Details

analyze440.0ms (2.1%)

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)

sample4.1s (19.5%)

Results

1.2s	5907×	body	256	invalid
1.1s	5160×	body	256	valid
953.0ms	1705×	body	1024	valid
595.0ms	696×	body	2048	valid
253.0ms	694×	body	512	valid
2.0ms	1×	body	4096	valid

preprocess70.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

768×	`times-frac_binary64`
435×	`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	6133	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)))
(fma.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 t (/.f64 z 3)))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (fma.f64 z (/.f64 t -3) y)) (.f64 (/.f64 a b) -1/3))
(fma.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (fma.f64 z (/.f64 t -3) y)) (.f64 a (/.f64 -1/3 b)))
(-.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)))
(fma.f64 (.f64 2 (sqrt.f64 y)) (cos.f64 (-.f64 x (/.f64 z (/.f64 3 t)))) (/.f64 (neg.f64 a) (.f64 3 b)))
(fma.f64 (.f64 2 (sqrt.f64 y)) (cos.f64 (-.f64 x (.f64 t (/.f64 z 3)))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 (.f64 2 (sqrt.f64 y)) (cos.f64 (fma.f64 z (/.f64 t -3) x)) (.f64 (/.f64 a b) -1/3))
(fma.f64 (.f64 2 (sqrt.f64 y)) (cos.f64 (fma.f64 z (/.f64 t -3) x)) (.f64 a (/.f64 -1/3 b)))
(fma.f64 2 (.f64 (sqrt.f64 y) (cos.f64 (fma.f64 z (/.f64 t -3) x))) (.f64 a (/.f64 -1/3 b)))
(-.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)))
(fma.f64 2 (.f64 (sqrt.f64 z) (cos.f64 (-.f64 y (.f64 (/.f64 x 3) t)))) (/.f64 (neg.f64 a) (*.f64 3 b)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 z) (cos.f64 (-.f64 y (.f64 t (/.f64 x 3)))))) (/.f64 a (.f64 3 b)))
(fma.f64 2 (.f64 (sqrt.f64 z) (cos.f64 (-.f64 y (/.f64 x (/.f64 3 t))))) (.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 z) (cos.f64 (fma.f64 (/.f64 t -3) x y))) (.f64 (/.f64 a b) -1/3))
(fma.f64 2 (.f64 (sqrt.f64 z) (cos.f64 (fma.f64 x (/.f64 t -3) y))) (.f64 a (/.f64 -1/3 b)))
(-.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 (.f64 2 (sqrt.f64 t)) (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 (sqrt.f64 t) (.f64 2 (cos.f64 (fma.f64 (/.f64 z 3) (neg.f64 x) y))) (.f64 -1/3 (/.f64 a b)))
(fma.f64 (sqrt.f64 t) (.f64 2 (cos.f64 (fma.f64 x (.f64 -1/3 z) y))) (*.f64 (/.f64 a b) -1/3))
(fma.f64 (sqrt.f64 t) (.f64 2 (cos.f64 (fma.f64 x (.f64 z -1/3) y))) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 2 (.f64 (sqrt.f64 t) (cos.f64 (fma.f64 x (.f64 z -1/3) y))) (*.f64 a (/.f64 -1/3 b)))
(-.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)))
(fma.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 t (/.f64 z 3)))) (sqrt.f64 a)) (*.f64 -1/3 (/.f64 x b)))
(fma.f64 2 (.f64 (cos.f64 (fma.f64 z (/.f64 t -3) y)) (sqrt.f64 a)) (.f64 (/.f64 x b) -1/3))
(fma.f64 2 (.f64 (cos.f64 (fma.f64 z (/.f64 t -3) y)) (sqrt.f64 a)) (.f64 x (/.f64 -1/3 b)))
(-.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 z (/.f64 3 t)))) (.f64 2 (sqrt.f64 b))) (/.f64 a (*.f64 x 3)))
(fma.f64 (cos.f64 (-.f64 y (.f64 t (/.f64 z 3)))) (.f64 2 (sqrt.f64 b)) (*.f64 -1/3 (/.f64 a x)))
(fma.f64 (cos.f64 (fma.f64 z (/.f64 t -3) y)) (.f64 2 (sqrt.f64 b)) (.f64 (/.f64 a x) -1/3))
(fma.f64 (cos.f64 (fma.f64 z (/.f64 t -3) y)) (.f64 2 (sqrt.f64 b)) (.f64 a (/.f64 -1/3 x)))
(-.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 (/.f64 y 3) t))))) (/.f64 a (.f64 3 b)))
(fma.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 z (.f64 t (/.f64 y 3)))) (/.f64 (neg.f64 a) (*.f64 3 b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 z (/.f64 y (/.f64 3 t))))) (.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 t (/.f64 y -3) z))) (.f64 (/.f64 a b) -1/3))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 y (/.f64 t -3) z))) (.f64 a (/.f64 -1/3 b)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 t (/.f64 (.f64 z y) 3)))) (/.f64 a (.f64 b 3)))
(fma.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 t (/.f64 z (/.f64 3 y)))) (neg.f64 (/.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 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 t (/.f64 y (/.f64 3 z)))) (/.f64 (neg.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 y (.f64 -1/3 z) t))) (*.f64 (/.f64 a b) -1/3))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 y (.f64 z -1/3) t))) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (fma.f64 y (.f64 z -1/3) t)) (*.f64 a (/.f64 -1/3 b)))
(-.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 z (/.f64 3 t))))) (/.f64 y (*.f64 3 b)))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (-.f64 a (/.f64 z (/.f64 3 t)))))) (/.f64 y (*.f64 3 b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 a (.f64 t (/.f64 z 3))))) (*.f64 -1/3 (/.f64 y b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (/.f64 t -3) a))) (/.f64 (/.f64 y -3) b))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (/.f64 t -3) a))) (.f64 y (/.f64 -1/3 b)))
(-.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)))
(fma.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 b (.f64 t (/.f64 z 3)))) (*.f64 -1/3 (/.f64 a y)))
(fma.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (fma.f64 z (/.f64 t -3) b)) (.f64 (/.f64 a y) -1/3))
(fma.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (fma.f64 z (/.f64 t -3) b)) (.f64 a (/.f64 -1/3 y)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (/.f64 t -3) b))) (/.f64 (/.f64 a -3) y))
(-.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)))
(fma.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 t (/.f64 z 3)))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (fma.f64 z (/.f64 t -3) y)) (.f64 (/.f64 a b) -1/3))
(fma.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (fma.f64 z (/.f64 t -3) y)) (.f64 a (/.f64 -1/3 b)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 a t) 3)))) (/.f64 z (.f64 b 3)))
(fma.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 a (/.f64 3 t)))) (neg.f64 (/.f64 (/.f64 z b) 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 a (/.f64 3 t))))) (/.f64 z (*.f64 3 b)))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (-.f64 y (/.f64 a (/.f64 3 t)))))) (/.f64 z (*.f64 3 b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (/.f64 a (/.f64 3 t))))) (.f64 -1/3 (/.f64 z b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 (/.f64 t -3) a y))) (.f64 (/.f64 z b) -1/3))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 a (/.f64 t -3) y))) (.f64 z (/.f64 -1/3 b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 t (/.f64 a -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)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 b (/.f64 3 t))))) (/.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 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 t (/.f64 b 3)))) (*.f64 -1/3 (/.f64 a z)))
(fma.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (fma.f64 (/.f64 t -3) b y)) (.f64 (/.f64 a z) -1/3))
(fma.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (fma.f64 b (/.f64 t -3) y)) (.f64 a (/.f64 -1/3 z)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 b (/.f64 t -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)))
(fma.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 a (/.f64 3 z)))) (/.f64 (neg.f64 t) (.f64 3 b)))
(fma.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (fma.f64 (/.f64 z 3) (neg.f64 a) y)) (.f64 -1/3 (/.f64 t b)))
(fma.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (fma.f64 (.f64 -1/3 a) z y)) (/.f64 (/.f64 t -3) b))
(fma.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (fma.f64 z (.f64 a -1/3) y)) (/.f64 (/.f64 t -3) b))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (/.f64 a -3) y))) (/.f64 (/.f64 t -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)))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (-.f64 y (/.f64 z (/.f64 3 b)))))) (/.f64 (/.f64 a t) 3))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (-.f64 y (*.f64 (/.f64 b 3) z))))) (/.f64 (/.f64 a t) 3))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (.f64 z (/.f64 b 3))))) (*.f64 -1/3 (/.f64 a t)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 b (.f64 -1/3 z) y))) (*.f64 (/.f64 a t) -1/3))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 b -1/3) y))) (/.f64 a (*.f64 t -3)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 b -1/3) y))) (*.f64 (/.f64 a t) -1/3))
(-.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)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (.f64 t (/.f64 z 3))))) (*.f64 -1/3 (/.f64 b a)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (/.f64 t -3) y))) (.f64 (/.f64 b a) -1/3))

Symmetry

(sort z t)

Compiler

Compiled 31 to 25 computations (19.4% saved)

simplify41.0ms (0.2%)

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`
108×	`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	922	25
8	1213	25
9	1748	25
10	2412	25
11	2780	25
12	2871	25
13	2887	25
14	2887	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 t (/.f64 3 z)))))) (/.f64 a (*.f64 3 b)))
(fma.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 t (/.f64 3 z)))) (/.f64 (/.f64 (neg.f64 a) 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 t (.f64 -1/3 z) y))) (/.f64 (*.f64 -1/3 a) b))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 -1/3 t) 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 a (/.f64 -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

20.3b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	20.8b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (*.f64 a (/.f64 -1/3 b)))
▶	20.6b	(-.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)

localize14.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(/.f64 a (*.f64 b 3))
	0.2b	(/.f64 (*.f64 z t) 3)
	0.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))
	0.0b	(-.f64 y (/.f64 (*.f64 z t) 3))
✓	0.2b	(/.f64 (*.f64 z t) 3)
✓	0.2b	(/.f64 a (*.f64 b 3))
✓	0.3b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
✓	24.3b	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))

series35.0ms (0.2%)

Counts

4 → 120

Calls

33 calls:

Time	Variable		Point	Expression
8.0ms	y	@	0	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))
3.0ms	t	@	inf	(/.f64 (*.f64 z t) 3)
2.0ms	t	@	inf	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
2.0ms	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))))

rewrite87.0ms (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	5245	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
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(.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))) (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.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) 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(#(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 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) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (sqrt.f64 (.f64 x 4))) (.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) (sqrt.f64 (.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 (.f64 x 4)) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3))))) (.f64 (sqrt.f64 (.f64 x 4)) (.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)) (sqrt.f64 (.f64 x 4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (sqrt.f64 (.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (sqrt.f64 (.f64 x 4))) 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)) (sqrt.f64 (.f64 x 4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (sqrt.f64 (.f64 x 4)))) 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))) (sqrt.f64 (.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (sqrt.f64 (.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (sqrt.f64 (.f64 x 4))) 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 (sqrt.f64 (.f64 x 4)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 x 4)) 3) (pow.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x 4)) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (sqrt.f64 (.f64 x 4)) (.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)))) (sqrt.f64 (.f64 x 4)) (.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) (sqrt.f64 (.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (sqrt.f64 (.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (sqrt.f64 (.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (sqrt.f64 (.f64 x 4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (sqrt.f64 (*.f64 x 4)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 a (/.f64 1/3 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 a (/.f64 1/3 b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a (/.f64 1/3 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 a (/.f64 1/3 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 a (/.f64 1/3 b))) (cbrt.f64 (pow.f64 (.f64 a (/.f64 1/3 b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 a (/.f64 1/3 b)) 2)) (cbrt.f64 (.f64 a (/.f64 1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 a a)) (.f64 (cbrt.f64 a) (/.f64 1/3 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 a (/.f64 1/3 b))) (sqrt.f64 (.f64 a (/.f64 1/3 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 (cbrt.f64 (.f64 a a)) 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 (sqrt.f64 a) b) (/.f64 (sqrt.f64 a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (.f64 a a)) 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 1 b) (/.f64 a 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (.f64 a a)) b) (/.f64 (cbrt.f64 a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 3 b)) 2)) (/.f64 a (cbrt.f64 (.f64 3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (.f64 a a)) (pow.f64 (cbrt.f64 (.f64 3 b)) 2)) (cbrt.f64 (.f64 a (/.f64 1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 (.f64 3 b)) 2)) (/.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 (cbrt.f64 (.f64 a a)) (sqrt.f64 (.f64 3 b))) (/.f64 (cbrt.f64 a) (sqrt.f64 (.f64 3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a (/.f64 1/3 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 a (/.f64 1/3 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 a (/.f64 1/3 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 a (/.f64 1/3 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 3 (/.f64 a b)) -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 a (/.f64 1/3 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 a (/.f64 1/3 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 a (/.f64 1/3 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 a (/.f64 1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 a (/.f64 1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 a (/.f64 1/3 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 a (/.f64 1/3 b))))))))
((#(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))) (cbrt.f64 (.f64 (pow.f64 (.f64 z t) 2) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (pow.f64 (.f64 z t) 2) 1/9)) (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 t (neg.f64 z)) -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 (pow.f64 (.f64 z (.f64 t 1/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 3 (.f64 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 (.f64 (pow.f64 (.f64 z t) 2) 1/9))))) (#(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 (pow.f64 (.f64 z (.f64 t 1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.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))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 z (.f64 t 1/3))))))))

simplify69.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

708×	`associate-r_binary64`
684×	`associate-l_binary64`
645×	`fma-def_binary64`
396×	`distribute-rgt-neg-out_binary64`
337×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	100	1982
1	305	1827
2	970	1713
3	4518	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 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 1/3 (.f64 t z))) (cos.f64 (.f64 1/3 (.f64 t z))))
(fma.f64 y (sin.f64 (.f64 t (.f64 1/3 z))) (cos.f64 (.f64 t (.f64 1/3 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 t (.f64 1/3 z))) (fma.f64 -1/2 (.f64 y y) 1) (.f64 y (sin.f64 (.f64 t (.f64 1/3 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 (.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 -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 t (.f64 1/3 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)))
(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 (.f64 t (.f64 1/3 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))))))
(+.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 t (.f64 t (.f64 z (.f64 z (cos.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))) (fma.f64 (.f64 (.f64 -1/18 (.f64 t z)) (.f64 t z)) (cos.f64 y) (cos.f64 y)))
(fma.f64 t (.f64 1/3 (.f64 z (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 t (.f64 t (.f64 z (.f64 z (cos.f64 y))))) (fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (cos.f64 y))))
(+.f64 (fma.f64 (.f64 (.f64 -1/18 (.f64 t z)) (.f64 t z)) (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 t t) (.f64 (cos.f64 y) (.f64 z (.f64 z -1/18))) (cos.f64 y)) (.f64 (sin.f64 y) (+.f64 (.f64 t (.f64 1/3 z)) (.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 (.f64 t (.f64 1/3 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))))))
(+.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 t (.f64 t (.f64 z (.f64 z (cos.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))) (fma.f64 (.f64 (.f64 -1/18 (.f64 t z)) (.f64 t z)) (cos.f64 y) (cos.f64 y)))
(fma.f64 t (.f64 1/3 (.f64 z (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 t (.f64 t (.f64 z (.f64 z (cos.f64 y))))) (fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (cos.f64 y))))
(+.f64 (fma.f64 (.f64 (.f64 -1/18 (.f64 t z)) (.f64 t z)) (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 t t) (.f64 (cos.f64 y) (.f64 z (.f64 z -1/18))) (cos.f64 y)) (.f64 (sin.f64 y) (+.f64 (.f64 t (.f64 1/3 z)) (.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 t (.f64 1/3 z))) (.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 (cos.f64 (.f64 1/3 (.f64 t z))) 2) (.f64 (.f64 -2 y) (sin.f64 (.f64 (.f64 t z) -1/3)))))
(.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)))))))
(.f64 (sqrt.f64 x) (fma.f64 (cos.f64 (.f64 t (.f64 1/3 z))) 2 (.f64 y (.f64 2 (sin.f64 (.f64 t (*.f64 1/3 z)))))))
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(.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 (cos.f64 (fma.f64 (.f64 t z) -1/3 y)) (*.f64 2 (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 (cos.f64 (fma.f64 (.f64 t z) -1/3 y)) (*.f64 2 (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 (cos.f64 (fma.f64 (.f64 t z) -1/3 y)) (*.f64 2 (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 (cos.f64 (fma.f64 (.f64 t z) -1/3 y)) (*.f64 2 (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 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 1/3 (.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 1/3 (.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))

localize15.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.3b	(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y)))
	0.2b	(*.f64 a (/.f64 -1/3 b))
	0.1b	(fma.f64 z (*.f64 t -1/3) y)
	0.0b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (*.f64 a (/.f64 -1/3 b)))
✓	0.3b	(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y)))
✓	0.3b	(*.f64 t -1/3)
✓	0.3b	(/.f64 -1/3 b)
✓	24.0b	(cos.f64 (fma.f64 z (*.f64 t -1/3) y))

series17.0ms (0.1%)

Counts

4 → 84

Calls

27 calls:

Time	Variable		Point	Expression
3.0ms	b	@	-inf	(/.f64 -1/3 b)
2.0ms	x	@	0	(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y)))
1.0ms	x	@	-inf	(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y)))
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))

rewrite88.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

615×	`log-prod_binary64`
364×	`pow-prod-down_binary64`
339×	`pow2_binary64`
237×	`pow1/3_binary64`
236×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	33
1	263	33
2	3113	33

Stop Event

1×	node limit

Counts

4 → 102

Calls

Call 1

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

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

simplify86.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

837×	`cancel-sign-sub-inv_binary64`
713×	`fma-neg_binary64`
649×	`associate-l_binary64`
627×	`fma-def_binary64`
520×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	85	1492
1	251	1396
2	790	1330
3	3487	1310
4	5360	1310

Stop Event

1×	node limit

Counts

186 → 140

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

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

eval180.0ms (0.9%)

Compiler: Compiled 7837 to 4815 computations (38.6% saved)

prune179.0ms (0.9%)

Pruning

56 alts after pruning (56 fresh and 0 done)

	Pruned	Kept	Total
New	250	56	306
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	252	56	308

Error

14.6b

Counts

308 → 56

Alt Table

Click to see full alt table

Status	Error	Program
	21.0b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (sqrt.f64 (.f64 x 4)))) 3) (/.f64 a (.f64 b 3)))
	20.8b	(fma.f64 2 (.f64 (sqrt.f64 x) (log1p.f64 (expm1.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))) (*.f64 a (/.f64 -1/3 b)))
	40.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (sqrt.f64 (.f64 z (.f64 t 1/3))) 2)))) (/.f64 a (*.f64 b 3)))
	20.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 z (/.f64 1 (/.f64 3 t)))))) (/.f64 a (.f64 b 3)))
	39.0b	(-.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (sqrt.f64 (.f64 x 4))) 3) 1/3) (/.f64 a (.f64 b 3)))
	20.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 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)))))) (/.f64 a (.f64 b 3)))
	24.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) 2))) (/.f64 a (.f64 b 3)))
	20.2b	(-.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)))
	25.0b	(-.f64 (+.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 a (*.f64 b 3)))
	20.6b	(-.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)))
	20.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 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)))))) (/.f64 a (.f64 b 3)))
	20.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)))) 1)) (/.f64 a (.f64 b 3)))
▶	17.0b	(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (/.f64 a (*.f64 b 3)))
	28.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z))))) (/.f64 a (*.f64 b 3)))
▶	32.7b	(-.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (sqrt.f64 (.f64 x 4))))) 1) (/.f64 a (.f64 b 3)))
	20.8b	(-.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)))
	38.0b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (expm1.f64 (log1p.f64 (.f64 t -1/3))) y))) (*.f64 a (/.f64 -1/3 b)))
	20.9b	(fma.f64 2 (.f64 (sqrt.f64 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))) (*.f64 a (/.f64 -1/3 b)))
	20.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 z 3) t)))) (/.f64 a (.f64 b 3)))
▶	35.5b	(fma.f64 2 (pow.f64 (sqrt.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (sqrt.f64 x))) 2) (*.f64 a (/.f64 -1/3 b)))
	28.6b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (cbrt.f64 (pow.f64 (.f64 t -1/3) 3)) y))) (*.f64 a (/.f64 -1/3 b)))
	38.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (exp.f64 (log.f64 (.f64 a (/.f64 1/3 b)))))
	20.4b	(-.f64 (+.f64 (.f64 (sqrt.f64 (.f64 x 4)) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3))))) (.f64 (sqrt.f64 (.f64 x 4)) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))))) (/.f64 a (*.f64 b 3)))
	21.1b	(fma.f64 2 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (sqrt.f64 x))) 3) (*.f64 a (/.f64 -1/3 b)))
	28.2b	(fma.f64 2 (.f64 (cos.f64 (.f64 z (.f64 t -1/3))) (sqrt.f64 x)) (.f64 a (/.f64 -1/3 b)))
	21.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 3 b)) 2)) (/.f64 a (cbrt.f64 (.f64 3 b)))))
	20.4b	(-.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)))
	25.0b	(-.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)))
	20.8b	(fma.f64 2 (.f64 (sqrt.f64 x) (expm1.f64 (log1p.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))) (*.f64 a (/.f64 -1/3 b)))
	27.0b	(-.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 x 4)) 3) (pow.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) 3))) (/.f64 a (.f64 b 3)))
	20.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 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))))))) (/.f64 a (*.f64 b 3)))
▶	40.2b	(-.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)))
	40.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (sqrt.f64 (.f64 z t)) (.f64 (sqrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
	20.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 1 b) (/.f64 a 3)))
	46.2b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (pow.f64 (pow.f64 (.f64 t -1/3) 3) 1/3) y))) (*.f64 a (/.f64 -1/3 b)))
	20.9b	(fma.f64 2 (.f64 (sqrt.f64 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))))))) (.f64 a (/.f64 -1/3 b)))
	20.5b	(-.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)))
	36.4b	(fma.f64 2 (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (sqrt.f64 x)))) 1/3)) (*.f64 a (/.f64 -1/3 b)))
	38.9b	(fma.f64 2 (.f64 (sqrt.f64 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)))) (.f64 a (/.f64 -1/3 b)))
	20.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (pow.f64 (/.f64 3 (/.f64 a b)) -1))
	20.7b	(-.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)))
▶	28.1b	(-.f64 (.f64 (cos.f64 (.f64 t (.f64 1/3 z))) (.f64 2 (sqrt.f64 x))) (/.f64 a (*.f64 b 3)))
	20.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 a b) 1/3))
	24.9b	(-.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)))
	36.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 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)))))) (/.f64 a (.f64 b 3)))
	36.2b	(fma.f64 2 (exp.f64 (log.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (sqrt.f64 x)))) (*.f64 a (/.f64 -1/3 b)))
	37.0b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (cos.f64 y) (+.f64 (.f64 (.f64 (.f64 t t) -1/9) (.f64 z z)) 2)) (.f64 (sin.f64 y) (.f64 (.f64 t 2/3) z)))) (/.f64 a (.f64 b 3)))
	20.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (/.f64 3 (.f64 z t)) -1)))) (/.f64 a (.f64 b 3)))
	20.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 1/3 b) a))
	20.8b	(-.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)))
	36.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (pow.f64 (.f64 z (.f64 t 1/3)) 3) 1/3)))) (/.f64 a (*.f64 b 3)))
	20.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3))))) (/.f64 a (*.f64 b 3)))
	42.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (pow.f64 (pow.f64 (.f64 a (/.f64 1/3 b)) 3) 1/3))
	35.9b	(-.f64 (exp.f64 (log.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (sqrt.f64 (.f64 x 4))))) (/.f64 a (.f64 b 3)))
	20.7b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (pow.f64 (cbrt.f64 (.f64 t -1/3)) 3) y))) (*.f64 a (/.f64 -1/3 b)))
	21.3b	(fma.f64 2 (.f64 (sqrt.f64 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))))))) (.f64 a (/.f64 -1/3 b)))

Compiler

Compiled 3400 to 2576 computations (24.2% saved)

localize13.0ms (0.1%)

Local error

Found 6 expressions with local error:

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

series11.0ms (0.1%)

Counts

2 → 49

Calls

18 calls:

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

rewrite82.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

767×	`log-prod_binary64`
385×	`pow2_binary64`
343×	`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	3948	31

Stop Event

1×	node limit

Counts

2 → 152

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 a (neg.f64 (/.f64 1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 (*.f64 a (neg.f64 (/.f64 1/3 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.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 +.f64 (-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.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 +.f64 (-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.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 +.f64 (-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.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 +.f64 (*.f64 a (neg.f64 (/.f64 1/3 b))) (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 a (/.f64 1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 a (/.f64 1/3 b))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 a (/.f64 1/3 b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 a (/.f64 1/3 b)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 a (/.f64 1/3 b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 a (/.f64 1/3 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 a (/.f64 1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 a (/.f64 1/3 b)))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 a (/.f64 1/3 b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 a (/.f64 1/3 b)))) 2) (cbrt.f64 (-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 a (/.f64 1/3 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 a (/.f64 1/3 b)))) (sqrt.f64 (-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 a (/.f64 1/3 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) 3) (/.f64 (pow.f64 (/.f64 a b) 3) 27)) (/.f64 1 (fma.f64 x (*.f64 (pow.f64 (cos.f64 y) 2) 4) (*.f64 (*.f64 a (/.f64 1/3 b)) (fma.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y)) (*.f64 a (/.f64 1/3 b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x (*.f64 (pow.f64 (cos.f64 y) 2) 4)) (/.f64 (pow.f64 (/.f64 a b) 2) 9)) (/.f64 1 (fma.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y)) (*.f64 a (/.f64 1/3 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 1/4) (sqrt.f64 (*.f64 2 (cos.f64 y))) (sqrt.f64 (*.f64 a (/.f64 1/3 b)))) (-.f64 (sqrt.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))) (sqrt.f64 (*.f64 a (/.f64 1/3 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (*.f64 (pow.f64 (cos.f64 y) 2) 4) (*.f64 (*.f64 a (/.f64 1/3 b)) (fma.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y)) (*.f64 a (/.f64 1/3 b))))) (-.f64 (pow.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) 3) (/.f64 (pow.f64 (/.f64 a b) 3) 27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y)) (*.f64 a (/.f64 1/3 b))) (-.f64 (*.f64 x (*.f64 (pow.f64 (cos.f64 y) 2) 4)) (/.f64 (pow.f64 (/.f64 a b) 2) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) 3) (/.f64 (pow.f64 (/.f64 a b) 3) 27)) (fma.f64 x (*.f64 (pow.f64 (cos.f64 y) 2) 4) (*.f64 (*.f64 a (/.f64 1/3 b)) (fma.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y)) (*.f64 a (/.f64 1/3 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x (*.f64 (pow.f64 (cos.f64 y) 2) 4)) (/.f64 (pow.f64 (/.f64 a b) 2) 9)) (fma.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y)) (*.f64 a (/.f64 1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) 3) (/.f64 (pow.f64 (/.f64 a b) 3) 27))) (neg.f64 (fma.f64 x (*.f64 (pow.f64 (cos.f64 y) 2) 4) (*.f64 (*.f64 a (/.f64 1/3 b)) (fma.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y)) (*.f64 a (/.f64 1/3 b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x (*.f64 (pow.f64 (cos.f64 y) 2) 4)) (/.f64 (pow.f64 (/.f64 a b) 2) 9))) (neg.f64 (fma.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y)) (*.f64 a (/.f64 1/3 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3/2) (pow.f64 (*.f64 2 (cos.f64 y)) 3) (pow.f64 (*.f64 a (neg.f64 (/.f64 1/3 b))) 3)) (fma.f64 x (*.f64 (pow.f64 (cos.f64 y) 2) 4) (-.f64 (pow.f64 (*.f64 a (neg.f64 (/.f64 1/3 b))) 2) (*.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 a (neg.f64 (/.f64 1/3 b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x (*.f64 (pow.f64 (cos.f64 y) 2) 4)) (pow.f64 (*.f64 a (neg.f64 (/.f64 1/3 b))) 2)) (-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 a (neg.f64 (/.f64 1/3 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 a (/.f64 1/3 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 a (/.f64 1/3 b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 a (/.f64 1/3 b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 a (/.f64 1/3 b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (*.f64 (pow.f64 (cos.f64 y) 2) 4) (*.f64 (*.f64 a (/.f64 1/3 b)) (fma.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y)) (*.f64 a (/.f64 1/3 b))))) (-.f64 (pow.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) 3) (/.f64 (pow.f64 (/.f64 a b) 3) 27))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y)) (*.f64 a (/.f64 1/3 b))) (-.f64 (*.f64 x (*.f64 (pow.f64 (cos.f64 y) 2) 4)) (/.f64 (pow.f64 (/.f64 a b) 2) 9))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 a (/.f64 1/3 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 x 1/4) (sqrt.f64 (*.f64 2 (cos.f64 y))) (sqrt.f64 (*.f64 a (/.f64 1/3 b)))) (-.f64 (sqrt.f64 (*.f64 2 (*.f64 (cos.f64 y) (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 (fma.f64 (pow.f64 x 1/4) (sqrt.f64 (*.f64 2 (cos.f64 y))) (sqrt.f64 (*.f64 a (/.f64 1/3 b)))) (-.f64 (sqrt.f64 (*.f64 2 (*.f64 (cos.f64 y) (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 (fma.f64 (pow.f64 x 1/4) (sqrt.f64 (*.f64 2 (cos.f64 y))) (sqrt.f64 (*.f64 a (/.f64 1/3 b)))) (-.f64 (sqrt.f64 (*.f64 2 (*.f64 (cos.f64 y) (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 (fma.f64 (pow.f64 x 1/4) (sqrt.f64 (*.f64 2 (cos.f64 y))) (sqrt.f64 (*.f64 a (/.f64 1/3 b)))) (-.f64 (sqrt.f64 (*.f64 2 (*.f64 (cos.f64 y) (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 2 (*.f64 (cos.f64 y) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) 2 (*.f64 a (neg.f64 (/.f64 1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) 2 (*.f64 (*.f64 a (neg.f64 (/.f64 1/3 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 2 (cos.f64 y))) 2)) (cbrt.f64 (*.f64 2 (cos.f64 y))) (*.f64 a (neg.f64 (/.f64 1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 2 (cos.f64 y))) 2)) (cbrt.f64 (*.f64 2 (cos.f64 y))) (*.f64 (*.f64 a (neg.f64 (/.f64 1/3 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 2 (cos.f64 y)))) (sqrt.f64 (*.f64 2 (cos.f64 y))) (*.f64 a (neg.f64 (/.f64 1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 2 (cos.f64 y)))) (sqrt.f64 (*.f64 2 (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 (cos.f64 y)) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (*.f64 a (neg.f64 (/.f64 1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 2 (cos.f64 y)) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (*.f64 (*.f64 a (neg.f64 (/.f64 1/3 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 2 (cos.f64 y)) (pow.f64 x 1/4)) (pow.f64 x 1/4) (*.f64 a (neg.f64 (/.f64 1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 2 (cos.f64 y)) (pow.f64 x 1/4)) (pow.f64 x 1/4) (*.f64 (*.f64 a (neg.f64 (/.f64 1/3 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (sqrt.f64 x) 2) 1) (cos.f64 y) (*.f64 a (neg.f64 (/.f64 1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (sqrt.f64 x) 2) 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 (sqrt.f64 x) 2) (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 (sqrt.f64 x) 2) (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 (sqrt.f64 x) 2) (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 (sqrt.f64 x) 2) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (*.f64 (*.f64 a (neg.f64 (/.f64 1/3 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 a (/.f64 1/3 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 a (/.f64 1/3 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 a (/.f64 1/3 b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 a (/.f64 1/3 b)))))))))

simplify50.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

917×	`fma-def_binary64`
490×	`distribute-rgt-neg-in_binary64`
446×	`distribute-lft-neg-in_binary64`
370×	`associate-l_binary64`
323×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	845
1	106	817
2	285	775
3	947	771
4	3965	771

Stop Event

1×	node limit

Counts

201 → 174

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

localize13.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(/.f64 a (*.f64 b 3))
	0.2b	(.f64 (cos.f64 (.f64 t (.f64 1/3 z))) (.f64 2 (sqrt.f64 x)))
	0.2b	(.f64 t (.f64 1/3 z))
	0.0b	(-.f64 (.f64 (cos.f64 (.f64 t (.f64 1/3 z))) (.f64 2 (sqrt.f64 x))) (/.f64 a (*.f64 b 3)))
✓	0.2b	(.f64 (cos.f64 (.f64 t (.f64 1/3 z))) (.f64 2 (sqrt.f64 x)))
	0.2b	(/.f64 a (*.f64 b 3))
✓	0.4b	(*.f64 1/3 z)
✓	29.6b	(cos.f64 (.f64 t (.f64 1/3 z)))

series11.0ms (0.1%)

Counts

3 → 48

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	t	@	0	(cos.f64 (.f64 t (.f64 1/3 z)))
1.0ms	x	@	-inf	(.f64 (cos.f64 (.f64 t (.f64 1/3 z))) (.f64 2 (sqrt.f64 x)))
1.0ms	x	@	0	(.f64 (cos.f64 (.f64 t (.f64 1/3 z))) (.f64 2 (sqrt.f64 x)))
1.0ms	t	@	-inf	(.f64 (cos.f64 (.f64 t (.f64 1/3 z))) (.f64 2 (sqrt.f64 x)))
1.0ms	t	@	0	(.f64 (cos.f64 (.f64 t (.f64 1/3 z))) (.f64 2 (sqrt.f64 x)))

rewrite56.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

592×	`log-prod_binary64`
484×	`prod-diff_binary64`
359×	`pow-prod-down_binary64`
298×	`pow2_binary64`
238×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	30
1	242	30
2	2777	30

Stop Event

1×	node limit

Counts

3 → 69

Calls

Call 1

Inputs
(cos.f64 (.f64 t (.f64 1/3 z)))
(*.f64 1/3 z)
(.f64 (cos.f64 (.f64 t (.f64 1/3 z))) (.f64 2 (sqrt.f64 x)))

Outputs

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

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

simplify160.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

603×	`sqr-pow_binary64`
498×	`distribute-rgt-in_binary64`
497×	`associate-+l+_binary64`
458×	`associate-+r+_binary64`
444×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	50	856
1	134	832
2	398	796
3	1838	796
4	2670	796
5	3087	760
6	4782	760
7	5761	724
8	6325	724
9	6733	724
10	7251	724
11	7795	724

Stop Event

1×	node limit

Counts

117 → 87

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 2 (sqrt.f64 x))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (pow.f64 z 2)) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x)))
(+.f64 (.f64 1/972 (.f64 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (sqrt.f64 x))) (+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (pow.f64 z 2)) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x))))
(+.f64 (.f64 1/972 (.f64 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (sqrt.f64 x))) (+.f64 (.f64 -1/262440 (.f64 (.f64 (pow.f64 t 6) (pow.f64 z 6)) (sqrt.f64 x))) (+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (pow.f64 z 2)) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x)))))
(.f64 2 (.f64 (cos.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 2 (.f64 (cos.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 2 (.f64 (cos.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 2 (.f64 (cos.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 2 (sqrt.f64 x))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (pow.f64 z 2)) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x)))
(+.f64 (.f64 1/972 (.f64 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (sqrt.f64 x))) (+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (pow.f64 z 2)) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x))))
(+.f64 (.f64 1/972 (.f64 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (sqrt.f64 x))) (+.f64 (.f64 -1/262440 (.f64 (.f64 (pow.f64 t 6) (pow.f64 z 6)) (sqrt.f64 x))) (+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (pow.f64 z 2)) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x)))))
(.f64 2 (.f64 (cos.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 2 (.f64 (cos.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 2 (.f64 (cos.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 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (sqrt.f64 x)))

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 t (.f64 t (*.f64 z z))) 1)
(fma.f64 (.f64 t t) (.f64 z (*.f64 z -1/18)) 1)
(fma.f64 -1/18 (.f64 (.f64 t z) (*.f64 t 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 1/1944 (*.f64 (pow.f64 t 4) (pow.f64 z 4)))))
(fma.f64 -1/18 (.f64 (.f64 t t) (.f64 z z)) (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) 1))
(fma.f64 -1/18 (.f64 (.f64 t z) (.f64 t z)) (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) 1))
(fma.f64 -1/18 (.f64 (.f64 t z) (.f64 t z)) (fma.f64 1/1944 (pow.f64 (.f64 t z) 4) 1))
(fma.f64 1/1944 (pow.f64 (.f64 t z) 4) (fma.f64 -1/18 (.f64 (.f64 t z) (.f64 t z)) 1))
(fma.f64 1/1944 (pow.f64 (.f64 t z) 4) (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 (.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 -1/18 (.f64 t (.f64 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 t (.f64 t (.f64 z (.f64 z -1/18)))))))
(+.f64 1 (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (fma.f64 (pow.f64 t 6) (.f64 -1/524880 (pow.f64 z 6)) (.f64 -1/18 (.f64 (.f64 t z) (.f64 t z))))))
(+.f64 1 (fma.f64 -1/18 (.f64 (.f64 t z) (.f64 t z)) (fma.f64 1/1944 (pow.f64 (.f64 t z) 4) (.f64 -1/524880 (pow.f64 (.f64 t z) 6)))))
(+.f64 (fma.f64 1/1944 (pow.f64 (.f64 t z) 4) (.f64 -1/18 (.f64 (.f64 t z) (.f64 t z)))) (fma.f64 -1/524880 (pow.f64 (.f64 t z) 6) 1))
(+.f64 (fma.f64 1/1944 (pow.f64 (.f64 t z) 4) (.f64 -1/18 (pow.f64 (.f64 t z) 2))) (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 t (.f64 t (*.f64 z z))) 1)
(fma.f64 (.f64 t t) (.f64 z (*.f64 z -1/18)) 1)
(fma.f64 -1/18 (.f64 (.f64 t z) (*.f64 t 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 1/1944 (*.f64 (pow.f64 t 4) (pow.f64 z 4)))))
(fma.f64 -1/18 (.f64 (.f64 t t) (.f64 z z)) (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) 1))
(fma.f64 -1/18 (.f64 (.f64 t z) (.f64 t z)) (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) 1))
(fma.f64 -1/18 (.f64 (.f64 t z) (.f64 t z)) (fma.f64 1/1944 (pow.f64 (.f64 t z) 4) 1))
(fma.f64 1/1944 (pow.f64 (.f64 t z) 4) (fma.f64 -1/18 (.f64 (.f64 t z) (.f64 t z)) 1))
(fma.f64 1/1944 (pow.f64 (.f64 t z) 4) (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 (.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 -1/18 (.f64 t (.f64 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 t (.f64 t (.f64 z (.f64 z -1/18)))))))
(+.f64 1 (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (fma.f64 (pow.f64 t 6) (.f64 -1/524880 (pow.f64 z 6)) (.f64 -1/18 (.f64 (.f64 t z) (.f64 t z))))))
(+.f64 1 (fma.f64 -1/18 (.f64 (.f64 t z) (.f64 t z)) (fma.f64 1/1944 (pow.f64 (.f64 t z) 4) (.f64 -1/524880 (pow.f64 (.f64 t z) 6)))))
(+.f64 (fma.f64 1/1944 (pow.f64 (.f64 t z) 4) (.f64 -1/18 (.f64 (.f64 t z) (.f64 t z)))) (fma.f64 -1/524880 (pow.f64 (.f64 t z) 6) 1))
(+.f64 (fma.f64 1/1944 (pow.f64 (.f64 t z) 4) (.f64 -1/18 (pow.f64 (.f64 t z) 2))) (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 2 (sqrt.f64 x))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (pow.f64 z 2)) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x)))
(fma.f64 -1/9 (.f64 (.f64 t t) (.f64 (.f64 z z) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (+.f64 2 (.f64 (.f64 -1/9 (.f64 t t)) (*.f64 z z))))
(.f64 (sqrt.f64 x) (fma.f64 (.f64 (.f64 t t) -1/9) (.f64 z z) 2))
(.f64 (sqrt.f64 x) (fma.f64 (.f64 (.f64 t z) (.f64 t z)) -1/9 2))
(.f64 (sqrt.f64 x) (fma.f64 (pow.f64 (.f64 t z) 2) -1/9 2))
(+.f64 (.f64 1/972 (.f64 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (sqrt.f64 x))) (+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (pow.f64 z 2)) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x))))
(fma.f64 1/972 (.f64 (pow.f64 t 4) (.f64 (pow.f64 z 4) (sqrt.f64 x))) (fma.f64 -1/9 (.f64 (.f64 t t) (.f64 (.f64 z z) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x))))
(fma.f64 1/972 (.f64 (pow.f64 t 4) (.f64 (pow.f64 z 4) (sqrt.f64 x))) (.f64 (sqrt.f64 x) (+.f64 2 (.f64 (.f64 -1/9 (.f64 t t)) (*.f64 z z)))))
(.f64 (sqrt.f64 x) (+.f64 2 (fma.f64 (.f64 (pow.f64 t 4) (pow.f64 z 4)) 1/972 (.f64 (.f64 t t) (.f64 (.f64 -1/9 z) z)))))
(.f64 (sqrt.f64 x) (+.f64 2 (fma.f64 (pow.f64 (.f64 t z) 4) 1/972 (.f64 (.f64 t t) (.f64 (.f64 -1/9 z) z)))))
(.f64 (sqrt.f64 x) (+.f64 2 (fma.f64 (pow.f64 (.f64 t z) 4) 1/972 (.f64 (pow.f64 (.f64 t z) 2) -1/9))))
(+.f64 (.f64 1/972 (.f64 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (sqrt.f64 x))) (+.f64 (.f64 -1/262440 (.f64 (.f64 (pow.f64 t 6) (pow.f64 z 6)) (sqrt.f64 x))) (+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (pow.f64 z 2)) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x)))))
(fma.f64 1/972 (.f64 (pow.f64 t 4) (.f64 (pow.f64 z 4) (sqrt.f64 x))) (fma.f64 -1/262440 (.f64 (pow.f64 t 6) (.f64 (pow.f64 z 6) (sqrt.f64 x))) (fma.f64 -1/9 (.f64 (.f64 t t) (.f64 (.f64 z z) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))))
(+.f64 (.f64 (sqrt.f64 x) (+.f64 2 (.f64 (.f64 -1/9 (.f64 t t)) (.f64 z z)))) (.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 (pow.f64 t 4) (pow.f64 z 4)) 1/972) (.f64 (.f64 (pow.f64 t 6) (pow.f64 z 6)) -1/262440))))
(.f64 (sqrt.f64 x) (+.f64 (fma.f64 (.f64 (pow.f64 t 4) (pow.f64 z 4)) 1/972 (.f64 (pow.f64 t 6) (.f64 (pow.f64 z 6) -1/262440))) (fma.f64 (.f64 (.f64 t t) -1/9) (*.f64 z z) 2)))
(.f64 (sqrt.f64 x) (+.f64 (fma.f64 (.f64 (pow.f64 t 4) (pow.f64 z 4)) 1/972 (.f64 (pow.f64 t 6) (.f64 (pow.f64 z 6) -1/262440))) (fma.f64 (.f64 (.f64 t z) (*.f64 t z)) -1/9 2)))
(.f64 (sqrt.f64 x) (+.f64 (fma.f64 (pow.f64 (.f64 t z) 4) 1/972 (.f64 (pow.f64 (.f64 t z) 6) -1/262440)) (fma.f64 (.f64 (.f64 t z) (*.f64 t z)) -1/9 2)))
(.f64 (sqrt.f64 x) (+.f64 (fma.f64 (pow.f64 (.f64 t z) 4) 1/972 (.f64 (pow.f64 (.f64 t z) 6) -1/262440)) (fma.f64 (pow.f64 (*.f64 t z) 2) -1/9 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (sqrt.f64 x)))
(.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (sqrt.f64 x)))
(.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (sqrt.f64 x)))
(.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (sqrt.f64 x)))
(.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (sqrt.f64 x)))
(.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (sqrt.f64 x)))
(.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (sqrt.f64 x)))
(.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (sqrt.f64 x)))
(.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (sqrt.f64 x)))
(*.f64 2 (sqrt.f64 x))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (pow.f64 z 2)) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x)))
(fma.f64 -1/9 (.f64 (.f64 t t) (.f64 (.f64 z z) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (+.f64 2 (.f64 (.f64 -1/9 (.f64 t t)) (*.f64 z z))))
(.f64 (sqrt.f64 x) (fma.f64 (.f64 (.f64 t t) -1/9) (.f64 z z) 2))
(.f64 (sqrt.f64 x) (fma.f64 (.f64 (.f64 t z) (.f64 t z)) -1/9 2))
(.f64 (sqrt.f64 x) (fma.f64 (pow.f64 (.f64 t z) 2) -1/9 2))
(+.f64 (.f64 1/972 (.f64 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (sqrt.f64 x))) (+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (pow.f64 z 2)) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x))))
(fma.f64 1/972 (.f64 (pow.f64 t 4) (.f64 (pow.f64 z 4) (sqrt.f64 x))) (fma.f64 -1/9 (.f64 (.f64 t t) (.f64 (.f64 z z) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x))))
(fma.f64 1/972 (.f64 (pow.f64 t 4) (.f64 (pow.f64 z 4) (sqrt.f64 x))) (.f64 (sqrt.f64 x) (+.f64 2 (.f64 (.f64 -1/9 (.f64 t t)) (*.f64 z z)))))
(.f64 (sqrt.f64 x) (+.f64 2 (fma.f64 (.f64 (pow.f64 t 4) (pow.f64 z 4)) 1/972 (.f64 (.f64 t t) (.f64 (.f64 -1/9 z) z)))))
(.f64 (sqrt.f64 x) (+.f64 2 (fma.f64 (pow.f64 (.f64 t z) 4) 1/972 (.f64 (.f64 t t) (.f64 (.f64 -1/9 z) z)))))
(.f64 (sqrt.f64 x) (+.f64 2 (fma.f64 (pow.f64 (.f64 t z) 4) 1/972 (.f64 (pow.f64 (.f64 t z) 2) -1/9))))
(+.f64 (.f64 1/972 (.f64 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (sqrt.f64 x))) (+.f64 (.f64 -1/262440 (.f64 (.f64 (pow.f64 t 6) (pow.f64 z 6)) (sqrt.f64 x))) (+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (pow.f64 z 2)) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x)))))
(fma.f64 1/972 (.f64 (pow.f64 t 4) (.f64 (pow.f64 z 4) (sqrt.f64 x))) (fma.f64 -1/262440 (.f64 (pow.f64 t 6) (.f64 (pow.f64 z 6) (sqrt.f64 x))) (fma.f64 -1/9 (.f64 (.f64 t t) (.f64 (.f64 z z) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))))
(+.f64 (.f64 (sqrt.f64 x) (+.f64 2 (.f64 (.f64 -1/9 (.f64 t t)) (.f64 z z)))) (.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 (pow.f64 t 4) (pow.f64 z 4)) 1/972) (.f64 (.f64 (pow.f64 t 6) (pow.f64 z 6)) -1/262440))))
(.f64 (sqrt.f64 x) (+.f64 (fma.f64 (.f64 (pow.f64 t 4) (pow.f64 z 4)) 1/972 (.f64 (pow.f64 t 6) (.f64 (pow.f64 z 6) -1/262440))) (fma.f64 (.f64 (.f64 t t) -1/9) (*.f64 z z) 2)))
(.f64 (sqrt.f64 x) (+.f64 (fma.f64 (.f64 (pow.f64 t 4) (pow.f64 z 4)) 1/972 (.f64 (pow.f64 t 6) (.f64 (pow.f64 z 6) -1/262440))) (fma.f64 (.f64 (.f64 t z) (*.f64 t z)) -1/9 2)))
(.f64 (sqrt.f64 x) (+.f64 (fma.f64 (pow.f64 (.f64 t z) 4) 1/972 (.f64 (pow.f64 (.f64 t z) 6) -1/262440)) (fma.f64 (.f64 (.f64 t z) (*.f64 t z)) -1/9 2)))
(.f64 (sqrt.f64 x) (+.f64 (fma.f64 (pow.f64 (.f64 t z) 4) 1/972 (.f64 (pow.f64 (.f64 t z) 6) -1/262440)) (fma.f64 (pow.f64 (*.f64 t z) 2) -1/9 2)))
(.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (sqrt.f64 x)))
(.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (sqrt.f64 x)))
(.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (sqrt.f64 x)))
(.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (sqrt.f64 x)))
(.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (sqrt.f64 x)))
(.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (sqrt.f64 x)))
(.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (sqrt.f64 x)))
(.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (sqrt.f64 x)))
(.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (sqrt.f64 x)))

localize18.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(.f64 z (.f64 t 1/3))
	0.1b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (exp.f64 (log.f64 (.f64 z (.f64 t 1/3)))))))
	0.0b	(-.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)))
	0.0b	(-.f64 y (exp.f64 (log.f64 (.f64 z (.f64 t 1/3)))))
✓	0.3b	(*.f64 t 1/3)
✓	2.0b	(exp.f64 (log.f64 (.f64 z (.f64 t 1/3))))
✓	10.8b	(log.f64 (.f64 z (.f64 t 1/3)))
✓	10.9b	(cos.f64 (-.f64 y (exp.f64 (log.f64 (.f64 z (.f64 t 1/3))))))

series151.0ms (0.7%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
39.0ms	z	@	0	(log.f64 (.f64 z (.f64 t 1/3)))
33.0ms	z	@	inf	(log.f64 (.f64 z (.f64 t 1/3)))
32.0ms	t	@	-inf	(log.f64 (.f64 z (.f64 t 1/3)))
13.0ms	z	@	-inf	(log.f64 (.f64 z (.f64 t 1/3)))
12.0ms	t	@	0	(log.f64 (.f64 z (.f64 t 1/3)))

rewrite107.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

839×	`prod-diff_binary64`
546×	`log-prod_binary64`
295×	`pow2_binary64`
260×	`fma-def_binary64`
203×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	32
1	223	32
2	2871	30

Stop Event

1×	node limit

Counts

4 → 173

Calls

Call 1

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

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

simplify65.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

803×	`fma-neg_binary64`
533×	`unswap-sqr_binary64`
360×	`distribute-rgt-neg-in_binary64`
339×	`associate-l_binary64`
330×	`neg-sub0_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	91	1161
1	246	1070
2	633	1049
3	2459	1041
4	5254	1041

Stop Event

1×	node limit

Counts

269 → 202

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

localize18.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(/.f64 a (*.f64 b 3))
	0.1b	(fma.f64 (*.f64 z t) -1/3 y)
	0.0b	(log1p.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (sqrt.f64 (*.f64 x 4))))
	0.0b	(-.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (sqrt.f64 (.f64 x 4))))) 1) (/.f64 a (.f64 b 3)))
✓	0.3b	(.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (sqrt.f64 (*.f64 x 4)))
✓	1.5b	(exp.f64 (log1p.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (sqrt.f64 (*.f64 x 4)))))
✓	7.6b	(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (sqrt.f64 (*.f64 x 4))))) 1)
✓	24.1b	(cos.f64 (fma.f64 (*.f64 z t) -1/3 y))

series344.0ms (1.7%)

Counts

4 → 145

Calls

45 calls:

Time	Variable		Point	Expression
116.0ms	t	@	-inf	(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (sqrt.f64 (*.f64 x 4))))) 1)
80.0ms	y	@	-inf	(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (sqrt.f64 (*.f64 x 4))))) 1)
35.0ms	z	@	inf	(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (sqrt.f64 (*.f64 x 4))))) 1)
23.0ms	y	@	inf	(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (sqrt.f64 (*.f64 x 4))))) 1)
21.0ms	z	@	-inf	(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (sqrt.f64 (*.f64 x 4))))) 1)

rewrite125.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

699×	`log-prod_binary64`
424×	`prod-diff_binary64`
384×	`pow2_binary64`
269×	`pow1/3_binary64`
269×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	68
1	342	67
2	3731	65

Stop Event

1×	node limit

Counts

4 → 181

Calls

Call 1

Inputs
(cos.f64 (fma.f64 (*.f64 z t) -1/3 y))
(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (sqrt.f64 (*.f64 x 4))))) 1)
(exp.f64 (log1p.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (sqrt.f64 (*.f64 x 4)))))
(.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (sqrt.f64 (*.f64 x 4)))

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

simplify212.0ms (1%)

Algorithm

1×	egg-herbie

Rules

733×	`distribute-rgt-in_binary64`
731×	`distribute-lft-in_binary64`
616×	`associate-/r*_binary64`
341×	`associate-r_binary64`
326×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	268	6653
1	938	6246
2	4033	5644

Stop Event

1×	node limit

Counts

326 → 214

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 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 (+.f64 1 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))) (.f64 (pow.f64 z 2) (+.f64 (.f64 1/2 (+.f64 (.f64 -4/9 (/.f64 (.f64 (pow.f64 t 2) (.f64 (pow.f64 (sin.f64 y) 2) x)) (pow.f64 (+.f64 1 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))) 2))) (.f64 -2/9 (.f64 (/.f64 (.f64 (pow.f64 t 2) (cos.f64 y)) (+.f64 1 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))))) (sqrt.f64 x))))) (.f64 2/9 (/.f64 (.f64 (pow.f64 t 2) (.f64 (pow.f64 (sin.f64 y) 2) x)) (pow.f64 (+.f64 1 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))) 2)))))) (+.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 (+.f64 1 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))) (.f64 (pow.f64 z 2) (+.f64 (.f64 1/2 (+.f64 (.f64 -4/9 (/.f64 (.f64 (pow.f64 t 2) (.f64 (pow.f64 (sin.f64 y) 2) x)) (pow.f64 (+.f64 1 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))) 2))) (.f64 -2/9 (.f64 (/.f64 (.f64 (pow.f64 t 2) (cos.f64 y)) (+.f64 1 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))))) (sqrt.f64 x))))) (.f64 2/9 (/.f64 (.f64 (pow.f64 t 2) (.f64 (pow.f64 (sin.f64 y) 2) x)) (pow.f64 (+.f64 1 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))) 2)))))) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (/.f64 (.f64 (+.f64 (.f64 -4/9 (/.f64 (.f64 (pow.f64 t 2) (.f64 (pow.f64 (sin.f64 y) 2) x)) (pow.f64 (+.f64 1 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))) 2))) (.f64 -2/9 (.f64 (/.f64 (.f64 (pow.f64 t 2) (cos.f64 y)) (+.f64 1 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))))) (sqrt.f64 x)))) (.f64 t (sin.f64 y))) (+.f64 1 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))))) (sqrt.f64 x))) (+.f64 (.f64 4/81 (.f64 (/.f64 (.f64 (pow.f64 t 3) (pow.f64 (sin.f64 y) 3)) (pow.f64 (+.f64 1 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))) 3)) (sqrt.f64 (pow.f64 x 3)))) (.f64 1/6 (+.f64 (.f64 -2/27 (.f64 (/.f64 (.f64 (pow.f64 t 3) (sin.f64 y)) (+.f64 1 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))))) (sqrt.f64 x))) (+.f64 (.f64 4/9 (/.f64 (.f64 (pow.f64 t 3) (.f64 (cos.f64 y) (.f64 (sin.f64 y) x))) (pow.f64 (+.f64 1 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))) 2))) (.f64 16/27 (.f64 (/.f64 (.f64 (pow.f64 t 3) (pow.f64 (sin.f64 y) 3)) (pow.f64 (+.f64 1 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))) 3)) (sqrt.f64 (pow.f64 x 3))))))))) (.f64 (+.f64 1 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))) (pow.f64 z 3))) (+.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 2 (.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
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(+.f64 1 (+.f64 (.f64 (+.f64 1 (.f64 2 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (sqrt.f64 x)))) (.f64 (pow.f64 y 3) (+.f64 (.f64 -1 (.f64 (/.f64 (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) (+.f64 (.f64 -2 (.f64 (/.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (+.f64 1 (.f64 2 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (sqrt.f64 x))))) (sqrt.f64 x))) (.f64 -4 (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) 2) x) (pow.f64 (+.f64 1 (.f64 2 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (sqrt.f64 x)))) 2))))) (+.f64 1 (.f64 2 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (sqrt.f64 x))))) (sqrt.f64 x))) (+.f64 (.f64 1/6 (+.f64 (.f64 2 (.f64 (/.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) (+.f64 1 (.f64 2 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (sqrt.f64 x))))) (sqrt.f64 x))) (+.f64 (.f64 -16 (.f64 (/.f64 (pow.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) 3) (pow.f64 (+.f64 1 (.f64 2 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (sqrt.f64 x)))) 3)) (sqrt.f64 (pow.f64 x 3)))) (.f64 -12 (/.f64 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) x)) (pow.f64 (+.f64 1 (.f64 2 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (sqrt.f64 x)))) 2)))))) (.f64 -4/3 (.f64 (/.f64 (pow.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) 3) (pow.f64 (+.f64 1 (.f64 2 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (sqrt.f64 x)))) 3)) (sqrt.f64 (pow.f64 x 3)))))))) (+.f64 (.f64 (+.f64 1 (.f64 2 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (sqrt.f64 x)))) (.f64 (pow.f64 y 2) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) 2) x) (pow.f64 (+.f64 1 (.f64 2 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (sqrt.f64 x)))) 2))) (.f64 1/2 (+.f64 (.f64 -2 (.f64 (/.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (+.f64 1 (.f64 2 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (sqrt.f64 x))))) (sqrt.f64 x))) (.f64 -4 (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) 2) x) (pow.f64 (+.f64 1 (.f64 2 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (sqrt.f64 x)))) 2)))))))) (+.f64 (.f64 2 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (sqrt.f64 x))) (.f64 -2 (.f64 (.f64 y (sin.f64 (.f64 -1/3 (*.f64 t z)))) (sqrt.f64 x)))))))
(+.f64 1 (.f64 2 (.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) (sqrt.f64 x))))
(+.f64 1 (.f64 2 (.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) (sqrt.f64 x))))
(+.f64 1 (.f64 2 (.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) (sqrt.f64 x))))
(+.f64 1 (.f64 2 (.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) (sqrt.f64 x))))
(+.f64 1 (.f64 2 (.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) (sqrt.f64 x))))
(+.f64 1 (.f64 2 (.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) (sqrt.f64 x))))
(+.f64 1 (.f64 2 (.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) (sqrt.f64 x))))
(+.f64 1 (.f64 2 (.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) (sqrt.f64 x))))
1
(.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 (fma.f64 (*.f64 t z) -1/3 y)) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 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 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 (fma.f64 (*.f64 t z) -1/3 y)) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (sqrt.f64 x)))
(+.f64 (.f64 2 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (sqrt.f64 x))) (.f64 -2 (.f64 (.f64 y (sin.f64 (.f64 -1/3 (*.f64 t z)))) (sqrt.f64 x))))
(+.f64 (.f64 -1 (.f64 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (pow.f64 y 2)) (sqrt.f64 x))) (+.f64 (.f64 2 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (sqrt.f64 x))) (.f64 -2 (.f64 (.f64 y (sin.f64 (.f64 -1/3 (.f64 t z)))) (sqrt.f64 x)))))
(+.f64 (.f64 1/3 (.f64 (.f64 (pow.f64 y 3) (sin.f64 (.f64 -1/3 (.f64 t z)))) (sqrt.f64 x))) (+.f64 (.f64 -1 (.f64 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (pow.f64 y 2)) (sqrt.f64 x))) (+.f64 (.f64 2 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (sqrt.f64 x))) (.f64 -2 (.f64 (.f64 y (sin.f64 (.f64 -1/3 (*.f64 t z)))) (sqrt.f64 x))))))
(.f64 2 (.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) (sqrt.f64 x)))

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

localize16.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(*.f64 a (/.f64 -1/3 b))
	0.1b	(sqrt.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (sqrt.f64 x)))
	0.1b	(fma.f64 z (*.f64 t -1/3) y)
	0.0b	(fma.f64 2 (pow.f64 (sqrt.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (sqrt.f64 x))) 2) (*.f64 a (/.f64 -1/3 b)))
	0.3b	(*.f64 t -1/3)
	0.3b	(/.f64 -1/3 b)
✓	0.4b	(pow.f64 (sqrt.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (sqrt.f64 x))) 2)
	24.0b	(cos.f64 (fma.f64 z (*.f64 t -1/3) y))

series80.0ms (0.4%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
17.0ms	z	@	inf	(pow.f64 (sqrt.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (sqrt.f64 x))) 2)
16.0ms	x	@	0	(pow.f64 (sqrt.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (sqrt.f64 x))) 2)
13.0ms	x	@	inf	(pow.f64 (sqrt.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (sqrt.f64 x))) 2)
10.0ms	t	@	inf	(pow.f64 (sqrt.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (sqrt.f64 x))) 2)
9.0ms	y	@	inf	(pow.f64 (sqrt.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (sqrt.f64 x))) 2)

rewrite53.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

568×	`log-prod_binary64`
431×	`exp-prod_binary64`
360×	`pow-prod-down_binary64`
314×	`pow2_binary64`
220×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	15
1	282	15
2	2921	15

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (cos.f64 (fma.f64 z (*.f64 t -1/3) y)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (cos.f64 (fma.f64 z (*.f64 t -1/3) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (cos.f64 (fma.f64 z (*.f64 t -1/3) y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (cos.f64 (fma.f64 z (*.f64 t -1/3) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (*.f64 t -1/3) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x))) (sqrt.f64 (*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x))) (cbrt.f64 (*.f64 x (pow.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (pow.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) 2))) (cbrt.f64 (*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y))) 2) (*.f64 (cbrt.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (pow.f64 x 1/6) (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))) (pow.f64 (*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y))) (*.f64 (pow.f64 x 1/4) (sqrt.f64 (*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x)) 1/4) (pow.f64 (*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) (cos.f64 (fma.f64 z (*.f64 t -1/3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x)) 3/4) (pow.f64 (*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (cbrt.f64 x)) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (pow.f64 x 1/4)) (pow.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) (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 (pow.f64 (*.f64 x (cos.f64 (fma.f64 z (*.f64 t -1/3) y))) 1/2) (sqrt.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x)) 5/6) (pow.f64 (*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x)) (cos.f64 (fma.f64 z (*.f64 t -1/3) y))) 1/2) (pow.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (pow.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (cos.f64 (fma.f64 z (*.f64 t -1/3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x))) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x)))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x))))))))

simplify67.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

724×	`fma-def_binary64`
431×	`*-commutative_binary64`
359×	`cancel-sign-sub-inv_binary64`
300×	`fma-neg_binary64`
293×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	152	1829
1	450	1691
2	1521	1629
3	5651	1271

Stop Event

1×	node limit

Counts

86 → 62

Calls

Call 1

Inputs
(*.f64 (cos.f64 y) (sqrt.f64 x))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))))
(+.f64 (.f64 (+.f64 (.f64 (-.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (cos.f64 y))) (pow.f64 (.f64 1/6 (.f64 (.f64 t (sin.f64 y)) (sqrt.f64 (/.f64 1 (cos.f64 y))))) 2)) (sqrt.f64 x)) (.f64 1/36 (.f64 (/.f64 (.f64 (pow.f64 t 2) (pow.f64 (sin.f64 y) 2)) (cos.f64 y)) (sqrt.f64 x)))) (pow.f64 z 2)) (+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x)))))
(+.f64 (.f64 (+.f64 (.f64 (-.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (cos.f64 y))) (pow.f64 (.f64 1/6 (.f64 (.f64 t (sin.f64 y)) (sqrt.f64 (/.f64 1 (cos.f64 y))))) 2)) (sqrt.f64 x)) (.f64 1/36 (.f64 (/.f64 (.f64 (pow.f64 t 2) (pow.f64 (sin.f64 y) 2)) (cos.f64 y)) (sqrt.f64 x)))) (pow.f64 z 2)) (+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (+.f64 (.f64 1/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (.f64 (+.f64 (.f64 1/6 (.f64 (/.f64 (.f64 t (.f64 (sin.f64 y) (-.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (cos.f64 y))) (pow.f64 (.f64 1/6 (.f64 (.f64 t (sin.f64 y)) (sqrt.f64 (/.f64 1 (cos.f64 y))))) 2)))) (cos.f64 y)) (sqrt.f64 x))) (.f64 -1 (.f64 (+.f64 (.f64 1/162 (.f64 (pow.f64 t 3) (sin.f64 y))) (.f64 1/6 (/.f64 (.f64 t (.f64 (sin.f64 y) (-.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (cos.f64 y))) (pow.f64 (.f64 1/6 (.f64 (*.f64 t (sin.f64 y)) (sqrt.f64 (/.f64 1 (cos.f64 y))))) 2)))) (cos.f64 y)))) (sqrt.f64 x)))) (pow.f64 z 3)))))
(.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) (sqrt.f64 x))
(.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) (sqrt.f64 x))
(.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) (sqrt.f64 x))
(.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) (sqrt.f64 x))
(.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) (sqrt.f64 x))
(.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) (sqrt.f64 x))
(.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) (sqrt.f64 x))
(.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) (sqrt.f64 x))
(*.f64 (cos.f64 y) (sqrt.f64 x))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (+.f64 (.f64 1/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (.f64 (pow.f64 t 2) (+.f64 (.f64 (-.f64 (.f64 -1/18 (.f64 (pow.f64 z 2) (cos.f64 y))) (pow.f64 (.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 y))) (.f64 z (sin.f64 y)))) 2)) (sqrt.f64 x)) (.f64 1/36 (.f64 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (cos.f64 y)) (sqrt.f64 x)))))))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (+.f64 (.f64 (+.f64 (.f64 1/6 (.f64 (/.f64 (.f64 (-.f64 (.f64 -1/18 (.f64 (pow.f64 z 2) (cos.f64 y))) (pow.f64 (.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 y))) (.f64 z (sin.f64 y)))) 2)) (.f64 z (sin.f64 y))) (cos.f64 y)) (sqrt.f64 x))) (.f64 -1 (.f64 (+.f64 (.f64 1/6 (/.f64 (.f64 (-.f64 (.f64 -1/18 (.f64 (pow.f64 z 2) (cos.f64 y))) (pow.f64 (.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 y))) (.f64 z (sin.f64 y)))) 2)) (.f64 z (sin.f64 y))) (cos.f64 y))) (.f64 1/162 (.f64 (pow.f64 z 3) (sin.f64 y)))) (sqrt.f64 x)))) (pow.f64 t 3)) (+.f64 (.f64 1/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (.f64 (pow.f64 t 2) (+.f64 (.f64 (-.f64 (.f64 -1/18 (.f64 (pow.f64 z 2) (cos.f64 y))) (pow.f64 (.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 y))) (.f64 z (sin.f64 y)))) 2)) (sqrt.f64 x)) (.f64 1/36 (.f64 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (cos.f64 y)) (sqrt.f64 x))))))))
(.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) (sqrt.f64 x))
(.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) (sqrt.f64 x))
(.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) (sqrt.f64 x))
(.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) (sqrt.f64 x))
(.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) (sqrt.f64 x))
(.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) (sqrt.f64 x))
(.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) (sqrt.f64 x))
(.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) (sqrt.f64 x))
(.f64 (cos.f64 (.f64 -1/3 (*.f64 t z))) (sqrt.f64 x))
(+.f64 (.f64 -1 (.f64 (.f64 y (sin.f64 (.f64 -1/3 (.f64 t z)))) (sqrt.f64 x))) (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (sqrt.f64 x)))
(+.f64 (.f64 -1 (.f64 (.f64 y (sin.f64 (.f64 -1/3 (.f64 t z)))) (sqrt.f64 x))) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 1/4 (.f64 (/.f64 (pow.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) 2) (cos.f64 (.f64 -1/3 (.f64 t z)))) (sqrt.f64 x))) (.f64 (-.f64 (.f64 -1/2 (cos.f64 (.f64 -1/3 (.f64 t z)))) (pow.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 (.f64 -1/3 (.f64 t z))))) (sin.f64 (.f64 -1/3 (.f64 t z))))) 2)) (sqrt.f64 x)))) (.f64 (cos.f64 (.f64 -1/3 (*.f64 t z))) (sqrt.f64 x))))
(+.f64 (.f64 -1 (.f64 (.f64 y (sin.f64 (.f64 -1/3 (.f64 t z)))) (sqrt.f64 x))) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 1/4 (.f64 (/.f64 (pow.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) 2) (cos.f64 (.f64 -1/3 (.f64 t z)))) (sqrt.f64 x))) (.f64 (-.f64 (.f64 -1/2 (cos.f64 (.f64 -1/3 (.f64 t z)))) (pow.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 (.f64 -1/3 (.f64 t z))))) (sin.f64 (.f64 -1/3 (.f64 t z))))) 2)) (sqrt.f64 x)))) (+.f64 (.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/6 (sin.f64 (.f64 -1/3 (.f64 t z)))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/2 (cos.f64 (.f64 -1/3 (.f64 t z)))) (pow.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 (.f64 -1/3 (.f64 t z))))) (sin.f64 (.f64 -1/3 (.f64 t z))))) 2)) (sin.f64 (.f64 -1/3 (.f64 t z)))) (cos.f64 (.f64 -1/3 (.f64 t z)))))) (sqrt.f64 x))) (+.f64 (.f64 -1/4 (.f64 (/.f64 (.f64 (-.f64 (.f64 -1/2 (cos.f64 (.f64 -1/3 (.f64 t z)))) (pow.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 (.f64 -1/3 (.f64 t z))))) (sin.f64 (.f64 -1/3 (.f64 t z))))) 2)) (sin.f64 (.f64 -1/3 (.f64 t z)))) (cos.f64 (.f64 -1/3 (.f64 t z)))) (sqrt.f64 x))) (.f64 -1/4 (.f64 (/.f64 (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) (-.f64 (.f64 -1/2 (cos.f64 (.f64 -1/3 (.f64 t z)))) (pow.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 (.f64 -1/3 (.f64 t z))))) (sin.f64 (.f64 -1/3 (.f64 t z))))) 2))) (cos.f64 (.f64 -1/3 (.f64 t z)))) (sqrt.f64 x))))) (pow.f64 y 3)) (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (sqrt.f64 x)))))
(.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) (sqrt.f64 x))
(.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) (sqrt.f64 x))
(.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) (sqrt.f64 x))
(.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) (sqrt.f64 x))
(.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) (sqrt.f64 x))
(.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) (sqrt.f64 x))
(.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) (sqrt.f64 x))
(.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) (sqrt.f64 x))
(.f64 (cos.f64 (+.f64 (.f64 -1/3 (*.f64 t z)) y)) (sqrt.f64 x))
(.f64 (cos.f64 (+.f64 (.f64 -1/3 (*.f64 t z)) y)) (sqrt.f64 x))
(.f64 (cos.f64 (+.f64 (.f64 -1/3 (*.f64 t z)) y)) (sqrt.f64 x))
(.f64 (cos.f64 (+.f64 (.f64 -1/3 (*.f64 t z)) y)) (sqrt.f64 x))
(.f64 (cos.f64 (+.f64 (.f64 -1/3 (*.f64 t z)) y)) (sqrt.f64 x))
(.f64 (cos.f64 (+.f64 (.f64 -1/3 (*.f64 t z)) y)) (sqrt.f64 x))
(.f64 (cos.f64 (+.f64 (.f64 -1/3 (*.f64 t z)) y)) (sqrt.f64 x))
(.f64 (cos.f64 (+.f64 (.f64 -1/3 (*.f64 t z)) y)) (sqrt.f64 x))
(.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (cos.f64 (+.f64 (.f64 -1/3 (.f64 t z)) y))) (sqrt.f64 x))
(.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (cos.f64 (+.f64 (.f64 -1/3 (.f64 t z)) y))) (sqrt.f64 x))
(.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (cos.f64 (+.f64 (.f64 -1/3 (.f64 t z)) y))) (sqrt.f64 x))
(.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (cos.f64 (+.f64 (.f64 -1/3 (.f64 t z)) y))) (sqrt.f64 x))

Outputs
(*.f64 (cos.f64 y) (sqrt.f64 x))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))))
(fma.f64 (cos.f64 y) (sqrt.f64 x) (.f64 1/3 (.f64 (sqrt.f64 x) (.f64 t (.f64 z (sin.f64 y))))))
(.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 (.f64 1/3 t) (.f64 z (sin.f64 y)))))
(.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 (sin.f64 y) (*.f64 t z)) (cos.f64 y)))
(+.f64 (.f64 (+.f64 (.f64 (-.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (cos.f64 y))) (pow.f64 (.f64 1/6 (.f64 (.f64 t (sin.f64 y)) (sqrt.f64 (/.f64 1 (cos.f64 y))))) 2)) (sqrt.f64 x)) (.f64 1/36 (.f64 (/.f64 (.f64 (pow.f64 t 2) (pow.f64 (sin.f64 y) 2)) (cos.f64 y)) (sqrt.f64 x)))) (pow.f64 z 2)) (+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x)))))
(fma.f64 (fma.f64 (-.f64 (.f64 -1/18 (.f64 (cos.f64 y) (.f64 t t))) (pow.f64 (.f64 1/6 (.f64 t (.f64 (sin.f64 y) (sqrt.f64 (/.f64 1 (cos.f64 y)))))) 2)) (sqrt.f64 x) (.f64 1/36 (.f64 (sqrt.f64 x) (/.f64 (.f64 t t) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) 2)))))) (.f64 z z) (fma.f64 (cos.f64 y) (sqrt.f64 x) (.f64 1/3 (.f64 (sqrt.f64 x) (.f64 t (.f64 z (sin.f64 y)))))))
(fma.f64 (.f64 (sqrt.f64 x) (+.f64 (-.f64 (.f64 (cos.f64 y) (.f64 -1/18 (.f64 t t))) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 y))) (.f64 (.f64 1/6 (sin.f64 y)) t)) 2)) (.f64 1/36 (.f64 (/.f64 (.f64 t t) (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (.f64 z z) (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 (.f64 1/3 t) (*.f64 z (sin.f64 y))))))
(fma.f64 (.f64 (sqrt.f64 x) (fma.f64 1/36 (.f64 (pow.f64 (sin.f64 y) 2) (/.f64 t (/.f64 (cos.f64 y) t))) (fma.f64 (cos.f64 y) (.f64 t (.f64 t -1/18)) (.f64 (.f64 (/.f64 1 (cos.f64 y)) (.f64 (.f64 t t) (pow.f64 (sin.f64 y) 2))) -1/36)))) (.f64 z z) (.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 (sin.f64 y) (.f64 t z)) (cos.f64 y))))
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(fma.f64 (fma.f64 (-.f64 (.f64 -1/18 (.f64 (cos.f64 y) (.f64 t t))) (pow.f64 (.f64 1/6 (.f64 t (.f64 (sin.f64 y) (sqrt.f64 (/.f64 1 (cos.f64 y)))))) 2)) (sqrt.f64 x) (.f64 1/36 (.f64 (sqrt.f64 x) (/.f64 (.f64 t t) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) 2)))))) (.f64 z z) (fma.f64 (cos.f64 y) (sqrt.f64 x) (fma.f64 1/3 (.f64 (sqrt.f64 x) (.f64 t (.f64 z (sin.f64 y)))) (.f64 (fma.f64 1/6 (.f64 (sqrt.f64 x) (/.f64 (.f64 t (.f64 (sin.f64 y) (-.f64 (.f64 -1/18 (.f64 (cos.f64 y) (.f64 t t))) (pow.f64 (.f64 1/6 (.f64 t (.f64 (sin.f64 y) (sqrt.f64 (/.f64 1 (cos.f64 y)))))) 2)))) (cos.f64 y))) (neg.f64 (.f64 (sqrt.f64 x) (fma.f64 1/162 (.f64 (sin.f64 y) (pow.f64 t 3)) (.f64 1/6 (/.f64 (.f64 t (.f64 (sin.f64 y) (-.f64 (.f64 -1/18 (.f64 (cos.f64 y) (.f64 t t))) (pow.f64 (.f64 1/6 (.f64 t (.f64 (sin.f64 y) (sqrt.f64 (/.f64 1 (cos.f64 y)))))) 2)))) (cos.f64 y))))))) (pow.f64 z 3)))))
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(fma.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 (sin.f64 y) (.f64 t z)) (cos.f64 y)) (.f64 (.f64 z z) (+.f64 (.f64 z (.f64 (sqrt.f64 x) (-.f64 (.f64 (/.f64 (.f64 t 1/6) (/.f64 (cos.f64 y) (sin.f64 y))) (fma.f64 (cos.f64 y) (.f64 t (.f64 t -1/18)) (.f64 (.f64 (/.f64 1 (cos.f64 y)) (.f64 (.f64 t t) (pow.f64 (sin.f64 y) 2))) -1/36))) (fma.f64 (sin.f64 y) (.f64 1/162 (pow.f64 t 3)) (.f64 (/.f64 (.f64 t 1/6) (/.f64 (cos.f64 y) (sin.f64 y))) (fma.f64 (cos.f64 y) (.f64 t (.f64 t -1/18)) (.f64 (.f64 (/.f64 1 (cos.f64 y)) (.f64 (.f64 t t) (pow.f64 (sin.f64 y) 2))) -1/36))))))) (.f64 (sqrt.f64 x) (fma.f64 1/36 (.f64 (pow.f64 (sin.f64 y) 2) (/.f64 t (/.f64 (cos.f64 y) t))) (fma.f64 (cos.f64 y) (.f64 t (.f64 t -1/18)) (.f64 (.f64 (/.f64 1 (cos.f64 y)) (.f64 (*.f64 t t) (pow.f64 (sin.f64 y) 2))) -1/36)))))))
(fma.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 (sin.f64 y) (.f64 t z)) (cos.f64 y)) (.f64 (.f64 z z) (+.f64 (.f64 z (.f64 (sqrt.f64 x) (.f64 (.f64 (sin.f64 y) (pow.f64 t 3)) -1/162))) (.f64 (sqrt.f64 x) (fma.f64 1/36 (.f64 (pow.f64 (sin.f64 y) 2) (/.f64 t (/.f64 (cos.f64 y) t))) (fma.f64 (cos.f64 y) (.f64 t (.f64 t -1/18)) (.f64 (/.f64 1 (cos.f64 y)) (.f64 (.f64 (.f64 t t) (pow.f64 (sin.f64 y) 2)) -1/36))))))))
(.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y)))
(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 t (.f64 z -1/3) y)))
(.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y)))
(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 t (.f64 z -1/3) y)))
(.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y)))
(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 t (.f64 z -1/3) y)))
(.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y)))
(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 t (.f64 z -1/3) y)))
(.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y)))
(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 t (.f64 z -1/3) y)))
(.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y)))
(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 t (.f64 z -1/3) y)))
(.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y)))
(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 t (.f64 z -1/3) y)))
(.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y)))
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(+.f64 (.f64 (.f64 y y) (+.f64 (.f64 (sqrt.f64 x) (fma.f64 1/4 (/.f64 (pow.f64 (sin.f64 (.f64 t (.f64 z -1/3))) 2) (cos.f64 (.f64 t (.f64 z -1/3)))) (-.f64 (.f64 (cos.f64 (.f64 t (.f64 z -1/3))) -1/2) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 (.f64 t (.f64 z -1/3))))) (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) -1/2)) 2)))) (.f64 y (.f64 (sqrt.f64 x) (-.f64 (.f64 (/.f64 -1/2 (cos.f64 (.f64 t (.f64 z -1/3)))) (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (-.f64 (.f64 (cos.f64 (.f64 t (.f64 z -1/3))) -1/2) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 (.f64 t (.f64 z -1/3))))) (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) -1/2)) 2)))) (fma.f64 (sin.f64 (.f64 t (.f64 z -1/3))) -1/6 (.f64 (/.f64 -1/2 (cos.f64 (.f64 t (.f64 z -1/3)))) (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (-.f64 (.f64 (cos.f64 (.f64 t (.f64 z -1/3))) -1/2) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 (.f64 t (.f64 z -1/3))))) (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) -1/2)) 2)))))))))) (.f64 (sqrt.f64 x) (-.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (.f64 y (sin.f64 (.f64 t (.f64 z -1/3)))))))
(+.f64 (.f64 (.f64 y y) (+.f64 (.f64 (sqrt.f64 x) (fma.f64 1/4 (/.f64 (pow.f64 (sin.f64 (.f64 t (.f64 z -1/3))) 2) (cos.f64 (.f64 t (.f64 z -1/3)))) (fma.f64 (cos.f64 (.f64 t (.f64 z -1/3))) -1/2 (.f64 (pow.f64 (sin.f64 (.f64 t (.f64 z -1/3))) 2) (.f64 -1/4 (/.f64 1 (cos.f64 (.f64 t (.f64 z -1/3))))))))) (.f64 y (.f64 (sqrt.f64 x) (.f64 1/6 (sin.f64 (.f64 t (.f64 z -1/3)))))))) (.f64 (sqrt.f64 x) (-.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (.f64 y (sin.f64 (.f64 t (.f64 z -1/3)))))))
(.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y)))
(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 t (.f64 z -1/3) y)))
(.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y)))
(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 t (.f64 z -1/3) y)))
(.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y)))
(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 t (.f64 z -1/3) y)))
(.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y)))
(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 t (.f64 z -1/3) y)))
(.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y)))
(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 t (.f64 z -1/3) y)))
(.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y)))
(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 t (.f64 z -1/3) y)))
(.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y)))
(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 t (.f64 z -1/3) y)))
(.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y)))
(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 t (.f64 z -1/3) y)))
(.f64 (cos.f64 (+.f64 (.f64 -1/3 (*.f64 t z)) y)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y)))
(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 t (.f64 z -1/3) y)))
(.f64 (cos.f64 (+.f64 (.f64 -1/3 (*.f64 t z)) y)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y)))
(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 t (.f64 z -1/3) y)))
(.f64 (cos.f64 (+.f64 (.f64 -1/3 (*.f64 t z)) y)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y)))
(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 t (.f64 z -1/3) y)))
(.f64 (cos.f64 (+.f64 (.f64 -1/3 (*.f64 t z)) y)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y)))
(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 t (.f64 z -1/3) y)))
(.f64 (cos.f64 (+.f64 (.f64 -1/3 (*.f64 t z)) y)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y)))
(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 t (.f64 z -1/3) y)))
(.f64 (cos.f64 (+.f64 (.f64 -1/3 (*.f64 t z)) y)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y)))
(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 t (.f64 z -1/3) y)))
(.f64 (cos.f64 (+.f64 (.f64 -1/3 (*.f64 t z)) y)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y)))
(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 t (.f64 z -1/3) y)))
(.f64 (cos.f64 (+.f64 (.f64 -1/3 (*.f64 t z)) y)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y)))
(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 t (.f64 z -1/3) y)))
(.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (cos.f64 (+.f64 (.f64 -1/3 (.f64 t z)) y))) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (.f64 (cos.f64 (fma.f64 -1/3 (*.f64 t z) y)) (pow.f64 (sqrt.f64 -1) 2)))
(.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (*.f64 -1 (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (neg.f64 (cos.f64 (fma.f64 t (.f64 z -1/3) y))))
(.f64 (cos.f64 (fma.f64 t (.f64 z -1/3) y)) (neg.f64 (sqrt.f64 x)))
(.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (cos.f64 (+.f64 (.f64 -1/3 (.f64 t z)) y))) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (.f64 (cos.f64 (fma.f64 -1/3 (*.f64 t z) y)) (pow.f64 (sqrt.f64 -1) 2)))
(.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (*.f64 -1 (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (neg.f64 (cos.f64 (fma.f64 t (.f64 z -1/3) y))))
(.f64 (cos.f64 (fma.f64 t (.f64 z -1/3) y)) (neg.f64 (sqrt.f64 x)))
(.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (cos.f64 (+.f64 (.f64 -1/3 (.f64 t z)) y))) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (.f64 (cos.f64 (fma.f64 -1/3 (*.f64 t z) y)) (pow.f64 (sqrt.f64 -1) 2)))
(.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (*.f64 -1 (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (neg.f64 (cos.f64 (fma.f64 t (.f64 z -1/3) y))))
(.f64 (cos.f64 (fma.f64 t (.f64 z -1/3) y)) (neg.f64 (sqrt.f64 x)))
(.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (cos.f64 (+.f64 (.f64 -1/3 (.f64 t z)) y))) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (.f64 (cos.f64 (fma.f64 -1/3 (*.f64 t z) y)) (pow.f64 (sqrt.f64 -1) 2)))
(.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (*.f64 -1 (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (neg.f64 (cos.f64 (fma.f64 t (.f64 z -1/3) y))))
(.f64 (cos.f64 (fma.f64 t (.f64 z -1/3) y)) (neg.f64 (sqrt.f64 x)))

eval792.0ms (3.8%)

Compiler: Compiled 29393 to 18693 computations (36.4% saved)

prune420.0ms (2%)

Pruning

100 alts after pruning (98 fresh and 2 done)

	Pruned	Kept	Total
New	840	82	922
Fresh	35	16	51
Picked	1	0	1
Done	2	2	4
Total	878	100	978

Error

13.2b

Counts

978 → 100

Alt Table

Click to see full alt table

Status	Error	Program
	58.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (.f64 z 1/3) t)))) (sqrt.f64 (log.f64 (.f64 (.f64 z 1/3) t))))))) (/.f64 a (*.f64 b 3)))
	34.4b	(-.f64 (pow.f64 (pow.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) 3) 1/3) (/.f64 a (*.f64 b 3)))
	21.0b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (sqrt.f64 (.f64 x 4)))) 3) (/.f64 a (.f64 b 3)))
	26.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (.f64 z (cbrt.f64 (.f64 1/9 (.f64 t t)))) (cbrt.f64 (.f64 t 1/3)))))) (/.f64 a (.f64 b 3)))
	20.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z 1/3) t))) 2) (pow.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z 1/3) t))) 2)) (cos.f64 (fma.f64 z (.f64 t 1/3) y)))) (/.f64 a (.f64 b 3)))
	21.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))))))) (/.f64 a (*.f64 b 3)))
	17.1b	(fma.f64 (pow.f64 x 1/4) (.f64 (pow.f64 x 1/4) (.f64 2 (cos.f64 y))) (*.f64 a (neg.f64 (/.f64 1/3 b))))
	20.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 z (/.f64 1 (/.f64 3 t)))))) (/.f64 a (.f64 b 3)))
	36.2b	(fma.f64 2 (.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (sqrt.f64 x)) 5/6) (pow.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (sqrt.f64 x)) 1/6)) (.f64 a (/.f64 -1/3 b)))
	58.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (.f64 z 1/3) t))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (.f64 (.f64 z 1/3) t))))) (sqrt.f64 (cbrt.f64 (log.f64 (.f64 (.f64 z 1/3) t)))))))) (/.f64 a (*.f64 b 3)))
	20.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 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)))))) (/.f64 a (.f64 b 3)))
	40.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (exp.f64 1) (log.f64 (.f64 (.f64 z 1/3) t)))))) (/.f64 a (*.f64 b 3)))
	28.2b	(-.f64 (.f64 (log1p.f64 (expm1.f64 (cos.f64 (.f64 z (.f64 t 1/3))))) (.f64 2 (sqrt.f64 x))) (/.f64 a (*.f64 b 3)))
	30.4b	(-.f64 (pow.f64 (sqrt.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))) 2) (/.f64 a (*.f64 b 3)))
	37.3b	(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 a (*.f64 b 3)))
	17.3b	(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (pow.f64 (/.f64 3 (/.f64 a b)) -1))
	20.6b	(-.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)))
✓	17.0b	(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (/.f64 a (*.f64 b 3)))
	37.3b	(-.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x))) (/.f64 a (.f64 b 3)))
	20.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 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)))))) (/.f64 a (.f64 b 3)))
	20.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)))) 1)) (/.f64 a (.f64 b 3)))
	50.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (exp.f64 (+.f64 (log.f64 z) (log.f64 (.f64 t 1/3))))))) (/.f64 a (.f64 b 3)))
	17.4b	(fma.f64 (.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (.f64 2 (cos.f64 y))) 2)) (cbrt.f64 (.f64 2 (cos.f64 y))) (.f64 a (neg.f64 (/.f64 1/3 b))))
	37.9b	(cbrt.f64 (pow.f64 (-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 a (/.f64 1/3 b))) 3))
	35.1b	(-.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 z (.f64 t 1/3))) (.f64 2 (sqrt.f64 x))))) 3)) (/.f64 a (.f64 b 3)))
	38.0b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (expm1.f64 (log1p.f64 (.f64 t -1/3))) y))) (*.f64 a (/.f64 -1/3 b)))
	24.7b	(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
	38.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 z t) -1/3 y)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 z t) -1/3 y)))) (sin.f64 1)))) (/.f64 a (*.f64 b 3)))
	20.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 z 3) t)))) (/.f64 a (.f64 b 3)))
	17.7b	(pow.f64 (cbrt.f64 (-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 a (/.f64 1/3 b)))) 3)
	24.7b	(fma.f64 2 (sqrt.f64 x) (*.f64 a (/.f64 -1/3 b)))
	34.9b	(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (sqrt.f64 (pow.f64 (*.f64 a (/.f64 1/3 b)) 2)))
▶	40.0b	(fma.f64 2 (pow.f64 (sqrt.f64 (.f64 (cos.f64 (fma.f64 z (cbrt.f64 (pow.f64 (.f64 t -1/3) 3)) y)) (sqrt.f64 x))) 2) (*.f64 a (/.f64 -1/3 b)))
	25.0b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (cos.f64 y) 2) (.f64 (.f64 z (.f64 t (sin.f64 y))) 2/3))) (/.f64 a (.f64 b 3)))
	20.4b	(-.f64 (+.f64 (.f64 (sqrt.f64 (.f64 x 4)) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3))))) (.f64 (sqrt.f64 (.f64 x 4)) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))))) (/.f64 a (*.f64 b 3)))
	35.0b	(-.f64 (.f64 (cos.f64 (.f64 t (sqrt.f64 (.f64 1/9 (.f64 z z))))) (.f64 2 (sqrt.f64 x))) (/.f64 a (.f64 b 3)))
	38.6b	(-.f64 (.f64 (sqrt.f64 x) (fma.f64 (pow.f64 (.f64 t z) 2) -1/9 2)) (/.f64 a (*.f64 b 3)))
	20.9b	(-.f64 (.f64 (pow.f64 (.f64 x 4) 1/4) (.f64 (pow.f64 (.f64 x 4) 1/4) (cos.f64 (fma.f64 z (.f64 t -1/3) y)))) (/.f64 a (.f64 b 3)))
	28.1b	(-.f64 (.f64 2 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (sqrt.f64 x))) (/.f64 a (*.f64 b 3)))
	25.0b	(-.f64 (+.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 a (*.f64 b 3)))
	35.0b	(-.f64 (exp.f64 (log.f64 (.f64 (cos.f64 (.f64 z (.f64 t 1/3))) (.f64 2 (sqrt.f64 x))))) (/.f64 a (*.f64 b 3)))
	20.4b	(-.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)))
	25.0b	(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
	58.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (exp.f64 (exp.f64 (log.f64 (log.f64 (.f64 (.f64 z 1/3) t)))))))) (/.f64 a (*.f64 b 3)))
▶	17.0b	(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (*.f64 (/.f64 1 b) (/.f64 a 3)))
	31.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.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 a (*.f64 b 3)))
	33.3b	(-.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (-.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))))) (sqrt.f64 (.f64 x 4))))) 1) (/.f64 a (*.f64 b 3)))
✓	40.2b	(-.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)))
	37.1b	(fma.f64 2 (.f64 (cos.f64 (fma.f64 t (.f64 z -1/3) y)) (neg.f64 (sqrt.f64 x))) (*.f64 a (/.f64 -1/3 b)))
	28.2b	(-.f64 (.f64 (cos.f64 (.f64 t (pow.f64 (cbrt.f64 (.f64 1/3 z)) 3))) (.f64 2 (sqrt.f64 x))) (/.f64 a (*.f64 b 3)))
	20.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 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))))))) (/.f64 a (*.f64 b 3)))
	34.7b	(*.f64 a (/.f64 -1/3 b))
	58.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (exp.f64 (expm1.f64 (log1p.f64 (log.f64 (.f64 (.f64 z 1/3) t)))))))) (/.f64 a (*.f64 b 3)))
	20.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (.f64 (exp.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z 1/3) t)))) (exp.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z 1/3) t))))))) (/.f64 a (.f64 b 3)))
	20.6b	(-.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 (.f64 z 1/3) t)))) (.f64 (sin.f64 (fma.f64 (.f64 z t) -1/3 y)) (sin.f64 (fma.f64 -1/3 (.f64 z t) (.f64 (.f64 z 1/3) t)))))) (/.f64 a (*.f64 b 3)))
	34.7b	(-.f64 (-.f64 1 1) (/.f64 a (*.f64 b 3)))
	25.9b	(fma.f64 2 (exp.f64 (.f64 (log.f64 (.f64 x (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2))) 1/2)) (.f64 a (/.f64 -1/3 b)))
	40.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (exp.f64 1) (.f64 2 (log.f64 (cbrt.f64 (.f64 (.f64 z 1/3) t))))) (pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (.f64 (.f64 z 1/3) t)))))))) (/.f64 a (*.f64 b 3)))
	28.2b	(-.f64 (.f64 (expm1.f64 (log1p.f64 (cos.f64 (.f64 z (.f64 t 1/3))))) (.f64 2 (sqrt.f64 x))) (/.f64 a (*.f64 b 3)))
	28.2b	(-.f64 (.f64 (.f64 (cos.f64 (.f64 z (.f64 t 1/3))) 1) (.f64 2 (sqrt.f64 x))) (/.f64 a (.f64 b 3)))
▶	35.0b	(*.f64 -1/3 (/.f64 a b))
	31.2b	(-.f64 (exp.f64 (log.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))))) (/.f64 a (*.f64 b 3)))
	40.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (.f64 (.f64 z 1/3) t)))) (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (.f64 (.f64 z 1/3) t)))))))) (/.f64 a (.f64 b 3)))
	20.7b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (pow.f64 (cbrt.f64 (.f64 t -1/3)) 3) y))) (*.f64 a (/.f64 -1/3 b)))
	56.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (exp.f64 (fma.f64 (sqrt.f64 (log.f64 (.f64 t 1/3))) (sqrt.f64 (log.f64 (.f64 t 1/3))) (log.f64 z)))))) (/.f64 a (*.f64 b 3)))
	20.8b	(-.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)))
	21.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (cos.f64 (fma.f64 (.f64 (.f64 z t) -1/3) 1 (.f64 (.f64 z 1/3) t)))) (.f64 (sin.f64 (fma.f64 (.f64 z t) -1/3 y)) (sin.f64 (fma.f64 (.f64 (.f64 z t) -1/3) 1 (.f64 (.f64 z 1/3) t)))))) (/.f64 a (*.f64 b 3)))
	28.1b	(-.f64 (.f64 (cos.f64 (.f64 t (.f64 1/3 z))) (.f64 2 (sqrt.f64 x))) (*.f64 a (/.f64 1/3 b)))
	21.8b	(fma.f64 2 (.f64 (cbrt.f64 x) (.f64 (pow.f64 x 1/6) (cos.f64 (fma.f64 z (.f64 t -1/3) y)))) (.f64 a (/.f64 -1/3 b)))
	28.2b	(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 (.f64 z (.f64 t 1/3))) 2))) (/.f64 a (*.f64 b 3)))
	61.9b	(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 a (/.f64 1/3 b)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 a (/.f64 1/3 b)))))))
▶	22.5b	(-.f64 (expm1.f64 (log1p.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))))) (/.f64 a (*.f64 b 3)))
	40.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (exp.f64 1) (log.f64 (.f64 z t))) (pow.f64 (exp.f64 1) (log1p.f64 -2/3)))))) (/.f64 a (*.f64 b 3)))
	19.6b	(-.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 (.f64 z 1/3) t)))) (.f64 (sin.f64 (fma.f64 (.f64 z t) -1/3 y)) (sin.f64 (fma.f64 (neg.f64 (.f64 t 1/3)) z (.f64 (.f64 z 1/3) t)))))) (/.f64 a (*.f64 b 3)))
	34.5b	(fma.f64 2 (pow.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (sqrt.f64 x))) 2) (.f64 a (/.f64 -1/3 b)))
	62.0b	(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 a (/.f64 1/3 b))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 a (/.f64 1/3 b)))))))
	36.4b	(fma.f64 2 (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (sqrt.f64 x)))) 1/3)) (*.f64 a (/.f64 -1/3 b)))
	50.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (exp.f64 1) (log.f64 (.f64 t 1/3))) (pow.f64 (exp.f64 1) (log.f64 z)))))) (/.f64 a (*.f64 b 3)))
	36.1b	(-.f64 (.f64 (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 z (.f64 t 1/3))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 z (.f64 t 1/3))))) (sin.f64 1))) (.f64 2 (sqrt.f64 x))) (/.f64 a (*.f64 b 3)))
	20.8b	(-.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)))
	44.8b	(-.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (+.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))) (sqrt.f64 (.f64 x 4))))) 1) (/.f64 a (*.f64 b 3)))
	43.1b	(-.f64 (.f64 (cos.f64 (.f64 t (.f64 1/3 z))) (.f64 2 (sqrt.f64 x))) (exp.f64 (log.f64 (*.f64 a (/.f64 1/3 b)))))
	28.3b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 z (.f64 t 1/3))) (.f64 2 (sqrt.f64 x)))) 3) (/.f64 a (*.f64 b 3)))
	54.0b	(-.f64 (.f64 (cos.f64 (.f64 t (exp.f64 (log.f64 (.f64 1/3 z))))) (.f64 2 (sqrt.f64 x))) (/.f64 a (*.f64 b 3)))
	20.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z 1/3) t)))) 2) (cbrt.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z 1/3) t)))) (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z 1/3) t))))) (/.f64 a (.f64 b 3)))
	20.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 a b) 1/3))
	20.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (/.f64 3 (.f64 z t)) -1)))) (/.f64 a (.f64 b 3)))
	56.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (exp.f64 (-.f64 (log.f64 (.f64 t -1/3)) (log.f64 (/.f64 -1 z))))))) (/.f64 a (.f64 b 3)))
	36.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 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)))))) (/.f64 a (.f64 b 3)))
	20.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (.f64 (.f64 t 1/3) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (/.f64 a (.f64 b 3)))
	41.4b	(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (pow.f64 (pow.f64 (*.f64 a (/.f64 1/3 b)) 3) 1/3))
▶	17.2b	(fma.f64 (.f64 (.f64 2 (cos.f64 y)) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (*.f64 a (neg.f64 (/.f64 1/3 b))))
	20.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z 1/3) t))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
	61.9b	(log.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 a (/.f64 1/3 b)))))
	21.4b	(-.f64 (sqrt.f64 (.f64 x (.f64 (pow.f64 (cos.f64 y) 2) 4))) (/.f64 a (*.f64 b 3)))
	28.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (.f64 z (sqrt.f64 (.f64 t 1/3))) (sqrt.f64 (.f64 t 1/3)))))) (/.f64 a (*.f64 b 3)))
	20.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))))))) (/.f64 a (*.f64 b 3)))
	31.2b	(-.f64 (-.f64 (+.f64 1 (.f64 2 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (sqrt.f64 x)))) 1) (/.f64 a (*.f64 b 3)))
	33.7b	(-.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (sqrt.f64 (.f64 x 4))))) 1) (/.f64 a (*.f64 b 3)))
	36.9b	(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (exp.f64 (log.f64 (*.f64 a (/.f64 1/3 b)))))

Compiler

Compiled 6006 to 4616 computations (23.1% saved)

localize12.0ms (0.1%)

Local error

Found 6 expressions with local error:

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

series6.0ms (0%)

Counts

2 → 61

Calls

18 calls:

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

rewrite99.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

835×	`log-prod_binary64`
481×	`fma-def_binary64`
296×	`expm1-udef_binary64`
296×	`log1p-udef_binary64`
269×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	27
1	353	25
2	4571	25

Stop Event

1×	node limit

Counts

2 → 250

Calls

Call 1

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

Outputs

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

simplify68.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

915×	`fma-def_binary64`
490×	`distribute-rgt-neg-in_binary64`
446×	`distribute-lft-neg-in_binary64`
363×	`associate-l_binary64`
323×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	829
1	106	814
2	285	790
3	952	788
4	3963	788

Stop Event

1×	node limit

Counts

311 → 267

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 -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)))
(.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)))

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

localize3.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.5b	(*.f64 -1/3 (/.f64 a b))
✓	0.5b	(*.f64 -1/3 (/.f64 a b))

series2.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite41.0ms (0.2%)

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

simplify7.0ms (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

localize14.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(/.f64 a (*.f64 b 3))
	0.2b	(*.f64 (cos.f64 y) (sqrt.f64 x))
	0.0b	(-.f64 (expm1.f64 (log1p.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))))) (/.f64 a (*.f64 b 3)))
	0.0b	(log1p.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))))
✓	0.0b	(-.f64 (expm1.f64 (log1p.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))))) (/.f64 a (*.f64 b 3)))
✓	0.2b	(*.f64 (cos.f64 y) (sqrt.f64 x))
	0.2b	(/.f64 a (*.f64 b 3))
✓	1.8b	(expm1.f64 (log1p.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))))

series10.0ms (0%)

Counts

3 → 53

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(expm1.f64 (log1p.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))))
1.0ms	x	@	-inf	(*.f64 (cos.f64 y) (sqrt.f64 x))
1.0ms	y	@	0	(expm1.f64 (log1p.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))))
0.0ms	x	@	0	(*.f64 (cos.f64 y) (sqrt.f64 x))
0.0ms	x	@	inf	(expm1.f64 (log1p.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))))

rewrite93.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

805×	`log-prod_binary64`
360×	`fma-def_binary64`
283×	`pow1/3_binary64`
281×	`expm1-udef_binary64`
281×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	39
1	319	39
2	4166	39

Stop Event

1×	node limit

Counts

3 → 194

Calls

Call 1

Inputs
(expm1.f64 (log1p.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))))
(*.f64 (cos.f64 y) (sqrt.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))))) (/.f64 a (*.f64 b 3)))

Outputs

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

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

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

simplify57.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

723×	`distribute-rgt-out_binary64`
591×	`associate-l_binary64`
489×	`distribute-rgt-neg-in_binary64`
446×	`distribute-lft-neg-in_binary64`
441×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	50	929
1	137	899
2	385	845
3	1295	842
4	4284	842

Stop Event

1×	node limit

Counts

247 → 221

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

localize16.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.3b	(/.f64 1/3 b)
	0.2b	(*.f64 a (neg.f64 (/.f64 1/3 b)))
	0.2b	(fma.f64 (.f64 (.f64 2 (cos.f64 y)) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (*.f64 a (neg.f64 (/.f64 1/3 b))))
	0.2b	(.f64 (.f64 2 (cos.f64 y)) (cbrt.f64 x))
✓	0.2b	(*.f64 a (neg.f64 (/.f64 1/3 b)))
✓	0.3b	(/.f64 1/3 b)
✓	0.5b	(cbrt.f64 (sqrt.f64 x))
✓	0.6b	(cbrt.f64 x)

series13.0ms (0.1%)

Counts

4 → 36

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(cbrt.f64 (sqrt.f64 x))
1.0ms	x	@	-inf	(cbrt.f64 x)
1.0ms	x	@	0	(cbrt.f64 x)
1.0ms	x	@	inf	(cbrt.f64 (sqrt.f64 x))
1.0ms	x	@	0	(cbrt.f64 (sqrt.f64 x))

rewrite64.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

898×	`pow1_binary64`
832×	`add-log-exp_binary64`
831×	`log1p-expm1-u_binary64`
831×	`expm1-log1p-u_binary64`
811×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	225	18
2	2691	18

Stop Event

1×	node limit

Counts

4 → 96

Calls

Call 1

Inputs
(cbrt.f64 x)
(cbrt.f64 (sqrt.f64 x))
(/.f64 1/3 b)
(*.f64 a (neg.f64 (/.f64 1/3 b)))

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

simplify141.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1027×	`sqr-pow_binary64`
755×	`associate-l_binary64`
559×	`cube-prod_binary64`
510×	`associate-r_binary64`
506×	`fabs-mul_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	252
1	39	252
2	67	252
3	141	252
4	489	252
5	2479	252
6	2555	252
7	2716	252
8	2912	252
9	3154	252
10	3486	252
11	4211	252
12	4753	252
13	5481	252
14	5928	252
15	6330	252
16	6660	252
17	6982	252
18	7170	252

Stop Event

1×	node limit

Counts

132 → 99

Calls

Call 1

Inputs
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(.f64 (pow.f64 (.f64 -1 x) 1/6) (pow.f64 (*.f64 (sqrt.f64 -1) 1) 1/3))
(.f64 (pow.f64 (.f64 -1 x) 1/6) (pow.f64 (*.f64 (sqrt.f64 -1) 1) 1/3))
(.f64 (pow.f64 (.f64 -1 x) 1/6) (pow.f64 (*.f64 (sqrt.f64 -1) 1) 1/3))
(.f64 (pow.f64 (.f64 -1 x) 1/6) (pow.f64 (*.f64 (sqrt.f64 -1) 1) 1/3))
(*.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
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(.f64 (pow.f64 (.f64 -1 x) 1/6) (pow.f64 (*.f64 (sqrt.f64 -1) 1) 1/3))
(*.f64 (pow.f64 (neg.f64 x) 1/6) (cbrt.f64 (sqrt.f64 -1)))
(.f64 (pow.f64 (.f64 -1 x) 1/6) (pow.f64 (*.f64 (sqrt.f64 -1) 1) 1/3))
(*.f64 (pow.f64 (neg.f64 x) 1/6) (cbrt.f64 (sqrt.f64 -1)))
(.f64 (pow.f64 (.f64 -1 x) 1/6) (pow.f64 (*.f64 (sqrt.f64 -1) 1) 1/3))
(*.f64 (pow.f64 (neg.f64 x) 1/6) (cbrt.f64 (sqrt.f64 -1)))
(.f64 (pow.f64 (.f64 -1 x) 1/6) (pow.f64 (*.f64 (sqrt.f64 -1) 1) 1/3))
(*.f64 (pow.f64 (neg.f64 x) 1/6) (cbrt.f64 (sqrt.f64 -1)))
(*.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))

localize21.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(*.f64 a (/.f64 -1/3 b))
	0.1b	(sqrt.f64 (.f64 (cos.f64 (fma.f64 z (cbrt.f64 (pow.f64 (.f64 t -1/3) 3)) y)) (sqrt.f64 x)))
	0.1b	(fma.f64 z (cbrt.f64 (pow.f64 (*.f64 t -1/3) 3)) y)
	0.0b	(fma.f64 2 (pow.f64 (sqrt.f64 (.f64 (cos.f64 (fma.f64 z (cbrt.f64 (pow.f64 (.f64 t -1/3) 3)) y)) (sqrt.f64 x))) 2) (*.f64 a (/.f64 -1/3 b)))
	0.3b	(/.f64 -1/3 b)
✓	0.4b	(pow.f64 (sqrt.f64 (.f64 (cos.f64 (fma.f64 z (cbrt.f64 (pow.f64 (.f64 t -1/3) 3)) y)) (sqrt.f64 x))) 2)
✓	24.0b	(cos.f64 (fma.f64 z (cbrt.f64 (pow.f64 (*.f64 t -1/3) 3)) y))
✓	36.0b	(cbrt.f64 (pow.f64 (*.f64 t -1/3) 3))

series32.0ms (0.2%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(pow.f64 (sqrt.f64 (.f64 (cos.f64 (fma.f64 z (cbrt.f64 (pow.f64 (.f64 t -1/3) 3)) y)) (sqrt.f64 x))) 2)
3.0ms	y	@	0	(pow.f64 (sqrt.f64 (.f64 (cos.f64 (fma.f64 z (cbrt.f64 (pow.f64 (.f64 t -1/3) 3)) y)) (sqrt.f64 x))) 2)
3.0ms	t	@	0	(pow.f64 (sqrt.f64 (.f64 (cos.f64 (fma.f64 z (cbrt.f64 (pow.f64 (.f64 t -1/3) 3)) y)) (sqrt.f64 x))) 2)
3.0ms	y	@	inf	(pow.f64 (sqrt.f64 (.f64 (cos.f64 (fma.f64 z (cbrt.f64 (pow.f64 (.f64 t -1/3) 3)) y)) (sqrt.f64 x))) 2)
2.0ms	z	@	0	(pow.f64 (sqrt.f64 (.f64 (cos.f64 (fma.f64 z (cbrt.f64 (pow.f64 (.f64 t -1/3) 3)) y)) (sqrt.f64 x))) 2)

rewrite71.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

649×	`log-prod_binary64`
420×	`pow-prod-down_binary64`
353×	`pow2_binary64`
248×	`pow-unpow_binary64`
247×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	29
1	354	29
2	3456	29

Stop Event

1×	node limit

Counts

3 → 94

Calls

Call 1

Inputs

(cbrt.f64 (pow.f64 (*.f64 t -1/3) 3))

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

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

Outputs

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

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

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

simplify96.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

648×	`fma-neg_binary64`
350×	`distribute-rgt-neg-in_binary64`
280×	`unswap-sqr_binary64`
239×	`associate-/l*_binary64`
232×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	177	2828
1	543	2698
2	1979	2669
3	5476	2212

Stop Event

1×	node limit

Counts

190 → 140

Calls

Call 1

Inputs
(*.f64 t (cbrt.f64 -1/27))
(*.f64 t (cbrt.f64 -1/27))
(*.f64 t (cbrt.f64 -1/27))
(*.f64 t (cbrt.f64 -1/27))
(*.f64 t (cbrt.f64 -1/27))
(*.f64 t (cbrt.f64 -1/27))
(*.f64 t (cbrt.f64 -1/27))
(*.f64 t (cbrt.f64 -1/27))
(*.f64 -1/3 t)
(*.f64 -1/3 t)
(*.f64 -1/3 t)
(*.f64 -1/3 t)
(cos.f64 y)
(+.f64 (.f64 -1 (.f64 t (.f64 (cbrt.f64 -1/27) (.f64 z (sin.f64 y))))) (cos.f64 y))
(+.f64 (.f64 -1 (.f64 t (.f64 (cbrt.f64 -1/27) (.f64 z (sin.f64 y))))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 t 2) (.f64 (pow.f64 (cbrt.f64 -1/27) 2) (.f64 (pow.f64 z 2) (cos.f64 y))))) (cos.f64 y)))
(+.f64 (.f64 -1 (.f64 t (.f64 (cbrt.f64 -1/27) (.f64 z (sin.f64 y))))) (+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y)))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 t 2) (.f64 (pow.f64 (cbrt.f64 -1/27) 2) (*.f64 (pow.f64 z 2) (cos.f64 y))))) (cos.f64 y))))
(cos.f64 (fma.f64 z (*.f64 t (cbrt.f64 -1/27)) y))
(cos.f64 (fma.f64 z (*.f64 t (cbrt.f64 -1/27)) y))
(cos.f64 (fma.f64 z (*.f64 t (cbrt.f64 -1/27)) y))
(cos.f64 (fma.f64 z (*.f64 t (cbrt.f64 -1/27)) y))
(cos.f64 (fma.f64 z (*.f64 t (cbrt.f64 -1/27)) y))
(cos.f64 (fma.f64 z (*.f64 t (cbrt.f64 -1/27)) y))
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(cos.f64 (fma.f64 z (*.f64 t (cbrt.f64 -1/27)) y))
(cos.f64 y)
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(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))
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(cos.f64 (fma.f64 z (*.f64 t (cbrt.f64 -1/27)) y))
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(.f64 (cos.f64 (fma.f64 z (.f64 t (cbrt.f64 -1/27)) y)) (sqrt.f64 x))
(.f64 (cos.f64 (fma.f64 z (.f64 t (cbrt.f64 -1/27)) y)) (sqrt.f64 x))
(.f64 (cos.f64 (fma.f64 z (.f64 t (cbrt.f64 -1/27)) y)) (sqrt.f64 x))
(.f64 (cos.f64 (fma.f64 z (.f64 t (cbrt.f64 -1/27)) y)) (sqrt.f64 x))
(.f64 (cos.f64 (fma.f64 z (.f64 t (cbrt.f64 -1/27)) y)) (sqrt.f64 x))
(.f64 (cos.f64 (fma.f64 z (.f64 t (cbrt.f64 -1/27)) y)) (sqrt.f64 x))
(.f64 (cos.f64 (fma.f64 z (.f64 t (cbrt.f64 -1/27)) y)) (sqrt.f64 x))
(.f64 (cos.f64 (fma.f64 z (.f64 t (cbrt.f64 -1/27)) y)) (sqrt.f64 x))
(*.f64 (cos.f64 y) (sqrt.f64 x))
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(.f64 (cos.f64 (fma.f64 z (.f64 t (cbrt.f64 -1/27)) y)) (sqrt.f64 x))
(.f64 (cos.f64 (fma.f64 z (.f64 t (cbrt.f64 -1/27)) y)) (sqrt.f64 x))
(.f64 (cos.f64 (fma.f64 z (.f64 t (cbrt.f64 -1/27)) y)) (sqrt.f64 x))
(.f64 (cos.f64 (fma.f64 z (.f64 t (cbrt.f64 -1/27)) y)) (sqrt.f64 x))
(.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) (sqrt.f64 x))
(.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) (sqrt.f64 x))
(.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) (sqrt.f64 x))
(.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) (sqrt.f64 x))
(.f64 (cos.f64 (.f64 t (*.f64 (cbrt.f64 -1/27) z))) (sqrt.f64 x))
(+.f64 (.f64 (cos.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z))) (sqrt.f64 x)) (.f64 -1 (.f64 (.f64 y (sin.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z)))) (sqrt.f64 x))))
(+.f64 (.f64 (cos.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z))) (sqrt.f64 x)) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 (-.f64 (.f64 -1/2 (cos.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z)))) (pow.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z))) (sqrt.f64 (/.f64 1 (cos.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z))))))) 2)) (sqrt.f64 x)) (.f64 1/4 (.f64 (/.f64 (pow.f64 (sin.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z))) 2) (cos.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z)))) (sqrt.f64 x))))) (.f64 -1 (.f64 (.f64 y (sin.f64 (.f64 t (*.f64 (cbrt.f64 -1/27) z)))) (sqrt.f64 x)))))
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(.f64 (cos.f64 (fma.f64 z (.f64 t (cbrt.f64 -1/27)) y)) (sqrt.f64 x))
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(.f64 (cos.f64 (fma.f64 z (.f64 t (cbrt.f64 -1/27)) y)) (sqrt.f64 x))
(.f64 (cos.f64 (fma.f64 z (.f64 t (cbrt.f64 -1/27)) y)) (sqrt.f64 x))
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(.f64 (cos.f64 (fma.f64 z (.f64 t (cbrt.f64 -1/27)) y)) (sqrt.f64 x))
(.f64 (cos.f64 (fma.f64 z (.f64 t (cbrt.f64 -1/27)) y)) (sqrt.f64 x))
(.f64 (cos.f64 (fma.f64 z (.f64 t (cbrt.f64 -1/27)) y)) (sqrt.f64 x))
(.f64 (cos.f64 (+.f64 y (.f64 t (*.f64 (cbrt.f64 -1/27) z)))) (sqrt.f64 x))
(.f64 (cos.f64 (+.f64 y (.f64 t (*.f64 (cbrt.f64 -1/27) z)))) (sqrt.f64 x))
(.f64 (cos.f64 (+.f64 y (.f64 t (*.f64 (cbrt.f64 -1/27) z)))) (sqrt.f64 x))
(.f64 (cos.f64 (+.f64 y (.f64 t (*.f64 (cbrt.f64 -1/27) z)))) (sqrt.f64 x))
(.f64 (cos.f64 (+.f64 y (.f64 t (*.f64 (cbrt.f64 -1/27) z)))) (sqrt.f64 x))
(.f64 (cos.f64 (+.f64 y (.f64 t (*.f64 (cbrt.f64 -1/27) z)))) (sqrt.f64 x))
(.f64 (cos.f64 (+.f64 y (.f64 t (*.f64 (cbrt.f64 -1/27) z)))) (sqrt.f64 x))
(.f64 (cos.f64 (+.f64 y (.f64 t (*.f64 (cbrt.f64 -1/27) z)))) (sqrt.f64 x))
(.f64 (.f64 (cos.f64 (+.f64 y (.f64 t (.f64 (cbrt.f64 -1/27) z)))) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 x))
(.f64 (.f64 (cos.f64 (+.f64 y (.f64 t (.f64 (cbrt.f64 -1/27) z)))) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 x))
(.f64 (.f64 (cos.f64 (+.f64 y (.f64 t (.f64 (cbrt.f64 -1/27) z)))) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 x))
(.f64 (.f64 (cos.f64 (+.f64 y (.f64 t (.f64 (cbrt.f64 -1/27) z)))) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 x))

Outputs
(*.f64 t (cbrt.f64 -1/27))
(*.f64 t (cbrt.f64 -1/27))
(*.f64 t (cbrt.f64 -1/27))
(*.f64 t (cbrt.f64 -1/27))
(*.f64 t (cbrt.f64 -1/27))
(*.f64 t (cbrt.f64 -1/27))
(*.f64 t (cbrt.f64 -1/27))
(*.f64 t (cbrt.f64 -1/27))
(*.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)
(cos.f64 y)
(+.f64 (.f64 -1 (.f64 t (.f64 (cbrt.f64 -1/27) (.f64 z (sin.f64 y))))) (cos.f64 y))
(fma.f64 -1 (.f64 t (.f64 (cbrt.f64 -1/27) (*.f64 z (sin.f64 y)))) (cos.f64 y))
(-.f64 (cos.f64 y) (.f64 (cbrt.f64 -1/27) (.f64 (*.f64 z (sin.f64 y)) t)))
(-.f64 (cos.f64 y) (.f64 t (.f64 (sin.f64 y) (*.f64 (cbrt.f64 -1/27) z))))
(+.f64 (.f64 -1 (.f64 t (.f64 (cbrt.f64 -1/27) (.f64 z (sin.f64 y))))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 t 2) (.f64 (pow.f64 (cbrt.f64 -1/27) 2) (.f64 (pow.f64 z 2) (cos.f64 y))))) (cos.f64 y)))
(fma.f64 -1 (.f64 t (.f64 (cbrt.f64 -1/27) (.f64 z (sin.f64 y)))) (fma.f64 -1/2 (.f64 (.f64 t t) (.f64 (pow.f64 (cbrt.f64 -1/27) 2) (.f64 (cos.f64 y) (.f64 z z)))) (cos.f64 y)))
(-.f64 (fma.f64 -1/2 (.f64 (pow.f64 (cbrt.f64 -1/27) 2) (.f64 (.f64 (cos.f64 y) (.f64 z z)) (.f64 t t))) (cos.f64 y)) (.f64 (cbrt.f64 -1/27) (.f64 (.f64 z (sin.f64 y)) t)))
(-.f64 (fma.f64 -1/2 (.f64 (.f64 (cos.f64 y) (.f64 z z)) (.f64 t (.f64 t (pow.f64 (cbrt.f64 -1/27) 2)))) (cos.f64 y)) (.f64 t (.f64 (sin.f64 y) (.f64 (cbrt.f64 -1/27) z))))
(+.f64 (.f64 -1 (.f64 t (.f64 (cbrt.f64 -1/27) (.f64 z (sin.f64 y))))) (+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y)))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 t 2) (.f64 (pow.f64 (cbrt.f64 -1/27) 2) (*.f64 (pow.f64 z 2) (cos.f64 y))))) (cos.f64 y))))
(fma.f64 -1 (.f64 t (.f64 (cbrt.f64 -1/27) (.f64 z (sin.f64 y)))) (fma.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (sin.f64 y) (pow.f64 z 3))) (fma.f64 -1/2 (.f64 (.f64 t t) (.f64 (pow.f64 (cbrt.f64 -1/27) 2) (.f64 (cos.f64 y) (.f64 z z)))) (cos.f64 y))))
(-.f64 (fma.f64 -1/162 (.f64 (sin.f64 y) (.f64 (pow.f64 t 3) (pow.f64 z 3))) (fma.f64 -1/2 (.f64 (pow.f64 (cbrt.f64 -1/27) 2) (.f64 (.f64 (cos.f64 y) (.f64 z z)) (.f64 t t))) (cos.f64 y))) (.f64 (cbrt.f64 -1/27) (.f64 (.f64 z (sin.f64 y)) t)))
(+.f64 (fma.f64 -1/2 (.f64 (.f64 (cos.f64 y) (.f64 z z)) (.f64 t (.f64 t (pow.f64 (cbrt.f64 -1/27) 2)))) (cos.f64 y)) (.f64 (sin.f64 y) (+.f64 (.f64 (neg.f64 t) (.f64 (cbrt.f64 -1/27) z)) (.f64 (.f64 -1/162 (pow.f64 t 3)) (pow.f64 z 3)))))
(fma.f64 (+.f64 (.f64 (.f64 -1/2 (.f64 t t)) (.f64 (pow.f64 (cbrt.f64 -1/27) 2) (.f64 z z))) 1) (cos.f64 y) (.f64 (sin.f64 y) (-.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (.f64 t (.f64 (cbrt.f64 -1/27) z)))))
(cos.f64 (fma.f64 z (*.f64 t (cbrt.f64 -1/27)) y))
(cos.f64 (fma.f64 t (*.f64 (cbrt.f64 -1/27) z) y))
(cos.f64 (fma.f64 z (*.f64 t (cbrt.f64 -1/27)) y))
(cos.f64 (fma.f64 t (*.f64 (cbrt.f64 -1/27) z) y))
(cos.f64 (fma.f64 z (*.f64 t (cbrt.f64 -1/27)) y))
(cos.f64 (fma.f64 t (*.f64 (cbrt.f64 -1/27) z) y))
(cos.f64 (fma.f64 z (*.f64 t (cbrt.f64 -1/27)) y))
(cos.f64 (fma.f64 t (*.f64 (cbrt.f64 -1/27) z) y))
(cos.f64 (fma.f64 z (*.f64 t (cbrt.f64 -1/27)) y))
(cos.f64 (fma.f64 t (*.f64 (cbrt.f64 -1/27) z) y))
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(+.f64 (.f64 y (.f64 y (.f64 (sqrt.f64 x) (+.f64 (-.f64 (.f64 -1/2 (cos.f64 (.f64 (cbrt.f64 -1/27) (.f64 t z)))) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 (.f64 (cbrt.f64 -1/27) (.f64 t z))))) (.f64 -1/2 (sin.f64 (.f64 (cbrt.f64 -1/27) (.f64 t z))))) 2)) (.f64 1/4 (/.f64 (pow.f64 (sin.f64 (.f64 (cbrt.f64 -1/27) (.f64 t z))) 2) (cos.f64 (.f64 (cbrt.f64 -1/27) (.f64 t z))))))))) (.f64 (sqrt.f64 x) (fma.f64 (neg.f64 y) (sin.f64 (.f64 (cbrt.f64 -1/27) (.f64 t z))) (cos.f64 (.f64 (cbrt.f64 -1/27) (.f64 t z))))))
(+.f64 (.f64 y (.f64 y (.f64 (sqrt.f64 x) (+.f64 (fma.f64 -1/2 (cos.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z))) (.f64 (.f64 (/.f64 1 (cos.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z)))) (pow.f64 (sin.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z))) 2)) -1/4)) (/.f64 1/4 (/.f64 (cos.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z))) (pow.f64 (sin.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z))) 2))))))) (.f64 (sqrt.f64 x) (fma.f64 (neg.f64 y) (sin.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z))) (cos.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z))))))
(fma.f64 (.f64 (sqrt.f64 x) (.f64 y y)) (+.f64 (fma.f64 -1/2 (cos.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z))) (.f64 (/.f64 1 (cos.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z)))) (.f64 (pow.f64 (sin.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z))) 2) -1/4))) (/.f64 1/4 (/.f64 (cos.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z))) (pow.f64 (sin.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z))) 2)))) (.f64 (sqrt.f64 x) (fma.f64 (neg.f64 y) (sin.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z))) (cos.f64 (.f64 t (*.f64 (cbrt.f64 -1/27) z))))))
(+.f64 (.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/6 (sin.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z)))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z))) (-.f64 (.f64 -1/2 (cos.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z)))) (pow.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z))) (sqrt.f64 (/.f64 1 (cos.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z))))))) 2))) (cos.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z)))))) (sqrt.f64 x))) (.f64 -1/2 (.f64 (/.f64 (.f64 (sin.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z))) (-.f64 (.f64 -1/2 (cos.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z)))) (pow.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z))) (sqrt.f64 (/.f64 1 (cos.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z))))))) 2))) (cos.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z)))) (sqrt.f64 x)))) (pow.f64 y 3)) (+.f64 (.f64 (cos.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z))) (sqrt.f64 x)) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 (-.f64 (.f64 -1/2 (cos.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z)))) (pow.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z))) (sqrt.f64 (/.f64 1 (cos.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z))))))) 2)) (sqrt.f64 x)) (.f64 1/4 (.f64 (/.f64 (pow.f64 (sin.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z))) 2) (cos.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z)))) (sqrt.f64 x))))) (.f64 -1 (.f64 (.f64 y (sin.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z)))) (sqrt.f64 x))))))
(fma.f64 (fma.f64 -1 (.f64 (sqrt.f64 x) (fma.f64 -1/6 (sin.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z))) (.f64 -1/2 (/.f64 (sin.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z))) (/.f64 (cos.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z))) (-.f64 (.f64 -1/2 (cos.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z)))) (pow.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z))) (sqrt.f64 (/.f64 1 (cos.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z))))))) 2))))))) (.f64 -1/2 (.f64 (sqrt.f64 x) (/.f64 (sin.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z))) (/.f64 (cos.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z))) (-.f64 (.f64 -1/2 (cos.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z)))) (pow.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z))) (sqrt.f64 (/.f64 1 (cos.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z))))))) 2))))))) (pow.f64 y 3) (fma.f64 (cos.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z))) (sqrt.f64 x) (fma.f64 (.f64 y y) (fma.f64 (-.f64 (.f64 -1/2 (cos.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z)))) (pow.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z))) (sqrt.f64 (/.f64 1 (cos.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z))))))) 2)) (sqrt.f64 x) (.f64 1/4 (.f64 (sqrt.f64 x) (/.f64 (pow.f64 (sin.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z))) 2) (cos.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z))))))) (.f64 (neg.f64 (.f64 y (sin.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z))))) (sqrt.f64 x)))))
(fma.f64 (pow.f64 y 3) (.f64 (sqrt.f64 x) (+.f64 (.f64 -1/2 (.f64 (/.f64 (sin.f64 (.f64 (cbrt.f64 -1/27) (.f64 t z))) (cos.f64 (.f64 (cbrt.f64 -1/27) (.f64 t z)))) (-.f64 (.f64 -1/2 (cos.f64 (.f64 (cbrt.f64 -1/27) (.f64 t z)))) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 (.f64 (cbrt.f64 -1/27) (.f64 t z))))) (.f64 -1/2 (sin.f64 (.f64 (cbrt.f64 -1/27) (.f64 t z))))) 2)))) (neg.f64 (fma.f64 -1/2 (.f64 (/.f64 (sin.f64 (.f64 (cbrt.f64 -1/27) (.f64 t z))) (cos.f64 (.f64 (cbrt.f64 -1/27) (.f64 t z)))) (-.f64 (.f64 -1/2 (cos.f64 (.f64 (cbrt.f64 -1/27) (.f64 t z)))) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 (.f64 (cbrt.f64 -1/27) (.f64 t z))))) (.f64 -1/2 (sin.f64 (.f64 (cbrt.f64 -1/27) (.f64 t z))))) 2))) (.f64 (sin.f64 (.f64 (cbrt.f64 -1/27) (.f64 t z))) -1/6))))) (+.f64 (.f64 y (.f64 y (.f64 (sqrt.f64 x) (+.f64 (-.f64 (.f64 -1/2 (cos.f64 (.f64 (cbrt.f64 -1/27) (.f64 t z)))) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 (.f64 (cbrt.f64 -1/27) (.f64 t z))))) (.f64 -1/2 (sin.f64 (.f64 (cbrt.f64 -1/27) (.f64 t z))))) 2)) (.f64 1/4 (/.f64 (pow.f64 (sin.f64 (.f64 (cbrt.f64 -1/27) (.f64 t z))) 2) (cos.f64 (.f64 (cbrt.f64 -1/27) (.f64 t z))))))))) (.f64 (sqrt.f64 x) (fma.f64 (neg.f64 y) (sin.f64 (.f64 (cbrt.f64 -1/27) (.f64 t z))) (cos.f64 (.f64 (cbrt.f64 -1/27) (*.f64 t z)))))))
(fma.f64 (pow.f64 y 3) (.f64 (sqrt.f64 x) (-.f64 (.f64 (/.f64 (.f64 -1/2 (sin.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z)))) (cos.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z)))) (fma.f64 -1/2 (cos.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z))) (.f64 (.f64 (/.f64 1 (cos.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z)))) (pow.f64 (sin.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z))) 2)) -1/4))) (fma.f64 -1/2 (.f64 (/.f64 (sin.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z))) (cos.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z)))) (fma.f64 -1/2 (cos.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z))) (.f64 (.f64 (/.f64 1 (cos.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z)))) (pow.f64 (sin.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z))) 2)) -1/4))) (.f64 (sin.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z))) -1/6)))) (+.f64 (.f64 y (.f64 y (.f64 (sqrt.f64 x) (+.f64 (fma.f64 -1/2 (cos.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z))) (.f64 (.f64 (/.f64 1 (cos.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z)))) (pow.f64 (sin.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z))) 2)) -1/4)) (/.f64 1/4 (/.f64 (cos.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z))) (pow.f64 (sin.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z))) 2))))))) (.f64 (sqrt.f64 x) (fma.f64 (neg.f64 y) (sin.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z))) (cos.f64 (.f64 t (*.f64 (cbrt.f64 -1/27) z)))))))
(fma.f64 (pow.f64 y 3) (.f64 (sqrt.f64 x) (.f64 (sin.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z))) 1/6)) (fma.f64 (.f64 (sqrt.f64 x) (.f64 y y)) (+.f64 (fma.f64 -1/2 (cos.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z))) (.f64 (/.f64 1 (cos.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z)))) (.f64 (pow.f64 (sin.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z))) 2) -1/4))) (/.f64 1/4 (/.f64 (cos.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z))) (pow.f64 (sin.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z))) 2)))) (.f64 (sqrt.f64 x) (fma.f64 (neg.f64 y) (sin.f64 (.f64 t (.f64 (cbrt.f64 -1/27) z))) (cos.f64 (.f64 t (*.f64 (cbrt.f64 -1/27) z)))))))
(.f64 (cos.f64 (fma.f64 z (.f64 t (cbrt.f64 -1/27)) y)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 t (.f64 (cbrt.f64 -1/27) z) y)))
(.f64 (cos.f64 (fma.f64 z (.f64 t (cbrt.f64 -1/27)) y)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 t (.f64 (cbrt.f64 -1/27) z) y)))
(.f64 (cos.f64 (fma.f64 z (.f64 t (cbrt.f64 -1/27)) y)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 t (.f64 (cbrt.f64 -1/27) z) y)))
(.f64 (cos.f64 (fma.f64 z (.f64 t (cbrt.f64 -1/27)) y)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 t (.f64 (cbrt.f64 -1/27) z) y)))
(.f64 (cos.f64 (fma.f64 z (.f64 t (cbrt.f64 -1/27)) y)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 t (.f64 (cbrt.f64 -1/27) z) y)))
(.f64 (cos.f64 (fma.f64 z (.f64 t (cbrt.f64 -1/27)) y)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 t (.f64 (cbrt.f64 -1/27) z) y)))
(.f64 (cos.f64 (fma.f64 z (.f64 t (cbrt.f64 -1/27)) y)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 t (.f64 (cbrt.f64 -1/27) z) y)))
(.f64 (cos.f64 (fma.f64 z (.f64 t (cbrt.f64 -1/27)) y)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 t (.f64 (cbrt.f64 -1/27) z) y)))
(.f64 (cos.f64 (+.f64 y (.f64 t (*.f64 (cbrt.f64 -1/27) z)))) (sqrt.f64 x))
(.f64 (cos.f64 (fma.f64 z (.f64 t (cbrt.f64 -1/27)) y)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 t (.f64 (cbrt.f64 -1/27) z) y)))
(.f64 (cos.f64 (+.f64 y (.f64 t (*.f64 (cbrt.f64 -1/27) z)))) (sqrt.f64 x))
(.f64 (cos.f64 (fma.f64 z (.f64 t (cbrt.f64 -1/27)) y)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 t (.f64 (cbrt.f64 -1/27) z) y)))
(.f64 (cos.f64 (+.f64 y (.f64 t (*.f64 (cbrt.f64 -1/27) z)))) (sqrt.f64 x))
(.f64 (cos.f64 (fma.f64 z (.f64 t (cbrt.f64 -1/27)) y)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 t (.f64 (cbrt.f64 -1/27) z) y)))
(.f64 (cos.f64 (+.f64 y (.f64 t (*.f64 (cbrt.f64 -1/27) z)))) (sqrt.f64 x))
(.f64 (cos.f64 (fma.f64 z (.f64 t (cbrt.f64 -1/27)) y)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 t (.f64 (cbrt.f64 -1/27) z) y)))
(.f64 (cos.f64 (+.f64 y (.f64 t (*.f64 (cbrt.f64 -1/27) z)))) (sqrt.f64 x))
(.f64 (cos.f64 (fma.f64 z (.f64 t (cbrt.f64 -1/27)) y)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 t (.f64 (cbrt.f64 -1/27) z) y)))
(.f64 (cos.f64 (+.f64 y (.f64 t (*.f64 (cbrt.f64 -1/27) z)))) (sqrt.f64 x))
(.f64 (cos.f64 (fma.f64 z (.f64 t (cbrt.f64 -1/27)) y)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 t (.f64 (cbrt.f64 -1/27) z) y)))
(.f64 (cos.f64 (+.f64 y (.f64 t (*.f64 (cbrt.f64 -1/27) z)))) (sqrt.f64 x))
(.f64 (cos.f64 (fma.f64 z (.f64 t (cbrt.f64 -1/27)) y)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 t (.f64 (cbrt.f64 -1/27) z) y)))
(.f64 (cos.f64 (+.f64 y (.f64 t (*.f64 (cbrt.f64 -1/27) z)))) (sqrt.f64 x))
(.f64 (cos.f64 (fma.f64 z (.f64 t (cbrt.f64 -1/27)) y)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 t (.f64 (cbrt.f64 -1/27) z) y)))
(.f64 (.f64 (cos.f64 (+.f64 y (.f64 t (.f64 (cbrt.f64 -1/27) z)))) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (.f64 (cos.f64 (+.f64 y (.f64 t (.f64 (cbrt.f64 -1/27) z)))) (pow.f64 (sqrt.f64 -1) 2)))
(.f64 (cos.f64 (fma.f64 t (.f64 (cbrt.f64 -1/27) z) y)) (*.f64 -1 (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (neg.f64 (cos.f64 (fma.f64 t (.f64 (cbrt.f64 -1/27) z) y))))
(.f64 (.f64 (cos.f64 (+.f64 y (.f64 t (.f64 (cbrt.f64 -1/27) z)))) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (.f64 (cos.f64 (+.f64 y (.f64 t (.f64 (cbrt.f64 -1/27) z)))) (pow.f64 (sqrt.f64 -1) 2)))
(.f64 (cos.f64 (fma.f64 t (.f64 (cbrt.f64 -1/27) z) y)) (*.f64 -1 (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (neg.f64 (cos.f64 (fma.f64 t (.f64 (cbrt.f64 -1/27) z) y))))
(.f64 (.f64 (cos.f64 (+.f64 y (.f64 t (.f64 (cbrt.f64 -1/27) z)))) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (.f64 (cos.f64 (+.f64 y (.f64 t (.f64 (cbrt.f64 -1/27) z)))) (pow.f64 (sqrt.f64 -1) 2)))
(.f64 (cos.f64 (fma.f64 t (.f64 (cbrt.f64 -1/27) z) y)) (*.f64 -1 (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (neg.f64 (cos.f64 (fma.f64 t (.f64 (cbrt.f64 -1/27) z) y))))
(.f64 (.f64 (cos.f64 (+.f64 y (.f64 t (.f64 (cbrt.f64 -1/27) z)))) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (.f64 (cos.f64 (+.f64 y (.f64 t (.f64 (cbrt.f64 -1/27) z)))) (pow.f64 (sqrt.f64 -1) 2)))
(.f64 (cos.f64 (fma.f64 t (.f64 (cbrt.f64 -1/27) z) y)) (*.f64 -1 (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (neg.f64 (cos.f64 (fma.f64 t (.f64 (cbrt.f64 -1/27) z) y))))

eval541.0ms (2.6%)

Compiler: Compiled 21052 to 12452 computations (40.9% saved)

prune449.0ms (2.2%)

Pruning

127 alts after pruning (123 fresh and 4 done)

	Pruned	Kept	Total
New	799	44	843
Fresh	14	79	93
Picked	0	1	1
Done	3	3	6
Total	816	127	943

Error

13.2b

Counts

943 → 127

Alt Table

Click to see full alt table

Status	Error	Program
	58.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (.f64 z 1/3) t)))) (sqrt.f64 (log.f64 (.f64 (.f64 z 1/3) t))))))) (/.f64 a (*.f64 b 3)))
	34.4b	(-.f64 (pow.f64 (pow.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) 3) 1/3) (/.f64 a (*.f64 b 3)))
	21.0b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (sqrt.f64 (.f64 x 4)))) 3) (/.f64 a (.f64 b 3)))
▶	26.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (.f64 z (cbrt.f64 (.f64 1/9 (.f64 t t)))) (cbrt.f64 (.f64 t 1/3)))))) (/.f64 a (.f64 b 3)))
	20.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z 1/3) t))) 2) (pow.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z 1/3) t))) 2)) (cos.f64 (fma.f64 z (.f64 t 1/3) y)))) (/.f64 a (.f64 b 3)))
	21.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))))))) (/.f64 a (*.f64 b 3)))
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	44.8b	(-.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (+.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))) (sqrt.f64 (.f64 x 4))))) 1) (/.f64 a (*.f64 b 3)))
	28.8b	(-.f64 (expm1.f64 (log1p.f64 (.f64 2 (-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 y) (sqrt.f64 x)))) 1)))) (/.f64 a (*.f64 b 3)))
	43.1b	(-.f64 (.f64 (cos.f64 (.f64 t (.f64 1/3 z))) (.f64 2 (sqrt.f64 x))) (exp.f64 (log.f64 (*.f64 a (/.f64 1/3 b)))))
	28.3b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 z (.f64 t 1/3))) (.f64 2 (sqrt.f64 x)))) 3) (/.f64 a (*.f64 b 3)))
	54.0b	(-.f64 (.f64 (cos.f64 (.f64 t (exp.f64 (log.f64 (.f64 1/3 z))))) (.f64 2 (sqrt.f64 x))) (/.f64 a (*.f64 b 3)))
	20.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z 1/3) t)))) 2) (cbrt.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z 1/3) t)))) (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z 1/3) t))))) (/.f64 a (.f64 b 3)))
	20.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 a b) 1/3))
	20.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (/.f64 3 (.f64 z t)) -1)))) (/.f64 a (.f64 b 3)))
	56.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (exp.f64 (-.f64 (log.f64 (.f64 t -1/3)) (log.f64 (/.f64 -1 z))))))) (/.f64 a (.f64 b 3)))
	18.3b	(fma.f64 (.f64 (.f64 2 (cos.f64 y)) (pow.f64 x 1/3)) (cbrt.f64 (sqrt.f64 x)) (*.f64 a (neg.f64 (/.f64 1/3 b))))
	36.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 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)))))) (/.f64 a (.f64 b 3)))
	20.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (.f64 (.f64 t 1/3) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (/.f64 a (.f64 b 3)))
	44.9b	(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
	20.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z 1/3) t))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
	31.2b	(-.f64 (expm1.f64 (log1p.f64 (.f64 2 (exp.f64 (log.f64 (.f64 (cos.f64 y) (sqrt.f64 x))))))) (/.f64 a (*.f64 b 3)))
	27.3b	(/.f64 (-.f64 (.f64 x (.f64 4 (pow.f64 (cos.f64 y) 2))) (.f64 (/.f64 (.f64 a -1/3) b) (/.f64 (.f64 a -1/3) b))) (-.f64 (.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) 2) (/.f64 (.f64 a -1/3) b)))
	28.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (.f64 z (sqrt.f64 (.f64 t 1/3))) (sqrt.f64 (.f64 t 1/3)))))) (/.f64 a (*.f64 b 3)))
	17.6b	(fma.f64 (.f64 (.f64 2 (cos.f64 y)) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (*.f64 a (neg.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 b)) 3))))
	21.4b	(-.f64 (sqrt.f64 (.f64 x (.f64 (pow.f64 (cos.f64 y) 2) 4))) (/.f64 a (*.f64 b 3)))
	20.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))))))) (/.f64 a (*.f64 b 3)))
	31.2b	(-.f64 (-.f64 (+.f64 1 (.f64 2 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (sqrt.f64 x)))) 1) (/.f64 a (*.f64 b 3)))
	33.7b	(-.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (sqrt.f64 (.f64 x 4))))) 1) (/.f64 a (*.f64 b 3)))

Compiler

Compiled 7124 to 5520 computations (22.5% saved)

localize11.0ms (0.1%)

Local error

Found 6 expressions with local error:

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

series8.0ms (0%)

Counts

2 → 61

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (/.f64 (/.f64 1 b) (/.f64 3 a)))
0.0ms	x	@	inf	(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (/.f64 (/.f64 1 b) (/.f64 3 a)))
0.0ms	x	@	-inf	(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (/.f64 (/.f64 1 b) (/.f64 3 a)))
0.0ms	b	@	0	(/.f64 (/.f64 1 b) (/.f64 3 a))
0.0ms	y	@	0	(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (/.f64 (/.f64 1 b) (/.f64 3 a)))

rewrite94.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

839×	`log-prod_binary64`
365×	`fma-def_binary64`
295×	`expm1-udef_binary64`
295×	`log1p-udef_binary64`
249×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	33
1	347	27
2	4588	27

Stop Event

1×	node limit

Counts

2 → 190

Calls

Call 1

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 2)) (neg.f64 (/.f64 (*.f64 a 1/3) b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 2)) (*.f64 (neg.f64 (/.f64 (*.f64 a 1/3) b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 2)) (/.f64 (*.f64 a 1/3) b)) (fma.f64 (neg.f64 (/.f64 (*.f64 a 1/3) b)) 1 (/.f64 (*.f64 a 1/3) b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 2)) (/.f64 (*.f64 a 1/3) b)) (fma.f64 (neg.f64 (*.f64 a 1/3)) (/.f64 1 b) (/.f64 (*.f64 a 1/3) b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 2)) (/.f64 (*.f64 a 1/3) b)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (*.f64 a 1/3) b))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 a 1/3) b) 2)) (/.f64 (*.f64 a 1/3) b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 2)) (/.f64 (*.f64 a 1/3) b)) (+.f64 (neg.f64 (/.f64 (*.f64 a 1/3) b)) (/.f64 (*.f64 a 1/3) b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 2)) (/.f64 (*.f64 a 1/3) b)) (fma.f64 (neg.f64 a) (/.f64 1 (*.f64 3 b)) (/.f64 (*.f64 a 1/3) b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (*.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 2)) (/.f64 (*.f64 a 1/3) b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (*.f64 a 1/3) b)) (*.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 2)) (/.f64 (*.f64 a 1/3) b)))) (cbrt.f64 (exp.f64 (-.f64 (*.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 2)) (/.f64 (*.f64 a 1/3) b)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 2)) (/.f64 (*.f64 a 1/3) b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (*.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 2)) (/.f64 (*.f64 a 1/3) b))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (*.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 2)) (/.f64 (*.f64 a 1/3) b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 2)) (/.f64 (*.f64 a 1/3) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 2)) (/.f64 (*.f64 a 1/3) b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 2)) (/.f64 (*.f64 a 1/3) b))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 2)) (/.f64 (*.f64 a 1/3) b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 2)) (/.f64 (*.f64 a 1/3) b))) 2) (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 2)) (/.f64 (*.f64 a 1/3) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 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simplify69.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

915×	`fma-def_binary64`
490×	`distribute-rgt-neg-in_binary64`
446×	`distribute-lft-neg-in_binary64`
363×	`associate-l_binary64`
323×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	829
1	106	814
2	285	790
3	952	788
4	3963	788

Stop Event

1×	node limit

Counts

251 → 207

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 -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)))
(.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)))

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

localize3.0ms (0%)

Local error

Found 4 expressions with local error:

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

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite43.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

616×	`pow1_binary64`
573×	`add-log-exp_binary64`
573×	`log1p-expm1-u_binary64`
573×	`expm1-log1p-u_binary64`
562×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	128	7
2	1558	7

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify12.0ms (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

44 → 22

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 (/.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)

localize15.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(.f64 z (.f64 t 1/3))
	0.1b	(.f64 (.f64 x 4) (pow.f64 (cos.f64 (.f64 z (.f64 t 1/3))) 2))
	0.0b	(sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 (.f64 z (.f64 t 1/3))) 2)))
	0.0b	(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 (.f64 z (.f64 t 1/3))) 2))) (/.f64 a (*.f64 b 3)))
✓	0.2b	(pow.f64 (cos.f64 (.f64 z (.f64 t 1/3))) 2)
	0.2b	(/.f64 a (*.f64 b 3))
	0.3b	(*.f64 t 1/3)
✓	29.2b	(cos.f64 (.f64 z (.f64 t 1/3)))

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite83.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

787×	`pow1_binary64`
724×	`add-log-exp_binary64`
724×	`log1p-expm1-u_binary64`
724×	`expm1-log1p-u_binary64`
708×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	184	21
2	2017	21

Stop Event

1×	node limit

Counts

2 → 37

Calls

Call 1

Inputs
(cos.f64 (.f64 z (.f64 t 1/3)))
(pow.f64 (cos.f64 (.f64 z (.f64 t 1/3))) 2)

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

simplify151.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

655×	`sqr-pow_binary64`
483×	`+-commutative_binary64`
452×	`distribute-lft-in_binary64`
434×	`distribute-rgt-in_binary64`
380×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	65	684
1	174	672
2	494	668
3	2121	668
4	4245	668
5	5569	632
6	5799	632
7	6070	596
8	6373	596
9	6793	596
10	7460	596

Stop Event

1×	node limit

Counts

85 → 56

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)))
1
(+.f64 (.f64 -1/9 (.f64 (pow.f64 t 2) (pow.f64 z 2))) 1)
(+.f64 (.f64 -1/9 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (+.f64 1 (.f64 (+.f64 (.f64 1/972 (pow.f64 t 4)) (*.f64 1/324 (pow.f64 t 4))) (pow.f64 z 4))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (+.f64 (.f64 (+.f64 (.f64 -1/17496 (pow.f64 t 6)) (.f64 -1/262440 (pow.f64 t 6))) (pow.f64 z 6)) (+.f64 1 (.f64 (+.f64 (.f64 1/972 (pow.f64 t 4)) (.f64 1/324 (pow.f64 t 4))) (pow.f64 z 4)))))
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 2)
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 2)
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 2)
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 2)
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 2)
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 2)
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 2)
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 2)
1
(+.f64 (.f64 -1/9 (.f64 (pow.f64 t 2) (pow.f64 z 2))) 1)
(+.f64 (.f64 -1/9 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (+.f64 1 (.f64 (+.f64 (.f64 1/324 (pow.f64 z 4)) (*.f64 1/972 (pow.f64 z 4))) (pow.f64 t 4))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (+.f64 1 (+.f64 (.f64 (+.f64 (.f64 -1/262440 (pow.f64 z 6)) (.f64 -1/17496 (pow.f64 z 6))) (pow.f64 t 6)) (.f64 (+.f64 (.f64 1/324 (pow.f64 z 4)) (.f64 1/972 (pow.f64 z 4))) (pow.f64 t 4)))))
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 2)
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 2)
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 2)
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 2)
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 2)
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 2)
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 2)
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 2)

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 -1/18 (.f64 t (.f64 z (*.f64 t 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 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (fma.f64 -1/18 (.f64 (.f64 t t) (*.f64 z z)) 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)) 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)) 1))
(fma.f64 (pow.f64 z 4) (.f64 1/1944 (pow.f64 t 4)) (fma.f64 -1/18 (.f64 t (.f64 z (.f64 t z))) 1))
(fma.f64 -1/18 (.f64 t (.f64 z (.f64 t 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 (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (.f64 z (.f64 -1/18 (.f64 (.f64 t t) z)))) (fma.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6)) 1))
(+.f64 1 (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (fma.f64 (pow.f64 t 6) (.f64 -1/524880 (pow.f64 z 6)) (.f64 -1/18 (.f64 t (.f64 t (.f64 z z)))))))
(+.f64 1 (fma.f64 -1/18 (.f64 t (.f64 z (.f64 t z))) (fma.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6)) (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))))))
(+.f64 (fma.f64 1/1944 (pow.f64 (.f64 t z) 4) (.f64 -1/18 (.f64 t (.f64 z (.f64 t z))))) (fma.f64 -1/524880 (pow.f64 (.f64 t z) 6) 1))
(+.f64 (fma.f64 1/1944 (pow.f64 (.f64 t z) 4) (.f64 -1/18 (pow.f64 (.f64 t z) 2))) (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 -1/18 (.f64 t (.f64 z (*.f64 t 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 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (fma.f64 -1/18 (.f64 (.f64 t t) (*.f64 z z)) 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)) 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)) 1))
(fma.f64 (pow.f64 z 4) (.f64 1/1944 (pow.f64 t 4)) (fma.f64 -1/18 (.f64 t (.f64 z (.f64 t z))) 1))
(fma.f64 -1/18 (.f64 t (.f64 z (.f64 t 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 (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (.f64 z (.f64 -1/18 (.f64 (.f64 t t) z)))) (fma.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6)) 1))
(+.f64 1 (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (fma.f64 (pow.f64 t 6) (.f64 -1/524880 (pow.f64 z 6)) (.f64 -1/18 (.f64 t (.f64 t (.f64 z z)))))))
(+.f64 1 (fma.f64 -1/18 (.f64 t (.f64 z (.f64 t z))) (fma.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6)) (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))))))
(+.f64 (fma.f64 1/1944 (pow.f64 (.f64 t z) 4) (.f64 -1/18 (.f64 t (.f64 z (.f64 t z))))) (fma.f64 -1/524880 (pow.f64 (.f64 t z) 6) 1))
(+.f64 (fma.f64 1/1944 (pow.f64 (.f64 t z) 4) (.f64 -1/18 (pow.f64 (.f64 t z) 2))) (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 (.f64 -1/9 (.f64 (pow.f64 t 2) (pow.f64 z 2))) 1)
(fma.f64 -1/9 (.f64 (.f64 t t) (*.f64 z z)) 1)
(fma.f64 (.f64 (.f64 t t) (*.f64 z z)) -1/9 1)
(fma.f64 (.f64 t t) (.f64 z (*.f64 z -1/9)) 1)
(fma.f64 (.f64 t (.f64 z (*.f64 t z))) -1/9 1)
(fma.f64 (pow.f64 (*.f64 t z) 2) -1/9 1)
(+.f64 (.f64 -1/9 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (+.f64 1 (.f64 (+.f64 (.f64 1/972 (pow.f64 t 4)) (*.f64 1/324 (pow.f64 t 4))) (pow.f64 z 4))))
(+.f64 (fma.f64 -1/9 (.f64 (.f64 t t) (.f64 z z)) 1) (.f64 (pow.f64 z 4) (*.f64 (pow.f64 t 4) 1/243)))
(fma.f64 (.f64 (.f64 t t) (.f64 z z)) -1/9 (fma.f64 (pow.f64 t 4) (.f64 (pow.f64 z 4) 1/243) 1))
(fma.f64 (pow.f64 t 4) (.f64 (pow.f64 z 4) 1/243) (fma.f64 (.f64 t t) (.f64 z (.f64 z -1/9)) 1))
(fma.f64 (.f64 t t) (.f64 z (.f64 z -1/9)) (fma.f64 (pow.f64 z 4) (.f64 (pow.f64 t 4) 1/243) 1))
(fma.f64 (.f64 t t) (.f64 z (.f64 z -1/9)) (fma.f64 (pow.f64 t 4) (.f64 (pow.f64 z 4) 1/243) 1))
(fma.f64 (.f64 t t) (.f64 z (.f64 z -1/9)) (fma.f64 (pow.f64 (.f64 t z) 4) 1/243 1))
(fma.f64 (pow.f64 (.f64 t z) 2) -1/9 (fma.f64 (pow.f64 (.f64 t z) 4) 1/243 1))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (+.f64 (.f64 (+.f64 (.f64 -1/17496 (pow.f64 t 6)) (.f64 -1/262440 (pow.f64 t 6))) (pow.f64 z 6)) (+.f64 1 (.f64 (+.f64 (.f64 1/972 (pow.f64 t 4)) (.f64 1/324 (pow.f64 t 4))) (pow.f64 z 4)))))
(fma.f64 -1/9 (.f64 (.f64 t t) (.f64 z z)) (fma.f64 (.f64 (pow.f64 t 6) -2/32805) (pow.f64 z 6) (+.f64 1 (.f64 (pow.f64 z 4) (.f64 (pow.f64 t 4) 1/243)))))
(fma.f64 (.f64 (.f64 t t) (.f64 z z)) -1/9 (fma.f64 (pow.f64 z 6) (.f64 (pow.f64 t 6) -2/32805) (fma.f64 (pow.f64 t 4) (*.f64 (pow.f64 z 4) 1/243) 1)))
(fma.f64 (pow.f64 t 6) (.f64 (pow.f64 z 6) -2/32805) (fma.f64 (pow.f64 t 4) (.f64 (pow.f64 z 4) 1/243) (fma.f64 (.f64 t t) (.f64 z (*.f64 z -1/9)) 1)))
(fma.f64 (.f64 t t) (.f64 z (.f64 z -1/9)) (fma.f64 (pow.f64 t 4) (.f64 (pow.f64 z 4) 1/243) (fma.f64 (pow.f64 t 6) (*.f64 (pow.f64 z 6) -2/32805) 1)))
(fma.f64 (.f64 t t) (.f64 z (.f64 z -1/9)) (fma.f64 (pow.f64 t 6) (.f64 (pow.f64 z 6) -2/32805) (fma.f64 (pow.f64 t 4) (*.f64 (pow.f64 z 4) 1/243) 1)))
(fma.f64 (.f64 t t) (.f64 z (.f64 z -1/9)) (fma.f64 (pow.f64 (.f64 t z) 4) 1/243 (fma.f64 (pow.f64 (*.f64 t z) 6) -2/32805 1)))
(fma.f64 (pow.f64 (.f64 t z) 2) -1/9 (fma.f64 (pow.f64 (.f64 t z) 4) 1/243 (fma.f64 (pow.f64 (*.f64 t z) 6) -2/32805 1)))
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 2)
(pow.f64 (cos.f64 (.f64 t (.f64 z 1/3))) 2)
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 2)
(pow.f64 (cos.f64 (.f64 t (.f64 z 1/3))) 2)
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 2)
(pow.f64 (cos.f64 (.f64 t (.f64 z 1/3))) 2)
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 2)
(pow.f64 (cos.f64 (.f64 t (.f64 z 1/3))) 2)
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 2)
(pow.f64 (cos.f64 (.f64 t (.f64 z 1/3))) 2)
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 2)
(pow.f64 (cos.f64 (.f64 t (.f64 z 1/3))) 2)
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 2)
(pow.f64 (cos.f64 (.f64 t (.f64 z 1/3))) 2)
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 2)
(pow.f64 (cos.f64 (.f64 t (.f64 z 1/3))) 2)
1
(+.f64 (.f64 -1/9 (.f64 (pow.f64 t 2) (pow.f64 z 2))) 1)
(fma.f64 -1/9 (.f64 (.f64 t t) (*.f64 z z)) 1)
(fma.f64 (.f64 (.f64 t t) (*.f64 z z)) -1/9 1)
(fma.f64 (.f64 t t) (.f64 z (*.f64 z -1/9)) 1)
(fma.f64 (.f64 t (.f64 z (*.f64 t z))) -1/9 1)
(fma.f64 (pow.f64 (*.f64 t z) 2) -1/9 1)
(+.f64 (.f64 -1/9 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (+.f64 1 (.f64 (+.f64 (.f64 1/324 (pow.f64 z 4)) (*.f64 1/972 (pow.f64 z 4))) (pow.f64 t 4))))
(+.f64 (fma.f64 -1/9 (.f64 (.f64 t t) (.f64 z z)) 1) (.f64 (pow.f64 z 4) (*.f64 (pow.f64 t 4) 1/243)))
(fma.f64 (.f64 (.f64 t t) (.f64 z z)) -1/9 (fma.f64 (pow.f64 t 4) (.f64 (pow.f64 z 4) 1/243) 1))
(fma.f64 (pow.f64 t 4) (.f64 (pow.f64 z 4) 1/243) (fma.f64 (.f64 t t) (.f64 z (.f64 z -1/9)) 1))
(fma.f64 (.f64 t t) (.f64 z (.f64 z -1/9)) (fma.f64 (pow.f64 z 4) (.f64 (pow.f64 t 4) 1/243) 1))
(fma.f64 (.f64 t t) (.f64 z (.f64 z -1/9)) (fma.f64 (pow.f64 t 4) (.f64 (pow.f64 z 4) 1/243) 1))
(fma.f64 (.f64 t t) (.f64 z (.f64 z -1/9)) (fma.f64 (pow.f64 (.f64 t z) 4) 1/243 1))
(fma.f64 (pow.f64 (.f64 t z) 2) -1/9 (fma.f64 (pow.f64 (.f64 t z) 4) 1/243 1))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (+.f64 1 (+.f64 (.f64 (+.f64 (.f64 -1/262440 (pow.f64 z 6)) (.f64 -1/17496 (pow.f64 z 6))) (pow.f64 t 6)) (.f64 (+.f64 (.f64 1/324 (pow.f64 z 4)) (.f64 1/972 (pow.f64 z 4))) (pow.f64 t 4)))))
(fma.f64 -1/9 (.f64 (.f64 t t) (.f64 z z)) (fma.f64 (.f64 (pow.f64 t 6) -2/32805) (pow.f64 z 6) (+.f64 1 (.f64 (pow.f64 z 4) (.f64 (pow.f64 t 4) 1/243)))))
(fma.f64 (.f64 (.f64 t t) (.f64 z z)) -1/9 (fma.f64 (pow.f64 z 6) (.f64 (pow.f64 t 6) -2/32805) (fma.f64 (pow.f64 t 4) (*.f64 (pow.f64 z 4) 1/243) 1)))
(fma.f64 (pow.f64 t 6) (.f64 (pow.f64 z 6) -2/32805) (fma.f64 (pow.f64 t 4) (.f64 (pow.f64 z 4) 1/243) (fma.f64 (.f64 t t) (.f64 z (*.f64 z -1/9)) 1)))
(fma.f64 (.f64 t t) (.f64 z (.f64 z -1/9)) (fma.f64 (pow.f64 t 4) (.f64 (pow.f64 z 4) 1/243) (fma.f64 (pow.f64 t 6) (*.f64 (pow.f64 z 6) -2/32805) 1)))
(fma.f64 (.f64 t t) (.f64 z (.f64 z -1/9)) (fma.f64 (pow.f64 t 6) (.f64 (pow.f64 z 6) -2/32805) (fma.f64 (pow.f64 t 4) (*.f64 (pow.f64 z 4) 1/243) 1)))
(fma.f64 (.f64 t t) (.f64 z (.f64 z -1/9)) (fma.f64 (pow.f64 (.f64 t z) 4) 1/243 (fma.f64 (pow.f64 (*.f64 t z) 6) -2/32805 1)))
(fma.f64 (pow.f64 (.f64 t z) 2) -1/9 (fma.f64 (pow.f64 (.f64 t z) 4) 1/243 (fma.f64 (pow.f64 (*.f64 t z) 6) -2/32805 1)))
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 2)
(pow.f64 (cos.f64 (.f64 t (.f64 z 1/3))) 2)
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 2)
(pow.f64 (cos.f64 (.f64 t (.f64 z 1/3))) 2)
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 2)
(pow.f64 (cos.f64 (.f64 t (.f64 z 1/3))) 2)
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 2)
(pow.f64 (cos.f64 (.f64 t (.f64 z 1/3))) 2)
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 2)
(pow.f64 (cos.f64 (.f64 t (.f64 z 1/3))) 2)
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 2)
(pow.f64 (cos.f64 (.f64 t (.f64 z 1/3))) 2)
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 2)
(pow.f64 (cos.f64 (.f64 t (.f64 z 1/3))) 2)
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 2)
(pow.f64 (cos.f64 (.f64 t (.f64 z 1/3))) 2)

localize24.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(/.f64 a (*.f64 b 3))
	0.2b	(.f64 z (cbrt.f64 (.f64 1/9 (*.f64 t t))))
	0.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (.f64 z (cbrt.f64 (.f64 1/9 (.f64 t t)))) (cbrt.f64 (.f64 t 1/3)))))) (/.f64 a (.f64 b 3)))
	0.0b	(-.f64 y (.f64 (.f64 z (cbrt.f64 (.f64 1/9 (.f64 t t)))) (cbrt.f64 (*.f64 t 1/3))))
	0.3b	(*.f64 t 1/3)
✓	0.5b	(cbrt.f64 (*.f64 t 1/3))
✓	24.3b	(cos.f64 (-.f64 y (.f64 (.f64 z (cbrt.f64 (.f64 1/9 (.f64 t t)))) (cbrt.f64 (*.f64 t 1/3)))))
✓	27.5b	(cbrt.f64 (.f64 1/9 (.f64 t t)))

series16.0ms (0.1%)

Counts

3 → 36

Calls

15 calls:

Time	Variable		Point	Expression
6.0ms	t	@	0	(cbrt.f64 (.f64 1/9 (.f64 t t)))
1.0ms	z	@	0	(cos.f64 (-.f64 y (.f64 (.f64 z (cbrt.f64 (.f64 1/9 (.f64 t t)))) (cbrt.f64 (*.f64 t 1/3)))))
1.0ms	y	@	0	(cos.f64 (-.f64 y (.f64 (.f64 z (cbrt.f64 (.f64 1/9 (.f64 t t)))) (cbrt.f64 (*.f64 t 1/3)))))
1.0ms	t	@	0	(cos.f64 (-.f64 y (.f64 (.f64 z (cbrt.f64 (.f64 1/9 (.f64 t t)))) (cbrt.f64 (*.f64 t 1/3)))))
1.0ms	t	@	inf	(cbrt.f64 (.f64 1/9 (.f64 t t)))

rewrite80.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

857×	`prod-diff_binary64`
770×	`log-prod_binary64`
301×	`fma-def_binary64`
264×	`expm1-udef_binary64`
264×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	40
1	318	27
2	4068	27

Stop Event

1×	node limit

Counts

3 → 114

Calls

Call 1

Inputs
(cbrt.f64 (.f64 1/9 (.f64 t t)))
(cos.f64 (-.f64 y (.f64 (.f64 z (cbrt.f64 (.f64 1/9 (.f64 t t)))) (cbrt.f64 (*.f64 t 1/3)))))
(cbrt.f64 (*.f64 t 1/3))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (*.f64 t 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 t 1/3)))) (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 t 1/3)))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 t 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 t 1/3))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 t 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 t 1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 t 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 t 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 t 1/3))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 t 1/3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 t 1/3)) 2)) (cbrt.f64 (cbrt.f64 (*.f64 t 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 t) (cbrt.f64 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/3) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 t 1/3) 1/6) (pow.f64 (*.f64 t 1/3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 1/9)) (sqrt.f64 (pow.f64 (cbrt.f64 t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/81 (pow.f64 t 4))))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 t 1/3)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 t 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 t 1/3)) 1/3) (pow.f64 (sqrt.f64 (*.f64 t 1/3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/9 (*.f64 t t)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 t 1/3)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t 1/3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 t 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 t 1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 t 1/3) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 t 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (*.f64 t 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 t 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 t 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 t 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 t 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (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))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 t 1/3))))))))

simplify70.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

831×	`unsub-neg_binary64`
664×	`associate-l_binary64`
632×	`associate-r_binary64`
399×	`neg-sub0_binary64`
396×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	75	1075
1	227	952
2	726	912
3	3581	900
4	6914	900

Stop Event

1×	node limit

Counts

150 → 134

Calls

Call 1

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

Outputs
(cos.f64 (neg.f64 (.f64 (cbrt.f64 1/9) (.f64 t (*.f64 z (cbrt.f64 1/3))))))
(cos.f64 (.f64 (cbrt.f64 1/9) (.f64 (*.f64 t z) (cbrt.f64 1/3))))
(cos.f64 (.f64 (cbrt.f64 1/9) (.f64 t (*.f64 z (cbrt.f64 1/3)))))
(cos.f64 (.f64 (cbrt.f64 1/9) (.f64 (cbrt.f64 1/3) (*.f64 t z))))
(+.f64 (.f64 -1 (.f64 y (sin.f64 (neg.f64 (.f64 (cbrt.f64 1/9) (.f64 t (.f64 z (cbrt.f64 1/3)))))))) (cos.f64 (neg.f64 (.f64 (cbrt.f64 1/9) (.f64 t (.f64 z (cbrt.f64 1/3)))))))
(fma.f64 -1 (.f64 y (sin.f64 (.f64 (neg.f64 (cbrt.f64 1/9)) (.f64 (.f64 t z) (cbrt.f64 1/3))))) (cos.f64 (.f64 (cbrt.f64 1/9) (.f64 (*.f64 t z) (cbrt.f64 1/3)))))
(-.f64 (cos.f64 (.f64 (cbrt.f64 1/9) (.f64 t (.f64 z (cbrt.f64 1/3))))) (.f64 y (sin.f64 (.f64 (cbrt.f64 1/9) (.f64 t (neg.f64 (*.f64 z (cbrt.f64 1/3))))))))
(fma.f64 y (sin.f64 (.f64 (cbrt.f64 1/9) (.f64 t (.f64 z (cbrt.f64 1/3))))) (cos.f64 (.f64 (cbrt.f64 1/9) (.f64 t (.f64 z (cbrt.f64 1/3))))))
(fma.f64 y (sin.f64 (.f64 (cbrt.f64 1/9) (.f64 (cbrt.f64 1/3) (.f64 t z)))) (cos.f64 (.f64 (cbrt.f64 1/9) (.f64 (cbrt.f64 1/3) (.f64 t z)))))
(+.f64 (.f64 -1 (.f64 y (sin.f64 (neg.f64 (.f64 (cbrt.f64 1/9) (.f64 t (.f64 z (cbrt.f64 1/3)))))))) (+.f64 (cos.f64 (neg.f64 (.f64 (cbrt.f64 1/9) (.f64 t (.f64 z (cbrt.f64 1/3)))))) (.f64 -1/2 (.f64 (pow.f64 y 2) (cos.f64 (neg.f64 (.f64 (cbrt.f64 1/9) (.f64 t (*.f64 z (cbrt.f64 1/3))))))))))
(+.f64 (fma.f64 -1 (.f64 y (sin.f64 (.f64 (neg.f64 (cbrt.f64 1/9)) (.f64 (.f64 t z) (cbrt.f64 1/3))))) (cos.f64 (.f64 (cbrt.f64 1/9) (.f64 (.f64 t z) (cbrt.f64 1/3))))) (.f64 (.f64 -1/2 (.f64 y y)) (cos.f64 (.f64 (cbrt.f64 1/9) (.f64 (*.f64 t z) (cbrt.f64 1/3))))))
(-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 y y)) 1) (cos.f64 (.f64 (cbrt.f64 1/9) (.f64 t (.f64 z (cbrt.f64 1/3)))))) (.f64 y (sin.f64 (.f64 (cbrt.f64 1/9) (.f64 t (neg.f64 (.f64 z (cbrt.f64 1/3))))))))
(fma.f64 (fma.f64 -1/2 (.f64 y y) 1) (cos.f64 (.f64 (cbrt.f64 1/9) (.f64 t (.f64 z (cbrt.f64 1/3))))) (.f64 y (sin.f64 (.f64 (cbrt.f64 1/9) (.f64 t (.f64 z (cbrt.f64 1/3)))))))
(fma.f64 (cos.f64 (.f64 (cbrt.f64 1/9) (.f64 (cbrt.f64 1/3) (.f64 t z)))) (fma.f64 -1/2 (.f64 y y) 1) (.f64 y (sin.f64 (.f64 (cbrt.f64 1/9) (.f64 (cbrt.f64 1/3) (.f64 t z))))))
(+.f64 (.f64 -1 (.f64 y (sin.f64 (neg.f64 (.f64 (cbrt.f64 1/9) (.f64 t (.f64 z (cbrt.f64 1/3)))))))) (+.f64 (cos.f64 (neg.f64 (.f64 (cbrt.f64 1/9) (.f64 t (.f64 z (cbrt.f64 1/3)))))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (cos.f64 (neg.f64 (.f64 (cbrt.f64 1/9) (.f64 t (.f64 z (cbrt.f64 1/3)))))))) (.f64 1/6 (.f64 (pow.f64 y 3) (sin.f64 (neg.f64 (.f64 (cbrt.f64 1/9) (.f64 t (.f64 z (cbrt.f64 1/3)))))))))))
(+.f64 (fma.f64 -1 (.f64 y (sin.f64 (.f64 (neg.f64 (cbrt.f64 1/9)) (.f64 (.f64 t z) (cbrt.f64 1/3))))) (cos.f64 (.f64 (cbrt.f64 1/9) (.f64 (.f64 t z) (cbrt.f64 1/3))))) (fma.f64 -1/2 (.f64 (cos.f64 (.f64 (cbrt.f64 1/9) (.f64 (.f64 t z) (cbrt.f64 1/3)))) (.f64 y y)) (.f64 1/6 (.f64 (sin.f64 (.f64 (neg.f64 (cbrt.f64 1/9)) (.f64 (*.f64 t z) (cbrt.f64 1/3)))) (pow.f64 y 3)))))
(+.f64 (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 y y)) 1) (cos.f64 (.f64 (cbrt.f64 1/9) (.f64 t (.f64 z (cbrt.f64 1/3)))))) (.f64 y (sin.f64 (.f64 (cbrt.f64 1/9) (.f64 t (neg.f64 (.f64 z (cbrt.f64 1/3)))))))) (.f64 (sin.f64 (.f64 (cbrt.f64 1/9) (.f64 t (neg.f64 (.f64 z (cbrt.f64 1/3)))))) (*.f64 1/6 (pow.f64 y 3))))
(fma.f64 (fma.f64 -1/2 (.f64 y y) 1) (cos.f64 (.f64 (cbrt.f64 1/9) (.f64 t (.f64 z (cbrt.f64 1/3))))) (.f64 (sin.f64 (.f64 t (.f64 (.f64 (neg.f64 (cbrt.f64 1/9)) (cbrt.f64 1/3)) z))) (+.f64 (*.f64 1/6 (pow.f64 y 3)) (neg.f64 y))))
(fma.f64 (cos.f64 (.f64 (cbrt.f64 1/9) (.f64 (cbrt.f64 1/3) (.f64 t z)))) (fma.f64 -1/2 (.f64 y y) 1) (.f64 (sin.f64 (.f64 (cbrt.f64 1/9) (.f64 (cbrt.f64 1/3) (.f64 t z)))) (+.f64 (*.f64 (pow.f64 y 3) -1/6) y)))
(cos.f64 (-.f64 y (.f64 (.f64 (cbrt.f64 1/9) (.f64 t (.f64 z (cbrt.f64 1/3)))) (pow.f64 1 1/3))))
(cos.f64 (-.f64 y (.f64 (cbrt.f64 1/9) (.f64 (.f64 (.f64 t z) (cbrt.f64 1/3)) 1))))
(cos.f64 (fma.f64 (cbrt.f64 1/9) (.f64 t (.f64 z (cbrt.f64 1/3))) (neg.f64 y)))
(cos.f64 (fma.f64 (cbrt.f64 1/9) (.f64 (cbrt.f64 1/3) (.f64 t z)) (neg.f64 y)))
(cos.f64 (-.f64 y (.f64 (.f64 (cbrt.f64 1/9) (.f64 t (.f64 z (cbrt.f64 1/3)))) (pow.f64 1 1/3))))
(cos.f64 (-.f64 y (.f64 (cbrt.f64 1/9) (.f64 (.f64 (.f64 t z) (cbrt.f64 1/3)) 1))))
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(cos.f64 (+.f64 y (.f64 (cbrt.f64 1/9) (.f64 t (*.f64 z (cbrt.f64 -1/3))))))
(cos.f64 (fma.f64 (cbrt.f64 1/9) (.f64 t (.f64 z (cbrt.f64 -1/3))) y))
(cos.f64 (fma.f64 (cbrt.f64 1/9) (.f64 z (.f64 t (cbrt.f64 -1/3))) y))
(cos.f64 (-.f64 y (.f64 -1 (.f64 (.f64 (cbrt.f64 1/9) (.f64 t (*.f64 z (cbrt.f64 -1/3)))) (pow.f64 1 1/3)))))
(cos.f64 (-.f64 y (neg.f64 (.f64 (cbrt.f64 1/9) (.f64 (.f64 (.f64 t z) (cbrt.f64 -1/3)) 1)))))
(cos.f64 (+.f64 y (.f64 (cbrt.f64 1/9) (.f64 t (*.f64 z (cbrt.f64 -1/3))))))
(cos.f64 (fma.f64 (cbrt.f64 1/9) (.f64 t (.f64 z (cbrt.f64 -1/3))) y))
(cos.f64 (fma.f64 (cbrt.f64 1/9) (.f64 z (.f64 t (cbrt.f64 -1/3))) y))
(cos.f64 (-.f64 y (.f64 -1 (.f64 (.f64 (cbrt.f64 1/9) (.f64 t (*.f64 z (cbrt.f64 -1/3)))) (pow.f64 1 1/3)))))
(cos.f64 (-.f64 y (neg.f64 (.f64 (cbrt.f64 1/9) (.f64 (.f64 (.f64 t z) (cbrt.f64 -1/3)) 1)))))
(cos.f64 (+.f64 y (.f64 (cbrt.f64 1/9) (.f64 t (*.f64 z (cbrt.f64 -1/3))))))
(cos.f64 (fma.f64 (cbrt.f64 1/9) (.f64 t (.f64 z (cbrt.f64 -1/3))) y))
(cos.f64 (fma.f64 (cbrt.f64 1/9) (.f64 z (.f64 t (cbrt.f64 -1/3))) y))

localize23.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(.f64 z (.f64 t 1/3))
	0.1b	(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)))))
	0.1b	(.f64 (cos.f64 y) (cos.f64 (.f64 z (*.f64 t 1/3))))
	0.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 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)))))) (/.f64 a (.f64 b 3)))
✓	0.3b	(.f64 (.f64 2 (sqrt.f64 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))))))
	0.3b	(*.f64 t 1/3)
	29.2b	(cos.f64 (.f64 z (.f64 t 1/3)))
✓	29.3b	(sin.f64 (.f64 z (.f64 t 1/3)))

series23.0ms (0.1%)

Counts

2 → 60

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	y	@	inf	(.f64 (.f64 2 (sqrt.f64 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))))))
2.0ms	x	@	-inf	(.f64 (.f64 2 (sqrt.f64 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))))))
2.0ms	z	@	inf	(.f64 (.f64 2 (sqrt.f64 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))))))
2.0ms	t	@	inf	(.f64 (.f64 2 (sqrt.f64 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))))))
2.0ms	z	@	-inf	(.f64 (.f64 2 (sqrt.f64 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))))))

rewrite74.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

900×	`log-prod_binary64`
328×	`expm1-udef_binary64`
328×	`log1p-udef_binary64`
290×	`fma-def_binary64`
280×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	45
1	365	29
2	4455	29

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

Inputs
(sin.f64 (.f64 z (.f64 t 1/3)))
(.f64 (.f64 2 (sqrt.f64 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))))))

Outputs

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

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

simplify80.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

638×	`associate-r_binary64`
621×	`associate-l_binary64`
574×	`distribute-lft-out_binary64`
509×	`cancel-sign-sub-inv_binary64`
495×	`fma-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	87	1744
1	251	1709
2	811	1617
3	3812	1613
4	5546	1609

Stop Event

1×	node limit

Counts

104 → 73

Calls

Call 1

Inputs
(.f64 1/3 (.f64 t z))
(+.f64 (.f64 1/3 (.f64 t z)) (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))))
(+.f64 (.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5))) (+.f64 (.f64 1/3 (.f64 t z)) (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)))))
(+.f64 (.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5))) (+.f64 (.f64 1/3 (.f64 t z)) (+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (.f64 -1/11022480 (.f64 (pow.f64 t 7) (pow.f64 z 7))))))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(.f64 1/3 (.f64 t z))
(+.f64 (.f64 1/3 (.f64 t z)) (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))))
(+.f64 (.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5))) (+.f64 (.f64 1/3 (.f64 t z)) (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)))))
(+.f64 (.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5))) (+.f64 (.f64 1/3 (.f64 t z)) (+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (.f64 -1/11022480 (.f64 (pow.f64 t 7) (pow.f64 z 7))))))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(.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 (+.f64 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y)) (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (.f64 t z))))) (sqrt.f64 x)))
(.f64 2 (.f64 (+.f64 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y)) (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (.f64 t z))))) (sqrt.f64 x)))
(.f64 2 (.f64 (+.f64 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y)) (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (.f64 t z))))) (sqrt.f64 x)))
(.f64 2 (.f64 (+.f64 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y)) (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (.f64 t z))))) (sqrt.f64 x)))
(.f64 2 (.f64 (+.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y))) (sqrt.f64 x)))
(.f64 2 (.f64 (+.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y))) (sqrt.f64 x)))
(.f64 2 (.f64 (+.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y))) (sqrt.f64 x)))
(.f64 2 (.f64 (+.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 (sin.f64 (.f64 1/3 (.f64 t 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 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 (+.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y))) (sqrt.f64 x)))
(.f64 2 (.f64 (+.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y))) (sqrt.f64 x)))
(.f64 2 (.f64 (+.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y))) (sqrt.f64 x)))
(.f64 2 (.f64 (+.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y))) (sqrt.f64 x)))
(.f64 2 (.f64 (+.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y))) (sqrt.f64 x)))
(.f64 2 (.f64 (+.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y))) (sqrt.f64 x)))
(.f64 2 (.f64 (+.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y))) (sqrt.f64 x)))
(.f64 2 (.f64 (+.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (sqrt.f64 x)))
(+.f64 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) y) (sqrt.f64 x))) (.f64 2 (.f64 (cos.f64 (.f64 1/3 (*.f64 t z))) (sqrt.f64 x))))
(+.f64 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) y) (sqrt.f64 x))) (+.f64 (.f64 -1 (.f64 (.f64 (pow.f64 y 2) (cos.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 (.f64 -1/3 (.f64 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (pow.f64 y 3)) (sqrt.f64 x))) (+.f64 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) y) (sqrt.f64 x))) (+.f64 (.f64 -1 (.f64 (.f64 (pow.f64 y 2) (cos.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 2 (.f64 (+.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y))) (sqrt.f64 x)))
(.f64 2 (.f64 (+.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y))) (sqrt.f64 x)))
(.f64 2 (.f64 (+.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y))) (sqrt.f64 x)))
(.f64 2 (.f64 (+.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y))) (sqrt.f64 x)))
(.f64 2 (.f64 (+.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y))) (sqrt.f64 x)))
(.f64 2 (.f64 (+.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y))) (sqrt.f64 x)))
(.f64 2 (.f64 (+.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y))) (sqrt.f64 x)))
(.f64 2 (.f64 (+.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y))) (sqrt.f64 x)))

Outputs
(.f64 1/3 (.f64 t z))
(.f64 z (.f64 1/3 t))
(+.f64 (.f64 1/3 (.f64 t z)) (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))))
(fma.f64 1/3 (.f64 t z) (.f64 (*.f64 -1/162 (pow.f64 t 3)) (pow.f64 z 3)))
(fma.f64 1/3 (.f64 t z) (.f64 -1/162 (*.f64 (pow.f64 t 3) (pow.f64 z 3))))
(fma.f64 1/3 (.f64 t z) (.f64 (pow.f64 z 3) (*.f64 -1/162 (pow.f64 t 3))))
(+.f64 (.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5))) (+.f64 (.f64 1/3 (.f64 t z)) (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)))))
(fma.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)) (fma.f64 1/3 (.f64 t z) (.f64 (.f64 -1/162 (pow.f64 t 3)) (pow.f64 z 3))))
(fma.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)) (fma.f64 1/3 (.f64 t z) (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)))))
(fma.f64 1/3 (.f64 t z) (fma.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)) (.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)))))
(fma.f64 1/3 (.f64 t z) (fma.f64 (pow.f64 z 3) (.f64 -1/162 (pow.f64 t 3)) (.f64 (pow.f64 z 5) (.f64 1/29160 (pow.f64 t 5)))))
(+.f64 (.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5))) (+.f64 (.f64 1/3 (.f64 t z)) (+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (.f64 -1/11022480 (.f64 (pow.f64 t 7) (pow.f64 z 7))))))
(fma.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)) (fma.f64 1/3 (.f64 t z) (fma.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)) (.f64 (*.f64 -1/11022480 (pow.f64 t 7)) (pow.f64 z 7)))))
(fma.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)) (fma.f64 1/3 (.f64 t z) (fma.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)) (.f64 -1/11022480 (*.f64 (pow.f64 t 7) (pow.f64 z 7))))))
(fma.f64 1/3 (.f64 t z) (fma.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)) (fma.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)) (.f64 -1/11022480 (*.f64 (pow.f64 t 7) (pow.f64 z 7))))))
(fma.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)) (fma.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)) (fma.f64 (pow.f64 t 7) (.f64 -1/11022480 (pow.f64 z 7)) (.f64 z (*.f64 1/3 t)))))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 z (.f64 1/3 t)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 z (.f64 1/3 t)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 z (.f64 1/3 t)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 z (.f64 1/3 t)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 z (.f64 1/3 t)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 z (.f64 1/3 t)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 z (.f64 1/3 t)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 z (.f64 1/3 t)))
(.f64 1/3 (.f64 t z))
(.f64 z (.f64 1/3 t))
(+.f64 (.f64 1/3 (.f64 t z)) (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))))
(fma.f64 1/3 (.f64 t z) (.f64 (*.f64 -1/162 (pow.f64 t 3)) (pow.f64 z 3)))
(fma.f64 1/3 (.f64 t z) (.f64 -1/162 (*.f64 (pow.f64 t 3) (pow.f64 z 3))))
(fma.f64 1/3 (.f64 t z) (.f64 (pow.f64 z 3) (*.f64 -1/162 (pow.f64 t 3))))
(+.f64 (.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5))) (+.f64 (.f64 1/3 (.f64 t z)) (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)))))
(fma.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)) (fma.f64 1/3 (.f64 t z) (.f64 (.f64 -1/162 (pow.f64 t 3)) (pow.f64 z 3))))
(fma.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)) (fma.f64 1/3 (.f64 t z) (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)))))
(fma.f64 1/3 (.f64 t z) (fma.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)) (.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)))))
(fma.f64 1/3 (.f64 t z) (fma.f64 (pow.f64 z 3) (.f64 -1/162 (pow.f64 t 3)) (.f64 (pow.f64 z 5) (.f64 1/29160 (pow.f64 t 5)))))
(+.f64 (.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5))) (+.f64 (.f64 1/3 (.f64 t z)) (+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (.f64 -1/11022480 (.f64 (pow.f64 t 7) (pow.f64 z 7))))))
(fma.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)) (fma.f64 1/3 (.f64 t z) (fma.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)) (.f64 (*.f64 -1/11022480 (pow.f64 t 7)) (pow.f64 z 7)))))
(fma.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)) (fma.f64 1/3 (.f64 t z) (fma.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)) (.f64 -1/11022480 (*.f64 (pow.f64 t 7) (pow.f64 z 7))))))
(fma.f64 1/3 (.f64 t z) (fma.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)) (fma.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)) (.f64 -1/11022480 (*.f64 (pow.f64 t 7) (pow.f64 z 7))))))
(fma.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)) (fma.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)) (fma.f64 (pow.f64 t 7) (.f64 -1/11022480 (pow.f64 z 7)) (.f64 z (*.f64 1/3 t)))))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 z (.f64 1/3 t)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 z (.f64 1/3 t)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 z (.f64 1/3 t)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 z (.f64 1/3 t)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 z (.f64 1/3 t)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 z (.f64 1/3 t)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 z (.f64 1/3 t)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 z (.f64 1/3 t)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 (cos.f64 y) (.f64 2 (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))))
(fma.f64 2/3 (.f64 t (.f64 (.f64 z (sin.f64 y)) (sqrt.f64 x))) (.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 2/3 (.f64 t (.f64 z (sin.f64 y)))) (*.f64 2 (cos.f64 y))))
(.f64 (sqrt.f64 x) (fma.f64 2 (cos.f64 y) (.f64 z (.f64 (.f64 t (sin.f64 y)) 2/3))))
(.f64 (sqrt.f64 x) (fma.f64 2 (cos.f64 y) (.f64 (.f64 t z) (.f64 (sin.f64 y) 2/3))))
(+.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 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 (sqrt.f64 x) (.f64 (.f64 (cos.f64 y) (.f64 z z)) (.f64 t t))))))
(fma.f64 2/3 (.f64 t (.f64 (sqrt.f64 x) (.f64 z (sin.f64 y)))) (.f64 (sqrt.f64 x) (+.f64 (.f64 -1/9 (.f64 (cos.f64 y) (.f64 (.f64 t z) (.f64 t z)))) (.f64 2 (cos.f64 y)))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 z (.f64 (.f64 t (sin.f64 y)) 2/3)) (.f64 (cos.f64 y) (+.f64 (.f64 -1/9 (.f64 t (.f64 t (*.f64 z z)))) 2))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 z (.f64 (.f64 t (sin.f64 y)) 2/3)) (.f64 (cos.f64 y) (+.f64 2 (.f64 -1/9 (.f64 t (.f64 t (*.f64 z z))))))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 t z) (.f64 (sin.f64 y) 2/3)) (.f64 (cos.f64 y) (+.f64 2 (.f64 -1/9 (.f64 t (.f64 t (*.f64 z 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 (pow.f64 z 3) (sin.f64 y)) (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 (sqrt.f64 x) (.f64 (.f64 (cos.f64 y) (.f64 z z)) (*.f64 t t)))))))
(+.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 -1/9 (.f64 (cos.f64 y) (.f64 (.f64 t z) (.f64 t z)))) (.f64 2 (cos.f64 y)))) (.f64 (sqrt.f64 x) (+.f64 (.f64 -1/81 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y)))) (.f64 2/3 (.f64 t (.f64 z (sin.f64 y)))))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 (cos.f64 y) (+.f64 (.f64 -1/9 (.f64 t (.f64 t (.f64 z z)))) 2)) (.f64 (sin.f64 y) (+.f64 (.f64 (.f64 (pow.f64 t 3) (pow.f64 z 3)) -1/81) (.f64 (*.f64 t z) 2/3)))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 (sin.f64 y) (.f64 t (+.f64 (.f64 -1/81 (.f64 (pow.f64 z 3) (.f64 t t))) (.f64 2/3 z)))) (.f64 (cos.f64 y) (+.f64 2 (.f64 -1/9 (.f64 t (.f64 t (.f64 z z))))))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 (sin.f64 y) (.f64 z (+.f64 (.f64 t 2/3) (.f64 -1/81 (.f64 z (.f64 z (pow.f64 t 3))))))) (.f64 (cos.f64 y) (+.f64 2 (.f64 -1/9 (.f64 t (.f64 t (.f64 z z))))))))
(.f64 2 (.f64 (+.f64 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y)) (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (.f64 t z))))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y) (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (*.f64 t z)))))))
(.f64 (sqrt.f64 x) (.f64 2 (fma.f64 (sin.f64 (.f64 z (.f64 1/3 t))) (sin.f64 y) (.f64 (cos.f64 y) (cos.f64 (.f64 z (*.f64 1/3 t)))))))
(.f64 2 (.f64 (+.f64 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y)) (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (.f64 t z))))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y) (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (*.f64 t z)))))))
(.f64 (sqrt.f64 x) (.f64 2 (fma.f64 (sin.f64 (.f64 z (.f64 1/3 t))) (sin.f64 y) (.f64 (cos.f64 y) (cos.f64 (.f64 z (*.f64 1/3 t)))))))
(.f64 2 (.f64 (+.f64 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y)) (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (.f64 t z))))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y) (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (*.f64 t z)))))))
(.f64 (sqrt.f64 x) (.f64 2 (fma.f64 (sin.f64 (.f64 z (.f64 1/3 t))) (sin.f64 y) (.f64 (cos.f64 y) (cos.f64 (.f64 z (*.f64 1/3 t)))))))
(.f64 2 (.f64 (+.f64 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y)) (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (.f64 t z))))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y) (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (*.f64 t z)))))))
(.f64 (sqrt.f64 x) (.f64 2 (fma.f64 (sin.f64 (.f64 z (.f64 1/3 t))) (sin.f64 y) (.f64 (cos.f64 y) (cos.f64 (.f64 z (*.f64 1/3 t)))))))
(.f64 2 (.f64 (+.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y) (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (*.f64 t z)))))))
(.f64 (sqrt.f64 x) (.f64 2 (fma.f64 (sin.f64 (.f64 z (.f64 1/3 t))) (sin.f64 y) (.f64 (cos.f64 y) (cos.f64 (.f64 z (*.f64 1/3 t)))))))
(.f64 2 (.f64 (+.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y) (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (*.f64 t z)))))))
(.f64 (sqrt.f64 x) (.f64 2 (fma.f64 (sin.f64 (.f64 z (.f64 1/3 t))) (sin.f64 y) (.f64 (cos.f64 y) (cos.f64 (.f64 z (*.f64 1/3 t)))))))
(.f64 2 (.f64 (+.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y) (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (*.f64 t z)))))))
(.f64 (sqrt.f64 x) (.f64 2 (fma.f64 (sin.f64 (.f64 z (.f64 1/3 t))) (sin.f64 y) (.f64 (cos.f64 y) (cos.f64 (.f64 z (*.f64 1/3 t)))))))
(.f64 2 (.f64 (+.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y) (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (*.f64 t z)))))))
(.f64 (sqrt.f64 x) (.f64 2 (fma.f64 (sin.f64 (.f64 z (.f64 1/3 t))) (sin.f64 y) (.f64 (cos.f64 y) (cos.f64 (.f64 z (*.f64 1/3 t)))))))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 (cos.f64 y) (.f64 2 (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))))
(fma.f64 2/3 (.f64 t (.f64 (.f64 z (sin.f64 y)) (sqrt.f64 x))) (.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 2/3 (.f64 t (.f64 z (sin.f64 y)))) (*.f64 2 (cos.f64 y))))
(.f64 (sqrt.f64 x) (fma.f64 2 (cos.f64 y) (.f64 z (.f64 (.f64 t (sin.f64 y)) 2/3))))
(.f64 (sqrt.f64 x) (fma.f64 2 (cos.f64 y) (.f64 (.f64 t z) (.f64 (sin.f64 y) 2/3))))
(+.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 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 (sqrt.f64 x) (.f64 (.f64 (cos.f64 y) (.f64 z z)) (.f64 t t))))))
(fma.f64 2/3 (.f64 t (.f64 (sqrt.f64 x) (.f64 z (sin.f64 y)))) (.f64 (sqrt.f64 x) (+.f64 (.f64 -1/9 (.f64 (cos.f64 y) (.f64 (.f64 t z) (.f64 t z)))) (.f64 2 (cos.f64 y)))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 z (.f64 (.f64 t (sin.f64 y)) 2/3)) (.f64 (cos.f64 y) (+.f64 (.f64 -1/9 (.f64 t (.f64 t (*.f64 z z)))) 2))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 z (.f64 (.f64 t (sin.f64 y)) 2/3)) (.f64 (cos.f64 y) (+.f64 2 (.f64 -1/9 (.f64 t (.f64 t (*.f64 z z))))))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 t z) (.f64 (sin.f64 y) 2/3)) (.f64 (cos.f64 y) (+.f64 2 (.f64 -1/9 (.f64 t (.f64 t (*.f64 z 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 (pow.f64 z 3) (sin.f64 y)) (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 (sqrt.f64 x) (.f64 (.f64 (cos.f64 y) (.f64 z z)) (*.f64 t t)))))))
(+.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 -1/9 (.f64 (cos.f64 y) (.f64 (.f64 t z) (.f64 t z)))) (.f64 2 (cos.f64 y)))) (.f64 (sqrt.f64 x) (+.f64 (.f64 -1/81 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y)))) (.f64 2/3 (.f64 t (.f64 z (sin.f64 y)))))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 (cos.f64 y) (+.f64 (.f64 -1/9 (.f64 t (.f64 t (.f64 z z)))) 2)) (.f64 (sin.f64 y) (+.f64 (.f64 (.f64 (pow.f64 t 3) (pow.f64 z 3)) -1/81) (.f64 (*.f64 t z) 2/3)))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 (sin.f64 y) (.f64 t (+.f64 (.f64 -1/81 (.f64 (pow.f64 z 3) (.f64 t t))) (.f64 2/3 z)))) (.f64 (cos.f64 y) (+.f64 2 (.f64 -1/9 (.f64 t (.f64 t (.f64 z z))))))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 (sin.f64 y) (.f64 z (+.f64 (.f64 t 2/3) (.f64 -1/81 (.f64 z (.f64 z (pow.f64 t 3))))))) (.f64 (cos.f64 y) (+.f64 2 (.f64 -1/9 (.f64 t (.f64 t (.f64 z z))))))))
(.f64 2 (.f64 (+.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y) (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (*.f64 t z)))))))
(.f64 (sqrt.f64 x) (.f64 2 (fma.f64 (sin.f64 (.f64 z (.f64 1/3 t))) (sin.f64 y) (.f64 (cos.f64 y) (cos.f64 (.f64 z (*.f64 1/3 t)))))))
(.f64 2 (.f64 (+.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y) (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (*.f64 t z)))))))
(.f64 (sqrt.f64 x) (.f64 2 (fma.f64 (sin.f64 (.f64 z (.f64 1/3 t))) (sin.f64 y) (.f64 (cos.f64 y) (cos.f64 (.f64 z (*.f64 1/3 t)))))))
(.f64 2 (.f64 (+.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y) (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (*.f64 t z)))))))
(.f64 (sqrt.f64 x) (.f64 2 (fma.f64 (sin.f64 (.f64 z (.f64 1/3 t))) (sin.f64 y) (.f64 (cos.f64 y) (cos.f64 (.f64 z (*.f64 1/3 t)))))))
(.f64 2 (.f64 (+.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y) (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (*.f64 t z)))))))
(.f64 (sqrt.f64 x) (.f64 2 (fma.f64 (sin.f64 (.f64 z (.f64 1/3 t))) (sin.f64 y) (.f64 (cos.f64 y) (cos.f64 (.f64 z (*.f64 1/3 t)))))))
(.f64 2 (.f64 (+.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y) (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (*.f64 t z)))))))
(.f64 (sqrt.f64 x) (.f64 2 (fma.f64 (sin.f64 (.f64 z (.f64 1/3 t))) (sin.f64 y) (.f64 (cos.f64 y) (cos.f64 (.f64 z (*.f64 1/3 t)))))))
(.f64 2 (.f64 (+.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y) (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (*.f64 t z)))))))
(.f64 (sqrt.f64 x) (.f64 2 (fma.f64 (sin.f64 (.f64 z (.f64 1/3 t))) (sin.f64 y) (.f64 (cos.f64 y) (cos.f64 (.f64 z (*.f64 1/3 t)))))))
(.f64 2 (.f64 (+.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y) (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (*.f64 t z)))))))
(.f64 (sqrt.f64 x) (.f64 2 (fma.f64 (sin.f64 (.f64 z (.f64 1/3 t))) (sin.f64 y) (.f64 (cos.f64 y) (cos.f64 (.f64 z (*.f64 1/3 t)))))))
(.f64 2 (.f64 (+.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y) (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (*.f64 t z)))))))
(.f64 (sqrt.f64 x) (.f64 2 (fma.f64 (sin.f64 (.f64 z (.f64 1/3 t))) (sin.f64 y) (.f64 (cos.f64 y) (cos.f64 (.f64 z (*.f64 1/3 t)))))))
(.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (.f64 1/3 (.f64 t z)))))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (.f64 z (.f64 1/3 t)))))
(+.f64 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) y) (sqrt.f64 x))) (.f64 2 (.f64 (cos.f64 (.f64 1/3 (*.f64 t z))) (sqrt.f64 x))))
(.f64 2 (+.f64 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (.f64 y (sqrt.f64 x))) (.f64 (sqrt.f64 x) (cos.f64 (.f64 1/3 (.f64 t z))))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) y) (cos.f64 (.f64 1/3 (*.f64 t z))))))
(.f64 (sqrt.f64 x) (.f64 2 (fma.f64 (sin.f64 (.f64 1/3 (.f64 t z))) y (cos.f64 (.f64 1/3 (.f64 t z))))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 (sin.f64 (.f64 z (.f64 1/3 t))) y (cos.f64 (.f64 z (.f64 1/3 t))))))
(+.f64 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) y) (sqrt.f64 x))) (+.f64 (.f64 -1 (.f64 (.f64 (pow.f64 y 2) (cos.f64 (.f64 1/3 (.f64 t z)))) (sqrt.f64 x))) (.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (sqrt.f64 x)))))
(fma.f64 2 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (.f64 y (sqrt.f64 x))) (fma.f64 -1 (.f64 (sqrt.f64 x) (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (.f64 y y))) (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (.f64 1/3 (*.f64 t z)))))))
(+.f64 (.f64 (.f64 y (.f64 y (cos.f64 (.f64 1/3 (.f64 t z))))) (neg.f64 (sqrt.f64 x))) (.f64 2 (.f64 (sqrt.f64 x) (+.f64 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) y) (cos.f64 (.f64 1/3 (.f64 t z)))))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (.f64 2 y)) (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (+.f64 2 (*.f64 y (neg.f64 y))))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (.f64 2 y)) (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (-.f64 2 (*.f64 y y)))))
(.f64 (sqrt.f64 x) (fma.f64 (sin.f64 (.f64 z (.f64 1/3 t))) (.f64 2 y) (.f64 (cos.f64 (.f64 z (.f64 1/3 t))) (-.f64 2 (.f64 y y)))))
(+.f64 (.f64 -1/3 (.f64 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (pow.f64 y 3)) (sqrt.f64 x))) (+.f64 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) y) (sqrt.f64 x))) (+.f64 (.f64 -1 (.f64 (.f64 (pow.f64 y 2) (cos.f64 (.f64 1/3 (.f64 t z)))) (sqrt.f64 x))) (.f64 2 (.f64 (cos.f64 (.f64 1/3 (*.f64 t z))) (sqrt.f64 x))))))
(fma.f64 -1/3 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (.f64 (pow.f64 y 3) (sqrt.f64 x))) (fma.f64 2 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (.f64 y (sqrt.f64 x))) (fma.f64 -1 (.f64 (sqrt.f64 x) (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (.f64 y y))) (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (.f64 1/3 (*.f64 t z))))))))
(+.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 2 (cos.f64 (.f64 1/3 (.f64 t z)))) (neg.f64 (.f64 y (.f64 y (cos.f64 (.f64 1/3 (.f64 t z)))))))) (.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 -1/3 (pow.f64 y 3)) (sin.f64 (.f64 1/3 (.f64 t z)))) (.f64 (.f64 2 (sin.f64 (.f64 1/3 (*.f64 t z)))) y))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (+.f64 2 (.f64 y (neg.f64 y)))) (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 2 y)))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (+.f64 (.f64 2 y) (.f64 -1/3 (pow.f64 y 3)))) (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (-.f64 2 (.f64 y y)))))
(.f64 (sqrt.f64 x) (-.f64 (.f64 (sin.f64 (.f64 z (.f64 1/3 t))) (+.f64 (.f64 2 y) (.f64 -1/3 (pow.f64 y 3)))) (.f64 (cos.f64 (.f64 z (*.f64 1/3 t))) (fma.f64 y y -2))))
(.f64 2 (.f64 (+.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y) (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (*.f64 t z)))))))
(.f64 (sqrt.f64 x) (.f64 2 (fma.f64 (sin.f64 (.f64 z (.f64 1/3 t))) (sin.f64 y) (.f64 (cos.f64 y) (cos.f64 (.f64 z (*.f64 1/3 t)))))))
(.f64 2 (.f64 (+.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y) (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (*.f64 t z)))))))
(.f64 (sqrt.f64 x) (.f64 2 (fma.f64 (sin.f64 (.f64 z (.f64 1/3 t))) (sin.f64 y) (.f64 (cos.f64 y) (cos.f64 (.f64 z (*.f64 1/3 t)))))))
(.f64 2 (.f64 (+.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y) (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (*.f64 t z)))))))
(.f64 (sqrt.f64 x) (.f64 2 (fma.f64 (sin.f64 (.f64 z (.f64 1/3 t))) (sin.f64 y) (.f64 (cos.f64 y) (cos.f64 (.f64 z (*.f64 1/3 t)))))))
(.f64 2 (.f64 (+.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y) (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (*.f64 t z)))))))
(.f64 (sqrt.f64 x) (.f64 2 (fma.f64 (sin.f64 (.f64 z (.f64 1/3 t))) (sin.f64 y) (.f64 (cos.f64 y) (cos.f64 (.f64 z (*.f64 1/3 t)))))))
(.f64 2 (.f64 (+.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y) (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (*.f64 t z)))))))
(.f64 (sqrt.f64 x) (.f64 2 (fma.f64 (sin.f64 (.f64 z (.f64 1/3 t))) (sin.f64 y) (.f64 (cos.f64 y) (cos.f64 (.f64 z (*.f64 1/3 t)))))))
(.f64 2 (.f64 (+.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y) (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (*.f64 t z)))))))
(.f64 (sqrt.f64 x) (.f64 2 (fma.f64 (sin.f64 (.f64 z (.f64 1/3 t))) (sin.f64 y) (.f64 (cos.f64 y) (cos.f64 (.f64 z (*.f64 1/3 t)))))))
(.f64 2 (.f64 (+.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y) (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (*.f64 t z)))))))
(.f64 (sqrt.f64 x) (.f64 2 (fma.f64 (sin.f64 (.f64 z (.f64 1/3 t))) (sin.f64 y) (.f64 (cos.f64 y) (cos.f64 (.f64 z (*.f64 1/3 t)))))))
(.f64 2 (.f64 (+.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (sin.f64 y) (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (*.f64 t z)))))))
(.f64 (sqrt.f64 x) (.f64 2 (fma.f64 (sin.f64 (.f64 z (.f64 1/3 t))) (sin.f64 y) (.f64 (cos.f64 y) (cos.f64 (.f64 z (*.f64 1/3 t)))))))

eval384.0ms (1.8%)

Compiler: Compiled 18444 to 12092 computations (34.4% saved)

prune324.0ms (1.6%)

Pruning

156 alts after pruning (149 fresh and 7 done)

	Pruned	Kept	Total
New	632	56	688
Fresh	25	93	118
Picked	1	0	1
Done	1	7	8
Total	659	156	815

Error

13.0b

Counts

815 → 156

Alt Table

Click to see full alt table

Status	Error	Program
	58.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (.f64 z 1/3) t)))) (sqrt.f64 (log.f64 (.f64 (.f64 z 1/3) t))))))) (/.f64 a (*.f64 b 3)))
	34.4b	(-.f64 (pow.f64 (pow.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) 3) 1/3) (/.f64 a (*.f64 b 3)))
	20.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (.f64 z (.f64 (pow.f64 (cbrt.f64 t) 2) (cbrt.f64 1/9))) (cbrt.f64 (.f64 t 1/3)))))) (/.f64 a (*.f64 b 3)))
✓	26.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (.f64 z (cbrt.f64 (.f64 1/9 (.f64 t t)))) (cbrt.f64 (.f64 t 1/3)))))) (/.f64 a (.f64 b 3)))
	36.4b	(-.f64 (exp.f64 (log.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 (.f64 t (.f64 1/3 z)) y)))))) (/.f64 a (*.f64 b 3)))
	38.6b	(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 (.f64 z (pow.f64 (pow.f64 (.f64 t 1/3) 3) 1/3))) 2))) (/.f64 a (*.f64 b 3)))
	28.2b	(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (.f64 z (.f64 1/3 t))))) (/.f64 a (*.f64 b 3)))
	20.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z 1/3) t))) 2) (pow.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z 1/3) t))) 2)) (cos.f64 (fma.f64 z (.f64 t 1/3) y)))) (/.f64 a (.f64 b 3)))
	21.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))))))) (/.f64 a (*.f64 b 3)))
	20.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 z (/.f64 1 (/.f64 3 t)))))) (/.f64 a (.f64 b 3)))
	17.1b	(-.f64 (.f64 (.f64 (.f64 2 (cos.f64 y)) (pow.f64 x 1/4)) (pow.f64 x 1/4)) (/.f64 a (.f64 b 3)))
	58.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (.f64 z 1/3) t))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (.f64 (.f64 z 1/3) t))))) (sqrt.f64 (cbrt.f64 (log.f64 (.f64 (.f64 z 1/3) t)))))))) (/.f64 a (*.f64 b 3)))
	20.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 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)))))) (/.f64 a (.f64 b 3)))
	27.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 (sin.f64 (.f64 z (.f64 t 1/3))) (sin.f64 y) (.f64 (cos.f64 y) (cos.f64 (.f64 z (pow.f64 (sqrt.f64 (.f64 t 1/3)) 2)))))) (/.f64 a (.f64 b 3)))
	40.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (exp.f64 1) (log.f64 (.f64 (.f64 z 1/3) t)))))) (/.f64 a (*.f64 b 3)))
	28.2b	(-.f64 (.f64 (log1p.f64 (expm1.f64 (cos.f64 (.f64 z (.f64 t 1/3))))) (.f64 2 (sqrt.f64 x))) (/.f64 a (*.f64 b 3)))
✓	17.0b	(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (/.f64 (/.f64 1 b) (/.f64 3 a)))
	37.3b	(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 a (*.f64 b 3)))
	28.2b	(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 (.f64 z (pow.f64 (cbrt.f64 (.f64 t 1/3)) 3))) 2))) (/.f64 a (*.f64 b 3)))
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	62.0b	(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 a (/.f64 1/3 b))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 a (/.f64 1/3 b)))))))
	50.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (exp.f64 1) (log.f64 (.f64 t 1/3))) (pow.f64 (exp.f64 1) (log.f64 z)))))) (/.f64 a (*.f64 b 3)))
	36.1b	(-.f64 (.f64 (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 z (.f64 t 1/3))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 z (.f64 t 1/3))))) (sin.f64 1))) (.f64 2 (sqrt.f64 x))) (/.f64 a (*.f64 b 3)))
	40.0b	(-.f64 (pow.f64 (pow.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 (.f64 t (.f64 1/3 z)) y)))) 3) 1/3) (/.f64 a (*.f64 b 3)))
	28.2b	(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (.f64 z (.f64 t 1/3)))))))) (/.f64 a (*.f64 b 3)))
	28.2b	(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 z (.f64 t 1/3)))) 2) (cbrt.f64 (cos.f64 (.f64 z (.f64 t 1/3))))) 2))) (/.f64 a (.f64 b 3)))
	20.8b	(-.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)))
	44.8b	(-.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (+.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))) (sqrt.f64 (.f64 x 4))))) 1) (/.f64 a (*.f64 b 3)))
	28.8b	(-.f64 (expm1.f64 (log1p.f64 (.f64 2 (-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 y) (sqrt.f64 x)))) 1)))) (/.f64 a (*.f64 b 3)))
	43.1b	(-.f64 (.f64 (cos.f64 (.f64 t (.f64 1/3 z))) (.f64 2 (sqrt.f64 x))) (exp.f64 (log.f64 (*.f64 a (/.f64 1/3 b)))))
	28.3b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 z (.f64 t 1/3))) (.f64 2 (sqrt.f64 x)))) 3) (/.f64 a (*.f64 b 3)))
	54.0b	(-.f64 (.f64 (cos.f64 (.f64 t (exp.f64 (log.f64 (.f64 1/3 z))))) (.f64 2 (sqrt.f64 x))) (/.f64 a (*.f64 b 3)))
	27.9b	(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (/.f64 (.f64 a 1/3) b))) 2) (cbrt.f64 (-.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (/.f64 (.f64 a 1/3) b))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (.f64 a 1/3) b))) (cbrt.f64 (pow.f64 (/.f64 (.f64 a 1/3) b) 2)) (/.f64 (*.f64 a 1/3) b)))
	20.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 (sin.f64 (.f64 z (.f64 t 1/3))) (sin.f64 y) (.f64 (cos.f64 y) (log1p.f64 (expm1.f64 (cos.f64 (.f64 z (.f64 t 1/3)))))))) (/.f64 a (.f64 b 3)))
	20.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 a b) 1/3))
	20.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z 1/3) t))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
	34.8b	(.f64 a (.f64 1/3 (/.f64 1 (neg.f64 b))))
	20.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (/.f64 3 (.f64 z t)) -1)))) (/.f64 a (.f64 b 3)))
	56.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (exp.f64 (-.f64 (log.f64 (.f64 t -1/3)) (log.f64 (/.f64 -1 z))))))) (/.f64 a (.f64 b 3)))
	18.3b	(fma.f64 (.f64 (.f64 2 (cos.f64 y)) (pow.f64 x 1/3)) (cbrt.f64 (sqrt.f64 x)) (*.f64 a (neg.f64 (/.f64 1/3 b))))
	50.9b	(.f64 a (exp.f64 (.f64 (*.f64 3 (log.f64 (/.f64 -1/3 b))) 1/3)))
	17.7b	(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (/.f64 (.f64 a 1/3) b))) 2) (cbrt.f64 (-.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (/.f64 (.f64 a 1/3) b))) (fma.f64 (neg.f64 (.f64 a 1/3)) (/.f64 1 b) (/.f64 (.f64 a 1/3) b)))
	20.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (.f64 (.f64 t 1/3) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (/.f64 a (.f64 b 3)))
	44.9b	(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
	31.2b	(-.f64 (expm1.f64 (log1p.f64 (.f64 2 (exp.f64 (log.f64 (.f64 (cos.f64 y) (sqrt.f64 x))))))) (/.f64 a (*.f64 b 3)))
	20.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3))))) 3)) (/.f64 a (*.f64 b 3)))
	28.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (.f64 z (sqrt.f64 (.f64 t 1/3))) (sqrt.f64 (.f64 t 1/3)))))) (/.f64 a (*.f64 b 3)))
	17.6b	(fma.f64 (.f64 (.f64 2 (cos.f64 y)) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (*.f64 a (neg.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 b)) 3))))
	20.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 (sin.f64 (.f64 z (.f64 t 1/3))) (sin.f64 y) (.f64 (cos.f64 y) (cos.f64 (.f64 z (pow.f64 (cbrt.f64 (.f64 t 1/3)) 3)))))) (/.f64 a (.f64 b 3)))
	21.4b	(-.f64 (sqrt.f64 (.f64 x (.f64 (pow.f64 (cos.f64 y) 2) 4))) (/.f64 a (*.f64 b 3)))
	28.2b	(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (expm1.f64 (log1p.f64 (cos.f64 (.f64 z (.f64 t 1/3))))) 2))) (/.f64 a (*.f64 b 3)))
	28.2b	(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (-.f64 (+.f64 1 (cos.f64 (.f64 z (.f64 t 1/3)))) 1) 2))) (/.f64 a (*.f64 b 3)))
	20.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))))))) (/.f64 a (*.f64 b 3)))
	31.2b	(-.f64 (-.f64 (+.f64 1 (.f64 2 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (sqrt.f64 x)))) 1) (/.f64 a (*.f64 b 3)))
	33.7b	(-.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (sqrt.f64 (.f64 x 4))))) 1) (/.f64 a (*.f64 b 3)))

Compiler

Compiled 4504 to 3504 computations (22.2% saved)

regimes6.2s (29.7%)

Counts

240 → 3

Calls

Call 1

Inputs
(/.f64 a (*.f64 b -3))
(/.f64 (*.f64 -1/3 a) b)
(/.f64 -1/3 (/.f64 b a))
(*.f64 a (/.f64 -1/3 b))
(*.f64 a (/.f64 -1/3 b))
(*.f64 -1/3 (/.f64 a b))
(/.f64 1 (/.f64 b (*.f64 -1/3 a)))
(.f64 a (.f64 1/3 (/.f64 1 (neg.f64 b))))
(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 a b))) 1)
(-.f64 (-.f64 1 1) (/.f64 a (*.f64 b 3)))
(.f64 a (pow.f64 (.f64 b -3) -1))
(.f64 a (sqrt.f64 (/.f64 1/9 (.f64 b b))))
(-.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 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 2 (sqrt.f64 x)) (/.f64 (/.f64 1 b) (/.f64 3 a)))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 1 b) (/.f64 a 3)))
(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 a (*.f64 b 3)))
(expm1.f64 (log1p.f64 (*.f64 a (/.f64 -1/3 b))))
(expm1.f64 (log1p.f64 (*.f64 -1/3 (/.f64 a b))))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(*.f64 a (pow.f64 (cbrt.f64 (/.f64 -1/3 b)) 3))
(*.f64 a (cbrt.f64 (pow.f64 (/.f64 -1/3 b) 3)))
(cbrt.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3))
(pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 3)
(*.f64 a (pow.f64 (pow.f64 (/.f64 -1/3 b) 3) 1/3))
(fma.f64 2 (sqrt.f64 x) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 2 (sqrt.f64 x) (*.f64 a (/.f64 -1/3 b)))
(.f64 a (exp.f64 (.f64 (*.f64 3 (log.f64 (/.f64 -1/3 b))) 1/3)))
(.f64 a (.f64 (cbrt.f64 (/.f64 1/9 (*.f64 b b))) (cbrt.f64 (/.f64 -1/3 b))))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (/.f64 (/.f64 1 b) (/.f64 3 a)))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (/.f64 1 (/.f64 (*.f64 b 3) a)))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (*.f64 (/.f64 1 b) (/.f64 a 3)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (.f64 z (.f64 1/3 t))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (sqrt.f64 x))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 2 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (sqrt.f64 x))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (cos.f64 (.f64 t (.f64 1/3 z))) (.f64 2 (sqrt.f64 x))) (*.f64 a (/.f64 1/3 b)))
(-.f64 (.f64 (cos.f64 (.f64 t (.f64 1/3 z))) (.f64 2 (sqrt.f64 x))) (/.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 (cos.f64 (.f64 z (.f64 t 1/3))) 1) (.f64 2 (sqrt.f64 x))) (/.f64 a (.f64 b 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 (/.f64 a b) 1/3))
(-.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 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 a (.f64 b 3)))
(-.f64 (-.f64 (+.f64 1 (.f64 2 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (sqrt.f64 x)))) 1) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 z (/.f64 1 (/.f64 3 t)))))) (/.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 (sqrt.f64 (.f64 (.f64 x 4) (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (.f64 z (.f64 t 1/3)))))))) (/.f64 a (*.f64 b 3)))
(/.f64 (/.f64 (*.f64 -1/3 a) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))
(-.f64 (expm1.f64 (log1p.f64 (.f64 2 (sqrt.f64 x)))) (/.f64 a (.f64 b 3)))
(fma.f64 (.f64 a 1/3) (/.f64 -1 b) (.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) 2))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (pow.f64 (/.f64 3 (/.f64 a b)) -1))
(-.f64 (sqrt.f64 (.f64 x (.f64 (pow.f64 (cos.f64 y) 2) 4))) (/.f64 a (*.f64 b 3)))
(fma.f64 2 (.f64 (cos.f64 (.f64 z (.f64 t -1/3))) (sqrt.f64 x)) (.f64 a (/.f64 -1/3 b)))
(-.f64 (sqrt.f64 (.f64 x (.f64 (pow.f64 (cos.f64 y) 2) 4))) (*.f64 (/.f64 1 b) (/.f64 a 3)))
(-.f64 (.f64 (sqrt.f64 x) (fma.f64 (pow.f64 (.f64 t z) 2) -1/9 2)) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 (.f64 2 (cos.f64 y)) (pow.f64 x 1/4)) (pow.f64 x 1/4)) (/.f64 a (.f64 b 3)))
(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 (.f64 t (.f64 z 1/3))) 2))) (/.f64 a (*.f64 b 3)))
(-.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x))) (/.f64 a (.f64 b 3)))
(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 (.f64 z (.f64 t 1/3))) 2))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (cos.f64 (.f64 t (sqrt.f64 (.f64 1/9 (.f64 z z))))) (.f64 2 (sqrt.f64 x))) (/.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 a b)) -1))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (/.f64 3 (.f64 z t)) -1)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (cos.f64 y) 2) (.f64 (.f64 z (.f64 t (sin.f64 y))) 2/3))) (/.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 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (-.f64 (+.f64 1 (cos.f64 (.f64 z (.f64 t 1/3)))) 1) 2))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 t z) (.f64 (sin.f64 y) 2/3)) (.f64 (cos.f64 y) (+.f64 2 (.f64 -1/9 (.f64 t (.f64 t (.f64 z z)))))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (cos.f64 y) (+.f64 (.f64 (.f64 (.f64 t t) -1/9) (.f64 z z)) 2)) (.f64 (sin.f64 y) (.f64 (.f64 t 2/3) z)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (exp.f64 (log.f64 (/.f64 (*.f64 a 1/3) b))))
(-.f64 (exp.f64 (log.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))))) (/.f64 a (*.f64 b 3)))
(-.f64 (exp.f64 (log.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))))) (/.f64 a (*.f64 b 3)))
(-.f64 (expm1.f64 (log1p.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))))) (/.f64 a (*.f64 b 3)))
(log.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 a (/.f64 1/3 b)))))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (exp.f64 (log.f64 (*.f64 a (/.f64 1/3 b)))))
(pow.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (/.f64 (*.f64 a 1/3) b))) 3)
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (sqrt.f64 (pow.f64 (*.f64 (/.f64 a b) 1/3) 2)))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 a b) 1/3)) 3))
(-.f64 (pow.f64 (sqrt.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))) 2) (/.f64 a (*.f64 b 3)))
(-.f64 (pow.f64 (sqrt.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))) 2) (/.f64 a (*.f64 b 3)))
(cbrt.f64 (pow.f64 (-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 a (/.f64 1/3 b))) 3))
(pow.f64 (cbrt.f64 (-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 a (/.f64 1/3 b)))) 3)
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (sqrt.f64 (pow.f64 (*.f64 a (/.f64 1/3 b)) 2)))
(-.f64 (.f64 (.f64 (.f64 2 (cos.f64 y)) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (pow.f64 (/.f64 (pow.f64 (/.f64 a b) 3) 27) 1/3))
(fma.f64 (.f64 (.f64 2 (cos.f64 y)) (cbrt.f64 x)) (pow.f64 x 1/6) (*.f64 a (neg.f64 (/.f64 1/3 b))))
(-.f64 (pow.f64 (pow.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) 3) 1/3) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (pow.f64 (pow.f64 (*.f64 a (/.f64 1/3 b)) 3) 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 (pow.f64 x 1/4) (.f64 (pow.f64 x 1/4) (.f64 2 (cos.f64 y))) (*.f64 a (neg.f64 (/.f64 1/3 b))))
(fma.f64 2 (.f64 (cos.f64 (fma.f64 t (.f64 z -1/3) y)) (neg.f64 (sqrt.f64 x))) (*.f64 a (/.f64 -1/3 b)))
(-.f64 (.f64 (log1p.f64 (expm1.f64 (cos.f64 (.f64 z (.f64 t 1/3))))) (.f64 2 (sqrt.f64 x))) (/.f64 a (*.f64 b 3)))
(-.f64 (exp.f64 (log.f64 (.f64 (cos.f64 (.f64 z (.f64 t 1/3))) (.f64 2 (sqrt.f64 x))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (expm1.f64 (log1p.f64 (cos.f64 (.f64 z (.f64 t 1/3))))) (.f64 2 (sqrt.f64 x))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (cos.f64 (.f64 t (.f64 1/3 z))) (.f64 2 (sqrt.f64 x))) (exp.f64 (log.f64 (*.f64 a (/.f64 1/3 b)))))
(-.f64 (.f64 (cos.f64 (.f64 t (exp.f64 (log.f64 (.f64 1/3 z))))) (.f64 2 (sqrt.f64 x))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (cos.f64 (.f64 t (pow.f64 (cbrt.f64 (.f64 1/3 z)) 3))) (.f64 2 (sqrt.f64 x))) (/.f64 a (*.f64 b 3)))
(-.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 z (.f64 t 1/3))) (.f64 2 (sqrt.f64 x)))) 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 (exp.f64 (log.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 (.f64 t (.f64 1/3 z)) y)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
(fma.f64 (.f64 (.f64 2 (cos.f64 y)) (cbrt.f64 x)) (-.f64 (+.f64 1 (pow.f64 x 1/6)) 1) (*.f64 a (neg.f64 (/.f64 1/3 b))))
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(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 (sin.f64 (.f64 z (.f64 t 1/3))) (sin.f64 y) (.f64 (cos.f64 y) (cos.f64 (.f64 z (pow.f64 (cbrt.f64 (.f64 t 1/3)) 3)))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (.f64 (exp.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))) (exp.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))))))) (/.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 z 1/3) t)))) (exp.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z 1/3) t))))))) (/.f64 a (.f64 b 3)))
(fma.f64 2 (pow.f64 (sqrt.f64 (.f64 (cos.f64 (fma.f64 z (pow.f64 (pow.f64 (cbrt.f64 (.f64 t -1/3)) 2) 3/2) y)) (sqrt.f64 x))) 2) (*.f64 a (/.f64 -1/3 b)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (exp.f64 (fma.f64 (sqrt.f64 (log.f64 (.f64 t 1/3))) (sqrt.f64 (log.f64 (.f64 t 1/3))) (log.f64 z)))))) (/.f64 a (*.f64 b 3)))
(fma.f64 2 (.f64 (sqrt.f64 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))) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 2 (.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (sqrt.f64 x)) 5/6) (pow.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (sqrt.f64 x)) 1/6)) (.f64 a (/.f64 -1/3 b)))
(-.f64 (.f64 (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 z (.f64 t 1/3))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 z (.f64 t 1/3))))) (sin.f64 1))) (.f64 2 (sqrt.f64 x))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (-.f64 y (.f64 z (.f64 t 1/3)))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (-.f64 y (.f64 z (.f64 t 1/3)))))) (sin.f64 1)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z 1/3) t))) 2) (pow.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z 1/3) t))) 2)) (cos.f64 (fma.f64 z (.f64 t 1/3) y)))) (/.f64 a (.f64 b 3)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (/.f64 (.f64 a 1/3) b))) 2) (cbrt.f64 (-.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (/.f64 (.f64 a 1/3) b))) (fma.f64 (neg.f64 (.f64 a 1/3)) (/.f64 1 b) (/.f64 (.f64 a 1/3) b)))
(-.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 (.f64 z 1/3) t)))) (.f64 (sin.f64 (fma.f64 (.f64 z t) -1/3 y)) (sin.f64 (fma.f64 -1/3 (.f64 z t) (.f64 (.f64 z 1/3) t)))))) (/.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 (.f64 z 1/3) t)))) (.f64 (sin.f64 (fma.f64 (.f64 z t) -1/3 y)) (sin.f64 (fma.f64 (neg.f64 (.f64 t 1/3)) z (.f64 (.f64 z 1/3) t)))))) (/.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 (.f64 (.f64 z t) -1/3) 1 (.f64 (.f64 z 1/3) t)))) (.f64 (sin.f64 (fma.f64 (.f64 z t) -1/3 y)) (sin.f64 (fma.f64 (.f64 (.f64 z t) -1/3) 1 (.f64 (.f64 z 1/3) t)))))) (/.f64 a (*.f64 b 3)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 a (/.f64 1/3 b)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 a (/.f64 1/3 b)))))))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (.f64 (.f64 z 1/3) t)))) (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (.f64 (.f64 z 1/3) t)))))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (exp.f64 1) (.f64 2 (log.f64 (cbrt.f64 (.f64 (.f64 z 1/3) t))))) (pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (.f64 (.f64 z 1/3) t)))))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 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)))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))))))) (/.f64 a (*.f64 b 3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 a (/.f64 1/3 b))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 a (/.f64 1/3 b)))))))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 z t) -1/3 y)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 z t) -1/3 y)))) (sin.f64 1)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z 1/3) t)))) 2) (cbrt.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z 1/3) t)))) (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z 1/3) t))))) (/.f64 a (.f64 b 3)))
(fma.f64 2 (.f64 (sqrt.f64 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))))))) (.f64 a (/.f64 -1/3 b)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))))))) (/.f64 a (*.f64 b 3)))
(fma.f64 2 (.f64 (sqrt.f64 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)))) (.f64 a (/.f64 -1/3 b)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (/.f64 (.f64 a 1/3) b))) 2) (cbrt.f64 (-.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (/.f64 (.f64 a 1/3) b))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (.f64 a 1/3) b))) (cbrt.f64 (pow.f64 (/.f64 (.f64 a 1/3) b) 2)) (/.f64 (*.f64 a 1/3) b)))
(fma.f64 2 (.f64 (sqrt.f64 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))))))) (.f64 a (/.f64 -1/3 b)))
(-.f64 (fma.f64 (.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)) 1)) (cbrt.f64 (fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)) 1))) (cbrt.f64 (fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)) 1)) -1) (/.f64 a (*.f64 b 3)))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (+.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))) (sqrt.f64 (.f64 x 4))))) 1) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 (-.f64 (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 t (.f64 1/3 z))))) (cos.f64 1)) (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 t (.f64 1/3 z))))) (sin.f64 1))) (sin.f64 y) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 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)))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 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))))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) (cos.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 z (.f64 t 1/3)))) (cbrt.f64 (pow.f64 (.f64 z (.f64 t 1/3)) 2)) (.f64 z (.f64 t 1/3))))) (.f64 (sin.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) (sin.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 z (.f64 t 1/3)))) (cbrt.f64 (pow.f64 (.f64 z (.f64 t 1/3)) 2)) (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (.f64 z 1/3) t))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (.f64 (.f64 z 1/3) t))))) (sqrt.f64 (cbrt.f64 (log.f64 (.f64 (.f64 z 1/3) t)))))))) (/.f64 a (*.f64 b 3)))

Outputs

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

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

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

Calls

22 calls:

551.0ms	(-.f64 y (/.f64 (*.f64 z t) 3))
511.0ms	(-.f64 y (/.f64 (*.f64 z t) 3))
389.0ms	z
386.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
352.0ms	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))

Results

Error	Segments	Branch
17.0b	1	`x`
17.0b	1	`y`
15.9b	3	`z`
17.0b	1	`t`
17.0b	1	`a`
17.0b	1	`b`
15.5b	2	`(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))`
15.5b	2	`(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))`
15.5b	2	`(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))`
17.0b	1	`(*.f64 2 (sqrt.f64 x))`
17.0b	1	`(*.f64 2 (sqrt.f64 x))`
17.0b	1	`(sqrt.f64 x)`
15.4b	2	`(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))`
15.4b	2	`(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))`
15.2b	3	`(-.f64 y (/.f64 (*.f64 z t) 3))`
15.2b	3	`(-.f64 y (/.f64 (*.f64 z t) 3))`
15.3b	3	`(/.f64 (*.f64 z t) 3)`
15.3b	3	`(/.f64 (*.f64 z t) 3)`
15.3b	3	`(*.f64 z t)`
15.3b	3	`(*.f64 z t)`
17.0b	1	`(/.f64 a (*.f64 b 3))`
17.0b	1	`(*.f64 b 3)`

Compiler

Compiled 5678 to 3698 computations (34.9% saved)

bsearch4.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.168023427486752e+249	8.269099959963459e+254
0.0ms	-2.310614807905775e+251	-5.5333837155817376e+249

Compiler

Compiled 34 to 27 computations (20.6% saved)

regimes2.4s (11.5%)

Counts

194 → 1

Calls

Call 1

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

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

Calls

20 calls:

129.0ms	(*.f64 2 (sqrt.f64 x))
126.0ms	(-.f64 y (/.f64 (*.f64 z t) 3))
126.0ms	z
122.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
121.0ms	(*.f64 b 3)

Results

Error	Segments	Branch
17.0b	1	`x`
17.0b	1	`y`
17.0b	1	`z`
17.0b	1	`t`
17.0b	1	`a`
17.0b	1	`b`
17.0b	1	`(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))`
17.0b	1	`(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))`
17.0b	1	`(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))`
17.0b	1	`(*.f64 2 (sqrt.f64 x))`
17.0b	1	`(*.f64 2 (sqrt.f64 x))`
17.0b	1	`(sqrt.f64 x)`
17.0b	1	`(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))`
17.0b	1	`(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))`
17.0b	1	`(-.f64 y (/.f64 (*.f64 z t) 3))`
17.0b	1	`(-.f64 y (/.f64 (*.f64 z t) 3))`
17.0b	1	`(/.f64 (*.f64 z t) 3)`
17.0b	1	`(*.f64 z t)`
17.0b	1	`(/.f64 a (*.f64 b 3))`
17.0b	1	`(*.f64 b 3)`

Compiler

Compiled 3921 to 2542 computations (35.2% saved)

regimes267.0ms (1.3%)

Counts

31 → 3

Calls

Call 1

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

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

Calls

11 calls:

47.0ms	(/.f64 a (*.f64 b 3))
47.0ms	(/.f64 a (*.f64 b 3))
39.0ms	a
16.0ms	y
16.0ms	(*.f64 b 3)

Results

Error	Segments	Branch
24.7b	1	`x`
24.7b	1	`y`
24.7b	1	`z`
24.7b	1	`t`
23.3b	3	`a`
24.7b	1	`b`
24.7b	1	`(*.f64 2 (sqrt.f64 x))`
24.7b	1	`(sqrt.f64 x)`
20.3b	3	`(/.f64 a (*.f64 b 3))`
20.3b	3	`(/.f64 a (*.f64 b 3))`
24.7b	1	`(*.f64 b 3)`

Compiler

Compiled 357 to 252 computations (29.4% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.8731308946171767e-117	5.504545855295081e-115
0.0ms	-1.0299592580909739e-72	-1.1799410712103506e-73

Compiler

Compiled 34 to 27 computations (20.6% saved)

regimes116.0ms (0.6%)

Counts

21 → 1

Calls

Call 1

Inputs
(/.f64 a (*.f64 b -3))
(/.f64 (*.f64 -1/3 a) b)
(/.f64 -1/3 (/.f64 b a))
(*.f64 a (/.f64 -1/3 b))
(*.f64 a (/.f64 -1/3 b))
(*.f64 -1/3 (/.f64 a b))
(/.f64 1 (/.f64 b (*.f64 -1/3 a)))
(.f64 a (.f64 1/3 (/.f64 1 (neg.f64 b))))
(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 a b))) 1)
(-.f64 (-.f64 1 1) (/.f64 a (*.f64 b 3)))
(.f64 a (pow.f64 (.f64 b -3) -1))
(.f64 a (sqrt.f64 (/.f64 1/9 (.f64 b b))))
(-.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 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 2 (sqrt.f64 x)) (/.f64 (/.f64 1 b) (/.f64 3 a)))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 1 b) (/.f64 a 3)))
(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 a (*.f64 b 3)))
(expm1.f64 (log1p.f64 (*.f64 a (/.f64 -1/3 b))))
(expm1.f64 (log1p.f64 (*.f64 -1/3 (/.f64 a b))))

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

Calls

10 calls:

12.0ms	t
12.0ms	(*.f64 2 (sqrt.f64 x))
11.0ms	a
11.0ms	(sqrt.f64 x)
11.0ms	y

Results

Error	Segments	Branch
24.7b	1	`x`
24.7b	1	`y`
24.7b	1	`z`
24.7b	1	`t`
24.7b	1	`a`
24.7b	1	`b`
24.7b	1	`(*.f64 2 (sqrt.f64 x))`
24.7b	1	`(sqrt.f64 x)`
24.7b	1	`(/.f64 a (*.f64 b 3))`
24.7b	1	`(*.f64 b 3)`

Compiler

Compiled 256 to 183 computations (28.5% saved)

regimes61.0ms (0.3%)

Accuracy

Total -21.1b remaining (-60.9%)

Threshold costs -21.1b (-60.9%)

Counts

12 → 1

Calls

Call 1

Inputs
(/.f64 a (*.f64 b -3))
(/.f64 (*.f64 -1/3 a) b)
(/.f64 -1/3 (/.f64 b a))
(*.f64 a (/.f64 -1/3 b))
(*.f64 a (/.f64 -1/3 b))
(*.f64 -1/3 (/.f64 a b))
(/.f64 1 (/.f64 b (*.f64 -1/3 a)))
(.f64 a (.f64 1/3 (/.f64 1 (neg.f64 b))))
(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 a b))) 1)
(-.f64 (-.f64 1 1) (/.f64 a (*.f64 b 3)))
(.f64 a (pow.f64 (.f64 b -3) -1))
(.f64 a (sqrt.f64 (/.f64 1/9 (.f64 b b))))

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

Calls

8 calls:

8.0ms	b
7.0ms	t
7.0ms	x
7.0ms	(*.f64 b 3)
7.0ms	z

Results

Error	Segments	Branch
34.7b	1	`x`
34.7b	1	`y`
34.7b	1	`z`
34.7b	1	`t`
34.7b	1	`a`
34.7b	1	`b`
34.7b	1	`(/.f64 a (*.f64 b 3))`
34.7b	1	`(*.f64 b 3)`

Compiler

Compiled 146 to 111 computations (24% saved)

simplify10.0ms (0%)

Algorithm

1×	egg-herbie

Rules

29×	`*-commutative_binary64`
24×	`+-commutative_binary64`
24×	`sub-neg_binary64`
15×	`neg-sub0_binary64`
15×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	265
1	113	265
2	168	265
3	202	265
4	220	265
5	224	265

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 y (/.f64 (.f64 z t) 3)) -200000000000000009655823040897755724991688492844686312786150858374325529235015311074428291647705988527319131870906741220999075456086329715600792597832264821896052782616171141921272736618612235758357506491949112630604620500944543457696353904452597448704) (-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (.f64 (/.f64 1 b) (/.f64 a 3))) (if (<=.f64 (-.f64 y (/.f64 (.f64 z t) 3)) 4999999999999999605484165416073513287770213846876111186433258848359206308319668001390237070852677072055182040559071162005202392857270657642140628876378645811821251708536483929887060237325184580570276667596004815337391042777347986076698776288257638400) (-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) (cos.f64 (fma.f64 (neg.f64 (.f64 t 1/3)) z (.f64 z (.f64 t 1/3))))) (.f64 (sin.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) (sin.f64 (fma.f64 (neg.f64 (.f64 t 1/3)) z (.f64 z (.f64 t 1/3))))))) (/.f64 a (.f64 b 3))) (-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (pow.f64 (/.f64 3 (/.f64 a b)) -1))))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (/.f64 a (*.f64 b 3)))
(if (<=.f64 (/.f64 a (.f64 b 3)) -3978585891278293/3978585891278293137243057985174566720803649206378781739523711815145275976100267004264448) (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 1 b) (/.f64 a 3))) (if (<=.f64 (/.f64 a (.f64 b 3)) 3634193621478034432/726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656) (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))))
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(/.f64 a (*.f64 b -3))

Outputs
(if (<=.f64 (-.f64 y (/.f64 (.f64 z t) 3)) -200000000000000009655823040897755724991688492844686312786150858374325529235015311074428291647705988527319131870906741220999075456086329715600792597832264821896052782616171141921272736618612235758357506491949112630604620500944543457696353904452597448704) (-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (.f64 (/.f64 1 b) (/.f64 a 3))) (if (<=.f64 (-.f64 y (/.f64 (.f64 z t) 3)) 4999999999999999605484165416073513287770213846876111186433258848359206308319668001390237070852677072055182040559071162005202392857270657642140628876378645811821251708536483929887060237325184580570276667596004815337391042777347986076698776288257638400) (-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) (cos.f64 (fma.f64 (neg.f64 (.f64 t 1/3)) z (.f64 z (.f64 t 1/3))))) (.f64 (sin.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) (sin.f64 (fma.f64 (neg.f64 (.f64 t 1/3)) z (.f64 z (.f64 t 1/3))))))) (/.f64 a (.f64 b 3))) (-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (pow.f64 (/.f64 3 (/.f64 a b)) -1))))
(if (<=.f64 (-.f64 y (/.f64 (.f64 z t) 3)) -200000000000000009655823040897755724991688492844686312786150858374325529235015311074428291647705988527319131870906741220999075456086329715600792597832264821896052782616171141921272736618612235758357506491949112630604620500944543457696353904452597448704) (-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (.f64 (/.f64 1 b) (/.f64 a 3))) (if (<=.f64 (-.f64 y (/.f64 (.f64 z t) 3)) 4999999999999999605484165416073513287770213846876111186433258848359206308319668001390237070852677072055182040559071162005202392857270657642140628876378645811821251708536483929887060237325184580570276667596004815337391042777347986076698776288257638400) (-.f64 (.f64 (.f64 (sqrt.f64 x) 2) (-.f64 (.f64 (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) (cos.f64 (fma.f64 (.f64 t -1/3) z (.f64 z (.f64 t 1/3))))) (.f64 (sin.f64 (-.f64 y (.f64 z (.f64 t 1/3)))) (sin.f64 (fma.f64 (.f64 t -1/3) z (.f64 z (.f64 t 1/3))))))) (/.f64 a (.f64 3 b))) (-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (pow.f64 (/.f64 3 (/.f64 a b)) -1))))
(if (<=.f64 (-.f64 y (/.f64 (.f64 z t) 3)) -200000000000000009655823040897755724991688492844686312786150858374325529235015311074428291647705988527319131870906741220999075456086329715600792597832264821896052782616171141921272736618612235758357506491949112630604620500944543457696353904452597448704) (-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (.f64 (/.f64 1 b) (/.f64 a 3))) (if (<=.f64 (-.f64 y (/.f64 (.f64 z t) 3)) 4999999999999999605484165416073513287770213846876111186433258848359206308319668001390237070852677072055182040559071162005202392857270657642140628876378645811821251708536483929887060237325184580570276667596004815337391042777347986076698776288257638400) (-.f64 (.f64 (.f64 (sqrt.f64 x) 2) (-.f64 (.f64 (cos.f64 (+.f64 y (.f64 z (.f64 t -1/3)))) (cos.f64 (fma.f64 (.f64 t -1/3) z (.f64 z (.f64 t 1/3))))) (.f64 (sin.f64 (+.f64 y (.f64 z (.f64 t -1/3)))) (sin.f64 (fma.f64 (.f64 t -1/3) z (.f64 z (.f64 t 1/3))))))) (/.f64 a (.f64 3 b))) (-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (pow.f64 (/.f64 3 (/.f64 a b)) -1))))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (/.f64 a (*.f64 3 b)))
(if (<=.f64 (/.f64 a (.f64 b 3)) -3978585891278293/3978585891278293137243057985174566720803649206378781739523711815145275976100267004264448) (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 1 b) (/.f64 a 3))) (if (<=.f64 (/.f64 a (.f64 b 3)) 3634193621478034432/726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656) (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))))
(if (<=.f64 (/.f64 a (.f64 3 b)) -3978585891278293/3978585891278293137243057985174566720803649206378781739523711815145275976100267004264448) (-.f64 (.f64 (sqrt.f64 x) 2) (.f64 (/.f64 1 b) (/.f64 a 3))) (if (<=.f64 (/.f64 a (.f64 3 b)) 3549017208474643/709803441694928604052074031140629428079727891296209043243642772637343054798240159498233447962659731992932150006119314388217384402944) (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (-.f64 (.f64 (sqrt.f64 x) 2) (/.f64 a (.f64 3 b)))))
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) 2) (/.f64 a (.f64 3 b)))
(/.f64 a (*.f64 b -3))

end87.0ms (0.4%)

Stop Event

1×

fuel

Remove

(sort z t)

Compiler

Compiled 602 to 411 computations (31.7% saved)