Details

analyze441.0ms (1.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	74.8%	25.2%	8
0%	74.8%	25.2%	9
0%	74.8%	25.2%	10
0%	74.8%	25.2%	11
0%	74.8%	25.2%	12

Compiler

Compiled 26 to 20 computations (23.1% saved)

sample4.4s (18.4%)

Results

1.2s	5854×	body	256	invalid
1.2s	5109×	body	256	valid
1.0s	1656×	body	1024	valid
597.0ms	754×	body	2048	valid
280.0ms	736×	body	512	valid
3.0ms	1×	body	4096	valid

preprocess90.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

768×	`times-frac_binary64`
445×	`sub-neg_binary64`
424×	`fma-neg_binary64`
394×	`fma-def_binary64`
378×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	114	464
1	280	464
2	569	464
3	1059	432
4	2182	400
5	4013	400
6	6195	400
0	6	6
1	6	6

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1
2
3
4
5

Outputs
0
1
2
3
2
4
5

Call 2

Inputs
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 y)) (cos.f64 (-.f64 x (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 z)) (cos.f64 (-.f64 y (/.f64 (.f64 x t) 3)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 t)) (cos.f64 (-.f64 y (/.f64 (.f64 z x) 3)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 a)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 x (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 b)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 x 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 z (/.f64 (.f64 y t) 3)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 t (/.f64 (.f64 z y) 3)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 a (/.f64 (.f64 z t) 3)))) (/.f64 y (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 b (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 y 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 t z) 3)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 a t) 3)))) (/.f64 z (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 b t) 3)))) (/.f64 a (.f64 z 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z a) 3)))) (/.f64 t (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z b) 3)))) (/.f64 a (.f64 t 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 b (.f64 a 3)))

Outputs
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 z (/.f64 3 t))))) (/.f64 a (*.f64 3 b)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 t 3) z)))) (/.f64 a (.f64 3 b)))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (-.f64 y (.f64 z (/.f64 t 3)))))) (/.f64 a (.f64 3 b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (.f64 z (/.f64 t 3))))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 -1/3 t) y))) (*.f64 (/.f64 a b) -1/3))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (*.f64 (/.f64 a b) -1/3))
(-.f64 (.f64 (.f64 2 (sqrt.f64 y)) (cos.f64 (-.f64 x (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 y)) (cos.f64 (-.f64 x (/.f64 z (/.f64 3 t))))) (/.f64 a (*.f64 3 b)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 y)) (cos.f64 (-.f64 x (.f64 (/.f64 t 3) z)))) (/.f64 a (.f64 3 b)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 y)) (cos.f64 (-.f64 x (.f64 z (/.f64 t 3))))) (/.f64 a (.f64 3 b)))
(fma.f64 (.f64 2 (sqrt.f64 y)) (cos.f64 (-.f64 x (.f64 z (/.f64 t 3)))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 (.f64 2 (sqrt.f64 y)) (cos.f64 (fma.f64 z (.f64 -1/3 t) x)) (*.f64 (/.f64 a b) -1/3))
(fma.f64 (.f64 2 (sqrt.f64 y)) (cos.f64 (fma.f64 z (.f64 t -1/3) x)) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 (.f64 2 (sqrt.f64 y)) (cos.f64 (fma.f64 z (.f64 t -1/3) x)) (*.f64 (/.f64 a b) -1/3))
(-.f64 (.f64 (.f64 2 (sqrt.f64 z)) (cos.f64 (-.f64 y (/.f64 (.f64 x t) 3)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 z) (cos.f64 (-.f64 y (/.f64 x (/.f64 3 t)))))) (/.f64 a (*.f64 3 b)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 z) (cos.f64 (-.f64 y (.f64 (/.f64 t 3) x))))) (/.f64 a (.f64 3 b)))
(fma.f64 2 (.f64 (sqrt.f64 z) (cos.f64 (-.f64 y (.f64 x (/.f64 t 3))))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 z) (cos.f64 (fma.f64 t (.f64 -1/3 x) y))) (*.f64 (/.f64 a b) -1/3))
(fma.f64 2 (.f64 (sqrt.f64 z) (cos.f64 (fma.f64 x (.f64 t -1/3) y))) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 2 (.f64 (sqrt.f64 z) (cos.f64 (fma.f64 x (.f64 t -1/3) y))) (*.f64 (/.f64 a b) -1/3))
(-.f64 (.f64 (.f64 2 (sqrt.f64 t)) (cos.f64 (-.f64 y (/.f64 (.f64 z x) 3)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 t)) (cos.f64 (-.f64 y (/.f64 z (/.f64 3 x))))) (/.f64 a (*.f64 3 b)))
(-.f64 (.f64 (sqrt.f64 t) (.f64 2 (cos.f64 (-.f64 y (/.f64 x (/.f64 3 z)))))) (/.f64 a (*.f64 3 b)))
(-.f64 (.f64 (sqrt.f64 t) (.f64 2 (cos.f64 (-.f64 y (.f64 (/.f64 x 3) z))))) (/.f64 a (.f64 3 b)))
(fma.f64 (.f64 2 (sqrt.f64 t)) (cos.f64 (fma.f64 (/.f64 z 3) (neg.f64 x) y)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 (.f64 2 (sqrt.f64 t)) (cos.f64 (fma.f64 x (.f64 -1/3 z) y)) (*.f64 (/.f64 a b) -1/3))
(fma.f64 (.f64 2 (sqrt.f64 t)) (cos.f64 (fma.f64 x (.f64 z -1/3) y)) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 (.f64 2 (sqrt.f64 t)) (cos.f64 (fma.f64 x (.f64 z -1/3) y)) (*.f64 (/.f64 a b) -1/3))
(-.f64 (.f64 (.f64 2 (sqrt.f64 a)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 x (.f64 b 3)))
(-.f64 (.f64 (cos.f64 (-.f64 y (/.f64 z (/.f64 3 t)))) (.f64 2 (sqrt.f64 a))) (/.f64 x (*.f64 3 b)))
(-.f64 (.f64 (cos.f64 (-.f64 y (.f64 (/.f64 t 3) z))) (.f64 2 (sqrt.f64 a))) (/.f64 x (.f64 3 b)))
(-.f64 (.f64 (cos.f64 (-.f64 y (.f64 z (/.f64 t 3)))) (.f64 2 (sqrt.f64 a))) (/.f64 x (.f64 3 b)))
(fma.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 z (/.f64 t 3)))) (sqrt.f64 a)) (*.f64 -1/3 (/.f64 x b)))
(fma.f64 2 (.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) (sqrt.f64 a)) (*.f64 (/.f64 x b) -1/3))
(fma.f64 2 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (sqrt.f64 a)) (/.f64 -1/3 (/.f64 b x)))
(fma.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 a)) (/.f64 -1/3 (/.f64 b x)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 b)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 x 3)))
(fma.f64 (.f64 2 (sqrt.f64 b)) (cos.f64 (-.f64 y (/.f64 z (/.f64 3 t)))) (neg.f64 (/.f64 a (.f64 x 3))))
(-.f64 (.f64 (cos.f64 (-.f64 y (.f64 (/.f64 t 3) z))) (.f64 2 (sqrt.f64 b))) (/.f64 a (.f64 x 3)))
(-.f64 (.f64 (cos.f64 (-.f64 y (.f64 z (/.f64 t 3)))) (.f64 2 (sqrt.f64 b))) (/.f64 a (.f64 x 3)))
(fma.f64 (cos.f64 (-.f64 y (.f64 z (/.f64 t 3)))) (.f64 2 (sqrt.f64 b)) (*.f64 -1/3 (/.f64 a x)))
(fma.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) (.f64 2 (sqrt.f64 b)) (*.f64 (/.f64 a x) -1/3))
(fma.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 b)) (*.f64 a (/.f64 -1/3 x)))
(fma.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 b)) (*.f64 (/.f64 a x) -1/3))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 z (/.f64 (.f64 y t) 3)))) (/.f64 a (.f64 b 3)))
(fma.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 z (/.f64 y (/.f64 3 t)))) (neg.f64 (/.f64 a (.f64 3 b))))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (-.f64 z (/.f64 y (/.f64 3 t)))))) (/.f64 a (*.f64 3 b)))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (-.f64 z (.f64 (/.f64 t 3) y))))) (/.f64 a (.f64 3 b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 z (.f64 y (/.f64 t 3))))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 t (.f64 -1/3 y) z))) (*.f64 (/.f64 a b) -1/3))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 y (.f64 t -1/3) z))) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 y (.f64 t -1/3) z))) (*.f64 (/.f64 a b) -1/3))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 t (/.f64 (.f64 z y) 3)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 t (/.f64 z (/.f64 3 y))))) (/.f64 a (*.f64 3 b)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 t (/.f64 y (/.f64 3 z))))) (/.f64 a (*.f64 3 b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 t (/.f64 z (/.f64 3 y))))) (.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 (.f64 -1/3 y) z t))) (*.f64 (/.f64 a b) -1/3))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 y -1/3) t))) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (fma.f64 z (.f64 y -1/3) t)) (*.f64 (/.f64 a b) -1/3))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 a (/.f64 (.f64 z t) 3)))) (/.f64 y (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 a (/.f64 z (/.f64 3 t))))) (/.f64 (/.f64 y b) 3))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 a (.f64 (/.f64 t 3) z)))) (/.f64 y (.f64 3 b)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 a (.f64 z (/.f64 t 3))))) (/.f64 y (.f64 3 b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 a (.f64 z (/.f64 t 3))))) (*.f64 -1/3 (/.f64 y b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 -1/3 t) a))) (*.f64 (/.f64 y b) -1/3))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) a))) (*.f64 y (/.f64 -1/3 b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) a))) (/.f64 y (/.f64 b -1/3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 b (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 y 3)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 b (/.f64 z (/.f64 3 t)))))) (/.f64 a (*.f64 y 3)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 b (.f64 (/.f64 t 3) z))))) (/.f64 a (.f64 y 3)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 b (.f64 z (/.f64 t 3)))))) (/.f64 a (.f64 y 3)))
(fma.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 b (.f64 z (/.f64 t 3)))) (*.f64 -1/3 (/.f64 a y)))
(fma.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (fma.f64 z (.f64 -1/3 t) b)) (*.f64 (/.f64 a y) -1/3))
(fma.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (fma.f64 z (.f64 t -1/3) b)) (*.f64 (/.f64 a y) -1/3))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) b))) (*.f64 (/.f64 a y) -1/3))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 t z) 3)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 z (/.f64 3 t))))) (/.f64 a (*.f64 3 b)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 t 3) z)))) (/.f64 a (.f64 3 b)))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (-.f64 y (.f64 z (/.f64 t 3)))))) (/.f64 a (.f64 3 b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (.f64 z (/.f64 t 3))))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 -1/3 t) y))) (*.f64 (/.f64 a b) -1/3))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (*.f64 (/.f64 a b) -1/3))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 a t) 3)))) (/.f64 z (.f64 b 3)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (/.f64 a (/.f64 3 t)))))) (/.f64 (/.f64 z b) 3))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 a 3) t)))) (/.f64 z (.f64 3 b)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 t (/.f64 a 3))))) (/.f64 z (.f64 3 b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (.f64 a (/.f64 t 3))))) (*.f64 -1/3 (/.f64 z b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 t (.f64 -1/3 a) y))) (*.f64 (/.f64 z b) -1/3))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 t (.f64 a -1/3) y))) (*.f64 z (/.f64 -1/3 b)))
(fma.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (fma.f64 t (.f64 a -1/3) y)) (*.f64 z (/.f64 -1/3 b)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 b t) 3)))) (/.f64 a (.f64 z 3)))
(fma.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 b (/.f64 3 t)))) (neg.f64 (/.f64 a (.f64 z 3))))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 b 3) t)))) (/.f64 a (.f64 z 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 t (/.f64 b 3))))) (/.f64 a (.f64 z 3)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (-.f64 y (.f64 t (/.f64 b 3))))) (*.f64 -1/3 (/.f64 a z)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 t (.f64 -1/3 b) y))) (*.f64 (/.f64 a z) -1/3))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 -1/3 (.f64 t b) y))) (*.f64 (/.f64 a z) -1/3))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 t (.f64 b -1/3) y))) (*.f64 a (/.f64 -1/3 z)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z a) 3)))) (/.f64 t (.f64 b 3)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (/.f64 z (/.f64 3 a)))))) (/.f64 t (*.f64 3 b)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 a (/.f64 3 z))))) (/.f64 t (*.f64 3 b)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 a 3) z)))) (/.f64 t (.f64 3 b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (.f64 z (/.f64 a 3))))) (*.f64 -1/3 (/.f64 t b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 (.f64 -1/3 a) z y))) (*.f64 (/.f64 t b) -1/3))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 a -1/3) y))) (*.f64 t (/.f64 -1/3 b)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z b) 3)))) (/.f64 a (.f64 t 3)))
(fma.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 z (/.f64 3 b)))) (neg.f64 (/.f64 (/.f64 a t) 3)))
(fma.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 z (/.f64 3 b)))) (/.f64 (neg.f64 (/.f64 a t)) 3))
(fma.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 b 3) z))) (/.f64 (neg.f64 (/.f64 a t)) 3))
(fma.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 z (/.f64 b 3)))) (*.f64 -1/3 (/.f64 a t)))
(fma.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (fma.f64 (.f64 -1/3 b) z y)) (/.f64 (*.f64 -1/3 a) t))
(fma.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (fma.f64 z (.f64 b -1/3) y)) (*.f64 a (/.f64 -1/3 t)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 b -1/3) y))) (*.f64 a (/.f64 -1/3 t)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 b (.f64 a 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 z (/.f64 3 t))))) (/.f64 b (*.f64 3 a)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 t 3) z)))) (/.f64 b (.f64 3 a)))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (-.f64 y (.f64 z (/.f64 t 3)))))) (/.f64 b (.f64 3 a)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (.f64 z (/.f64 t 3))))) (*.f64 -1/3 (/.f64 b a)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 -1/3 t) y))) (*.f64 (/.f64 b a) -1/3))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (*.f64 b (/.f64 -1/3 a)))

Symmetry

(sort z t)

Compiler

Compiled 31 to 25 computations (19.4% saved)

simplify75.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

718×	`fma-def_binary64`
437×	`fma-neg_binary64`
148×	`cancel-sign-sub-inv_binary64`
110×	`distribute-rgt-neg-in_binary64`
109×	`associate-/l*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	19	29
1	34	29
2	65	29
3	120	27
4	241	25
5	399	25
6	639	25
7	921	25
8	1220	25
9	1755	25
10	2422	25
11	2784	25
12	2876	25
13	2892	25
14	2892	25

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))

Outputs
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))) (/.f64 (/.f64 a b) 3))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (.f64 (/.f64 z 3) t))))) (/.f64 a (.f64 3 b)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (.f64 t (/.f64 z 3)))))) (/.f64 a (.f64 3 b)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (-.f64 y (.f64 z (/.f64 t 3))))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 t (.f64 -1/3 z) y))) (/.f64 (*.f64 -1/3 a) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 -1/3 t) y))) (/.f64 a (/.f64 b -1/3)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (/.f64 (*.f64 a -1/3) b))

eval1.0ms (0%)

Compiler: Compiled 42 to 29 computations (31% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

18.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	18.3b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (/.f64 (*.f64 a -1/3) b))
▶	18.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))

Compiler

Compiled 48 to 36 computations (25% saved)

localize34.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (*.f64 z t) 3)
✓	0.2b	(/.f64 a (*.f64 b 3))
✓	0.2b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
✓	22.4b	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))

Compiler

Compiled 83 to 44 computations (47% saved)

series23.0ms (0.1%)

Counts

4 → 120

Calls

33 calls:

Time	Variable		Point	Expression
2.0ms	t	@	inf	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
1.0ms	x	@	0	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
1.0ms	x	@	-inf	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
1.0ms	z	@	0	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))
1.0ms	t	@	0	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))

rewrite98.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

627×	`prod-diff_binary64`
358×	`expm1-udef_binary64`
358×	`log1p-udef_binary64`
287×	`fma-def_binary64`
203×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	46
1	393	46
2	5250	42

Stop Event

1×	node limit

Counts

4 → 125

Calls

Call 1

Inputs
(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))
(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
(/.f64 a (*.f64 b 3))
(/.f64 (*.f64 z t) 3)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) 1) (.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3)) (neg.f64 (.f64 (sin.f64 (.f64 (.f64 z t) -1/3)) (sin.f64 y)))) (fma.f64 (neg.f64 (sin.f64 (.f64 (.f64 z t) -1/3))) (sin.f64 y) (.f64 (sin.f64 (.f64 (.f64 z t) -1/3)) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))) 2) (cbrt.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))) (sqrt.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) 3) (pow.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) 3)) (fma.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (-.f64 (.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))) (.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3))))) (.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))))) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3)) (neg.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 (.f64 z (.f64 t 1/3))) (cos.f64 y) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) 1 (.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 (.f64 z (.f64 t 1/3))) (sin.f64 y) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3))))) (cbrt.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))))) (cbrt.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3))))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))) (cbrt.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))))) (cbrt.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3))))) (sqrt.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3))))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))) (sqrt.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))) (.f64 (cos.f64 y) (cos.f64 (.f64 z (*.f64 t 1/3)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 2 (sqrt.f64 x))) (.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) (.f64 2 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 2 (sqrt.f64 x)) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3))))) (.f64 (.f64 2 (sqrt.f64 x)) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) 2) (.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))) (.f64 2 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) 3) (pow.f64 (.f64 2 (sqrt.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 2 (sqrt.f64 x)) 3) (pow.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 2 (sqrt.f64 x)) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (.f64 2 (sqrt.f64 x)) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 2 (sqrt.f64 x)) (.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) (*.f64 2 (sqrt.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 a 3) b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 a (/.f64 1/3 b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 a 3) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (/.f64 a 3) b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (/.f64 a 3) b)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 a 3) b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 a 3) b)) 2) (cbrt.f64 (/.f64 (/.f64 a 3) b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 a) 2) (.f64 (cbrt.f64 a) (/.f64 1/3 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (/.f64 a 3) b)) (sqrt.f64 (/.f64 (/.f64 a 3) b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) (/.f64 1/3 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 a) (/.f64 1 (.f64 b -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/3 b) a)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/3 (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a b) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) 3) (/.f64 (cbrt.f64 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 a) 3) (/.f64 (sqrt.f64 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 a) b) (/.f64 (sqrt.f64 a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 b) (/.f64 a 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) b) (/.f64 (cbrt.f64 a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) 1) (/.f64 (cbrt.f64 a) (.f64 3 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 a) 1) (/.f64 (sqrt.f64 a) (.f64 3 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (.f64 9 (.f64 b b)))) (/.f64 a (cbrt.f64 (.f64 3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 (.f64 9 (.f64 b b)))) (cbrt.f64 (/.f64 (/.f64 a 3) b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 a) (cbrt.f64 (.f64 9 (.f64 b b)))) (/.f64 (sqrt.f64 a) (cbrt.f64 (.f64 3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (.f64 3 b))) (/.f64 a (sqrt.f64 (.f64 3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (sqrt.f64 (.f64 3 b))) (/.f64 (cbrt.f64 a) (sqrt.f64 (.f64 3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 a 3) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 a 3) b) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 a 3) b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 a 3) b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 3 (/.f64 b a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 a (.f64 b -3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 a 3) b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (cbrt.f64 (exp.f64 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 a 3) b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 a 3) b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 a 3) (pow.f64 (.f64 3 b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 a 3) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 a 3) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 a 3) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 a 3) b)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 z (.f64 t 1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 z (/.f64 1 (/.f64 3 t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 z (.f64 t 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 t (.f64 z 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 z t) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 z (.f64 t 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 z (.f64 t 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (cbrt.f64 (.f64 z t)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2) (cbrt.f64 (.f64 z (.f64 t 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 z t)) (.f64 (sqrt.f64 (.f64 z t)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 z (.f64 t 1/3))) (sqrt.f64 (.f64 z (.f64 t 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 z (neg.f64 t)) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/3 (.f64 z t))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 z 3) t)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 z (.f64 t 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 z (.f64 t 1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (.f64 z t) 3) 1/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 3 z) t) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 z t) -3))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 z (.f64 t 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 z (.f64 t 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 z t) 3) 1/27))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 z (.f64 t 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 z (.f64 t 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 z (.f64 t 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 z (*.f64 t 1/3))) 1))))))

simplify86.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

714×	`associate-r_binary64`
688×	`associate-l_binary64`
645×	`fma-def_binary64`
395×	`distribute-rgt-neg-out_binary64`
358×	`distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	100	1982
1	305	1827
2	970	1713
3	4578	1707

Stop Event

1×	node limit

Counts

245 → 166

Calls

Call 1

Inputs
(cos.f64 (neg.f64 (.f64 1/3 (.f64 t z))))
(+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) y)) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) y)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z))))))
(+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) y)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))) (+.f64 (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) (.f64 1/6 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) (pow.f64 y 3))))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (neg.f64 (+.f64 (.f64 1/3 (.f64 t z)) (*.f64 -1 y))))
(cos.f64 (neg.f64 (+.f64 (.f64 1/3 (.f64 t z)) (*.f64 -1 y))))
(cos.f64 (neg.f64 (+.f64 (.f64 1/3 (.f64 t z)) (*.f64 -1 y))))
(cos.f64 (neg.f64 (+.f64 (.f64 1/3 (.f64 t z)) (*.f64 -1 y))))
(cos.f64 y)
(+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))
(+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))))
(+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y)))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 y)
(+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (+.f64 (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (pow.f64 z 2) (cos.f64 y))))))
(+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y)))) (+.f64 (cos.f64 y) (+.f64 (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 -1/18 (.f64 (pow.f64 t 2) (*.f64 (pow.f64 z 2) (cos.f64 y)))))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(.f64 2 (.f64 (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) (sqrt.f64 x)))
(+.f64 (.f64 2 (.f64 (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) (sqrt.f64 x))) (.f64 -2 (.f64 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y) (sqrt.f64 x))))
(+.f64 (.f64 -1 (.f64 (.f64 (pow.f64 y 2) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z))))) (sqrt.f64 x))) (+.f64 (.f64 2 (.f64 (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) (sqrt.f64 x))) (.f64 -2 (.f64 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) y) (sqrt.f64 x)))))
(+.f64 (.f64 -1 (.f64 (.f64 (pow.f64 y 2) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z))))) (sqrt.f64 x))) (+.f64 (.f64 2 (.f64 (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) (sqrt.f64 x))) (+.f64 (.f64 -2 (.f64 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) y) (sqrt.f64 x))) (.f64 1/3 (.f64 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) (pow.f64 y 3)) (sqrt.f64 x))))))
(.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z)))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z)))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z)))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z)))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (neg.f64 (+.f64 (.f64 1/3 (.f64 t z)) (*.f64 -1 y))))))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (neg.f64 (+.f64 (.f64 1/3 (.f64 t z)) (*.f64 -1 y))))))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (neg.f64 (+.f64 (.f64 1/3 (.f64 t z)) (*.f64 -1 y))))))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (neg.f64 (+.f64 (.f64 1/3 (.f64 t z)) (*.f64 -1 y))))))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))))
(+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (.f64 (pow.f64 z 2) (cos.f64 y))) (sqrt.f64 x)))))
(+.f64 (.f64 -1/81 (.f64 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y))) (sqrt.f64 x))) (+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (.f64 (pow.f64 z 2) (cos.f64 y))) (sqrt.f64 x))))))
(.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z)))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z)))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z)))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z)))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z)))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z)))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z)))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z)))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))))
(+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (.f64 (pow.f64 z 2) (cos.f64 y))) (sqrt.f64 x)))))
(+.f64 (.f64 -1/81 (.f64 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y))) (sqrt.f64 x))) (+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (.f64 (pow.f64 z 2) (cos.f64 y))) (sqrt.f64 x))))))
(.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z)))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z)))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z)))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z)))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z)))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z)))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z)))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z)))) (sqrt.f64 x)))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))

Outputs
(cos.f64 (neg.f64 (.f64 1/3 (.f64 t z))))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 z (.f64 1/3 t)))
(+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) y)) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))
(fma.f64 -1 (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) y) (cos.f64 (.f64 1/3 (*.f64 t z))))
(-.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (.f64 (sin.f64 (.f64 (*.f64 t z) -1/3)) y))
(fma.f64 y (sin.f64 (.f64 1/3 (.f64 t z))) (cos.f64 (.f64 1/3 (.f64 t z))))
(fma.f64 y (sin.f64 (.f64 z (.f64 1/3 t))) (cos.f64 (.f64 z (.f64 1/3 t))))
(+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) y)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z))))))
(fma.f64 -1 (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) y) (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (.f64 y y)) (cos.f64 (.f64 1/3 (*.f64 t z)))))
(-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 y y)) 1) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 (sin.f64 (.f64 (.f64 t z) -1/3)) y))
(fma.f64 y (sin.f64 (.f64 1/3 (.f64 t z))) (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (fma.f64 (.f64 y -1/2) y 1)))
(fma.f64 (cos.f64 (.f64 z (.f64 1/3 t))) (fma.f64 (.f64 y -1/2) y 1) (.f64 y (sin.f64 (.f64 z (.f64 1/3 t)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) y)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))) (+.f64 (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) (.f64 1/6 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) (pow.f64 y 3))))))
(fma.f64 -1 (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) y) (+.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (.f64 y y)) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 (.f64 1/6 (sin.f64 (.f64 -1/3 (*.f64 t z)))) (pow.f64 y 3))))
(+.f64 (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 y y)) 1) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 (sin.f64 (.f64 (.f64 t z) -1/3)) y)) (.f64 (sin.f64 (.f64 (.f64 t z) -1/3)) (.f64 (pow.f64 y 3) 1/6)))
(fma.f64 (fma.f64 (.f64 y -1/2) y 1) (cos.f64 (.f64 1/3 (.f64 t z))) (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (+.f64 (*.f64 1/6 (pow.f64 y 3)) (neg.f64 y))))
(fma.f64 (cos.f64 (.f64 z (.f64 1/3 t))) (fma.f64 (.f64 y -1/2) y 1) (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (-.f64 (*.f64 1/6 (pow.f64 y 3)) y)))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (neg.f64 (+.f64 (.f64 1/3 (.f64 t z)) (*.f64 -1 y))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (neg.f64 (+.f64 (.f64 1/3 (.f64 t z)) (*.f64 -1 y))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (neg.f64 (+.f64 (.f64 1/3 (.f64 t z)) (*.f64 -1 y))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (neg.f64 (+.f64 (.f64 1/3 (.f64 t z)) (*.f64 -1 y))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 y)
(+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (.f64 (.f64 1/3 t) (*.f64 z (sin.f64 y))))
(fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (cos.f64 y))
(fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))
(fma.f64 t (.f64 z (.f64 1/3 (sin.f64 y))) (cos.f64 y))
(+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))))
(+.f64 (cos.f64 y) (fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (.f64 (.f64 -1/18 (.f64 t t)) (.f64 (cos.f64 y) (*.f64 z z)))))
(fma.f64 -1/18 (.f64 (cos.f64 y) (.f64 (.f64 t z) (.f64 t z))) (fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (cos.f64 y)))
(fma.f64 (.f64 z (.f64 z (cos.f64 y))) (.f64 t (.f64 t -1/18)) (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y)))
(fma.f64 t (.f64 z (.f64 1/3 (sin.f64 y))) (fma.f64 (.f64 t t) (.f64 (cos.f64 y) (.f64 z (.f64 z -1/18))) (cos.f64 y)))
(+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y)))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(fma.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (sin.f64 y) (pow.f64 z 3))) (+.f64 (cos.f64 y) (fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (.f64 (.f64 -1/18 (.f64 t t)) (.f64 (cos.f64 y) (*.f64 z z))))))
(fma.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (sin.f64 y) (pow.f64 z 3))) (fma.f64 -1/18 (.f64 (cos.f64 y) (.f64 (.f64 t z) (.f64 t z))) (fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (cos.f64 y))))
(+.f64 (fma.f64 -1/18 (.f64 z (.f64 t (.f64 (.f64 t (cos.f64 y)) z))) (cos.f64 y)) (.f64 (sin.f64 y) (+.f64 (.f64 1/3 (.f64 t z)) (.f64 -1/162 (*.f64 (pow.f64 t 3) (pow.f64 z 3))))))
(+.f64 (fma.f64 (.f64 t t) (.f64 (cos.f64 y) (.f64 z (.f64 z -1/18))) (cos.f64 y)) (.f64 (sin.f64 y) (+.f64 (.f64 z (.f64 1/3 t)) (.f64 -1/162 (*.f64 (pow.f64 t 3) (pow.f64 z 3))))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 y)
(+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (.f64 (.f64 1/3 t) (*.f64 z (sin.f64 y))))
(fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (cos.f64 y))
(fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))
(fma.f64 t (.f64 z (.f64 1/3 (sin.f64 y))) (cos.f64 y))
(+.f64 (cos.f64 y) (+.f64 (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (pow.f64 z 2) (cos.f64 y))))))
(+.f64 (cos.f64 y) (fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (.f64 (.f64 -1/18 (.f64 t t)) (.f64 (cos.f64 y) (*.f64 z z)))))
(fma.f64 -1/18 (.f64 (cos.f64 y) (.f64 (.f64 t z) (.f64 t z))) (fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (cos.f64 y)))
(fma.f64 (.f64 z (.f64 z (cos.f64 y))) (.f64 t (.f64 t -1/18)) (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y)))
(fma.f64 t (.f64 z (.f64 1/3 (sin.f64 y))) (fma.f64 (.f64 t t) (.f64 (cos.f64 y) (.f64 z (.f64 z -1/18))) (cos.f64 y)))
(+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y)))) (+.f64 (cos.f64 y) (+.f64 (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 -1/18 (.f64 (pow.f64 t 2) (*.f64 (pow.f64 z 2) (cos.f64 y)))))))
(fma.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (sin.f64 y) (pow.f64 z 3))) (+.f64 (cos.f64 y) (fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (.f64 (.f64 -1/18 (.f64 t t)) (.f64 (cos.f64 y) (*.f64 z z))))))
(fma.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (sin.f64 y) (pow.f64 z 3))) (fma.f64 -1/18 (.f64 (cos.f64 y) (.f64 (.f64 t z) (.f64 t z))) (fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (cos.f64 y))))
(+.f64 (fma.f64 -1/18 (.f64 z (.f64 t (.f64 (.f64 t (cos.f64 y)) z))) (cos.f64 y)) (.f64 (sin.f64 y) (+.f64 (.f64 1/3 (.f64 t z)) (.f64 -1/162 (*.f64 (pow.f64 t 3) (pow.f64 z 3))))))
(+.f64 (fma.f64 (.f64 t t) (.f64 (cos.f64 y) (.f64 z (.f64 z -1/18))) (cos.f64 y)) (.f64 (sin.f64 y) (+.f64 (.f64 z (.f64 1/3 t)) (.f64 -1/162 (*.f64 (pow.f64 t 3) (pow.f64 z 3))))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(.f64 2 (.f64 (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (sqrt.f64 x)))
(.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (.f64 2 (sqrt.f64 x)))
(.f64 (cos.f64 (.f64 z (.f64 1/3 t))) (.f64 2 (sqrt.f64 x)))
(+.f64 (.f64 2 (.f64 (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) (sqrt.f64 x))) (.f64 -2 (.f64 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y) (sqrt.f64 x))))
(fma.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (sqrt.f64 x)) (.f64 -2 (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) (.f64 y (sqrt.f64 x)))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 -2 (sin.f64 (.f64 (.f64 t z) -1/3))) y) (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 2)))
(.f64 (sqrt.f64 x) (fma.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 2 (.f64 y (.f64 2 (sin.f64 (.f64 1/3 (*.f64 t z)))))))
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(.f64 2 (.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) (sqrt.f64 x)))
(.f64 (cos.f64 (fma.f64 t (.f64 z -1/3) y)) (*.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z)))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z)))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (fma.f64 -1/3 (*.f64 t z) y)) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) (sqrt.f64 x)))
(.f64 (cos.f64 (fma.f64 t (.f64 z -1/3) y)) (*.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z)))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z)))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (fma.f64 -1/3 (*.f64 t z) y)) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) (sqrt.f64 x)))
(.f64 (cos.f64 (fma.f64 t (.f64 z -1/3) y)) (*.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z)))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z)))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (fma.f64 -1/3 (*.f64 t z) y)) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) (sqrt.f64 x)))
(.f64 (cos.f64 (fma.f64 t (.f64 z -1/3) y)) (*.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 1/3 (.f64 t z)))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z)))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (fma.f64 -1/3 (*.f64 t z) y)) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) (sqrt.f64 x)))
(.f64 (cos.f64 (fma.f64 t (.f64 z -1/3) y)) (*.f64 2 (sqrt.f64 x)))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(.f64 1/3 (.f64 t z))
(.f64 z (.f64 1/3 t))
(.f64 1/3 (.f64 t z))
(.f64 z (.f64 1/3 t))
(.f64 1/3 (.f64 t z))
(.f64 z (.f64 1/3 t))
(.f64 1/3 (.f64 t z))
(.f64 z (.f64 1/3 t))
(.f64 1/3 (.f64 t z))
(.f64 z (.f64 1/3 t))
(.f64 1/3 (.f64 t z))
(.f64 z (.f64 1/3 t))
(.f64 1/3 (.f64 t z))
(.f64 z (.f64 1/3 t))
(.f64 1/3 (.f64 t z))
(.f64 z (.f64 1/3 t))
(.f64 1/3 (.f64 t z))
(.f64 z (.f64 1/3 t))
(.f64 1/3 (.f64 t z))
(.f64 z (.f64 1/3 t))
(.f64 1/3 (.f64 t z))
(.f64 z (.f64 1/3 t))
(.f64 1/3 (.f64 t z))
(.f64 z (.f64 1/3 t))
(.f64 1/3 (.f64 t z))
(.f64 z (.f64 1/3 t))
(.f64 1/3 (.f64 t z))
(.f64 z (.f64 1/3 t))
(.f64 1/3 (.f64 t z))
(.f64 z (.f64 1/3 t))
(.f64 1/3 (.f64 t z))
(.f64 z (.f64 1/3 t))
(.f64 1/3 (.f64 t z))
(.f64 z (.f64 1/3 t))
(.f64 1/3 (.f64 t z))
(.f64 z (.f64 1/3 t))
(.f64 1/3 (.f64 t z))
(.f64 z (.f64 1/3 t))
(.f64 1/3 (.f64 t z))
(.f64 z (.f64 1/3 t))
(.f64 1/3 (.f64 t z))
(.f64 z (.f64 1/3 t))
(.f64 1/3 (.f64 t z))
(.f64 z (.f64 1/3 t))
(.f64 1/3 (.f64 t z))
(.f64 z (.f64 1/3 t))
(.f64 1/3 (.f64 t z))
(.f64 z (.f64 1/3 t))

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (*.f64 a -1/3) b)
✓	0.3b	(*.f64 t -1/3)
✓	0.3b	(*.f64 a -1/3)
✓	22.3b	(cos.f64 (fma.f64 z (*.f64 t -1/3) y))

Compiler

Compiled 66 to 39 computations (40.9% saved)

series129.0ms (0.5%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
118.0ms	a	@	inf	(*.f64 a -1/3)
4.0ms	a	@	-inf	(*.f64 a -1/3)
1.0ms	z	@	0	(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
1.0ms	y	@	0	(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
1.0ms	t	@	0	(cos.f64 (fma.f64 z (*.f64 t -1/3) y))

rewrite78.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

623×	`log-prod_binary64`
347×	`pow-prod-down_binary64`
326×	`pow2_binary64`
227×	`pow1/3_binary64`
226×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	244	25
2	3055	25

Stop Event

1×	node limit

Counts

4 → 124

Calls

Call 1

Inputs
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(*.f64 a -1/3)
(*.f64 t -1/3)
(/.f64 (*.f64 a -1/3) b)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cos.f64 (.f64 (.f64 z t) -1/3)) (cos.f64 y) (neg.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (fma.f64 (neg.f64 (sin.f64 y)) (sin.f64 (.f64 (.f64 z t) -1/3)) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 z (.f64 t -1/3) y)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 z (.f64 t -1/3) y)))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (.f64 (.f64 z t) -1/3)) (cos.f64 y)) (.f64 (sin.f64 (.f64 (.f64 z t) -1/3)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (.f64 (.f64 (.f64 z t) -1/3) 1)) (cos.f64 y)) (.f64 (sin.f64 (.f64 (.f64 (.f64 z t) -1/3) 1)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) 2) (cbrt.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (sqrt.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 (.f64 (.f64 z t) -1/3)) (cos.f64 y) (neg.f64 (.f64 (sin.f64 (.f64 (*.f64 z t) -1/3)) (sin.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 -1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) a)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) a))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 -1/3 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -1/3 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 a a) 1/9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 -1/3 a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 -1/3 a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 -1/3 a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 a a) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/3) a))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 -1/3 a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 -1/3 a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 -1/3 a))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 -1/3 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 -1/3 a))) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 t -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) t)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) t))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) t))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 t -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 t -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 t t) 1/9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 t -1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 t -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 t -1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 t t) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/3) t))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 t -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 t -1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 t -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 t -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 t -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 t -1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 t -1/3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 t -1/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 t -1/3))) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 -1/3 (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 -1/3 (/.f64 a b)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (.f64 -1/3 (/.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 -1/3 (/.f64 a b))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 -1/3 (/.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 -1/3 (/.f64 a b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/3 (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/3 (.f64 a (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 a (/.f64 1 (.f64 b -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 a (.f64 -1/3 (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -1/3 a) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -1/3 (/.f64 a b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 -1/3 (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 -1/3 (/.f64 a b))) (pow.f64 (cbrt.f64 (.f64 -1/3 (/.f64 a b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 -1/3 (/.f64 a b))) 2) (cbrt.f64 (.f64 -1/3 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (.f64 a a) 1/9)) (.f64 (cbrt.f64 (.f64 -1/3 a)) (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 -1/3 (/.f64 a b))) (sqrt.f64 (.f64 -1/3 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 -1/3 a)) (.f64 (sqrt.f64 (.f64 -1/3 a)) (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a 1/3) (/.f64 1 (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 b) (.f64 -1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a b) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a 1) (/.f64 -1/3 b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (.f64 (.f64 a a) 1/9)) 1) (/.f64 (cbrt.f64 (.f64 -1/3 a)) b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 -1/3 a)) 1) (/.f64 (sqrt.f64 (.f64 -1/3 a)) b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1/3 (pow.f64 (cbrt.f64 b) 2)) (/.f64 a (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a (pow.f64 (cbrt.f64 b) 2)) (/.f64 -1/3 (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 b) -2) (/.f64 (.f64 -1/3 a) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (.f64 (.f64 a a) 1/9)) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 (.f64 -1/3 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 -1/3 a)) (pow.f64 (cbrt.f64 b) 2)) (/.f64 (sqrt.f64 (.f64 -1/3 a)) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1/3 (sqrt.f64 b)) (/.f64 a (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a (sqrt.f64 b)) (/.f64 -1/3 (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 b -1/2) (/.f64 (.f64 -1/3 a) (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (.f64 (.f64 a a) 1/9)) (sqrt.f64 b)) (/.f64 (cbrt.f64 (.f64 -1/3 a)) (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -1/3 (/.f64 a b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 -1/3 (/.f64 a b)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 -1/3 (/.f64 a b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 -1/3 (/.f64 a b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 -1/3 (/.f64 a b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -3 (/.f64 b a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (.f64 -1/3 a) 3) (pow.f64 b 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 -3 (/.f64 b a)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 -1/3 a) (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 -1/3 (/.f64 a b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 -1/3 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 -1/3 (/.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 -1/3 (/.f64 a b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (.f64 -1/3 a) 3) (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 -1/3 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 -1/3 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 -1/3 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 -1/3 (/.f64 a b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 -1/3 (/.f64 a b)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 -1/3 (/.f64 a b)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 -1/3 (/.f64 a b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 -3 (/.f64 b a))) -1))))))

simplify85.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

977×	`fma-neg_binary64`
570×	`distribute-lft-out_binary64`
520×	`unswap-sqr_binary64`
395×	`distribute-rgt-neg-in_binary64`
316×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	63	859
1	170	830
2	473	822
3	1788	807
4	2744	805
5	6299	805

Stop Event

1×	node limit

Counts

208 → 147

Calls

Call 1

Inputs
(cos.f64 y)
(+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))
(+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))))
(+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y)))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 y)
(+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (+.f64 (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (pow.f64 z 2) (cos.f64 y))))))
(+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y)))) (+.f64 (cos.f64 y) (+.f64 (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 -1/18 (.f64 (pow.f64 t 2) (*.f64 (pow.f64 z 2) (cos.f64 y)))))))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(+.f64 (.f64 -1 (.f64 y (sin.f64 (.f64 -1/3 (.f64 t z))))) (cos.f64 (.f64 -1/3 (.f64 t z))))
(+.f64 (.f64 -1 (.f64 y (sin.f64 (.f64 -1/3 (.f64 t z))))) (+.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (.f64 -1/2 (.f64 (pow.f64 y 2) (cos.f64 (.f64 -1/3 (.f64 t z)))))))
(+.f64 (.f64 -1 (.f64 y (sin.f64 (.f64 -1/3 (.f64 t z))))) (+.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) (sin.f64 (.f64 -1/3 (.f64 t z))))) (.f64 -1/2 (.f64 (pow.f64 y 2) (cos.f64 (.f64 -1/3 (.f64 t z))))))))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 t)
(*.f64 -1/3 t)
(*.f64 -1/3 t)
(*.f64 -1/3 t)
(*.f64 -1/3 t)
(*.f64 -1/3 t)
(*.f64 -1/3 t)
(*.f64 -1/3 t)
(*.f64 -1/3 t)
(*.f64 -1/3 t)
(*.f64 -1/3 t)
(*.f64 -1/3 t)
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))

Outputs
(cos.f64 y)
(+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))
(fma.f64 1/3 (.f64 (sin.f64 y) (.f64 t z)) (cos.f64 y))
(fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))
(+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))))
(fma.f64 -1/18 (.f64 (.f64 (.f64 t t) (.f64 z z)) (cos.f64 y)) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))))
(fma.f64 -1/18 (.f64 (cos.f64 y) (.f64 (.f64 t t) (.f64 z z))) (fma.f64 1/3 (.f64 (sin.f64 y) (.f64 t z)) (cos.f64 y)))
(fma.f64 (.f64 (cos.f64 y) (.f64 t (.f64 t -1/18))) (.f64 z z) (fma.f64 1/3 (.f64 (sin.f64 y) (.f64 t z)) (cos.f64 y)))
(+.f64 (cos.f64 y) (.f64 (.f64 t z) (+.f64 (.f64 1/3 (sin.f64 y)) (.f64 (.f64 t z) (.f64 (cos.f64 y) -1/18)))))
(+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y)))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(fma.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (sin.f64 y) (pow.f64 z 3))) (fma.f64 -1/18 (.f64 (.f64 (.f64 t t) (.f64 z z)) (cos.f64 y)) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(fma.f64 -1/162 (.f64 (.f64 (pow.f64 t 3) (sin.f64 y)) (pow.f64 z 3)) (fma.f64 -1/18 (.f64 (cos.f64 y) (.f64 (.f64 t t) (.f64 z z))) (fma.f64 1/3 (.f64 (sin.f64 y) (.f64 t z)) (cos.f64 y))))
(+.f64 (.f64 (+.f64 (.f64 -1/18 (.f64 t (.f64 z (.f64 t z)))) 1) (cos.f64 y)) (.f64 (sin.f64 y) (+.f64 (.f64 1/3 (.f64 t z)) (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))))))
(+.f64 (.f64 (.f64 t z) (+.f64 (.f64 1/3 (sin.f64 y)) (.f64 (.f64 t z) (.f64 (cos.f64 y) -1/18)))) (fma.f64 (pow.f64 t 3) (.f64 (sin.f64 y) (.f64 (pow.f64 z 3) -1/162)) (cos.f64 y)))
(+.f64 (.f64 (.f64 t z) (+.f64 (.f64 1/3 (sin.f64 y)) (.f64 (.f64 t z) (.f64 (cos.f64 y) -1/18)))) (fma.f64 (.f64 -1/162 (.f64 (sin.f64 y) (pow.f64 t 3))) (pow.f64 z 3) (cos.f64 y)))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 y)
(+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))
(fma.f64 1/3 (.f64 (sin.f64 y) (.f64 t z)) (cos.f64 y))
(fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))
(+.f64 (cos.f64 y) (+.f64 (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (pow.f64 z 2) (cos.f64 y))))))
(fma.f64 -1/18 (.f64 (.f64 (.f64 t t) (.f64 z z)) (cos.f64 y)) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))))
(fma.f64 -1/18 (.f64 (cos.f64 y) (.f64 (.f64 t t) (.f64 z z))) (fma.f64 1/3 (.f64 (sin.f64 y) (.f64 t z)) (cos.f64 y)))
(fma.f64 (.f64 (cos.f64 y) (.f64 t (.f64 t -1/18))) (.f64 z z) (fma.f64 1/3 (.f64 (sin.f64 y) (.f64 t z)) (cos.f64 y)))
(+.f64 (cos.f64 y) (.f64 (.f64 t z) (+.f64 (.f64 1/3 (sin.f64 y)) (.f64 (.f64 t z) (.f64 (cos.f64 y) -1/18)))))
(+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y)))) (+.f64 (cos.f64 y) (+.f64 (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 -1/18 (.f64 (pow.f64 t 2) (*.f64 (pow.f64 z 2) (cos.f64 y)))))))
(fma.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (sin.f64 y) (pow.f64 z 3))) (fma.f64 -1/18 (.f64 (.f64 (.f64 t t) (.f64 z z)) (cos.f64 y)) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(fma.f64 -1/162 (.f64 (.f64 (pow.f64 t 3) (sin.f64 y)) (pow.f64 z 3)) (fma.f64 -1/18 (.f64 (cos.f64 y) (.f64 (.f64 t t) (.f64 z z))) (fma.f64 1/3 (.f64 (sin.f64 y) (.f64 t z)) (cos.f64 y))))
(+.f64 (.f64 (+.f64 (.f64 -1/18 (.f64 t (.f64 z (.f64 t z)))) 1) (cos.f64 y)) (.f64 (sin.f64 y) (+.f64 (.f64 1/3 (.f64 t z)) (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))))))
(+.f64 (.f64 (.f64 t z) (+.f64 (.f64 1/3 (sin.f64 y)) (.f64 (.f64 t z) (.f64 (cos.f64 y) -1/18)))) (fma.f64 (pow.f64 t 3) (.f64 (sin.f64 y) (.f64 (pow.f64 z 3) -1/162)) (cos.f64 y)))
(+.f64 (.f64 (.f64 t z) (+.f64 (.f64 1/3 (sin.f64 y)) (.f64 (.f64 t z) (.f64 (cos.f64 y) -1/18)))) (fma.f64 (.f64 -1/162 (.f64 (sin.f64 y) (pow.f64 t 3))) (pow.f64 z 3) (cos.f64 y)))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 -1/3 z)))
(cos.f64 (.f64 t (.f64 z -1/3)))
(+.f64 (.f64 -1 (.f64 y (sin.f64 (.f64 -1/3 (.f64 t z))))) (cos.f64 (.f64 -1/3 (.f64 t z))))
(fma.f64 -1 (.f64 y (sin.f64 (.f64 -1/3 (.f64 t z)))) (cos.f64 (.f64 -1/3 (*.f64 t z))))
(-.f64 (cos.f64 (.f64 t (.f64 -1/3 z))) (.f64 y (sin.f64 (.f64 t (*.f64 -1/3 z)))))
(-.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (.f64 y (sin.f64 (.f64 t (*.f64 z -1/3)))))
(+.f64 (.f64 -1 (.f64 y (sin.f64 (.f64 -1/3 (.f64 t z))))) (+.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (.f64 -1/2 (.f64 (pow.f64 y 2) (cos.f64 (.f64 -1/3 (.f64 t z)))))))
(fma.f64 -1 (.f64 y (sin.f64 (.f64 -1/3 (.f64 t z)))) (+.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (.f64 -1/2 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (.f64 y y)))))
(-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 y y)) 1) (cos.f64 (.f64 t (.f64 -1/3 z)))) (.f64 y (sin.f64 (.f64 t (.f64 -1/3 z)))))
(-.f64 (.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (fma.f64 -1/2 (.f64 y y) 1)) (.f64 y (sin.f64 (.f64 t (*.f64 z -1/3)))))
(+.f64 (.f64 -1 (.f64 y (sin.f64 (.f64 -1/3 (.f64 t z))))) (+.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) (sin.f64 (.f64 -1/3 (.f64 t z))))) (.f64 -1/2 (.f64 (pow.f64 y 2) (cos.f64 (.f64 -1/3 (.f64 t z))))))))
(+.f64 (fma.f64 -1 (.f64 y (sin.f64 (.f64 -1/3 (.f64 t z)))) (cos.f64 (.f64 -1/3 (.f64 t z)))) (fma.f64 1/6 (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) (pow.f64 y 3)) (.f64 -1/2 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (*.f64 y y)))))
(+.f64 (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 y y)) 1) (cos.f64 (.f64 t (.f64 -1/3 z)))) (.f64 y (sin.f64 (.f64 t (.f64 -1/3 z))))) (.f64 (sin.f64 (.f64 t (.f64 -1/3 z))) (.f64 1/6 (pow.f64 y 3))))
(-.f64 (fma.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (.f64 1/6 (pow.f64 y 3)) (.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (fma.f64 -1/2 (.f64 y y) 1))) (.f64 y (sin.f64 (.f64 t (.f64 z -1/3)))))
(+.f64 (.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (fma.f64 -1/2 (.f64 y y) 1)) (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (-.f64 (.f64 1/6 (pow.f64 y 3)) y)))
(fma.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (fma.f64 -1/2 (.f64 y y) 1) (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (fma.f64 1/6 (pow.f64 y 3) (neg.f64 y))))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 t)
(*.f64 t -1/3)
(*.f64 -1/3 t)
(*.f64 t -1/3)
(*.f64 -1/3 t)
(*.f64 t -1/3)
(*.f64 -1/3 t)
(*.f64 t -1/3)
(*.f64 -1/3 t)
(*.f64 t -1/3)
(*.f64 -1/3 t)
(*.f64 t -1/3)
(*.f64 -1/3 t)
(*.f64 t -1/3)
(*.f64 -1/3 t)
(*.f64 t -1/3)
(*.f64 -1/3 t)
(*.f64 t -1/3)
(*.f64 -1/3 t)
(*.f64 t -1/3)
(*.f64 -1/3 t)
(*.f64 t -1/3)
(*.f64 -1/3 t)
(*.f64 t -1/3)
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 -1/3 b) a)
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 -1/3 b) a)
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 -1/3 b) a)
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 -1/3 b) a)
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 -1/3 b) a)
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 -1/3 b) a)
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 -1/3 b) a)
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 -1/3 b) a)
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 -1/3 b) a)
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 -1/3 b) a)
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 -1/3 b) a)
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 -1/3 b) a)
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 -1/3 b) a)
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 -1/3 b) a)
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 -1/3 b) a)
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 -1/3 b) a)
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 -1/3 b) a)
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 -1/3 b) a)
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 -1/3 b) a)
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 -1/3 b) a)
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 -1/3 b) a)
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 -1/3 b) a)
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 -1/3 b) a)
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 -1/3 b) a)

eval190.0ms (0.8%)

Compiler: Compiled 7846 to 4811 computations (38.7% saved)

prune137.0ms (0.6%)

Pruning

48 alts after pruning (48 fresh and 0 done)

	Pruned	Kept	Total
New	265	48	313
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	267	48	315

Error

13.0b

Counts

315 → 48

Alt Table

Click to see full alt table

Status	Error	Program
	20.6b	(fma.f64 (sqrt.f64 x) (.f64 2 (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))) (/.f64 (.f64 a -1/3) b))
	18.4b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (pow.f64 (cbrt.f64 (.f64 t -1/3)) 3) y))) (/.f64 (*.f64 a -1/3) b))
	28.4b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (.f64 t (.f64 z -1/3)))) (/.f64 (.f64 a -1/3) b))
	18.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 1/3 b) a))
	39.3b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (pow.f64 (pow.f64 (.f64 t -1/3) 3) 1/3) y))) (/.f64 (*.f64 a -1/3) b))
	43.9b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (/.f64 (pow.f64 (pow.f64 (*.f64 -1/3 a) 3) 1/3) b))
	18.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))) 3)) (/.f64 a (.f64 b 3)))
	18.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
	28.5b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (.f64 -1/3 (.f64 t z)))) (/.f64 (.f64 a -1/3) b))
	18.3b	(-.f64 (fma.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 2 (sqrt.f64 x)) (.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) (.f64 2 (sqrt.f64 x)))) (/.f64 a (.f64 b 3)))
	34.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 (sqrt.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3))))) (sqrt.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3))))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))))) (/.f64 a (.f64 b 3)))
	20.6b	(-.f64 (.f64 (sqrt.f64 x) (fma.f64 2 (cos.f64 y) (.f64 (.f64 z (sin.f64 y)) (.f64 t 2/3)))) (/.f64 a (*.f64 b 3)))
	14.5b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)) (/.f64 (.f64 a -1/3) b))
	18.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (pow.f64 (.f64 3 (/.f64 b a)) -1))
▶	52.9b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (exp.f64 (log.f64 (.f64 t -1/3))) y))) (/.f64 (*.f64 a -1/3) b))
▶	28.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 1/3 t)))) (/.f64 a (*.f64 b 3)))
▶	18.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (/.f64 (/.f64 3 z) t) -1)))) (/.f64 a (*.f64 b 3)))
	18.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2) (cbrt.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (.f64 b 3)))
	39.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (/.f64 1/3 b))))
	24.7b	(-.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) 2) (.f64 x 4))) (/.f64 a (.f64 b 3)))
	28.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z))))) (/.f64 a (*.f64 b 3)))
	30.7b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (/.f64 (expm1.f64 (log1p.f64 (*.f64 -1/3 a))) b))
	18.4b	(fma.f64 (sqrt.f64 x) (.f64 2 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))))) (/.f64 (.f64 a -1/3) b))
	36.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (exp.f64 (log.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
	18.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (cbrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
	19.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 a 3) b)) 3))
	19.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (/.f64 1/3 b))))
	18.9b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x)))) 3) (/.f64 a (.f64 b 3)))
▶	18.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))))) (/.f64 a (.f64 b 3)))
	18.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))))) (/.f64 a (*.f64 b 3)))
	19.0b	(fma.f64 (sqrt.f64 x) (.f64 2 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))))) (/.f64 (.f64 a -1/3) b))
	20.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 t (.f64 z (.f64 1/3 (sin.f64 y))) (cos.f64 y))) (/.f64 a (*.f64 b 3)))
	18.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 1 b) (/.f64 a 3)))
	19.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 a 3) b)) 2) (cbrt.f64 (/.f64 (/.f64 a 3) b))))
	20.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))))) (/.f64 a (.f64 b 3)))
	18.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 3)))) (/.f64 a (*.f64 b 3)))
	37.7b	(-.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))) 3) 1/3) (/.f64 a (.f64 b 3)))
	37.4b	(fma.f64 (sqrt.f64 x) (.f64 2 (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 z (.f64 t -1/3) y)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 z (.f64 t -1/3) y)))) (sin.f64 1)))) (/.f64 (.f64 a -1/3) b))
▶	14.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
	24.6b	(-.f64 (expm1.f64 (log1p.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))))) (/.f64 a (.f64 b 3)))
	18.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) 3))) (/.f64 a (.f64 b 3)))
	18.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3))))) (/.f64 a (*.f64 b 3)))
	18.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 (/.f64 a 3) b) 1))
	18.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))))) (/.f64 a (.f64 b 3)))
	40.9b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 -1/3 (/.f64 a b)))) 1/3)))
	18.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 a b) 1/3))
	24.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (cbrt.f64 (.f64 (pow.f64 (.f64 z t) 3) 1/27))))) (/.f64 a (*.f64 b 3)))
	18.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 z 3) t)))) (/.f64 a (.f64 b 3)))

Compiler

Compiled 2732 to 2084 computations (23.7% saved)

localize24.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
✓	0.2b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
	0.2b	(/.f64 a (*.f64 b 3))

Compiler

Compiled 48 to 27 computations (43.8% saved)

series12.0ms (0%)

Counts

2 → 49

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
1.0ms	x	@	0	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
1.0ms	x	@	-inf	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
1.0ms	a	@	0	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
1.0ms	y	@	0	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))

rewrite108.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

766×	`log-prod_binary64`
386×	`pow2_binary64`
344×	`fma-def_binary64`
267×	`pow1/3_binary64`
266×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	31
1	299	31
2	3957	31

Stop Event

1×	node limit

Counts

2 → 146

Calls

Call 1

Inputs
(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))

Outputs

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b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 y) (cbrt.f64 (*.f64 x 4))) (cbrt.f64 (*.f64 2 (sqrt.f64 x))) (*.f64 a (neg.f64 (/.f64 1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 y) (cbrt.f64 (*.f64 x 4))) (cbrt.f64 (*.f64 2 (sqrt.f64 x))) (*.f64 (*.f64 a (neg.f64 (/.f64 1/3 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 (*.f64 2 (sqrt.f64 x)))) (sqrt.f64 (*.f64 2 (sqrt.f64 x))) (*.f64 a (neg.f64 (/.f64 1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 (*.f64 2 (sqrt.f64 x)))) (sqrt.f64 (*.f64 2 (sqrt.f64 x))) (*.f64 (*.f64 a (neg.f64 (/.f64 1/3 b))) 1))))))

simplify61.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

917×	`fma-def_binary64`
490×	`distribute-rgt-neg-in_binary64`
448×	`distribute-lft-neg-in_binary64`
372×	`associate-l_binary64`
321×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	845
1	106	817
2	285	775
3	950	771
4	4128	771

Stop Event

1×	node limit

Counts

195 → 167

Calls

Call 1

Inputs
(*.f64 2 (sqrt.f64 x))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/12 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x))))
(+.f64 (.f64 -1/360 (.f64 (pow.f64 y 6) (sqrt.f64 x))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/12 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(*.f64 -1/3 (/.f64 a b))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
(-.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x))) (.f64 1/3 (/.f64 a b)))
(-.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/12 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x)))) (.f64 1/3 (/.f64 a b)))
(-.f64 (+.f64 (.f64 -1/360 (.f64 (pow.f64 y 6) (sqrt.f64 x))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/12 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x))))) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(*.f64 -1/3 (/.f64 a b))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(*.f64 -1/3 (/.f64 a b))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(*.f64 -1/3 (/.f64 a b))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))

Outputs
(*.f64 2 (sqrt.f64 x))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))
(fma.f64 -1 (.f64 (sqrt.f64 x) (.f64 y y)) (*.f64 2 (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (+.f64 2 (neg.f64 (.f64 y y))))
(.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/12 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x))))
(fma.f64 -1 (.f64 (sqrt.f64 x) (.f64 y y)) (fma.f64 1/12 (.f64 (sqrt.f64 x) (pow.f64 y 4)) (.f64 2 (sqrt.f64 x))))
(-.f64 (.f64 (sqrt.f64 x) (+.f64 2 (.f64 1/12 (pow.f64 y 4)))) (.f64 (sqrt.f64 x) (.f64 y y)))
(.f64 (sqrt.f64 x) (-.f64 (fma.f64 1/12 (pow.f64 y 4) 2) (.f64 y y)))
(.f64 (sqrt.f64 x) (fma.f64 1/12 (pow.f64 y 4) (-.f64 2 (.f64 y y))))
(+.f64 (.f64 -1/360 (.f64 (pow.f64 y 6) (sqrt.f64 x))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/12 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))))
(fma.f64 -1/360 (.f64 (sqrt.f64 x) (pow.f64 y 6)) (fma.f64 -1 (.f64 (sqrt.f64 x) (.f64 y y)) (fma.f64 1/12 (.f64 (sqrt.f64 x) (pow.f64 y 4)) (*.f64 2 (sqrt.f64 x)))))
(+.f64 (.f64 (sqrt.f64 x) (+.f64 2 (.f64 1/12 (pow.f64 y 4)))) (.f64 (sqrt.f64 x) (+.f64 (.f64 -1/360 (pow.f64 y 6)) (neg.f64 (*.f64 y y)))))
(.f64 (sqrt.f64 x) (+.f64 (fma.f64 1/12 (pow.f64 y 4) 2) (-.f64 (.f64 -1/360 (pow.f64 y 6)) (*.f64 y y))))
(.f64 (sqrt.f64 x) (-.f64 (fma.f64 -1/360 (pow.f64 y 6) (fma.f64 1/12 (pow.f64 y 4) 2)) (.f64 y y)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))
(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))
(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))
(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))
(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))
(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))
(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))
(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))
(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
(*.f64 -1/3 (/.f64 a b))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (sqrt.f64 x) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 2 (sqrt.f64 x)))
(-.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x))) (.f64 1/3 (/.f64 a b)))
(+.f64 (fma.f64 -1 (.f64 (sqrt.f64 x) (.f64 y y)) (.f64 2 (sqrt.f64 x))) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 (sqrt.f64 x) (+.f64 2 (neg.f64 (.f64 y y)))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y)) (.f64 -1/3 (/.f64 a b)))
(-.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/12 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x)))) (.f64 1/3 (/.f64 a b)))
(+.f64 (fma.f64 -1 (.f64 (sqrt.f64 x) (.f64 y y)) (fma.f64 1/12 (.f64 (sqrt.f64 x) (pow.f64 y 4)) (.f64 2 (sqrt.f64 x)))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (-.f64 (.f64 (sqrt.f64 x) (+.f64 2 (.f64 1/12 (pow.f64 y 4)))) (.f64 (sqrt.f64 x) (.f64 y y))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (.f64 (sqrt.f64 x) (-.f64 (fma.f64 1/12 (pow.f64 y 4) 2) (.f64 y y))))
(fma.f64 (sqrt.f64 x) (-.f64 (fma.f64 1/12 (pow.f64 y 4) 2) (.f64 y y)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 (sqrt.f64 x) (fma.f64 1/12 (pow.f64 y 4) (-.f64 2 (.f64 y y))) (.f64 -1/3 (/.f64 a b)))
(-.f64 (+.f64 (.f64 -1/360 (.f64 (pow.f64 y 6) (sqrt.f64 x))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/12 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x))))) (.f64 1/3 (/.f64 a b)))
(+.f64 (fma.f64 -1/360 (.f64 (sqrt.f64 x) (pow.f64 y 6)) (fma.f64 -1 (.f64 (sqrt.f64 x) (.f64 y y)) (fma.f64 1/12 (.f64 (sqrt.f64 x) (pow.f64 y 4)) (.f64 2 (sqrt.f64 x))))) (.f64 -1/3 (/.f64 a b)))
(+.f64 (+.f64 (.f64 (sqrt.f64 x) (+.f64 2 (.f64 1/12 (pow.f64 y 4)))) (.f64 (sqrt.f64 x) (+.f64 (.f64 -1/360 (pow.f64 y 6)) (neg.f64 (.f64 y y))))) (.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (.f64 (sqrt.f64 x) (+.f64 (fma.f64 1/12 (pow.f64 y 4) 2) (-.f64 (.f64 -1/360 (pow.f64 y 6)) (*.f64 y y)))))
(fma.f64 (sqrt.f64 x) (-.f64 (fma.f64 -1/360 (pow.f64 y 6) (fma.f64 1/12 (pow.f64 y 4) 2)) (.f64 y y)) (.f64 -1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))
(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(*.f64 -1/3 (/.f64 a b))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(*.f64 -1/3 (/.f64 a b))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(*.f64 -1/3 (/.f64 a b))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))
(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))
(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))

localize139.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 z (.f64 1/3 t))
	0.2b	(/.f64 a (*.f64 b 3))
✓	0.3b	(*.f64 1/3 t)
✓	26.2b	(cos.f64 (.f64 z (.f64 1/3 t)))

Compiler

Compiled 70 to 44 computations (37.1% saved)

series6.0ms (0%)

Counts

3 → 48

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	z	@	-inf	(.f64 z (.f64 1/3 t))
1.0ms	z	@	0	(cos.f64 (.f64 z (.f64 1/3 t)))
0.0ms	t	@	0	(cos.f64 (.f64 z (.f64 1/3 t)))
0.0ms	t	@	0	(*.f64 1/3 t)
0.0ms	t	@	inf	(cos.f64 (.f64 z (.f64 1/3 t)))

rewrite58.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

650×	`pow1_binary64`
597×	`add-log-exp_binary64`
597×	`log1p-expm1-u_binary64`
597×	`expm1-log1p-u_binary64`
585×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	140	20
2	1617	20

Stop Event

1×	node limit

Counts

3 → 38

Calls

Call 1

Inputs
(cos.f64 (.f64 z (.f64 1/3 t)))
(*.f64 1/3 t)
(.f64 z (.f64 1/3 t))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cos.f64 (*.f64 z (*.f64 1/3 t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 z (*.f64 1/3 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (*.f64 z (*.f64 1/3 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (*.f64 z (*.f64 1/3 t)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 z (*.f64 1/3 t)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 z (*.f64 1/3 t)))) 2) (cbrt.f64 (cos.f64 (*.f64 z (*.f64 1/3 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (*.f64 z (*.f64 1/3 t)))) (sqrt.f64 (cos.f64 (*.f64 z (*.f64 1/3 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 z (*.f64 1/3 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (*.f64 z (*.f64 1/3 t))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (*.f64 z (*.f64 1/3 t)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (*.f64 z (*.f64 1/3 t)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (*.f64 z (*.f64 1/3 t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (*.f64 z (*.f64 1/3 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (*.f64 z (*.f64 1/3 t))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (*.f64 z (*.f64 1/3 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (*.f64 z (*.f64 1/3 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (*.f64 z (*.f64 1/3 t)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/3 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/3 t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) t))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 t)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 t)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 z (*.f64 1/3 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (*.f64 1/3 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (*.f64 1/3 t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (*.f64 1/3 t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (*.f64 1/3 t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (*.f64 1/3 t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (*.f64 1/3 t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (*.f64 1/3 t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (*.f64 1/3 t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (*.f64 1/3 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (*.f64 1/3 t))))))))

simplify263.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1130×	`sqr-pow_binary64`
989×	`fma-def_binary64`
598×	`pow-sqr_binary64`
481×	`cube-prod_binary64`
429×	`fabs-mul_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	32	488
1	79	484
2	209	480
3	874	476
4	2172	464
5	2681	458
6	2992	440
7	3217	440
8	3461	440
9	3781	440
10	4209	440
11	4733	440
12	5366	440
13	5628	440
14	5846	440
15	6014	440
16	6156	440
17	6270	440
18	7055	440
19	7923	440

Stop Event

1×	node limit

Counts

86 → 49

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2)))))
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 1/3 (.f64 t z)))
1
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2)))))
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))

Outputs
1
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 1 (.f64 -1/18 (.f64 (.f64 t t) (.f64 z z))))
(fma.f64 -1/18 (.f64 (.f64 t t) (*.f64 z z)) 1)
(fma.f64 -1/18 (.f64 t (.f64 t (*.f64 z z))) 1)
(fma.f64 (.f64 (.f64 t t) z) (*.f64 -1/18 z) 1)
(fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1)
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2)))))
(+.f64 1 (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (.f64 -1/18 (.f64 (.f64 t t) (*.f64 z z)))))
(+.f64 1 (fma.f64 -1/18 (.f64 (.f64 t t) (.f64 z z)) (.f64 1/1944 (*.f64 (pow.f64 t 4) (pow.f64 z 4)))))
(fma.f64 (pow.f64 t 4) (.f64 1/1944 (pow.f64 z 4)) (fma.f64 -1/18 (.f64 t (.f64 t (.f64 z z))) 1))
(fma.f64 (pow.f64 t 4) (.f64 1/1944 (pow.f64 z 4)) (fma.f64 (.f64 (.f64 t t) z) (.f64 -1/18 z) 1))
(fma.f64 -1/18 (.f64 t (.f64 t (.f64 z z))) (fma.f64 1/1944 (pow.f64 (.f64 t z) 4) 1))
(fma.f64 -1/18 (pow.f64 (.f64 t z) 2) (fma.f64 1/1944 (pow.f64 (.f64 t z) 4) 1))
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(+.f64 1 (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (fma.f64 -1/18 (.f64 (.f64 t t) (.f64 z z)) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(+.f64 1 (fma.f64 -1/18 (.f64 t (.f64 t (.f64 z z))) (fma.f64 (pow.f64 t 4) (.f64 1/1944 (pow.f64 z 4)) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(fma.f64 (.f64 z z) (fma.f64 (.f64 z z) (.f64 1/1944 (pow.f64 t 4)) (.f64 -1/18 (.f64 t t))) (fma.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6)) 1))
(fma.f64 1/1944 (pow.f64 (.f64 t z) 4) (fma.f64 t (.f64 (.f64 z z) (.f64 -1/18 t)) (fma.f64 -1/524880 (*.f64 (pow.f64 t 6) (pow.f64 z 6)) 1)))
(fma.f64 1/1944 (pow.f64 (.f64 t z) 4) (fma.f64 t (.f64 (.f64 z z) (.f64 -1/18 t)) (fma.f64 -1/524880 (pow.f64 (*.f64 t z) 6) 1)))
(fma.f64 (pow.f64 (.f64 t z) 2) (fma.f64 (pow.f64 (.f64 t z) 2) 1/1944 -1/18) (fma.f64 -1/524880 (pow.f64 (*.f64 t z) 6) 1))
(fma.f64 -1/18 (pow.f64 (.f64 t z) 2) (fma.f64 1/1944 (pow.f64 (.f64 t z) 4) (fma.f64 -1/524880 (pow.f64 (*.f64 t z) 6) 1)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z 1/3)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z 1/3)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z 1/3)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z 1/3)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z 1/3)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z 1/3)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z 1/3)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z 1/3)))
1
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 1 (.f64 -1/18 (.f64 (.f64 t t) (.f64 z z))))
(fma.f64 -1/18 (.f64 (.f64 t t) (*.f64 z z)) 1)
(fma.f64 -1/18 (.f64 t (.f64 t (*.f64 z z))) 1)
(fma.f64 (.f64 (.f64 t t) z) (*.f64 -1/18 z) 1)
(fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1)
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2)))))
(+.f64 1 (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (.f64 -1/18 (.f64 (.f64 t t) (*.f64 z z)))))
(+.f64 1 (fma.f64 -1/18 (.f64 (.f64 t t) (.f64 z z)) (.f64 1/1944 (*.f64 (pow.f64 t 4) (pow.f64 z 4)))))
(fma.f64 (pow.f64 t 4) (.f64 1/1944 (pow.f64 z 4)) (fma.f64 -1/18 (.f64 t (.f64 t (.f64 z z))) 1))
(fma.f64 (pow.f64 t 4) (.f64 1/1944 (pow.f64 z 4)) (fma.f64 (.f64 (.f64 t t) z) (.f64 -1/18 z) 1))
(fma.f64 -1/18 (.f64 t (.f64 t (.f64 z z))) (fma.f64 1/1944 (pow.f64 (.f64 t z) 4) 1))
(fma.f64 -1/18 (pow.f64 (.f64 t z) 2) (fma.f64 1/1944 (pow.f64 (.f64 t z) 4) 1))
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(+.f64 1 (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (fma.f64 -1/18 (.f64 (.f64 t t) (.f64 z z)) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(+.f64 1 (fma.f64 -1/18 (.f64 t (.f64 t (.f64 z z))) (fma.f64 (pow.f64 t 4) (.f64 1/1944 (pow.f64 z 4)) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(fma.f64 (.f64 z z) (fma.f64 (.f64 z z) (.f64 1/1944 (pow.f64 t 4)) (.f64 -1/18 (.f64 t t))) (fma.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6)) 1))
(fma.f64 1/1944 (pow.f64 (.f64 t z) 4) (fma.f64 t (.f64 (.f64 z z) (.f64 -1/18 t)) (fma.f64 -1/524880 (*.f64 (pow.f64 t 6) (pow.f64 z 6)) 1)))
(fma.f64 1/1944 (pow.f64 (.f64 t z) 4) (fma.f64 t (.f64 (.f64 z z) (.f64 -1/18 t)) (fma.f64 -1/524880 (pow.f64 (*.f64 t z) 6) 1)))
(fma.f64 (pow.f64 (.f64 t z) 2) (fma.f64 (pow.f64 (.f64 t z) 2) 1/1944 -1/18) (fma.f64 -1/524880 (pow.f64 (*.f64 t z) 6) 1))
(fma.f64 -1/18 (pow.f64 (.f64 t z) 2) (fma.f64 1/1944 (pow.f64 (.f64 t z) 4) (fma.f64 -1/524880 (pow.f64 (*.f64 t z) 6) 1)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z 1/3)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z 1/3)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z 1/3)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z 1/3)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z 1/3)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z 1/3)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z 1/3)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z 1/3)))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 z 1/3))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 z 1/3))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 z 1/3))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 z 1/3))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 z 1/3))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 z 1/3))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 z 1/3))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 z 1/3))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 z 1/3))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 z 1/3))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 z 1/3))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 z 1/3))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 z 1/3))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 z 1/3))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 z 1/3))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 z 1/3))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 z 1/3))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 z 1/3))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 z 1/3))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 z 1/3))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 z 1/3))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 z 1/3))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 z 1/3))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 z 1/3))

localize70.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 a (*.f64 b 3))
✓	0.2b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (/.f64 (/.f64 3 z) t) -1))))
✓	0.5b	(pow.f64 (/.f64 (/.f64 3 z) t) -1)
✓	22.5b	(cos.f64 (-.f64 y (pow.f64 (/.f64 (/.f64 3 z) t) -1)))

Compiler

Compiled 99 to 64 computations (35.4% saved)

series34.0ms (0.1%)

Counts

3 → 96

Calls

27 calls:

Time	Variable		Point	Expression
16.0ms	t	@	-inf	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (/.f64 (/.f64 3 z) t) -1))))
1.0ms	t	@	-inf	(cos.f64 (-.f64 y (pow.f64 (/.f64 (/.f64 3 z) t) -1)))
1.0ms	t	@	inf	(pow.f64 (/.f64 (/.f64 3 z) t) -1)
1.0ms	z	@	inf	(pow.f64 (/.f64 (/.f64 3 z) t) -1)
1.0ms	y	@	-inf	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (/.f64 (/.f64 3 z) t) -1))))

rewrite114.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

598×	`prod-diff_binary64`
311×	`expm1-udef_binary64`
311×	`log1p-udef_binary64`
269×	`fma-def_binary64`
260×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	48
1	353	39
2	4638	39

Stop Event

1×	node limit

Counts

3 → 115

Calls

Call 1

Inputs
(cos.f64 (-.f64 y (pow.f64 (/.f64 (/.f64 3 z) t) -1)))
(pow.f64 (/.f64 (/.f64 3 z) t) -1)
(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (/.f64 (/.f64 3 z) t) -1))))

Outputs

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(sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 y 3) (fma.f64 (*.f64 (/.f64 t 3) z) (fma.f64 t (*.f64 z 1/3) y) (*.f64 y y)))) (cos.f64 (/.f64 (pow.f64 (*.f64 (/.f64 t 3) z) 3) (fma.f64 (*.f64 (/.f64 t 3) z) (fma.f64 t (*.f64 z 1/3) y) (*.f64 y y))))) (*.f64 (sin.f64 (/.f64 (pow.f64 y 3) (fma.f64 (*.f64 (/.f64 t 3) z) (fma.f64 t (*.f64 z 1/3) y) (*.f64 y y)))) (sin.f64 (/.f64 (pow.f64 (*.f64 (/.f64 t 3) z) 3) (fma.f64 (*.f64 (/.f64 t 3) z) (fma.f64 t (*.f64 z 1/3) y) (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (/.f64 (*.f64 y y) (fma.f64 t (*.f64 z 1/3) y))) (cos.f64 (/.f64 (pow.f64 (*.f64 (/.f64 t 3) z) 2) (fma.f64 t (*.f64 z 1/3) y)))) (*.f64 (sin.f64 (/.f64 (*.f64 y y) (fma.f64 t (*.f64 z 1/3) y))) (sin.f64 (/.f64 (pow.f64 (*.f64 (/.f64 t 3) z) 2) (fma.f64 t (*.f64 z 1/3) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 (/.f64 t 3) z))) (*.f64 (sin.f64 y) 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(cbrt.f64 (cos.f64 (-.f64 y (*.f64 (/.f64 t 3) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (-.f64 y (*.f64 (/.f64 t 3) z)))) (sqrt.f64 (cos.f64 (-.f64 y (*.f64 (/.f64 t 3) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 (/.f64 t 3) z))) 3) (pow.f64 (*.f64 (sin.f64 y) (sin.f64 (*.f64 (/.f64 t 3) z))) 3)) (fma.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 (/.f64 t 3) z))) (*.f64 (cos.f64 y) (cos.f64 (*.f64 (/.f64 t 3) z))) (-.f64 (*.f64 (*.f64 (sin.f64 y) (sin.f64 (*.f64 (/.f64 t 3) z))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 (/.f64 t 3) z)))) (*.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 (/.f64 t 3) z))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 (/.f64 t 3) z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 (/.f64 t 3) z))) (*.f64 (cos.f64 y) (cos.f64 (*.f64 (/.f64 t 3) z)))) (*.f64 (*.f64 (sin.f64 y) (sin.f64 (*.f64 (/.f64 t 3) z))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 (/.f64 t 3) z))))) (cos.f64 (fma.f64 t (*.f64 z 1/3) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (-.f64 y (*.f64 (/.f64 t 3) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (-.f64 y (*.f64 (/.f64 t 3) z))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (-.f64 y (*.f64 (/.f64 t 3) z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (-.f64 y (*.f64 (/.f64 t 3) z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (-.f64 y (*.f64 (/.f64 t 3) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (-.f64 y (*.f64 (/.f64 t 3) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 (-.f64 y (*.f64 (/.f64 t 3) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (sin.f64 y) (sin.f64 (*.f64 (/.f64 t 3) z)))) (exp.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 (/.f64 t 3) z))))))))) 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z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 y) (cos.f64 (*.f64 (/.f64 t 3) z)) (neg.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 (*.f64 (/.f64 t 3) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 (*.f64 (/.f64 t 3) z)) (cos.f64 y) (*.f64 (sin.f64 y) (sin.f64 (*.f64 (/.f64 t 3) z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 (/.f64 t 3) z))) 1 (*.f64 (*.f64 (sin.f64 y) (sin.f64 (*.f64 (/.f64 t 3) z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 y) (sin.f64 (*.f64 (/.f64 t 3) z)) (*.f64 (cos.f64 y) (cos.f64 (*.f64 (/.f64 t 3) z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 (*.f64 (/.f64 t 3) z)) (sin.f64 y) (*.f64 (cos.f64 y) (cos.f64 (*.f64 (/.f64 t 3) z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 (/.f64 t 3) z)))) (cbrt.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 (/.f64 t 3) z))))) (cbrt.f64 (*.f64 (cos.f64 y) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 t 3) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 t (*.f64 z 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 t 3) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 t 3) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 t 3) z)) (cbrt.f64 (pow.f64 (*.f64 (/.f64 t 3) z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 t 3) z) 2)) (cbrt.f64 (*.f64 (/.f64 t 3) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z 1/3) t)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 t 3) z)) (sqrt.f64 (*.f64 (/.f64 t 3) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 z t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 t (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 3 z) -1) (pow.f64 (/.f64 1 t) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 3 (*.f64 z t))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 3 (*.f64 z t))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 3 (*.f64 z t))) -1) (pow.f64 (sqrt.f64 (/.f64 3 (*.f64 z t))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 t t)) 3) (/.f64 (cbrt.f64 t) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 t) 3) (/.f64 (sqrt.f64 t) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 t t)) 1) (/.f64 (cbrt.f64 t) (/.f64 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 t) 1) (/.f64 (sqrt.f64 t) (/.f64 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 3 z)) 2)) (/.f64 t (cbrt.f64 (/.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 t t)) (pow.f64 (cbrt.f64 (/.f64 3 z)) 2)) (/.f64 (cbrt.f64 t) (cbrt.f64 (/.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 t) (pow.f64 (cbrt.f64 (/.f64 3 z)) 2)) (/.f64 (sqrt.f64 t) (cbrt.f64 (/.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 3 z))) (/.f64 t (sqrt.f64 (/.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 t t)) (sqrt.f64 (/.f64 3 z))) (/.f64 (cbrt.f64 t) (sqrt.f64 (/.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 t) (sqrt.f64 (/.f64 3 z))) (/.f64 (sqrt.f64 t) (sqrt.f64 (/.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 t 1) (*.f64 z 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 t 3) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 t -3) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 -3 z)) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 t (/.f64 3 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 3 (*.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 3 (*.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 3 (*.f64 z t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 t t)) (/.f64 (/.f64 3 z) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 t) (/.f64 (/.f64 3 z) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 t) (/.f64 -3 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z 1/3) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (/.f64 t 3) z)) (sqrt.f64 (/.f64 3 (*.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 t (sqrt.f64 (/.f64 3 z))) (sqrt.f64 (/.f64 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 t 1) (/.f64 3 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 t 3) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 t (pow.f64 (cbrt.f64 (/.f64 3 z)) 2)) (cbrt.f64 (/.f64 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 3 (*.f64 z t))) 2)) (cbrt.f64 (/.f64 3 (*.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 t 3) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 t 3) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 t 3) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 t 3) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 t 3) (pow.f64 (/.f64 3 z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 t 3) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 t 3) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 t 3) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 t 3) z)) 1))))))

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simplify118.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

715×	`associate-r_binary64`
693×	`associate-l_binary64`
635×	`fma-def_binary64`
394×	`distribute-rgt-neg-out_binary64`
359×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	98	1958
1	305	1755
2	978	1545
3	4646	1539

Stop Event

1×	node limit

Counts

211 → 156

Calls

Call 1

Inputs
(cos.f64 (neg.f64 (.f64 1/3 (.f64 t z))))
(+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) y)) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) y)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z))))))
(+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) y)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))) (+.f64 (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) (.f64 1/6 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) (pow.f64 y 3))))))
(cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1)))
(cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1)))
(cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1)))
(cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1)))
(cos.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 3 (.f64 t z)) -1) (.f64 -1 y))))
(cos.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 3 (.f64 t z)) -1) (.f64 -1 y))))
(cos.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 3 (.f64 t z)) -1) (.f64 -1 y))))
(cos.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 3 (.f64 t z)) -1) (.f64 -1 y))))
(cos.f64 y)
(+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))
(+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))))
(+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y)))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1)))
(cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1)))
(cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1)))
(cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1)))
(cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1)))
(cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1)))
(cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1)))
(cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1)))
(cos.f64 y)
(+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (+.f64 (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (pow.f64 z 2) (cos.f64 y))))))
(+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y)))) (+.f64 (cos.f64 y) (+.f64 (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 -1/18 (.f64 (pow.f64 t 2) (*.f64 (pow.f64 z 2) (cos.f64 y)))))))
(cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1)))
(cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1)))
(cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1)))
(cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1)))
(cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1)))
(cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1)))
(cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1)))
(cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1)))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 2 (.f64 (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) (sqrt.f64 x)))
(+.f64 (.f64 2 (.f64 (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) (sqrt.f64 x))) (.f64 -2 (.f64 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y) (sqrt.f64 x))))
(+.f64 (.f64 -1 (.f64 (.f64 (pow.f64 y 2) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z))))) (sqrt.f64 x))) (+.f64 (.f64 2 (.f64 (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) (sqrt.f64 x))) (.f64 -2 (.f64 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) y) (sqrt.f64 x)))))
(+.f64 (.f64 -1 (.f64 (.f64 (pow.f64 y 2) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z))))) (sqrt.f64 x))) (+.f64 (.f64 2 (.f64 (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) (sqrt.f64 x))) (+.f64 (.f64 -2 (.f64 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) y) (sqrt.f64 x))) (.f64 1/3 (.f64 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) (pow.f64 y 3)) (sqrt.f64 x))))))
(.f64 2 (.f64 (cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 3 (.f64 t z)) -1) (.f64 -1 y))))))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 3 (.f64 t z)) -1) (.f64 -1 y))))))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 3 (.f64 t z)) -1) (.f64 -1 y))))))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 3 (.f64 t z)) -1) (.f64 -1 y))))))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))))
(+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (.f64 (pow.f64 z 2) (cos.f64 y))) (sqrt.f64 x)))))
(+.f64 (.f64 -1/81 (.f64 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y))) (sqrt.f64 x))) (+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (.f64 (pow.f64 z 2) (cos.f64 y))) (sqrt.f64 x))))))
(.f64 2 (.f64 (cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))))
(+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (.f64 (pow.f64 z 2) (cos.f64 y))) (sqrt.f64 x)))))
(+.f64 (.f64 -1/81 (.f64 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y))) (sqrt.f64 x))) (+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (.f64 (pow.f64 z 2) (cos.f64 y))) (sqrt.f64 x))))))
(.f64 2 (.f64 (cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1))) (sqrt.f64 x)))

Outputs
(cos.f64 (neg.f64 (.f64 1/3 (.f64 t z))))
(cos.f64 (.f64 (.f64 1/3 t) z))
(cos.f64 (.f64 1/3 (.f64 t z)))
(+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) y)) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))
(fma.f64 -1 (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) y) (cos.f64 (.f64 (*.f64 1/3 t) z)))
(-.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (.f64 (sin.f64 (.f64 (*.f64 t z) -1/3)) y))
(fma.f64 y (sin.f64 (.f64 1/3 (.f64 t z))) (cos.f64 (.f64 1/3 (.f64 t z))))
(+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) y)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z))))))
(fma.f64 -1 (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) y) (fma.f64 -1/2 (.f64 (cos.f64 (.f64 (.f64 1/3 t) z)) (.f64 y y)) (cos.f64 (.f64 (*.f64 1/3 t) z))))
(-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 y y)) 1) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 (sin.f64 (.f64 (.f64 t z) -1/3)) y))
(fma.f64 y (sin.f64 (.f64 1/3 (.f64 t z))) (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (fma.f64 -1/2 (.f64 y y) 1)))
(fma.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (fma.f64 (.f64 y -1/2) y 1) (.f64 y (sin.f64 (.f64 1/3 (.f64 t z)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) y)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))) (+.f64 (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) (.f64 1/6 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) (pow.f64 y 3))))))
(fma.f64 -1 (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) y) (+.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 (.f64 1/3 t) z)) (.f64 y y)) (cos.f64 (.f64 (.f64 1/3 t) z))) (.f64 1/6 (.f64 (sin.f64 (.f64 -1/3 (*.f64 t z))) (pow.f64 y 3)))))
(+.f64 (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 y y)) 1) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 (sin.f64 (.f64 (.f64 t z) -1/3)) y)) (.f64 1/6 (.f64 (sin.f64 (.f64 (.f64 t z) -1/3)) (pow.f64 y 3))))
(fma.f64 (fma.f64 -1/2 (.f64 y y) 1) (cos.f64 (.f64 1/3 (.f64 t z))) (.f64 (sin.f64 (.f64 z (.f64 t -1/3))) (+.f64 (*.f64 1/6 (pow.f64 y 3)) (neg.f64 y))))
(fma.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (fma.f64 (.f64 y -1/2) y 1) (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (-.f64 (*.f64 1/6 (pow.f64 y 3)) y)))
(cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1)))
(cos.f64 (-.f64 y (/.f64 1 (/.f64 3 (*.f64 t z)))))
(cos.f64 (-.f64 (.f64 1/3 (.f64 t z)) y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1)))
(cos.f64 (-.f64 y (/.f64 1 (/.f64 3 (*.f64 t z)))))
(cos.f64 (-.f64 (.f64 1/3 (.f64 t z)) y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1)))
(cos.f64 (-.f64 y (/.f64 1 (/.f64 3 (*.f64 t z)))))
(cos.f64 (-.f64 (.f64 1/3 (.f64 t z)) y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1)))
(cos.f64 (-.f64 y (/.f64 1 (/.f64 3 (*.f64 t z)))))
(cos.f64 (-.f64 (.f64 1/3 (.f64 t z)) y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 3 (.f64 t z)) -1) (.f64 -1 y))))
(cos.f64 (-.f64 y (/.f64 1 (/.f64 3 (*.f64 t z)))))
(cos.f64 (-.f64 (.f64 1/3 (.f64 t z)) y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 3 (.f64 t z)) -1) (.f64 -1 y))))
(cos.f64 (-.f64 y (/.f64 1 (/.f64 3 (*.f64 t z)))))
(cos.f64 (-.f64 (.f64 1/3 (.f64 t z)) y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 3 (.f64 t z)) -1) (.f64 -1 y))))
(cos.f64 (-.f64 y (/.f64 1 (/.f64 3 (*.f64 t z)))))
(cos.f64 (-.f64 (.f64 1/3 (.f64 t z)) y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 3 (.f64 t z)) -1) (.f64 -1 y))))
(cos.f64 (-.f64 y (/.f64 1 (/.f64 3 (*.f64 t z)))))
(cos.f64 (-.f64 (.f64 1/3 (.f64 t z)) y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 y)
(+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (.f64 (.f64 1/3 t) (*.f64 z (sin.f64 y))))
(fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (cos.f64 y))
(fma.f64 (.f64 t z) (.f64 1/3 (sin.f64 y)) (cos.f64 y))
(fma.f64 t (.f64 z (.f64 1/3 (sin.f64 y))) (cos.f64 y))
(+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))))
(fma.f64 -1/18 (.f64 (.f64 (.f64 t t) (cos.f64 y)) (.f64 z z)) (+.f64 (cos.f64 y) (.f64 (.f64 1/3 t) (*.f64 z (sin.f64 y)))))
(fma.f64 -1/18 (.f64 (cos.f64 y) (.f64 (.f64 (.f64 t t) z) z)) (fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (cos.f64 y)))
(fma.f64 (.f64 t t) (.f64 (cos.f64 y) (.f64 z (.f64 z -1/18))) (fma.f64 (.f64 t z) (.f64 1/3 (sin.f64 y)) (cos.f64 y)))
(fma.f64 t (.f64 z (.f64 1/3 (sin.f64 y))) (fma.f64 (.f64 (cos.f64 y) (.f64 t (.f64 t -1/18))) (.f64 z z) (cos.f64 y)))
(+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y)))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(fma.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (sin.f64 y) (pow.f64 z 3))) (fma.f64 -1/18 (.f64 (.f64 (.f64 t t) (cos.f64 y)) (.f64 z z)) (+.f64 (cos.f64 y) (.f64 (.f64 1/3 t) (*.f64 z (sin.f64 y))))))
(fma.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (sin.f64 y) (pow.f64 z 3))) (fma.f64 -1/18 (.f64 (cos.f64 y) (.f64 (.f64 (.f64 t t) z) z)) (fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (cos.f64 y))))
(+.f64 (fma.f64 -1/18 (.f64 t (.f64 (.f64 z z) (.f64 t (cos.f64 y)))) (cos.f64 y)) (.f64 (sin.f64 y) (+.f64 (.f64 1/3 (.f64 t z)) (.f64 -1/162 (*.f64 (pow.f64 t 3) (pow.f64 z 3))))))
(+.f64 (fma.f64 (.f64 (cos.f64 y) (.f64 t (.f64 t -1/18))) (.f64 z z) (cos.f64 y)) (.f64 (sin.f64 y) (+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (.f64 1/3 (*.f64 t z)))))
(cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1)))
(cos.f64 (-.f64 y (/.f64 1 (/.f64 3 (*.f64 t z)))))
(cos.f64 (-.f64 (.f64 1/3 (.f64 t z)) y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1)))
(cos.f64 (-.f64 y (/.f64 1 (/.f64 3 (*.f64 t z)))))
(cos.f64 (-.f64 (.f64 1/3 (.f64 t z)) y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1)))
(cos.f64 (-.f64 y (/.f64 1 (/.f64 3 (*.f64 t z)))))
(cos.f64 (-.f64 (.f64 1/3 (.f64 t z)) y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1)))
(cos.f64 (-.f64 y (/.f64 1 (/.f64 3 (*.f64 t z)))))
(cos.f64 (-.f64 (.f64 1/3 (.f64 t z)) y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1)))
(cos.f64 (-.f64 y (/.f64 1 (/.f64 3 (*.f64 t z)))))
(cos.f64 (-.f64 (.f64 1/3 (.f64 t z)) y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1)))
(cos.f64 (-.f64 y (/.f64 1 (/.f64 3 (*.f64 t z)))))
(cos.f64 (-.f64 (.f64 1/3 (.f64 t z)) y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1)))
(cos.f64 (-.f64 y (/.f64 1 (/.f64 3 (*.f64 t z)))))
(cos.f64 (-.f64 (.f64 1/3 (.f64 t z)) y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1)))
(cos.f64 (-.f64 y (/.f64 1 (/.f64 3 (*.f64 t z)))))
(cos.f64 (-.f64 (.f64 1/3 (.f64 t z)) y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 y)
(+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (.f64 (.f64 1/3 t) (*.f64 z (sin.f64 y))))
(fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (cos.f64 y))
(fma.f64 (.f64 t z) (.f64 1/3 (sin.f64 y)) (cos.f64 y))
(fma.f64 t (.f64 z (.f64 1/3 (sin.f64 y))) (cos.f64 y))
(+.f64 (cos.f64 y) (+.f64 (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (pow.f64 z 2) (cos.f64 y))))))
(fma.f64 -1/18 (.f64 (.f64 (.f64 t t) (cos.f64 y)) (.f64 z z)) (+.f64 (cos.f64 y) (.f64 (.f64 1/3 t) (*.f64 z (sin.f64 y)))))
(fma.f64 -1/18 (.f64 (cos.f64 y) (.f64 (.f64 (.f64 t t) z) z)) (fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (cos.f64 y)))
(fma.f64 (.f64 t t) (.f64 (cos.f64 y) (.f64 z (.f64 z -1/18))) (fma.f64 (.f64 t z) (.f64 1/3 (sin.f64 y)) (cos.f64 y)))
(fma.f64 t (.f64 z (.f64 1/3 (sin.f64 y))) (fma.f64 (.f64 (cos.f64 y) (.f64 t (.f64 t -1/18))) (.f64 z z) (cos.f64 y)))
(+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y)))) (+.f64 (cos.f64 y) (+.f64 (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 -1/18 (.f64 (pow.f64 t 2) (*.f64 (pow.f64 z 2) (cos.f64 y)))))))
(fma.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (sin.f64 y) (pow.f64 z 3))) (fma.f64 -1/18 (.f64 (.f64 (.f64 t t) (cos.f64 y)) (.f64 z z)) (+.f64 (cos.f64 y) (.f64 (.f64 1/3 t) (*.f64 z (sin.f64 y))))))
(fma.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (sin.f64 y) (pow.f64 z 3))) (fma.f64 -1/18 (.f64 (cos.f64 y) (.f64 (.f64 (.f64 t t) z) z)) (fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (cos.f64 y))))
(+.f64 (fma.f64 -1/18 (.f64 t (.f64 (.f64 z z) (.f64 t (cos.f64 y)))) (cos.f64 y)) (.f64 (sin.f64 y) (+.f64 (.f64 1/3 (.f64 t z)) (.f64 -1/162 (*.f64 (pow.f64 t 3) (pow.f64 z 3))))))
(+.f64 (fma.f64 (.f64 (cos.f64 y) (.f64 t (.f64 t -1/18))) (.f64 z z) (cos.f64 y)) (.f64 (sin.f64 y) (+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (.f64 1/3 (*.f64 t z)))))
(cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1)))
(cos.f64 (-.f64 y (/.f64 1 (/.f64 3 (*.f64 t z)))))
(cos.f64 (-.f64 (.f64 1/3 (.f64 t z)) y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1)))
(cos.f64 (-.f64 y (/.f64 1 (/.f64 3 (*.f64 t z)))))
(cos.f64 (-.f64 (.f64 1/3 (.f64 t z)) y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1)))
(cos.f64 (-.f64 y (/.f64 1 (/.f64 3 (*.f64 t z)))))
(cos.f64 (-.f64 (.f64 1/3 (.f64 t z)) y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1)))
(cos.f64 (-.f64 y (/.f64 1 (/.f64 3 (*.f64 t z)))))
(cos.f64 (-.f64 (.f64 1/3 (.f64 t z)) y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1)))
(cos.f64 (-.f64 y (/.f64 1 (/.f64 3 (*.f64 t z)))))
(cos.f64 (-.f64 (.f64 1/3 (.f64 t z)) y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1)))
(cos.f64 (-.f64 y (/.f64 1 (/.f64 3 (*.f64 t z)))))
(cos.f64 (-.f64 (.f64 1/3 (.f64 t z)) y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1)))
(cos.f64 (-.f64 y (/.f64 1 (/.f64 3 (*.f64 t z)))))
(cos.f64 (-.f64 (.f64 1/3 (.f64 t z)) y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1)))
(cos.f64 (-.f64 y (/.f64 1 (/.f64 3 (*.f64 t z)))))
(cos.f64 (-.f64 (.f64 1/3 (.f64 t z)) y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(.f64 1/3 (.f64 t z))
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(.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 (.f64 t 2/3) (sin.f64 y)) z) (.f64 (cos.f64 y) (+.f64 2 (.f64 (.f64 -1/9 (.f64 t z)) (*.f64 t z))))))
(+.f64 (.f64 -1/81 (.f64 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y))) (sqrt.f64 x))) (+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (.f64 (pow.f64 z 2) (cos.f64 y))) (sqrt.f64 x))))))
(fma.f64 -1/81 (.f64 (pow.f64 t 3) (.f64 (.f64 (sin.f64 y) (pow.f64 z 3)) (sqrt.f64 x))) (fma.f64 2/3 (.f64 t (.f64 (.f64 z (sin.f64 y)) (sqrt.f64 x))) (fma.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 -1/9 (.f64 (.f64 (.f64 (.f64 t t) (cos.f64 y)) (*.f64 z z)) (sqrt.f64 x))))))
(+.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 2 (cos.f64 y)) (.f64 (.f64 (cos.f64 y) (.f64 (.f64 (.f64 t t) z) z)) -1/9))) (.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 (pow.f64 t 3) (.f64 (sin.f64 y) (pow.f64 z 3))) -1/81) (.f64 (.f64 t (.f64 z (sin.f64 y))) 2/3))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 (cos.f64 y) (+.f64 2 (.f64 -1/9 (.f64 t (.f64 z (.f64 t z)))))) (.f64 (sin.f64 y) (+.f64 (.f64 (.f64 (pow.f64 t 3) -1/81) (pow.f64 z 3)) (.f64 (*.f64 t z) 2/3)))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 (cos.f64 y) (+.f64 2 (.f64 (.f64 -1/9 (.f64 t z)) (.f64 t z)))) (.f64 (sin.f64 y) (+.f64 (.f64 (.f64 (pow.f64 t 3) -1/81) (pow.f64 z 3)) (.f64 (*.f64 t z) 2/3)))))
(.f64 2 (.f64 (cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (/.f64 1 (/.f64 3 (*.f64 t z))))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 (.f64 1/3 (.f64 t z)) y)) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) (sqrt.f64 x)))
(.f64 (cos.f64 (fma.f64 t (.f64 z -1/3) y)) (*.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (/.f64 1 (/.f64 3 (*.f64 t z))))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 (.f64 1/3 (.f64 t z)) y)) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) (sqrt.f64 x)))
(.f64 (cos.f64 (fma.f64 t (.f64 z -1/3) y)) (*.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (/.f64 1 (/.f64 3 (*.f64 t z))))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 (.f64 1/3 (.f64 t z)) y)) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) (sqrt.f64 x)))
(.f64 (cos.f64 (fma.f64 t (.f64 z -1/3) y)) (*.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (/.f64 1 (/.f64 3 (*.f64 t z))))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 (.f64 1/3 (.f64 t z)) y)) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) (sqrt.f64 x)))
(.f64 (cos.f64 (fma.f64 t (.f64 z -1/3) y)) (*.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (/.f64 1 (/.f64 3 (*.f64 t z))))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 (.f64 1/3 (.f64 t z)) y)) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) (sqrt.f64 x)))
(.f64 (cos.f64 (fma.f64 t (.f64 z -1/3) y)) (*.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (/.f64 1 (/.f64 3 (*.f64 t z))))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 (.f64 1/3 (.f64 t z)) y)) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) (sqrt.f64 x)))
(.f64 (cos.f64 (fma.f64 t (.f64 z -1/3) y)) (*.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (/.f64 1 (/.f64 3 (*.f64 t z))))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 (.f64 1/3 (.f64 t z)) y)) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) (sqrt.f64 x)))
(.f64 (cos.f64 (fma.f64 t (.f64 z -1/3) y)) (*.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 t z)) -1))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 y (/.f64 1 (/.f64 3 (*.f64 t z))))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (-.f64 (.f64 1/3 (.f64 t z)) y)) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) (sqrt.f64 x)))
(.f64 (cos.f64 (fma.f64 t (.f64 z -1/3) y)) (*.f64 2 (sqrt.f64 x)))

localize61.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 a (*.f64 b 3))
✓	0.2b	(log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y))))
✓	0.5b	(expm1.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y)))
✓	22.3b	(cos.f64 (fma.f64 (*.f64 z t) -1/3 y))

Compiler

Compiled 96 to 52 computations (45.8% saved)

series16.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(expm1.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y)))
1.0ms	z	@	0	(expm1.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y)))
1.0ms	t	@	0	(expm1.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y)))
1.0ms	y	@	-inf	(expm1.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y)))
1.0ms	y	@	inf	(expm1.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y)))

rewrite130.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

824×	`pow1_binary64`
758×	`expm1-log1p-u_binary64`
757×	`add-log-exp_binary64`
757×	`log1p-expm1-u_binary64`
741×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	180	32
2	2025	32

Stop Event

1×	node limit

Counts

3 → 52

Calls

Call 1

Inputs
(cos.f64 (fma.f64 (*.f64 z t) -1/3 y))
(expm1.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y)))
(log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (*.f64 z (*.f64 t -1/3))) (cos.f64 y)) (*.f64 (sin.f64 (*.f64 z (*.f64 t -1/3))) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y))) 2) (cbrt.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y))) (sqrt.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y)))) (pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y)))) 2) (cbrt.f64 (expm1.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y)))) (sqrt.f64 (expm1.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y))) 3) 1) (+.f64 (*.f64 (exp.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y))) (exp.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y)))) (+.f64 1 (*.f64 (exp.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y))) (exp.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y)))) 1) (+.f64 (exp.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (*.f64 z (*.f64 t -1/3))) (cos.f64 y)) (*.f64 (sin.f64 (*.f64 z (*.f64 t -1/3))) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y))) 2) (cbrt.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y))) (sqrt.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (fma.f64 (*.f64 z t) -1/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y))))))))

simplify238.0ms (1%)

Algorithm

1×	egg-herbie

Rules

566×	`associate--l+_binary64`
550×	`distribute-rgt-in_binary64`
541×	`distribute-lft-in_binary64`
510×	`*-commutative_binary64`
466×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	146	2233
1	453	2133
2	1651	2039
3	4277	1969

Stop Event

1×	node limit

Counts

160 → 76

Calls

Call 1

Inputs
(cos.f64 y)
(+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))
(+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))))
(+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y)))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 y)
(+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (+.f64 (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (pow.f64 z 2) (cos.f64 y))))))
(+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y)))) (+.f64 (cos.f64 y) (+.f64 (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 -1/18 (.f64 (pow.f64 t 2) (*.f64 (pow.f64 z 2) (cos.f64 y)))))))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(+.f64 (.f64 -1 (.f64 y (sin.f64 (.f64 -1/3 (.f64 t z))))) (cos.f64 (.f64 -1/3 (.f64 t z))))
(+.f64 (.f64 -1 (.f64 y (sin.f64 (.f64 -1/3 (.f64 t z))))) (+.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (.f64 -1/2 (.f64 (pow.f64 y 2) (cos.f64 (.f64 -1/3 (.f64 t z)))))))
(+.f64 (.f64 -1 (.f64 y (sin.f64 (.f64 -1/3 (.f64 t z))))) (+.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) (sin.f64 (.f64 -1/3 (.f64 t z))))) (.f64 -1/2 (.f64 (pow.f64 y 2) (cos.f64 (.f64 -1/3 (.f64 t z))))))))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(-.f64 (exp.f64 (cos.f64 y)) 1)
(-.f64 (+.f64 (exp.f64 (cos.f64 y)) (.f64 1/3 (.f64 (exp.f64 (cos.f64 y)) (.f64 t (.f64 z (sin.f64 y)))))) 1)
(-.f64 (+.f64 (exp.f64 (cos.f64 y)) (+.f64 (.f64 1/3 (.f64 (exp.f64 (cos.f64 y)) (.f64 t (.f64 z (sin.f64 y))))) (.f64 (exp.f64 (cos.f64 y)) (.f64 (+.f64 (.f64 1/18 (.f64 (pow.f64 t 2) (pow.f64 (sin.f64 y) 2))) (.f64 -1/18 (.f64 (pow.f64 t 2) (cos.f64 y)))) (pow.f64 z 2))))) 1)
(-.f64 (+.f64 (exp.f64 (cos.f64 y)) (+.f64 (.f64 1/3 (.f64 (exp.f64 (cos.f64 y)) (.f64 t (.f64 z (sin.f64 y))))) (+.f64 (.f64 (exp.f64 (cos.f64 y)) (.f64 (+.f64 (.f64 1/18 (.f64 (pow.f64 t 2) (pow.f64 (sin.f64 y) 2))) (.f64 -1/18 (.f64 (pow.f64 t 2) (cos.f64 y)))) (pow.f64 z 2))) (.f64 (exp.f64 (cos.f64 y)) (.f64 (+.f64 (.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 (sin.f64 y) 3))) (+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (sin.f64 y))) (.f64 -1/54 (.f64 (pow.f64 t 3) (*.f64 (cos.f64 y) (sin.f64 y)))))) (pow.f64 z 3)))))) 1)
(-.f64 (exp.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y))) 1)
(-.f64 (exp.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y))) 1)
(-.f64 (exp.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y))) 1)
(-.f64 (exp.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y))) 1)
(-.f64 (exp.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y))) 1)
(-.f64 (exp.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y))) 1)
(-.f64 (exp.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y))) 1)
(-.f64 (exp.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y))) 1)
(-.f64 (exp.f64 (cos.f64 y)) 1)
(-.f64 (+.f64 (exp.f64 (cos.f64 y)) (.f64 1/3 (.f64 (exp.f64 (cos.f64 y)) (.f64 t (.f64 z (sin.f64 y)))))) 1)
(-.f64 (+.f64 (exp.f64 (cos.f64 y)) (+.f64 (.f64 1/3 (.f64 (exp.f64 (cos.f64 y)) (.f64 t (.f64 z (sin.f64 y))))) (.f64 (exp.f64 (cos.f64 y)) (.f64 (pow.f64 t 2) (+.f64 (.f64 -1/18 (.f64 (pow.f64 z 2) (cos.f64 y))) (.f64 1/18 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))))))) 1)
(-.f64 (+.f64 (.f64 (exp.f64 (cos.f64 y)) (.f64 (pow.f64 t 3) (+.f64 (.f64 -1/162 (.f64 (pow.f64 z 3) (sin.f64 y))) (+.f64 (.f64 -1/54 (.f64 (pow.f64 z 3) (.f64 (cos.f64 y) (sin.f64 y)))) (.f64 1/162 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))))) (+.f64 (exp.f64 (cos.f64 y)) (+.f64 (.f64 1/3 (.f64 (exp.f64 (cos.f64 y)) (.f64 t (.f64 z (sin.f64 y))))) (.f64 (exp.f64 (cos.f64 y)) (.f64 (pow.f64 t 2) (+.f64 (.f64 -1/18 (.f64 (pow.f64 z 2) (cos.f64 y))) (.f64 1/18 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))))))) 1)
(-.f64 (exp.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y))) 1)
(-.f64 (exp.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y))) 1)
(-.f64 (exp.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y))) 1)
(-.f64 (exp.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y))) 1)
(-.f64 (exp.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y))) 1)
(-.f64 (exp.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y))) 1)
(-.f64 (exp.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y))) 1)
(-.f64 (exp.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y))) 1)
(-.f64 (exp.f64 (cos.f64 (.f64 -1/3 (.f64 t z)))) 1)
(-.f64 (+.f64 (exp.f64 (cos.f64 (.f64 -1/3 (.f64 t z)))) (.f64 -1 (.f64 (exp.f64 (cos.f64 (.f64 -1/3 (.f64 t z)))) (.f64 y (sin.f64 (.f64 -1/3 (*.f64 t z))))))) 1)
(-.f64 (+.f64 (exp.f64 (cos.f64 (.f64 -1/3 (.f64 t z)))) (+.f64 (.f64 (exp.f64 (cos.f64 (.f64 -1/3 (.f64 t z)))) (.f64 (+.f64 (.f64 1/2 (pow.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) 2)) (.f64 -1/2 (cos.f64 (.f64 -1/3 (.f64 t z))))) (pow.f64 y 2))) (.f64 -1 (.f64 (exp.f64 (cos.f64 (.f64 -1/3 (.f64 t z)))) (.f64 y (sin.f64 (.f64 -1/3 (*.f64 t z)))))))) 1)
(-.f64 (+.f64 (exp.f64 (cos.f64 (.f64 -1/3 (.f64 t z)))) (+.f64 (.f64 (exp.f64 (cos.f64 (.f64 -1/3 (.f64 t z)))) (.f64 (+.f64 (.f64 1/2 (pow.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) 2)) (.f64 -1/2 (cos.f64 (.f64 -1/3 (.f64 t z))))) (pow.f64 y 2))) (+.f64 (.f64 -1 (.f64 (exp.f64 (cos.f64 (.f64 -1/3 (.f64 t z)))) (.f64 y (sin.f64 (.f64 -1/3 (.f64 t z)))))) (.f64 (exp.f64 (cos.f64 (.f64 -1/3 (.f64 t z)))) (.f64 (+.f64 (.f64 1/6 (sin.f64 (.f64 -1/3 (.f64 t z)))) (+.f64 (.f64 -1/6 (pow.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) 3)) (.f64 1/2 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (sin.f64 (.f64 -1/3 (*.f64 t z))))))) (pow.f64 y 3)))))) 1)
(-.f64 (exp.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y))) 1)
(-.f64 (exp.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y))) 1)
(-.f64 (exp.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y))) 1)
(-.f64 (exp.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y))) 1)
(-.f64 (exp.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y))) 1)
(-.f64 (exp.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y))) 1)
(-.f64 (exp.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y))) 1)
(-.f64 (exp.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y))) 1)
(cos.f64 y)
(+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))
(+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))))
(+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y)))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 y)
(+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (+.f64 (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (pow.f64 z 2) (cos.f64 y))))))
(+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y)))) (+.f64 (cos.f64 y) (+.f64 (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 -1/18 (.f64 (pow.f64 t 2) (*.f64 (pow.f64 z 2) (cos.f64 y)))))))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(+.f64 (.f64 -1 (.f64 y (sin.f64 (.f64 -1/3 (.f64 t z))))) (cos.f64 (.f64 -1/3 (.f64 t z))))
(+.f64 (.f64 -1 (.f64 y (sin.f64 (.f64 -1/3 (.f64 t z))))) (+.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (.f64 -1/2 (.f64 (pow.f64 y 2) (cos.f64 (.f64 -1/3 (.f64 t z)))))))
(+.f64 (.f64 -1 (.f64 y (sin.f64 (.f64 -1/3 (.f64 t z))))) (+.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) (sin.f64 (.f64 -1/3 (.f64 t z))))) (.f64 -1/2 (.f64 (pow.f64 y 2) (cos.f64 (.f64 -1/3 (.f64 t z))))))))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))

Outputs
(cos.f64 y)
(+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))
(fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))
(fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (cos.f64 y))
(fma.f64 1/3 (.f64 (sin.f64 y) (.f64 t z)) (cos.f64 y))
(+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))))
(fma.f64 -1/18 (.f64 (.f64 (cos.f64 y) (.f64 t t)) (.f64 z z)) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))))
(fma.f64 -1/18 (.f64 (cos.f64 y) (.f64 (.f64 t t) (.f64 z z))) (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y)))
(fma.f64 -1/18 (.f64 (cos.f64 y) (.f64 (.f64 t z) (.f64 t z))) (fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (cos.f64 y)))
(fma.f64 (.f64 t (.f64 t -1/18)) (.f64 (cos.f64 y) (.f64 z z)) (fma.f64 1/3 (.f64 (sin.f64 y) (.f64 t z)) (cos.f64 y)))
(+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y)))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(fma.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (sin.f64 y) (pow.f64 z 3))) (fma.f64 -1/18 (.f64 (.f64 (cos.f64 y) (.f64 t t)) (.f64 z z)) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(fma.f64 -1/162 (.f64 (sin.f64 y) (.f64 (pow.f64 t 3) (pow.f64 z 3))) (fma.f64 -1/18 (.f64 (cos.f64 y) (.f64 (.f64 t t) (.f64 z z))) (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))))
(+.f64 (.f64 (+.f64 (.f64 -1/18 (.f64 (.f64 t z) (.f64 t z))) 1) (cos.f64 y)) (.f64 (sin.f64 y) (+.f64 (.f64 1/3 (.f64 t z)) (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))))))
(+.f64 (fma.f64 (.f64 t (.f64 t -1/18)) (.f64 (cos.f64 y) (.f64 z z)) (cos.f64 y)) (.f64 (sin.f64 y) (+.f64 (.f64 1/3 (.f64 t z)) (.f64 (pow.f64 t 3) (*.f64 -1/162 (pow.f64 z 3))))))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 y)
(+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))
(fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))
(fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (cos.f64 y))
(fma.f64 1/3 (.f64 (sin.f64 y) (.f64 t z)) (cos.f64 y))
(+.f64 (cos.f64 y) (+.f64 (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (pow.f64 z 2) (cos.f64 y))))))
(fma.f64 -1/18 (.f64 (.f64 (cos.f64 y) (.f64 t t)) (.f64 z z)) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))))
(fma.f64 -1/18 (.f64 (cos.f64 y) (.f64 (.f64 t t) (.f64 z z))) (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y)))
(fma.f64 -1/18 (.f64 (cos.f64 y) (.f64 (.f64 t z) (.f64 t z))) (fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (cos.f64 y)))
(fma.f64 (.f64 t (.f64 t -1/18)) (.f64 (cos.f64 y) (.f64 z z)) (fma.f64 1/3 (.f64 (sin.f64 y) (.f64 t z)) (cos.f64 y)))
(+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y)))) (+.f64 (cos.f64 y) (+.f64 (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 -1/18 (.f64 (pow.f64 t 2) (*.f64 (pow.f64 z 2) (cos.f64 y)))))))
(fma.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (sin.f64 y) (pow.f64 z 3))) (fma.f64 -1/18 (.f64 (.f64 (cos.f64 y) (.f64 t t)) (.f64 z z)) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(fma.f64 -1/162 (.f64 (sin.f64 y) (.f64 (pow.f64 t 3) (pow.f64 z 3))) (fma.f64 -1/18 (.f64 (cos.f64 y) (.f64 (.f64 t t) (.f64 z z))) (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))))
(+.f64 (.f64 (+.f64 (.f64 -1/18 (.f64 (.f64 t z) (.f64 t z))) 1) (cos.f64 y)) (.f64 (sin.f64 y) (+.f64 (.f64 1/3 (.f64 t z)) (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))))))
(+.f64 (fma.f64 (.f64 t (.f64 t -1/18)) (.f64 (cos.f64 y) (.f64 z z)) (cos.f64 y)) (.f64 (sin.f64 y) (+.f64 (.f64 1/3 (.f64 t z)) (.f64 (pow.f64 t 3) (*.f64 -1/162 (pow.f64 z 3))))))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 (.f64 -1/3 t) z))
(cos.f64 (.f64 t (.f64 z -1/3)))
(cos.f64 (.f64 (.f64 t z) -1/3))
(+.f64 (.f64 -1 (.f64 y (sin.f64 (.f64 -1/3 (.f64 t z))))) (cos.f64 (.f64 -1/3 (.f64 t z))))
(fma.f64 -1 (.f64 y (sin.f64 (.f64 (.f64 -1/3 t) z))) (cos.f64 (.f64 (*.f64 -1/3 t) z)))
(-.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (.f64 y (sin.f64 (.f64 t (*.f64 z -1/3)))))
(-.f64 (cos.f64 (.f64 (.f64 t z) -1/3)) (.f64 y (sin.f64 (.f64 (*.f64 t z) -1/3))))
(+.f64 (.f64 -1 (.f64 y (sin.f64 (.f64 -1/3 (.f64 t z))))) (+.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (.f64 -1/2 (.f64 (pow.f64 y 2) (cos.f64 (.f64 -1/3 (.f64 t z)))))))
(fma.f64 -1 (.f64 y (sin.f64 (.f64 (.f64 -1/3 t) z))) (+.f64 (cos.f64 (.f64 (.f64 -1/3 t) z)) (.f64 -1/2 (.f64 (cos.f64 (.f64 (.f64 -1/3 t) z)) (.f64 y y)))))
(-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 y y)) 1) (cos.f64 (.f64 t (.f64 z -1/3)))) (.f64 y (sin.f64 (.f64 t (.f64 z -1/3)))))
(-.f64 (.f64 (cos.f64 (.f64 (.f64 t z) -1/3)) (+.f64 1 (.f64 y (.f64 y -1/2)))) (.f64 y (sin.f64 (.f64 (.f64 t z) -1/3))))
(-.f64 (.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (+.f64 1 (.f64 -1/2 (.f64 y y)))) (.f64 y (sin.f64 (.f64 t (.f64 z -1/3)))))
(+.f64 (.f64 -1 (.f64 y (sin.f64 (.f64 -1/3 (.f64 t z))))) (+.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) (sin.f64 (.f64 -1/3 (.f64 t z))))) (.f64 -1/2 (.f64 (pow.f64 y 2) (cos.f64 (.f64 -1/3 (.f64 t z))))))))
(+.f64 (fma.f64 -1 (.f64 y (sin.f64 (.f64 (.f64 -1/3 t) z))) (cos.f64 (.f64 (.f64 -1/3 t) z))) (fma.f64 1/6 (.f64 (sin.f64 (.f64 (.f64 -1/3 t) z)) (pow.f64 y 3)) (.f64 -1/2 (.f64 (cos.f64 (.f64 (.f64 -1/3 t) z)) (*.f64 y y)))))
(+.f64 (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 y y)) 1) (cos.f64 (.f64 t (.f64 z -1/3)))) (.f64 y (sin.f64 (.f64 t (.f64 z -1/3))))) (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (.f64 1/6 (pow.f64 y 3))))
(+.f64 (.f64 (cos.f64 (.f64 (.f64 t z) -1/3)) (+.f64 1 (.f64 y (.f64 y -1/2)))) (-.f64 (.f64 (sin.f64 (.f64 (.f64 t z) -1/3)) (.f64 1/6 (pow.f64 y 3))) (.f64 y (sin.f64 (.f64 (.f64 t z) -1/3)))))
(+.f64 (.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (+.f64 1 (.f64 -1/2 (.f64 y y)))) (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (-.f64 (*.f64 1/6 (pow.f64 y 3)) y)))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(-.f64 (exp.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
(-.f64 (+.f64 (exp.f64 (cos.f64 y)) (.f64 1/3 (.f64 (exp.f64 (cos.f64 y)) (.f64 t (.f64 z (sin.f64 y)))))) 1)
(+.f64 (+.f64 (exp.f64 (cos.f64 y)) (.f64 1/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (exp.f64 (cos.f64 y))))) -1)
(+.f64 (.f64 (.f64 z (.f64 t (sin.f64 y))) (.f64 1/3 (exp.f64 (cos.f64 y)))) (expm1.f64 (cos.f64 y)))
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(+.f64 -1 (.f64 (exp.f64 (cos.f64 (.f64 t (.f64 z -1/3)))) (+.f64 (+.f64 1 (.f64 y (-.f64 (.f64 y (fma.f64 (cos.f64 (.f64 t (.f64 z -1/3))) -1/2 (.f64 1/2 (pow.f64 (sin.f64 (.f64 t (.f64 z -1/3))) 2)))) (sin.f64 (.f64 t (.f64 z -1/3)))))) (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/6 (pow.f64 (sin.f64 (.f64 t (.f64 z -1/3))) 3)) (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (+.f64 1/6 (.f64 (cos.f64 (.f64 t (.f64 z -1/3))) 1/2))))))))
(-.f64 (exp.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y))) 1)
(expm1.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)))
(-.f64 (exp.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y))) 1)
(expm1.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)))
(-.f64 (exp.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y))) 1)
(expm1.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)))
(-.f64 (exp.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y))) 1)
(expm1.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)))
(-.f64 (exp.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y))) 1)
(expm1.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)))
(-.f64 (exp.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y))) 1)
(expm1.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)))
(-.f64 (exp.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y))) 1)
(expm1.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)))
(-.f64 (exp.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y))) 1)
(expm1.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)))
(cos.f64 y)
(+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))
(fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))
(fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (cos.f64 y))
(fma.f64 1/3 (.f64 (sin.f64 y) (.f64 t z)) (cos.f64 y))
(+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))))
(fma.f64 -1/18 (.f64 (.f64 (cos.f64 y) (.f64 t t)) (.f64 z z)) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))))
(fma.f64 -1/18 (.f64 (cos.f64 y) (.f64 (.f64 t t) (.f64 z z))) (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y)))
(fma.f64 -1/18 (.f64 (cos.f64 y) (.f64 (.f64 t z) (.f64 t z))) (fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (cos.f64 y)))
(fma.f64 (.f64 t (.f64 t -1/18)) (.f64 (cos.f64 y) (.f64 z z)) (fma.f64 1/3 (.f64 (sin.f64 y) (.f64 t z)) (cos.f64 y)))
(+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y)))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(fma.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (sin.f64 y) (pow.f64 z 3))) (fma.f64 -1/18 (.f64 (.f64 (cos.f64 y) (.f64 t t)) (.f64 z z)) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(fma.f64 -1/162 (.f64 (sin.f64 y) (.f64 (pow.f64 t 3) (pow.f64 z 3))) (fma.f64 -1/18 (.f64 (cos.f64 y) (.f64 (.f64 t t) (.f64 z z))) (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))))
(+.f64 (.f64 (+.f64 (.f64 -1/18 (.f64 (.f64 t z) (.f64 t z))) 1) (cos.f64 y)) (.f64 (sin.f64 y) (+.f64 (.f64 1/3 (.f64 t z)) (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))))))
(+.f64 (fma.f64 (.f64 t (.f64 t -1/18)) (.f64 (cos.f64 y) (.f64 z z)) (cos.f64 y)) (.f64 (sin.f64 y) (+.f64 (.f64 1/3 (.f64 t z)) (.f64 (pow.f64 t 3) (*.f64 -1/162 (pow.f64 z 3))))))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 y)
(+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))
(fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))
(fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (cos.f64 y))
(fma.f64 1/3 (.f64 (sin.f64 y) (.f64 t z)) (cos.f64 y))
(+.f64 (cos.f64 y) (+.f64 (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (pow.f64 z 2) (cos.f64 y))))))
(fma.f64 -1/18 (.f64 (.f64 (cos.f64 y) (.f64 t t)) (.f64 z z)) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))))
(fma.f64 -1/18 (.f64 (cos.f64 y) (.f64 (.f64 t t) (.f64 z z))) (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y)))
(fma.f64 -1/18 (.f64 (cos.f64 y) (.f64 (.f64 t z) (.f64 t z))) (fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (cos.f64 y)))
(fma.f64 (.f64 t (.f64 t -1/18)) (.f64 (cos.f64 y) (.f64 z z)) (fma.f64 1/3 (.f64 (sin.f64 y) (.f64 t z)) (cos.f64 y)))
(+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y)))) (+.f64 (cos.f64 y) (+.f64 (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 -1/18 (.f64 (pow.f64 t 2) (*.f64 (pow.f64 z 2) (cos.f64 y)))))))
(fma.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (sin.f64 y) (pow.f64 z 3))) (fma.f64 -1/18 (.f64 (.f64 (cos.f64 y) (.f64 t t)) (.f64 z z)) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(fma.f64 -1/162 (.f64 (sin.f64 y) (.f64 (pow.f64 t 3) (pow.f64 z 3))) (fma.f64 -1/18 (.f64 (cos.f64 y) (.f64 (.f64 t t) (.f64 z z))) (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))))
(+.f64 (.f64 (+.f64 (.f64 -1/18 (.f64 (.f64 t z) (.f64 t z))) 1) (cos.f64 y)) (.f64 (sin.f64 y) (+.f64 (.f64 1/3 (.f64 t z)) (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))))))
(+.f64 (fma.f64 (.f64 t (.f64 t -1/18)) (.f64 (cos.f64 y) (.f64 z z)) (cos.f64 y)) (.f64 (sin.f64 y) (+.f64 (.f64 1/3 (.f64 t z)) (.f64 (pow.f64 t 3) (*.f64 -1/162 (pow.f64 z 3))))))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 (.f64 -1/3 t) z))
(cos.f64 (.f64 t (.f64 z -1/3)))
(cos.f64 (.f64 (.f64 t z) -1/3))
(+.f64 (.f64 -1 (.f64 y (sin.f64 (.f64 -1/3 (.f64 t z))))) (cos.f64 (.f64 -1/3 (.f64 t z))))
(fma.f64 -1 (.f64 y (sin.f64 (.f64 (.f64 -1/3 t) z))) (cos.f64 (.f64 (*.f64 -1/3 t) z)))
(-.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (.f64 y (sin.f64 (.f64 t (*.f64 z -1/3)))))
(-.f64 (cos.f64 (.f64 (.f64 t z) -1/3)) (.f64 y (sin.f64 (.f64 (*.f64 t z) -1/3))))
(+.f64 (.f64 -1 (.f64 y (sin.f64 (.f64 -1/3 (.f64 t z))))) (+.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (.f64 -1/2 (.f64 (pow.f64 y 2) (cos.f64 (.f64 -1/3 (.f64 t z)))))))
(fma.f64 -1 (.f64 y (sin.f64 (.f64 (.f64 -1/3 t) z))) (+.f64 (cos.f64 (.f64 (.f64 -1/3 t) z)) (.f64 -1/2 (.f64 (cos.f64 (.f64 (.f64 -1/3 t) z)) (.f64 y y)))))
(-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 y y)) 1) (cos.f64 (.f64 t (.f64 z -1/3)))) (.f64 y (sin.f64 (.f64 t (.f64 z -1/3)))))
(-.f64 (.f64 (cos.f64 (.f64 (.f64 t z) -1/3)) (+.f64 1 (.f64 y (.f64 y -1/2)))) (.f64 y (sin.f64 (.f64 (.f64 t z) -1/3))))
(-.f64 (.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (+.f64 1 (.f64 -1/2 (.f64 y y)))) (.f64 y (sin.f64 (.f64 t (.f64 z -1/3)))))
(+.f64 (.f64 -1 (.f64 y (sin.f64 (.f64 -1/3 (.f64 t z))))) (+.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) (sin.f64 (.f64 -1/3 (.f64 t z))))) (.f64 -1/2 (.f64 (pow.f64 y 2) (cos.f64 (.f64 -1/3 (.f64 t z))))))))
(+.f64 (fma.f64 -1 (.f64 y (sin.f64 (.f64 (.f64 -1/3 t) z))) (cos.f64 (.f64 (.f64 -1/3 t) z))) (fma.f64 1/6 (.f64 (sin.f64 (.f64 (.f64 -1/3 t) z)) (pow.f64 y 3)) (.f64 -1/2 (.f64 (cos.f64 (.f64 (.f64 -1/3 t) z)) (*.f64 y y)))))
(+.f64 (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 y y)) 1) (cos.f64 (.f64 t (.f64 z -1/3)))) (.f64 y (sin.f64 (.f64 t (.f64 z -1/3))))) (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (.f64 1/6 (pow.f64 y 3))))
(+.f64 (.f64 (cos.f64 (.f64 (.f64 t z) -1/3)) (+.f64 1 (.f64 y (.f64 y -1/2)))) (-.f64 (.f64 (sin.f64 (.f64 (.f64 t z) -1/3)) (.f64 1/6 (pow.f64 y 3))) (.f64 y (sin.f64 (.f64 (.f64 t z) -1/3)))))
(+.f64 (.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (+.f64 1 (.f64 -1/2 (.f64 y y)))) (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (-.f64 (*.f64 1/6 (pow.f64 y 3)) y)))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))

localize43.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 t -1/3)
	0.3b	(*.f64 a -1/3)
✓	1.5b	(exp.f64 (log.f64 (*.f64 t -1/3)))
✓	4.6b	(cos.f64 (fma.f64 z (exp.f64 (log.f64 (*.f64 t -1/3))) y))

Compiler

Compiled 83 to 54 computations (34.9% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(cos.f64 (fma.f64 z (exp.f64 (log.f64 (*.f64 t -1/3))) y))
0.0ms	y	@	0	(cos.f64 (fma.f64 z (exp.f64 (log.f64 (*.f64 t -1/3))) y))
0.0ms	t	@	-inf	(cos.f64 (fma.f64 z (exp.f64 (log.f64 (*.f64 t -1/3))) y))
0.0ms	t	@	inf	(cos.f64 (fma.f64 z (exp.f64 (log.f64 (*.f64 t -1/3))) y))
0.0ms	t	@	0	(cos.f64 (fma.f64 z (exp.f64 (log.f64 (*.f64 t -1/3))) y))

rewrite61.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

828×	`pow1_binary64`
760×	`add-log-exp_binary64`
760×	`log1p-expm1-u_binary64`
760×	`expm1-log1p-u_binary64`
743×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	183	14
2	2023	14

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

Inputs
(cos.f64 (fma.f64 z (exp.f64 (log.f64 (*.f64 t -1/3))) y))
(exp.f64 (log.f64 (*.f64 t -1/3)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cos.f64 (fma.f64 z (*.f64 t -1/3) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (*.f64 (*.f64 z t) -1/3)) (cos.f64 y)) (*.f64 (sin.f64 (*.f64 (*.f64 z t) -1/3)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y))) (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) 2)) (cbrt.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y))) (sqrt.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 t -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 t -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 t -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 t)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 t -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 t -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 t -1/3)) (cbrt.f64 (*.f64 (*.f64 t t) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 t t) 1/9)) (cbrt.f64 (*.f64 t -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 t) 2) (*.f64 (cbrt.f64 t) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 t -1/3)) (sqrt.f64 (*.f64 t -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 t) (*.f64 (sqrt.f64 t) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/3 (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/3 (sqrt.f64 t)) (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 t -1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 t -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 t -1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 t -1/3)))) (sqrt.f64 (log.f64 (*.f64 t -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 t -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 t -1/3))) 2)) (cbrt.f64 (log.f64 (*.f64 t -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 t t) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/3) t))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 t -1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 t -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 t -1/3)))))))

simplify78.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

913×	`fma-neg_binary64`
602×	`unswap-sqr_binary64`
540×	`*-commutative_binary64`
509×	`distribute-lft-out_binary64`
394×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	58	643
1	162	614
2	461	606
3	1768	591
4	3065	589
5	6284	589

Stop Event

1×	node limit

Counts

90 → 61

Calls

Call 1

Inputs
(cos.f64 y)
(+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))
(+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))))
(+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y)))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 y)
(+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (+.f64 (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (pow.f64 z 2) (cos.f64 y))))))
(+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y)))) (+.f64 (cos.f64 y) (+.f64 (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 -1/18 (.f64 (pow.f64 t 2) (*.f64 (pow.f64 z 2) (cos.f64 y)))))))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(+.f64 (.f64 -1 (.f64 y (sin.f64 (.f64 -1/3 (.f64 t z))))) (cos.f64 (.f64 -1/3 (.f64 t z))))
(+.f64 (.f64 -1 (.f64 y (sin.f64 (.f64 -1/3 (.f64 t z))))) (+.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (.f64 -1/2 (.f64 (pow.f64 y 2) (cos.f64 (.f64 -1/3 (.f64 t z)))))))
(+.f64 (.f64 -1 (.f64 y (sin.f64 (.f64 -1/3 (.f64 t z))))) (+.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) (sin.f64 (.f64 -1/3 (.f64 t z))))) (.f64 -1/2 (.f64 (pow.f64 y 2) (cos.f64 (.f64 -1/3 (.f64 t z))))))))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(*.f64 -1/3 t)
(*.f64 -1/3 t)
(*.f64 -1/3 t)
(*.f64 -1/3 t)
(*.f64 -1/3 t)
(*.f64 -1/3 t)
(*.f64 -1/3 t)
(*.f64 -1/3 t)
(*.f64 -1/3 t)
(*.f64 -1/3 t)
(*.f64 -1/3 t)
(*.f64 -1/3 t)

Outputs
(cos.f64 y)
(+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))
(fma.f64 1/3 (.f64 z (.f64 (sin.f64 y) t)) (cos.f64 y))
(fma.f64 1/3 (.f64 (sin.f64 y) (.f64 t z)) (cos.f64 y))
(fma.f64 (.f64 1/3 (.f64 t z)) (sin.f64 y) (cos.f64 y))
(+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))))
(fma.f64 -1/18 (.f64 (.f64 (.f64 t t) (.f64 z z)) (cos.f64 y)) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))))
(fma.f64 -1/18 (.f64 (cos.f64 y) (.f64 t (.f64 t (.f64 z z)))) (fma.f64 1/3 (.f64 z (.f64 (sin.f64 y) t)) (cos.f64 y)))
(fma.f64 (.f64 (.f64 t t) (.f64 z (.f64 z -1/18))) (cos.f64 y) (fma.f64 1/3 (.f64 (sin.f64 y) (.f64 t z)) (cos.f64 y)))
(+.f64 (cos.f64 y) (.f64 (.f64 t z) (+.f64 (.f64 1/3 (sin.f64 y)) (.f64 (.f64 t z) (.f64 (cos.f64 y) -1/18)))))
(+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y)))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(fma.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (sin.f64 y) (pow.f64 z 3))) (fma.f64 -1/18 (.f64 (.f64 (.f64 t t) (.f64 z z)) (cos.f64 y)) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(fma.f64 -1/162 (.f64 (pow.f64 z 3) (.f64 (sin.f64 y) (pow.f64 t 3))) (fma.f64 -1/18 (.f64 (cos.f64 y) (.f64 t (.f64 t (.f64 z z)))) (fma.f64 1/3 (.f64 z (.f64 (sin.f64 y) t)) (cos.f64 y))))
(+.f64 (.f64 (+.f64 (.f64 (.f64 t t) (.f64 z (.f64 z -1/18))) 1) (cos.f64 y)) (.f64 (sin.f64 y) (+.f64 (.f64 1/3 (.f64 t z)) (.f64 (pow.f64 t 3) (.f64 -1/162 (pow.f64 z 3))))))
(+.f64 (cos.f64 y) (fma.f64 -1/162 (.f64 (sin.f64 y) (.f64 (pow.f64 t 3) (pow.f64 z 3))) (.f64 (.f64 t z) (+.f64 (.f64 1/3 (sin.f64 y)) (.f64 (.f64 t z) (.f64 (cos.f64 y) -1/18))))))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 y)
(+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))
(fma.f64 1/3 (.f64 z (.f64 (sin.f64 y) t)) (cos.f64 y))
(fma.f64 1/3 (.f64 (sin.f64 y) (.f64 t z)) (cos.f64 y))
(fma.f64 (.f64 1/3 (.f64 t z)) (sin.f64 y) (cos.f64 y))
(+.f64 (cos.f64 y) (+.f64 (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (pow.f64 z 2) (cos.f64 y))))))
(fma.f64 -1/18 (.f64 (.f64 (.f64 t t) (.f64 z z)) (cos.f64 y)) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))))
(fma.f64 -1/18 (.f64 (cos.f64 y) (.f64 t (.f64 t (.f64 z z)))) (fma.f64 1/3 (.f64 z (.f64 (sin.f64 y) t)) (cos.f64 y)))
(fma.f64 (.f64 (.f64 t t) (.f64 z (.f64 z -1/18))) (cos.f64 y) (fma.f64 1/3 (.f64 (sin.f64 y) (.f64 t z)) (cos.f64 y)))
(+.f64 (cos.f64 y) (.f64 (.f64 t z) (+.f64 (.f64 1/3 (sin.f64 y)) (.f64 (.f64 t z) (.f64 (cos.f64 y) -1/18)))))
(+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y)))) (+.f64 (cos.f64 y) (+.f64 (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 -1/18 (.f64 (pow.f64 t 2) (*.f64 (pow.f64 z 2) (cos.f64 y)))))))
(fma.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (sin.f64 y) (pow.f64 z 3))) (fma.f64 -1/18 (.f64 (.f64 (.f64 t t) (.f64 z z)) (cos.f64 y)) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(fma.f64 -1/162 (.f64 (pow.f64 z 3) (.f64 (sin.f64 y) (pow.f64 t 3))) (fma.f64 -1/18 (.f64 (cos.f64 y) (.f64 t (.f64 t (.f64 z z)))) (fma.f64 1/3 (.f64 z (.f64 (sin.f64 y) t)) (cos.f64 y))))
(+.f64 (.f64 (+.f64 (.f64 (.f64 t t) (.f64 z (.f64 z -1/18))) 1) (cos.f64 y)) (.f64 (sin.f64 y) (+.f64 (.f64 1/3 (.f64 t z)) (.f64 (pow.f64 t 3) (.f64 -1/162 (pow.f64 z 3))))))
(+.f64 (cos.f64 y) (fma.f64 -1/162 (.f64 (sin.f64 y) (.f64 (pow.f64 t 3) (pow.f64 z 3))) (.f64 (.f64 t z) (+.f64 (.f64 1/3 (sin.f64 y)) (.f64 (.f64 t z) (.f64 (cos.f64 y) -1/18))))))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z -1/3)))
(cos.f64 (.f64 z (.f64 t -1/3)))
(+.f64 (.f64 -1 (.f64 y (sin.f64 (.f64 -1/3 (.f64 t z))))) (cos.f64 (.f64 -1/3 (.f64 t z))))
(fma.f64 -1 (.f64 y (sin.f64 (.f64 -1/3 (.f64 t z)))) (cos.f64 (.f64 -1/3 (*.f64 t z))))
(-.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (.f64 y (sin.f64 (.f64 t (*.f64 z -1/3)))))
(-.f64 (cos.f64 (.f64 z (.f64 t -1/3))) (.f64 y (sin.f64 (.f64 z (*.f64 t -1/3)))))
(+.f64 (.f64 -1 (.f64 y (sin.f64 (.f64 -1/3 (.f64 t z))))) (+.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (.f64 -1/2 (.f64 (pow.f64 y 2) (cos.f64 (.f64 -1/3 (.f64 t z)))))))
(fma.f64 -1 (.f64 y (sin.f64 (.f64 -1/3 (.f64 t z)))) (+.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (.f64 -1/2 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (.f64 y y)))))
(-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 y y)) 1) (cos.f64 (.f64 t (.f64 z -1/3)))) (.f64 y (sin.f64 (.f64 t (.f64 z -1/3)))))
(-.f64 (.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (fma.f64 -1/2 (.f64 y y) 1)) (.f64 y (sin.f64 (.f64 t (*.f64 z -1/3)))))
(-.f64 (.f64 (cos.f64 (.f64 z (.f64 t -1/3))) (fma.f64 -1/2 (.f64 y y) 1)) (.f64 y (sin.f64 (.f64 z (*.f64 t -1/3)))))
(+.f64 (.f64 -1 (.f64 y (sin.f64 (.f64 -1/3 (.f64 t z))))) (+.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) (sin.f64 (.f64 -1/3 (.f64 t z))))) (.f64 -1/2 (.f64 (pow.f64 y 2) (cos.f64 (.f64 -1/3 (.f64 t z))))))))
(+.f64 (fma.f64 -1 (.f64 y (sin.f64 (.f64 -1/3 (.f64 t z)))) (cos.f64 (.f64 -1/3 (.f64 t z)))) (fma.f64 1/6 (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) (pow.f64 y 3)) (.f64 -1/2 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (*.f64 y y)))))
(+.f64 (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 y y)) 1) (cos.f64 (.f64 t (.f64 z -1/3)))) (.f64 y (sin.f64 (.f64 t (.f64 z -1/3))))) (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (.f64 1/6 (pow.f64 y 3))))
(-.f64 (fma.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (.f64 1/6 (pow.f64 y 3)) (.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (fma.f64 -1/2 (.f64 y y) 1))) (.f64 y (sin.f64 (.f64 t (.f64 z -1/3)))))
(-.f64 (.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (fma.f64 -1/2 (.f64 y y) 1)) (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (-.f64 y (.f64 1/6 (pow.f64 y 3)))))
(fma.f64 (cos.f64 (.f64 z (.f64 t -1/3))) (fma.f64 -1/2 (.f64 y y) 1) (.f64 (sin.f64 (.f64 z (.f64 t -1/3))) (-.f64 (*.f64 1/6 (pow.f64 y 3)) y)))
(fma.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (fma.f64 -1/2 (.f64 y y) 1) (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (fma.f64 1/6 (pow.f64 y 3) (neg.f64 y))))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(*.f64 -1/3 t)
(*.f64 t -1/3)
(*.f64 -1/3 t)
(*.f64 t -1/3)
(*.f64 -1/3 t)
(*.f64 t -1/3)
(*.f64 -1/3 t)
(*.f64 t -1/3)
(*.f64 -1/3 t)
(*.f64 t -1/3)
(*.f64 -1/3 t)
(*.f64 t -1/3)
(*.f64 -1/3 t)
(*.f64 t -1/3)
(*.f64 -1/3 t)
(*.f64 t -1/3)
(*.f64 -1/3 t)
(*.f64 t -1/3)
(*.f64 -1/3 t)
(*.f64 t -1/3)
(*.f64 -1/3 t)
(*.f64 t -1/3)
(*.f64 -1/3 t)
(*.f64 t -1/3)

eval727.0ms (3.1%)

Compiler: Compiled 18443 to 11430 computations (38% saved)

prune277.0ms (1.2%)

Pruning

77 alts after pruning (74 fresh and 3 done)

	Pruned	Kept	Total
New	650	62	712
Fresh	31	12	43
Picked	1	0	1
Done	1	3	4
Total	683	77	760

Error

12.6b

Counts

760 → 77

Alt Table

Click to see full alt table

Status	Error	Program
	18.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (/.f64 (-.f64 (.f64 (exp.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))) (exp.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)))) 1) (+.f64 (exp.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))) 1)))) (/.f64 a (*.f64 b 3)))
	61.2b	(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (/.f64 1/3 b))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (/.f64 1/3 b)))))))
	28.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (cbrt.f64 (.f64 1/3 t)) 3)))) (/.f64 a (*.f64 b 3)))
	18.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (.f64 (exp.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 (/.f64 t 3) z)))) (exp.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (/.f64 t 3) z))))))) (/.f64 a (.f64 b 3)))
	20.7b	(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2))) (/.f64 a (*.f64 b 3)))
▶	38.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (pow.f64 (.f64 1/3 t) 3) 1/3)))) (/.f64 a (*.f64 b 3)))
	39.3b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (pow.f64 (pow.f64 (.f64 t -1/3) 3) 1/3) y))) (/.f64 (*.f64 a -1/3) b))
	18.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 a b) 1/3))
	28.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (-.f64 (exp.f64 (cos.f64 (.f64 -1/3 (.f64 t z)))) 1))) (/.f64 a (*.f64 b 3)))
	20.6b	(fma.f64 (sqrt.f64 x) (.f64 2 (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))) (/.f64 (.f64 a -1/3) b))
▶	14.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 (/.f64 a 3) b) 1))
	24.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (cbrt.f64 (pow.f64 (.f64 (/.f64 t 3) z) 3))))) (/.f64 a (.f64 b 3)))
	18.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (-.f64 y (.f64 (/.f64 t 3) z)))))) (/.f64 a (.f64 b 3)))
	26.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (.f64 (/.f64 1 (cbrt.f64 (.f64 9 (.f64 b b)))) (/.f64 a (cbrt.f64 (.f64 3 b)))))
	14.9b	(-.f64 (pow.f64 (cbrt.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))) 3) (/.f64 a (*.f64 b 3)))
	24.4b	(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
	14.7b	(fma.f64 (cbrt.f64 (.f64 x 4)) (.f64 (cbrt.f64 (.f64 2 (sqrt.f64 x))) (cos.f64 y)) (.f64 a (neg.f64 (/.f64 1/3 b))))
	20.6b	(-.f64 (.f64 (sqrt.f64 x) (fma.f64 2 (cos.f64 y) (.f64 (.f64 z (sin.f64 y)) (.f64 t 2/3)))) (/.f64 a (*.f64 b 3)))
▶	36.4b	(*.f64 -1/3 (/.f64 a b))
	28.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 1/3 t))) 3))) (/.f64 a (*.f64 b 3)))
	24.7b	(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 (-.f64 y (.f64 (/.f64 t 3) z))) 2))) (/.f64 a (.f64 b 3)))
	18.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 1/3 (/.f64 t (/.f64 1 z)))))) (/.f64 a (.f64 b 3)))
	18.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 y (.f64 (/.f64 t 3) z)))) 3)) (/.f64 a (.f64 b 3)))
	29.2b	(-.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) 1) (/.f64 a (*.f64 b 3)))
✓	28.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 1/3 t)))) (/.f64 a (*.f64 b 3)))
	28.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (.f64 z 1/3)))) (/.f64 a (*.f64 b 3)))
▶	18.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2) (cbrt.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (.f64 b 3)))
	40.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (pow.f64 (pow.f64 (.f64 z (.f64 1/3 t)) 3) 1/3))) (/.f64 a (*.f64 b 3)))
✓	18.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (/.f64 (/.f64 3 z) t) -1)))) (/.f64 a (*.f64 b 3)))
	18.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 3 (.f64 z t))) 2)) (cbrt.f64 (/.f64 3 (.f64 z t))))))) (/.f64 a (*.f64 b 3)))
	18.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 t 3) z)))) (/.f64 a (.f64 b 3)))
	24.7b	(-.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) 2) (.f64 x 4))) (/.f64 a (.f64 b 3)))
	28.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 (.f64 z (.f64 1/3 t))) 3))) (/.f64 a (*.f64 b 3)))
	28.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z)))) (/.f64 a (*.f64 b 3)))
	18.9b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (-.f64 y (.f64 (/.f64 t 3) z))) (.f64 2 (sqrt.f64 x)))) 3) (/.f64 a (.f64 b 3)))
	36.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (sqrt.f64 (.f64 (/.f64 t 3) z)) (sqrt.f64 (.f64 (/.f64 t 3) z)))))) (/.f64 a (.f64 b 3)))
	61.0b	(log.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))))
	18.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (/.f64 t 3) (/.f64 1 z))))) (/.f64 a (*.f64 b 3)))
	14.7b	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 (.f64 2 (sqrt.f64 x)))) (sqrt.f64 (.f64 2 (sqrt.f64 x))) (.f64 a (neg.f64 (/.f64 1/3 b))))
	38.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) (/.f64 1/3 b))))
	38.5b	(-.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 (-.f64 y (.f64 (/.f64 t 3) z))) (.f64 2 (sqrt.f64 x))) 3) 1/3) (/.f64 a (.f64 b 3)))
	37.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (-.f64 y (.f64 (/.f64 t 3) z))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (-.f64 y (.f64 (/.f64 t 3) z))))) (sin.f64 1)))) (/.f64 a (*.f64 b 3)))
	20.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))))) (/.f64 a (.f64 b 3)))
	18.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))))) (/.f64 a (*.f64 b 3)))
	36.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (exp.f64 (log.f64 (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
	28.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (.f64 z (.f64 1/3 t))) 2))) (/.f64 a (*.f64 b 3)))
	18.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (cbrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
	52.9b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (pow.f64 (exp.f64 1) (log.f64 (.f64 t -1/3))) y))) (/.f64 (*.f64 a -1/3) b))
	19.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 a 3) b)) 3))
	18.9b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x)))) 3) (/.f64 a (.f64 b 3)))
	19.0b	(fma.f64 (sqrt.f64 x) (.f64 2 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))))) (/.f64 (.f64 a -1/3) b))
	14.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1/3 b) a))
	19.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 a 3) b)) 2) (cbrt.f64 (/.f64 (/.f64 a 3) b))))
	28.3b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (.f64 z (.f64 t -1/3)))) (/.f64 (.f64 a -1/3) b))
▶	28.4b	(-.f64 (exp.f64 (log.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) (/.f64 a (*.f64 b 3)))
	28.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 z (.f64 1/3 t)))) 3)) (/.f64 a (*.f64 b 3)))
	18.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 (/.f64 t 3) z))) (.f64 (cos.f64 y) (cos.f64 (.f64 (/.f64 t 3) z))))) (/.f64 a (*.f64 b 3)))
	35.5b	(pow.f64 (sqrt.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))) 2)
	24.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (sqrt.f64 (pow.f64 (expm1.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))) 2)))) (/.f64 a (.f64 b 3)))
	37.4b	(fma.f64 (sqrt.f64 x) (.f64 2 (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 z (.f64 t -1/3) y)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 z (.f64 t -1/3) y)))) (sin.f64 1)))) (/.f64 (.f64 a -1/3) b))
✓	14.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
	36.4b	(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 a (*.f64 b 3)))
	35.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (cbrt.f64 (pow.f64 (.f64 1/3 t) 3))))) (/.f64 a (*.f64 b 3)))
	36.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 -1/18 (pow.f64 (.f64 t z) 2) 1)) (/.f64 a (.f64 b 3)))
	15.3b	(pow.f64 (cbrt.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))) 3)
	18.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 3 z)) 2)) (/.f64 t (cbrt.f64 (/.f64 3 z))))))) (/.f64 a (.f64 b 3)))
	46.9b	(pow.f64 (pow.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 3) 1/3)
	18.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)))) 3))) (/.f64 a (.f64 b 3)))
	24.3b	(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
	23.9b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 (cbrt.f64 (.f64 (.f64 t t) 1/9)) (cbrt.f64 (.f64 t -1/3))) y))) (/.f64 (.f64 a -1/3) b))
	42.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (exp.f64 (log.f64 (.f64 z (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
	14.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1 b) (/.f64 a 3)))
	24.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 (cbrt.f64 (.f64 t t)) 1) (/.f64 (cbrt.f64 t) (/.f64 3 z)))))) (/.f64 a (*.f64 b 3)))
	18.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 (-.f64 y (.f64 (/.f64 t 3) z))) 3))) (/.f64 a (.f64 b 3)))
	24.6b	(/.f64 (-.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2)) (pow.f64 (.f64 a (neg.f64 (/.f64 1/3 b))) 2)) (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (neg.f64 (/.f64 1/3 b)))))
	61.1b	(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (/.f64 1/3 b)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (/.f64 1/3 b)))))))
	14.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (-.f64 (exp.f64 (cos.f64 y)) 1))) (/.f64 a (*.f64 b 3)))

Compiler

Compiled 4171 to 3250 computations (22.1% saved)

localize24.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 (/.f64 a 3) b) 1))
	0.2b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
✓	0.2b	(/.f64 (/.f64 a 3) b)

Compiler

Compiled 58 to 35 computations (39.7% saved)

series7.0ms (0%)

Counts

2 → 61

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	b	@	inf	(/.f64 (/.f64 a 3) b)
0.0ms	x	@	-inf	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 (/.f64 a 3) b) 1))
0.0ms	x	@	0	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 (/.f64 a 3) b) 1))
0.0ms	a	@	0	(/.f64 (/.f64 a 3) b)
0.0ms	x	@	inf	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 (/.f64 a 3) b) 1))

rewrite103.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

782×	`log-prod_binary64`
438×	`fma-def_binary64`
278×	`expm1-udef_binary64`
278×	`log1p-udef_binary64`
256×	`pow3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	27
1	355	25
2	4341	25

Stop Event

1×	node limit

Counts

2 → 218

Calls

Call 1

Inputs
(/.f64 (/.f64 a 3) b)
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 (/.f64 a 3) b) 1))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 a 1/3) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 a 1/3) b))) (cbrt.f64 (exp.f64 (/.f64 (*.f64 a 1/3) b))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 a 1/3) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 a 1/3) b)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 a 1/3) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 a 1/3) b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (/.f64 1 (*.f64 3 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (*.f64 1/3 (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a 1/3) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a 1/3) (*.f64 (/.f64 1 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 a 1/3) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a 1/3) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 a 1/3) b)) (cbrt.f64 (pow.f64 (/.f64 (*.f64 a 1/3) b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 a 1/3) b) 2)) (cbrt.f64 (/.f64 (*.f64 a 1/3) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 a 1/3)) 2) (*.f64 (cbrt.f64 (*.f64 a 1/3)) (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (*.f64 a 1/3) b)) (sqrt.f64 (/.f64 (*.f64 a 1/3) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a 1/3)) (*.f64 (sqrt.f64 (*.f64 a 1/3)) (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a -1/3) (/.f64 1 (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 b) (*.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) b) (/.f64 (cbrt.f64 a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) b) (/.f64 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(*.f64 x 4))) (cbrt.f64 (sqrt.f64 (*.f64 x 4))) (/.f64 (*.f64 a -1/3) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 y) (cbrt.f64 (*.f64 x 4))) (cbrt.f64 (sqrt.f64 (*.f64 x 4))) (+.f64 (/.f64 (*.f64 a -1/3) b) (+.f64 (/.f64 (*.f64 a -1/3) b) (/.f64 (*.f64 a 1/3) b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 y) (cbrt.f64 (*.f64 x 4))) (cbrt.f64 (sqrt.f64 (*.f64 x 4))) (neg.f64 (-.f64 (/.f64 (*.f64 a 1/3) b) (+.f64 (/.f64 (*.f64 a -1/3) b) (/.f64 (*.f64 a 1/3) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 (sqrt.f64 (*.f64 x 4)))) (sqrt.f64 (sqrt.f64 (*.f64 x 4))) (/.f64 (*.f64 a -1/3) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 (sqrt.f64 (*.f64 x 4)))) (sqrt.f64 (sqrt.f64 (*.f64 x 4))) (+.f64 (/.f64 (*.f64 a -1/3) b) (+.f64 (/.f64 (*.f64 a -1/3) b) (/.f64 (*.f64 a 1/3) b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 (sqrt.f64 (*.f64 x 4)))) (sqrt.f64 (sqrt.f64 (*.f64 x 4))) (neg.f64 (-.f64 (/.f64 (*.f64 a 1/3) b) (+.f64 (/.f64 (*.f64 a -1/3) b) (/.f64 (*.f64 a 1/3) b)))))))))

simplify70.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

902×	`fma-def_binary64`
490×	`distribute-rgt-neg-in_binary64`
447×	`distribute-lft-neg-in_binary64`
367×	`associate-l_binary64`
321×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	829
1	106	814
2	285	790
3	956	788
4	4072	788

Stop Event

1×	node limit

Counts

279 → 235

Calls

Call 1

Inputs
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
(-.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x))) (.f64 1/3 (/.f64 a b)))
(-.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/12 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x)))) (.f64 1/3 (/.f64 a b)))
(-.f64 (+.f64 (.f64 -1/360 (.f64 (pow.f64 y 6) (sqrt.f64 x))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/12 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x))))) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(*.f64 -1/3 (/.f64 a b))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(*.f64 -1/3 (/.f64 a b))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(*.f64 -1/3 (/.f64 a b))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))

Outputs
(*.f64 1/3 (/.f64 a b))
(/.f64 a (/.f64 b 1/3))
(*.f64 1/3 (/.f64 a b))
(/.f64 a (/.f64 b 1/3))
(*.f64 1/3 (/.f64 a b))
(/.f64 a (/.f64 b 1/3))
(*.f64 1/3 (/.f64 a b))
(/.f64 a (/.f64 b 1/3))
(*.f64 1/3 (/.f64 a b))
(/.f64 a (/.f64 b 1/3))
(*.f64 1/3 (/.f64 a b))
(/.f64 a (/.f64 b 1/3))
(*.f64 1/3 (/.f64 a b))
(/.f64 a (/.f64 b 1/3))
(*.f64 1/3 (/.f64 a b))
(/.f64 a (/.f64 b 1/3))
(*.f64 1/3 (/.f64 a b))
(/.f64 a (/.f64 b 1/3))
(*.f64 1/3 (/.f64 a b))
(/.f64 a (/.f64 b 1/3))
(*.f64 1/3 (/.f64 a b))
(/.f64 a (/.f64 b 1/3))
(*.f64 1/3 (/.f64 a b))
(/.f64 a (/.f64 b 1/3))
(*.f64 1/3 (/.f64 a b))
(/.f64 a (/.f64 b 1/3))
(*.f64 1/3 (/.f64 a b))
(/.f64 a (/.f64 b 1/3))
(*.f64 1/3 (/.f64 a b))
(/.f64 a (/.f64 b 1/3))
(*.f64 1/3 (/.f64 a b))
(/.f64 a (/.f64 b 1/3))
(*.f64 1/3 (/.f64 a b))
(/.f64 a (/.f64 b 1/3))
(*.f64 1/3 (/.f64 a b))
(/.f64 a (/.f64 b 1/3))
(*.f64 1/3 (/.f64 a b))
(/.f64 a (/.f64 b 1/3))
(*.f64 1/3 (/.f64 a b))
(/.f64 a (/.f64 b 1/3))
(*.f64 1/3 (/.f64 a b))
(/.f64 a (/.f64 b 1/3))
(*.f64 1/3 (/.f64 a b))
(/.f64 a (/.f64 b 1/3))
(*.f64 1/3 (/.f64 a b))
(/.f64 a (/.f64 b 1/3))
(*.f64 1/3 (/.f64 a b))
(/.f64 a (/.f64 b 1/3))
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 a b) -1/3)
(/.f64 a (/.f64 b -1/3))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
(fma.f64 2 (sqrt.f64 x) (*.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (*.f64 2 (sqrt.f64 x)))
(fma.f64 2 (sqrt.f64 x) (/.f64 a (/.f64 b -1/3)))
(-.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x))) (.f64 1/3 (/.f64 a b)))
(+.f64 (fma.f64 -1 (.f64 (sqrt.f64 x) (.f64 y y)) (.f64 2 (sqrt.f64 x))) (.f64 (/.f64 a b) -1/3))
(+.f64 (.f64 (/.f64 a b) -1/3) (.f64 (sqrt.f64 x) (+.f64 2 (neg.f64 (*.f64 y y)))))
(fma.f64 (/.f64 a b) -1/3 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))))
(-.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/12 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x)))) (.f64 1/3 (/.f64 a b)))
(+.f64 (fma.f64 -1 (.f64 (sqrt.f64 x) (.f64 y y)) (fma.f64 1/12 (.f64 (sqrt.f64 x) (pow.f64 y 4)) (.f64 2 (sqrt.f64 x)))) (*.f64 (/.f64 a b) -1/3))
(+.f64 (.f64 (/.f64 a b) -1/3) (-.f64 (.f64 (sqrt.f64 x) (+.f64 2 (.f64 1/12 (pow.f64 y 4)))) (.f64 (sqrt.f64 x) (*.f64 y y))))
(fma.f64 (/.f64 a b) -1/3 (.f64 (sqrt.f64 x) (-.f64 (fma.f64 1/12 (pow.f64 y 4) 2) (.f64 y y))))
(fma.f64 (sqrt.f64 x) (-.f64 (fma.f64 1/12 (pow.f64 y 4) 2) (*.f64 y y)) (/.f64 a (/.f64 b -1/3)))
(-.f64 (+.f64 (.f64 -1/360 (.f64 (pow.f64 y 6) (sqrt.f64 x))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/12 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x))))) (.f64 1/3 (/.f64 a b)))
(+.f64 (fma.f64 -1/360 (.f64 (sqrt.f64 x) (pow.f64 y 6)) (fma.f64 -1 (.f64 (sqrt.f64 x) (.f64 y y)) (fma.f64 1/12 (.f64 (sqrt.f64 x) (pow.f64 y 4)) (.f64 2 (sqrt.f64 x))))) (.f64 (/.f64 a b) -1/3))
(+.f64 (.f64 (/.f64 a b) -1/3) (+.f64 (.f64 (sqrt.f64 x) (+.f64 2 (.f64 1/12 (pow.f64 y 4)))) (.f64 (sqrt.f64 x) (+.f64 (.f64 -1/360 (pow.f64 y 6)) (neg.f64 (.f64 y y))))))
(fma.f64 (/.f64 a b) -1/3 (.f64 (sqrt.f64 x) (+.f64 (fma.f64 1/12 (pow.f64 y 4) 2) (fma.f64 -1/360 (pow.f64 y 6) (.f64 y (neg.f64 y))))))
(fma.f64 (sqrt.f64 x) (-.f64 (fma.f64 -1/360 (pow.f64 y 6) (fma.f64 1/12 (pow.f64 y 4) 2)) (*.f64 y y)) (/.f64 a (/.f64 b -1/3)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 (/.f64 a b) -1/3 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (/.f64 b -1/3)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 (/.f64 a b) -1/3 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (/.f64 b -1/3)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 (/.f64 a b) -1/3 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (/.f64 b -1/3)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 (/.f64 a b) -1/3 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (/.f64 b -1/3)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 (/.f64 a b) -1/3 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (/.f64 b -1/3)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 (/.f64 a b) -1/3 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (/.f64 b -1/3)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 (/.f64 a b) -1/3 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (/.f64 b -1/3)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 (/.f64 a b) -1/3 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (/.f64 b -1/3)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))
(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 (/.f64 a b) -1/3 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (/.f64 b -1/3)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 (/.f64 a b) -1/3 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (/.f64 b -1/3)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 (/.f64 a b) -1/3 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (/.f64 b -1/3)))
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 a b) -1/3)
(/.f64 a (/.f64 b -1/3))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 (/.f64 a b) -1/3 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (/.f64 b -1/3)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 (/.f64 a b) -1/3 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (/.f64 b -1/3)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 (/.f64 a b) -1/3 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (/.f64 b -1/3)))
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 a b) -1/3)
(/.f64 a (/.f64 b -1/3))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 (/.f64 a b) -1/3 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (/.f64 b -1/3)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 (/.f64 a b) -1/3 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (/.f64 b -1/3)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 (/.f64 a b) -1/3 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (/.f64 b -1/3)))
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 a b) -1/3)
(/.f64 a (/.f64 b -1/3))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 (/.f64 a b) -1/3 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (/.f64 b -1/3)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 (/.f64 a b) -1/3 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (/.f64 b -1/3)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 (/.f64 a b) -1/3 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (/.f64 b -1/3)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))
(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 (/.f64 a b) -1/3 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (/.f64 b -1/3)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 (/.f64 a b) -1/3 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (/.f64 b -1/3)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 (/.f64 a b) -1/3 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (/.f64 b -1/3)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))
(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 (/.f64 a b) -1/3 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (/.f64 b -1/3)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 (/.f64 a b) -1/3 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (/.f64 b -1/3)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 (/.f64 a b) -1/3 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (/.f64 b -1/3)))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 -1/3 (/.f64 a b))

Compiler

Compiled 17 to 10 computations (41.2% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	a	@	0	(*.f64 -1/3 (/.f64 a b))
0.0ms	a	@	inf	(*.f64 -1/3 (/.f64 a b))
0.0ms	b	@	-inf	(*.f64 -1/3 (/.f64 a b))
0.0ms	a	@	-inf	(*.f64 -1/3 (/.f64 a b))
0.0ms	b	@	0	(*.f64 -1/3 (/.f64 a b))

rewrite84.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

653×	`pow1_binary64`
607×	`add-log-exp_binary64`
607×	`log1p-expm1-u_binary64`
607×	`expm1-log1p-u_binary64`
595×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	127	7
2	1611	7

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

Inputs
(*.f64 -1/3 (/.f64 a b))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/3 (/.f64 a b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/3 (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b (*.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/3 a) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -1/3 a)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/3 a) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/3 a) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/3 a) (sqrt.f64 b)) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 a) -1/3) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/3 (neg.f64 a)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/3 (/.f64 a b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/3 (/.f64 a b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 a b) 2) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/3) (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/3 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/3 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/3 (/.f64 a b))))))))

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

20 → 20

Calls

Call 1

Inputs

Outputs

localize37.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (exp.f64 (log.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) (/.f64 a (*.f64 b 3)))
✓	0.2b	(*.f64 (sqrt.f64 x) (cos.f64 y))
	0.2b	(/.f64 a (*.f64 b 3))
✓	3.6b	(exp.f64 (log.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))))

Compiler

Compiled 68 to 33 computations (51.5% saved)

series15.0ms (0.1%)

Counts

3 → 61

Calls

24 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	(*.f64 (sqrt.f64 x) (cos.f64 y))
1.0ms	x	@	0	(*.f64 (sqrt.f64 x) (cos.f64 y))
1.0ms	x	@	-inf	(*.f64 (sqrt.f64 x) (cos.f64 y))
1.0ms	x	@	0	(exp.f64 (log.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))))
0.0ms	x	@	-inf	(exp.f64 (log.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))))

rewrite108.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

805×	`log-prod_binary64`
348×	`fma-def_binary64`
282×	`pow1/3_binary64`
280×	`expm1-udef_binary64`
280×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	39
1	323	39
2	4169	39

Stop Event

1×	node limit

Counts

3 → 184

Calls

Call 1

Inputs
(exp.f64 (log.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))))
(*.f64 (sqrt.f64 x) (cos.f64 y))
(-.f64 (exp.f64 (log.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) (/.f64 a (*.f64 b 3)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 (sqrt.f64 x) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 y) (*.f64 2 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (*.f64 (sqrt.f64 x) (cos.f64 y)))) (cbrt.f64 (pow.f64 (exp.f64 2) (*.f64 (sqrt.f64 x) (cos.f64 y)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (*.f64 (sqrt.f64 x) (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) (*.f64 (sqrt.f64 x) (cos.f64 y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) (*.f64 (sqrt.f64 x) (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) (*.f64 2 (sqrt.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (cos.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 y) (*.f64 2 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) (*.f64 2 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (cos.f64 y) (*.f64 2 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 y) (*.f64 2 (sqrt.f64 x)))) (cbrt.f64 (*.f64 4 (*.f64 x (pow.f64 (cos.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 4 (*.f64 x (pow.f64 (cos.f64 y) 2)))) (cbrt.f64 (*.f64 (cos.f64 y) (*.f64 2 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (pow.f64 (cos.f64 y) 2))) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (cos.f64 y) (*.f64 2 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (cos.f64 y) (*.f64 2 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (cbrt.f64 (*.f64 x (pow.f64 (cos.f64 y) 2)))) (cbrt.f64 (*.f64 (sqrt.f64 x) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)))) (sqrt.f64 (*.f64 (sqrt.f64 x) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) 1) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 y) (*.f64 2 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) (*.f64 2 (sqrt.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) (*.f64 2 (sqrt.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 8 (pow.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (cos.f64 y) (*.f64 2 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (cos.f64 y) (*.f64 2 (sqrt.f64 x)))))) (sqrt.f64 (log.f64 (*.f64 (cos.f64 y) (*.f64 2 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (cos.f64 y) (*.f64 2 (sqrt.f64 x))))) 2)) (cbrt.f64 (log.f64 (*.f64 (cos.f64 y) (*.f64 2 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4 (*.f64 x (pow.f64 (cos.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2) (*.f64 (sqrt.f64 x) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) (*.f64 2 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 8 (pow.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) (*.f64 2 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) (*.f64 2 (sqrt.f64 x)))))))))

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(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 1/3 b)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 a (/.f64 1/3 b)))) (pow.f64 (cbrt.f64 (*.f64 a (/.f64 1/3 b))) 2) (*.f64 a (/.f64 1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 4 (*.f64 x (pow.f64 (cos.f64 y) 2))) (pow.f64 (*.f64 a (/.f64 1/3 b)) 2)) (/.f64 1 (fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 1/3 b)))) (+.f64 (*.f64 a (neg.f64 (/.f64 1/3 b))) (*.f64 a (/.f64 1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y) (*.f64 a (neg.f64 (/.f64 1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y) (*.f64 (*.f64 a (neg.f64 (/.f64 1/3 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 a (neg.f64 (/.f64 1/3 b)))) (cbrt.f64 (*.f64 a (neg.f64 (/.f64 1/3 b))))) (cbrt.f64 (*.f64 a (neg.f64 (/.f64 1/3 b)))) (*.f64 (cos.f64 y) (*.f64 2 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 a (neg.f64 (/.f64 1/3 b)))) (sqrt.f64 (*.f64 a (neg.f64 (/.f64 1/3 b)))) (*.f64 (cos.f64 y) (*.f64 2 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 a (/.f64 1/3 b)))) (sqrt.f64 (*.f64 a (/.f64 1/3 b))) (*.f64 (cos.f64 y) (*.f64 2 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 a (/.f64 1/3 b)) (*.f64 (cos.f64 y) (*.f64 2 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 (cos.f64 y) (*.f64 2 (sqrt.f64 x)))) (sqrt.f64 (*.f64 a (/.f64 1/3 b)))) (-.f64 (sqrt.f64 (*.f64 (cos.f64 y) (*.f64 2 (sqrt.f64 x)))) (sqrt.f64 (*.f64 a (/.f64 1/3 b)))) (fma.f64 (neg.f64 (/.f64 1/3 b)) a (*.f64 a (/.f64 1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 (cos.f64 y) (*.f64 2 (sqrt.f64 x)))) (sqrt.f64 (*.f64 a (/.f64 1/3 b)))) (-.f64 (sqrt.f64 (*.f64 (cos.f64 y) (*.f64 2 (sqrt.f64 x)))) (sqrt.f64 (*.f64 a (/.f64 1/3 b)))) (fma.f64 (*.f64 a (neg.f64 (/.f64 1/3 b))) 1 (*.f64 a (/.f64 1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 (cos.f64 y) (*.f64 2 (sqrt.f64 x)))) (sqrt.f64 (*.f64 a (/.f64 1/3 b)))) (-.f64 (sqrt.f64 (*.f64 (cos.f64 y) (*.f64 2 (sqrt.f64 x)))) (sqrt.f64 (*.f64 a (/.f64 1/3 b)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 a (/.f64 1/3 b)))) (pow.f64 (cbrt.f64 (*.f64 a (/.f64 1/3 b))) 2) (*.f64 a (/.f64 1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 (cos.f64 y) (*.f64 2 (sqrt.f64 x)))) (sqrt.f64 (*.f64 a (/.f64 1/3 b)))) (-.f64 (sqrt.f64 (*.f64 (cos.f64 y) (*.f64 2 (sqrt.f64 x)))) (sqrt.f64 (*.f64 a (/.f64 1/3 b)))) (+.f64 (*.f64 a (neg.f64 (/.f64 1/3 b))) (*.f64 a (/.f64 1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 a (/.f64 1/3 b))) 2)) (cbrt.f64 (*.f64 a (/.f64 1/3 b))) (*.f64 (cos.f64 y) (*.f64 2 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x) (*.f64 a (neg.f64 (/.f64 1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x) (*.f64 (*.f64 a (neg.f64 (/.f64 1/3 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (cbrt.f64 (*.f64 x (pow.f64 (cos.f64 y) 2)))) (cbrt.f64 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (neg.f64 (/.f64 1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (cbrt.f64 (*.f64 x (pow.f64 (cos.f64 y) 2)))) (cbrt.f64 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 (*.f64 a (neg.f64 (/.f64 1/3 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sqrt.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)))) (sqrt.f64 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (neg.f64 (/.f64 1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sqrt.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)))) (sqrt.f64 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 (*.f64 a (neg.f64 (/.f64 1/3 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) 1) (cos.f64 y) (*.f64 a (neg.f64 (/.f64 1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) 1) (cos.f64 y) (*.f64 (*.f64 a (neg.f64 (/.f64 1/3 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)) (*.f64 a (neg.f64 (/.f64 1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)) (*.f64 (*.f64 a (neg.f64 (/.f64 1/3 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (*.f64 a (neg.f64 (/.f64 1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (*.f64 (*.f64 a (neg.f64 (/.f64 1/3 b))) 1))))))

simplify70.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

723×	`distribute-rgt-out_binary64`
596×	`associate-l_binary64`
489×	`distribute-rgt-neg-in_binary64`
461×	`associate-r_binary64`
447×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	50	993
1	137	963
2	385	909
3	1296	906
4	4455	906

Stop Event

1×	node limit

Counts

245 → 214

Calls

Call 1

Inputs
(*.f64 2 (sqrt.f64 x))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/12 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x))))
(+.f64 (.f64 -1/360 (.f64 (pow.f64 y 6) (sqrt.f64 x))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/12 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(sqrt.f64 x)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (sqrt.f64 x))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (sqrt.f64 x)))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) (sqrt.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (sqrt.f64 x))))
(*.f64 (cos.f64 y) (sqrt.f64 x))
(*.f64 (cos.f64 y) (sqrt.f64 x))
(*.f64 (cos.f64 y) (sqrt.f64 x))
(*.f64 (cos.f64 y) (sqrt.f64 x))
(*.f64 (cos.f64 y) (sqrt.f64 x))
(*.f64 (cos.f64 y) (sqrt.f64 x))
(*.f64 (cos.f64 y) (sqrt.f64 x))
(*.f64 (cos.f64 y) (sqrt.f64 x))
(*.f64 -1/3 (/.f64 a b))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
(-.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x))) (.f64 1/3 (/.f64 a b)))
(-.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/12 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x)))) (.f64 1/3 (/.f64 a b)))
(-.f64 (+.f64 (.f64 -1/360 (.f64 (pow.f64 y 6) (sqrt.f64 x))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/12 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x))))) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(*.f64 -1/3 (/.f64 a b))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(*.f64 -1/3 (/.f64 a b))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(*.f64 -1/3 (/.f64 a b))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))

Outputs
(*.f64 2 (sqrt.f64 x))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))
(fma.f64 -1 (.f64 (sqrt.f64 x) (.f64 y y)) (*.f64 2 (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (+.f64 (neg.f64 (.f64 y y)) 2))
(.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/12 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x))))
(fma.f64 -1 (.f64 (sqrt.f64 x) (.f64 y y)) (fma.f64 1/12 (.f64 (sqrt.f64 x) (pow.f64 y 4)) (.f64 2 (sqrt.f64 x))))
(-.f64 (.f64 (sqrt.f64 x) (+.f64 2 (.f64 1/12 (pow.f64 y 4)))) (.f64 (sqrt.f64 x) (.f64 y y)))
(.f64 (sqrt.f64 x) (-.f64 (fma.f64 1/12 (pow.f64 y 4) 2) (.f64 y y)))
(+.f64 (.f64 -1/360 (.f64 (pow.f64 y 6) (sqrt.f64 x))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/12 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))))
(fma.f64 -1/360 (.f64 (sqrt.f64 x) (pow.f64 y 6)) (fma.f64 -1 (.f64 (sqrt.f64 x) (.f64 y y)) (fma.f64 1/12 (.f64 (sqrt.f64 x) (pow.f64 y 4)) (*.f64 2 (sqrt.f64 x)))))
(+.f64 (.f64 (sqrt.f64 x) (+.f64 2 (.f64 1/12 (pow.f64 y 4)))) (.f64 (sqrt.f64 x) (+.f64 (.f64 -1/360 (pow.f64 y 6)) (neg.f64 (*.f64 y y)))))
(.f64 (sqrt.f64 x) (+.f64 (fma.f64 1/12 (pow.f64 y 4) 2) (-.f64 (.f64 -1/360 (pow.f64 y 6)) (*.f64 y y))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 -1/360 (pow.f64 y 6)) (-.f64 (fma.f64 1/12 (pow.f64 y 4) 2) (*.f64 y y))))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))
(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))
(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))
(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))
(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))
(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))
(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))
(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))
(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
(sqrt.f64 x)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (sqrt.f64 x))
(fma.f64 -1/2 (.f64 (sqrt.f64 x) (.f64 y y)) (sqrt.f64 x))
(fma.f64 (.f64 (sqrt.f64 x) (.f64 y y)) -1/2 (sqrt.f64 x))
(.f64 (sqrt.f64 x) (fma.f64 (.f64 y y) -1/2 1))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (sqrt.f64 x)))
(fma.f64 -1/2 (.f64 (sqrt.f64 x) (.f64 y y)) (fma.f64 1/24 (*.f64 (sqrt.f64 x) (pow.f64 y 4)) (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 y y) -1/2) (.f64 (pow.f64 y 4) 1/24))))
(fma.f64 (sqrt.f64 x) (fma.f64 (.f64 y y) -1/2 (.f64 (pow.f64 y 4) 1/24)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (+.f64 (.f64 (pow.f64 y 4) 1/24) (fma.f64 (*.f64 y y) -1/2 1)))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) (sqrt.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (sqrt.f64 x))))
(fma.f64 -1/720 (.f64 (sqrt.f64 x) (pow.f64 y 6)) (fma.f64 -1/2 (.f64 (sqrt.f64 x) (.f64 y y)) (fma.f64 1/24 (.f64 (sqrt.f64 x) (pow.f64 y 4)) (sqrt.f64 x))))
(+.f64 (fma.f64 (.f64 (pow.f64 y 4) 1/24) (sqrt.f64 x) (sqrt.f64 x)) (.f64 (sqrt.f64 x) (+.f64 (.f64 (pow.f64 y 6) -1/720) (.f64 (*.f64 y y) -1/2))))
(fma.f64 (sqrt.f64 x) (fma.f64 (pow.f64 y 6) -1/720 (.f64 (.f64 y y) -1/2)) (*.f64 (sqrt.f64 x) (fma.f64 (pow.f64 y 4) 1/24 1)))
(.f64 (sqrt.f64 x) (+.f64 (fma.f64 (pow.f64 y 4) 1/24 1) (fma.f64 (pow.f64 y 6) -1/720 (.f64 y (*.f64 y -1/2)))))
(*.f64 (cos.f64 y) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (cos.f64 y))
(*.f64 (cos.f64 y) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (cos.f64 y))
(*.f64 (cos.f64 y) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (cos.f64 y))
(*.f64 (cos.f64 y) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (cos.f64 y))
(*.f64 (cos.f64 y) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (cos.f64 y))
(*.f64 (cos.f64 y) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (cos.f64 y))
(*.f64 (cos.f64 y) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (cos.f64 y))
(*.f64 (cos.f64 y) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (cos.f64 y))
(*.f64 -1/3 (/.f64 a b))
(/.f64 (*.f64 -1/3 a) b)
(/.f64 -1/3 (/.f64 b a))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (sqrt.f64 x) (/.f64 (*.f64 -1/3 a) b))
(fma.f64 2 (sqrt.f64 x) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (sqrt.f64 x) (/.f64 -1/3 (/.f64 b a)))
(-.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x))) (.f64 1/3 (/.f64 a b)))
(+.f64 (fma.f64 -1 (.f64 (sqrt.f64 x) (.f64 y y)) (.f64 2 (sqrt.f64 x))) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 (sqrt.f64 x) (+.f64 (neg.f64 (.f64 y y)) 2)) (/.f64 (*.f64 -1/3 a) b))
(fma.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 (sqrt.f64 x) (-.f64 2 (*.f64 y y)) (/.f64 -1/3 (/.f64 b a)))
(-.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/12 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x)))) (.f64 1/3 (/.f64 a b)))
(+.f64 (fma.f64 -1 (.f64 (sqrt.f64 x) (.f64 y y)) (fma.f64 1/12 (.f64 (sqrt.f64 x) (pow.f64 y 4)) (.f64 2 (sqrt.f64 x)))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 (sqrt.f64 x) (+.f64 (neg.f64 (.f64 y y)) (.f64 1/12 (pow.f64 y 4)))) (fma.f64 2 (sqrt.f64 x) (/.f64 (.f64 -1/3 a) b)))
(fma.f64 -1/3 (/.f64 a b) (.f64 (sqrt.f64 x) (-.f64 (fma.f64 1/12 (pow.f64 y 4) 2) (.f64 y y))))
(fma.f64 (sqrt.f64 x) (-.f64 (fma.f64 1/12 (pow.f64 y 4) 2) (.f64 y y)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 (sqrt.f64 x) (-.f64 (fma.f64 1/12 (pow.f64 y 4) 2) (*.f64 y y)) (/.f64 -1/3 (/.f64 b a)))
(-.f64 (+.f64 (.f64 -1/360 (.f64 (pow.f64 y 6) (sqrt.f64 x))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/12 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x))))) (.f64 1/3 (/.f64 a b)))
(+.f64 (fma.f64 -1/360 (.f64 (sqrt.f64 x) (pow.f64 y 6)) (fma.f64 -1 (.f64 (sqrt.f64 x) (.f64 y y)) (fma.f64 1/12 (.f64 (sqrt.f64 x) (pow.f64 y 4)) (.f64 2 (sqrt.f64 x))))) (.f64 -1/3 (/.f64 a b)))
(+.f64 (+.f64 (.f64 (sqrt.f64 x) (+.f64 2 (.f64 1/12 (pow.f64 y 4)))) (.f64 (sqrt.f64 x) (+.f64 (.f64 -1/360 (pow.f64 y 6)) (neg.f64 (.f64 y y))))) (/.f64 (.f64 -1/3 a) b))
(fma.f64 -1/3 (/.f64 a b) (.f64 (sqrt.f64 x) (+.f64 (fma.f64 1/12 (pow.f64 y 4) 2) (-.f64 (.f64 -1/360 (pow.f64 y 6)) (*.f64 y y)))))
(fma.f64 (sqrt.f64 x) (+.f64 (.f64 -1/360 (pow.f64 y 6)) (-.f64 (fma.f64 1/12 (pow.f64 y 4) 2) (.f64 y y))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 (sqrt.f64 x) (+.f64 (.f64 -1/360 (pow.f64 y 6)) (-.f64 (fma.f64 1/12 (pow.f64 y 4) 2) (.f64 y y))) (/.f64 -1/3 (/.f64 b a)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (.f64 -1/3 a) b))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 -1/3 (/.f64 b a)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (.f64 -1/3 a) b))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 -1/3 (/.f64 b a)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (.f64 -1/3 a) b))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 -1/3 (/.f64 b a)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (.f64 -1/3 a) b))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 -1/3 (/.f64 b a)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (.f64 -1/3 a) b))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 -1/3 (/.f64 b a)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (.f64 -1/3 a) b))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 -1/3 (/.f64 b a)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (.f64 -1/3 a) b))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 -1/3 (/.f64 b a)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (.f64 -1/3 a) b))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 -1/3 (/.f64 b a)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))
(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (.f64 -1/3 a) b))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 -1/3 (/.f64 b a)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (.f64 -1/3 a) b))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 -1/3 (/.f64 b a)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (.f64 -1/3 a) b))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 -1/3 (/.f64 b a)))
(*.f64 -1/3 (/.f64 a b))
(/.f64 (*.f64 -1/3 a) b)
(/.f64 -1/3 (/.f64 b a))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (.f64 -1/3 a) b))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 -1/3 (/.f64 b a)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (.f64 -1/3 a) b))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 -1/3 (/.f64 b a)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (.f64 -1/3 a) b))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 -1/3 (/.f64 b a)))
(*.f64 -1/3 (/.f64 a b))
(/.f64 (*.f64 -1/3 a) b)
(/.f64 -1/3 (/.f64 b a))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (.f64 -1/3 a) b))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 -1/3 (/.f64 b a)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (.f64 -1/3 a) b))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 -1/3 (/.f64 b a)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (.f64 -1/3 a) b))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 -1/3 (/.f64 b a)))
(*.f64 -1/3 (/.f64 a b))
(/.f64 (*.f64 -1/3 a) b)
(/.f64 -1/3 (/.f64 b a))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (.f64 -1/3 a) b))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 -1/3 (/.f64 b a)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (.f64 -1/3 a) b))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 -1/3 (/.f64 b a)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (.f64 -1/3 a) b))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 -1/3 (/.f64 b a)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))
(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (.f64 -1/3 a) b))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 -1/3 (/.f64 b a)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (.f64 -1/3 a) b))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 -1/3 (/.f64 b a)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (.f64 -1/3 a) b))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 -1/3 (/.f64 b a)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))
(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (.f64 -1/3 a) b))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 -1/3 (/.f64 b a)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (.f64 -1/3 a) b))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 -1/3 (/.f64 b a)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (.f64 -1/3 a) b))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 -1/3 (/.f64 b a)))

localize52.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 a (*.f64 b 3))
	0.3b	(*.f64 1/3 t)
✓	20.8b	(cos.f64 (.f64 z (pow.f64 (pow.f64 (.f64 1/3 t) 3) 1/3)))
✓	41.2b	(pow.f64 (pow.f64 (*.f64 1/3 t) 3) 1/3)

Compiler

Compiled 98 to 70 computations (28.6% saved)

series8.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	t	@	0	(pow.f64 (pow.f64 (*.f64 1/3 t) 3) 1/3)
2.0ms	t	@	-inf	(pow.f64 (pow.f64 (*.f64 1/3 t) 3) 1/3)
1.0ms	t	@	inf	(pow.f64 (pow.f64 (*.f64 1/3 t) 3) 1/3)
0.0ms	z	@	0	(cos.f64 (.f64 z (pow.f64 (pow.f64 (.f64 1/3 t) 3) 1/3)))
0.0ms	t	@	0	(cos.f64 (.f64 z (pow.f64 (pow.f64 (.f64 1/3 t) 3) 1/3)))

rewrite109.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

825×	`pow1_binary64`
772×	`add-log-exp_binary64`
772×	`log1p-expm1-u_binary64`
772×	`expm1-log1p-u_binary64`
753×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	219	13
2	2193	13

Stop Event

1×	node limit

Counts

2 → 39

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (*.f64 1/3 t) 3) 1/3)
(cos.f64 (.f64 z (pow.f64 (pow.f64 (.f64 1/3 t) 3) 1/3)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/3 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 t)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 t 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/3 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 t) 2) (*.f64 (cbrt.f64 t) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/3 t)) (pow.f64 (cbrt.f64 (*.f64 1/3 t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/3 t)) (pow.f64 (*.f64 1/9 (*.f64 t t)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 t)) 2) (cbrt.f64 (*.f64 1/3 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 t) (*.f64 (sqrt.f64 t) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/3 t)) (sqrt.f64 (*.f64 1/3 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 1/9 (*.f64 t t)) 1/3) (cbrt.f64 (*.f64 1/3 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 1/3 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/27 1/3) t)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 1/3 t) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 1/3 t) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (sqrt.f64 t)) (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) t))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/27 (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 t)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 t)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cos.f64 (*.f64 1/3 (*.f64 t z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 1/3 (*.f64 t z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (*.f64 1/3 (*.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (*.f64 1/3 (*.f64 t z)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/3 (*.f64 t z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/3 (*.f64 t z)))) 2) (cbrt.f64 (cos.f64 (*.f64 1/3 (*.f64 t z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (*.f64 1/3 (*.f64 t z)))) (sqrt.f64 (cos.f64 (*.f64 1/3 (*.f64 t z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 1/3 (*.f64 t z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (*.f64 1/3 (*.f64 t z))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/3 (*.f64 t z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/3 (*.f64 t z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/3 (*.f64 t z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (*.f64 1/3 (*.f64 t z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/3 (*.f64 t z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (*.f64 1/3 (*.f64 t z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/3 (*.f64 t z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (*.f64 1/3 (*.f64 t z)))))))))

simplify215.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1086×	`fma-def_binary64`
454×	`unsub-neg_binary64`
383×	`*-commutative_binary64`
382×	`fma-neg_binary64`
366×	`unswap-sqr_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	44	424
1	113	412
2	305	408
3	1214	404
4	3010	392
5	3895	386
6	4666	368
7	5329	368
8	6565	368
9	7910	368

Stop Event

1×	node limit

Counts

75 → 52

Calls

Call 1

Inputs
(*.f64 1/3 t)
(*.f64 1/3 t)
(*.f64 1/3 t)
(*.f64 1/3 t)
(*.f64 1/3 t)
(*.f64 1/3 t)
(*.f64 1/3 t)
(*.f64 1/3 t)
(.f64 -1 (.f64 t (cbrt.f64 -1/27)))
(.f64 -1 (.f64 t (cbrt.f64 -1/27)))
(.f64 -1 (.f64 t (cbrt.f64 -1/27)))
(.f64 -1 (.f64 t (cbrt.f64 -1/27)))
1
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2)))))
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(cos.f64 (.f64 (pow.f64 1/27 1/3) (.f64 t z)))
(cos.f64 (.f64 (pow.f64 1/27 1/3) (.f64 t z)))
(cos.f64 (.f64 (pow.f64 1/27 1/3) (.f64 t z)))
(cos.f64 (.f64 (pow.f64 1/27 1/3) (.f64 t z)))
(cos.f64 (.f64 (pow.f64 1/27 1/3) (.f64 t z)))
(cos.f64 (.f64 (pow.f64 1/27 1/3) (.f64 t z)))
(cos.f64 (.f64 (pow.f64 1/27 1/3) (.f64 t z)))
(cos.f64 (.f64 (pow.f64 1/27 1/3) (.f64 t z)))
1
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2)))))
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(cos.f64 (.f64 (pow.f64 1/27 1/3) (.f64 t z)))
(cos.f64 (.f64 (pow.f64 1/27 1/3) (.f64 t z)))
(cos.f64 (.f64 (pow.f64 1/27 1/3) (.f64 t z)))
(cos.f64 (.f64 (pow.f64 1/27 1/3) (.f64 t z)))
(cos.f64 (.f64 -1 (.f64 (*.f64 t z) (pow.f64 -1/27 1/3))))
(cos.f64 (.f64 -1 (.f64 (*.f64 t z) (pow.f64 -1/27 1/3))))
(cos.f64 (.f64 -1 (.f64 (*.f64 t z) (pow.f64 -1/27 1/3))))
(cos.f64 (.f64 -1 (.f64 (*.f64 t z) (pow.f64 -1/27 1/3))))

Outputs
(*.f64 1/3 t)
(*.f64 1/3 t)
(*.f64 1/3 t)
(*.f64 1/3 t)
(*.f64 1/3 t)
(*.f64 1/3 t)
(*.f64 1/3 t)
(*.f64 1/3 t)
(.f64 -1 (.f64 t (cbrt.f64 -1/27)))
(neg.f64 (*.f64 t (cbrt.f64 -1/27)))
(*.f64 (cbrt.f64 -1/27) (neg.f64 t))
(*.f64 t (neg.f64 (cbrt.f64 -1/27)))
(.f64 -1 (.f64 t (cbrt.f64 -1/27)))
(neg.f64 (*.f64 t (cbrt.f64 -1/27)))
(*.f64 (cbrt.f64 -1/27) (neg.f64 t))
(*.f64 t (neg.f64 (cbrt.f64 -1/27)))
(.f64 -1 (.f64 t (cbrt.f64 -1/27)))
(neg.f64 (*.f64 t (cbrt.f64 -1/27)))
(*.f64 (cbrt.f64 -1/27) (neg.f64 t))
(*.f64 t (neg.f64 (cbrt.f64 -1/27)))
(.f64 -1 (.f64 t (cbrt.f64 -1/27)))
(neg.f64 (*.f64 t (cbrt.f64 -1/27)))
(*.f64 (cbrt.f64 -1/27) (neg.f64 t))
(*.f64 t (neg.f64 (cbrt.f64 -1/27)))
1
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 1 (.f64 -1/18 (.f64 (.f64 t t) (.f64 z z))))
(fma.f64 -1/18 (.f64 t (.f64 t (*.f64 z z))) 1)
(fma.f64 (.f64 t t) (.f64 -1/18 (*.f64 z z)) 1)
(fma.f64 t (.f64 -1/18 (.f64 t (*.f64 z z))) 1)
(fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1)
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2)))))
(+.f64 1 (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (.f64 -1/18 (.f64 (.f64 t t) (*.f64 z z)))))
(+.f64 1 (fma.f64 -1/18 (.f64 t (.f64 t (.f64 z z))) (.f64 (pow.f64 t 4) (*.f64 (pow.f64 z 4) 1/1944))))
(fma.f64 (.f64 t t) (.f64 -1/18 (.f64 z z)) (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) 1))
(fma.f64 t (.f64 -1/18 (.f64 t (.f64 z z))) (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) 1))
(fma.f64 t (.f64 -1/18 (.f64 t (.f64 z z))) (fma.f64 1/1944 (pow.f64 (.f64 t z) 4) 1))
(fma.f64 -1/18 (pow.f64 (.f64 t z) 2) (fma.f64 1/1944 (pow.f64 (.f64 t z) 4) 1))
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(+.f64 1 (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (fma.f64 -1/18 (.f64 (.f64 t t) (.f64 z z)) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(+.f64 1 (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (fma.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6)) (.f64 (.f64 -1/18 (.f64 z z)) (.f64 t t)))))
(+.f64 1 (fma.f64 -1/18 (.f64 t (.f64 t (.f64 z z))) (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(fma.f64 t (.f64 -1/18 (.f64 t (.f64 z z))) (fma.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6)) (fma.f64 1/1944 (*.f64 (pow.f64 t 4) (pow.f64 z 4)) 1)))
(fma.f64 t (.f64 -1/18 (.f64 t (.f64 z z))) (fma.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6)) (fma.f64 1/1944 (pow.f64 (*.f64 t z) 4) 1)))
(fma.f64 t (.f64 -1/18 (.f64 t (.f64 z z))) (fma.f64 -1/524880 (pow.f64 (.f64 t z) 6) (fma.f64 1/1944 (pow.f64 (*.f64 t z) 4) 1)))
(fma.f64 -1/18 (pow.f64 (.f64 t z) 2) (fma.f64 -1/524880 (pow.f64 (.f64 t z) 6) (fma.f64 1/1944 (pow.f64 (*.f64 t z) 4) 1)))
(cos.f64 (.f64 (pow.f64 1/27 1/3) (.f64 t z)))
(cos.f64 (.f64 (cbrt.f64 1/27) (.f64 t z)))
(cos.f64 (.f64 t (.f64 z (cbrt.f64 1/27))))
(cos.f64 (.f64 z (.f64 t (cbrt.f64 1/27))))
(cos.f64 (.f64 (pow.f64 1/27 1/3) (.f64 t z)))
(cos.f64 (.f64 (cbrt.f64 1/27) (.f64 t z)))
(cos.f64 (.f64 t (.f64 z (cbrt.f64 1/27))))
(cos.f64 (.f64 z (.f64 t (cbrt.f64 1/27))))
(cos.f64 (.f64 (pow.f64 1/27 1/3) (.f64 t z)))
(cos.f64 (.f64 (cbrt.f64 1/27) (.f64 t z)))
(cos.f64 (.f64 t (.f64 z (cbrt.f64 1/27))))
(cos.f64 (.f64 z (.f64 t (cbrt.f64 1/27))))
(cos.f64 (.f64 (pow.f64 1/27 1/3) (.f64 t z)))
(cos.f64 (.f64 (cbrt.f64 1/27) (.f64 t z)))
(cos.f64 (.f64 t (.f64 z (cbrt.f64 1/27))))
(cos.f64 (.f64 z (.f64 t (cbrt.f64 1/27))))
(cos.f64 (.f64 (pow.f64 1/27 1/3) (.f64 t z)))
(cos.f64 (.f64 (cbrt.f64 1/27) (.f64 t z)))
(cos.f64 (.f64 t (.f64 z (cbrt.f64 1/27))))
(cos.f64 (.f64 z (.f64 t (cbrt.f64 1/27))))
(cos.f64 (.f64 (pow.f64 1/27 1/3) (.f64 t z)))
(cos.f64 (.f64 (cbrt.f64 1/27) (.f64 t z)))
(cos.f64 (.f64 t (.f64 z (cbrt.f64 1/27))))
(cos.f64 (.f64 z (.f64 t (cbrt.f64 1/27))))
(cos.f64 (.f64 (pow.f64 1/27 1/3) (.f64 t z)))
(cos.f64 (.f64 (cbrt.f64 1/27) (.f64 t z)))
(cos.f64 (.f64 t (.f64 z (cbrt.f64 1/27))))
(cos.f64 (.f64 z (.f64 t (cbrt.f64 1/27))))
(cos.f64 (.f64 (pow.f64 1/27 1/3) (.f64 t z)))
(cos.f64 (.f64 (cbrt.f64 1/27) (.f64 t z)))
(cos.f64 (.f64 t (.f64 z (cbrt.f64 1/27))))
(cos.f64 (.f64 z (.f64 t (cbrt.f64 1/27))))
1
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 1 (.f64 -1/18 (.f64 (.f64 t t) (.f64 z z))))
(fma.f64 -1/18 (.f64 t (.f64 t (*.f64 z z))) 1)
(fma.f64 (.f64 t t) (.f64 -1/18 (*.f64 z z)) 1)
(fma.f64 t (.f64 -1/18 (.f64 t (*.f64 z z))) 1)
(fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1)
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2)))))
(+.f64 1 (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (.f64 -1/18 (.f64 (.f64 t t) (*.f64 z z)))))
(+.f64 1 (fma.f64 -1/18 (.f64 t (.f64 t (.f64 z z))) (.f64 (pow.f64 t 4) (*.f64 (pow.f64 z 4) 1/1944))))
(fma.f64 (.f64 t t) (.f64 -1/18 (.f64 z z)) (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) 1))
(fma.f64 t (.f64 -1/18 (.f64 t (.f64 z z))) (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) 1))
(fma.f64 t (.f64 -1/18 (.f64 t (.f64 z z))) (fma.f64 1/1944 (pow.f64 (.f64 t z) 4) 1))
(fma.f64 -1/18 (pow.f64 (.f64 t z) 2) (fma.f64 1/1944 (pow.f64 (.f64 t z) 4) 1))
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(+.f64 1 (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (fma.f64 -1/18 (.f64 (.f64 t t) (.f64 z z)) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(+.f64 1 (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (fma.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6)) (.f64 (.f64 -1/18 (.f64 z z)) (.f64 t t)))))
(+.f64 1 (fma.f64 -1/18 (.f64 t (.f64 t (.f64 z z))) (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(fma.f64 t (.f64 -1/18 (.f64 t (.f64 z z))) (fma.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6)) (fma.f64 1/1944 (*.f64 (pow.f64 t 4) (pow.f64 z 4)) 1)))
(fma.f64 t (.f64 -1/18 (.f64 t (.f64 z z))) (fma.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6)) (fma.f64 1/1944 (pow.f64 (*.f64 t z) 4) 1)))
(fma.f64 t (.f64 -1/18 (.f64 t (.f64 z z))) (fma.f64 -1/524880 (pow.f64 (.f64 t z) 6) (fma.f64 1/1944 (pow.f64 (*.f64 t z) 4) 1)))
(fma.f64 -1/18 (pow.f64 (.f64 t z) 2) (fma.f64 -1/524880 (pow.f64 (.f64 t z) 6) (fma.f64 1/1944 (pow.f64 (*.f64 t z) 4) 1)))
(cos.f64 (.f64 (pow.f64 1/27 1/3) (.f64 t z)))
(cos.f64 (.f64 (cbrt.f64 1/27) (.f64 t z)))
(cos.f64 (.f64 t (.f64 z (cbrt.f64 1/27))))
(cos.f64 (.f64 z (.f64 t (cbrt.f64 1/27))))
(cos.f64 (.f64 (pow.f64 1/27 1/3) (.f64 t z)))
(cos.f64 (.f64 (cbrt.f64 1/27) (.f64 t z)))
(cos.f64 (.f64 t (.f64 z (cbrt.f64 1/27))))
(cos.f64 (.f64 z (.f64 t (cbrt.f64 1/27))))
(cos.f64 (.f64 (pow.f64 1/27 1/3) (.f64 t z)))
(cos.f64 (.f64 (cbrt.f64 1/27) (.f64 t z)))
(cos.f64 (.f64 t (.f64 z (cbrt.f64 1/27))))
(cos.f64 (.f64 z (.f64 t (cbrt.f64 1/27))))
(cos.f64 (.f64 (pow.f64 1/27 1/3) (.f64 t z)))
(cos.f64 (.f64 (cbrt.f64 1/27) (.f64 t z)))
(cos.f64 (.f64 t (.f64 z (cbrt.f64 1/27))))
(cos.f64 (.f64 z (.f64 t (cbrt.f64 1/27))))
(cos.f64 (.f64 -1 (.f64 (*.f64 t z) (pow.f64 -1/27 1/3))))
(cos.f64 (neg.f64 (.f64 (.f64 t z) (cbrt.f64 -1/27))))
(cos.f64 (.f64 (.f64 t z) (cbrt.f64 -1/27)))
(cos.f64 (.f64 t (.f64 z (cbrt.f64 -1/27))))
(cos.f64 (.f64 -1 (.f64 (*.f64 t z) (pow.f64 -1/27 1/3))))
(cos.f64 (neg.f64 (.f64 (.f64 t z) (cbrt.f64 -1/27))))
(cos.f64 (.f64 (.f64 t z) (cbrt.f64 -1/27)))
(cos.f64 (.f64 t (.f64 z (cbrt.f64 -1/27))))
(cos.f64 (.f64 -1 (.f64 (*.f64 t z) (pow.f64 -1/27 1/3))))
(cos.f64 (neg.f64 (.f64 (.f64 t z) (cbrt.f64 -1/27))))
(cos.f64 (.f64 (.f64 t z) (cbrt.f64 -1/27)))
(cos.f64 (.f64 t (.f64 z (cbrt.f64 -1/27))))
(cos.f64 (.f64 -1 (.f64 (*.f64 t z) (pow.f64 -1/27 1/3))))
(cos.f64 (neg.f64 (.f64 (.f64 t z) (cbrt.f64 -1/27))))
(cos.f64 (.f64 (.f64 t z) (cbrt.f64 -1/27)))
(cos.f64 (.f64 t (.f64 z (cbrt.f64 -1/27))))

localize67.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 t 1/3)
✓	0.4b	(pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2)
✓	20.3b	(cbrt.f64 (.f64 z (.f64 t 1/3)))
✓	22.5b	(cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2) (cbrt.f64 (.f64 z (*.f64 t 1/3))))))

Compiler

Compiled 153 to 104 computations (32% saved)

series16.0ms (0.1%)

Counts

4 → 48

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	z	@	0	(pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2)
1.0ms	y	@	0	(cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2) (cbrt.f64 (.f64 z (*.f64 t 1/3))))))
1.0ms	z	@	-inf	(pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2)
1.0ms	z	@	-inf	(cbrt.f64 (.f64 z (.f64 t 1/3)))
1.0ms	z	@	0	(cbrt.f64 (.f64 z (.f64 t 1/3)))

rewrite108.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

622×	`log-prod_binary64`
400×	`pow-prod-down_binary64`
329×	`pow2_binary64`
283×	`fma-def_binary64`
228×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	37
1	287	37
2	3377	35

Stop Event

1×	node limit

Counts

4 → 121

Calls

Call 1

Inputs
(cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2) (cbrt.f64 (.f64 z (*.f64 t 1/3))))))
(cbrt.f64 (.f64 z (.f64 t 1/3)))
(pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2)
(*.f64 t 1/3)

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (.f64 z (.f64 t 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 z (.f64 t 1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (.f64 z (.f64 t 1/3)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (.f64 z (.f64 t 1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (.f64 z (.f64 t 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (.f64 z (.f64 t 1/3)))) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 t 1/3)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 z) (cbrt.f64 (.f64 t 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2)) (cbrt.f64 (cbrt.f64 (.f64 z (.f64 t 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 z (.f64 t 1/3)) 1/6) (pow.f64 (.f64 z (.f64 t 1/3)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 z t)) (cbrt.f64 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (.f64 t 1/3)))) 4)) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 z (.f64 t 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 z (.f64 t 1/3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (.f64 z t) 2) 1/9) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (.f64 z t) 3) 1/27) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (.f64 t 1/3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 z (.f64 t 1/3))) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 z (.f64 t 1/3)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (.f64 z (.f64 t 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (.f64 z (.f64 t 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (.f64 z (.f64 t 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (.f64 z (.f64 t 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 z (.f64 t 1/3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 z (*.f64 t 1/3))) 1/3))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) (cbrt.f64 (.f64 z (.f64 t 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 z) (.f64 (cbrt.f64 (.f64 t 1/3)) (cbrt.f64 (.f64 z (.f64 t 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 z z)) (cbrt.f64 (.f64 1/9 (.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (.f64 t 1/3)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (.f64 t 1/3)))) 4) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 z (.f64 t 1/3))) (pow.f64 (.f64 z (.f64 t 1/3)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 z (.f64 t 1/3)) 1/6) (sqrt.f64 (.f64 z (.f64 t 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2))) (cbrt.f64 (cbrt.f64 (.f64 z (.f64 t 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) (cbrt.f64 z)) (cbrt.f64 (.f64 t 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 z t) 2) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2/3 (log.f64 (.f64 z (.f64 t 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2/3 (log.f64 (.f64 z (.f64 t 1/3)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 t 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 t))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 t)))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 t 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 t 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/9 (.f64 t t)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 t 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 t 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 t 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 1/9 (.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (cbrt.f64 (exp.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 t 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 t 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 t 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 t 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 t 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 t 1/3)) 1))))))

simplify73.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

639×	`fma-neg_binary64`
533×	`unswap-sqr_binary64`
525×	`distribute-lft-out_binary64`
386×	`cancel-sign-sub-inv_binary64`
349×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	62	689
1	186	614
2	538	593
3	2218	585
4	4448	585

Stop Event

1×	node limit

Counts

169 → 142

Calls

Call 1

Inputs
(cos.f64 (neg.f64 (.f64 1/3 (.f64 t z))))
(+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) y)) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) y)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z))))))
(+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) y)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))) (+.f64 (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) (.f64 1/6 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) (pow.f64 y 3))))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (neg.f64 (+.f64 (.f64 1/3 (.f64 t z)) (*.f64 -1 y))))
(cos.f64 (neg.f64 (+.f64 (.f64 1/3 (.f64 t z)) (*.f64 -1 y))))
(cos.f64 (neg.f64 (+.f64 (.f64 1/3 (.f64 t z)) (*.f64 -1 y))))
(cos.f64 (neg.f64 (+.f64 (.f64 1/3 (.f64 t z)) (*.f64 -1 y))))
(cos.f64 y)
(+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))
(+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))))
(+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y)))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 y)
(+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (+.f64 (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (pow.f64 z 2) (cos.f64 y))))))
(+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y)))) (+.f64 (cos.f64 y) (+.f64 (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 -1/18 (.f64 (pow.f64 t 2) (*.f64 (pow.f64 z 2) (cos.f64 y)))))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(*.f64 1/3 t)
(*.f64 1/3 t)
(*.f64 1/3 t)
(*.f64 1/3 t)
(*.f64 1/3 t)
(*.f64 1/3 t)
(*.f64 1/3 t)
(*.f64 1/3 t)
(*.f64 1/3 t)
(*.f64 1/3 t)
(*.f64 1/3 t)
(*.f64 1/3 t)

Outputs
(cos.f64 (neg.f64 (.f64 1/3 (.f64 t z))))
(cos.f64 (.f64 1/3 (.f64 t z)))
(+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) y)) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))
(fma.f64 -1 (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) y) (cos.f64 (.f64 1/3 (*.f64 t z))))
(-.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (.f64 (sin.f64 (.f64 (*.f64 t z) -1/3)) y))
(fma.f64 y (sin.f64 (.f64 1/3 (.f64 t z))) (cos.f64 (.f64 1/3 (.f64 t z))))
(+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) y)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z))))))
(fma.f64 -1 (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) y) (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (.f64 y y)) (cos.f64 (.f64 1/3 (*.f64 t z)))))
(-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 y y)) 1) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 (sin.f64 (.f64 (.f64 t z) -1/3)) y))
(fma.f64 (fma.f64 -1/2 (.f64 y y) 1) (cos.f64 (.f64 1/3 (.f64 t z))) (.f64 y (sin.f64 (.f64 1/3 (.f64 t z)))))
(fma.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (fma.f64 -1/2 (.f64 y y) 1) (.f64 y (sin.f64 (.f64 1/3 (.f64 t z)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) y)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))) (+.f64 (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) (.f64 1/6 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) (pow.f64 y 3))))))
(fma.f64 -1 (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) y) (+.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (.f64 y y)) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 1/6 (.f64 (sin.f64 (.f64 -1/3 (*.f64 t z))) (pow.f64 y 3)))))
(+.f64 (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 y y)) 1) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 (sin.f64 (.f64 (.f64 t z) -1/3)) y)) (.f64 (sin.f64 (.f64 (.f64 t z) -1/3)) (.f64 (pow.f64 y 3) 1/6)))
(fma.f64 (fma.f64 -1/2 (.f64 y y) 1) (cos.f64 (.f64 1/3 (.f64 t z))) (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (+.f64 (*.f64 1/6 (pow.f64 y 3)) (neg.f64 y))))
(fma.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (fma.f64 -1/2 (.f64 y y) 1) (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (-.f64 (*.f64 1/6 (pow.f64 y 3)) y)))
(fma.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (fma.f64 -1/2 (.f64 y y) 1) (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (fma.f64 1/6 (pow.f64 y 3) (neg.f64 y))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t -1/3) z y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t -1/3) z y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t -1/3) z y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t -1/3) z y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (neg.f64 (+.f64 (.f64 1/3 (.f64 t z)) (*.f64 -1 y))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t -1/3) z y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (neg.f64 (+.f64 (.f64 1/3 (.f64 t z)) (*.f64 -1 y))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t -1/3) z y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (neg.f64 (+.f64 (.f64 1/3 (.f64 t z)) (*.f64 -1 y))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t -1/3) z y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (neg.f64 (+.f64 (.f64 1/3 (.f64 t z)) (*.f64 -1 y))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t -1/3) z y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 y)
(+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))
(fma.f64 1/3 (.f64 z (.f64 (sin.f64 y) t)) (cos.f64 y))
(fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (cos.f64 y))
(fma.f64 (.f64 t z) (.f64 1/3 (sin.f64 y)) (cos.f64 y))
(+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))))
(+.f64 (cos.f64 y) (fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (.f64 (.f64 -1/18 (.f64 t t)) (.f64 (cos.f64 y) (*.f64 z z)))))
(fma.f64 -1/18 (.f64 (cos.f64 y) (.f64 t (.f64 t (.f64 z z)))) (fma.f64 1/3 (.f64 z (.f64 (sin.f64 y) t)) (cos.f64 y)))
(fma.f64 (.f64 t z) (.f64 1/3 (sin.f64 y)) (.f64 (+.f64 (.f64 -1/18 (.f64 (.f64 t z) (*.f64 t z))) 1) (cos.f64 y)))
(+.f64 (cos.f64 y) (.f64 (.f64 t z) (+.f64 (.f64 1/3 (sin.f64 y)) (.f64 (.f64 t z) (.f64 (cos.f64 y) -1/18)))))
(+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y)))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(fma.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (sin.f64 y) (pow.f64 z 3))) (+.f64 (cos.f64 y) (fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (.f64 (.f64 -1/18 (.f64 t t)) (.f64 (cos.f64 y) (*.f64 z z))))))
(fma.f64 -1/162 (.f64 (sin.f64 y) (.f64 (pow.f64 t 3) (pow.f64 z 3))) (fma.f64 -1/18 (.f64 (cos.f64 y) (.f64 t (.f64 t (.f64 z z)))) (fma.f64 1/3 (.f64 z (.f64 (sin.f64 y) t)) (cos.f64 y))))
(+.f64 (.f64 (+.f64 (.f64 -1/18 (.f64 (.f64 t z) (.f64 t z))) 1) (cos.f64 y)) (.f64 (sin.f64 y) (+.f64 (.f64 1/3 (.f64 t z)) (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))))))
(+.f64 (cos.f64 y) (fma.f64 -1/162 (.f64 (sin.f64 y) (.f64 (pow.f64 t 3) (pow.f64 z 3))) (.f64 (.f64 t z) (+.f64 (.f64 1/3 (sin.f64 y)) (.f64 (.f64 t z) (.f64 (cos.f64 y) -1/18))))))
(+.f64 (.f64 (.f64 t z) (+.f64 (.f64 1/3 (sin.f64 y)) (.f64 (.f64 t z) (.f64 (cos.f64 y) -1/18)))) (fma.f64 (pow.f64 t 3) (.f64 (sin.f64 y) (.f64 (pow.f64 z 3) -1/162)) (cos.f64 y)))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t -1/3) z y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t -1/3) z y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t -1/3) z y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t -1/3) z y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t -1/3) z y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t -1/3) z y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t -1/3) z y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t -1/3) z y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 y)
(+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))
(fma.f64 1/3 (.f64 z (.f64 (sin.f64 y) t)) (cos.f64 y))
(fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (cos.f64 y))
(fma.f64 (.f64 t z) (.f64 1/3 (sin.f64 y)) (cos.f64 y))
(+.f64 (cos.f64 y) (+.f64 (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (pow.f64 z 2) (cos.f64 y))))))
(+.f64 (cos.f64 y) (fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (.f64 (.f64 -1/18 (.f64 t t)) (.f64 (cos.f64 y) (*.f64 z z)))))
(fma.f64 -1/18 (.f64 (cos.f64 y) (.f64 t (.f64 t (.f64 z z)))) (fma.f64 1/3 (.f64 z (.f64 (sin.f64 y) t)) (cos.f64 y)))
(fma.f64 (.f64 t z) (.f64 1/3 (sin.f64 y)) (.f64 (+.f64 (.f64 -1/18 (.f64 (.f64 t z) (*.f64 t z))) 1) (cos.f64 y)))
(+.f64 (cos.f64 y) (.f64 (.f64 t z) (+.f64 (.f64 1/3 (sin.f64 y)) (.f64 (.f64 t z) (.f64 (cos.f64 y) -1/18)))))
(+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y)))) (+.f64 (cos.f64 y) (+.f64 (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 -1/18 (.f64 (pow.f64 t 2) (*.f64 (pow.f64 z 2) (cos.f64 y)))))))
(fma.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (sin.f64 y) (pow.f64 z 3))) (+.f64 (cos.f64 y) (fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (.f64 (.f64 -1/18 (.f64 t t)) (.f64 (cos.f64 y) (*.f64 z z))))))
(fma.f64 -1/162 (.f64 (sin.f64 y) (.f64 (pow.f64 t 3) (pow.f64 z 3))) (fma.f64 -1/18 (.f64 (cos.f64 y) (.f64 t (.f64 t (.f64 z z)))) (fma.f64 1/3 (.f64 z (.f64 (sin.f64 y) t)) (cos.f64 y))))
(+.f64 (.f64 (+.f64 (.f64 -1/18 (.f64 (.f64 t z) (.f64 t z))) 1) (cos.f64 y)) (.f64 (sin.f64 y) (+.f64 (.f64 1/3 (.f64 t z)) (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))))))
(+.f64 (cos.f64 y) (fma.f64 -1/162 (.f64 (sin.f64 y) (.f64 (pow.f64 t 3) (pow.f64 z 3))) (.f64 (.f64 t z) (+.f64 (.f64 1/3 (sin.f64 y)) (.f64 (.f64 t z) (.f64 (cos.f64 y) -1/18))))))
(+.f64 (.f64 (.f64 t z) (+.f64 (.f64 1/3 (sin.f64 y)) (.f64 (.f64 t z) (.f64 (cos.f64 y) -1/18)))) (fma.f64 (pow.f64 t 3) (.f64 (sin.f64 y) (.f64 (pow.f64 z 3) -1/162)) (cos.f64 y)))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t -1/3) z y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t -1/3) z y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t -1/3) z y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t -1/3) z y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t -1/3) z y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t -1/3) z y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t -1/3) z y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t -1/3) z y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(*.f64 1/3 t)
(*.f64 1/3 t)
(*.f64 1/3 t)
(*.f64 1/3 t)
(*.f64 1/3 t)
(*.f64 1/3 t)
(*.f64 1/3 t)
(*.f64 1/3 t)
(*.f64 1/3 t)
(*.f64 1/3 t)
(*.f64 1/3 t)
(*.f64 1/3 t)

eval871.0ms (3.7%)

Compiler: Compiled 21564 to 13803 computations (36% saved)

prune517.0ms (2.2%)

Pruning

107 alts after pruning (100 fresh and 7 done)

	Pruned	Kept	Total
New	776	53	829
Fresh	22	47	69
Picked	0	1	1
Done	1	6	7
Total	799	107	906

Error

11.3b

Counts

906 → 107

Alt Table

Click to see full alt table

Status	Error	Program
	28.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (cbrt.f64 (.f64 1/3 t)) 3)))) (/.f64 a (*.f64 b 3)))
	35.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (pow.f64 (sqrt.f64 (.f64 1/9 (.f64 t t))) 3) 1/3)))) (/.f64 a (.f64 b 3)))
	18.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (.f64 (exp.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 (/.f64 t 3) z)))) (exp.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (/.f64 t 3) z))))))) (/.f64 a (.f64 b 3)))
	61.2b	(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (/.f64 1/3 b))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (/.f64 1/3 b)))))))
	20.7b	(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2))) (/.f64 a (*.f64 b 3)))
✓	38.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (pow.f64 (.f64 1/3 t) 3) 1/3)))) (/.f64 a (*.f64 b 3)))
	36.4b	(/.f64 (*.f64 -1/3 a) b)
	14.7b	(fma.f64 (.f64 (cos.f64 y) (cbrt.f64 (.f64 x 4))) (cbrt.f64 (sqrt.f64 (.f64 x 4))) (/.f64 (.f64 a -1/3) b))
	18.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 a b) 1/3))
	33.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 (pow.f64 (.f64 1/9 (.f64 t t)) 1/3) (cbrt.f64 (.f64 1/3 t)))))) (/.f64 a (.f64 b 3)))
	14.9b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x)))) 3) (/.f64 a (*.f64 b 3)))
	50.5b	(pow.f64 (sqrt.f64 (*.f64 -1/3 (/.f64 a b))) 2)
	20.6b	(fma.f64 (sqrt.f64 x) (.f64 2 (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))) (/.f64 (.f64 a -1/3) b))
▶	24.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (cbrt.f64 (pow.f64 (.f64 (/.f64 t 3) z) 3))))) (/.f64 a (.f64 b 3)))
	18.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (-.f64 y (.f64 (/.f64 t 3) z)))))) (/.f64 a (.f64 b 3)))
	18.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2)) 3/2) 2) (cbrt.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (.f64 b 3)))
	36.4b	(/.f64 1 (/.f64 b (*.f64 -1/3 a)))
	18.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2)) 3/2))))) (/.f64 a (.f64 b 3)))
	24.6b	(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x 4)) (.f64 (/.f64 (.f64 a -1/3) b) (/.f64 (.f64 a -1/3) b))) (-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (/.f64 (.f64 a -1/3) b)))
	36.8b	(pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 3)
	28.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 (pow.f64 (cbrt.f64 (.f64 1/3 t)) 2) (cbrt.f64 (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
▶	14.7b	(-.f64 (.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y))) (/.f64 a (.f64 b 3)))
	18.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (.f64 t 1/3)))) 3) 2) (cbrt.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (.f64 b 3)))
	20.6b	(-.f64 (.f64 (sqrt.f64 x) (fma.f64 2 (cos.f64 y) (.f64 (.f64 z (sin.f64 y)) (.f64 t 2/3)))) (/.f64 a (*.f64 b 3)))
✓	36.4b	(*.f64 -1/3 (/.f64 a b))
	36.4b	(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 a (*.f64 b 3)))
✓	28.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 1/3 t)))) (/.f64 a (*.f64 b 3)))
	28.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 1/3 t))) 3))) (/.f64 a (*.f64 b 3)))
	24.7b	(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 (-.f64 y (.f64 (/.f64 t 3) z))) 2))) (/.f64 a (.f64 b 3)))
	43.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (pow.f64 (exp.f64 (log.f64 (.f64 1/3 t))) 3) 1/3)))) (/.f64 a (*.f64 b 3)))
	18.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 1/3 (/.f64 t (/.f64 1 z)))))) (/.f64 a (.f64 b 3)))
	18.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 y (.f64 (/.f64 t 3) z)))) 3)) (/.f64 a (.f64 b 3)))
	18.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) 2) (pow.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) 2)) (cos.f64 (fma.f64 z (.f64 t 1/3) y)))) (/.f64 a (.f64 b 3)))
	40.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (pow.f64 (pow.f64 (.f64 z (.f64 1/3 t)) 3) 1/3))) (/.f64 a (*.f64 b 3)))
	56.5b	(pow.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3) 1/3)
	40.7b	(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 a b))) 1)
✓	18.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (/.f64 (/.f64 3 z) t) -1)))) (/.f64 a (*.f64 b 3)))
	28.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (.f64 z 1/3)))) (/.f64 a (*.f64 b 3)))
✓	18.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2) (cbrt.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (.f64 b 3)))
	18.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 3 (.f64 z t))) 2)) (cbrt.f64 (/.f64 3 (.f64 z t))))))) (/.f64 a (*.f64 b 3)))
	18.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 t 3) z)))) (/.f64 a (.f64 b 3)))
	36.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (exp.f64 (log.f64 (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
	36.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (exp.f64 (.f64 2/3 (log.f64 (.f64 z (.f64 t 1/3))))) (cbrt.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
	28.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 (.f64 z (.f64 1/3 t))) 3))) (/.f64 a (*.f64 b 3)))
	28.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z)))) (/.f64 a (*.f64 b 3)))
	18.9b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (-.f64 y (.f64 (/.f64 t 3) z))) (.f64 2 (sqrt.f64 x)))) 3) (/.f64 a (.f64 b 3)))
	36.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (sqrt.f64 (.f64 (/.f64 t 3) z)) (sqrt.f64 (.f64 (/.f64 t 3) z)))))) (/.f64 a (.f64 b 3)))
	28.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 (pow.f64 (cbrt.f64 t) 2) (.f64 (cbrt.f64 t) 1/3))))) (/.f64 a (.f64 b 3)))
	61.0b	(log.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))))
	24.3b	(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 (/.f64 a 3) b) 1))
	38.5b	(-.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 (-.f64 y (.f64 (/.f64 t 3) z))) (.f64 2 (sqrt.f64 x))) 3) 1/3) (/.f64 a (.f64 b 3)))
	18.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (/.f64 t 3) (/.f64 1 z))))) (/.f64 a (*.f64 b 3)))
	29.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2) (cbrt.f64 (.f64 z (pow.f64 (pow.f64 (.f64 t 1/3) 3) 1/3))))))) (/.f64 a (.f64 b 3)))
	37.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (-.f64 y (.f64 (/.f64 t 3) z))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (-.f64 y (.f64 (/.f64 t 3) z))))) (sin.f64 1)))) (/.f64 a (*.f64 b 3)))
	18.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2)) (cbrt.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))))) 2) (cbrt.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
	23.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2) (pow.f64 (.f64 (pow.f64 (.f64 z t) 2) 1/9) 1/6))))) (/.f64 a (.f64 b 3)))
	20.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))))) (/.f64 a (.f64 b 3)))
	18.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (cbrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
	52.9b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (pow.f64 (exp.f64 1) (log.f64 (.f64 t -1/3))) y))) (/.f64 (*.f64 a -1/3) b))
	19.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 a 3) b)) 3))
	18.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z (expm1.f64 (log1p.f64 (.f64 t 1/3))))) 2) (cbrt.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (.f64 b 3)))
	18.9b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x)))) 3) (/.f64 a (.f64 b 3)))
	19.0b	(fma.f64 (sqrt.f64 x) (.f64 2 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))))) (/.f64 (.f64 a -1/3) b))
	28.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))))) (/.f64 a (*.f64 b 3)))
	19.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 a 3) b)) 2) (cbrt.f64 (/.f64 (/.f64 a 3) b))))
	18.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2) (cbrt.f64 (.f64 z (expm1.f64 (log1p.f64 (.f64 t 1/3))))))))) (/.f64 a (.f64 b 3)))
▶	28.3b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (.f64 z (.f64 t -1/3)))) (/.f64 (.f64 a -1/3) b))
	36.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (pow.f64 (.f64 z (.f64 t 1/3)) 1/3) 2) (cbrt.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (.f64 b 3)))
✓	28.4b	(-.f64 (exp.f64 (log.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) (/.f64 a (*.f64 b 3)))
	18.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))))) (/.f64 a (*.f64 b 3)))
	28.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 z (.f64 1/3 t)))) 3)) (/.f64 a (*.f64 b 3)))
	28.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 2))) (/.f64 a (*.f64 b 3)))
	18.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 (/.f64 t 3) z))) (.f64 (cos.f64 y) (cos.f64 (.f64 (/.f64 t 3) z))))) (/.f64 a (*.f64 b 3)))
	35.5b	(pow.f64 (sqrt.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))) 2)
	24.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (sqrt.f64 (pow.f64 (expm1.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))) 2)))) (/.f64 a (.f64 b 3)))
✓	14.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
	35.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (cbrt.f64 (pow.f64 (.f64 1/3 t) 3))))) (/.f64 a (*.f64 b 3)))
	28.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 (pow.f64 1/27 1/3) (.f64 t z)))) (/.f64 a (*.f64 b 3)))
	28.9b	(-.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x))))) 2)) (cbrt.f64 (log.f64 (.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x)))))) (/.f64 a (*.f64 b 3)))
	15.3b	(pow.f64 (cbrt.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))) 3)
	18.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 t 1/3)) (cbrt.f64 z)) 2) (cbrt.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (.f64 b 3)))
	25.1b	(-.f64 (exp.f64 (log.f64 (.f64 2 (sqrt.f64 x)))) (/.f64 a (.f64 b 3)))
	48.1b	(expm1.f64 (log1p.f64 (*.f64 -1/3 (/.f64 a b))))
	18.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (cos.f64 (fma.f64 -1/3 (.f64 z t) (.f64 z (.f64 t 1/3))))) (.f64 (sin.f64 (fma.f64 (.f64 z t) -1/3 y)) (sin.f64 (fma.f64 -1/3 (.f64 z t) (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
	36.8b	(/.f64 (/.f64 (*.f64 -1/3 a) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))
	36.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2) (exp.f64 (.f64 (log.f64 (.f64 z (.f64 t 1/3))) 1/3)))))) (/.f64 a (*.f64 b 3)))
	49.4b	(-.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x)))))) (sqrt.f64 (log.f64 (.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x)))))) (/.f64 a (*.f64 b 3)))
	18.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 3 z)) 2)) (/.f64 t (cbrt.f64 (/.f64 3 z))))))) (/.f64 a (.f64 b 3)))
	46.9b	(pow.f64 (pow.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 3) 1/3)
	18.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)))) 3))) (/.f64 a (.f64 b 3)))
	24.3b	(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
	42.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (exp.f64 (log.f64 (.f64 z (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
	50.6b	(cbrt.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3))
	40.6b	(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
	14.6b	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 (sqrt.f64 (.f64 x 4)))) (sqrt.f64 (sqrt.f64 (.f64 x 4))) (/.f64 (.f64 a -1/3) b))
	24.4b	(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
	38.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 1/3 t)) 3) 3) 1/3)))) (/.f64 a (*.f64 b 3)))
	28.5b	(-.f64 (pow.f64 (exp.f64 1) (log.f64 (.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x))))) (/.f64 a (*.f64 b 3)))
▶	36.4b	(/.f64 -1/3 (/.f64 b a))
	14.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (-.f64 (exp.f64 (cos.f64 y)) 1))) (/.f64 a (*.f64 b 3)))
▶	14.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (.f64 (pow.f64 (.f64 (/.f64 3 a) b) -1) 1))
	17.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (cos.f64 (fma.f64 (neg.f64 (.f64 t 1/3)) z (.f64 z (.f64 t 1/3))))) (.f64 (sin.f64 (fma.f64 (.f64 z t) -1/3 y)) (sin.f64 (fma.f64 (neg.f64 (.f64 t 1/3)) z (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
	36.4b	(/.f64 a (/.f64 b -1/3))
	28.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 (pow.f64 1/27 1/3) t)))) (/.f64 a (*.f64 b 3)))
	18.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 (-.f64 y (.f64 (/.f64 t 3) z))) 3))) (/.f64 a (.f64 b 3)))
	36.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2) (pow.f64 (pow.f64 (.f64 z (.f64 t 1/3)) 1/6) 2))))) (/.f64 a (.f64 b 3)))
	61.1b	(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (/.f64 1/3 b)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (/.f64 1/3 b)))))))

Compiler

Compiled 5793 to 4527 computations (21.9% saved)

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (.f64 (pow.f64 (.f64 (/.f64 3 a) b) -1) 1))
	0.2b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
✓	0.3b	(*.f64 (/.f64 3 a) b)
✓	0.8b	(pow.f64 (*.f64 (/.f64 3 a) b) -1)

Compiler

Compiled 70 to 45 computations (35.7% saved)

series11.0ms (0%)

Counts

3 → 85

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(pow.f64 (*.f64 (/.f64 3 a) b) -1)
1.0ms	b	@	0	(pow.f64 (*.f64 (/.f64 3 a) b) -1)
1.0ms	b	@	-inf	(pow.f64 (*.f64 (/.f64 3 a) b) -1)
1.0ms	a	@	-inf	(pow.f64 (*.f64 (/.f64 3 a) b) -1)
1.0ms	a	@	inf	(pow.f64 (*.f64 (/.f64 3 a) b) -1)

rewrite237.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

827×	`log-prod_binary64`
431×	`fma-def_binary64`
300×	`expm1-udef_binary64`
300×	`log1p-udef_binary64`
254×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	40
1	389	34
2	4526	34

Stop Event

1×	node limit

Counts

3 → 225

Calls

Call 1

Inputs
(pow.f64 (*.f64 (/.f64 3 a) b) -1)
(*.f64 (/.f64 3 a) b)
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (.f64 (pow.f64 (.f64 (/.f64 3 a) b) -1) 1))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 a 1/3) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 a 1/3) b))) (cbrt.f64 (exp.f64 (/.f64 (*.f64 a 1/3) b))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 a 1/3) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 a 1/3) b)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 a 1/3) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 a 1/3) b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 a 1/3) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a 1/3) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 a 1/3) b)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 a 1/3) b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 a 1/3) b)) 2) (cbrt.f64 (/.f64 (*.f64 a 1/3) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (*.f64 a 1/3) b)) (sqrt.f64 (/.f64 (*.f64 a 1/3) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 b) (*.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a 1/3) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a 1/3) (*.f64 (/.f64 1 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 3 a) b)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 (/.f64 3 a) b)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 3 a) b)) -1) (pow.f64 (sqrt.f64 (*.f64 (/.f64 3 a) b)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 3 b)) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (*.f64 (/.f64 3 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 3 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (/.f64 3 a) b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (*.f64 a 1/3) b)) (sqrt.f64 (*.f64 (/.f64 3 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 b) (/.f64 3 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a 1/3) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (/.f64 3 a) b)) 2)) (cbrt.f64 (*.f64 (/.f64 3 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 3 a) b) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 a 1/3) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 a 1/3) b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 3 a) b) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 a 1/3) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 a 1/3) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 a 1/3) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a 1/3) b)) 1))))))

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(/.f64 (*.f64 a 1/3) b))) (-.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y)))) (sqrt.f64 (/.f64 (*.f64 a 1/3) b))) (fma.f64 (neg.f64 (/.f64 1 b)) (*.f64 a 1/3) (/.f64 (*.f64 a 1/3) b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y)))) (sqrt.f64 (/.f64 (*.f64 a 1/3) b))) (-.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y)))) (sqrt.f64 (/.f64 (*.f64 a 1/3) b))) (*.f64 (fma.f64 -1 (/.f64 (*.f64 a 1/3) b) (/.f64 (*.f64 a 1/3) b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y)))) (sqrt.f64 (/.f64 (*.f64 a 1/3) b))) (-.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y)))) (sqrt.f64 (/.f64 (*.f64 a 1/3) b))) (+.f64 (fma.f64 -1 (/.f64 (*.f64 a 1/3) b) (/.f64 (*.f64 a 1/3) b)) (fma.f64 -1 (/.f64 (*.f64 a 1/3) b) (/.f64 (*.f64 a 1/3) b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 a 1/3) b)) 2)) (cbrt.f64 (/.f64 (*.f64 a 1/3) b)) (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)) (neg.f64 (/.f64 (*.f64 a 1/3) b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)) (fma.f64 -1 (/.f64 (*.f64 a 1/3) b) (fma.f64 -1 (/.f64 (*.f64 a 1/3) b) (/.f64 (*.f64 a 1/3) b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)) (neg.f64 (-.f64 (/.f64 (*.f64 a 1/3) b) (fma.f64 -1 (/.f64 (*.f64 a 1/3) b) (/.f64 (*.f64 a 1/3) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (neg.f64 (/.f64 (*.f64 a 1/3) b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (fma.f64 -1 (/.f64 (*.f64 a 1/3) b) (fma.f64 -1 (/.f64 (*.f64 a 1/3) b) (/.f64 (*.f64 a 1/3) b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (neg.f64 (-.f64 (/.f64 (*.f64 a 1/3) b) (fma.f64 -1 (/.f64 (*.f64 a 1/3) b) (/.f64 (*.f64 a 1/3) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 y) 2) (sqrt.f64 x) (neg.f64 (/.f64 (*.f64 a 1/3) b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 y) 2) (sqrt.f64 x) (fma.f64 -1 (/.f64 (*.f64 a 1/3) b) (fma.f64 -1 (/.f64 (*.f64 a 1/3) b) (/.f64 (*.f64 a 1/3) b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 y) 2) (sqrt.f64 x) (neg.f64 (-.f64 (/.f64 (*.f64 a 1/3) b) (fma.f64 -1 (/.f64 (*.f64 a 1/3) b) (/.f64 (*.f64 a 1/3) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 y) (cbrt.f64 (*.f64 x 4))) (cbrt.f64 (*.f64 2 (sqrt.f64 x))) (neg.f64 (/.f64 (*.f64 a 1/3) b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 y) (cbrt.f64 (*.f64 x 4))) (cbrt.f64 (*.f64 2 (sqrt.f64 x))) (fma.f64 -1 (/.f64 (*.f64 a 1/3) b) (fma.f64 -1 (/.f64 (*.f64 a 1/3) b) (/.f64 (*.f64 a 1/3) b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 y) (cbrt.f64 (*.f64 x 4))) (cbrt.f64 (*.f64 2 (sqrt.f64 x))) (neg.f64 (-.f64 (/.f64 (*.f64 a 1/3) b) (fma.f64 -1 (/.f64 (*.f64 a 1/3) b) (/.f64 (*.f64 a 1/3) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 (*.f64 2 (sqrt.f64 x)))) (sqrt.f64 (*.f64 2 (sqrt.f64 x))) (neg.f64 (/.f64 (*.f64 a 1/3) b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 (*.f64 2 (sqrt.f64 x)))) (sqrt.f64 (*.f64 2 (sqrt.f64 x))) (fma.f64 -1 (/.f64 (*.f64 a 1/3) b) (fma.f64 -1 (/.f64 (*.f64 a 1/3) b) (/.f64 (*.f64 a 1/3) b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 (*.f64 2 (sqrt.f64 x)))) (sqrt.f64 (*.f64 2 (sqrt.f64 x))) (neg.f64 (-.f64 (/.f64 (*.f64 a 1/3) b) (fma.f64 -1 (/.f64 (*.f64 a 1/3) b) (/.f64 (*.f64 a 1/3) b)))))))))

simplify84.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

902×	`fma-def_binary64`
490×	`distribute-rgt-neg-in_binary64`
447×	`distribute-lft-neg-in_binary64`
366×	`associate-l_binary64`
322×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	43	997
1	111	982
2	292	958
3	964	956
4	4092	956

Stop Event

1×	node limit

Counts

310 → 244

Calls

Call 1

Inputs
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 3 (/.f64 b a))
(*.f64 3 (/.f64 b a))
(*.f64 3 (/.f64 b a))
(*.f64 3 (/.f64 b a))
(*.f64 3 (/.f64 b a))
(*.f64 3 (/.f64 b a))
(*.f64 3 (/.f64 b a))
(*.f64 3 (/.f64 b a))
(*.f64 3 (/.f64 b a))
(*.f64 3 (/.f64 b a))
(*.f64 3 (/.f64 b a))
(*.f64 3 (/.f64 b a))
(*.f64 3 (/.f64 b a))
(*.f64 3 (/.f64 b a))
(*.f64 3 (/.f64 b a))
(*.f64 3 (/.f64 b a))
(*.f64 3 (/.f64 b a))
(*.f64 3 (/.f64 b a))
(*.f64 3 (/.f64 b a))
(*.f64 3 (/.f64 b a))
(*.f64 3 (/.f64 b a))
(*.f64 3 (/.f64 b a))
(*.f64 3 (/.f64 b a))
(*.f64 3 (/.f64 b a))
(*.f64 -1/3 (/.f64 a b))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
(-.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x))) (.f64 1/3 (/.f64 a b)))
(-.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/12 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x)))) (.f64 1/3 (/.f64 a b)))
(-.f64 (+.f64 (.f64 -1/360 (.f64 (pow.f64 y 6) (sqrt.f64 x))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/12 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x))))) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(*.f64 -1/3 (/.f64 a b))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(*.f64 -1/3 (/.f64 a b))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(*.f64 -1/3 (/.f64 a b))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))

Outputs
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(*.f64 1/3 (/.f64 a b))
(*.f64 a (/.f64 1/3 b))
(*.f64 3 (/.f64 b a))
(*.f64 b (/.f64 3 a))
(*.f64 3 (/.f64 b a))
(*.f64 b (/.f64 3 a))
(*.f64 3 (/.f64 b a))
(*.f64 b (/.f64 3 a))
(*.f64 3 (/.f64 b a))
(*.f64 b (/.f64 3 a))
(*.f64 3 (/.f64 b a))
(*.f64 b (/.f64 3 a))
(*.f64 3 (/.f64 b a))
(*.f64 b (/.f64 3 a))
(*.f64 3 (/.f64 b a))
(*.f64 b (/.f64 3 a))
(*.f64 3 (/.f64 b a))
(*.f64 b (/.f64 3 a))
(*.f64 3 (/.f64 b a))
(*.f64 b (/.f64 3 a))
(*.f64 3 (/.f64 b a))
(*.f64 b (/.f64 3 a))
(*.f64 3 (/.f64 b a))
(*.f64 b (/.f64 3 a))
(*.f64 3 (/.f64 b a))
(*.f64 b (/.f64 3 a))
(*.f64 3 (/.f64 b a))
(*.f64 b (/.f64 3 a))
(*.f64 3 (/.f64 b a))
(*.f64 b (/.f64 3 a))
(*.f64 3 (/.f64 b a))
(*.f64 b (/.f64 3 a))
(*.f64 3 (/.f64 b a))
(*.f64 b (/.f64 3 a))
(*.f64 3 (/.f64 b a))
(*.f64 b (/.f64 3 a))
(*.f64 3 (/.f64 b a))
(*.f64 b (/.f64 3 a))
(*.f64 3 (/.f64 b a))
(*.f64 b (/.f64 3 a))
(*.f64 3 (/.f64 b a))
(*.f64 b (/.f64 3 a))
(*.f64 3 (/.f64 b a))
(*.f64 b (/.f64 3 a))
(*.f64 3 (/.f64 b a))
(*.f64 b (/.f64 3 a))
(*.f64 3 (/.f64 b a))
(*.f64 b (/.f64 3 a))
(*.f64 3 (/.f64 b a))
(*.f64 b (/.f64 3 a))
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 a b) -1/3)
(/.f64 (*.f64 a -1/3) b)
(*.f64 a (/.f64 -1/3 b))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
(fma.f64 2 (sqrt.f64 x) (*.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (*.f64 2 (sqrt.f64 x)))
(fma.f64 2 (sqrt.f64 x) (*.f64 a (/.f64 -1/3 b)))
(-.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x))) (.f64 1/3 (/.f64 a b)))
(+.f64 (fma.f64 -1 (.f64 (sqrt.f64 x) (.f64 y y)) (.f64 2 (sqrt.f64 x))) (.f64 (/.f64 a b) -1/3))
(+.f64 (.f64 (/.f64 a b) -1/3) (.f64 (sqrt.f64 x) (+.f64 2 (neg.f64 (*.f64 y y)))))
(fma.f64 (/.f64 a b) -1/3 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))))
(-.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/12 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x)))) (.f64 1/3 (/.f64 a b)))
(+.f64 (fma.f64 -1 (.f64 (sqrt.f64 x) (.f64 y y)) (fma.f64 1/12 (.f64 (sqrt.f64 x) (pow.f64 y 4)) (.f64 2 (sqrt.f64 x)))) (*.f64 (/.f64 a b) -1/3))
(+.f64 (.f64 (/.f64 a b) -1/3) (-.f64 (.f64 (sqrt.f64 x) (+.f64 2 (.f64 1/12 (pow.f64 y 4)))) (.f64 (sqrt.f64 x) (*.f64 y y))))
(fma.f64 (/.f64 a b) -1/3 (.f64 (sqrt.f64 x) (-.f64 (fma.f64 1/12 (pow.f64 y 4) 2) (.f64 y y))))
(fma.f64 (/.f64 a b) -1/3 (.f64 (sqrt.f64 x) (fma.f64 1/12 (pow.f64 y 4) (-.f64 2 (.f64 y y)))))
(-.f64 (+.f64 (.f64 -1/360 (.f64 (pow.f64 y 6) (sqrt.f64 x))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/12 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x))))) (.f64 1/3 (/.f64 a b)))
(+.f64 (fma.f64 -1/360 (.f64 (sqrt.f64 x) (pow.f64 y 6)) (fma.f64 -1 (.f64 (sqrt.f64 x) (.f64 y y)) (fma.f64 1/12 (.f64 (sqrt.f64 x) (pow.f64 y 4)) (.f64 2 (sqrt.f64 x))))) (.f64 (/.f64 a b) -1/3))
(+.f64 (.f64 (/.f64 a b) -1/3) (+.f64 (.f64 (sqrt.f64 x) (+.f64 2 (.f64 1/12 (pow.f64 y 4)))) (.f64 (sqrt.f64 x) (+.f64 (.f64 -1/360 (pow.f64 y 6)) (neg.f64 (.f64 y y))))))
(fma.f64 (/.f64 a b) -1/3 (.f64 (sqrt.f64 x) (+.f64 (fma.f64 1/12 (pow.f64 y 4) 2) (fma.f64 -1/360 (pow.f64 y 6) (neg.f64 (.f64 y y))))))
(fma.f64 (sqrt.f64 x) (-.f64 (fma.f64 -1/360 (pow.f64 y 6) (fma.f64 1/12 (pow.f64 y 4) 2)) (.f64 y y)) (.f64 a (/.f64 -1/3 b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 -1/3 b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 -1/3 b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 -1/3 b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 -1/3 b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 -1/3 b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 -1/3 b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 -1/3 b)))
(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 -1/3 b)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 -1/3 b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 -1/3 b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 -1/3 b)))
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 a b) -1/3)
(/.f64 (*.f64 a -1/3) b)
(*.f64 a (/.f64 -1/3 b))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 -1/3 b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 -1/3 b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 -1/3 b)))
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 a b) -1/3)
(/.f64 (*.f64 a -1/3) b)
(*.f64 a (/.f64 -1/3 b))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 -1/3 b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 -1/3 b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 -1/3 b)))
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 a b) -1/3)
(/.f64 (*.f64 a -1/3) b)
(*.f64 a (/.f64 -1/3 b))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 -1/3 b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 -1/3 b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 -1/3 b)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 -1/3 b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 -1/3 b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 -1/3 b)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 -1/3 b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 -1/3 b)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 -1/3 b)))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.8b	(/.f64 -1/3 (/.f64 b a))

Compiler

Compiled 17 to 10 computations (41.2% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	b	@	0	(/.f64 -1/3 (/.f64 b a))
0.0ms	b	@	-inf	(/.f64 -1/3 (/.f64 b a))
0.0ms	a	@	-inf	(/.f64 -1/3 (/.f64 b a))
0.0ms	b	@	inf	(/.f64 -1/3 (/.f64 b a))
0.0ms	a	@	inf	(/.f64 -1/3 (/.f64 b a))

rewrite139.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

699×	`pow1_binary64`
653×	`add-log-exp_binary64`
653×	`log1p-expm1-u_binary64`
653×	`expm1-log1p-u_binary64`
640×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	134	7
2	1771	7

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

Inputs
(/.f64 -1/3 (/.f64 b a))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/3 (/.f64 a b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (/.f64 -1/3 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/3 (/.f64 a b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -1/3 (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) (pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 2) (cbrt.f64 (*.f64 -1/3 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -1/3 (/.f64 a b))) (sqrt.f64 (*.f64 -1/3 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 1 (/.f64 (neg.f64 b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a b) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/3 b) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/3 (neg.f64 b)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1/3 b) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1/3 b) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1/3 b) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/3 (/.f64 a b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/3 (/.f64 a b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 b a) -3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/9 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/3) (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/3 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/3 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/3 (/.f64 a b))))))))

simplify18.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
1×	`associate-*r/_binary64`
1×	`associate-*l/_binary64`
1×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	9	168
2	13	168
3	17	168
4	18	168

Stop Event

1×

saturated

Counts

50 → 26

Calls

Call 1

Inputs
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))

Outputs
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 (*.f64 a -1/3) b)
	0.3b	(*.f64 t -1/3)
	0.3b	(*.f64 a -1/3)
✓	26.2b	(cos.f64 (.f64 z (.f64 t -1/3)))

Compiler

Compiled 61 to 39 computations (36.1% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(cos.f64 (.f64 z (.f64 t -1/3)))
0.0ms	t	@	0	(cos.f64 (.f64 z (.f64 t -1/3)))
0.0ms	z	@	inf	(cos.f64 (.f64 z (.f64 t -1/3)))
0.0ms	z	@	-inf	(cos.f64 (.f64 z (.f64 t -1/3)))
0.0ms	t	@	inf	(cos.f64 (.f64 z (.f64 t -1/3)))

rewrite49.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

652×	`pow1_binary64`
600×	`add-log-exp_binary64`
600×	`log1p-expm1-u_binary64`
600×	`expm1-log1p-u_binary64`
587×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	140	9
2	1624	9

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

Inputs
(cos.f64 (.f64 z (.f64 t -1/3)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cos.f64 (*.f64 z (*.f64 t -1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 z (*.f64 t -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (*.f64 z (*.f64 t -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (*.f64 z (*.f64 t -1/3)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 z (*.f64 t -1/3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 z (*.f64 t -1/3)))) 2) (cbrt.f64 (cos.f64 (*.f64 z (*.f64 t -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (*.f64 z (*.f64 t -1/3)))) (sqrt.f64 (cos.f64 (*.f64 z (*.f64 t -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 z (*.f64 t -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (*.f64 z (*.f64 t -1/3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (*.f64 z (*.f64 t -1/3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (*.f64 z (*.f64 t -1/3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (*.f64 z (*.f64 t -1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (*.f64 z (*.f64 t -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (*.f64 z (*.f64 t -1/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (*.f64 z (*.f64 t -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (*.f64 z (*.f64 t -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (*.f64 z (*.f64 t -1/3)))))))))

simplify219.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1130×	`sqr-pow_binary64`
989×	`fma-def_binary64`
598×	`pow-sqr_binary64`
481×	`cube-prod_binary64`
429×	`fabs-mul_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	32	320
1	79	316
2	209	312
3	874	308
4	2172	296
5	2681	290
6	2992	272
7	3217	272
8	3461	272
9	3781	272
10	4209	272
11	4733	272
12	5366	272
13	5628	272
14	5846	272
15	6014	272
16	6156	272
17	6270	272
18	7055	272
19	7923	272

Stop Event

1×	node limit

Counts

40 → 25

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2)))))
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
1
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2)))))
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 -1/3 (.f64 t z)))

Outputs
1
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 1 (.f64 -1/18 (.f64 (.f64 t t) (.f64 z z))))
(fma.f64 -1/18 (.f64 (.f64 t t) (*.f64 z z)) 1)
(fma.f64 -1/18 (.f64 t (.f64 t (*.f64 z z))) 1)
(fma.f64 (.f64 (.f64 t t) z) (*.f64 -1/18 z) 1)
(fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1)
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2)))))
(+.f64 1 (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (.f64 -1/18 (.f64 (.f64 t t) (*.f64 z z)))))
(+.f64 1 (fma.f64 -1/18 (.f64 (.f64 t t) (.f64 z z)) (.f64 1/1944 (*.f64 (pow.f64 t 4) (pow.f64 z 4)))))
(fma.f64 (pow.f64 t 4) (.f64 1/1944 (pow.f64 z 4)) (fma.f64 -1/18 (.f64 t (.f64 t (.f64 z z))) 1))
(fma.f64 (pow.f64 t 4) (.f64 1/1944 (pow.f64 z 4)) (fma.f64 (.f64 (.f64 t t) z) (.f64 -1/18 z) 1))
(fma.f64 -1/18 (.f64 t (.f64 t (.f64 z z))) (fma.f64 1/1944 (pow.f64 (.f64 t z) 4) 1))
(fma.f64 -1/18 (pow.f64 (.f64 t z) 2) (fma.f64 1/1944 (pow.f64 (.f64 t z) 4) 1))
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(+.f64 1 (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (fma.f64 -1/18 (.f64 (.f64 t t) (.f64 z z)) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(+.f64 1 (fma.f64 -1/18 (.f64 t (.f64 t (.f64 z z))) (fma.f64 (pow.f64 t 4) (.f64 1/1944 (pow.f64 z 4)) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(fma.f64 (.f64 z z) (fma.f64 (.f64 z z) (.f64 1/1944 (pow.f64 t 4)) (.f64 -1/18 (.f64 t t))) (fma.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6)) 1))
(fma.f64 1/1944 (pow.f64 (.f64 t z) 4) (fma.f64 t (.f64 (.f64 z z) (.f64 -1/18 t)) (fma.f64 -1/524880 (*.f64 (pow.f64 t 6) (pow.f64 z 6)) 1)))
(fma.f64 1/1944 (pow.f64 (.f64 t z) 4) (fma.f64 t (.f64 (.f64 z z) (.f64 -1/18 t)) (fma.f64 -1/524880 (pow.f64 (*.f64 t z) 6) 1)))
(fma.f64 (pow.f64 (.f64 t z) 2) (fma.f64 (pow.f64 (.f64 t z) 2) 1/1944 -1/18) (fma.f64 -1/524880 (pow.f64 (*.f64 t z) 6) 1))
(fma.f64 -1/18 (pow.f64 (.f64 t z) 2) (fma.f64 1/1944 (pow.f64 (.f64 t z) 4) (fma.f64 -1/524880 (pow.f64 (*.f64 t z) 6) 1)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z -1/3)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z -1/3)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z -1/3)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z -1/3)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z -1/3)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z -1/3)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z -1/3)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z -1/3)))
1
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 1 (.f64 -1/18 (.f64 (.f64 t t) (.f64 z z))))
(fma.f64 -1/18 (.f64 (.f64 t t) (*.f64 z z)) 1)
(fma.f64 -1/18 (.f64 t (.f64 t (*.f64 z z))) 1)
(fma.f64 (.f64 (.f64 t t) z) (*.f64 -1/18 z) 1)
(fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1)
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2)))))
(+.f64 1 (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (.f64 -1/18 (.f64 (.f64 t t) (*.f64 z z)))))
(+.f64 1 (fma.f64 -1/18 (.f64 (.f64 t t) (.f64 z z)) (.f64 1/1944 (*.f64 (pow.f64 t 4) (pow.f64 z 4)))))
(fma.f64 (pow.f64 t 4) (.f64 1/1944 (pow.f64 z 4)) (fma.f64 -1/18 (.f64 t (.f64 t (.f64 z z))) 1))
(fma.f64 (pow.f64 t 4) (.f64 1/1944 (pow.f64 z 4)) (fma.f64 (.f64 (.f64 t t) z) (.f64 -1/18 z) 1))
(fma.f64 -1/18 (.f64 t (.f64 t (.f64 z z))) (fma.f64 1/1944 (pow.f64 (.f64 t z) 4) 1))
(fma.f64 -1/18 (pow.f64 (.f64 t z) 2) (fma.f64 1/1944 (pow.f64 (.f64 t z) 4) 1))
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(+.f64 1 (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (fma.f64 -1/18 (.f64 (.f64 t t) (.f64 z z)) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(+.f64 1 (fma.f64 -1/18 (.f64 t (.f64 t (.f64 z z))) (fma.f64 (pow.f64 t 4) (.f64 1/1944 (pow.f64 z 4)) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(fma.f64 (.f64 z z) (fma.f64 (.f64 z z) (.f64 1/1944 (pow.f64 t 4)) (.f64 -1/18 (.f64 t t))) (fma.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6)) 1))
(fma.f64 1/1944 (pow.f64 (.f64 t z) 4) (fma.f64 t (.f64 (.f64 z z) (.f64 -1/18 t)) (fma.f64 -1/524880 (*.f64 (pow.f64 t 6) (pow.f64 z 6)) 1)))
(fma.f64 1/1944 (pow.f64 (.f64 t z) 4) (fma.f64 t (.f64 (.f64 z z) (.f64 -1/18 t)) (fma.f64 -1/524880 (pow.f64 (*.f64 t z) 6) 1)))
(fma.f64 (pow.f64 (.f64 t z) 2) (fma.f64 (pow.f64 (.f64 t z) 2) 1/1944 -1/18) (fma.f64 -1/524880 (pow.f64 (*.f64 t z) 6) 1))
(fma.f64 -1/18 (pow.f64 (.f64 t z) 2) (fma.f64 1/1944 (pow.f64 (.f64 t z) 4) (fma.f64 -1/524880 (pow.f64 (*.f64 t z) 6) 1)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z -1/3)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z -1/3)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z -1/3)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z -1/3)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z -1/3)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z -1/3)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z -1/3)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z -1/3)))

localize115.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 a (*.f64 b 3))
✓	0.2b	(pow.f64 (*.f64 (/.f64 t 3) z) 3)
✓	22.4b	(cos.f64 (-.f64 y (cbrt.f64 (pow.f64 (*.f64 (/.f64 t 3) z) 3))))
✓	22.5b	(cbrt.f64 (pow.f64 (*.f64 (/.f64 t 3) z) 3))

Compiler

Compiled 110 to 73 computations (33.6% saved)

series13.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	t	@	-inf	(cbrt.f64 (pow.f64 (*.f64 (/.f64 t 3) z) 3))
2.0ms	z	@	-inf	(cbrt.f64 (pow.f64 (*.f64 (/.f64 t 3) z) 3))
1.0ms	t	@	inf	(cbrt.f64 (pow.f64 (*.f64 (/.f64 t 3) z) 3))
1.0ms	t	@	0	(pow.f64 (*.f64 (/.f64 t 3) z) 3)
1.0ms	t	@	-inf	(pow.f64 (*.f64 (/.f64 t 3) z) 3)

rewrite79.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

779×	`prod-diff_binary64`
564×	`log-prod_binary64`
324×	`fma-def_binary64`
303×	`pow2_binary64`
208×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	29
1	257	29
2	3169	29

Stop Event

1×	node limit

Counts

3 → 122

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (*.f64 (/.f64 t 3) z) 3))
(cos.f64 (-.f64 y (cbrt.f64 (pow.f64 (*.f64 (/.f64 t 3) z) 3))))
(pow.f64 (*.f64 (/.f64 t 3) z) 3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 t (*.f64 1/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (*.f64 t z)))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (*.f64 t z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (*.f64 t z))))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (*.f64 t z))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 t (*.f64 1/3 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 t (*.f64 1/3 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 t 1/3) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (*.f64 t 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 t (*.f64 1/3 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 t (*.f64 1/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 t (*.f64 1/3 z))) (pow.f64 (cbrt.f64 (*.f64 t (*.f64 1/3 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 t (*.f64 1/3 z))) 2) (cbrt.f64 (*.f64 t (*.f64 1/3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (*.f64 t 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 t 1/3)) 2) (*.f64 (cbrt.f64 (*.f64 t 1/3)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 t (*.f64 1/3 z))) (sqrt.f64 (*.f64 t (*.f64 1/3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (*.f64 t 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 t 1/3)) (*.f64 (sqrt.f64 (*.f64 t 1/3)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 t z) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 t (*.f64 1/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 t 1/3) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 t 1/3) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (pow.f64 (cbrt.f64 (*.f64 t 1/3)) 2)) (cbrt.f64 (*.f64 t 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (sqrt.f64 (*.f64 t 1/3))) (sqrt.f64 (*.f64 t 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 t (/.f64 3 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 3 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 3 (*.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t z) 3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 t z)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 t) z) -3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (neg.f64 t)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 t (*.f64 1/3 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t (*.f64 1/3 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 t (*.f64 1/3 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 t (*.f64 1/3 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 3 (*.f64 t z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (*.f64 t z) 2) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (cbrt.f64 (exp.f64 (*.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 t (*.f64 1/3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 t (*.f64 1/3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 t (*.f64 1/3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 t (*.f64 1/3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 t (*.f64 1/3 z)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 t (*.f64 1/3 z))) 1))))))

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egg-rr> (2) ((x fma.f64 (sin.f64 y) (sin.f64 (*.f64 t (*.f64 1/3 z))) (*.f64 (cos.f64 y) (cos.f64 (*.f64 t (*.f64 1/3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 (*.f64 t (*.f64 1/3 z))) (sin.f64 y) (*.f64 (cos.f64 y) (cos.f64 (*.f64 t (*.f64 1/3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (sin.f64 (*.f64 t (*.f64 1/3 z))))) 2) (cbrt.f64 (*.f64 (sin.f64 y) (sin.f64 (*.f64 t (*.f64 1/3 z))))) (*.f64 (cos.f64 y) (cos.f64 (*.f64 t (*.f64 1/3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 t (*.f64 1/3 z))))) 2) (cbrt.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 t (*.f64 1/3 z))))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 t (*.f64 1/3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) (sin.f64 (*.f64 t (*.f64 1/3 z))))) (sqrt.f64 (*.f64 (sin.f64 y) (sin.f64 (*.f64 t (*.f64 1/3 z))))) (*.f64 (cos.f64 y) (cos.f64 (*.f64 t (*.f64 1/3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 t (*.f64 1/3 z))))) (sqrt.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 t (*.f64 1/3 z))))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 t (*.f64 1/3 z)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (*.f64 t (*.f64 1/3 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 t (*.f64 1/3 z)) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 t (*.f64 1/3 z)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 t (*.f64 1/3 z)) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 t (*.f64 1/3 z)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 t (*.f64 1/3 z)) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 t 1/3) (*.f64 z (/.f64 (pow.f64 (*.f64 t z) 2) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (*.f64 (*.f64 t 1/3) (/.f64 (pow.f64 (*.f64 t z) 2) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 t (*.f64 1/3 z)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 t (*.f64 1/3 z)) (/.f64 (pow.f64 (*.f64 t z) 2) 9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 t (*.f64 1/3 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 t z) 2) 9) (*.f64 t (*.f64 1/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 t (*.f64 1/3 z))) 2) (*.f64 (cbrt.f64 (*.f64 t (*.f64 1/3 z))) (/.f64 (pow.f64 (*.f64 t z) 2) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 t (*.f64 1/3 z))) (*.f64 (sqrt.f64 (*.f64 t (*.f64 1/3 z))) (/.f64 (pow.f64 (*.f64 t z) 2) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 t 3) 1/27) (pow.f64 z 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 z 3) (*.f64 (pow.f64 t 3) 1/27))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 t (*.f64 1/3 z)) 3/2) (pow.f64 (*.f64 t (*.f64 1/3 z)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (pow.f64 (*.f64 t z) 2) 9) (*.f64 t 1/3)) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (pow.f64 (*.f64 t z) 2) 9) z) (*.f64 t 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (pow.f64 (*.f64 t z) 2) 9) 1) (*.f64 t (*.f64 1/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (pow.f64 (*.f64 t z) 2) 9) (pow.f64 (cbrt.f64 (*.f64 t (*.f64 1/3 z))) 2)) (cbrt.f64 (*.f64 t (*.f64 1/3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (pow.f64 (*.f64 t z) 2) 9) (sqrt.f64 (*.f64 t (*.f64 1/3 z)))) (sqrt.f64 (*.f64 t (*.f64 1/3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 t z) 3) 27)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 t z) (/.f64 (pow.f64 (*.f64 t z) 2) 9)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (pow.f64 (*.f64 t z) 2) 9) (*.f64 t z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 t (*.f64 1/3 z)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 t (*.f64 1/3 z)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 t (*.f64 1/3 z)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 t (*.f64 1/3 z)) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 t (*.f64 1/3 z)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 t (*.f64 1/3 z)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (*.f64 t (*.f64 1/3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 t (*.f64 1/3 z)))) 1))))))

simplify85.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

789×	`fma-neg_binary64`
464×	`distribute-rgt-neg-in_binary64`
456×	`associate-l_binary64`
444×	`neg-sub0_binary64`
427×	`neg-mul-1_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	71	1185
1	211	1110
2	638	1073
3	2755	1065
4	5524	1065

Stop Event

1×	node limit

Counts

206 → 149

Calls

Call 1

Inputs
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z)))
(.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z)))
(.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z)))
(.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z)))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z)))
(.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z)))
(.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z)))
(.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z)))
(cos.f64 (neg.f64 (.f64 1/3 (.f64 t z))))
(+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) y)) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) y)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z))))))
(+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) y)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))) (+.f64 (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) (.f64 1/6 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) (pow.f64 y 3))))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (neg.f64 (+.f64 (.f64 1/3 (.f64 t z)) (*.f64 -1 y))))
(cos.f64 (neg.f64 (+.f64 (.f64 1/3 (.f64 t z)) (*.f64 -1 y))))
(cos.f64 (neg.f64 (+.f64 (.f64 1/3 (.f64 t z)) (*.f64 -1 y))))
(cos.f64 (neg.f64 (+.f64 (.f64 1/3 (.f64 t z)) (*.f64 -1 y))))
(cos.f64 y)
(+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (+.f64 (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (pow.f64 z 2) (cos.f64 y))))))
(+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y)))) (+.f64 (cos.f64 y) (+.f64 (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 -1/18 (.f64 (pow.f64 t 2) (*.f64 (pow.f64 z 2) (cos.f64 y)))))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z)))))
(cos.f64 (-.f64 y (.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z)))))
(cos.f64 (-.f64 y (.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z)))))
(cos.f64 (-.f64 y (.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z)))))
(cos.f64 y)
(+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))
(+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))))
(+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y)))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z)))))
(cos.f64 (-.f64 y (.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z)))))
(cos.f64 (-.f64 y (.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z)))))
(cos.f64 (-.f64 y (.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z)))))
(.f64 1/27 (.f64 (pow.f64 t 3) (pow.f64 z 3)))
(.f64 1/27 (.f64 (pow.f64 t 3) (pow.f64 z 3)))
(.f64 1/27 (.f64 (pow.f64 t 3) (pow.f64 z 3)))
(.f64 1/27 (.f64 (pow.f64 t 3) (pow.f64 z 3)))
(.f64 1/27 (.f64 (pow.f64 t 3) (pow.f64 z 3)))
(.f64 1/27 (.f64 (pow.f64 t 3) (pow.f64 z 3)))
(.f64 1/27 (.f64 (pow.f64 t 3) (pow.f64 z 3)))
(.f64 1/27 (.f64 (pow.f64 t 3) (pow.f64 z 3)))
(.f64 1/27 (.f64 (pow.f64 t 3) (pow.f64 z 3)))
(.f64 1/27 (.f64 (pow.f64 t 3) (pow.f64 z 3)))
(.f64 1/27 (.f64 (pow.f64 t 3) (pow.f64 z 3)))
(.f64 1/27 (.f64 (pow.f64 t 3) (pow.f64 z 3)))
(.f64 1/27 (.f64 (pow.f64 t 3) (pow.f64 z 3)))
(.f64 1/27 (.f64 (pow.f64 t 3) (pow.f64 z 3)))
(.f64 1/27 (.f64 (pow.f64 t 3) (pow.f64 z 3)))
(.f64 1/27 (.f64 (pow.f64 t 3) (pow.f64 z 3)))
(.f64 1/27 (.f64 (pow.f64 t 3) (pow.f64 z 3)))
(.f64 1/27 (.f64 (pow.f64 t 3) (pow.f64 z 3)))
(.f64 1/27 (.f64 (pow.f64 t 3) (pow.f64 z 3)))
(.f64 1/27 (.f64 (pow.f64 t 3) (pow.f64 z 3)))
(.f64 1/27 (.f64 (pow.f64 t 3) (pow.f64 z 3)))
(.f64 1/27 (.f64 (pow.f64 t 3) (pow.f64 z 3)))
(.f64 1/27 (.f64 (pow.f64 t 3) (pow.f64 z 3)))
(.f64 1/27 (.f64 (pow.f64 t 3) (pow.f64 z 3)))

Outputs
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 1/3 z))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 1/3 z))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 1/3 z))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 1/3 z))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 1/3 z))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 1/3 z))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 1/3 z))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 1/3 z))
(.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z)))
(neg.f64 (.f64 t (.f64 z (cbrt.f64 -1/27))))
(.f64 t (neg.f64 (.f64 z (cbrt.f64 -1/27))))
(.f64 z (.f64 (cbrt.f64 -1/27) (neg.f64 t)))
(.f64 (.f64 t z) (neg.f64 (cbrt.f64 -1/27)))
(.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z)))
(neg.f64 (.f64 t (.f64 z (cbrt.f64 -1/27))))
(.f64 t (neg.f64 (.f64 z (cbrt.f64 -1/27))))
(.f64 z (.f64 (cbrt.f64 -1/27) (neg.f64 t)))
(.f64 (.f64 t z) (neg.f64 (cbrt.f64 -1/27)))
(.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z)))
(neg.f64 (.f64 t (.f64 z (cbrt.f64 -1/27))))
(.f64 t (neg.f64 (.f64 z (cbrt.f64 -1/27))))
(.f64 z (.f64 (cbrt.f64 -1/27) (neg.f64 t)))
(.f64 (.f64 t z) (neg.f64 (cbrt.f64 -1/27)))
(.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z)))
(neg.f64 (.f64 t (.f64 z (cbrt.f64 -1/27))))
(.f64 t (neg.f64 (.f64 z (cbrt.f64 -1/27))))
(.f64 z (.f64 (cbrt.f64 -1/27) (neg.f64 t)))
(.f64 (.f64 t z) (neg.f64 (cbrt.f64 -1/27)))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 1/3 z))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 1/3 z))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 1/3 z))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 1/3 z))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 1/3 z))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 1/3 z))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 1/3 z))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 1/3 z))
(.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z)))
(neg.f64 (.f64 t (.f64 z (cbrt.f64 -1/27))))
(.f64 t (neg.f64 (.f64 z (cbrt.f64 -1/27))))
(.f64 z (.f64 (cbrt.f64 -1/27) (neg.f64 t)))
(.f64 (.f64 t z) (neg.f64 (cbrt.f64 -1/27)))
(.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z)))
(neg.f64 (.f64 t (.f64 z (cbrt.f64 -1/27))))
(.f64 t (neg.f64 (.f64 z (cbrt.f64 -1/27))))
(.f64 z (.f64 (cbrt.f64 -1/27) (neg.f64 t)))
(.f64 (.f64 t z) (neg.f64 (cbrt.f64 -1/27)))
(.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z)))
(neg.f64 (.f64 t (.f64 z (cbrt.f64 -1/27))))
(.f64 t (neg.f64 (.f64 z (cbrt.f64 -1/27))))
(.f64 z (.f64 (cbrt.f64 -1/27) (neg.f64 t)))
(.f64 (.f64 t z) (neg.f64 (cbrt.f64 -1/27)))
(.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z)))
(neg.f64 (.f64 t (.f64 z (cbrt.f64 -1/27))))
(.f64 t (neg.f64 (.f64 z (cbrt.f64 -1/27))))
(.f64 z (.f64 (cbrt.f64 -1/27) (neg.f64 t)))
(.f64 (.f64 t z) (neg.f64 (cbrt.f64 -1/27)))
(cos.f64 (neg.f64 (.f64 1/3 (.f64 t z))))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 1/3 z)))
(+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) y)) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))
(fma.f64 -1 (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) y) (cos.f64 (.f64 1/3 (*.f64 t z))))
(-.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (.f64 (sin.f64 (.f64 (*.f64 t z) -1/3)) y))
(fma.f64 y (sin.f64 (.f64 t (.f64 1/3 z))) (cos.f64 (.f64 t (.f64 1/3 z))))
(fma.f64 y (sin.f64 (.f64 1/3 (.f64 t z))) (cos.f64 (.f64 1/3 (.f64 t z))))
(+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) y)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z))))))
(fma.f64 -1 (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) y) (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (.f64 y y)) (cos.f64 (.f64 1/3 (*.f64 t z)))))
(-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 y y)) 1) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 (sin.f64 (.f64 (.f64 t z) -1/3)) y))
(fma.f64 (fma.f64 -1/2 (.f64 y y) 1) (cos.f64 (.f64 t (.f64 1/3 z))) (.f64 y (sin.f64 (.f64 t (.f64 1/3 z)))))
(fma.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (fma.f64 (.f64 y -1/2) y 1) (.f64 y (sin.f64 (.f64 1/3 (.f64 t z)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) y)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))) (+.f64 (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) (.f64 1/6 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) (pow.f64 y 3))))))
(fma.f64 -1 (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) y) (+.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (.f64 y y)) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 1/6 (.f64 (sin.f64 (.f64 -1/3 (*.f64 t z))) (pow.f64 y 3)))))
(+.f64 (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 y y)) 1) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 (sin.f64 (.f64 (.f64 t z) -1/3)) y)) (.f64 (sin.f64 (.f64 (.f64 t z) -1/3)) (.f64 (pow.f64 y 3) 1/6)))
(fma.f64 (fma.f64 -1/2 (.f64 y y) 1) (cos.f64 (.f64 t (.f64 1/3 z))) (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (+.f64 (*.f64 1/6 (pow.f64 y 3)) (neg.f64 y))))
(fma.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (fma.f64 (.f64 y -1/2) y 1) (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (-.f64 (*.f64 1/6 (pow.f64 y 3)) y)))
(fma.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (fma.f64 (.f64 y -1/2) y 1) (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (+.f64 y (*.f64 (pow.f64 y 3) -1/6))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t -1/3) z y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t -1/3) z y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t -1/3) z y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t -1/3) z y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (neg.f64 (+.f64 (.f64 1/3 (.f64 t z)) (*.f64 -1 y))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t -1/3) z y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (neg.f64 (+.f64 (.f64 1/3 (.f64 t z)) (*.f64 -1 y))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t -1/3) z y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (neg.f64 (+.f64 (.f64 1/3 (.f64 t z)) (*.f64 -1 y))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t -1/3) z y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (neg.f64 (+.f64 (.f64 1/3 (.f64 t z)) (*.f64 -1 y))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t -1/3) z y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 y)
(+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))
(fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (cos.f64 y))
(fma.f64 1/3 (.f64 (.f64 t z) (sin.f64 y)) (cos.f64 y))
(fma.f64 t (.f64 (sin.f64 y) (.f64 1/3 z)) (cos.f64 y))
(+.f64 (cos.f64 y) (+.f64 (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (pow.f64 z 2) (cos.f64 y))))))
(fma.f64 -1/18 (.f64 (.f64 t t) (.f64 (cos.f64 y) (.f64 z z))) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))))
(fma.f64 -1/18 (.f64 t (.f64 t (.f64 (cos.f64 y) (.f64 z z)))) (fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (cos.f64 y)))
(fma.f64 1/3 (.f64 (.f64 t z) (sin.f64 y)) (fma.f64 -1/18 (.f64 (.f64 z z) (.f64 (cos.f64 y) (.f64 t t))) (cos.f64 y)))
(+.f64 (cos.f64 y) (.f64 (.f64 t z) (+.f64 (.f64 1/3 (sin.f64 y)) (.f64 (.f64 t z) (.f64 (cos.f64 y) -1/18)))))
(+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y)))) (+.f64 (cos.f64 y) (+.f64 (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 -1/18 (.f64 (pow.f64 t 2) (*.f64 (pow.f64 z 2) (cos.f64 y)))))))
(fma.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (sin.f64 y) (pow.f64 z 3))) (fma.f64 -1/18 (.f64 (.f64 t t) (.f64 (cos.f64 y) (.f64 z z))) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(fma.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (sin.f64 y) (pow.f64 z 3))) (fma.f64 -1/18 (.f64 t (.f64 t (.f64 (cos.f64 y) (.f64 z z)))) (fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (cos.f64 y))))
(+.f64 (fma.f64 -1/18 (.f64 (.f64 z z) (.f64 (cos.f64 y) (.f64 t t))) (cos.f64 y)) (.f64 (sin.f64 y) (+.f64 (.f64 t (.f64 1/3 z)) (.f64 (pow.f64 z 3) (*.f64 -1/162 (pow.f64 t 3))))))
(+.f64 (.f64 (.f64 t z) (+.f64 (.f64 1/3 (sin.f64 y)) (.f64 (.f64 t z) (.f64 (cos.f64 y) -1/18)))) (fma.f64 -1/162 (.f64 (sin.f64 y) (.f64 (pow.f64 t 3) (pow.f64 z 3))) (cos.f64 y)))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t -1/3) z y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t -1/3) z y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t -1/3) z y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t -1/3) z y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (-.f64 y (.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z)))))
(cos.f64 (-.f64 y (neg.f64 (.f64 t (.f64 z (cbrt.f64 -1/27))))))
(cos.f64 (+.f64 (.f64 t (.f64 z (cbrt.f64 -1/27))) y))
(cos.f64 (fma.f64 z (*.f64 t (cbrt.f64 -1/27)) y))
(cos.f64 (-.f64 y (.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z)))))
(cos.f64 (-.f64 y (neg.f64 (.f64 t (.f64 z (cbrt.f64 -1/27))))))
(cos.f64 (+.f64 (.f64 t (.f64 z (cbrt.f64 -1/27))) y))
(cos.f64 (fma.f64 z (*.f64 t (cbrt.f64 -1/27)) y))
(cos.f64 (-.f64 y (.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z)))))
(cos.f64 (-.f64 y (neg.f64 (.f64 t (.f64 z (cbrt.f64 -1/27))))))
(cos.f64 (+.f64 (.f64 t (.f64 z (cbrt.f64 -1/27))) y))
(cos.f64 (fma.f64 z (*.f64 t (cbrt.f64 -1/27)) y))
(cos.f64 (-.f64 y (.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z)))))
(cos.f64 (-.f64 y (neg.f64 (.f64 t (.f64 z (cbrt.f64 -1/27))))))
(cos.f64 (+.f64 (.f64 t (.f64 z (cbrt.f64 -1/27))) y))
(cos.f64 (fma.f64 z (*.f64 t (cbrt.f64 -1/27)) y))
(cos.f64 y)
(+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))
(fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (cos.f64 y))
(fma.f64 1/3 (.f64 (.f64 t z) (sin.f64 y)) (cos.f64 y))
(fma.f64 t (.f64 (sin.f64 y) (.f64 1/3 z)) (cos.f64 y))
(+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))))
(fma.f64 -1/18 (.f64 (.f64 t t) (.f64 (cos.f64 y) (.f64 z z))) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))))
(fma.f64 -1/18 (.f64 t (.f64 t (.f64 (cos.f64 y) (.f64 z z)))) (fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (cos.f64 y)))
(fma.f64 1/3 (.f64 (.f64 t z) (sin.f64 y)) (fma.f64 -1/18 (.f64 (.f64 z z) (.f64 (cos.f64 y) (.f64 t t))) (cos.f64 y)))
(+.f64 (cos.f64 y) (.f64 (.f64 t z) (+.f64 (.f64 1/3 (sin.f64 y)) (.f64 (.f64 t z) (.f64 (cos.f64 y) -1/18)))))
(+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y)))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(fma.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (sin.f64 y) (pow.f64 z 3))) (fma.f64 -1/18 (.f64 (.f64 t t) (.f64 (cos.f64 y) (.f64 z z))) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(fma.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (sin.f64 y) (pow.f64 z 3))) (fma.f64 -1/18 (.f64 t (.f64 t (.f64 (cos.f64 y) (.f64 z z)))) (fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (cos.f64 y))))
(+.f64 (fma.f64 -1/18 (.f64 (.f64 z z) (.f64 (cos.f64 y) (.f64 t t))) (cos.f64 y)) (.f64 (sin.f64 y) (+.f64 (.f64 t (.f64 1/3 z)) (.f64 (pow.f64 z 3) (*.f64 -1/162 (pow.f64 t 3))))))
(+.f64 (.f64 (.f64 t z) (+.f64 (.f64 1/3 (sin.f64 y)) (.f64 (.f64 t z) (.f64 (cos.f64 y) -1/18)))) (fma.f64 -1/162 (.f64 (sin.f64 y) (.f64 (pow.f64 t 3) (pow.f64 z 3))) (cos.f64 y)))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t -1/3) z y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t -1/3) z y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t -1/3) z y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t -1/3) z y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (-.f64 y (.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z)))))
(cos.f64 (-.f64 y (neg.f64 (.f64 t (.f64 z (cbrt.f64 -1/27))))))
(cos.f64 (+.f64 (.f64 t (.f64 z (cbrt.f64 -1/27))) y))
(cos.f64 (fma.f64 z (*.f64 t (cbrt.f64 -1/27)) y))
(cos.f64 (-.f64 y (.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z)))))
(cos.f64 (-.f64 y (neg.f64 (.f64 t (.f64 z (cbrt.f64 -1/27))))))
(cos.f64 (+.f64 (.f64 t (.f64 z (cbrt.f64 -1/27))) y))
(cos.f64 (fma.f64 z (*.f64 t (cbrt.f64 -1/27)) y))
(cos.f64 (-.f64 y (.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z)))))
(cos.f64 (-.f64 y (neg.f64 (.f64 t (.f64 z (cbrt.f64 -1/27))))))
(cos.f64 (+.f64 (.f64 t (.f64 z (cbrt.f64 -1/27))) y))
(cos.f64 (fma.f64 z (*.f64 t (cbrt.f64 -1/27)) y))
(cos.f64 (-.f64 y (.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z)))))
(cos.f64 (-.f64 y (neg.f64 (.f64 t (.f64 z (cbrt.f64 -1/27))))))
(cos.f64 (+.f64 (.f64 t (.f64 z (cbrt.f64 -1/27))) y))
(cos.f64 (fma.f64 z (*.f64 t (cbrt.f64 -1/27)) y))
(.f64 1/27 (.f64 (pow.f64 t 3) (pow.f64 z 3)))
(.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) 1/27))
(.f64 1/27 (.f64 (pow.f64 t 3) (pow.f64 z 3)))
(.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) 1/27))
(.f64 1/27 (.f64 (pow.f64 t 3) (pow.f64 z 3)))
(.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) 1/27))
(.f64 1/27 (.f64 (pow.f64 t 3) (pow.f64 z 3)))
(.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) 1/27))
(.f64 1/27 (.f64 (pow.f64 t 3) (pow.f64 z 3)))
(.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) 1/27))
(.f64 1/27 (.f64 (pow.f64 t 3) (pow.f64 z 3)))
(.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) 1/27))
(.f64 1/27 (.f64 (pow.f64 t 3) (pow.f64 z 3)))
(.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) 1/27))
(.f64 1/27 (.f64 (pow.f64 t 3) (pow.f64 z 3)))
(.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) 1/27))
(.f64 1/27 (.f64 (pow.f64 t 3) (pow.f64 z 3)))
(.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) 1/27))
(.f64 1/27 (.f64 (pow.f64 t 3) (pow.f64 z 3)))
(.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) 1/27))
(.f64 1/27 (.f64 (pow.f64 t 3) (pow.f64 z 3)))
(.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) 1/27))
(.f64 1/27 (.f64 (pow.f64 t 3) (pow.f64 z 3)))
(.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) 1/27))
(.f64 1/27 (.f64 (pow.f64 t 3) (pow.f64 z 3)))
(.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) 1/27))
(.f64 1/27 (.f64 (pow.f64 t 3) (pow.f64 z 3)))
(.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) 1/27))
(.f64 1/27 (.f64 (pow.f64 t 3) (pow.f64 z 3)))
(.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) 1/27))
(.f64 1/27 (.f64 (pow.f64 t 3) (pow.f64 z 3)))
(.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) 1/27))
(.f64 1/27 (.f64 (pow.f64 t 3) (pow.f64 z 3)))
(.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) 1/27))
(.f64 1/27 (.f64 (pow.f64 t 3) (pow.f64 z 3)))
(.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) 1/27))
(.f64 1/27 (.f64 (pow.f64 t 3) (pow.f64 z 3)))
(.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) 1/27))
(.f64 1/27 (.f64 (pow.f64 t 3) (pow.f64 z 3)))
(.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) 1/27))
(.f64 1/27 (.f64 (pow.f64 t 3) (pow.f64 z 3)))
(.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) 1/27))
(.f64 1/27 (.f64 (pow.f64 t 3) (pow.f64 z 3)))
(.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) 1/27))
(.f64 1/27 (.f64 (pow.f64 t 3) (pow.f64 z 3)))
(.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) 1/27))
(.f64 1/27 (.f64 (pow.f64 t 3) (pow.f64 z 3)))
(.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) 1/27))

localize33.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
✓	0.2b	(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
	0.2b	(/.f64 a (*.f64 b 3))
✓	0.3b	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 80 to 41 computations (48.8% saved)

series18.0ms (0.1%)

Counts

3 → 36

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
2.0ms	y	@	-inf	(.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
2.0ms	x	@	0	(.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
2.0ms	x	@	-inf	(.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
2.0ms	y	@	inf	(cbrt.f64 (cos.f64 y))

rewrite64.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

850×	`pow1_binary64`
784×	`add-log-exp_binary64`
784×	`log1p-expm1-u_binary64`
784×	`expm1-log1p-u_binary64`
763×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	201	29
2	2247	29

Stop Event

1×	node limit

Counts

3 → 49

Calls

Call 1

Inputs
(cbrt.f64 (cos.f64 y))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 y) 1/6) (pow.f64 (cos.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3) (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 y) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (cos.f64 y))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 y) 1/6) (*.f64 (pow.f64 (cos.f64 y) 1/6) (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (cos.f64 y)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 2 (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 2 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 2 (sqrt.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 2 (sqrt.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 2 (sqrt.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x 4) (pow.f64 (cbrt.f64 (cos.f64 y)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2) (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 2 (sqrt.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 2 (sqrt.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 2 (sqrt.f64 x)) 3) (pow.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 2 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 2 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 2 (sqrt.f64 x)))))))))

simplify192.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1467×	`fma-def_binary64`
703×	`sqr-pow_binary64`
557×	`cube-prod_binary64`
388×	`*-commutative_binary64`
325×	`unpow3_binary64`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	56	432
1	141	414
2	367	394
3	1190	392
4	2635	392
5	3308	392
6	3457	392
7	3649	392
8	3864	392
9	4143	390
10	5104	390
11	5583	390
12	6159	390
13	6841	390
14	7176	390
15	7507	390
16	7837	390

Stop Event

1×	node limit

Counts

85 → 73

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 (.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))
(+.f64 (.f64 -23/6480 (pow.f64 y 6)) (+.f64 (.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
1
(+.f64 1 (*.f64 -1/3 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/3 (pow.f64 y 2)) (.f64 -1/405 (pow.f64 y 6))))
(+.f64 1 (+.f64 (.f64 -1/1701 (pow.f64 y 8)) (+.f64 (.f64 -1/3 (pow.f64 y 2)) (*.f64 -1/405 (pow.f64 y 6)))))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(*.f64 2 (sqrt.f64 x))
(+.f64 (.f64 -2/3 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))
(+.f64 (.f64 -2/405 (.f64 (pow.f64 y 6) (sqrt.f64 x))) (+.f64 (.f64 -2/3 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x))))
(+.f64 (.f64 -2/405 (.f64 (pow.f64 y 6) (sqrt.f64 x))) (+.f64 (.f64 -2/1701 (.f64 (pow.f64 y 8) (sqrt.f64 x))) (+.f64 (.f64 -2/3 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))))
(.f64 2 (.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) (sqrt.f64 x)))
(.f64 2 (.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) (sqrt.f64 x)))
(.f64 2 (.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) (sqrt.f64 x)))
(.f64 2 (.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) (sqrt.f64 x)))
(.f64 2 (.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) (sqrt.f64 x)))
(.f64 2 (.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) (sqrt.f64 x)))
(.f64 2 (.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) (sqrt.f64 x)))
(.f64 2 (.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) (sqrt.f64 x)))

Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 (.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))
(fma.f64 -1/72 (pow.f64 y 4) (+.f64 1 (.f64 -1/6 (.f64 y y))))
(fma.f64 -1/72 (pow.f64 y 4) (fma.f64 -1/6 (*.f64 y y) 1))
(fma.f64 -1/6 (*.f64 y y) (fma.f64 -1/72 (pow.f64 y 4) 1))
(+.f64 (.f64 -23/6480 (pow.f64 y 6)) (+.f64 (.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 -1/72 (pow.f64 y 4) (+.f64 1 (.f64 -1/6 (.f64 y y)))))
(fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 -1/72 (pow.f64 y 4) (fma.f64 -1/6 (*.f64 y y) 1)))
(fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 -1/6 (*.f64 y y) (fma.f64 -1/72 (pow.f64 y 4) 1)))
(fma.f64 -1/6 (*.f64 y y) (fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 -1/72 (pow.f64 y 4) 1)))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
1
(+.f64 1 (*.f64 -1/3 (pow.f64 y 2)))
(+.f64 1 (.f64 (.f64 y y) -1/3))
(fma.f64 (*.f64 y y) -1/3 1)
(fma.f64 y (*.f64 y -1/3) 1)
(+.f64 1 (+.f64 (.f64 -1/3 (pow.f64 y 2)) (.f64 -1/405 (pow.f64 y 6))))
(+.f64 1 (fma.f64 -1/3 (.f64 y y) (.f64 (pow.f64 y 6) -1/405)))
(+.f64 1 (fma.f64 (pow.f64 y 6) -1/405 (.f64 y (.f64 y -1/3))))
(fma.f64 (pow.f64 y 6) -1/405 (fma.f64 y (*.f64 y -1/3) 1))
(fma.f64 y (*.f64 y -1/3) (fma.f64 (pow.f64 y 6) -1/405 1))
(+.f64 1 (+.f64 (.f64 -1/1701 (pow.f64 y 8)) (+.f64 (.f64 -1/3 (pow.f64 y 2)) (*.f64 -1/405 (pow.f64 y 6)))))
(+.f64 1 (fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 -1/3 (.f64 y y) (.f64 (pow.f64 y 6) -1/405))))
(+.f64 1 (fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 (pow.f64 y 6) -1/405 (.f64 y (.f64 y -1/3)))))
(fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 (pow.f64 y 6) -1/405 (fma.f64 y (*.f64 y -1/3) 1)))
(fma.f64 y (*.f64 y -1/3) (fma.f64 (pow.f64 y 6) -1/405 (fma.f64 -1/1701 (pow.f64 y 8) 1)))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(*.f64 2 (sqrt.f64 x))
(+.f64 (.f64 -2/3 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))
(fma.f64 -2/3 (.f64 (.f64 y y) (sqrt.f64 x)) (*.f64 2 (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (+.f64 2 (.f64 (*.f64 y y) -2/3)))
(.f64 (sqrt.f64 x) (fma.f64 (.f64 y y) -2/3 2))
(.f64 (sqrt.f64 x) (fma.f64 y (.f64 y -2/3) 2))
(+.f64 (.f64 -2/405 (.f64 (pow.f64 y 6) (sqrt.f64 x))) (+.f64 (.f64 -2/3 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x))))
(fma.f64 -2/405 (.f64 (pow.f64 y 6) (sqrt.f64 x)) (fma.f64 -2/3 (.f64 (.f64 y y) (sqrt.f64 x)) (.f64 2 (sqrt.f64 x))))
(fma.f64 -2/405 (.f64 (pow.f64 y 6) (sqrt.f64 x)) (.f64 (sqrt.f64 x) (+.f64 2 (.f64 (.f64 y y) -2/3))))
(.f64 (sqrt.f64 x) (+.f64 2 (fma.f64 (pow.f64 y 6) -2/405 (.f64 y (*.f64 y -2/3)))))
(.f64 (sqrt.f64 x) (fma.f64 (pow.f64 y 6) -2/405 (fma.f64 y (.f64 y -2/3) 2)))
(.f64 (sqrt.f64 x) (fma.f64 y (.f64 y -2/3) (fma.f64 (pow.f64 y 6) -2/405 2)))
(+.f64 (.f64 -2/405 (.f64 (pow.f64 y 6) (sqrt.f64 x))) (+.f64 (.f64 -2/1701 (.f64 (pow.f64 y 8) (sqrt.f64 x))) (+.f64 (.f64 -2/3 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))))
(fma.f64 -2/405 (.f64 (pow.f64 y 6) (sqrt.f64 x)) (fma.f64 -2/1701 (.f64 (pow.f64 y 8) (sqrt.f64 x)) (fma.f64 -2/3 (.f64 (.f64 y y) (sqrt.f64 x)) (*.f64 2 (sqrt.f64 x)))))
(+.f64 (.f64 (sqrt.f64 x) (+.f64 2 (.f64 (.f64 y y) -2/3))) (.f64 (sqrt.f64 x) (+.f64 (.f64 (pow.f64 y 6) -2/405) (.f64 (pow.f64 y 8) -2/1701))))
(.f64 (sqrt.f64 x) (+.f64 (fma.f64 (.f64 y y) -2/3 2) (fma.f64 (pow.f64 y 6) -2/405 (*.f64 (pow.f64 y 8) -2/1701))))
(.f64 (sqrt.f64 x) (+.f64 2 (fma.f64 (pow.f64 y 6) -2/405 (fma.f64 y (.f64 y -2/3) (*.f64 (pow.f64 y 8) -2/1701)))))
(.f64 (sqrt.f64 x) (fma.f64 y (.f64 y -2/3) (fma.f64 (pow.f64 y 6) -2/405 (fma.f64 (pow.f64 y 8) -2/1701 2))))
(.f64 (sqrt.f64 x) (fma.f64 (pow.f64 y 6) (fma.f64 (.f64 y y) -2/1701 -2/405) (fma.f64 y (*.f64 y -2/3) 2)))
(.f64 2 (.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (cos.f64 y) 2))))
(.f64 (sqrt.f64 x) (.f64 2 (cbrt.f64 (pow.f64 (cos.f64 y) 2))))
(.f64 2 (.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (cos.f64 y) 2))))
(.f64 (sqrt.f64 x) (.f64 2 (cbrt.f64 (pow.f64 (cos.f64 y) 2))))
(.f64 2 (.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (cos.f64 y) 2))))
(.f64 (sqrt.f64 x) (.f64 2 (cbrt.f64 (pow.f64 (cos.f64 y) 2))))
(.f64 2 (.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (cos.f64 y) 2))))
(.f64 (sqrt.f64 x) (.f64 2 (cbrt.f64 (pow.f64 (cos.f64 y) 2))))
(.f64 2 (.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (cos.f64 y) 2))))
(.f64 (sqrt.f64 x) (.f64 2 (cbrt.f64 (pow.f64 (cos.f64 y) 2))))
(.f64 2 (.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (cos.f64 y) 2))))
(.f64 (sqrt.f64 x) (.f64 2 (cbrt.f64 (pow.f64 (cos.f64 y) 2))))
(.f64 2 (.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (cos.f64 y) 2))))
(.f64 (sqrt.f64 x) (.f64 2 (cbrt.f64 (pow.f64 (cos.f64 y) 2))))
(.f64 2 (.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (cos.f64 y) 2))))
(.f64 (sqrt.f64 x) (.f64 2 (cbrt.f64 (pow.f64 (cos.f64 y) 2))))

eval513.0ms (2.2%)

Compiler: Compiled 18739 to 11760 computations (37.2% saved)

prune293.0ms (1.2%)

Pruning

120 alts after pruning (111 fresh and 9 done)

	Pruned	Kept	Total
New	718	29	747
Fresh	13	82	95
Picked	1	0	1
Done	2	9	11
Total	734	120	854

Error

11.0b

Counts

854 → 120

Alt Table

Click to see full alt table

Status	Error	Program
	28.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (cbrt.f64 (.f64 1/3 t)) 3)))) (/.f64 a (*.f64 b 3)))
	18.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (.f64 (exp.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 (/.f64 t 3) z)))) (exp.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (/.f64 t 3) z))))))) (/.f64 a (.f64 b 3)))
	18.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 t (.f64 1/3 z)))) (.f64 (cos.f64 y) (cos.f64 (.f64 t (.f64 1/3 z)))))) (/.f64 a (*.f64 b 3)))
	18.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (.f64 t 1/3)))))) (/.f64 a (.f64 b 3)))
	61.2b	(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (/.f64 1/3 b))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (/.f64 1/3 b)))))))
	20.7b	(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2))) (/.f64 a (*.f64 b 3)))
✓	38.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (pow.f64 (.f64 1/3 t) 3) 1/3)))) (/.f64 a (*.f64 b 3)))
	36.4b	(/.f64 (*.f64 -1/3 a) b)
	18.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 a b) 1/3))
	33.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 (pow.f64 (.f64 1/9 (.f64 t t)) 1/3) (cbrt.f64 (.f64 1/3 t)))))) (/.f64 a (.f64 b 3)))
	50.5b	(pow.f64 (sqrt.f64 (*.f64 -1/3 (/.f64 a b))) 2)
✓	24.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (cbrt.f64 (pow.f64 (.f64 (/.f64 t 3) z) 3))))) (/.f64 a (.f64 b 3)))
	36.4b	(*.f64 (/.f64 -1/3 b) a)
	18.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (.f64 (exp.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 t (.f64 1/3 z))))) (exp.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 t (.f64 1/3 z)))))))) (/.f64 a (.f64 b 3)))
	36.4b	(/.f64 1 (/.f64 b (*.f64 -1/3 a)))
	16.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (-.f64 y (.f64 t (.f64 1/3 z)))) (cos.f64 (fma.f64 (neg.f64 z) (.f64 t 1/3) (.f64 t (.f64 1/3 z))))) (.f64 (sin.f64 (-.f64 y (.f64 t (.f64 1/3 z)))) (sin.f64 (fma.f64 (neg.f64 z) (.f64 t 1/3) (.f64 t (.f64 1/3 z))))))) (/.f64 a (*.f64 b 3)))
	36.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 t (.f64 1/3 z)))) 1/3))))) (/.f64 a (*.f64 b 3)))
	24.6b	(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x 4)) (.f64 (/.f64 (.f64 a -1/3) b) (/.f64 (.f64 a -1/3) b))) (-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (/.f64 (.f64 a -1/3) b)))
	28.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 (pow.f64 (cbrt.f64 (.f64 1/3 t)) 2) (cbrt.f64 (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
	18.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (-.f64 y (.f64 t (.f64 1/3 z))))))) (/.f64 a (*.f64 b 3)))
	36.8b	(pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 3)
	36.4b	(*.f64 1/3 (/.f64 1 (/.f64 (neg.f64 b) a)))
	18.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (.f64 t 1/3)))) 3) 2) (cbrt.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (.f64 b 3)))
	20.6b	(-.f64 (.f64 (sqrt.f64 x) (fma.f64 2 (cos.f64 y) (.f64 (.f64 z (sin.f64 y)) (.f64 t 2/3)))) (/.f64 a (*.f64 b 3)))
✓	36.4b	(*.f64 -1/3 (/.f64 a b))
	43.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (pow.f64 (exp.f64 (log.f64 (.f64 1/3 t))) 3) 1/3)))) (/.f64 a (*.f64 b 3)))
	48.1b	(expm1.f64 (log1p.f64 (*.f64 -1/3 (/.f64 a b))))
	36.4b	(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 a (*.f64 b 3)))
✓	28.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 1/3 t)))) (/.f64 a (*.f64 b 3)))
	28.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 1/3 t))) 3))) (/.f64 a (*.f64 b 3)))
	36.4b	(-.f64 (.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (fma.f64 -1/6 (.f64 y y) 1)) (/.f64 a (*.f64 b 3)))
	24.7b	(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 (-.f64 y (.f64 (/.f64 t 3) z))) 2))) (/.f64 a (.f64 b 3)))
	18.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 1/3 (/.f64 t (/.f64 1 z)))))) (/.f64 a (.f64 b 3)))
	24.4b	(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
	18.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 y (.f64 (/.f64 t 3) z)))) 3)) (/.f64 a (.f64 b 3)))
	15.9b	(-.f64 (.f64 (exp.f64 (log.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 2 (sqrt.f64 x))))) (cbrt.f64 (cos.f64 y))) (/.f64 a (.f64 b 3)))
	20.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 t (.f64 (sin.f64 y) (.f64 1/3 z)) (cos.f64 y))) (/.f64 a (*.f64 b 3)))
	18.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) 2) (pow.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) 2)) (cos.f64 (fma.f64 z (.f64 t 1/3) y)))) (/.f64 a (.f64 b 3)))
	40.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (pow.f64 (pow.f64 (.f64 z (.f64 1/3 t)) 3) 1/3))) (/.f64 a (*.f64 b 3)))
	28.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (.f64 z 1/3)))) (/.f64 a (*.f64 b 3)))
✓	18.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2) (cbrt.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (.f64 b 3)))
	18.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 3 (.f64 z t))) 2)) (cbrt.f64 (/.f64 3 (.f64 z t))))))) (/.f64 a (*.f64 b 3)))
	18.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 t 3) z)))) (/.f64 a (.f64 b 3)))
	36.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (exp.f64 (log.f64 (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
	36.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (exp.f64 (.f64 2/3 (log.f64 (.f64 z (.f64 t 1/3))))) (cbrt.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
	28.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z)))) (/.f64 a (*.f64 b 3)))
	45.8b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (.f64 z (pow.f64 (pow.f64 (.f64 t -1/3) 3) 1/3)))) (/.f64 (.f64 a -1/3) b))
	61.0b	(log.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))))
	18.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (.f64 z (pow.f64 (cbrt.f64 (.f64 t 1/3)) 2)) (cbrt.f64 (.f64 t 1/3)))))) (/.f64 a (*.f64 b 3)))
	28.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 (.f64 z (.f64 1/3 t))) 3))) (/.f64 a (*.f64 b 3)))
	18.9b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (-.f64 y (.f64 (/.f64 t 3) z))) (.f64 2 (sqrt.f64 x)))) 3) (/.f64 a (.f64 b 3)))
	36.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (sqrt.f64 (.f64 (/.f64 t 3) z)) (sqrt.f64 (.f64 (/.f64 t 3) z)))))) (/.f64 a (.f64 b 3)))
	28.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 (pow.f64 (cbrt.f64 t) 2) (.f64 (cbrt.f64 t) 1/3))))) (/.f64 a (.f64 b 3)))
	24.3b	(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 (/.f64 a 3) b) 1))
	38.5b	(-.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 (-.f64 y (.f64 (/.f64 t 3) z))) (.f64 2 (sqrt.f64 x))) 3) 1/3) (/.f64 a (.f64 b 3)))
	18.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (/.f64 t 3) (/.f64 1 z))))) (/.f64 a (*.f64 b 3)))
	29.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2) (cbrt.f64 (.f64 z (pow.f64 (pow.f64 (.f64 t 1/3) 3) 1/3))))))) (/.f64 a (.f64 b 3)))
	37.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (-.f64 y (.f64 (/.f64 t 3) z))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (-.f64 y (.f64 (/.f64 t 3) z))))) (sin.f64 1)))) (/.f64 a (*.f64 b 3)))
	18.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2)) (cbrt.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))))) 2) (cbrt.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
	24.3b	(-.f64 (.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 1) (/.f64 a (.f64 b 3)))
	18.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (cbrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
	23.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2) (pow.f64 (.f64 (pow.f64 (.f64 z t) 2) 1/9) 1/6))))) (/.f64 a (.f64 b 3)))
	20.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))))) (/.f64 a (.f64 b 3)))
	18.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (/.f64 a (.f64 b 3)))
	19.0b	(fma.f64 (sqrt.f64 x) (.f64 2 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))))) (/.f64 (.f64 a -1/3) b))
	52.9b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (pow.f64 (exp.f64 1) (log.f64 (.f64 t -1/3))) y))) (/.f64 (*.f64 a -1/3) b))
	19.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 a 3) b)) 3))
	36.4b	(pow.f64 (*.f64 (/.f64 b a) -3) -1)
	18.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z (expm1.f64 (log1p.f64 (.f64 t 1/3))))) 2) (cbrt.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (.f64 b 3)))
	18.9b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x)))) 3) (/.f64 a (.f64 b 3)))
	28.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))))) (/.f64 a (*.f64 b 3)))
	19.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 a 3) b)) 2) (cbrt.f64 (/.f64 (/.f64 a 3) b))))
✓	28.3b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (.f64 z (.f64 t -1/3)))) (/.f64 (.f64 a -1/3) b))
	18.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 t (.f64 1/3 z)))) 2) (pow.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 t (.f64 1/3 z)))) 2)) (cos.f64 (fma.f64 t (.f64 1/3 z) y)))) (/.f64 a (.f64 b 3)))
	18.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2) (cbrt.f64 (.f64 z (expm1.f64 (log1p.f64 (.f64 t 1/3))))))))) (/.f64 a (.f64 b 3)))
	36.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (pow.f64 (.f64 z (.f64 t 1/3)) 1/3) 2) (cbrt.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (.f64 b 3)))
✓	28.4b	(-.f64 (exp.f64 (log.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) (/.f64 a (*.f64 b 3)))
	18.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))))) (/.f64 a (*.f64 b 3)))
	28.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 z (.f64 1/3 t)))) 3)) (/.f64 a (*.f64 b 3)))
	24.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (sqrt.f64 (pow.f64 (expm1.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))) 2)))) (/.f64 a (.f64 b 3)))
	43.8b	(-.f64 (.f64 (log.f64 (pow.f64 (exp.f64 2) (.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (sqrt.f64 x)))) (cbrt.f64 (cos.f64 y))) (/.f64 a (*.f64 b 3)))
	28.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 2))) (/.f64 a (*.f64 b 3)))
	18.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 (/.f64 t 3) z))) (.f64 (cos.f64 y) (cos.f64 (.f64 (/.f64 t 3) z))))) (/.f64 a (*.f64 b 3)))
	35.5b	(pow.f64 (sqrt.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))) 2)
✓	14.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
	35.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (cbrt.f64 (pow.f64 (.f64 1/3 t) 3))))) (/.f64 a (*.f64 b 3)))
	28.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 (pow.f64 1/27 1/3) (.f64 t z)))) (/.f64 a (*.f64 b 3)))
	56.5b	(pow.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3) 1/3)
	28.9b	(-.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x))))) 2)) (cbrt.f64 (log.f64 (.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x)))))) (/.f64 a (*.f64 b 3)))
	15.3b	(pow.f64 (cbrt.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))) 3)
	25.1b	(-.f64 (exp.f64 (log.f64 (.f64 2 (sqrt.f64 x)))) (/.f64 a (.f64 b 3)))
	18.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (cos.f64 (fma.f64 -1/3 (.f64 z t) (.f64 z (.f64 t 1/3))))) (.f64 (sin.f64 (fma.f64 (.f64 z t) -1/3 y)) (sin.f64 (fma.f64 -1/3 (.f64 z t) (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
	36.8b	(/.f64 (/.f64 (*.f64 -1/3 a) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))
	36.6b	(-.f64 (.f64 (.f64 (sqrt.f64 x) (fma.f64 y (.f64 y -2/3) 2)) (cbrt.f64 (cos.f64 y))) (/.f64 a (.f64 b 3)))
	36.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2) (exp.f64 (.f64 (log.f64 (.f64 z (.f64 t 1/3))) 1/3)))))) (/.f64 a (*.f64 b 3)))
	49.4b	(-.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x)))))) (sqrt.f64 (log.f64 (.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x)))))) (/.f64 a (*.f64 b 3)))
	18.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)))) 3))) (/.f64 a (.f64 b 3)))
	14.8b	(-.f64 (.f64 (pow.f64 (.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 (.f64 2 (sqrt.f64 x)))) 2) (cbrt.f64 (cos.f64 y))) (/.f64 a (.f64 b 3)))
	18.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 3 z)) 2)) (/.f64 t (cbrt.f64 (/.f64 3 z))))))) (/.f64 a (.f64 b 3)))
	40.7b	(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 a b))) 1)
	46.9b	(pow.f64 (pow.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 3) 1/3)
	24.3b	(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
	40.6b	(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
	40.1b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (.f64 z (expm1.f64 (log1p.f64 (.f64 t -1/3)))))) (/.f64 (.f64 a -1/3) b))
	42.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (exp.f64 (log.f64 (.f64 z (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
	50.6b	(cbrt.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3))
	14.6b	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 (sqrt.f64 (.f64 x 4)))) (sqrt.f64 (sqrt.f64 (.f64 x 4))) (/.f64 (.f64 a -1/3) b))
	38.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 1/3 t)) 3) 3) 1/3)))) (/.f64 a (*.f64 b 3)))
	28.5b	(-.f64 (pow.f64 (exp.f64 1) (log.f64 (.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x))))) (/.f64 a (*.f64 b 3)))
✓	36.4b	(/.f64 -1/3 (/.f64 b a))
	28.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 (pow.f64 1/27 1/3) t)))) (/.f64 a (*.f64 b 3)))
	24.4b	(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (pow.f64 (*.f64 (/.f64 3 a) b) -1) 1))
	61.1b	(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (/.f64 1/3 b)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (/.f64 1/3 b)))))))
	23.9b	(-.f64 (.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 2 (sqrt.f64 x))) 3) 1/3) (cbrt.f64 (cos.f64 y))) (/.f64 a (.f64 b 3)))
	22.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (cos.f64 y))) (/.f64 a (*.f64 b 3)))
	36.4b	(/.f64 a (/.f64 b -1/3))
	36.8b	(.f64 (.f64 (/.f64 -1/3 b) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
	18.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 (-.f64 y (.f64 (/.f64 t 3) z))) 3))) (/.f64 a (.f64 b 3)))
	36.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2) (pow.f64 (pow.f64 (.f64 z (.f64 t 1/3)) 1/6) 2))))) (/.f64 a (.f64 b 3)))
	14.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (-.f64 (exp.f64 (cos.f64 y)) 1))) (/.f64 a (*.f64 b 3)))

Compiler

Compiled 3291 to 2569 computations (21.9% saved)

regimes6.0s (25.2%)

Counts

194 → 3

Calls

Call 1

Inputs
(*.f64 (/.f64 -1/3 b) a)
(/.f64 (*.f64 -1/3 a) b)
(/.f64 -1/3 (/.f64 b a))
(/.f64 a (/.f64 b -1/3))
(*.f64 -1/3 (/.f64 a b))
(/.f64 1 (/.f64 b (*.f64 -1/3 a)))
(*.f64 1/3 (/.f64 1 (/.f64 (neg.f64 b) a)))
(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 a b))) 1)
(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 a b))) 1)
(pow.f64 (*.f64 (/.f64 b a) -3) -1)
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 (/.f64 a 3) b) 1))
(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 a (*.f64 b 3)))
(expm1.f64 (log1p.f64 (*.f64 -1/3 (/.f64 a b))))
(expm1.f64 (log1p.f64 (*.f64 -1/3 (/.f64 a b))))
(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
(pow.f64 (sqrt.f64 (*.f64 -1/3 (/.f64 a b))) 2)
(pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 3)
(cbrt.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3))
(pow.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3) 1/3)
(pow.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3) 1/3)
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1/3 b) a))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (pow.f64 (*.f64 (/.f64 3 a) b) -1) 1))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 (/.f64 a 3) b) 1))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1 b) (/.f64 a 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (.f64 z 1/3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 1/3 t)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 t 3) z)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 1/3 b) a))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 a b) 1/3))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 z 3) t)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 1/3 (/.f64 t (/.f64 1 z)))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (/.f64 t 3) (/.f64 1 z))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 1 b) (/.f64 a 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 (/.f64 a 3) b) 1))
(.f64 (.f64 (/.f64 -1/3 b) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(/.f64 (/.f64 (*.f64 -1/3 a) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))
(-.f64 (exp.f64 (log.f64 (.f64 2 (sqrt.f64 x)))) (/.f64 a (.f64 b 3)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)) (/.f64 (.f64 a -1/3) b))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (cos.f64 y))) (/.f64 a (*.f64 b 3)))
(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2))) (/.f64 a (*.f64 b 3)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (.f64 z (.f64 t -1/3)))) (/.f64 (.f64 a -1/3) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (.f64 t (.f64 z -1/3)))) (/.f64 (.f64 a -1/3) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (.f64 -1/3 (.f64 t z)))) (/.f64 (.f64 a -1/3) b))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (.f64 (pow.f64 (.f64 (/.f64 3 a) b) -1) 1))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 (pow.f64 1/27 1/3) (.f64 t z)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 (pow.f64 1/27 1/3) t)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 -1/18 (pow.f64 (.f64 t z) 2) 1)) (/.f64 a (.f64 b 3)))
(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 (-.f64 y (.f64 (/.f64 t 3) z))) 2))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (pow.f64 (.f64 3 (/.f64 b a)) -1))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (/.f64 (/.f64 3 z) t) -1)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))))) (/.f64 a (.f64 b 3)))
(log.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))))
(-.f64 (exp.f64 (log.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) (/.f64 a (*.f64 b 3)))
(-.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x)))) 3) (/.f64 a (*.f64 b 3)))
(-.f64 (pow.f64 (cbrt.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))) 3) (/.f64 a (*.f64 b 3)))
(pow.f64 (sqrt.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))) 2)
(pow.f64 (cbrt.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))) 3)
(-.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) 1) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) (/.f64 1/3 b))))
(pow.f64 (pow.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 3) 1/3)
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (-.f64 (exp.f64 (cos.f64 y)) 1))) (/.f64 a (*.f64 b 3)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (/.f64 (*.f64 a -1/3) b))
(-.f64 (.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 1) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 (sqrt.f64 x) (fma.f64 y (.f64 y -2/3) 2)) (cbrt.f64 (cos.f64 y))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (exp.f64 (log.f64 (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (exp.f64 (log.f64 (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (exp.f64 (log.f64 (.f64 z (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 2))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (cbrt.f64 (.f64 1/3 t)) 3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 1/3 t))) 3))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 (.f64 z (.f64 1/3 t))) 3))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (.f64 z (.f64 1/3 t))) 2))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 z (.f64 1/3 t)))) 3)) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (cbrt.f64 (pow.f64 (.f64 1/3 t) 3))))) (/.f64 a (*.f64 b 3)))
(-.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) 2) (.f64 x 4))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (-.f64 y (.f64 t (.f64 1/3 z))))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 t (.f64 (sin.f64 y) (.f64 1/3 z)) (cos.f64 y))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (pow.f64 (.f64 1/3 t) 3) 1/3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (-.f64 (exp.f64 (cos.f64 (.f64 -1/3 (.f64 t z)))) 1))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (-.f64 y (.f64 (/.f64 t 3) z)))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (pow.f64 (pow.f64 (.f64 z (.f64 1/3 t)) 3) 1/3))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (fma.f64 2 (cos.f64 y) (.f64 (.f64 z (sin.f64 y)) (.f64 t 2/3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (exp.f64 (log.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 t (.f64 z (.f64 1/3 (sin.f64 y))) (cos.f64 y))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (cbrt.f64 (pow.f64 (.f64 (/.f64 t 3) z) 3))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 y (.f64 (/.f64 t 3) z)))) 3)) (/.f64 a (.f64 b 3)))
(-.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (-.f64 y (.f64 (/.f64 t 3) z))) (.f64 2 (sqrt.f64 x)))) 3) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 (-.f64 y (.f64 (/.f64 t 3) z))) 3))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 a 3) b)) 3))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (cbrt.f64 (.f64 (pow.f64 (.f64 z t) 3) 1/27))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (.f64 (/.f64 1 (cbrt.f64 (.f64 9 (.f64 b b)))) (/.f64 a (cbrt.f64 (.f64 3 b)))))
(-.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 (-.f64 y (.f64 (/.f64 t 3) z))) (.f64 2 (sqrt.f64 x))) 3) 1/3) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (/.f64 1/3 b))))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 t (.f64 1/3 z)))) 1/3))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 (pow.f64 (.f64 1/9 (.f64 t t)) 1/3) (cbrt.f64 (.f64 1/3 t)))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (sqrt.f64 (.f64 (/.f64 t 3) z)) (sqrt.f64 (.f64 (/.f64 t 3) z)))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 (cbrt.f64 (.f64 t t)) 1) (/.f64 (cbrt.f64 t) (/.f64 3 z)))))) (/.f64 a (*.f64 b 3)))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x 4)) (.f64 (/.f64 (.f64 a -1/3) b) (/.f64 (.f64 a -1/3) b))) (-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (/.f64 (.f64 a -1/3) b)))
(-.f64 (pow.f64 (exp.f64 1) (log.f64 (.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x))))) (/.f64 a (*.f64 b 3)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (.f64 z (expm1.f64 (log1p.f64 (.f64 t -1/3)))))) (/.f64 (.f64 a -1/3) b))
(fma.f64 (.f64 (cos.f64 y) (cbrt.f64 (.f64 x 4))) (cbrt.f64 (sqrt.f64 (.f64 x 4))) (/.f64 (.f64 a -1/3) b))
(fma.f64 (cbrt.f64 (.f64 x 4)) (.f64 (cbrt.f64 (.f64 2 (sqrt.f64 x))) (cos.f64 y)) (.f64 a (neg.f64 (/.f64 1/3 b))))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (.f64 z (pow.f64 (pow.f64 (.f64 t -1/3) 3) 1/3)))) (/.f64 (.f64 a -1/3) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))) (/.f64 (.f64 a -1/3) b))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))))) (/.f64 a (.f64 b 3)))
(-.f64 (expm1.f64 (log1p.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))) 3)) (/.f64 a (.f64 b 3)))
(-.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x)))) 3) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) 3))) (/.f64 a (.f64 b 3)))
(-.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))) 3) 1/3) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (fma.f64 -1/6 (.f64 y y) 1)) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 (pow.f64 (cbrt.f64 t) 2) (.f64 (cbrt.f64 t) 1/3))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (pow.f64 (sqrt.f64 (.f64 1/9 (.f64 t t))) 3) 1/3)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (.f64 t 1/3)))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 (pow.f64 (cbrt.f64 (.f64 1/3 t)) 2) (cbrt.f64 (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (/.f64 1/3 b))))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (.f64 z (pow.f64 (cbrt.f64 (.f64 t 1/3)) 2)) (cbrt.f64 (.f64 t 1/3)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (cbrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 3 z)) 2)) (/.f64 t (cbrt.f64 (/.f64 3 z))))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2) (cbrt.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 a 3) b)) 2) (cbrt.f64 (/.f64 (/.f64 a 3) b))))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 t (.f64 1/3 z)))) (.f64 (cos.f64 y) (cos.f64 (.f64 t (.f64 1/3 z)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (exp.f64 (.f64 2/3 (log.f64 (.f64 z (.f64 t 1/3))))) (cbrt.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (pow.f64 (.f64 z (.f64 t 1/3)) 1/3) 2) (cbrt.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 (/.f64 t 3) z))) (.f64 (cos.f64 y) (cos.f64 (.f64 (/.f64 t 3) z))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 3 (.f64 z t))) 2)) (cbrt.f64 (/.f64 3 (.f64 z t))))))) (/.f64 a (*.f64 b 3)))
(/.f64 (-.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2)) (pow.f64 (.f64 a (neg.f64 (/.f64 1/3 b))) 2)) (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (neg.f64 (/.f64 1/3 b)))))
(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 (sqrt.f64 (.f64 x 4)))) (sqrt.f64 (sqrt.f64 (.f64 x 4))) (/.f64 (.f64 a -1/3) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (exp.f64 (log.f64 (.f64 t -1/3))) y))) (/.f64 (*.f64 a -1/3) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (/.f64 (expm1.f64 (log1p.f64 (*.f64 -1/3 a))) b))
(-.f64 (.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y))) (/.f64 a (.f64 b 3)))
(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 (.f64 2 (sqrt.f64 x)))) (sqrt.f64 (.f64 2 (sqrt.f64 x))) (.f64 a (neg.f64 (/.f64 1/3 b))))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (pow.f64 (cbrt.f64 (.f64 t -1/3)) 3) y))) (/.f64 (*.f64 a -1/3) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (pow.f64 (pow.f64 (.f64 t -1/3) 3) 1/3) y))) (/.f64 (*.f64 a -1/3) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (pow.f64 (pow.f64 (.f64 t -1/3) 3) 1/3) y))) (/.f64 (*.f64 a -1/3) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (/.f64 (pow.f64 (pow.f64 (*.f64 -1/3 a) 3) 1/3) b))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (pow.f64 (exp.f64 (log.f64 (.f64 1/3 t))) 3) 1/3)))) (/.f64 a (*.f64 b 3)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 -1/3 (/.f64 a b)))) 1/3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 1/3 t)) 3) 3) 1/3)))) (/.f64 a (*.f64 b 3)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 (cbrt.f64 (.f64 (.f64 t t) 1/9)) (cbrt.f64 (.f64 t -1/3))) y))) (/.f64 (.f64 a -1/3) b))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 t 1/3)) (cbrt.f64 z)) 2) (cbrt.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2) (pow.f64 (.f64 (pow.f64 (.f64 z t) 2) 1/9) 1/6))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2) (exp.f64 (.f64 (log.f64 (.f64 z (.f64 t 1/3))) 1/3)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2) (pow.f64 (pow.f64 (.f64 z (.f64 t 1/3)) 1/6) 2))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (pow.f64 (.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 (.f64 2 (sqrt.f64 x)))) 2) (cbrt.f64 (cos.f64 y))) (/.f64 a (.f64 b 3)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (pow.f64 (exp.f64 1) (log.f64 (.f64 t -1/3))) y))) (/.f64 (*.f64 a -1/3) b))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (sqrt.f64 (pow.f64 (expm1.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))) 2)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)))) 3))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z (expm1.f64 (log1p.f64 (.f64 t 1/3))))) 2) (cbrt.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2) (cbrt.f64 (.f64 z (expm1.f64 (log1p.f64 (.f64 t 1/3))))))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (.f64 t 1/3)))) 3) 2) (cbrt.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2) (cbrt.f64 (.f64 z (pow.f64 (pow.f64 (.f64 t 1/3) 3) 1/3))))))) (/.f64 a (.f64 b 3)))
(-.f64 (fma.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 2 (sqrt.f64 x)) (.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) (.f64 2 (sqrt.f64 x)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (-.f64 y (.f64 t (.f64 1/3 z)))) (cos.f64 (fma.f64 (neg.f64 z) (.f64 t 1/3) (.f64 t (.f64 1/3 z))))) (.f64 (sin.f64 (-.f64 y (.f64 t (.f64 1/3 z)))) (sin.f64 (fma.f64 (neg.f64 z) (.f64 t 1/3) (.f64 t (.f64 1/3 z))))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (exp.f64 (log.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 2 (sqrt.f64 x))))) (cbrt.f64 (cos.f64 y))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 2 (sqrt.f64 x))) 3) 1/3) (cbrt.f64 (cos.f64 y))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (.f64 (exp.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 t (.f64 1/3 z))))) (exp.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 t (.f64 1/3 z)))))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (.f64 (exp.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 (/.f64 t 3) z)))) (exp.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (/.f64 t 3) z))))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2)) 3/2) 2) (cbrt.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2)) 3/2))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (log.f64 (pow.f64 (exp.f64 2) (.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (sqrt.f64 x)))) (cbrt.f64 (cos.f64 y))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (-.f64 y (.f64 (/.f64 t 3) z))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (-.f64 y (.f64 (/.f64 t 3) z))))) (sin.f64 1)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2)) (cbrt.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))))) 2) (cbrt.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 t (.f64 1/3 z)))) 2) (pow.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 t (.f64 1/3 z)))) 2)) (cos.f64 (fma.f64 t (.f64 1/3 z) y)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) 2) (pow.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) 2)) (cos.f64 (fma.f64 z (.f64 t 1/3) y)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (cos.f64 (fma.f64 -1/3 (.f64 z t) (.f64 z (.f64 t 1/3))))) (.f64 (sin.f64 (fma.f64 (.f64 z t) -1/3 y)) (sin.f64 (fma.f64 -1/3 (.f64 z t) (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (cos.f64 (fma.f64 (neg.f64 (.f64 t 1/3)) z (.f64 z (.f64 t 1/3))))) (.f64 (sin.f64 (fma.f64 (.f64 z t) -1/3 y)) (sin.f64 (fma.f64 (neg.f64 (.f64 t 1/3)) z (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
(-.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x)))))) (sqrt.f64 (log.f64 (.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x)))))) (/.f64 a (*.f64 b 3)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (/.f64 1/3 b)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (/.f64 1/3 b)))))))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 (sqrt.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3))))) (sqrt.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3))))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))))) (/.f64 a (.f64 b 3)))
(-.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x))))) 2)) (cbrt.f64 (log.f64 (.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x)))))) (/.f64 a (*.f64 b 3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (/.f64 1/3 b))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (/.f64 1/3 b)))))))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (/.f64 (-.f64 (.f64 (exp.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))) (exp.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)))) 1) (+.f64 (exp.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))) 1)))) (/.f64 a (*.f64 b 3)))
(fma.f64 (sqrt.f64 x) (.f64 2 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))))) (/.f64 (.f64 a -1/3) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 z (.f64 t -1/3) y)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 z (.f64 t -1/3) y)))) (sin.f64 1)))) (/.f64 (.f64 a -1/3) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))))) (/.f64 (.f64 a -1/3) b))

Outputs

(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 (/.f64 a 3) b) 1))

(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (-.f64 y (*.f64 t (*.f64 1/3 z)))) (cos.f64 (fma.f64 (neg.f64 z) (*.f64 t 1/3) (*.f64 t (*.f64 1/3 z))))) (*.f64 (sin.f64 (-.f64 y (*.f64 t (*.f64 1/3 z)))) (sin.f64 (fma.f64 (neg.f64 z) (*.f64 t 1/3) (*.f64 t (*.f64 1/3 z))))))) (/.f64 a (*.f64 b 3)))

(-.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 (pow.f64 (*.f64 (/.f64 3 a) b) -1) 1))

Calls

23 calls:

442.0ms	x
421.0ms	y
380.0ms	t
370.0ms	(-.f64 y (/.f64 (*.f64 z t) 3))
358.0ms	(/.f64 (*.f64 z t) 3)

Results

Error	Segments	Branch
14.4b	1	`x`
14.4b	1	`y`
14.4b	1	`z`
13.2b	3	`t`
14.4b	1	`a`
14.4b	1	`b`
12.9b	2	`(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))`
12.9b	2	`(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))`
12.9b	2	`(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))`
14.4b	1	`(*.f64 2 (sqrt.f64 x))`
14.4b	1	`(sqrt.f64 x)`
12.8b	2	`(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))`
12.8b	2	`(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))`
12.8b	3	`(-.f64 y (/.f64 (*.f64 z t) 3))`
12.8b	3	`(-.f64 y (/.f64 (*.f64 z t) 3))`
12.8b	3	`(/.f64 (*.f64 z t) 3)`
12.8b	3	`(/.f64 (*.f64 z t) 3)`
12.8b	3	`(*.f64 z t)`
12.8b	3	`(*.f64 z t)`
14.4b	1	`(/.f64 a (*.f64 b 3))`
14.4b	1	`(/.f64 a (*.f64 b 3))`
14.4b	1	`(*.f64 b 3)`
14.4b	1	`(*.f64 b 3)`

Compiler

Compiled 4423 to 2868 computations (35.2% saved)

bsearch5.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.2543789479489654e+300	+inf
0.0ms	-4.0646735777687217e+256	-1.4931275032041958e+256

Compiler

Compiled 34 to 27 computations (20.6% saved)

regimes2.7s (11.5%)

Counts

171 → 1

Calls

Call 1

Inputs
(*.f64 (/.f64 -1/3 b) a)
(/.f64 (*.f64 -1/3 a) b)
(/.f64 -1/3 (/.f64 b a))
(/.f64 a (/.f64 b -1/3))
(*.f64 -1/3 (/.f64 a b))
(/.f64 1 (/.f64 b (*.f64 -1/3 a)))
(*.f64 1/3 (/.f64 1 (/.f64 (neg.f64 b) a)))
(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 a b))) 1)
(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 a b))) 1)
(pow.f64 (*.f64 (/.f64 b a) -3) -1)
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 (/.f64 a 3) b) 1))
(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 a (*.f64 b 3)))
(expm1.f64 (log1p.f64 (*.f64 -1/3 (/.f64 a b))))
(expm1.f64 (log1p.f64 (*.f64 -1/3 (/.f64 a b))))
(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
(pow.f64 (sqrt.f64 (*.f64 -1/3 (/.f64 a b))) 2)
(pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 3)
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(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (exp.f64 (log.f64 (.f64 t -1/3))) y))) (/.f64 (*.f64 a -1/3) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (/.f64 (expm1.f64 (log1p.f64 (*.f64 -1/3 a))) b))
(-.f64 (.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y))) (/.f64 a (.f64 b 3)))
(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 (.f64 2 (sqrt.f64 x)))) (sqrt.f64 (.f64 2 (sqrt.f64 x))) (.f64 a (neg.f64 (/.f64 1/3 b))))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (pow.f64 (cbrt.f64 (.f64 t -1/3)) 3) y))) (/.f64 (*.f64 a -1/3) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (pow.f64 (pow.f64 (.f64 t -1/3) 3) 1/3) y))) (/.f64 (*.f64 a -1/3) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (pow.f64 (pow.f64 (.f64 t -1/3) 3) 1/3) y))) (/.f64 (*.f64 a -1/3) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (/.f64 (pow.f64 (pow.f64 (*.f64 -1/3 a) 3) 1/3) b))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (pow.f64 (exp.f64 (log.f64 (.f64 1/3 t))) 3) 1/3)))) (/.f64 a (*.f64 b 3)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 -1/3 (/.f64 a b)))) 1/3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 1/3 t)) 3) 3) 1/3)))) (/.f64 a (*.f64 b 3)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 (cbrt.f64 (.f64 (.f64 t t) 1/9)) (cbrt.f64 (.f64 t -1/3))) y))) (/.f64 (.f64 a -1/3) b))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 t 1/3)) (cbrt.f64 z)) 2) (cbrt.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2) (pow.f64 (.f64 (pow.f64 (.f64 z t) 2) 1/9) 1/6))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2) (exp.f64 (.f64 (log.f64 (.f64 z (.f64 t 1/3))) 1/3)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2) (pow.f64 (pow.f64 (.f64 z (.f64 t 1/3)) 1/6) 2))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (pow.f64 (.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 (.f64 2 (sqrt.f64 x)))) 2) (cbrt.f64 (cos.f64 y))) (/.f64 a (.f64 b 3)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (pow.f64 (exp.f64 1) (log.f64 (.f64 t -1/3))) y))) (/.f64 (*.f64 a -1/3) b))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (sqrt.f64 (pow.f64 (expm1.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))) 2)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)))) 3))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z (expm1.f64 (log1p.f64 (.f64 t 1/3))))) 2) (cbrt.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2) (cbrt.f64 (.f64 z (expm1.f64 (log1p.f64 (.f64 t 1/3))))))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (.f64 t 1/3)))) 3) 2) (cbrt.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2) (cbrt.f64 (.f64 z (pow.f64 (pow.f64 (.f64 t 1/3) 3) 1/3))))))) (/.f64 a (.f64 b 3)))
(-.f64 (fma.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 2 (sqrt.f64 x)) (.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) (.f64 2 (sqrt.f64 x)))) (/.f64 a (.f64 b 3)))

Outputs
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 (/.f64 a 3) b) 1))

Calls

21 calls:

172.0ms	a
152.0ms	b
144.0ms	(-.f64 y (/.f64 (*.f64 z t) 3))
141.0ms	(-.f64 y (/.f64 (*.f64 z t) 3))
136.0ms	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))

Results

Error	Segments	Branch
14.4b	1	`x`
14.4b	1	`y`
14.4b	1	`z`
14.4b	1	`t`
14.4b	1	`a`
14.4b	1	`b`
14.4b	1	`(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))`
14.4b	1	`(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))`
14.4b	1	`(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))`
14.4b	1	`(*.f64 2 (sqrt.f64 x))`
14.4b	1	`(sqrt.f64 x)`
14.4b	1	`(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))`
14.4b	1	`(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))`
14.4b	1	`(-.f64 y (/.f64 (*.f64 z t) 3))`
14.4b	1	`(-.f64 y (/.f64 (*.f64 z t) 3))`
14.4b	1	`(/.f64 (*.f64 z t) 3)`
14.4b	1	`(*.f64 z t)`
14.4b	1	`(/.f64 a (*.f64 b 3))`
14.4b	1	`(/.f64 a (*.f64 b 3))`
14.4b	1	`(*.f64 b 3)`
14.4b	1	`(*.f64 b 3)`

Compiler

Compiled 3579 to 2322 computations (35.1% saved)

regimes166.0ms (0.7%)

Counts

28 → 1

Calls

Call 1

Inputs
(*.f64 (/.f64 -1/3 b) a)
(/.f64 (*.f64 -1/3 a) b)
(/.f64 -1/3 (/.f64 b a))
(/.f64 a (/.f64 b -1/3))
(*.f64 -1/3 (/.f64 a b))
(/.f64 1 (/.f64 b (*.f64 -1/3 a)))
(*.f64 1/3 (/.f64 1 (/.f64 (neg.f64 b) a)))
(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 a b))) 1)
(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 a b))) 1)
(pow.f64 (*.f64 (/.f64 b a) -3) -1)
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 (/.f64 a 3) b) 1))
(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 a (*.f64 b 3)))
(expm1.f64 (log1p.f64 (*.f64 -1/3 (/.f64 a b))))
(expm1.f64 (log1p.f64 (*.f64 -1/3 (/.f64 a b))))
(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
(pow.f64 (sqrt.f64 (*.f64 -1/3 (/.f64 a b))) 2)
(pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 3)
(cbrt.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3))
(pow.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3) 1/3)
(pow.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3) 1/3)
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1/3 b) a))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (pow.f64 (*.f64 (/.f64 3 a) b) -1) 1))

Outputs
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))

Calls

10 calls:

17.0ms	(*.f64 b 3)
17.0ms	(sqrt.f64 x)
16.0ms	x
16.0ms	(*.f64 2 (sqrt.f64 x))
15.0ms	y

Results

Error	Segments	Branch
14.5b	1	`x`
14.5b	1	`y`
14.5b	1	`z`
14.5b	1	`t`
14.5b	1	`a`
14.5b	1	`b`
14.5b	1	`(*.f64 2 (sqrt.f64 x))`
14.5b	1	`(sqrt.f64 x)`
14.5b	1	`(/.f64 a (*.f64 b 3))`
14.5b	1	`(*.f64 b 3)`

Compiler

Compiled 334 to 225 computations (32.6% saved)

regimes188.0ms (0.8%)

Counts

26 → 1

Calls

Call 1

Inputs
(*.f64 (/.f64 -1/3 b) a)
(/.f64 (*.f64 -1/3 a) b)
(/.f64 -1/3 (/.f64 b a))
(/.f64 a (/.f64 b -1/3))
(*.f64 -1/3 (/.f64 a b))
(/.f64 1 (/.f64 b (*.f64 -1/3 a)))
(*.f64 1/3 (/.f64 1 (/.f64 (neg.f64 b) a)))
(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 a b))) 1)
(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 a b))) 1)
(pow.f64 (*.f64 (/.f64 b a) -3) -1)
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 (/.f64 a 3) b) 1))
(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 a (*.f64 b 3)))
(expm1.f64 (log1p.f64 (*.f64 -1/3 (/.f64 a b))))
(expm1.f64 (log1p.f64 (*.f64 -1/3 (/.f64 a b))))
(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
(pow.f64 (sqrt.f64 (*.f64 -1/3 (/.f64 a b))) 2)
(pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 3)
(cbrt.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3))
(pow.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3) 1/3)
(pow.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3) 1/3)
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1/3 b) a))

Outputs
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1/3 b) a))

Calls

12 calls:

17.0ms	(*.f64 b 3)
16.0ms	(*.f64 2 (sqrt.f64 x))
16.0ms	(sqrt.f64 x)
16.0ms	t
15.0ms	(*.f64 b 3)

Results

Error	Segments	Branch
14.5b	1	`x`
14.5b	1	`y`
14.5b	1	`z`
14.5b	1	`t`
14.5b	1	`a`
14.5b	1	`b`
14.5b	1	`(*.f64 2 (sqrt.f64 x))`
14.5b	1	`(sqrt.f64 x)`
14.5b	1	`(/.f64 a (*.f64 b 3))`
14.5b	1	`(/.f64 a (*.f64 b 3))`
14.5b	1	`(*.f64 b 3)`
14.5b	1	`(*.f64 b 3)`

Compiler

Compiled 327 to 225 computations (31.2% saved)

regimes658.0ms (2.8%)

Counts

25 → 3

Calls

Call 1

Inputs
(*.f64 (/.f64 -1/3 b) a)
(/.f64 (*.f64 -1/3 a) b)
(/.f64 -1/3 (/.f64 b a))
(/.f64 a (/.f64 b -1/3))
(*.f64 -1/3 (/.f64 a b))
(/.f64 1 (/.f64 b (*.f64 -1/3 a)))
(*.f64 1/3 (/.f64 1 (/.f64 (neg.f64 b) a)))
(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 a b))) 1)
(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 a b))) 1)
(pow.f64 (*.f64 (/.f64 b a) -3) -1)
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 (/.f64 a 3) b) 1))
(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 a (*.f64 b 3)))
(expm1.f64 (log1p.f64 (*.f64 -1/3 (/.f64 a b))))
(expm1.f64 (log1p.f64 (*.f64 -1/3 (/.f64 a b))))
(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
(pow.f64 (sqrt.f64 (*.f64 -1/3 (/.f64 a b))) 2)
(pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 3)
(cbrt.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3))
(pow.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3) 1/3)
(pow.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3) 1/3)

Outputs
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 (/.f64 a 3) b) 1))

Calls

13 calls:

105.0ms	(sqrt.f64 x)
65.0ms	y
64.0ms	(*.f64 2 (sqrt.f64 x))
62.0ms	x
57.0ms	(*.f64 2 (sqrt.f64 x))

Results

Error	Segments	Branch
22.1b	5	`x`
21.7b	4	`y`
24.3b	1	`z`
24.3b	1	`t`
20.7b	3	`a`
20.9b	3	`b`
22.1b	5	`(*.f64 2 (sqrt.f64 x))`
22.1b	5	`(*.f64 2 (sqrt.f64 x))`
22.1b	5	`(sqrt.f64 x)`
17.2b	3	`(/.f64 a (*.f64 b 3))`
17.2b	3	`(/.f64 a (*.f64 b 3))`
20.9b	3	`(*.f64 b 3)`
20.9b	3	`(*.f64 b 3)`

Compiler

Compiled 324 to 227 computations (29.9% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.522454808981513e-119	6.719053778286374e-111
0.0ms	-1.4230125763094537e-74	-1.2487026114835646e-75

Compiler

Compiled 34 to 27 computations (20.6% saved)

regimes153.0ms (0.6%)

Counts

19 → 1

Calls

Call 1

Inputs
(*.f64 (/.f64 -1/3 b) a)
(/.f64 (*.f64 -1/3 a) b)
(/.f64 -1/3 (/.f64 b a))
(/.f64 a (/.f64 b -1/3))
(*.f64 -1/3 (/.f64 a b))
(/.f64 1 (/.f64 b (*.f64 -1/3 a)))
(*.f64 1/3 (/.f64 1 (/.f64 (neg.f64 b) a)))
(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 a b))) 1)
(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 a b))) 1)
(pow.f64 (*.f64 (/.f64 b a) -3) -1)
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 (/.f64 a 3) b) 1))
(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 a (*.f64 b 3)))
(expm1.f64 (log1p.f64 (*.f64 -1/3 (/.f64 a b))))
(expm1.f64 (log1p.f64 (*.f64 -1/3 (/.f64 a b))))

Outputs
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 (/.f64 a 3) b) 1))

Calls

12 calls:

13.0ms	(*.f64 b 3)
13.0ms	a
13.0ms	(/.f64 a (*.f64 b 3))
12.0ms	(*.f64 2 (sqrt.f64 x))
12.0ms	z

Results

Error	Segments	Branch
24.3b	1	`x`
24.3b	1	`y`
24.3b	1	`z`
24.3b	1	`t`
24.3b	1	`a`
24.3b	1	`b`
24.3b	1	`(*.f64 2 (sqrt.f64 x))`
24.3b	1	`(sqrt.f64 x)`
24.3b	1	`(/.f64 a (*.f64 b 3))`
24.3b	1	`(/.f64 a (*.f64 b 3))`
24.3b	1	`(*.f64 b 3)`
24.3b	1	`(*.f64 b 3)`

Compiler

Compiled 265 to 187 computations (29.4% saved)

regimes98.0ms (0.4%)

Counts

14 → 1

Calls

Call 1

Inputs
(*.f64 (/.f64 -1/3 b) a)
(/.f64 (*.f64 -1/3 a) b)
(/.f64 -1/3 (/.f64 b a))
(/.f64 a (/.f64 b -1/3))
(*.f64 -1/3 (/.f64 a b))
(/.f64 1 (/.f64 b (*.f64 -1/3 a)))
(*.f64 1/3 (/.f64 1 (/.f64 (neg.f64 b) a)))
(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 a b))) 1)
(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 a b))) 1)
(pow.f64 (*.f64 (/.f64 b a) -3) -1)
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))

Outputs
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))

Calls

10 calls:

11.0ms	(*.f64 b 3)
11.0ms	x
10.0ms	z
10.0ms	(*.f64 2 (sqrt.f64 x))
10.0ms	a

Results

Error	Segments	Branch
24.3b	1	`x`
24.3b	1	`y`
24.3b	1	`z`
24.3b	1	`t`
24.3b	1	`a`
24.3b	1	`b`
24.3b	1	`(*.f64 2 (sqrt.f64 x))`
24.3b	1	`(sqrt.f64 x)`
24.3b	1	`(/.f64 a (*.f64 b 3))`
24.3b	1	`(*.f64 b 3)`

Compiler

Compiled 191 to 139 computations (27.2% saved)

regimes82.0ms (0.3%)

Counts

13 → 1

Calls

Call 1

Inputs
(*.f64 (/.f64 -1/3 b) a)
(/.f64 (*.f64 -1/3 a) b)
(/.f64 -1/3 (/.f64 b a))
(/.f64 a (/.f64 b -1/3))
(*.f64 -1/3 (/.f64 a b))
(/.f64 1 (/.f64 b (*.f64 -1/3 a)))
(*.f64 1/3 (/.f64 1 (/.f64 (neg.f64 b) a)))
(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 a b))) 1)
(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 a b))) 1)
(pow.f64 (*.f64 (/.f64 b a) -3) -1)
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))

Outputs
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))

Calls

8 calls:

15.0ms	y
10.0ms	a
10.0ms	(*.f64 2 (sqrt.f64 x))
10.0ms	z
8.0ms	x

Results

Error	Segments	Branch
24.4b	1	`x`
24.4b	1	`y`
24.4b	1	`z`
24.4b	1	`t`
24.4b	1	`a`
24.4b	1	`b`
24.4b	1	`(*.f64 2 (sqrt.f64 x))`
24.4b	1	`(sqrt.f64 x)`

Compiler

Compiled 161 to 116 computations (28% saved)

regimes58.0ms (0.2%)

Accuracy

Total -4.6b remaining (-12.7%)

Threshold costs -4.6b (-12.7%)

Counts

10 → 1

Calls

Call 1

Inputs
(*.f64 (/.f64 -1/3 b) a)
(/.f64 (*.f64 -1/3 a) b)
(/.f64 -1/3 (/.f64 b a))
(/.f64 a (/.f64 b -1/3))
(*.f64 -1/3 (/.f64 a b))
(/.f64 1 (/.f64 b (*.f64 -1/3 a)))
(*.f64 1/3 (/.f64 1 (/.f64 (neg.f64 b) a)))
(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 a b))) 1)
(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 a b))) 1)
(pow.f64 (*.f64 (/.f64 b a) -3) -1)

Outputs
(/.f64 (*.f64 -1/3 a) b)

Calls

6 calls:

13.0ms	x
11.0ms	y
8.0ms	a
8.0ms	t
7.0ms	z

Results

Error	Segments	Branch
36.4b	1	`x`
36.4b	1	`y`
36.4b	1	`z`
36.4b	1	`t`
36.4b	1	`a`
36.4b	1	`b`

Compiler

Compiled 113 to 84 computations (25.7% saved)

simplify34.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

35×	`*-commutative_binary64`
29×	`+-commutative_binary64`
29×	`sub-neg_binary64`
18×	`neg-sub0_binary64`
18×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	335
1	138	335
2	202	335
3	245	335
4	268	335
5	274	335

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 y (/.f64 (.f64 z t) 3)) -40000000000000001205106396005621700115619461590987805153284319196130965335105849312844494250765830542729753720686911312718677365467455093787539980079822879945114658246976855201041588226249182240896863721078041513152565409611412479665717649856705589384577024) (-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (.f64 (/.f64 (/.f64 a 3) b) 1)) (if (<=.f64 (-.f64 y (/.f64 (.f64 z t) 3)) 2000000000000000105009520510408840497408937162216318309831708231023604915977816391572742750160895728087408887665767756353885046470720861151289584369573413965696774401853151607475660467589576180118737906469941599890162238077935281760149305485560284989158517577640113685676231338944392773730918801080320) (-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (-.f64 y (.f64 t (.f64 1/3 z)))) (cos.f64 (fma.f64 (neg.f64 z) (.f64 t 1/3) (.f64 t (.f64 1/3 z))))) (.f64 (sin.f64 (-.f64 y (.f64 t (.f64 1/3 z)))) (sin.f64 (fma.f64 (neg.f64 z) (.f64 t 1/3) (.f64 t (.f64 1/3 z))))))) (/.f64 a (.f64 b 3))) (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (pow.f64 (*.f64 (/.f64 3 a) b) -1) 1))))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 (/.f64 a 3) b) 1))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1/3 b) a))
(if (<=.f64 (/.f64 a (.f64 b 3)) -5092589940836215/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344) (-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3))) (if (<=.f64 (/.f64 a (.f64 b 3)) 4542742026847543/45427420268475430659332737993000283397102585042957378767593137448789955507087370207886940669610222847547657600391636120845912601788416) (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 (/.f64 a 3) b) 1))))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 (/.f64 a 3) b) 1))
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
(/.f64 (*.f64 -1/3 a) b)
(*.f64 (/.f64 -1/3 b) a)

Outputs
(if (<=.f64 (-.f64 y (/.f64 (.f64 z t) 3)) -40000000000000001205106396005621700115619461590987805153284319196130965335105849312844494250765830542729753720686911312718677365467455093787539980079822879945114658246976855201041588226249182240896863721078041513152565409611412479665717649856705589384577024) (-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (.f64 (/.f64 (/.f64 a 3) b) 1)) (if (<=.f64 (-.f64 y (/.f64 (.f64 z t) 3)) 2000000000000000105009520510408840497408937162216318309831708231023604915977816391572742750160895728087408887665767756353885046470720861151289584369573413965696774401853151607475660467589576180118737906469941599890162238077935281760149305485560284989158517577640113685676231338944392773730918801080320) (-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (-.f64 y (.f64 t (.f64 1/3 z)))) (cos.f64 (fma.f64 (neg.f64 z) (.f64 t 1/3) (.f64 t (.f64 1/3 z))))) (.f64 (sin.f64 (-.f64 y (.f64 t (.f64 1/3 z)))) (sin.f64 (fma.f64 (neg.f64 z) (.f64 t 1/3) (.f64 t (.f64 1/3 z))))))) (/.f64 a (.f64 b 3))) (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (pow.f64 (*.f64 (/.f64 3 a) b) -1) 1))))
(if (<=.f64 (-.f64 y (/.f64 (.f64 z t) 3)) -40000000000000001205106396005621700115619461590987805153284319196130965335105849312844494250765830542729753720686911312718677365467455093787539980079822879945114658246976855201041588226249182240896863721078041513152565409611412479665717649856705589384577024) (-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 (/.f64 a 3) b)) (if (<=.f64 (-.f64 y (/.f64 (.f64 z t) 3)) 2000000000000000105009520510408840497408937162216318309831708231023604915977816391572742750160895728087408887665767756353885046470720861151289584369573413965696774401853151607475660467589576180118737906469941599890162238077935281760149305485560284989158517577640113685676231338944392773730918801080320) (-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3)))) (cos.f64 (fma.f64 (neg.f64 z) (.f64 t 1/3) (.f64 t (.f64 z 1/3))))) (.f64 (sin.f64 (-.f64 y (.f64 t (.f64 z 1/3)))) (sin.f64 (fma.f64 (neg.f64 z) (.f64 t 1/3) (.f64 t (.f64 z 1/3))))))) (/.f64 a (.f64 3 b))) (-.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (*.f64 b (/.f64 3 a)) -1))))
(if (<=.f64 (-.f64 y (/.f64 (.f64 z t) 3)) -40000000000000001205106396005621700115619461590987805153284319196130965335105849312844494250765830542729753720686911312718677365467455093787539980079822879945114658246976855201041588226249182240896863721078041513152565409611412479665717649856705589384577024) (-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 (/.f64 a 3) b)) (if (<=.f64 (-.f64 y (/.f64 (.f64 z t) 3)) 2000000000000000105009520510408840497408937162216318309831708231023604915977816391572742750160895728087408887665767756353885046470720861151289584369573413965696774401853151607475660467589576180118737906469941599890162238077935281760149305485560284989158517577640113685676231338944392773730918801080320) (-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (+.f64 y (.f64 t (.f64 z -1/3)))) (cos.f64 (fma.f64 (neg.f64 z) (.f64 t 1/3) (.f64 t (.f64 z 1/3))))) (.f64 (sin.f64 (+.f64 y (.f64 t (.f64 z -1/3)))) (sin.f64 (fma.f64 (neg.f64 z) (.f64 t 1/3) (.f64 t (.f64 z 1/3))))))) (/.f64 a (.f64 3 b))) (-.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (*.f64 b (/.f64 3 a)) -1))))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 (/.f64 a 3) b) 1))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 (/.f64 a 3) b))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 3 b)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1/3 b) a))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 a (/.f64 1/3 b)))
(+.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 a (/.f64 -1/3 b)))
(if (<=.f64 (/.f64 a (.f64 b 3)) -5092589940836215/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344) (-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3))) (if (<=.f64 (/.f64 a (.f64 b 3)) 4542742026847543/45427420268475430659332737993000283397102585042957378767593137448789955507087370207886940669610222847547657600391636120845912601788416) (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 (/.f64 a 3) b) 1))))
(if (<=.f64 (/.f64 a (.f64 3 b)) -5092589940836215/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344) (-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 3 b))) (if (<=.f64 (/.f64 a (.f64 3 b)) 4542742026847543/45427420268475430659332737993000283397102585042957378767593137448789955507087370207886940669610222847547657600391636120845912601788416) (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (-.f64 (*.f64 2 (sqrt.f64 x)) (/.f64 (/.f64 a 3) b))))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 (/.f64 a 3) b) 1))
(-.f64 (*.f64 2 (sqrt.f64 x)) (/.f64 (/.f64 a 3) b))
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 3 b)))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 a b) -1/3))
(/.f64 (*.f64 -1/3 a) b)
(/.f64 (*.f64 a -1/3) b)
(*.f64 (/.f64 -1/3 b) a)
(*.f64 a (/.f64 -1/3 b))

Compiler

Compiled 281 to 208 computations (26% saved)

soundness0.0ms (0%)

end247.0ms (1%)

Compiler: Compiled 437 to 285 computations (34.8% saved)