Details

analyze484.0ms (1.4%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.7%	0.3%	0%	0%	0%	0
0%	0%	99.7%	0.3%	0%	0%	0%	1
0%	0%	99.7%	0.3%	0%	0%	0%	2
0%	0%	99.7%	0.3%	0%	0%	0%	3
0%	0%	99.7%	0.3%	0%	0%	0%	4
0%	0%	99.7%	0.3%	0%	0%	0%	5
0%	0%	99.7%	0.3%	0%	0%	0%	6
0%	0%	99.7%	0.3%	0%	0%	0%	7
0%	0%	74.8%	0.3%	0%	24.9%	0%	8
0%	0%	74.8%	0.3%	0%	24.9%	0%	9
0%	0%	74.8%	0.3%	0%	24.9%	0%	10
0%	0%	74.8%	0.3%	0%	24.9%	0%	11
0%	0%	74.8%	0.3%	0%	24.9%	0%	12

Compiler

Compiled 26 to 20 computations (23.1% saved)

sample5.4s (15.5%)

Results

1.4s	1681×	body	1024	valid
1.4s	5058×	body	256	valid
1.1s	4748×	body	256	invalid
699.0ms	719×	body	2048	valid
398.0ms	798×	body	512	valid
265.0ms	1184×	body	256	infinite

Bogosity

preprocess203.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1
2
3
4
5

Outputs
0
1
2
3
2
4
5

Call 2

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

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

Symmetry

(sort z t)

Compiler

Compiled 31 to 25 computations (19.4% saved)

simplify70.0ms (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`
109×	`associate-/l*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

22.3b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	22.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))
▶	22.5b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (/.f64 (*.f64 a -1/3) b))

Compiler

Compiled 48 to 36 computations (25% saved)

localize39.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (*.f64 z t) 3)
✓	0.2b	(/.f64 a (*.f64 b 3))
✓	0.3b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
✓	25.2b	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))

Compiler

Compiled 83 to 44 computations (47% saved)

series31.0ms (0.1%)

Counts

4 → 120

Calls

33 calls:

Time	Variable		Point	Expression
3.0ms	t	@	inf	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))
3.0ms	t	@	-inf	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
2.0ms	t	@	inf	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
1.0ms	x	@	0	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
1.0ms	x	@	-inf	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))

rewrite118.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 125

Calls

Call 1

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

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

simplify88.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

245 → 166

Calls

Call 1

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

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

localize35.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (*.f64 a -1/3) b)
✓	0.3b	(*.f64 t -1/3)
✓	0.3b	(*.f64 a -1/3)
✓	25.1b	(cos.f64 (fma.f64 z (*.f64 t -1/3) y))

Compiler

Compiled 66 to 39 computations (40.9% saved)

series14.0ms (0%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	t	@	inf	(*.f64 t -1/3)
3.0ms	a	@	-inf	(*.f64 a -1/3)
1.0ms	z	@	0	(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
1.0ms	y	@	0	(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
1.0ms	t	@	0	(cos.f64 (fma.f64 z (*.f64 t -1/3) y))

rewrite77.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 124

Calls

Call 1

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

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

simplify88.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

208 → 147

Calls

Call 1

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

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

eval207.0ms (0.6%)

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

prune382.0ms (1.1%)

Pruning

57 alts after pruning (57 fresh and 0 done)

	Pruned	Kept	Total
New	256	57	313
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	258	57	315

Error

16.8b

Counts

315 → 57

Alt Table

Click to see full alt table

Status	Error	Program
	22.0b	(-.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)))
	37.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (sqrt.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))) 2)) (/.f64 a (.f64 b 3)))
	22.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3))))) (/.f64 a (*.f64 b 3)))
	23.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 a b) 1/3))
	22.8b	(-.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)))
	22.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 1/3 b) a))
	53.4b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 t -1/3))) 3)) y))) (/.f64 (.f64 a -1/3) b))
	22.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 z (/.f64 1 (/.f64 3 t)))))) (/.f64 a (.f64 b 3)))
	22.5b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (pow.f64 (cbrt.f64 (.f64 t -1/3)) 3) y))) (/.f64 (*.f64 a -1/3) b))
	36.0b	(-.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))))) 1) (/.f64 a (.f64 b 3)))
	29.1b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))) 3)) (/.f64 a (.f64 b 3)))
	53.5b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 t -1/3))) 1/3)) y))) (/.f64 (*.f64 a -1/3) b))
	43.1b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (pow.f64 (pow.f64 (.f64 t -1/3) 3) 1/3) y))) (/.f64 (*.f64 a -1/3) b))
	22.2b	(-.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)))
	33.5b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (expm1.f64 (log1p.f64 (*.f64 -1/3 (/.f64 a b)))))
	27.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (sqrt.f64 (pow.f64 (.f64 z (.f64 t 1/3)) 2))))) (/.f64 a (*.f64 b 3)))
	40.1b	(-.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)))
	22.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (expm1.f64 (log1p.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))))) (/.f64 a (.f64 b 3)))
	22.7b	(-.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)))
	28.2b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (.f64 t (.f64 z -1/3)))) (/.f64 (.f64 a -1/3) b))
	19.6b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)) (/.f64 (.f64 a -1/3) b))
	26.5b	(-.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)))
	53.5b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (exp.f64 (log.f64 (.f64 t -1/3))) y))) (/.f64 (*.f64 a -1/3) b))
	22.0b	(-.f64 (+.f64 (.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 2 (sqrt.f64 x))) (.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) (.f64 2 (sqrt.f64 x)))) (/.f64 a (*.f64 b 3)))
	22.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (/.f64 (/.f64 3 z) t) -1)))) (/.f64 a (*.f64 b 3)))
	22.7b	(-.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)))
	22.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) 3) (pow.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) 3)) (fma.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (-.f64 (.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))) (.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))))))) (/.f64 a (*.f64 b 3)))
	23.1b	(fma.f64 (sqrt.f64 x) (.f64 2 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))))) (/.f64 (.f64 a -1/3) b))
	38.4b	(-.f64 (exp.f64 (log.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))))) (/.f64 a (.f64 b 3)))
	25.9b	(-.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)))
	36.6b	(-.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)))
▶	34.5b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (cos.f64 y) (+.f64 2 (.f64 -1/9 (.f64 t (.f64 t (.f64 z z)))))) (.f64 (.f64 z (sin.f64 y)) (.f64 t 2/3)))) (/.f64 a (.f64 b 3)))
▶	19.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
	22.4b	(-.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)))
	22.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)))))) (/.f64 a (.f64 b 3)))
	35.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (.f64 (pow.f64 (.f64 z t) 3) 1/27) 1/3)))) (/.f64 a (*.f64 b 3)))
	40.0b	(-.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)))
	31.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.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 a (*.f64 b 3)))
	22.0b	(-.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)))
	40.2b	(fma.f64 (sqrt.f64 x) (.f64 2 (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 z (.f64 t -1/3) y)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 z (.f64 t -1/3) y)))) (sin.f64 1)))) (/.f64 (.f64 a -1/3) b))
	38.0b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (log.f64 (+.f64 1 (expm1.f64 (.f64 t -1/3)))) y))) (/.f64 (*.f64 a -1/3) b))
	22.7b	(-.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)))
	22.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 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))))) (/.f64 a (.f64 b 3)))
	22.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 1 b) (/.f64 a 3)))
	38.1b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) t))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) t)))) y))) (/.f64 (.f64 a -1/3) b))
	22.0b	(-.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)))
	22.7b	(-.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)))
▶	28.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 1/3 t)))) (/.f64 a (*.f64 b 3)))
	30.5b	(-.f64 (expm1.f64 (log1p.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))))) (/.f64 a (.f64 b 3)))
	22.9b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x)))) 3) (/.f64 a (.f64 b 3)))
	29.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (expm1.f64 (log1p.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
▶	25.9b	(-.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)))
▶	26.0b	(fma.f64 (sqrt.f64 x) (.f64 2 (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2))) (/.f64 (*.f64 a -1/3) b))
	38.9b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 y (.f64 2 (sin.f64 (.f64 z (.f64 1/3 t))))) (.f64 (cos.f64 (.f64 z (.f64 1/3 t))) (-.f64 2 (.f64 y y))))) (/.f64 a (.f64 b 3)))
	22.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 z 3) t)))) (/.f64 a (.f64 b 3)))
	28.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z))))) (/.f64 a (*.f64 b 3)))
	41.0b	(-.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))) 3) 1/3) (/.f64 a (.f64 b 3)))

Compiler

Compiled 3498 to 2644 computations (24.4% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 48 to 27 computations (43.8% saved)

series13.0ms (0%)

Counts

3 → 53

Calls

21 calls:

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

rewrite114.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	34
1	299	34
2	3957	34

Stop Event

1×	node limit

Counts

3 → 168

Calls

Call 1

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

Outputs

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

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

simplify83.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

490×	`distribute-rgt-neg-in_binary64`
489×	`associate-l_binary64`
459×	`distribute-lft-out_binary64`
449×	`distribute-rgt-out_binary64`
447×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	51	897
1	130	867
2	348	821
3	1159	821
4	3975	821

Stop Event

1×	node limit

Counts

221 → 197

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)))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4))))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))

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

localize64.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 z (.f64 1/3 t))
	0.2b	(/.f64 a (*.f64 b 3))
✓	0.3b	(*.f64 1/3 t)
✓	30.2b	(cos.f64 (.f64 z (.f64 1/3 t)))

Compiler

Compiled 70 to 44 computations (37.1% saved)

series5.0ms (0%)

Counts

3 → 48

Calls

15 calls:

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

rewrite58.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 38

Calls

Call 1

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

Outputs

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

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

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

simplify258.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 6 (0.0ms)

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

Stop Event

1×	node limit

Counts

86 → 49

Calls

Call 1

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

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

localize94.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.7b	(+.f64 (.f64 (cos.f64 y) (+.f64 2 (.f64 -1/9 (.f64 t (.f64 t (.f64 z z)))))) (.f64 (.f64 z (sin.f64 y)) (.f64 t 2/3)))
✓	2.1b	(.f64 (.f64 z (sin.f64 y)) (*.f64 t 2/3))
✓	2.5b	(.f64 t (.f64 t (*.f64 z z)))
✓	8.1b	(.f64 t (.f64 z z))

Compiler

Compiled 175 to 71 computations (59.4% saved)

series32.0ms (0.1%)

Counts

4 → 120

Calls

30 calls:

Time	Variable		Point	Expression
8.0ms	t	@	inf	(+.f64 (.f64 (cos.f64 y) (+.f64 2 (.f64 -1/9 (.f64 t (.f64 t (.f64 z z)))))) (.f64 (.f64 z (sin.f64 y)) (.f64 t 2/3)))
4.0ms	z	@	0	(.f64 (.f64 z (sin.f64 y)) (*.f64 t 2/3))
1.0ms	t	@	0	(.f64 (.f64 z (sin.f64 y)) (*.f64 t 2/3))
1.0ms	y	@	inf	(+.f64 (.f64 (cos.f64 y) (+.f64 2 (.f64 -1/9 (.f64 t (.f64 t (.f64 z z)))))) (.f64 (.f64 z (sin.f64 y)) (.f64 t 2/3)))
1.0ms	z	@	-inf	(.f64 (.f64 z (sin.f64 y)) (*.f64 t 2/3))

rewrite106.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

677×	`fma-def_binary64`
363×	`expm1-udef_binary64`
363×	`log1p-udef_binary64`
301×	`fma-neg_binary64`
297×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	62
1	414	54
2	5578	54

Stop Event

1×	node limit

Counts

4 → 127

Calls

Call 1

Inputs
(.f64 t (.f64 z z))
(.f64 t (.f64 t (*.f64 z z)))
(.f64 (.f64 z (sin.f64 y)) (*.f64 t 2/3))
(+.f64 (.f64 (cos.f64 y) (+.f64 2 (.f64 -1/9 (.f64 t (.f64 t (.f64 z z)))))) (.f64 (.f64 z (sin.f64 y)) (.f64 t 2/3)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 t (.f64 z z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 t (.f64 z z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 t (.f64 z z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 t (.f64 z z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 z (sqrt.f64 t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 t t) (pow.f64 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 t) (.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 t (.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 t (.f64 z z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 t 3) (pow.f64 (.f64 z z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 z z) 3) (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 t (.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 t (.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 t (.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 t (*.f64 z z))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 t z) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 t z) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (.f64 t z) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (.f64 t z) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 t z) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (.f64 t z) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (.f64 t z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (.f64 t z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (.f64 t z) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 t 3) (pow.f64 (.f64 t (.f64 z z)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 t (.f64 z z)) 3) (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (.f64 t z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (.f64 t z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (.f64 t z))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 z (.f64 (sin.f64 y) (.f64 t 2/3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 z (.f64 (sin.f64 y) (.f64 t 2/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 z (.f64 (sin.f64 y) (.f64 t 2/3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 z (.f64 (sin.f64 y) (.f64 t 2/3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (.f64 t (.f64 z (sin.f64 y))) 3) 8/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 z (.f64 (sin.f64 y) (.f64 t 2/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (.f64 (sin.f64 y) (.f64 t 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 z (.f64 (sin.f64 y) (.f64 t 2/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 t (.f64 z (sin.f64 y))) 3) 8/27))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 z (.f64 (sin.f64 y) (.f64 t 2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 z (.f64 (sin.f64 y) (.f64 t 2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 z (.f64 (sin.f64 y) (.f64 t 2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 z (.f64 (sin.f64 y) (*.f64 t 2/3)))) 1))))))
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 z (sin.f64 y)) (sqrt.f64 (.f64 t 2/3))) (sqrt.f64 (.f64 t 2/3)) (.f64 (cos.f64 y) (fma.f64 (pow.f64 (.f64 t z) 2) -1/9 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 t 2/3) z) (sin.f64 y) (.f64 (cos.f64 y) (fma.f64 (pow.f64 (.f64 t z) 2) -1/9 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 t 2/3) (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2)) (cbrt.f64 (.f64 z (sin.f64 y))) (.f64 (cos.f64 y) (fma.f64 (pow.f64 (.f64 t z) 2) -1/9 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 t 2/3) (sqrt.f64 (.f64 z (sin.f64 y)))) (sqrt.f64 (.f64 z (sin.f64 y))) (.f64 (cos.f64 y) (fma.f64 (pow.f64 (*.f64 t z) 2) -1/9 2)))))))

simplify173.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

477×	`fma-def_binary64`
474×	`sub-neg_binary64`
446×	`distribute-rgt-out_binary64`
416×	`associate-l_binary64`
383×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	1921
1	199	1901
2	636	1859
3	2851	1841
4	5022	1841
5	5822	1841
6	7456	1841

Stop Event

1×	node limit

Counts

247 → 160

Calls

Call 1

Inputs
(*.f64 t (pow.f64 z 2))
(*.f64 t (pow.f64 z 2))
(*.f64 t (pow.f64 z 2))
(*.f64 t (pow.f64 z 2))
(*.f64 t (pow.f64 z 2))
(*.f64 t (pow.f64 z 2))
(*.f64 t (pow.f64 z 2))
(*.f64 t (pow.f64 z 2))
(*.f64 t (pow.f64 z 2))
(*.f64 t (pow.f64 z 2))
(*.f64 t (pow.f64 z 2))
(*.f64 t (pow.f64 z 2))
(*.f64 t (pow.f64 z 2))
(*.f64 t (pow.f64 z 2))
(*.f64 t (pow.f64 z 2))
(*.f64 t (pow.f64 z 2))
(*.f64 t (pow.f64 z 2))
(*.f64 t (pow.f64 z 2))
(*.f64 t (pow.f64 z 2))
(*.f64 t (pow.f64 z 2))
(*.f64 t (pow.f64 z 2))
(*.f64 t (pow.f64 z 2))
(*.f64 t (pow.f64 z 2))
(*.f64 t (pow.f64 z 2))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(.f64 2/3 (.f64 t (*.f64 z (sin.f64 y))))
(.f64 2/3 (.f64 t (*.f64 z (sin.f64 y))))
(.f64 2/3 (.f64 t (*.f64 z (sin.f64 y))))
(.f64 2/3 (.f64 t (*.f64 z (sin.f64 y))))
(.f64 2/3 (.f64 t (*.f64 z (sin.f64 y))))
(.f64 2/3 (.f64 t (*.f64 z (sin.f64 y))))
(.f64 2/3 (.f64 t (*.f64 z (sin.f64 y))))
(.f64 2/3 (.f64 t (*.f64 z (sin.f64 y))))
(.f64 2/3 (.f64 t (*.f64 z (sin.f64 y))))
(.f64 2/3 (.f64 t (*.f64 z (sin.f64 y))))
(.f64 2/3 (.f64 t (*.f64 z (sin.f64 y))))
(.f64 2/3 (.f64 t (*.f64 z (sin.f64 y))))
(.f64 2/3 (.f64 y (*.f64 t z)))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 y 3) (.f64 t z))) (.f64 2/3 (.f64 y (.f64 t z))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 y 3) (.f64 t z))) (+.f64 (.f64 1/180 (.f64 (pow.f64 y 5) (.f64 t z))) (.f64 2/3 (.f64 y (*.f64 t z)))))
(+.f64 (.f64 -1/7560 (.f64 (pow.f64 y 7) (.f64 t z))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 y 3) (.f64 t z))) (+.f64 (.f64 1/180 (.f64 (pow.f64 y 5) (.f64 t z))) (.f64 2/3 (.f64 y (.f64 t z))))))
(.f64 2/3 (.f64 t (*.f64 z (sin.f64 y))))
(.f64 2/3 (.f64 t (*.f64 z (sin.f64 y))))
(.f64 2/3 (.f64 t (*.f64 z (sin.f64 y))))
(.f64 2/3 (.f64 t (*.f64 z (sin.f64 y))))
(.f64 2/3 (.f64 t (*.f64 z (sin.f64 y))))
(.f64 2/3 (.f64 t (*.f64 z (sin.f64 y))))
(.f64 2/3 (.f64 t (*.f64 z (sin.f64 y))))
(.f64 2/3 (.f64 t (*.f64 z (sin.f64 y))))
(.f64 2/3 (.f64 t (*.f64 z (sin.f64 y))))
(.f64 2/3 (.f64 t (*.f64 z (sin.f64 y))))
(.f64 2/3 (.f64 t (*.f64 z (sin.f64 y))))
(.f64 2/3 (.f64 t (*.f64 z (sin.f64 y))))
(.f64 2/3 (.f64 t (*.f64 z (sin.f64 y))))
(.f64 2/3 (.f64 t (*.f64 z (sin.f64 y))))
(.f64 2/3 (.f64 t (*.f64 z (sin.f64 y))))
(.f64 2/3 (.f64 t (*.f64 z (sin.f64 y))))
(.f64 2/3 (.f64 t (*.f64 z (sin.f64 y))))
(.f64 2/3 (.f64 t (*.f64 z (sin.f64 y))))
(.f64 2/3 (.f64 t (*.f64 z (sin.f64 y))))
(.f64 2/3 (.f64 t (*.f64 z (sin.f64 y))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 t 2) (pow.f64 z 2))) 2)
(+.f64 (.f64 -1/9 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (+.f64 2 (.f64 2/3 (.f64 y (*.f64 t z)))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (+.f64 2 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/9 (.f64 (pow.f64 t 2) (pow.f64 z 2))) 2))) (.f64 2/3 (.f64 y (*.f64 t z))))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (+.f64 2 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/9 (.f64 (pow.f64 t 2) (pow.f64 z 2))) 2))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 y 3) (.f64 t z))) (.f64 2/3 (.f64 y (.f64 t z)))))))
(+.f64 (.f64 2/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 (cos.f64 y) (+.f64 (.f64 -1/9 (.f64 (pow.f64 t 2) (pow.f64 z 2))) 2)))
(+.f64 (.f64 2/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 (cos.f64 y) (+.f64 (.f64 -1/9 (.f64 (pow.f64 t 2) (pow.f64 z 2))) 2)))
(+.f64 (.f64 2/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 (cos.f64 y) (+.f64 (.f64 -1/9 (.f64 (pow.f64 t 2) (pow.f64 z 2))) 2)))
(+.f64 (.f64 2/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 (cos.f64 y) (+.f64 (.f64 -1/9 (.f64 (pow.f64 t 2) (pow.f64 z 2))) 2)))
(+.f64 (.f64 2/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 (cos.f64 y) (+.f64 (.f64 -1/9 (.f64 (pow.f64 t 2) (pow.f64 z 2))) 2)))
(+.f64 (.f64 2/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 (cos.f64 y) (+.f64 (.f64 -1/9 (.f64 (pow.f64 t 2) (pow.f64 z 2))) 2)))
(+.f64 (.f64 2/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 (cos.f64 y) (+.f64 (.f64 -1/9 (.f64 (pow.f64 t 2) (pow.f64 z 2))) 2)))
(+.f64 (.f64 2/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 (cos.f64 y) (+.f64 (.f64 -1/9 (.f64 (pow.f64 t 2) (pow.f64 z 2))) 2)))
(*.f64 2 (cos.f64 y))
(+.f64 (.f64 2/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 2 (cos.f64 y)))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 t 2) (.f64 (pow.f64 z 2) (cos.f64 y)))) (+.f64 (.f64 2/3 (.f64 t (.f64 z (sin.f64 y)))) (*.f64 2 (cos.f64 y))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 t 2) (.f64 (pow.f64 z 2) (cos.f64 y)))) (+.f64 (.f64 2/3 (.f64 t (.f64 z (sin.f64 y)))) (*.f64 2 (cos.f64 y))))
(.f64 -1/9 (.f64 (pow.f64 t 2) (*.f64 (cos.f64 y) (pow.f64 z 2))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (.f64 2/3 (.f64 t (.f64 z (sin.f64 y)))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (.f64 2/3 (.f64 t (.f64 z (sin.f64 y)))) (*.f64 2 (cos.f64 y))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (.f64 2/3 (.f64 t (.f64 z (sin.f64 y)))) (*.f64 2 (cos.f64 y))))
(.f64 -1/9 (.f64 (pow.f64 t 2) (*.f64 (cos.f64 y) (pow.f64 z 2))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (.f64 2/3 (.f64 t (.f64 z (sin.f64 y)))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (.f64 2/3 (.f64 t (.f64 z (sin.f64 y)))) (*.f64 2 (cos.f64 y))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (.f64 2/3 (.f64 t (.f64 z (sin.f64 y)))) (*.f64 2 (cos.f64 y))))
(*.f64 2 (cos.f64 y))
(+.f64 (.f64 2/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 2 (cos.f64 y)))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (.f64 2/3 (.f64 t (.f64 z (sin.f64 y)))) (*.f64 2 (cos.f64 y))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (.f64 2/3 (.f64 t (.f64 z (sin.f64 y)))) (*.f64 2 (cos.f64 y))))
(.f64 -1/9 (.f64 (pow.f64 t 2) (*.f64 (cos.f64 y) (pow.f64 z 2))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (.f64 2/3 (.f64 t (.f64 z (sin.f64 y)))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (.f64 2/3 (.f64 t (.f64 z (sin.f64 y)))) (*.f64 2 (cos.f64 y))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (.f64 2/3 (.f64 t (.f64 z (sin.f64 y)))) (*.f64 2 (cos.f64 y))))
(.f64 -1/9 (.f64 (pow.f64 t 2) (*.f64 (cos.f64 y) (pow.f64 z 2))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (.f64 2/3 (.f64 t (.f64 z (sin.f64 y)))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (.f64 2/3 (.f64 t (.f64 z (sin.f64 y)))) (*.f64 2 (cos.f64 y))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (.f64 2/3 (.f64 t (.f64 z (sin.f64 y)))) (*.f64 2 (cos.f64 y))))

Outputs
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(.f64 t (.f64 z z))
(*.f64 t (pow.f64 z 2))
(.f64 t (.f64 z z))
(*.f64 t (pow.f64 z 2))
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(.f64 t (.f64 z z))
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(.f64 t (.f64 z z))
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(.f64 t (.f64 z z))
(*.f64 t (pow.f64 z 2))
(.f64 t (.f64 z z))
(*.f64 t (pow.f64 z 2))
(.f64 t (.f64 z z))
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(*.f64 (pow.f64 t 2) (pow.f64 z 2))
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(*.f64 (pow.f64 t 2) (pow.f64 z 2))
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(*.f64 (pow.f64 t 2) (pow.f64 z 2))
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(*.f64 (pow.f64 t 2) (pow.f64 z 2))
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(*.f64 (pow.f64 t 2) (pow.f64 z 2))
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(*.f64 (pow.f64 t 2) (pow.f64 z 2))
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(*.f64 (pow.f64 t 2) (pow.f64 z 2))
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(*.f64 (pow.f64 t 2) (pow.f64 z 2))
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(*.f64 (pow.f64 t 2) (pow.f64 z 2))
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(*.f64 (pow.f64 t 2) (pow.f64 z 2))
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(*.f64 (pow.f64 t 2) (pow.f64 z 2))
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(*.f64 (pow.f64 t 2) (pow.f64 z 2))
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(*.f64 (pow.f64 t 2) (pow.f64 z 2))
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(*.f64 (pow.f64 t 2) (pow.f64 z 2))
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(fma.f64 -1/9 (.f64 (.f64 t z) (pow.f64 y 3)) (.f64 2/3 (.f64 y (*.f64 t z))))
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(fma.f64 -1/9 (.f64 t (.f64 z (pow.f64 y 3))) (.f64 (.f64 t z) (+.f64 (.f64 2/3 y) (.f64 1/180 (pow.f64 y 5)))))
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(*.f64 2 (cos.f64 y))
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(fma.f64 2/3 (.f64 t (.f64 z (sin.f64 y))) (*.f64 2 (cos.f64 y)))
(fma.f64 2 (cos.f64 y) (.f64 t (.f64 (*.f64 z (sin.f64 y)) 2/3)))
(fma.f64 t (.f64 z (.f64 2/3 (sin.f64 y))) (*.f64 2 (cos.f64 y)))
(fma.f64 t (.f64 2/3 (.f64 z (sin.f64 y))) (*.f64 2 (cos.f64 y)))
(fma.f64 t (.f64 (sin.f64 y) (.f64 z 2/3)) (*.f64 2 (cos.f64 y)))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (.f64 2/3 (.f64 t (.f64 z (sin.f64 y)))) (*.f64 2 (cos.f64 y))))
(fma.f64 2/3 (.f64 t (.f64 z (sin.f64 y))) (.f64 (fma.f64 -1/9 (.f64 (.f64 z z) (.f64 t t)) 2) (cos.f64 y)))
(fma.f64 2/3 (.f64 t (.f64 z (sin.f64 y))) (.f64 (fma.f64 (.f64 (.f64 t t) -1/9) (.f64 z z) 2) (cos.f64 y)))
(fma.f64 t (.f64 z (.f64 2/3 (sin.f64 y))) (.f64 (fma.f64 (.f64 z z) (.f64 (.f64 t t) -1/9) 2) (cos.f64 y)))
(fma.f64 t (.f64 2/3 (.f64 z (sin.f64 y))) (.f64 (fma.f64 (.f64 z z) (.f64 t (.f64 t -1/9)) 2) (cos.f64 y)))
(fma.f64 t (.f64 (sin.f64 y) (.f64 z 2/3)) (.f64 (fma.f64 (.f64 z z) (.f64 t (.f64 t -1/9)) 2) (cos.f64 y)))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (.f64 2/3 (.f64 t (.f64 z (sin.f64 y)))) (*.f64 2 (cos.f64 y))))
(fma.f64 2/3 (.f64 t (.f64 z (sin.f64 y))) (.f64 (fma.f64 -1/9 (.f64 (.f64 z z) (.f64 t t)) 2) (cos.f64 y)))
(fma.f64 2/3 (.f64 t (.f64 z (sin.f64 y))) (.f64 (fma.f64 (.f64 (.f64 t t) -1/9) (.f64 z z) 2) (cos.f64 y)))
(fma.f64 t (.f64 z (.f64 2/3 (sin.f64 y))) (.f64 (fma.f64 (.f64 z z) (.f64 (.f64 t t) -1/9) 2) (cos.f64 y)))
(fma.f64 t (.f64 2/3 (.f64 z (sin.f64 y))) (.f64 (fma.f64 (.f64 z z) (.f64 t (.f64 t -1/9)) 2) (cos.f64 y)))
(fma.f64 t (.f64 (sin.f64 y) (.f64 z 2/3)) (.f64 (fma.f64 (.f64 z z) (.f64 t (.f64 t -1/9)) 2) (cos.f64 y)))
(.f64 -1/9 (.f64 (pow.f64 t 2) (*.f64 (cos.f64 y) (pow.f64 z 2))))
(.f64 -1/9 (.f64 (.f64 (.f64 z z) (*.f64 t t)) (cos.f64 y)))
(.f64 (.f64 (.f64 z z) (.f64 (*.f64 t t) -1/9)) (cos.f64 y))
(.f64 (.f64 z z) (.f64 (cos.f64 y) (.f64 (*.f64 t t) -1/9)))
(.f64 z (.f64 (.f64 z (cos.f64 y)) (.f64 t (*.f64 t -1/9))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (.f64 2/3 (.f64 t (.f64 z (sin.f64 y)))))
(fma.f64 -1/9 (.f64 (.f64 (.f64 z z) (.f64 t t)) (cos.f64 y)) (.f64 2/3 (.f64 t (*.f64 z (sin.f64 y)))))
(fma.f64 2/3 (.f64 t (.f64 z (sin.f64 y))) (.f64 (.f64 (.f64 z z) (.f64 (*.f64 t t) -1/9)) (cos.f64 y)))
(fma.f64 2/3 (.f64 (sin.f64 y) (.f64 t z)) (.f64 (.f64 z z) (.f64 (cos.f64 y) (.f64 (*.f64 t t) -1/9))))
(.f64 (.f64 t z) (+.f64 (.f64 2/3 (sin.f64 y)) (.f64 (.f64 -1/9 (cos.f64 y)) (.f64 t z))))
(.f64 (.f64 t z) (+.f64 (.f64 (.f64 t z) (.f64 -1/9 (cos.f64 y))) (.f64 2/3 (sin.f64 y))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (.f64 2/3 (.f64 t (.f64 z (sin.f64 y)))) (*.f64 2 (cos.f64 y))))
(fma.f64 2/3 (.f64 t (.f64 z (sin.f64 y))) (.f64 (fma.f64 -1/9 (.f64 (.f64 z z) (.f64 t t)) 2) (cos.f64 y)))
(fma.f64 2/3 (.f64 t (.f64 z (sin.f64 y))) (.f64 (fma.f64 (.f64 (.f64 t t) -1/9) (.f64 z z) 2) (cos.f64 y)))
(fma.f64 t (.f64 z (.f64 2/3 (sin.f64 y))) (.f64 (fma.f64 (.f64 z z) (.f64 (.f64 t t) -1/9) 2) (cos.f64 y)))
(fma.f64 t (.f64 2/3 (.f64 z (sin.f64 y))) (.f64 (fma.f64 (.f64 z z) (.f64 t (.f64 t -1/9)) 2) (cos.f64 y)))
(fma.f64 t (.f64 (sin.f64 y) (.f64 z 2/3)) (.f64 (fma.f64 (.f64 z z) (.f64 t (.f64 t -1/9)) 2) (cos.f64 y)))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (.f64 2/3 (.f64 t (.f64 z (sin.f64 y)))) (*.f64 2 (cos.f64 y))))
(fma.f64 2/3 (.f64 t (.f64 z (sin.f64 y))) (.f64 (fma.f64 -1/9 (.f64 (.f64 z z) (.f64 t t)) 2) (cos.f64 y)))
(fma.f64 2/3 (.f64 t (.f64 z (sin.f64 y))) (.f64 (fma.f64 (.f64 (.f64 t t) -1/9) (.f64 z z) 2) (cos.f64 y)))
(fma.f64 t (.f64 z (.f64 2/3 (sin.f64 y))) (.f64 (fma.f64 (.f64 z z) (.f64 (.f64 t t) -1/9) 2) (cos.f64 y)))
(fma.f64 t (.f64 2/3 (.f64 z (sin.f64 y))) (.f64 (fma.f64 (.f64 z z) (.f64 t (.f64 t -1/9)) 2) (cos.f64 y)))
(fma.f64 t (.f64 (sin.f64 y) (.f64 z 2/3)) (.f64 (fma.f64 (.f64 z z) (.f64 t (.f64 t -1/9)) 2) (cos.f64 y)))
(.f64 -1/9 (.f64 (pow.f64 t 2) (*.f64 (cos.f64 y) (pow.f64 z 2))))
(.f64 -1/9 (.f64 (.f64 (.f64 z z) (*.f64 t t)) (cos.f64 y)))
(.f64 (.f64 (.f64 z z) (.f64 (*.f64 t t) -1/9)) (cos.f64 y))
(.f64 (.f64 z z) (.f64 (cos.f64 y) (.f64 (*.f64 t t) -1/9)))
(.f64 z (.f64 (.f64 z (cos.f64 y)) (.f64 t (*.f64 t -1/9))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (.f64 2/3 (.f64 t (.f64 z (sin.f64 y)))))
(fma.f64 -1/9 (.f64 (.f64 (.f64 z z) (.f64 t t)) (cos.f64 y)) (.f64 2/3 (.f64 t (*.f64 z (sin.f64 y)))))
(fma.f64 2/3 (.f64 t (.f64 z (sin.f64 y))) (.f64 (.f64 (.f64 z z) (.f64 (*.f64 t t) -1/9)) (cos.f64 y)))
(fma.f64 2/3 (.f64 (sin.f64 y) (.f64 t z)) (.f64 (.f64 z z) (.f64 (cos.f64 y) (.f64 (*.f64 t t) -1/9))))
(.f64 (.f64 t z) (+.f64 (.f64 2/3 (sin.f64 y)) (.f64 (.f64 -1/9 (cos.f64 y)) (.f64 t z))))
(.f64 (.f64 t z) (+.f64 (.f64 (.f64 t z) (.f64 -1/9 (cos.f64 y))) (.f64 2/3 (sin.f64 y))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (.f64 2/3 (.f64 t (.f64 z (sin.f64 y)))) (*.f64 2 (cos.f64 y))))
(fma.f64 2/3 (.f64 t (.f64 z (sin.f64 y))) (.f64 (fma.f64 -1/9 (.f64 (.f64 z z) (.f64 t t)) 2) (cos.f64 y)))
(fma.f64 2/3 (.f64 t (.f64 z (sin.f64 y))) (.f64 (fma.f64 (.f64 (.f64 t t) -1/9) (.f64 z z) 2) (cos.f64 y)))
(fma.f64 t (.f64 z (.f64 2/3 (sin.f64 y))) (.f64 (fma.f64 (.f64 z z) (.f64 (.f64 t t) -1/9) 2) (cos.f64 y)))
(fma.f64 t (.f64 2/3 (.f64 z (sin.f64 y))) (.f64 (fma.f64 (.f64 z z) (.f64 t (.f64 t -1/9)) 2) (cos.f64 y)))
(fma.f64 t (.f64 (sin.f64 y) (.f64 z 2/3)) (.f64 (fma.f64 (.f64 z z) (.f64 t (.f64 t -1/9)) 2) (cos.f64 y)))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (.f64 2/3 (.f64 t (.f64 z (sin.f64 y)))) (*.f64 2 (cos.f64 y))))
(fma.f64 2/3 (.f64 t (.f64 z (sin.f64 y))) (.f64 (fma.f64 -1/9 (.f64 (.f64 z z) (.f64 t t)) 2) (cos.f64 y)))
(fma.f64 2/3 (.f64 t (.f64 z (sin.f64 y))) (.f64 (fma.f64 (.f64 (.f64 t t) -1/9) (.f64 z z) 2) (cos.f64 y)))
(fma.f64 t (.f64 z (.f64 2/3 (sin.f64 y))) (.f64 (fma.f64 (.f64 z z) (.f64 (.f64 t t) -1/9) 2) (cos.f64 y)))
(fma.f64 t (.f64 2/3 (.f64 z (sin.f64 y))) (.f64 (fma.f64 (.f64 z z) (.f64 t (.f64 t -1/9)) 2) (cos.f64 y)))
(fma.f64 t (.f64 (sin.f64 y) (.f64 z 2/3)) (.f64 (fma.f64 (.f64 z z) (.f64 t (.f64 t -1/9)) 2) (cos.f64 y)))

localize83.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 a (*.f64 b 3))
✓	0.3b	(.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y)) 2)))
✓	0.4b	(pow.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y)) 2)
✓	25.1b	(cos.f64 (fma.f64 (*.f64 z t) -1/3 y))

Compiler

Compiled 100 to 56 computations (44% saved)

series20.0ms (0.1%)

Counts

3 → 108

Calls

30 calls:

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

rewrite87.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

645×	`log-prod_binary64`
412×	`pow-prod-down_binary64`
342×	`pow2_binary64`
242×	`pow1/3_binary64`
240×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	303	41
2	3215	41

Stop Event

1×	node limit

Counts

3 → 81

Calls

Call 1

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

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

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

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

simplify234.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

707×	`fma-neg_binary64`
532×	`distribute-lft-out_binary64`
509×	`distribute-rgt-out_binary64`
405×	`unswap-sqr_binary64`
332×	`associate-+l+_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	156	2506
1	532	2399
2	2042	2238
3	4016	2209
4	7096	2205

Stop Event

1×	node limit

Counts

189 → 137

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))
(pow.f64 (cos.f64 y) 2)
(+.f64 (pow.f64 (cos.f64 y) 2) (.f64 2/3 (.f64 t (.f64 (cos.f64 y) (.f64 z (sin.f64 y))))))
(+.f64 (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 t 2) (pow.f64 (sin.f64 y) 2))) (.f64 -1/9 (.f64 (pow.f64 t 2) (pow.f64 (cos.f64 y) 2)))) (pow.f64 z 2)) (+.f64 (pow.f64 (cos.f64 y) 2) (.f64 2/3 (.f64 t (.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(+.f64 (.f64 (pow.f64 z 3) (+.f64 (.f64 -1/27 (.f64 (pow.f64 t 3) (.f64 (cos.f64 y) (sin.f64 y)))) (.f64 -1/81 (.f64 (pow.f64 t 3) (.f64 (cos.f64 y) (sin.f64 y)))))) (+.f64 (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 t 2) (pow.f64 (sin.f64 y) 2))) (.f64 -1/9 (.f64 (pow.f64 t 2) (pow.f64 (cos.f64 y) 2)))) (pow.f64 z 2)) (+.f64 (pow.f64 (cos.f64 y) 2) (.f64 2/3 (.f64 t (.f64 (cos.f64 y) (.f64 z (sin.f64 y))))))))
(pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 2)
(pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 2)
(pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 2)
(pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 2)
(pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 2)
(pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 2)
(pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 2)
(pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 2)
(pow.f64 (cos.f64 y) 2)
(+.f64 (.f64 t (+.f64 (.f64 1/3 (.f64 z (.f64 (cos.f64 y) (sin.f64 y)))) (.f64 1/3 (.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) (pow.f64 (cos.f64 y) 2))
(+.f64 (.f64 t (+.f64 (.f64 1/3 (.f64 z (.f64 (cos.f64 y) (sin.f64 y)))) (.f64 1/3 (.f64 (cos.f64 y) (.f64 z (sin.f64 y)))))) (+.f64 (.f64 (+.f64 (.f64 -1/18 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) (.f64 1/9 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))) (pow.f64 t 2)) (pow.f64 (cos.f64 y) 2)))
(+.f64 (.f64 t (+.f64 (.f64 1/3 (.f64 z (.f64 (cos.f64 y) (sin.f64 y)))) (.f64 1/3 (.f64 (cos.f64 y) (.f64 z (sin.f64 y)))))) (+.f64 (.f64 (+.f64 (.f64 -1/18 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) (.f64 1/9 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))) (pow.f64 t 2)) (+.f64 (.f64 (pow.f64 t 3) (+.f64 (.f64 -1/162 (.f64 (cos.f64 y) (.f64 (pow.f64 z 3) (sin.f64 y)))) (+.f64 (.f64 -1/162 (.f64 (pow.f64 z 3) (.f64 (cos.f64 y) (sin.f64 y)))) (.f64 -1/27 (.f64 (pow.f64 z 3) (.f64 (cos.f64 y) (sin.f64 y))))))) (pow.f64 (cos.f64 y) 2))))
(pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 2)
(pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 2)
(pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 2)
(pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 2)
(pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 2)
(pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 2)
(pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 2)
(pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 2)
(pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2)
(+.f64 (.f64 -2 (.f64 y (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (sin.f64 (.f64 -1/3 (.f64 t z)))))) (pow.f64 (cos.f64 (.f64 -1/3 (*.f64 t z))) 2))
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2)) (pow.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) 2))) (+.f64 (.f64 -2 (.f64 y (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (sin.f64 (.f64 -1/3 (.f64 t z)))))) (pow.f64 (cos.f64 (.f64 -1/3 (*.f64 t z))) 2)))
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2)) (pow.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) 2))) (+.f64 (.f64 -2 (.f64 y (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (sin.f64 (.f64 -1/3 (.f64 t z)))))) (+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 1/3 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (sin.f64 (.f64 -1/3 (.f64 t z))))) (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (sin.f64 (.f64 -1/3 (.f64 t z)))))) (pow.f64 (cos.f64 (.f64 -1/3 (*.f64 t z))) 2))))
(pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 2)
(pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 2)
(pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 2)
(pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 2)
(pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 2)
(pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 2)
(pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 2)
(pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 2)
(.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)))))
(fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (cos.f64 y))
(fma.f64 1/3 (.f64 (sin.f64 y) (.f64 t z)) (cos.f64 y))
(+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))))
(+.f64 (cos.f64 y) (fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (.f64 -1/18 (.f64 (.f64 (.f64 t t) (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 -1/18 (.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 -1/18 (.f64 t t)) (.f64 (cos.f64 y) (.f64 z z)) (fma.f64 1/3 (.f64 (sin.f64 y) (.f64 t z)) (cos.f64 y)))
(+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y)))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(fma.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (sin.f64 y) (pow.f64 z 3))) (+.f64 (cos.f64 y) (fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (.f64 -1/18 (.f64 (.f64 (.f64 t t) (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 (.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))))
(+.f64 (fma.f64 -1/18 (.f64 (cos.f64 y) (.f64 (.f64 t z) (.f64 t 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)))))
(+.f64 (fma.f64 (.f64 -1/18 (.f64 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)))))
(fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (cos.f64 y))
(fma.f64 1/3 (.f64 (sin.f64 y) (.f64 t z)) (cos.f64 y))
(+.f64 (cos.f64 y) (+.f64 (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (pow.f64 z 2) (cos.f64 y))))))
(+.f64 (cos.f64 y) (fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (.f64 -1/18 (.f64 (.f64 (.f64 t t) (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 -1/18 (.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 -1/18 (.f64 t t)) (.f64 (cos.f64 y) (.f64 z z)) (fma.f64 1/3 (.f64 (sin.f64 y) (.f64 t z)) (cos.f64 y)))
(+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y)))) (+.f64 (cos.f64 y) (+.f64 (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 -1/18 (.f64 (pow.f64 t 2) (*.f64 (pow.f64 z 2) (cos.f64 y)))))))
(fma.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (sin.f64 y) (pow.f64 z 3))) (+.f64 (cos.f64 y) (fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (.f64 -1/18 (.f64 (.f64 (.f64 t t) (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 (.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))))
(+.f64 (fma.f64 -1/18 (.f64 (cos.f64 y) (.f64 (.f64 t z) (.f64 t 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)))))
(+.f64 (fma.f64 (.f64 -1/18 (.f64 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)))
(cos.f64 (.f64 z (.f64 t -1/3)))
(+.f64 (.f64 -1 (.f64 y (sin.f64 (.f64 -1/3 (.f64 t z))))) (cos.f64 (.f64 -1/3 (.f64 t z))))
(fma.f64 -1 (.f64 y (sin.f64 (.f64 (.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 (cos.f64 (.f64 z (.f64 t -1/3))) (.f64 y (sin.f64 (.f64 z (*.f64 t -1/3)))))
(+.f64 (.f64 -1 (.f64 y (sin.f64 (.f64 -1/3 (.f64 t z))))) (+.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (.f64 -1/2 (.f64 (pow.f64 y 2) (cos.f64 (.f64 -1/3 (.f64 t z)))))))
(fma.f64 -1 (.f64 y (sin.f64 (.f64 (.f64 t z) -1/3))) (+.f64 (cos.f64 (.f64 (.f64 t z) -1/3)) (.f64 -1/2 (.f64 (cos.f64 (.f64 (.f64 t z) -1/3)) (.f64 y y)))))
(-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 y y)) 1) (cos.f64 (.f64 t (.f64 z -1/3)))) (.f64 y (sin.f64 (.f64 t (.f64 z -1/3)))))
(-.f64 (.f64 (+.f64 1 (.f64 -1/2 (.f64 y y))) (cos.f64 (.f64 z (.f64 t -1/3)))) (.f64 y (sin.f64 (.f64 z (.f64 t -1/3)))))
(-.f64 (.f64 (+.f64 1 (.f64 -1/2 (.f64 y y))) (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 (.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 -1/2 (.f64 (cos.f64 (.f64 (.f64 t z) -1/3)) (*.f64 y y)))))
(+.f64 (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 y y)) 1) (cos.f64 (.f64 t (.f64 z -1/3)))) (.f64 y (sin.f64 (.f64 t (.f64 z -1/3))))) (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (.f64 1/6 (pow.f64 y 3))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (.f64 y y))) (cos.f64 (.f64 z (.f64 t -1/3)))) (-.f64 (.f64 (sin.f64 (.f64 z (.f64 t -1/3))) (.f64 1/6 (pow.f64 y 3))) (.f64 y (sin.f64 (.f64 z (.f64 t -1/3))))))
(-.f64 (.f64 (+.f64 1 (.f64 -1/2 (.f64 y y))) (cos.f64 (.f64 t (.f64 z -1/3)))) (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (-.f64 y (*.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))
(pow.f64 (cos.f64 y) 2)
(+.f64 (pow.f64 (cos.f64 y) 2) (.f64 2/3 (.f64 t (.f64 (cos.f64 y) (.f64 z (sin.f64 y))))))
(fma.f64 2/3 (.f64 (.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) t)) (pow.f64 (cos.f64 y) 2))
(.f64 (cos.f64 y) (+.f64 (cos.f64 y) (.f64 (.f64 t (.f64 z (sin.f64 y))) 2/3)))
(.f64 (cos.f64 y) (+.f64 (cos.f64 y) (.f64 (.f64 (sin.f64 y) (.f64 t z)) 2/3)))
(+.f64 (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 t 2) (pow.f64 (sin.f64 y) 2))) (.f64 -1/9 (.f64 (pow.f64 t 2) (pow.f64 (cos.f64 y) 2)))) (pow.f64 z 2)) (+.f64 (pow.f64 (cos.f64 y) 2) (.f64 2/3 (.f64 t (.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(fma.f64 (fma.f64 1/9 (.f64 (.f64 t t) (pow.f64 (sin.f64 y) 2)) (.f64 -1/9 (.f64 (.f64 t t) (pow.f64 (cos.f64 y) 2)))) (.f64 z z) (+.f64 (pow.f64 (cos.f64 y) 2) (.f64 2/3 (.f64 t (.f64 (cos.f64 y) (.f64 z (sin.f64 y)))))))
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(.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 (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 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)) (.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 (cos.f64 y) 2) (.f64 (.f64 t 2/3) (*.f64 z (sin.f64 y)))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 (cos.f64 y) 2) (.f64 (.f64 t (*.f64 z (sin.f64 y))) 2/3)))
(.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 (sin.f64 y) (.f64 t z)) 2/3) (*.f64 (cos.f64 y) 2)))
(+.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 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)) (fma.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 -1/9 (.f64 (.f64 (.f64 (.f64 t t) (cos.f64 y)) (.f64 z z)) (sqrt.f64 x)))))
(fma.f64 2/3 (.f64 t (.f64 z (.f64 (sin.f64 y) (sqrt.f64 x)))) (.f64 (sqrt.f64 x) (+.f64 (.f64 (cos.f64 y) 2) (.f64 (.f64 (.f64 t t) -1/9) (.f64 (cos.f64 y) (.f64 z z))))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 t (.f64 z (sin.f64 y))) 2/3) (.f64 (cos.f64 y) (+.f64 (.f64 -1/9 (.f64 (.f64 t z) (*.f64 t z))) 2))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 (sin.f64 y) (.f64 t z)) 2/3) (.f64 (cos.f64 y) (+.f64 (.f64 -1/9 (.f64 (.f64 t z) (*.f64 t z))) 2))))
(+.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 (.f64 (pow.f64 t 3) (.f64 (sin.f64 y) (pow.f64 z 3))) (sqrt.f64 x)) (fma.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)) (fma.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 -1/9 (.f64 (.f64 (.f64 (.f64 t t) (cos.f64 y)) (*.f64 z z)) (sqrt.f64 x))))))
(+.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (cos.f64 y) 2) (.f64 (.f64 (.f64 t t) -1/9) (.f64 (cos.f64 y) (.f64 z z))))) (.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 (pow.f64 t 3) -1/81) (.f64 (sin.f64 y) (pow.f64 z 3))) (.f64 (.f64 t 2/3) (.f64 z (sin.f64 y))))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 (cos.f64 y) (+.f64 (.f64 -1/9 (.f64 (.f64 t z) (.f64 t z))) 2)) (.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 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 2 (.f64 (cos.f64 (.f64 (.f64 t z) -1/3)) (sqrt.f64 x)))
(.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (.f64 (sqrt.f64 x) 2))
(.f64 2 (.f64 (cos.f64 (.f64 z (.f64 t -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 y -2) (sin.f64 (.f64 t (.f64 z -1/3))))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 y (sin.f64 (.f64 z (.f64 t -1/3)))) -2) (.f64 2 (cos.f64 (.f64 z (.f64 t -1/3))))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 y -2) (sin.f64 (.f64 t (.f64 z -1/3)))) (.f64 2 (cos.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 y -2) (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 y (sin.f64 (.f64 z (.f64 t -1/3)))) -2) (.f64 (cos.f64 (.f64 z (.f64 t -1/3))) (+.f64 (neg.f64 (*.f64 y y)) 2))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 y -2) (sin.f64 (.f64 t (.f64 z -1/3)))) (.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (+.f64 (*.f64 y (neg.f64 y)) 2))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 y -2) (sin.f64 (.f64 t (.f64 z -1/3)))) (.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (-.f64 2 (*.f64 y y)))))
(+.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 y -2) (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 z (.f64 t -1/3))) (+.f64 (neg.f64 (.f64 y y)) 2))) (.f64 (.f64 (sin.f64 (.f64 z (.f64 t -1/3))) (sqrt.f64 x)) (+.f64 (.f64 y -2) (*.f64 1/3 (pow.f64 y 3)))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (+.f64 (.f64 y (neg.f64 y)) 2)) (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (+.f64 (.f64 y -2) (.f64 1/3 (pow.f64 y 3))))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (-.f64 2 (.f64 y y))) (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (+.f64 (.f64 y -2) (.f64 1/3 (pow.f64 y 3))))))
(.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)))

localize63.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 t -1/3)
	0.3b	(*.f64 a -1/3)
✓	0.4b	(pow.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) 2)
	25.1b	(cos.f64 (fma.f64 z (*.f64 t -1/3) y))

Compiler

Compiled 91 to 58 computations (36.3% saved)

series6.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite67.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

877×	`pow1_binary64`
806×	`add-log-exp_binary64`
806×	`log1p-expm1-u_binary64`
806×	`expm1-log1p-u_binary64`
788×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	202	13
2	2211	13

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

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

Outputs

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

simplify91.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

961×	`fma-def_binary64`
724×	`distribute-rgt-out_binary64`
458×	`*-commutative_binary64`
444×	`+-commutative_binary64`
397×	`fma-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	99	954
1	337	908
2	1339	830
3	4319	817
4	6373	814

Stop Event

1×	node limit

Counts

54 → 40

Calls

Call 1

Inputs
(pow.f64 (cos.f64 y) 2)
(+.f64 (pow.f64 (cos.f64 y) 2) (.f64 2/3 (.f64 t (.f64 (cos.f64 y) (.f64 z (sin.f64 y))))))
(+.f64 (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 t 2) (pow.f64 (sin.f64 y) 2))) (.f64 -1/9 (.f64 (pow.f64 t 2) (pow.f64 (cos.f64 y) 2)))) (pow.f64 z 2)) (+.f64 (pow.f64 (cos.f64 y) 2) (.f64 2/3 (.f64 t (.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(+.f64 (.f64 (pow.f64 z 3) (+.f64 (.f64 -1/27 (.f64 (pow.f64 t 3) (.f64 (cos.f64 y) (sin.f64 y)))) (.f64 -1/81 (.f64 (pow.f64 t 3) (.f64 (cos.f64 y) (sin.f64 y)))))) (+.f64 (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 t 2) (pow.f64 (sin.f64 y) 2))) (.f64 -1/9 (.f64 (pow.f64 t 2) (pow.f64 (cos.f64 y) 2)))) (pow.f64 z 2)) (+.f64 (pow.f64 (cos.f64 y) 2) (.f64 2/3 (.f64 t (.f64 (cos.f64 y) (.f64 z (sin.f64 y))))))))
(pow.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) 2)
(pow.f64 (cos.f64 y) 2)
(+.f64 (.f64 t (+.f64 (.f64 1/3 (.f64 z (.f64 (cos.f64 y) (sin.f64 y)))) (.f64 1/3 (.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) (pow.f64 (cos.f64 y) 2))
(+.f64 (.f64 t (+.f64 (.f64 1/3 (.f64 z (.f64 (cos.f64 y) (sin.f64 y)))) (.f64 1/3 (.f64 (cos.f64 y) (.f64 z (sin.f64 y)))))) (+.f64 (.f64 (+.f64 (.f64 -1/18 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) (.f64 1/9 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))) (pow.f64 t 2)) (pow.f64 (cos.f64 y) 2)))
(+.f64 (.f64 t (+.f64 (.f64 1/3 (.f64 z (.f64 (cos.f64 y) (sin.f64 y)))) (.f64 1/3 (.f64 (cos.f64 y) (.f64 z (sin.f64 y)))))) (+.f64 (.f64 (+.f64 (.f64 -1/18 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) (.f64 1/9 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))) (pow.f64 t 2)) (+.f64 (.f64 (pow.f64 t 3) (+.f64 (.f64 -1/162 (.f64 (cos.f64 y) (.f64 (pow.f64 z 3) (sin.f64 y)))) (+.f64 (.f64 -1/162 (.f64 (pow.f64 z 3) (.f64 (cos.f64 y) (sin.f64 y)))) (.f64 -1/27 (.f64 (pow.f64 z 3) (.f64 (cos.f64 y) (sin.f64 y))))))) (pow.f64 (cos.f64 y) 2))))
(pow.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) 2)
(pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2)
(+.f64 (.f64 -2 (.f64 y (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (sin.f64 (.f64 -1/3 (.f64 t z)))))) (pow.f64 (cos.f64 (.f64 -1/3 (*.f64 t z))) 2))
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2)) (pow.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) 2))) (+.f64 (.f64 -2 (.f64 y (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (sin.f64 (.f64 -1/3 (.f64 t z)))))) (pow.f64 (cos.f64 (.f64 -1/3 (*.f64 t z))) 2)))
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2)) (pow.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) 2))) (+.f64 (.f64 -2 (.f64 y (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (sin.f64 (.f64 -1/3 (.f64 t z)))))) (+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 1/3 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (sin.f64 (.f64 -1/3 (.f64 t z))))) (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (sin.f64 (.f64 -1/3 (.f64 t z)))))) (pow.f64 (cos.f64 (.f64 -1/3 (*.f64 t z))) 2))))
(pow.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) 2)

Outputs
(pow.f64 (cos.f64 y) 2)
(+.f64 (pow.f64 (cos.f64 y) 2) (.f64 2/3 (.f64 t (.f64 (cos.f64 y) (.f64 z (sin.f64 y))))))
(+.f64 (pow.f64 (cos.f64 y) 2) (.f64 (.f64 2/3 t) (.f64 (cos.f64 y) (.f64 z (sin.f64 y)))))
(fma.f64 2/3 (.f64 t (.f64 z (*.f64 (cos.f64 y) (sin.f64 y)))) (pow.f64 (cos.f64 y) 2))
(.f64 (cos.f64 y) (+.f64 (cos.f64 y) (.f64 (.f64 z (sin.f64 y)) (.f64 2/3 t))))
(+.f64 (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 t 2) (pow.f64 (sin.f64 y) 2))) (.f64 -1/9 (.f64 (pow.f64 t 2) (pow.f64 (cos.f64 y) 2)))) (pow.f64 z 2)) (+.f64 (pow.f64 (cos.f64 y) 2) (.f64 2/3 (.f64 t (.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(fma.f64 (fma.f64 1/9 (.f64 (.f64 t t) (pow.f64 (sin.f64 y) 2)) (.f64 -1/9 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 t t)))) (.f64 z z) (+.f64 (pow.f64 (cos.f64 y) 2) (.f64 (.f64 2/3 t) (.f64 (cos.f64 y) (.f64 z (sin.f64 y))))))
(fma.f64 (fma.f64 1/9 (.f64 t (.f64 t (pow.f64 (sin.f64 y) 2))) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (.f64 t t) -1/9))) (.f64 z z) (fma.f64 2/3 (.f64 t (.f64 z (*.f64 (cos.f64 y) (sin.f64 y)))) (pow.f64 (cos.f64 y) 2)))
(fma.f64 z (.f64 z (.f64 (.f64 t t) (+.f64 (.f64 1/9 (pow.f64 (sin.f64 y) 2)) (.f64 (pow.f64 (cos.f64 y) 2) -1/9)))) (.f64 (cos.f64 y) (+.f64 (cos.f64 y) (.f64 (.f64 z (sin.f64 y)) (*.f64 2/3 t)))))
(fma.f64 z (.f64 z (.f64 (.f64 t t) (+.f64 (.f64 (pow.f64 (cos.f64 y) 2) -1/9) (.f64 1/9 (pow.f64 (sin.f64 y) 2))))) (.f64 (cos.f64 y) (+.f64 (cos.f64 y) (.f64 (.f64 z (sin.f64 y)) (*.f64 2/3 t)))))
(+.f64 (.f64 (pow.f64 z 3) (+.f64 (.f64 -1/27 (.f64 (pow.f64 t 3) (.f64 (cos.f64 y) (sin.f64 y)))) (.f64 -1/81 (.f64 (pow.f64 t 3) (.f64 (cos.f64 y) (sin.f64 y)))))) (+.f64 (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 t 2) (pow.f64 (sin.f64 y) 2))) (.f64 -1/9 (.f64 (pow.f64 t 2) (pow.f64 (cos.f64 y) 2)))) (pow.f64 z 2)) (+.f64 (pow.f64 (cos.f64 y) 2) (.f64 2/3 (.f64 t (.f64 (cos.f64 y) (.f64 z (sin.f64 y))))))))
(fma.f64 (pow.f64 z 3) (.f64 (.f64 (pow.f64 t 3) (.f64 (cos.f64 y) (sin.f64 y))) -4/81) (fma.f64 (fma.f64 1/9 (.f64 (.f64 t t) (pow.f64 (sin.f64 y) 2)) (.f64 -1/9 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 t t)))) (.f64 z z) (+.f64 (pow.f64 (cos.f64 y) 2) (.f64 (.f64 2/3 t) (.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(fma.f64 (pow.f64 z 3) (.f64 (pow.f64 t 3) (.f64 (.f64 (cos.f64 y) (sin.f64 y)) -4/81)) (fma.f64 (fma.f64 1/9 (.f64 t (.f64 t (pow.f64 (sin.f64 y) 2))) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (.f64 t t) -1/9))) (.f64 z z) (fma.f64 2/3 (.f64 t (.f64 z (.f64 (cos.f64 y) (sin.f64 y)))) (pow.f64 (cos.f64 y) 2))))
(fma.f64 z (.f64 z (.f64 (.f64 t t) (+.f64 (.f64 1/9 (pow.f64 (sin.f64 y) 2)) (.f64 (pow.f64 (cos.f64 y) 2) -1/9)))) (fma.f64 (pow.f64 z 3) (.f64 (pow.f64 t 3) (.f64 (.f64 (cos.f64 y) (sin.f64 y)) -4/81)) (.f64 (cos.f64 y) (+.f64 (cos.f64 y) (.f64 (.f64 z (sin.f64 y)) (.f64 2/3 t))))))
(+.f64 (fma.f64 z (.f64 z (.f64 (.f64 t t) (+.f64 (.f64 (pow.f64 (cos.f64 y) 2) -1/9) (.f64 1/9 (pow.f64 (sin.f64 y) 2))))) (pow.f64 (cos.f64 y) 2)) (.f64 (.f64 (cos.f64 y) (sin.f64 y)) (+.f64 (.f64 (pow.f64 z 3) (.f64 (pow.f64 t 3) -4/81)) (.f64 t (*.f64 z 2/3)))))
(+.f64 (fma.f64 (.f64 (.f64 t t) (+.f64 (.f64 (pow.f64 (cos.f64 y) 2) -1/9) (.f64 1/9 (pow.f64 (sin.f64 y) 2)))) (.f64 z z) (pow.f64 (cos.f64 y) 2)) (.f64 (.f64 (cos.f64 y) (sin.f64 y)) (+.f64 (.f64 (pow.f64 z 3) (.f64 (pow.f64 t 3) -4/81)) (.f64 t (*.f64 z 2/3)))))
(pow.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) 2)
(pow.f64 (cos.f64 (fma.f64 t (*.f64 z -1/3) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) 2)
(pow.f64 (cos.f64 (fma.f64 t (*.f64 z -1/3) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) 2)
(pow.f64 (cos.f64 (fma.f64 t (*.f64 z -1/3) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) 2)
(pow.f64 (cos.f64 (fma.f64 t (*.f64 z -1/3) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) 2)
(pow.f64 (cos.f64 (fma.f64 t (*.f64 z -1/3) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) 2)
(pow.f64 (cos.f64 (fma.f64 t (*.f64 z -1/3) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) 2)
(pow.f64 (cos.f64 (fma.f64 t (*.f64 z -1/3) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) 2)
(pow.f64 (cos.f64 (fma.f64 t (*.f64 z -1/3) y)) 2)
(pow.f64 (cos.f64 y) 2)
(+.f64 (.f64 t (+.f64 (.f64 1/3 (.f64 z (.f64 (cos.f64 y) (sin.f64 y)))) (.f64 1/3 (.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) (pow.f64 (cos.f64 y) 2))
(+.f64 (pow.f64 (cos.f64 y) 2) (.f64 (.f64 2/3 t) (.f64 (cos.f64 y) (.f64 z (sin.f64 y)))))
(fma.f64 2/3 (.f64 t (.f64 z (*.f64 (cos.f64 y) (sin.f64 y)))) (pow.f64 (cos.f64 y) 2))
(.f64 (cos.f64 y) (+.f64 (cos.f64 y) (.f64 (.f64 z (sin.f64 y)) (.f64 2/3 t))))
(+.f64 (.f64 t (+.f64 (.f64 1/3 (.f64 z (.f64 (cos.f64 y) (sin.f64 y)))) (.f64 1/3 (.f64 (cos.f64 y) (.f64 z (sin.f64 y)))))) (+.f64 (.f64 (+.f64 (.f64 -1/18 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) (.f64 1/9 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))) (pow.f64 t 2)) (pow.f64 (cos.f64 y) 2)))
(fma.f64 t (.f64 1/3 (+.f64 (.f64 z (.f64 (cos.f64 y) (sin.f64 y))) (.f64 (cos.f64 y) (.f64 z (sin.f64 y))))) (fma.f64 (fma.f64 -1/18 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 z z)) (fma.f64 -1/18 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 z z)) (.f64 (.f64 1/9 (.f64 z z)) (pow.f64 (sin.f64 y) 2)))) (*.f64 t t) (pow.f64 (cos.f64 y) 2)))
(fma.f64 t (.f64 1/3 (.f64 (sin.f64 y) (+.f64 (.f64 (cos.f64 y) z) (.f64 (cos.f64 y) z)))) (fma.f64 (.f64 t t) (+.f64 (.f64 1/9 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 z z))) (.f64 (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) -1/9)) (pow.f64 (cos.f64 y) 2)))
(fma.f64 t (.f64 t (.f64 (.f64 z z) (+.f64 (.f64 1/9 (pow.f64 (sin.f64 y) 2)) (.f64 (pow.f64 (cos.f64 y) 2) -1/9)))) (.f64 (cos.f64 y) (+.f64 (cos.f64 y) (.f64 (.f64 z (sin.f64 y)) (*.f64 2/3 t)))))
(fma.f64 t (.f64 t (.f64 (.f64 z z) (+.f64 (.f64 (pow.f64 (cos.f64 y) 2) -1/9) (.f64 1/9 (pow.f64 (sin.f64 y) 2))))) (.f64 (cos.f64 y) (+.f64 (cos.f64 y) (.f64 (.f64 z (sin.f64 y)) (*.f64 2/3 t)))))
(+.f64 (.f64 t (+.f64 (.f64 1/3 (.f64 z (.f64 (cos.f64 y) (sin.f64 y)))) (.f64 1/3 (.f64 (cos.f64 y) (.f64 z (sin.f64 y)))))) (+.f64 (.f64 (+.f64 (.f64 -1/18 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) (.f64 1/9 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))) (pow.f64 t 2)) (+.f64 (.f64 (pow.f64 t 3) (+.f64 (.f64 -1/162 (.f64 (cos.f64 y) (.f64 (pow.f64 z 3) (sin.f64 y)))) (+.f64 (.f64 -1/162 (.f64 (pow.f64 z 3) (.f64 (cos.f64 y) (sin.f64 y)))) (.f64 -1/27 (.f64 (pow.f64 z 3) (.f64 (cos.f64 y) (sin.f64 y))))))) (pow.f64 (cos.f64 y) 2))))
(fma.f64 t (.f64 1/3 (+.f64 (.f64 z (.f64 (cos.f64 y) (sin.f64 y))) (.f64 (cos.f64 y) (.f64 z (sin.f64 y))))) (fma.f64 (fma.f64 -1/18 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 z z)) (fma.f64 -1/18 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 z z)) (.f64 (.f64 1/9 (.f64 z z)) (pow.f64 (sin.f64 y) 2)))) (.f64 t t) (fma.f64 (pow.f64 t 3) (fma.f64 -1/162 (.f64 (cos.f64 y) (.f64 (sin.f64 y) (pow.f64 z 3))) (.f64 (.f64 (pow.f64 z 3) (.f64 (cos.f64 y) (sin.f64 y))) -7/162)) (pow.f64 (cos.f64 y) 2))))
(fma.f64 t (.f64 1/3 (.f64 (sin.f64 y) (+.f64 (.f64 (cos.f64 y) z) (.f64 (cos.f64 y) z)))) (fma.f64 (.f64 t t) (+.f64 (.f64 1/9 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 z z))) (.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 z z)) -1/9)) (fma.f64 (pow.f64 t 3) (fma.f64 -1/162 (.f64 (pow.f64 z 3) (.f64 (cos.f64 y) (sin.f64 y))) (.f64 (pow.f64 z 3) (.f64 (.f64 (cos.f64 y) (sin.f64 y)) -7/162))) (pow.f64 (cos.f64 y) 2))))
(fma.f64 (.f64 t t) (.f64 (.f64 z z) (+.f64 (.f64 1/9 (pow.f64 (sin.f64 y) 2)) (.f64 (pow.f64 (cos.f64 y) 2) -1/9))) (fma.f64 t (.f64 2/3 (.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) (fma.f64 (pow.f64 t 3) (.f64 (.f64 (sin.f64 y) (*.f64 (cos.f64 y) (pow.f64 z 3))) -4/81) (pow.f64 (cos.f64 y) 2))))
(+.f64 (fma.f64 t (.f64 t (.f64 (.f64 z z) (+.f64 (.f64 (pow.f64 (cos.f64 y) 2) -1/9) (.f64 1/9 (pow.f64 (sin.f64 y) 2))))) (pow.f64 (cos.f64 y) 2)) (.f64 (.f64 (cos.f64 y) (sin.f64 y)) (+.f64 (.f64 (pow.f64 z 3) (.f64 (pow.f64 t 3) -4/81)) (.f64 t (*.f64 z 2/3)))))
(+.f64 (fma.f64 (.f64 t t) (.f64 (.f64 z z) (+.f64 (.f64 (pow.f64 (cos.f64 y) 2) -1/9) (.f64 1/9 (pow.f64 (sin.f64 y) 2)))) (pow.f64 (cos.f64 y) 2)) (.f64 (.f64 (cos.f64 y) (sin.f64 y)) (+.f64 (.f64 (pow.f64 z 3) (.f64 (pow.f64 t 3) -4/81)) (.f64 t (*.f64 z 2/3)))))
(pow.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) 2)
(pow.f64 (cos.f64 (fma.f64 t (*.f64 z -1/3) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) 2)
(pow.f64 (cos.f64 (fma.f64 t (*.f64 z -1/3) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) 2)
(pow.f64 (cos.f64 (fma.f64 t (*.f64 z -1/3) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) 2)
(pow.f64 (cos.f64 (fma.f64 t (*.f64 z -1/3) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) 2)
(pow.f64 (cos.f64 (fma.f64 t (*.f64 z -1/3) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) 2)
(pow.f64 (cos.f64 (fma.f64 t (*.f64 z -1/3) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) 2)
(pow.f64 (cos.f64 (fma.f64 t (*.f64 z -1/3) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) 2)
(pow.f64 (cos.f64 (fma.f64 t (*.f64 z -1/3) y)) 2)
(pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2)
(pow.f64 (cos.f64 (.f64 t (.f64 -1/3 z))) 2)
(pow.f64 (cos.f64 (.f64 t (.f64 z -1/3))) 2)
(+.f64 (.f64 -2 (.f64 y (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (sin.f64 (.f64 -1/3 (.f64 t z)))))) (pow.f64 (cos.f64 (.f64 -1/3 (*.f64 t z))) 2))
(fma.f64 -2 (.f64 y (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (sin.f64 (.f64 -1/3 (.f64 t z))))) (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2))
(fma.f64 -2 (.f64 y (.f64 (cos.f64 (.f64 t (.f64 -1/3 z))) (sin.f64 (.f64 t (.f64 -1/3 z))))) (pow.f64 (cos.f64 (.f64 t (.f64 -1/3 z))) 2))
(.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (+.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (*.f64 y -2))))
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2)) (pow.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) 2))) (+.f64 (.f64 -2 (.f64 y (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (sin.f64 (.f64 -1/3 (.f64 t z)))))) (pow.f64 (cos.f64 (.f64 -1/3 (*.f64 t z))) 2)))
(fma.f64 (.f64 y y) (fma.f64 -1 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2) (pow.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) 2)) (fma.f64 -2 (.f64 y (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (sin.f64 (.f64 -1/3 (.f64 t z))))) (pow.f64 (cos.f64 (.f64 -1/3 (*.f64 t z))) 2)))
(fma.f64 (.f64 y y) (-.f64 (pow.f64 (sin.f64 (.f64 t (.f64 -1/3 z))) 2) (pow.f64 (cos.f64 (.f64 t (.f64 -1/3 z))) 2)) (fma.f64 -2 (.f64 y (.f64 (cos.f64 (.f64 t (.f64 -1/3 z))) (sin.f64 (.f64 t (.f64 -1/3 z))))) (pow.f64 (cos.f64 (.f64 t (*.f64 -1/3 z))) 2)))
(fma.f64 y (.f64 y (-.f64 (pow.f64 (sin.f64 (.f64 t (.f64 z -1/3))) 2) (pow.f64 (cos.f64 (.f64 t (.f64 z -1/3))) 2))) (.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (+.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (.f64 y -2)))))
(+.f64 (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (+.f64 (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (.f64 y y)) (.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (.f64 y -2)))) (.f64 (+.f64 (.f64 y (neg.f64 y)) 1) (pow.f64 (cos.f64 (.f64 t (*.f64 z -1/3))) 2)))
(fma.f64 y (.f64 -2 (.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (sin.f64 (.f64 t (.f64 z -1/3))))) (fma.f64 y (.f64 y (pow.f64 (sin.f64 (.f64 t (.f64 z -1/3))) 2)) (.f64 (+.f64 (.f64 y (neg.f64 y)) 1) (pow.f64 (cos.f64 (.f64 t (*.f64 z -1/3))) 2))))
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2)) (pow.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) 2))) (+.f64 (.f64 -2 (.f64 y (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (sin.f64 (.f64 -1/3 (.f64 t z)))))) (+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 1/3 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (sin.f64 (.f64 -1/3 (.f64 t z))))) (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (sin.f64 (.f64 -1/3 (.f64 t z)))))) (pow.f64 (cos.f64 (.f64 -1/3 (*.f64 t z))) 2))))
(fma.f64 (.f64 y y) (fma.f64 -1 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2) (pow.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) 2)) (fma.f64 -2 (.f64 y (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (sin.f64 (.f64 -1/3 (.f64 t z))))) (fma.f64 (pow.f64 y 3) (.f64 4/3 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (sin.f64 (.f64 -1/3 (.f64 t z))))) (pow.f64 (cos.f64 (.f64 -1/3 (*.f64 t z))) 2))))
(fma.f64 (.f64 y y) (-.f64 (pow.f64 (sin.f64 (.f64 t (.f64 -1/3 z))) 2) (pow.f64 (cos.f64 (.f64 t (.f64 -1/3 z))) 2)) (fma.f64 -2 (.f64 y (.f64 (cos.f64 (.f64 t (.f64 -1/3 z))) (sin.f64 (.f64 t (.f64 -1/3 z))))) (fma.f64 (pow.f64 y 3) (.f64 (.f64 (cos.f64 (.f64 t (.f64 -1/3 z))) (sin.f64 (.f64 t (.f64 -1/3 z)))) 4/3) (pow.f64 (cos.f64 (.f64 t (*.f64 -1/3 z))) 2))))
(+.f64 (.f64 (.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (sin.f64 (.f64 t (.f64 z -1/3)))) (+.f64 (.f64 y -2) (.f64 (pow.f64 y 3) 4/3))) (fma.f64 y (.f64 y (-.f64 (pow.f64 (sin.f64 (.f64 t (.f64 z -1/3))) 2) (pow.f64 (cos.f64 (.f64 t (.f64 z -1/3))) 2))) (pow.f64 (cos.f64 (.f64 t (*.f64 z -1/3))) 2)))
(+.f64 (.f64 (.f64 y y) (pow.f64 (sin.f64 (.f64 t (.f64 z -1/3))) 2)) (+.f64 (.f64 (.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (sin.f64 (.f64 t (.f64 z -1/3)))) (+.f64 (.f64 y -2) (.f64 (pow.f64 y 3) 4/3))) (.f64 (+.f64 (.f64 y (neg.f64 y)) 1) (pow.f64 (cos.f64 (.f64 t (.f64 z -1/3))) 2))))
(+.f64 (.f64 (.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (sin.f64 (.f64 t (.f64 z -1/3)))) (+.f64 (.f64 y -2) (.f64 (pow.f64 y 3) 4/3))) (fma.f64 y (.f64 y (pow.f64 (sin.f64 (.f64 t (.f64 z -1/3))) 2)) (.f64 (+.f64 (.f64 y (neg.f64 y)) 1) (pow.f64 (cos.f64 (.f64 t (*.f64 z -1/3))) 2))))
(pow.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) 2)
(pow.f64 (cos.f64 (fma.f64 t (*.f64 z -1/3) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) 2)
(pow.f64 (cos.f64 (fma.f64 t (*.f64 z -1/3) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) 2)
(pow.f64 (cos.f64 (fma.f64 t (*.f64 z -1/3) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) 2)
(pow.f64 (cos.f64 (fma.f64 t (*.f64 z -1/3) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) 2)
(pow.f64 (cos.f64 (fma.f64 t (*.f64 z -1/3) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) 2)
(pow.f64 (cos.f64 (fma.f64 t (*.f64 z -1/3) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) 2)
(pow.f64 (cos.f64 (fma.f64 t (*.f64 z -1/3) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) 2)
(pow.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) 2)
(pow.f64 (cos.f64 (fma.f64 t (*.f64 z -1/3) y)) 2)

eval570.0ms (1.6%)

Compiler: Compiled 22526 to 13645 computations (39.4% saved)

prune426.0ms (1.2%)

Pruning

82 alts after pruning (81 fresh and 1 done)

	Pruned	Kept	Total
New	733	63	796
Fresh	34	18	52
Picked	1	0	1
Done	3	1	4
Total	771	82	853

Error

16.3b

Counts

853 → 82

Alt Table

Click to see full alt table

Status	Error	Program
	28.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 1/3 t))) 3))) (/.f64 a (*.f64 b 3)))
	37.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (sqrt.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))) 2)) (/.f64 a (.f64 b 3)))
	28.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (.f64 z (.f64 t -1/3))) 2))) (/.f64 a (*.f64 b 3)))
	24.5b	(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
	22.0b	(-.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)))
	26.0b	(fma.f64 (sqrt.f64 x) (.f64 2 (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 z (pow.f64 (cbrt.f64 (.f64 t -1/3)) 3) y)) 2))) (/.f64 (*.f64 a -1/3) b))
	37.4b	(fma.f64 (sqrt.f64 x) (.f64 2 (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2))) (/.f64 (expm1.f64 (log1p.f64 (*.f64 -1/3 a))) b))
	25.5b	(fma.f64 (sqrt.f64 x) (.f64 2 (sqrt.f64 (pow.f64 (-.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))) 2))) (/.f64 (.f64 a -1/3) b))
	23.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 a b) 1/3))
▶	27.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2))) (/.f64 a (*.f64 b 3)))
	28.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (.f64 z 1/3)))) (/.f64 a (*.f64 b 3)))
	30.2b	(/.f64 (-.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2)) (pow.f64 (.f64 a (neg.f64 (/.f64 1/3 b))) 2)) (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (neg.f64 (/.f64 1/3 b)))))
	40.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (pow.f64 (pow.f64 (.f64 z (.f64 1/3 t)) 3) 1/3))) (/.f64 a (*.f64 b 3)))
	28.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (expm1.f64 (log1p.f64 (cos.f64 (.f64 z (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
	22.7b	(fma.f64 (sqrt.f64 x) (.f64 2 (sqrt.f64 (pow.f64 (cos.f64 y) 2))) (/.f64 (.f64 a -1/3) b))
	47.6b	(-.f64 (.f64 (sqrt.f64 x) (.f64 z (.f64 (.f64 z (cos.f64 y)) (.f64 t (.f64 t -1/9))))) (/.f64 a (*.f64 b 3)))
	53.4b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 t -1/3))) 3)) y))) (/.f64 (.f64 a -1/3) b))
	22.6b	(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2))) (/.f64 a (*.f64 b 3)))
	28.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 (.f64 z (.f64 1/3 t))) 3))) (/.f64 a (*.f64 b 3)))
	28.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z)))) (/.f64 a (*.f64 b 3)))
	28.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (.f64 z (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
	28.0b	(fma.f64 (sqrt.f64 x) (.f64 2 (sqrt.f64 (pow.f64 (cos.f64 (.f64 t (.f64 z -1/3))) 2))) (/.f64 (.f64 a -1/3) b))
	24.8b	(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
	22.2b	(-.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)))
	53.5b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 t -1/3))) 1/3)) y))) (/.f64 (*.f64 a -1/3) b))
	25.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 z (.f64 t -1/3))) (cos.f64 y)) (.f64 (sin.f64 (.f64 z (.f64 t -1/3))) (sin.f64 y))) 2))) (/.f64 a (*.f64 b 3)))
	37.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (exp.f64 (log.f64 (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
	19.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))))) (/.f64 a (*.f64 b 3)))
	35.5b	(/.f64 (*.f64 -1/3 a) b)
	19.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1/3 b) a))
	19.8b	(fma.f64 (cbrt.f64 (.f64 x 4)) (.f64 (cbrt.f64 (.f64 2 (sqrt.f64 x))) (cos.f64 y)) (.f64 a (neg.f64 (/.f64 1/3 b))))
	28.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 z (.f64 1/3 t)))) 3)) (/.f64 a (*.f64 b 3)))
▶	35.7b	(*.f64 -1/3 (/.f64 a b))
	25.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (fma.f64 z (.f64 t -1/3) y))))))) (/.f64 a (.f64 b 3)))
	32.3b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 (sin.f64 y) (.f64 t z)) 2/3) (.f64 (cos.f64 y) (+.f64 (.f64 -1/9 (.f64 (.f64 t z) (.f64 t z))) 2)))) (/.f64 a (.f64 b 3)))
▶	19.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 y) 3))) (/.f64 a (*.f64 b 3)))
	35.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 y))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 y))) (sin.f64 1)))) (/.f64 a (*.f64 b 3)))
	22.8b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))) 3) (/.f64 a (.f64 b 3)))
	22.0b	(-.f64 (+.f64 (.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 2 (sqrt.f64 x))) (.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) (.f64 2 (sqrt.f64 x)))) (/.f64 a (*.f64 b 3)))
	26.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (+.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)))))) 2))) (/.f64 a (*.f64 b 3)))
	36.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (cbrt.f64 (pow.f64 (.f64 1/3 t) 3))))) (/.f64 a (*.f64 b 3)))
	26.5b	(-.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)))
	22.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (/.f64 (/.f64 3 z) t) -1)))) (/.f64 a (*.f64 b 3)))
	40.1b	(-.f64 (pow.f64 (pow.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))) 3) 1/3) (/.f64 a (.f64 b 3)))
	41.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (log.f64 (pow.f64 (exp.f64 1/3) t))))) (/.f64 a (.f64 b 3)))
	22.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) 3) (pow.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) 3)) (fma.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (-.f64 (.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))) (.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))))))) (/.f64 a (*.f64 b 3)))
▶	62.0b	(log.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))))
	40.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.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))) 2))) (/.f64 a (*.f64 b 3)))
	54.5b	(fma.f64 (sqrt.f64 x) (.f64 2 (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 z (exp.f64 (log.f64 (.f64 t -1/3))) y)) 2))) (/.f64 (*.f64 a -1/3) b))
	19.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 y)))) (/.f64 a (*.f64 b 3)))
	36.6b	(-.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)))
	39.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (sqrt.f64 (pow.f64 (/.f64 (/.f64 a 3) b) 2)))
	22.4b	(-.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)))
	37.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (sqrt.f64 (.f64 1/3 t)) 2)))) (/.f64 a (*.f64 b 3)))
	19.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1 b) (/.f64 a 3)))
	35.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (expm1.f64 (log1p.f64 (.f64 z (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
	28.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (cbrt.f64 (.f64 1/3 t)) 3)))) (/.f64 a (*.f64 b 3)))
	22.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))))) (/.f64 a (*.f64 b 3)))
	19.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 y)) 3)) (/.f64 a (*.f64 b 3)))
	19.8b	(fma.f64 (.f64 (cos.f64 y) (cbrt.f64 (.f64 x 4))) (cbrt.f64 (.f64 2 (sqrt.f64 x))) (.f64 a (neg.f64 (/.f64 1/3 b))))
▶	37.8b	(-.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))))) 3)) (/.f64 a (*.f64 b 3)))
	39.8b	(fma.f64 (sqrt.f64 x) (.f64 2 (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 z (-.f64 (exp.f64 (log1p.f64 (.f64 t -1/3))) 1) y)) 2))) (/.f64 (*.f64 a -1/3) b))
	32.9b	(-.f64 (exp.f64 (log.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) (/.f64 a (*.f64 b 3)))
	38.0b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (log.f64 (+.f64 1 (expm1.f64 (.f64 t -1/3)))) y))) (/.f64 (*.f64 a -1/3) b))
	39.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (pow.f64 (.f64 1/3 t) 3) 1/3)))) (/.f64 a (*.f64 b 3)))
	38.1b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) t))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) t)))) y))) (/.f64 (.f64 a -1/3) b))
	22.0b	(-.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)))
	30.5b	(-.f64 (expm1.f64 (log1p.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))))) (/.f64 a (.f64 b 3)))
	34.8b	(pow.f64 (sqrt.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))) 2)
	38.9b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 y -2) (sin.f64 (.f64 t (.f64 z -1/3)))) (.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (-.f64 2 (.f64 y y))))) (/.f64 a (.f64 b 3)))
✓	28.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 1/3 t)))) (/.f64 a (*.f64 b 3)))
	39.9b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 2 (.f64 (.f64 t z) (+.f64 (.f64 2/3 y) (.f64 t (.f64 z -1/9)))))) (/.f64 a (*.f64 b 3)))
	20.2b	(pow.f64 (cbrt.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))) 3)
	26.2b	(-.f64 (expm1.f64 (log1p.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) (/.f64 a (*.f64 b 3)))
	28.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (-.f64 (+.f64 1 (.f64 1/3 t)) 1)))) (/.f64 a (*.f64 b 3)))
	37.2b	(-.f64 (.f64 (sqrt.f64 x) (fma.f64 (neg.f64 y) y 2)) (/.f64 a (.f64 b 3)))
	44.6b	(fma.f64 (sqrt.f64 x) (.f64 2 (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 z (pow.f64 (pow.f64 (.f64 t -1/3) 3) 1/3) y)) 2))) (/.f64 (*.f64 a -1/3) b))
	31.8b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 y -2) (sin.f64 (.f64 t (.f64 z -1/3)))) (.f64 2 (cos.f64 (.f64 t (.f64 z -1/3)))))) (/.f64 a (*.f64 b 3)))
	26.0b	(-.f64 (cbrt.f64 (.f64 8 (pow.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) 3))) (/.f64 a (*.f64 b 3)))
	48.7b	(pow.f64 (pow.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 3) 1/3)
	44.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (pow.f64 (sqrt.f64 (.f64 z (.f64 1/3 t))) 2))) (/.f64 a (*.f64 b 3)))
	22.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 z 3) t)))) (/.f64 a (.f64 b 3)))

Compiler

Compiled 4635 to 3586 computations (22.6% saved)

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 y) 3)))
	0.2b	(/.f64 a (*.f64 b 3))
✓	0.3b	(cbrt.f64 (pow.f64 (cos.f64 y) 3))
✓	0.4b	(pow.f64 (cos.f64 y) 3)

Compiler

Compiled 63 to 38 computations (39.7% saved)

series5.0ms (0%)

Counts

3 → 28

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(pow.f64 (cos.f64 y) 3)
1.0ms	y	@	-inf	(pow.f64 (cos.f64 y) 3)
1.0ms	y	@	0	(pow.f64 (cos.f64 y) 3)
0.0ms	x	@	-inf	(.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 y) 3)))
0.0ms	x	@	0	(.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 y) 3)))

rewrite119.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

876×	`pow1_binary64`
816×	`add-log-exp_binary64`
815×	`log1p-expm1-u_binary64`
815×	`expm1-log1p-u_binary64`
795×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	228	20
2	2325	20

Stop Event

1×	node limit

Counts

3 → 52

Calls

Call 1

Inputs
(pow.f64 (cos.f64 y) 3)
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 y) 3)))

Outputs

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

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

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

simplify88.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

887×	`fma-def_binary64`
737×	`fma-neg_binary64`
669×	`cancel-sign-sub-inv_binary64`
606×	`associate-l_binary64`
583×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	312
1	119	295
2	319	269
3	1048	267
4	4355	267

Stop Event

1×	node limit

Counts

80 → 74

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -3/2 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 7/8 (pow.f64 y 4)) (.f64 -3/2 (pow.f64 y 2))))
(+.f64 1 (+.f64 (.f64 -61/240 (pow.f64 y 6)) (+.f64 (.f64 7/8 (pow.f64 y 4)) (*.f64 -3/2 (pow.f64 y 2)))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4))))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(*.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)))

Outputs
1
(+.f64 1 (*.f64 -3/2 (pow.f64 y 2)))
(+.f64 1 (.f64 -3/2 (.f64 y y)))
(fma.f64 -3/2 (*.f64 y y) 1)
(fma.f64 y (*.f64 -3/2 y) 1)
(+.f64 1 (+.f64 (.f64 7/8 (pow.f64 y 4)) (.f64 -3/2 (pow.f64 y 2))))
(+.f64 1 (fma.f64 7/8 (pow.f64 y 4) (.f64 -3/2 (.f64 y y))))
(+.f64 (fma.f64 -3/2 (.f64 y y) 1) (.f64 7/8 (pow.f64 y 4)))
(fma.f64 -3/2 (*.f64 y y) (fma.f64 7/8 (pow.f64 y 4) 1))
(+.f64 1 (+.f64 (.f64 -61/240 (pow.f64 y 6)) (+.f64 (.f64 7/8 (pow.f64 y 4)) (*.f64 -3/2 (pow.f64 y 2)))))
(+.f64 1 (fma.f64 -61/240 (pow.f64 y 6) (fma.f64 7/8 (pow.f64 y 4) (.f64 -3/2 (.f64 y y)))))
(+.f64 1 (fma.f64 -61/240 (pow.f64 y 6) (fma.f64 -3/2 (.f64 y y) (.f64 7/8 (pow.f64 y 4)))))
(fma.f64 -61/240 (pow.f64 y 6) (fma.f64 -3/2 (*.f64 y y) (fma.f64 7/8 (pow.f64 y 4) 1)))
(fma.f64 -3/2 (*.f64 y y) (fma.f64 -61/240 (pow.f64 y 6) (fma.f64 7/8 (pow.f64 y 4) 1)))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (.f64 (.f64 y y) -1/2))
(fma.f64 (*.f64 y y) -1/2 1)
(fma.f64 y (*.f64 y -1/2) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/2 (.f64 y y) (.f64 (pow.f64 y 4) 1/24)))
(+.f64 1 (fma.f64 (.f64 y y) -1/2 (.f64 (pow.f64 y 4) 1/24)))
(fma.f64 y (*.f64 y -1/2) (fma.f64 (pow.f64 y 4) 1/24 1))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/2 (.f64 y y) (.f64 (pow.f64 y 4) 1/24))))
(+.f64 (fma.f64 (.f64 y y) -1/2 (.f64 (pow.f64 y 4) 1/24)) (fma.f64 (pow.f64 y 6) -1/720 1))
(fma.f64 (pow.f64 y 6) -1/720 (fma.f64 y (*.f64 y -1/2) (fma.f64 (pow.f64 y 4) 1/24 1)))
(fma.f64 y (*.f64 y -1/2) (fma.f64 (pow.f64 y 4) 1/24 (fma.f64 (pow.f64 y 6) -1/720 1)))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(*.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 (.f64 y y) (sqrt.f64 x)) (*.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 (sqrt.f64 x) (fma.f64 y (neg.f64 y) 2))
(+.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 (.f64 y y) (sqrt.f64 x)) (fma.f64 1/12 (.f64 (pow.f64 y 4) (sqrt.f64 x)) (.f64 2 (sqrt.f64 x))))
(-.f64 (.f64 (sqrt.f64 x) (+.f64 2 (.f64 (pow.f64 y 4) 1/12))) (.f64 y (.f64 y (sqrt.f64 x))))
(.f64 (sqrt.f64 x) (-.f64 (fma.f64 (pow.f64 y 4) 1/12 2) (.f64 y y)))
(*.f64 (sqrt.f64 x) (fma.f64 (pow.f64 y 4) 1/12 (fma.f64 y (neg.f64 y) 2)))
(.f64 (sqrt.f64 x) (-.f64 2 (fma.f64 y y (.f64 (pow.f64 y 4) -1/12))))
(+.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 (pow.f64 y 6) (sqrt.f64 x)) (fma.f64 -1 (.f64 (.f64 y y) (sqrt.f64 x)) (fma.f64 1/12 (.f64 (pow.f64 y 4) (sqrt.f64 x)) (*.f64 2 (sqrt.f64 x)))))
(+.f64 (.f64 (sqrt.f64 x) (+.f64 2 (.f64 (pow.f64 y 4) 1/12))) (.f64 (sqrt.f64 x) (+.f64 (.f64 (pow.f64 y 6) -1/360) (neg.f64 (*.f64 y y)))))
(.f64 (sqrt.f64 x) (+.f64 (fma.f64 (pow.f64 y 4) 1/12 2) (-.f64 (.f64 (pow.f64 y 6) -1/360) (*.f64 y y))))
(.f64 (sqrt.f64 x) (-.f64 (fma.f64 (pow.f64 y 6) -1/360 (fma.f64 (pow.f64 y 4) 1/12 2)) (.f64 y y)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x)))

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 10 computations (41.2% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite54.0ms (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 log1p.f64 (expm1.f64 (*.f64 -1/3 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/3 (/.f64 a b))))))))

simplify9.0ms (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

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (sqrt.f64 x) (cos.f64 y))
✓	0.3b	(*.f64 a (/.f64 1/3 b))
✓	0.4b	(/.f64 1/3 b)
✓	6.5b	(log.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))))

Compiler

Compiled 78 to 39 computations (50% saved)

series12.0ms (0%)

Counts

4 → 73

Calls

27 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(*.f64 (sqrt.f64 x) (cos.f64 y))
1.0ms	x	@	0	(log.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))))
1.0ms	x	@	inf	(log.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))))
1.0ms	x	@	-inf	(log.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))))
1.0ms	x	@	0	(*.f64 (sqrt.f64 x) (cos.f64 y))

rewrite182.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

799×	`log-prod_binary64`
461×	`fma-def_binary64`
288×	`expm1-udef_binary64`
288×	`log1p-udef_binary64`
266×	`pow3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	39
1	333	37
2	4213	37

Stop Event

1×	node limit

Counts

4 → 257

Calls

Call 1

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

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

simplify141.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

723×	`distribute-rgt-out_binary64`
580×	`associate-l_binary64`
489×	`distribute-rgt-neg-in_binary64`
469×	`associate-r_binary64`
446×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	50	977
1	137	960
2	385	924
3	1299	921
4	4440	921

Stop Event

1×	node limit

Counts

330 → 282

Calls

Call 1

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

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

localize78.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 a (*.f64 b 3))
✓	0.2b	(.f64 -1/3 (.f64 t z))
✓	0.3b	(pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2)
✓	30.2b	(cos.f64 (.f64 -1/3 (.f64 t z)))

Compiler

Compiled 93 to 56 computations (39.8% saved)

series36.0ms (0.1%)

Counts

3 → 16

Calls

18 calls:

Time	Variable		Point	Expression
23.0ms	t	@	0	(pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2)
1.0ms	z	@	0	(pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2)
1.0ms	t	@	inf	(pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2)
1.0ms	z	@	-inf	(pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2)
1.0ms	z	@	inf	(pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2)

rewrite93.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

785×	`pow1_binary64`
723×	`add-log-exp_binary64`
723×	`log1p-expm1-u_binary64`
723×	`expm1-log1p-u_binary64`
708×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	184	28
2	2015	28

Stop Event

1×	node limit

Counts

3 → 48

Calls

Call 1

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

Outputs

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

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

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

simplify169.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1250×	`distribute-rgt-in_binary64`
599×	`sqr-pow_binary64`
462×	`+-commutative_binary64`
452×	`distribute-lft-in_binary64`
381×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	60	348
1	162	336
2	486	332
3	2128	332
4	4232	332
5	5548	296
6	5760	296
7	6008	260
8	6285	260
9	6677	260
10	7300	260

Stop Event

1×	node limit

Counts

64 → 63

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))))))
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))))))
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)))))
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)))))

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 (.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 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (.f64 (.f64 t t) (.f64 (*.f64 z z) -1/18))))
(fma.f64 -1/18 (.f64 (.f64 t z) (.f64 t z)) (fma.f64 (pow.f64 t 4) (.f64 1/1944 (pow.f64 z 4)) 1))
(fma.f64 -1/18 (.f64 (.f64 t t) (.f64 z z)) (fma.f64 1/1944 (pow.f64 (.f64 t z) 4) 1))
(fma.f64 -1/18 (pow.f64 (.f64 t z) 2) (fma.f64 1/1944 (pow.f64 (.f64 t z) 4) 1))
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(+.f64 1 (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (fma.f64 -1/18 (.f64 (.f64 t t) (.f64 z z)) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(+.f64 1 (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (fma.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6)) (.f64 (.f64 t t) (.f64 (.f64 z z) -1/18)))))
(+.f64 (fma.f64 -1/18 (.f64 (.f64 t z) (.f64 t z)) 1) (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 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 (fma.f64 -1/524880 (pow.f64 (.f64 t z) 6) (.f64 (.f64 t t) (.f64 -1/18 (.f64 z z)))) (fma.f64 1/1944 (pow.f64 (.f64 t z) 4) 1))
(+.f64 (fma.f64 -1/18 (pow.f64 (.f64 t z) 2) 1) (fma.f64 1/1944 (pow.f64 (.f64 t z) 4) (.f64 -1/524880 (pow.f64 (.f64 t z) 6))))
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 (.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 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (.f64 (.f64 t t) (.f64 (*.f64 z z) -1/18))))
(fma.f64 -1/18 (.f64 (.f64 t z) (.f64 t z)) (fma.f64 (pow.f64 t 4) (.f64 1/1944 (pow.f64 z 4)) 1))
(fma.f64 -1/18 (.f64 (.f64 t t) (.f64 z z)) (fma.f64 1/1944 (pow.f64 (.f64 t z) 4) 1))
(fma.f64 -1/18 (pow.f64 (.f64 t z) 2) (fma.f64 1/1944 (pow.f64 (.f64 t z) 4) 1))
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(+.f64 1 (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (fma.f64 -1/18 (.f64 (.f64 t t) (.f64 z z)) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(+.f64 1 (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (fma.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6)) (.f64 (.f64 t t) (.f64 (.f64 z z) -1/18)))))
(+.f64 (fma.f64 -1/18 (.f64 (.f64 t z) (.f64 t z)) 1) (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 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 (fma.f64 -1/524880 (pow.f64 (.f64 t z) 6) (.f64 (.f64 t t) (.f64 -1/18 (.f64 z z)))) (fma.f64 1/1944 (pow.f64 (.f64 t z) 4) 1))
(+.f64 (fma.f64 -1/18 (pow.f64 (.f64 t z) 2) 1) (fma.f64 1/1944 (pow.f64 (.f64 t z) 4) (.f64 -1/524880 (pow.f64 (.f64 t z) 6))))
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 (.f64 t z) (*.f64 t z)) -1/9 1)
(fma.f64 (.f64 z z) (.f64 (*.f64 t t) -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 t 4) (*.f64 (pow.f64 z 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 (.f64 t z) (.f64 t z)) -1/9 1))
(fma.f64 (.f64 (pow.f64 t 4) (pow.f64 z 4)) 1/243 (fma.f64 (.f64 (.f64 t z) (.f64 t z)) -1/9 1))
(fma.f64 (pow.f64 (.f64 t z) 4) 1/243 (fma.f64 (.f64 z z) (.f64 (.f64 t t) -1/9) 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)))))
(+.f64 (fma.f64 -1/9 (.f64 (.f64 t t) (.f64 z z)) 1) (fma.f64 (.f64 (pow.f64 z 6) -2/32805) (pow.f64 t 6) (.f64 (pow.f64 t 4) (.f64 (pow.f64 z 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 (.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 (pow.f64 (.f64 t z) 6) -2/32805 (fma.f64 (pow.f64 (.f64 t z) 4) 1/243 (fma.f64 (.f64 z z) (.f64 (*.f64 t t) -1/9) 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)))
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 (.f64 t z) (*.f64 t z)) -1/9 1)
(fma.f64 (.f64 z z) (.f64 (*.f64 t t) -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 t 4) (*.f64 (pow.f64 z 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 (.f64 t z) (.f64 t z)) -1/9 1))
(fma.f64 (.f64 (pow.f64 t 4) (pow.f64 z 4)) 1/243 (fma.f64 (.f64 (.f64 t z) (.f64 t z)) -1/9 1))
(fma.f64 (pow.f64 (.f64 t z) 4) 1/243 (fma.f64 (.f64 z z) (.f64 (.f64 t t) -1/9) 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)))))
(+.f64 (fma.f64 -1/9 (.f64 (.f64 t t) (.f64 z z)) 1) (fma.f64 (.f64 (pow.f64 z 6) -2/32805) (pow.f64 t 6) (.f64 (pow.f64 t 4) (.f64 (pow.f64 z 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 (.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 (pow.f64 (.f64 t z) 6) -2/32805 (fma.f64 (pow.f64 (.f64 t z) 4) 1/243 (fma.f64 (.f64 z z) (.f64 (*.f64 t t) -1/9) 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)))

localize171.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 t -1/3)
✓	0.6b	(cbrt.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)))))
✓	2.8b	(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))))) 3))
	25.1b	(cos.f64 (fma.f64 z (*.f64 t -1/3) y))

Compiler

Compiled 145 to 93 computations (35.9% saved)

series326.0ms (0.9%)

Counts

2 → 96

Calls

24 calls:

Time	Variable		Point	Expression
87.0ms	z	@	inf	(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))))) 3))
69.0ms	x	@	0	(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))))) 3))
50.0ms	y	@	inf	(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))))) 3))
21.0ms	x	@	inf	(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))))) 3))
20.0ms	z	@	0	(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))))) 3))

rewrite120.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

760×	`log-prod_binary64`
401×	`pow2_binary64`
284×	`expm1-udef_binary64`
284×	`log1p-udef_binary64`
281×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	43
1	354	38
2	3985	38

Stop Event

1×	node limit

Counts

2 → 128

Calls

Call 1

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

Outputs

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

simplify285.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

755×	`associate-+l+_binary64`
692×	`associate-+r+_binary64`
408×	`fma-def_binary64`
404×	`+-commutative_binary64`
367×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	452	8351
1	1640	7775
2	3518	7767
3	6721	7762

Stop Event

1×	node limit

Counts

224 → 182

Calls

Call 1

Inputs
(.f64 2 (.f64 (pow.f64 1 1/6) (.f64 (cos.f64 (+.f64 (.f64 -1/3 (*.f64 t z)) y)) (sqrt.f64 x))))
(.f64 2 (.f64 (pow.f64 1 1/6) (.f64 (cos.f64 (+.f64 (.f64 -1/3 (*.f64 t z)) y)) (sqrt.f64 x))))
(.f64 2 (.f64 (pow.f64 1 1/6) (.f64 (cos.f64 (+.f64 (.f64 -1/3 (*.f64 t z)) y)) (sqrt.f64 x))))
(.f64 2 (.f64 (pow.f64 1 1/6) (.f64 (cos.f64 (+.f64 (.f64 -1/3 (*.f64 t z)) y)) (sqrt.f64 x))))
(.f64 2 (.f64 (pow.f64 1 1/6) (.f64 (cos.f64 (+.f64 (.f64 -1/3 (*.f64 t z)) y)) (sqrt.f64 x))))
(.f64 2 (.f64 (pow.f64 1 1/6) (.f64 (cos.f64 (+.f64 (.f64 -1/3 (*.f64 t z)) y)) (sqrt.f64 x))))
(.f64 2 (.f64 (pow.f64 1 1/6) (.f64 (cos.f64 (+.f64 (.f64 -1/3 (*.f64 t z)) y)) (sqrt.f64 x))))
(.f64 2 (.f64 (pow.f64 1 1/6) (.f64 (cos.f64 (+.f64 (.f64 -1/3 (*.f64 t z)) y)) (sqrt.f64 x))))
(.f64 2 (.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (cos.f64 (+.f64 (.f64 -1/3 (.f64 t z)) y))) (.f64 (pow.f64 1 1/6) (sqrt.f64 x))))
(.f64 2 (.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (cos.f64 (+.f64 (.f64 -1/3 (.f64 t z)) y))) (.f64 (pow.f64 1 1/6) (sqrt.f64 x))))
(.f64 2 (.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (cos.f64 (+.f64 (.f64 -1/3 (.f64 t z)) y))) (.f64 (pow.f64 1 1/6) (sqrt.f64 x))))
(.f64 2 (.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (cos.f64 (+.f64 (.f64 -1/3 (.f64 t z)) y))) (.f64 (pow.f64 1 1/6) (sqrt.f64 x))))
(.f64 2 (.f64 (pow.f64 1 1/6) (*.f64 (cos.f64 y) (sqrt.f64 x))))
(+.f64 (.f64 2 (.f64 (pow.f64 1 1/6) (.f64 (cos.f64 y) (sqrt.f64 x)))) (.f64 (+.f64 (.f64 4/9 (.f64 (pow.f64 (pow.f64 1 5) 1/18) (.f64 (.f64 t (sin.f64 y)) (.f64 (pow.f64 (pow.f64 (cos.f64 y) 4) 1/9) (sqrt.f64 x))))) (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 5) 1/18) (.f64 (.f64 t (sin.f64 y)) (.f64 (pow.f64 (pow.f64 (cos.f64 y) 4) 1/9) (sqrt.f64 x)))))) z))
(+.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 1 1/6) (.f64 (-.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (cos.f64 y))) (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (cos.f64 y)) 1/9) (.f64 (pow.f64 t 2) (pow.f64 (sin.f64 y) 2))))) (sqrt.f64 x)))) (+.f64 (.f64 (sqrt.f64 1) (.f64 (.f64 (cbrt.f64 2) (+.f64 (.f64 1/81 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (cos.f64 y) 4)) 1/9) (.f64 (.f64 (pow.f64 (cbrt.f64 2) 2) (.f64 (pow.f64 t 2) (pow.f64 (sin.f64 y) 2))) (pow.f64 x 1/3)))) (.f64 2/3 (.f64 (pow.f64 (/.f64 (.f64 1 x) (cos.f64 y)) 1/3) (.f64 (-.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (cos.f64 y))) (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (cos.f64 y)) 1/9) (.f64 (pow.f64 t 2) (pow.f64 (sin.f64 y) 2))))) (pow.f64 (cbrt.f64 2) 2)))))) (.f64 (pow.f64 (cos.f64 y) 1/3) (pow.f64 x 1/6)))) (.f64 4/81 (.f64 (pow.f64 (pow.f64 1 5) 1/18) (.f64 (.f64 (pow.f64 t 2) (pow.f64 (sin.f64 y) 2)) (.f64 (pow.f64 (/.f64 1 (cos.f64 y)) 1/9) (sqrt.f64 x))))))) (pow.f64 z 2)) (+.f64 (.f64 2 (.f64 (pow.f64 1 1/6) (.f64 (cos.f64 y) (sqrt.f64 x)))) (.f64 (+.f64 (.f64 4/9 (.f64 (pow.f64 (pow.f64 1 5) 1/18) (.f64 (.f64 t (sin.f64 y)) (.f64 (pow.f64 (pow.f64 (cos.f64 y) 4) 1/9) (sqrt.f64 x))))) (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 5) 1/18) (.f64 (.f64 t (sin.f64 y)) (.f64 (pow.f64 (pow.f64 (cos.f64 y) 4) 1/9) (sqrt.f64 x)))))) z)))
(+.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 1 1/6) (.f64 (-.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (cos.f64 y))) (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (cos.f64 y)) 1/9) (.f64 (pow.f64 t 2) (pow.f64 (sin.f64 y) 2))))) (sqrt.f64 x)))) (+.f64 (.f64 (sqrt.f64 1) (.f64 (.f64 (cbrt.f64 2) (+.f64 (.f64 1/81 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (cos.f64 y) 4)) 1/9) (.f64 (.f64 (pow.f64 (cbrt.f64 2) 2) (.f64 (pow.f64 t 2) (pow.f64 (sin.f64 y) 2))) (pow.f64 x 1/3)))) (.f64 2/3 (.f64 (pow.f64 (/.f64 (.f64 1 x) (cos.f64 y)) 1/3) (.f64 (-.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (cos.f64 y))) (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (cos.f64 y)) 1/9) (.f64 (pow.f64 t 2) (pow.f64 (sin.f64 y) 2))))) (pow.f64 (cbrt.f64 2) 2)))))) (.f64 (pow.f64 (cos.f64 y) 1/3) (pow.f64 x 1/6)))) (.f64 4/81 (.f64 (pow.f64 (pow.f64 1 5) 1/18) (.f64 (.f64 (pow.f64 t 2) (pow.f64 (sin.f64 y) 2)) (.f64 (pow.f64 (/.f64 1 (cos.f64 y)) 1/9) (sqrt.f64 x))))))) (pow.f64 z 2)) (+.f64 (.f64 2 (.f64 (pow.f64 1 1/6) (.f64 (cos.f64 y) (sqrt.f64 x)))) (+.f64 (.f64 (+.f64 (.f64 4/9 (.f64 (pow.f64 (pow.f64 1 5) 1/18) (.f64 (.f64 t (sin.f64 y)) (.f64 (pow.f64 (pow.f64 (cos.f64 y) 4) 1/9) (sqrt.f64 x))))) (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 5) 1/18) (.f64 (.f64 t (sin.f64 y)) (.f64 (pow.f64 (pow.f64 (cos.f64 y) 4) 1/9) (sqrt.f64 x)))))) z) (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 1 1/6) (.f64 (+.f64 (.f64 1/162 (.f64 (pow.f64 t 3) (sin.f64 y))) (+.f64 (.f64 1/729 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) (.f64 (pow.f64 t 3) (pow.f64 (sin.f64 y) 3)))) (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 5)) 1/9) (.f64 (-.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (cos.f64 y))) (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (cos.f64 y)) 1/9) (.f64 (pow.f64 t 2) (pow.f64 (sin.f64 y) 2))))) (.f64 t (sin.f64 y))))))) (sqrt.f64 x)))) (+.f64 (.f64 (sqrt.f64 1) (.f64 (.f64 (cbrt.f64 2) (+.f64 (.f64 1/27 (.f64 (.f64 (-.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (cos.f64 y))) (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (cos.f64 y)) 1/9) (.f64 (pow.f64 t 2) (pow.f64 (sin.f64 y) 2))))) (.f64 (pow.f64 (cbrt.f64 2) 2) (.f64 t (sin.f64 y)))) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (cos.f64 y) 8)) 1/9) (pow.f64 x 1/3)))) (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (cos.f64 y) 8)) 1/9) (.f64 (.f64 (-.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (cos.f64 y))) (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (cos.f64 y)) 1/9) (.f64 (pow.f64 t 2) (pow.f64 (sin.f64 y) 2))))) (.f64 (pow.f64 (cbrt.f64 2) 2) (.f64 t (sin.f64 y)))) (pow.f64 x 1/3)))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 (.f64 1 x) (cos.f64 y)) 1/3) (.f64 (pow.f64 (cbrt.f64 2) 2) (+.f64 (.f64 1/162 (.f64 (pow.f64 t 3) (sin.f64 y))) (+.f64 (.f64 1/729 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) (.f64 (pow.f64 t 3) (pow.f64 (sin.f64 y) 3)))) (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 5)) 1/9) (.f64 (-.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (cos.f64 y))) (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (cos.f64 y)) 1/9) (.f64 (pow.f64 t 2) (pow.f64 (sin.f64 y) 2))))) (.f64 t (sin.f64 y))))))))))))) (.f64 (pow.f64 (cos.f64 y) 1/3) (pow.f64 x 1/6)))) (+.f64 (.f64 4/27 (.f64 (pow.f64 (pow.f64 1 5) 1/18) (.f64 (.f64 (-.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (cos.f64 y))) (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (cos.f64 y)) 1/9) (.f64 (pow.f64 t 2) (pow.f64 (sin.f64 y) 2))))) (.f64 t (sin.f64 y))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 5)) 1/9) (sqrt.f64 x))))) (.f64 1/9 (.f64 (pow.f64 (pow.f64 1 11) 1/18) (.f64 (.f64 (cbrt.f64 2) (.f64 t (.f64 (+.f64 (.f64 1/81 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (cos.f64 y) 4)) 1/9) (.f64 (.f64 (pow.f64 (cbrt.f64 2) 2) (.f64 (pow.f64 t 2) (pow.f64 (sin.f64 y) 2))) (pow.f64 x 1/3)))) (.f64 2/3 (.f64 (pow.f64 (/.f64 (.f64 1 x) (cos.f64 y)) 1/3) (.f64 (-.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (cos.f64 y))) (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (cos.f64 y)) 1/9) (.f64 (pow.f64 t 2) (pow.f64 (sin.f64 y) 2))))) (pow.f64 (cbrt.f64 2) 2))))) (sin.f64 y)))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 2)) 1/9) (pow.f64 x 1/6)))))))) (pow.f64 z 3)))))
(.f64 2 (.f64 (pow.f64 1 1/6) (.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) (sqrt.f64 x))))
(.f64 2 (.f64 (pow.f64 1 1/6) (.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) (sqrt.f64 x))))
(.f64 2 (.f64 (pow.f64 1 1/6) (.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) (sqrt.f64 x))))
(.f64 2 (.f64 (pow.f64 1 1/6) (.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) (sqrt.f64 x))))
(.f64 2 (.f64 (pow.f64 1 1/6) (.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) (sqrt.f64 x))))
(.f64 2 (.f64 (pow.f64 1 1/6) (.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) (sqrt.f64 x))))
(.f64 2 (.f64 (pow.f64 1 1/6) (.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) (sqrt.f64 x))))
(.f64 2 (.f64 (pow.f64 1 1/6) (.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) (sqrt.f64 x))))
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(.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (.f64 (pow.f64 (cos.f64 (+.f64 (.f64 -1/3 (*.f64 t z)) y)) 1/3) (pow.f64 x 1/6))))
(.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (.f64 (pow.f64 (cos.f64 (+.f64 (.f64 -1/3 (*.f64 t z)) y)) 1/3) (pow.f64 x 1/6))))
(.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (.f64 (pow.f64 (cos.f64 (+.f64 (.f64 -1/3 (*.f64 t z)) y)) 1/3) (pow.f64 x 1/6))))
(.f64 (pow.f64 (.f64 -1 x) 1/6) (.f64 (pow.f64 (.f64 (sqrt.f64 -1) (.f64 1 (cos.f64 (+.f64 (.f64 -1/3 (*.f64 t z)) y)))) 1/3) (cbrt.f64 2)))
(.f64 (pow.f64 (.f64 -1 x) 1/6) (.f64 (pow.f64 (.f64 (sqrt.f64 -1) (.f64 1 (cos.f64 (+.f64 (.f64 -1/3 (*.f64 t z)) y)))) 1/3) (cbrt.f64 2)))
(.f64 (pow.f64 (.f64 -1 x) 1/6) (.f64 (pow.f64 (.f64 (sqrt.f64 -1) (.f64 1 (cos.f64 (+.f64 (.f64 -1/3 (*.f64 t z)) y)))) 1/3) (cbrt.f64 2)))
(.f64 (pow.f64 (.f64 -1 x) 1/6) (.f64 (pow.f64 (.f64 (sqrt.f64 -1) (.f64 1 (cos.f64 (+.f64 (.f64 -1/3 (*.f64 t z)) y)))) 1/3) (cbrt.f64 2)))
(.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (*.f64 (pow.f64 (cos.f64 y) 1/3) (pow.f64 x 1/6))))
(+.f64 (.f64 1/9 (.f64 (pow.f64 (pow.f64 1 11) 1/18) (.f64 (.f64 (cbrt.f64 2) (.f64 t (.f64 z (sin.f64 y)))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 2)) 1/9) (pow.f64 x 1/6))))) (.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (.f64 (pow.f64 (cos.f64 y) 1/3) (pow.f64 x 1/6)))))
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 1) (.f64 (.f64 (-.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (cos.f64 y))) (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (cos.f64 y)) 1/9) (.f64 (pow.f64 t 2) (pow.f64 (sin.f64 y) 2))))) (.f64 (cbrt.f64 2) (pow.f64 z 2))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) (pow.f64 x 1/6))))) (+.f64 (.f64 1/9 (.f64 (pow.f64 (pow.f64 1 11) 1/18) (.f64 (.f64 (cbrt.f64 2) (.f64 t (.f64 z (sin.f64 y)))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 2)) 1/9) (pow.f64 x 1/6))))) (.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (*.f64 (pow.f64 (cos.f64 y) 1/3) (pow.f64 x 1/6))))))
(+.f64 (.f64 -1/3 (.f64 (sqrt.f64 1) (.f64 (.f64 (cbrt.f64 2) (.f64 (+.f64 (.f64 1/162 (.f64 (pow.f64 t 3) (sin.f64 y))) (+.f64 (.f64 1/729 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) (.f64 (pow.f64 t 3) (pow.f64 (sin.f64 y) 3)))) (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 5)) 1/9) (.f64 (-.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (cos.f64 y))) (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (cos.f64 y)) 1/9) (.f64 (pow.f64 t 2) (pow.f64 (sin.f64 y) 2))))) (.f64 t (sin.f64 y))))))) (pow.f64 z 3))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) (pow.f64 x 1/6))))) (+.f64 (.f64 1/3 (.f64 (sqrt.f64 1) (.f64 (.f64 (-.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (cos.f64 y))) (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (cos.f64 y)) 1/9) (.f64 (pow.f64 t 2) (pow.f64 (sin.f64 y) 2))))) (.f64 (cbrt.f64 2) (pow.f64 z 2))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) (pow.f64 x 1/6))))) (+.f64 (.f64 1/9 (.f64 (pow.f64 (pow.f64 1 11) 1/18) (.f64 (.f64 (cbrt.f64 2) (.f64 t (.f64 z (sin.f64 y)))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 2)) 1/9) (pow.f64 x 1/6))))) (.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (*.f64 (pow.f64 (cos.f64 y) 1/3) (pow.f64 x 1/6)))))))
(.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) 1/3) (pow.f64 x 1/6))))
(.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) 1/3) (pow.f64 x 1/6))))
(.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) 1/3) (pow.f64 x 1/6))))
(.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) 1/3) (pow.f64 x 1/6))))
(.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) 1/3) (pow.f64 x 1/6))))
(.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) 1/3) (pow.f64 x 1/6))))
(.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) 1/3) (pow.f64 x 1/6))))
(.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) 1/3) (pow.f64 x 1/6))))
(.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (*.f64 (pow.f64 (cos.f64 y) 1/3) (pow.f64 x 1/6))))
(+.f64 (.f64 1/9 (.f64 (pow.f64 (pow.f64 1 11) 1/18) (.f64 (.f64 (cbrt.f64 2) (.f64 t (.f64 z (sin.f64 y)))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 2)) 1/9) (pow.f64 x 1/6))))) (.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (.f64 (pow.f64 (cos.f64 y) 1/3) (pow.f64 x 1/6)))))
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 1) (.f64 (.f64 (cbrt.f64 2) (.f64 (pow.f64 t 2) (-.f64 (.f64 -1/18 (.f64 (pow.f64 z 2) (cos.f64 y))) (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (cos.f64 y)) 1/9) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) (pow.f64 x 1/6))))) (+.f64 (.f64 1/9 (.f64 (pow.f64 (pow.f64 1 11) 1/18) (.f64 (.f64 (cbrt.f64 2) (.f64 t (.f64 z (sin.f64 y)))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 2)) 1/9) (pow.f64 x 1/6))))) (.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (*.f64 (pow.f64 (cos.f64 y) 1/3) (pow.f64 x 1/6))))))
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 1) (.f64 (.f64 (cbrt.f64 2) (.f64 (pow.f64 t 2) (-.f64 (.f64 -1/18 (.f64 (pow.f64 z 2) (cos.f64 y))) (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (cos.f64 y)) 1/9) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) (pow.f64 x 1/6))))) (+.f64 (.f64 1/9 (.f64 (pow.f64 (pow.f64 1 11) 1/18) (.f64 (.f64 (cbrt.f64 2) (.f64 t (.f64 z (sin.f64 y)))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 2)) 1/9) (pow.f64 x 1/6))))) (+.f64 (.f64 -1/3 (.f64 (sqrt.f64 1) (.f64 (.f64 (cbrt.f64 2) (.f64 (pow.f64 t 3) (+.f64 (.f64 1/729 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 5)) 1/9) (.f64 z (.f64 (-.f64 (.f64 -1/18 (.f64 (pow.f64 z 2) (cos.f64 y))) (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (cos.f64 y)) 1/9) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))) (sin.f64 y))))) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 5)) 1/9) (.f64 z (.f64 (sin.f64 y) (-.f64 (.f64 -1/18 (.f64 (pow.f64 z 2) (cos.f64 y))) (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (cos.f64 y)) 1/9) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))))))) (.f64 1/162 (.f64 (pow.f64 z 3) (sin.f64 y)))))))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) (pow.f64 x 1/6))))) (.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (.f64 (pow.f64 (cos.f64 y) 1/3) (pow.f64 x 1/6)))))))
(.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) 1/3) (pow.f64 x 1/6))))
(.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) 1/3) (pow.f64 x 1/6))))
(.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) 1/3) (pow.f64 x 1/6))))
(.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) 1/3) (pow.f64 x 1/6))))
(.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) 1/3) (pow.f64 x 1/6))))
(.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) 1/3) (pow.f64 x 1/6))))
(.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) 1/3) (pow.f64 x 1/6))))
(.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) 1/3) (pow.f64 x 1/6))))
(.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (.f64 (pow.f64 (cos.f64 (.f64 -1/3 (*.f64 t z))) 1/3) (pow.f64 x 1/6))))
(+.f64 (.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (.f64 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 1/3) (pow.f64 x 1/6)))) (.f64 -1/3 (.f64 (pow.f64 (pow.f64 1 11) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2)) 1/9) (.f64 (.f64 y (.f64 (cbrt.f64 2) (sin.f64 (.f64 -1/3 (*.f64 t z))))) (pow.f64 x 1/6))))))
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 1) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2)) 1/3) (.f64 (.f64 (pow.f64 y 2) (.f64 (cbrt.f64 2) (-.f64 (.f64 -1/2 (cos.f64 (.f64 -1/3 (.f64 t z)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 (.f64 -1/3 (.f64 t z)))) 1/9) (pow.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) 2)))))) (pow.f64 x 1/6))))) (+.f64 (.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (.f64 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 1/3) (pow.f64 x 1/6)))) (.f64 -1/3 (.f64 (pow.f64 (pow.f64 1 11) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2)) 1/9) (.f64 (.f64 y (.f64 (cbrt.f64 2) (sin.f64 (.f64 -1/3 (.f64 t z))))) (pow.f64 x 1/6)))))))
(+.f64 (.f64 -1/3 (.f64 (sqrt.f64 1) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2)) 1/3) (.f64 (.f64 (pow.f64 y 3) (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 5)) 1/9) (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) (-.f64 (.f64 -1/2 (cos.f64 (.f64 -1/3 (.f64 t z)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 (.f64 -1/3 (.f64 t z)))) 1/9) (pow.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) 2))))))) (+.f64 (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2)) 1/3) (pow.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) 3))) (.f64 -1/6 (sin.f64 (.f64 -1/3 (.f64 t z)))))) (cbrt.f64 2))) (pow.f64 x 1/6))))) (+.f64 (.f64 1/3 (.f64 (sqrt.f64 1) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2)) 1/3) (.f64 (.f64 (pow.f64 y 2) (.f64 (cbrt.f64 2) (-.f64 (.f64 -1/2 (cos.f64 (.f64 -1/3 (.f64 t z)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 (.f64 -1/3 (.f64 t z)))) 1/9) (pow.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) 2)))))) (pow.f64 x 1/6))))) (+.f64 (.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (.f64 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 1/3) (pow.f64 x 1/6)))) (.f64 -1/3 (.f64 (pow.f64 (pow.f64 1 11) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2)) 1/9) (.f64 (.f64 y (.f64 (cbrt.f64 2) (sin.f64 (.f64 -1/3 (*.f64 t z))))) (pow.f64 x 1/6))))))))
(.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) 1/3) (pow.f64 x 1/6))))
(.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) 1/3) (pow.f64 x 1/6))))
(.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) 1/3) (pow.f64 x 1/6))))
(.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) 1/3) (pow.f64 x 1/6))))
(.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) 1/3) (pow.f64 x 1/6))))
(.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) 1/3) (pow.f64 x 1/6))))
(.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) 1/3) (pow.f64 x 1/6))))
(.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) 1/3) (pow.f64 x 1/6))))

Outputs
(.f64 2 (.f64 (pow.f64 1 1/6) (.f64 (cos.f64 (+.f64 (.f64 -1/3 (*.f64 t z)) y)) (sqrt.f64 x))))
(.f64 2 (.f64 (cos.f64 (fma.f64 -1/3 (*.f64 t z) y)) (sqrt.f64 x)))
(.f64 2 (.f64 (pow.f64 1 1/6) (.f64 (cos.f64 (+.f64 (.f64 -1/3 (*.f64 t z)) y)) (sqrt.f64 x))))
(.f64 2 (.f64 (cos.f64 (fma.f64 -1/3 (*.f64 t z) y)) (sqrt.f64 x)))
(.f64 2 (.f64 (pow.f64 1 1/6) (.f64 (cos.f64 (+.f64 (.f64 -1/3 (*.f64 t z)) y)) (sqrt.f64 x))))
(.f64 2 (.f64 (cos.f64 (fma.f64 -1/3 (*.f64 t z) y)) (sqrt.f64 x)))
(.f64 2 (.f64 (pow.f64 1 1/6) (.f64 (cos.f64 (+.f64 (.f64 -1/3 (*.f64 t z)) y)) (sqrt.f64 x))))
(.f64 2 (.f64 (cos.f64 (fma.f64 -1/3 (*.f64 t z) y)) (sqrt.f64 x)))
(.f64 2 (.f64 (pow.f64 1 1/6) (.f64 (cos.f64 (+.f64 (.f64 -1/3 (*.f64 t z)) y)) (sqrt.f64 x))))
(.f64 2 (.f64 (cos.f64 (fma.f64 -1/3 (*.f64 t z) y)) (sqrt.f64 x)))
(.f64 2 (.f64 (pow.f64 1 1/6) (.f64 (cos.f64 (+.f64 (.f64 -1/3 (*.f64 t z)) y)) (sqrt.f64 x))))
(.f64 2 (.f64 (cos.f64 (fma.f64 -1/3 (*.f64 t z) y)) (sqrt.f64 x)))
(.f64 2 (.f64 (pow.f64 1 1/6) (.f64 (cos.f64 (+.f64 (.f64 -1/3 (*.f64 t z)) y)) (sqrt.f64 x))))
(.f64 2 (.f64 (cos.f64 (fma.f64 -1/3 (*.f64 t z) y)) (sqrt.f64 x)))
(.f64 2 (.f64 (pow.f64 1 1/6) (.f64 (cos.f64 (+.f64 (.f64 -1/3 (*.f64 t z)) y)) (sqrt.f64 x))))
(.f64 2 (.f64 (cos.f64 (fma.f64 -1/3 (*.f64 t z) y)) (sqrt.f64 x)))
(.f64 2 (.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (cos.f64 (+.f64 (.f64 -1/3 (.f64 t z)) y))) (.f64 (pow.f64 1 1/6) (sqrt.f64 x))))
(.f64 2 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (cos.f64 (fma.f64 -1/3 (.f64 t z) y)) (*.f64 1 (sqrt.f64 x)))))
(.f64 2 (.f64 (sqrt.f64 x) (.f64 (cos.f64 (fma.f64 -1/3 (.f64 t z) y)) -1)))
(.f64 2 (.f64 (sqrt.f64 x) (neg.f64 (cos.f64 (fma.f64 -1/3 (*.f64 t z) y)))))
(.f64 2 (.f64 (cos.f64 (fma.f64 -1/3 (*.f64 t z) y)) (neg.f64 (sqrt.f64 x))))
(.f64 2 (.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (cos.f64 (+.f64 (.f64 -1/3 (.f64 t z)) y))) (.f64 (pow.f64 1 1/6) (sqrt.f64 x))))
(.f64 2 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (cos.f64 (fma.f64 -1/3 (.f64 t z) y)) (*.f64 1 (sqrt.f64 x)))))
(.f64 2 (.f64 (sqrt.f64 x) (.f64 (cos.f64 (fma.f64 -1/3 (.f64 t z) y)) -1)))
(.f64 2 (.f64 (sqrt.f64 x) (neg.f64 (cos.f64 (fma.f64 -1/3 (*.f64 t z) y)))))
(.f64 2 (.f64 (cos.f64 (fma.f64 -1/3 (*.f64 t z) y)) (neg.f64 (sqrt.f64 x))))
(.f64 2 (.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (cos.f64 (+.f64 (.f64 -1/3 (.f64 t z)) y))) (.f64 (pow.f64 1 1/6) (sqrt.f64 x))))
(.f64 2 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (cos.f64 (fma.f64 -1/3 (.f64 t z) y)) (*.f64 1 (sqrt.f64 x)))))
(.f64 2 (.f64 (sqrt.f64 x) (.f64 (cos.f64 (fma.f64 -1/3 (.f64 t z) y)) -1)))
(.f64 2 (.f64 (sqrt.f64 x) (neg.f64 (cos.f64 (fma.f64 -1/3 (*.f64 t z) y)))))
(.f64 2 (.f64 (cos.f64 (fma.f64 -1/3 (*.f64 t z) y)) (neg.f64 (sqrt.f64 x))))
(.f64 2 (.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (cos.f64 (+.f64 (.f64 -1/3 (.f64 t z)) y))) (.f64 (pow.f64 1 1/6) (sqrt.f64 x))))
(.f64 2 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (cos.f64 (fma.f64 -1/3 (.f64 t z) y)) (*.f64 1 (sqrt.f64 x)))))
(.f64 2 (.f64 (sqrt.f64 x) (.f64 (cos.f64 (fma.f64 -1/3 (.f64 t z) y)) -1)))
(.f64 2 (.f64 (sqrt.f64 x) (neg.f64 (cos.f64 (fma.f64 -1/3 (*.f64 t z) y)))))
(.f64 2 (.f64 (cos.f64 (fma.f64 -1/3 (*.f64 t z) y)) (neg.f64 (sqrt.f64 x))))
(.f64 2 (.f64 (pow.f64 1 1/6) (*.f64 (cos.f64 y) (sqrt.f64 x))))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))
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(fma.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2)) 1/18)) (.f64 (pow.f64 x 1/6) (.f64 (.f64 y (cbrt.f64 2)) (sin.f64 (.f64 -1/3 (.f64 t z)))))) (.f64 (cbrt.f64 2) (.f64 (pow.f64 x 1/6) (cbrt.f64 (cos.f64 (.f64 -1/3 (*.f64 t z)))))))
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 1) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2)) 1/3) (.f64 (.f64 (pow.f64 y 2) (.f64 (cbrt.f64 2) (-.f64 (.f64 -1/2 (cos.f64 (.f64 -1/3 (.f64 t z)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 (.f64 -1/3 (.f64 t z)))) 1/9) (pow.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) 2)))))) (pow.f64 x 1/6))))) (+.f64 (.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (.f64 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 1/3) (pow.f64 x 1/6)))) (.f64 -1/3 (.f64 (pow.f64 (pow.f64 1 11) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2)) 1/9) (.f64 (.f64 y (.f64 (cbrt.f64 2) (sin.f64 (.f64 -1/3 (.f64 t z))))) (pow.f64 x 1/6)))))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2))) (.f64 (pow.f64 x 1/6) (.f64 (.f64 (.f64 y y) (cbrt.f64 2)) (+.f64 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) -1/2) (.f64 -1/3 (.f64 (pow.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) 2) (.f64 (pow.f64 (/.f64 1 (cos.f64 (.f64 -1/3 (.f64 t z)))) 1/18) (pow.f64 (/.f64 1 (cos.f64 (.f64 -1/3 (.f64 t z)))) 1/18)))))))) (+.f64 (.f64 (cbrt.f64 2) (.f64 (pow.f64 x 1/6) (cbrt.f64 (cos.f64 (.f64 -1/3 (.f64 t z)))))) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2)) 1/18)) (.f64 y (.f64 (.f64 (cbrt.f64 2) (sin.f64 (.f64 -1/3 (*.f64 t z)))) (pow.f64 x 1/6)))))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2))) (.f64 (pow.f64 x 1/6) (.f64 (.f64 (.f64 y y) (cbrt.f64 2)) (fma.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) -1/2 (.f64 -1/3 (.f64 (pow.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) 2) (.f64 (pow.f64 (/.f64 1 (cos.f64 (.f64 -1/3 (.f64 t z)))) 1/18) (pow.f64 (/.f64 1 (cos.f64 (.f64 -1/3 (.f64 t z)))) 1/18)))))))) (fma.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2)) 1/18)) (.f64 (pow.f64 x 1/6) (.f64 (.f64 y (cbrt.f64 2)) (sin.f64 (.f64 -1/3 (.f64 t z)))))) (.f64 (cbrt.f64 2) (.f64 (pow.f64 x 1/6) (cbrt.f64 (cos.f64 (.f64 -1/3 (*.f64 t z))))))))
(+.f64 (.f64 -1/3 (.f64 (sqrt.f64 1) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2)) 1/3) (.f64 (.f64 (pow.f64 y 3) (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 5)) 1/9) (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) (-.f64 (.f64 -1/2 (cos.f64 (.f64 -1/3 (.f64 t z)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 (.f64 -1/3 (.f64 t z)))) 1/9) (pow.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) 2))))))) (+.f64 (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2)) 1/3) (pow.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) 3))) (.f64 -1/6 (sin.f64 (.f64 -1/3 (.f64 t z)))))) (cbrt.f64 2))) (pow.f64 x 1/6))))) (+.f64 (.f64 1/3 (.f64 (sqrt.f64 1) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2)) 1/3) (.f64 (.f64 (pow.f64 y 2) (.f64 (cbrt.f64 2) (-.f64 (.f64 -1/2 (cos.f64 (.f64 -1/3 (.f64 t z)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 (.f64 -1/3 (.f64 t z)))) 1/9) (pow.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) 2)))))) (pow.f64 x 1/6))))) (+.f64 (.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (.f64 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 1/3) (pow.f64 x 1/6)))) (.f64 -1/3 (.f64 (pow.f64 (pow.f64 1 11) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2)) 1/9) (.f64 (.f64 y (.f64 (cbrt.f64 2) (sin.f64 (.f64 -1/3 (*.f64 t z))))) (pow.f64 x 1/6))))))))
(fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2))) (.f64 (pow.f64 x 1/6) (.f64 (pow.f64 y 3) (.f64 (cbrt.f64 2) (fma.f64 -2/3 (.f64 (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) (+.f64 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) -1/2) (.f64 -1/3 (.f64 (pow.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) 2) (.f64 (pow.f64 (/.f64 1 (cos.f64 (.f64 -1/3 (.f64 t z)))) 1/18) (pow.f64 (/.f64 1 (cos.f64 (.f64 -1/3 (.f64 t z)))) 1/18)))))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 5)) 1/18))) (fma.f64 -1/27 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2))) (pow.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) 3)) (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) -1/6))))))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2))) (.f64 (pow.f64 x 1/6) (.f64 (.f64 (.f64 y y) (cbrt.f64 2)) (+.f64 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) -1/2) (.f64 -1/3 (.f64 (pow.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) 2) (.f64 (pow.f64 (/.f64 1 (cos.f64 (.f64 -1/3 (.f64 t z)))) 1/18) (pow.f64 (/.f64 1 (cos.f64 (.f64 -1/3 (.f64 t z)))) 1/18)))))))) (+.f64 (.f64 (cbrt.f64 2) (.f64 (pow.f64 x 1/6) (cbrt.f64 (cos.f64 (.f64 -1/3 (.f64 t z)))))) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2)) 1/18)) (.f64 y (.f64 (.f64 (cbrt.f64 2) (sin.f64 (.f64 -1/3 (.f64 t z)))) (pow.f64 x 1/6))))))))
(fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2))) (.f64 (pow.f64 x 1/6) (.f64 (pow.f64 y 3) (.f64 (cbrt.f64 2) (fma.f64 -2/3 (.f64 (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) (fma.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) -1/2 (.f64 -1/3 (.f64 (pow.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) 2) (.f64 (pow.f64 (/.f64 1 (cos.f64 (.f64 -1/3 (.f64 t z)))) 1/18) (pow.f64 (/.f64 1 (cos.f64 (.f64 -1/3 (.f64 t z)))) 1/18)))))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 5)) 1/18))) (fma.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) -1/6 (.f64 -1/27 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2))) (pow.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) 3))))))))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2))) (.f64 (pow.f64 x 1/6) (.f64 (.f64 (.f64 y y) (cbrt.f64 2)) (fma.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) -1/2 (.f64 -1/3 (.f64 (pow.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) 2) (.f64 (pow.f64 (/.f64 1 (cos.f64 (.f64 -1/3 (.f64 t z)))) 1/18) (pow.f64 (/.f64 1 (cos.f64 (.f64 -1/3 (.f64 t z)))) 1/18)))))))) (fma.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2)) 1/18)) (.f64 (pow.f64 x 1/6) (.f64 (.f64 y (cbrt.f64 2)) (sin.f64 (.f64 -1/3 (.f64 t z)))))) (.f64 (cbrt.f64 2) (.f64 (pow.f64 x 1/6) (cbrt.f64 (cos.f64 (.f64 -1/3 (*.f64 t z)))))))))
(fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2))) (.f64 (pow.f64 x 1/6) (.f64 (pow.f64 y 3) (.f64 (cbrt.f64 2) (fma.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) -1/6 (fma.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 5)) 1/18))) (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) (fma.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) -1/2 (.f64 -1/3 (.f64 (pow.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) 2) (.f64 (pow.f64 (/.f64 1 (cos.f64 (.f64 -1/3 (.f64 t z)))) 1/18) (pow.f64 (/.f64 1 (cos.f64 (.f64 -1/3 (.f64 t z)))) 1/18)))))) (.f64 -1/27 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2))) (pow.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) 3))))))))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2))) (.f64 (pow.f64 x 1/6) (.f64 (.f64 (.f64 y y) (cbrt.f64 2)) (fma.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) -1/2 (.f64 -1/3 (.f64 (pow.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) 2) (.f64 (pow.f64 (/.f64 1 (cos.f64 (.f64 -1/3 (.f64 t z)))) 1/18) (pow.f64 (/.f64 1 (cos.f64 (.f64 -1/3 (.f64 t z)))) 1/18)))))))) (fma.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2)) 1/18)) (.f64 (pow.f64 x 1/6) (.f64 (.f64 y (cbrt.f64 2)) (sin.f64 (.f64 -1/3 (.f64 t z)))))) (.f64 (cbrt.f64 2) (.f64 (pow.f64 x 1/6) (cbrt.f64 (cos.f64 (.f64 -1/3 (*.f64 t z)))))))))
(+.f64 (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2))) (.f64 (pow.f64 x 1/6) (.f64 (.f64 (.f64 y y) (cbrt.f64 2)) (fma.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) -1/2 (.f64 -1/3 (.f64 (pow.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) 2) (.f64 (pow.f64 (/.f64 1 (cos.f64 (.f64 -1/3 (.f64 t z)))) 1/18) (pow.f64 (/.f64 1 (cos.f64 (.f64 -1/3 (.f64 t z)))) 1/18)))))))) (.f64 (cbrt.f64 2) (.f64 (pow.f64 x 1/6) (cbrt.f64 (cos.f64 (.f64 -1/3 (.f64 t z))))))) (.f64 -1/3 (.f64 (pow.f64 x 1/6) (+.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2)) 1/18)) (.f64 (.f64 y (cbrt.f64 2)) (sin.f64 (.f64 -1/3 (.f64 t z))))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2))) (.f64 (pow.f64 y 3) (.f64 (cbrt.f64 2) (fma.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) -1/6 (fma.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 5)) 1/18))) (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) (fma.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) -1/2 (.f64 -1/3 (.f64 (pow.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) 2) (.f64 (pow.f64 (/.f64 1 (cos.f64 (.f64 -1/3 (.f64 t z)))) 1/18) (pow.f64 (/.f64 1 (cos.f64 (.f64 -1/3 (.f64 t z)))) 1/18)))))) (.f64 -1/27 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2))) (pow.f64 (sin.f64 (.f64 -1/3 (*.f64 t z))) 3))))))))))))
(.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) 1/3) (pow.f64 x 1/6))))
(.f64 (.f64 (cbrt.f64 2) (cbrt.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)))) (pow.f64 x 1/6))
(.f64 (cbrt.f64 2) (.f64 (pow.f64 x 1/6) (cbrt.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)))))
(.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) 1/3) (pow.f64 x 1/6))))
(.f64 (.f64 (cbrt.f64 2) (cbrt.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)))) (pow.f64 x 1/6))
(.f64 (cbrt.f64 2) (.f64 (pow.f64 x 1/6) (cbrt.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)))))
(.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) 1/3) (pow.f64 x 1/6))))
(.f64 (.f64 (cbrt.f64 2) (cbrt.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)))) (pow.f64 x 1/6))
(.f64 (cbrt.f64 2) (.f64 (pow.f64 x 1/6) (cbrt.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)))))
(.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) 1/3) (pow.f64 x 1/6))))
(.f64 (.f64 (cbrt.f64 2) (cbrt.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)))) (pow.f64 x 1/6))
(.f64 (cbrt.f64 2) (.f64 (pow.f64 x 1/6) (cbrt.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)))))
(.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) 1/3) (pow.f64 x 1/6))))
(.f64 (.f64 (cbrt.f64 2) (cbrt.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)))) (pow.f64 x 1/6))
(.f64 (cbrt.f64 2) (.f64 (pow.f64 x 1/6) (cbrt.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)))))
(.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) 1/3) (pow.f64 x 1/6))))
(.f64 (.f64 (cbrt.f64 2) (cbrt.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)))) (pow.f64 x 1/6))
(.f64 (cbrt.f64 2) (.f64 (pow.f64 x 1/6) (cbrt.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)))))
(.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) 1/3) (pow.f64 x 1/6))))
(.f64 (.f64 (cbrt.f64 2) (cbrt.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)))) (pow.f64 x 1/6))
(.f64 (cbrt.f64 2) (.f64 (pow.f64 x 1/6) (cbrt.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)))))
(.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) 1/3) (pow.f64 x 1/6))))
(.f64 (.f64 (cbrt.f64 2) (cbrt.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)))) (pow.f64 x 1/6))
(.f64 (cbrt.f64 2) (.f64 (pow.f64 x 1/6) (cbrt.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)))))

eval613.0ms (1.8%)

Compiler: Compiled 27381 to 18037 computations (34.1% saved)

prune347.0ms (1%)

Pruning

105 alts after pruning (103 fresh and 2 done)

	Pruned	Kept	Total
New	729	44	773
Fresh	17	59	76
Picked	1	0	1
Done	3	2	5
Total	750	105	855

Error

16.2b

Counts

855 → 105

Alt Table

Click to see full alt table

Status	Error	Program
	33.0b	(-.f64 (exp.f64 (.f64 (log.f64 (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 x 1/6)))) 3)) (/.f64 a (.f64 b 3)))
	19.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (+.f64 1 (cos.f64 y)) 1)) (/.f64 a (*.f64 b 3)))
	28.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 1/3 t))) 3))) (/.f64 a (*.f64 b 3)))
	37.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (sqrt.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))) 2)) (/.f64 a (.f64 b 3)))
	25.5b	(fma.f64 (sqrt.f64 x) (.f64 2 (sqrt.f64 (pow.f64 (-.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))) 2))) (/.f64 (.f64 a -1/3) b))
	36.8b	(-.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (.f64 2 (-.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))))))) 3)) (/.f64 a (.f64 b 3)))
	22.7b	(-.f64 (.f64 (.f64 (cbrt.f64 (.f64 x (.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2) 4))) (cbrt.f64 (cbrt.f64 (.f64 x (.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2) 4))))) (cbrt.f64 (cbrt.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 (sqrt.f64 x) 2))))) (/.f64 a (.f64 b 3)))
	26.0b	(fma.f64 (sqrt.f64 x) (.f64 2 (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 z (pow.f64 (cbrt.f64 (.f64 t -1/3)) 3) y)) 2))) (/.f64 (*.f64 a -1/3) b))
	37.4b	(fma.f64 (sqrt.f64 x) (.f64 2 (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2))) (/.f64 (expm1.f64 (log1p.f64 (*.f64 -1/3 a))) b))
	28.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (.f64 z (.f64 t -1/3))) 2))) (/.f64 a (*.f64 b 3)))
	23.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 a b) 1/3))
	32.9b	(-.f64 (exp.f64 (log.f64 (.f64 (cos.f64 y) (sqrt.f64 (.f64 x 4))))) (/.f64 a (*.f64 b 3)))
	40.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (pow.f64 (pow.f64 (.f64 z (.f64 1/3 t)) 3) 1/3))) (/.f64 a (*.f64 b 3)))
	28.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (expm1.f64 (log1p.f64 (cos.f64 (.f64 z (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
	28.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (.f64 z 1/3)))) (/.f64 a (*.f64 b 3)))
	28.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (pow.f64 (cbrt.f64 (.f64 -1/3 (.f64 t z))) 3)) 2))) (/.f64 a (*.f64 b 3)))
	47.6b	(-.f64 (.f64 (sqrt.f64 x) (.f64 z (.f64 (.f64 z (cos.f64 y)) (.f64 t (.f64 t -1/9))))) (/.f64 a (*.f64 b 3)))
	28.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 (.f64 z (.f64 1/3 t))) 3))) (/.f64 a (*.f64 b 3)))
	28.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z)))) (/.f64 a (*.f64 b 3)))
	42.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (pow.f64 (pow.f64 (.f64 -1/3 (.f64 t z)) 3) 1/3)) 2))) (/.f64 a (*.f64 b 3)))
	28.0b	(fma.f64 (sqrt.f64 x) (.f64 2 (sqrt.f64 (pow.f64 (cos.f64 (.f64 t (.f64 z -1/3))) 2))) (/.f64 (.f64 a -1/3) b))
	34.7b	(-.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (.f64 t (.f64 z -1/3))))))) 3)) (/.f64 a (.f64 b 3)))
	26.2b	(-.f64 (expm1.f64 (log1p.f64 (.f64 (cos.f64 y) (sqrt.f64 (.f64 x 4))))) (/.f64 a (*.f64 b 3)))
	28.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (.f64 z (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
▶	20.0b	(.f64 1/3 (.f64 3 (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 -1/3 b)))))
	62.0b	(log.f64 (exp.f64 (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 a (/.f64 1/3 b)))))
▶	35.5b	(*.f64 a (/.f64 -1/3 b))
	24.8b	(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
	22.2b	(-.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)))
	53.5b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 t -1/3))) 1/3)) y))) (/.f64 (*.f64 a -1/3) b))
	37.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (exp.f64 (log.f64 (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
	19.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))))) (/.f64 a (*.f64 b 3)))
	35.5b	(/.f64 (*.f64 -1/3 a) b)
	27.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (-.f64 (+.f64 1 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2)) 1))) (/.f64 a (*.f64 b 3)))
	37.9b	(-.f64 (exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 (sqrt.f64 x) 2)) 1/3)) 3)) (/.f64 a (*.f64 b 3)))
	38.2b	(-.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 (sqrt.f64 x) 2)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 (sqrt.f64 x) 2))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 (sqrt.f64 x) 2)))))) (/.f64 a (.f64 b 3)))
	19.8b	(fma.f64 (cbrt.f64 (.f64 x 4)) (.f64 (cbrt.f64 (.f64 2 (sqrt.f64 x))) (cos.f64 y)) (.f64 a (neg.f64 (/.f64 1/3 b))))
	28.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 z (.f64 1/3 t)))) 3)) (/.f64 a (*.f64 b 3)))
✓	35.7b	(*.f64 -1/3 (/.f64 a b))
	32.9b	(-.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))))) 3)) (/.f64 a (.f64 b 3)))
	26.0b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 y) (sqrt.f64 (.f64 x 4))) 3)) (/.f64 a (*.f64 b 3)))
	22.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 (pow.f64 (cos.f64 y) 6)))) (/.f64 a (*.f64 b 3)))
	32.3b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 (sin.f64 y) (.f64 t z)) 2/3) (.f64 (cos.f64 y) (+.f64 (.f64 -1/9 (.f64 (.f64 t z) (.f64 t z))) 2)))) (/.f64 a (.f64 b 3)))
	27.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (.f64 -1/3 (.f64 t z)))))))) (/.f64 a (*.f64 b 3)))
	35.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 y))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 y))) (sin.f64 1)))) (/.f64 a (*.f64 b 3)))
	35.5b	(/.f64 1 (/.f64 b (*.f64 -1/3 a)))
	22.8b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))) 3) (/.f64 a (.f64 b 3)))
	36.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (cbrt.f64 (pow.f64 (.f64 1/3 t) 3))))) (/.f64 a (*.f64 b 3)))
	26.5b	(-.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)))
	22.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (/.f64 (/.f64 3 z) t) -1)))) (/.f64 a (*.f64 b 3)))
	46.4b	(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))
	46.3b	(expm1.f64 (log1p.f64 (*.f64 -1/3 (/.f64 a b))))
	35.5b	(/.f64 -1/3 (/.f64 b a))
	40.1b	(-.f64 (pow.f64 (pow.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))) 3) 1/3) (/.f64 a (.f64 b 3)))
	34.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (fma.f64 y (.f64 -3/2 y) 1))) (/.f64 a (.f64 b 3)))
	41.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (log.f64 (pow.f64 (exp.f64 1/3) t))))) (/.f64 a (.f64 b 3)))
	22.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) 3) (pow.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) 3)) (fma.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (-.f64 (.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))) (.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))))))) (/.f64 a (*.f64 b 3)))
	22.6b	(-.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x 4))) (/.f64 a (*.f64 b 3)))
	40.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.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))) 2))) (/.f64 a (*.f64 b 3)))
	54.5b	(fma.f64 (sqrt.f64 x) (.f64 2 (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 z (exp.f64 (log.f64 (.f64 t -1/3))) y)) 2))) (/.f64 (*.f64 a -1/3) b))
	19.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 y)))) (/.f64 a (*.f64 b 3)))
	39.2b	(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 a b))) 1)
	39.3b	(-.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (pow.f64 (cbrt.f64 (.f64 t -1/3)) 3) y)))))) 3)) (/.f64 a (*.f64 b 3)))
	39.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (sqrt.f64 (pow.f64 (/.f64 (/.f64 a 3) b) 2)))
	22.4b	(-.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)))
	37.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (sqrt.f64 (.f64 1/3 t)) 2)))) (/.f64 a (*.f64 b 3)))
	42.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (exp.f64 (log.f64 (.f64 -1/3 (.f64 t z))))) 2))) (/.f64 a (*.f64 b 3)))
	19.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1 b) (/.f64 a 3)))
	35.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (expm1.f64 (log1p.f64 (.f64 z (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
▶	28.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (cbrt.f64 (.f64 1/3 t)) 3)))) (/.f64 a (*.f64 b 3)))
	22.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))))) (/.f64 a (*.f64 b 3)))
	19.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 y)) 3)) (/.f64 a (*.f64 b 3)))
	47.4b	(pow.f64 (sqrt.f64 (*.f64 -1/3 (/.f64 a b))) 2)
	38.1b	(-.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 (sqrt.f64 x) 2)))) 2)) (cbrt.f64 (log.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 (sqrt.f64 x) 2))))) (/.f64 a (*.f64 b 3)))
▶	33.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (expm1.f64 (log1p.f64 (.f64 -1/3 (.f64 t z))))) 2))) (/.f64 a (*.f64 b 3)))
	45.6b	(-.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (.f64 2 (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 z (.f64 t -1/3) y)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 z (.f64 t -1/3) y)))) (sin.f64 1))))))) 3)) (/.f64 a (.f64 b 3)))
	38.0b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (log.f64 (+.f64 1 (expm1.f64 (.f64 t -1/3)))) y))) (/.f64 (*.f64 a -1/3) b))
	39.8b	(fma.f64 (sqrt.f64 x) (.f64 2 (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 z (-.f64 (exp.f64 (log1p.f64 (.f64 t -1/3))) 1) y)) 2))) (/.f64 (*.f64 a -1/3) b))
	24.5b	(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
	39.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (pow.f64 (.f64 1/3 t) 3) 1/3)))) (/.f64 a (*.f64 b 3)))
	36.1b	(pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 3)
	22.6b	(-.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) 2) (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2))) (cbrt.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))) (/.f64 a (.f64 b 3)))
	25.0b	(-.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 y) (sqrt.f64 (.f64 x 4)))) 1) (/.f64 a (*.f64 b 3)))
	34.8b	(pow.f64 (sqrt.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))) 2)
	38.1b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) t))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) t)))) y))) (/.f64 (.f64 a -1/3) b))
	22.0b	(-.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)))
	30.5b	(-.f64 (expm1.f64 (log1p.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))))) (/.f64 a (.f64 b 3)))
	38.9b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 y -2) (sin.f64 (.f64 t (.f64 z -1/3)))) (.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (-.f64 2 (.f64 y y))))) (/.f64 a (.f64 b 3)))
▶	19.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
	35.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (cbrt.f64 (pow.f64 (.f64 -1/3 (.f64 t z)) 3))) 2))) (/.f64 a (*.f64 b 3)))
	19.8b	(.f64 3 (.f64 1/3 (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 -1/3 b)))))
✓	28.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 1/3 t)))) (/.f64 a (*.f64 b 3)))
	56.3b	(pow.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3) 1/3)
	39.9b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 2 (.f64 (.f64 t z) (+.f64 (.f64 2/3 y) (.f64 t (.f64 z -1/9)))))) (/.f64 a (*.f64 b 3)))
	20.2b	(pow.f64 (cbrt.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))) 3)
	37.4b	(-.f64 (.f64 2 (.f64 (cos.f64 (fma.f64 -1/3 (.f64 t z) y)) (neg.f64 (sqrt.f64 x)))) (/.f64 a (.f64 b 3)))
	28.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (-.f64 (+.f64 1 (.f64 1/3 t)) 1)))) (/.f64 a (*.f64 b 3)))
	44.6b	(fma.f64 (sqrt.f64 x) (.f64 2 (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 z (pow.f64 (pow.f64 (.f64 t -1/3) 3) 1/3) y)) 2))) (/.f64 (*.f64 a -1/3) b))
	31.8b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 y -2) (sin.f64 (.f64 t (.f64 z -1/3)))) (.f64 2 (cos.f64 (.f64 t (.f64 z -1/3)))))) (/.f64 a (*.f64 b 3)))
	27.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 -1/3 (.f64 t z)))) 3) 2))) (/.f64 a (*.f64 b 3)))
	26.9b	(-.f64 (exp.f64 (.f64 (log.f64 (sqrt.f64 (cbrt.f64 (.f64 x (.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2) 4))))) 3)) (/.f64 a (*.f64 b 3)))
	48.7b	(pow.f64 (pow.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 3) 1/3)
	44.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (pow.f64 (sqrt.f64 (.f64 z (.f64 1/3 t))) 2))) (/.f64 a (*.f64 b 3)))
	22.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 z 3) t)))) (/.f64 a (.f64 b 3)))
	37.4b	(fma.f64 -1/3 (/.f64 a b) (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))))

Compiler

Compiled 5712 to 4481 computations (21.6% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 48 to 27 computations (43.8% saved)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 a (/.f64 -1/3 b))
✓	0.4b	(/.f64 -1/3 b)

Compiler

Compiled 17 to 12 computations (29.4% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

9 calls:

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

rewrite60.0ms (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	11
1	128	11
2	1558	11

Stop Event

1×	node limit

Counts

2 → 40

Calls

Call 1

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

Outputs

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

simplify14.0ms (0%)

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

64 → 41

Calls

Call 1

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

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

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 a (/.f64 -1/3 b))
✓	0.3b	(.f64 3 (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 -1/3 b))))
	0.4b	(/.f64 -1/3 b)
✓	0.6b	(.f64 1/3 (.f64 3 (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 -1/3 b)))))

Compiler

Compiled 73 to 39 computations (46.6% saved)

series13.0ms (0%)

Counts

2 → 74

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(.f64 3 (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 -1/3 b))))
1.0ms	x	@	-inf	(.f64 3 (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 -1/3 b))))
1.0ms	x	@	inf	(.f64 3 (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 -1/3 b))))
1.0ms	x	@	-inf	(.f64 1/3 (.f64 3 (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 -1/3 b)))))
1.0ms	x	@	0	(.f64 1/3 (.f64 3 (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 -1/3 b)))))

rewrite79.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

720×	`log-prod_binary64`
393×	`pow2_binary64`
277×	`expm1-udef_binary64`
277×	`log1p-udef_binary64`
276×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	39
1	350	39
2	3753	39

Stop Event

1×	node limit

Counts

2 → 76

Calls

Call 1

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

Outputs

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

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

simplify75.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

809×	`distribute-rgt-neg-in_binary64`
751×	`distribute-rgt-out_binary64`
737×	`distribute-lft-neg-in_binary64`
616×	`associate-l_binary64`
488×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	1392
1	149	1272
2	460	1233
3	1486	1225
4	4658	1225

Stop Event

1×	node limit

Counts

150 → 105

Calls

Call 1

Inputs
(*.f64 -1/3 (/.f64 a b))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b))))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/12 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (+.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))))
(+.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 (.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)))
(*.f64 -1 (/.f64 a b))
(.f64 3 (+.f64 (.f64 2 (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b))))
(+.f64 (.f64 -3 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (.f64 3 (+.f64 (.f64 2 (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b)))))
(+.f64 (.f64 -3 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 3 (+.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))) (.f64 1/4 (*.f64 (pow.f64 y 4) (sqrt.f64 x)))))
(+.f64 (.f64 -3 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 3 (+.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))) (+.f64 (.f64 -1/120 (.f64 (pow.f64 y 6) (sqrt.f64 x))) (.f64 1/4 (*.f64 (pow.f64 y 4) (sqrt.f64 x))))))
(.f64 3 (+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 -1/3 (/.f64 a b))))
(.f64 3 (+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 -1/3 (/.f64 a b))))
(.f64 3 (+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 -1/3 (/.f64 a b))))
(.f64 3 (+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 -1/3 (/.f64 a b))))
(.f64 3 (+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 -1/3 (/.f64 a b))))
(.f64 3 (+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 -1/3 (/.f64 a b))))
(.f64 3 (+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 -1/3 (/.f64 a b))))
(.f64 3 (+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 -1/3 (/.f64 a b))))
(.f64 6 (.f64 (cos.f64 y) (sqrt.f64 x)))
(+.f64 (.f64 -1 (/.f64 a b)) (.f64 6 (*.f64 (cos.f64 y) (sqrt.f64 x))))
(+.f64 (.f64 -1 (/.f64 a b)) (.f64 6 (*.f64 (cos.f64 y) (sqrt.f64 x))))
(+.f64 (.f64 -1 (/.f64 a b)) (.f64 6 (*.f64 (cos.f64 y) (sqrt.f64 x))))
(*.f64 -1 (/.f64 a b))
(+.f64 (.f64 -1 (/.f64 a b)) (.f64 6 (*.f64 (cos.f64 y) (sqrt.f64 x))))
(+.f64 (.f64 -1 (/.f64 a b)) (.f64 6 (*.f64 (cos.f64 y) (sqrt.f64 x))))
(+.f64 (.f64 -1 (/.f64 a b)) (.f64 6 (*.f64 (cos.f64 y) (sqrt.f64 x))))
(*.f64 -1 (/.f64 a b))
(+.f64 (.f64 -1 (/.f64 a b)) (.f64 6 (*.f64 (cos.f64 y) (sqrt.f64 x))))
(+.f64 (.f64 -1 (/.f64 a b)) (.f64 6 (*.f64 (cos.f64 y) (sqrt.f64 x))))
(+.f64 (.f64 -1 (/.f64 a b)) (.f64 6 (*.f64 (cos.f64 y) (sqrt.f64 x))))
(*.f64 -1 (/.f64 a b))
(+.f64 (.f64 -1 (/.f64 a b)) (.f64 6 (*.f64 (cos.f64 y) (sqrt.f64 x))))
(+.f64 (.f64 -1 (/.f64 a b)) (.f64 6 (*.f64 (cos.f64 y) (sqrt.f64 x))))
(+.f64 (.f64 -1 (/.f64 a b)) (.f64 6 (*.f64 (cos.f64 y) (sqrt.f64 x))))
(.f64 6 (.f64 (cos.f64 y) (sqrt.f64 x)))
(+.f64 (.f64 -1 (/.f64 a b)) (.f64 6 (*.f64 (cos.f64 y) (sqrt.f64 x))))
(+.f64 (.f64 -1 (/.f64 a b)) (.f64 6 (*.f64 (cos.f64 y) (sqrt.f64 x))))
(+.f64 (.f64 -1 (/.f64 a b)) (.f64 6 (*.f64 (cos.f64 y) (sqrt.f64 x))))
(.f64 6 (.f64 (cos.f64 y) (sqrt.f64 x)))
(+.f64 (.f64 -1 (/.f64 a b)) (.f64 6 (*.f64 (cos.f64 y) (sqrt.f64 x))))
(+.f64 (.f64 -1 (/.f64 a b)) (.f64 6 (*.f64 (cos.f64 y) (sqrt.f64 x))))
(+.f64 (.f64 -1 (/.f64 a b)) (.f64 6 (*.f64 (cos.f64 y) (sqrt.f64 x))))

Outputs
(*.f64 -1/3 (/.f64 a b))
(*.f64 a (/.f64 -1/3 b))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (sqrt.f64 x) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 2 (sqrt.f64 x)))
(fma.f64 2 (sqrt.f64 x) (*.f64 a (/.f64 -1/3 b)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b))))
(fma.f64 -1 (.f64 (sqrt.f64 x) (.f64 y y)) (fma.f64 2 (sqrt.f64 x) (*.f64 -1/3 (/.f64 a b))))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 (sqrt.f64 x) (+.f64 (neg.f64 (*.f64 y y)) 2)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (sqrt.f64 x) (fma.f64 (neg.f64 y) y 2)))
(fma.f64 -1/3 (/.f64 a b) (.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 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))))
(fma.f64 -1 (.f64 (sqrt.f64 x) (.f64 y y)) (fma.f64 1/12 (.f64 (sqrt.f64 x) (pow.f64 y 4)) (fma.f64 2 (sqrt.f64 x) (.f64 -1/3 (/.f64 a b)))))
(-.f64 (+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 (sqrt.f64 x) (+.f64 (.f64 1/12 (pow.f64 y 4)) 2))) (.f64 (*.f64 (sqrt.f64 x) y) y))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 (sqrt.f64 x) (+.f64 (*.f64 y (neg.f64 y)) (fma.f64 1/12 (pow.f64 y 4) 2))))
(-.f64 (.f64 -1/3 (/.f64 a b)) (.f64 (sqrt.f64 x) (-.f64 (*.f64 y y) (fma.f64 1/12 (pow.f64 y 4) 2))))
(+.f64 (.f64 a (/.f64 -1/3 b)) (.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 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b))))))
(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)) (fma.f64 2 (sqrt.f64 x) (*.f64 -1/3 (/.f64 a b))))))
(+.f64 (+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 (sqrt.f64 x) (+.f64 (.f64 1/12 (pow.f64 y 4)) 2))) (.f64 (sqrt.f64 x) (+.f64 (.f64 -1/360 (pow.f64 y 6)) (neg.f64 (.f64 y y)))))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.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 (.f64 a (/.f64 -1/3 b)) (.f64 (sqrt.f64 x) (+.f64 (.f64 y (-.f64 (.f64 -1/360 (pow.f64 y 5)) y)) (fma.f64 1/12 (pow.f64 y 4) 2))))
(+.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 -1/3 (/.f64 a b) (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))))
(fma.f64 -1/3 (/.f64 a b) (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))))
(fma.f64 -1/3 (/.f64 a b) (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))))
(fma.f64 -1/3 (/.f64 a b) (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))))
(fma.f64 -1/3 (/.f64 a b) (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))))
(fma.f64 -1/3 (/.f64 a b) (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))))
(fma.f64 -1/3 (/.f64 a b) (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))))
(fma.f64 -1/3 (/.f64 a b) (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
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(-.f64 (.f64 (sqrt.f64 x) (.f64 6 (cos.f64 y))) (/.f64 a b))
(fma.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 6) (/.f64 (neg.f64 a) b))
(-.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 6)) (/.f64 a b))
(*.f64 -1 (/.f64 a b))
(neg.f64 (/.f64 a b))
(/.f64 (neg.f64 a) b)
(+.f64 (.f64 -1 (/.f64 a b)) (.f64 6 (*.f64 (cos.f64 y) (sqrt.f64 x))))
(.f64 (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b))) 3)
(-.f64 (.f64 6 (.f64 (sqrt.f64 x) (cos.f64 y))) (/.f64 a b))
(-.f64 (.f64 (sqrt.f64 x) (.f64 6 (cos.f64 y))) (/.f64 a b))
(fma.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 6) (/.f64 (neg.f64 a) b))
(-.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 6)) (/.f64 a b))
(+.f64 (.f64 -1 (/.f64 a b)) (.f64 6 (*.f64 (cos.f64 y) (sqrt.f64 x))))
(.f64 (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b))) 3)
(-.f64 (.f64 6 (.f64 (sqrt.f64 x) (cos.f64 y))) (/.f64 a b))
(-.f64 (.f64 (sqrt.f64 x) (.f64 6 (cos.f64 y))) (/.f64 a b))
(fma.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 6) (/.f64 (neg.f64 a) b))
(-.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 6)) (/.f64 a b))
(+.f64 (.f64 -1 (/.f64 a b)) (.f64 6 (*.f64 (cos.f64 y) (sqrt.f64 x))))
(.f64 (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b))) 3)
(-.f64 (.f64 6 (.f64 (sqrt.f64 x) (cos.f64 y))) (/.f64 a b))
(-.f64 (.f64 (sqrt.f64 x) (.f64 6 (cos.f64 y))) (/.f64 a b))
(fma.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 6) (/.f64 (neg.f64 a) b))
(-.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 6)) (/.f64 a b))
(*.f64 -1 (/.f64 a b))
(neg.f64 (/.f64 a b))
(/.f64 (neg.f64 a) b)
(+.f64 (.f64 -1 (/.f64 a b)) (.f64 6 (*.f64 (cos.f64 y) (sqrt.f64 x))))
(.f64 (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b))) 3)
(-.f64 (.f64 6 (.f64 (sqrt.f64 x) (cos.f64 y))) (/.f64 a b))
(-.f64 (.f64 (sqrt.f64 x) (.f64 6 (cos.f64 y))) (/.f64 a b))
(fma.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 6) (/.f64 (neg.f64 a) b))
(-.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 6)) (/.f64 a b))
(+.f64 (.f64 -1 (/.f64 a b)) (.f64 6 (*.f64 (cos.f64 y) (sqrt.f64 x))))
(.f64 (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b))) 3)
(-.f64 (.f64 6 (.f64 (sqrt.f64 x) (cos.f64 y))) (/.f64 a b))
(-.f64 (.f64 (sqrt.f64 x) (.f64 6 (cos.f64 y))) (/.f64 a b))
(fma.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 6) (/.f64 (neg.f64 a) b))
(-.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 6)) (/.f64 a b))
(+.f64 (.f64 -1 (/.f64 a b)) (.f64 6 (*.f64 (cos.f64 y) (sqrt.f64 x))))
(.f64 (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b))) 3)
(-.f64 (.f64 6 (.f64 (sqrt.f64 x) (cos.f64 y))) (/.f64 a b))
(-.f64 (.f64 (sqrt.f64 x) (.f64 6 (cos.f64 y))) (/.f64 a b))
(fma.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 6) (/.f64 (neg.f64 a) b))
(-.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 6)) (/.f64 a b))
(.f64 6 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 6 (.f64 (sqrt.f64 x) (cos.f64 y)))
(.f64 (sqrt.f64 x) (.f64 6 (cos.f64 y)))
(.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 6))
(+.f64 (.f64 -1 (/.f64 a b)) (.f64 6 (*.f64 (cos.f64 y) (sqrt.f64 x))))
(.f64 (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b))) 3)
(-.f64 (.f64 6 (.f64 (sqrt.f64 x) (cos.f64 y))) (/.f64 a b))
(-.f64 (.f64 (sqrt.f64 x) (.f64 6 (cos.f64 y))) (/.f64 a b))
(fma.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 6) (/.f64 (neg.f64 a) b))
(-.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 6)) (/.f64 a b))
(+.f64 (.f64 -1 (/.f64 a b)) (.f64 6 (*.f64 (cos.f64 y) (sqrt.f64 x))))
(.f64 (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b))) 3)
(-.f64 (.f64 6 (.f64 (sqrt.f64 x) (cos.f64 y))) (/.f64 a b))
(-.f64 (.f64 (sqrt.f64 x) (.f64 6 (cos.f64 y))) (/.f64 a b))
(fma.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 6) (/.f64 (neg.f64 a) b))
(-.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 6)) (/.f64 a b))
(+.f64 (.f64 -1 (/.f64 a b)) (.f64 6 (*.f64 (cos.f64 y) (sqrt.f64 x))))
(.f64 (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b))) 3)
(-.f64 (.f64 6 (.f64 (sqrt.f64 x) (cos.f64 y))) (/.f64 a b))
(-.f64 (.f64 (sqrt.f64 x) (.f64 6 (cos.f64 y))) (/.f64 a b))
(fma.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 6) (/.f64 (neg.f64 a) b))
(-.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 6)) (/.f64 a b))
(.f64 6 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 6 (.f64 (sqrt.f64 x) (cos.f64 y)))
(.f64 (sqrt.f64 x) (.f64 6 (cos.f64 y)))
(.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 6))
(+.f64 (.f64 -1 (/.f64 a b)) (.f64 6 (*.f64 (cos.f64 y) (sqrt.f64 x))))
(.f64 (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b))) 3)
(-.f64 (.f64 6 (.f64 (sqrt.f64 x) (cos.f64 y))) (/.f64 a b))
(-.f64 (.f64 (sqrt.f64 x) (.f64 6 (cos.f64 y))) (/.f64 a b))
(fma.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 6) (/.f64 (neg.f64 a) b))
(-.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 6)) (/.f64 a b))
(+.f64 (.f64 -1 (/.f64 a b)) (.f64 6 (*.f64 (cos.f64 y) (sqrt.f64 x))))
(.f64 (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b))) 3)
(-.f64 (.f64 6 (.f64 (sqrt.f64 x) (cos.f64 y))) (/.f64 a b))
(-.f64 (.f64 (sqrt.f64 x) (.f64 6 (cos.f64 y))) (/.f64 a b))
(fma.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 6) (/.f64 (neg.f64 a) b))
(-.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 6)) (/.f64 a b))
(+.f64 (.f64 -1 (/.f64 a b)) (.f64 6 (*.f64 (cos.f64 y) (sqrt.f64 x))))
(.f64 (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b))) 3)
(-.f64 (.f64 6 (.f64 (sqrt.f64 x) (cos.f64 y))) (/.f64 a b))
(-.f64 (.f64 (sqrt.f64 x) (.f64 6 (cos.f64 y))) (/.f64 a b))
(fma.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 6) (/.f64 (neg.f64 a) b))
(-.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 6)) (/.f64 a b))

localize45.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 1/3 t)
✓	0.6b	(cbrt.f64 (*.f64 1/3 t))
✓	0.8b	(pow.f64 (cbrt.f64 (*.f64 1/3 t)) 3)
✓	30.7b	(cos.f64 (.f64 z (pow.f64 (cbrt.f64 (.f64 1/3 t)) 3)))

Compiler

Compiled 92 to 64 computations (30.4% saved)

series9.0ms (0%)

Counts

3 → 24

Calls

12 calls:

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

rewrite65.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

806×	`pow1_binary64`
751×	`add-log-exp_binary64`
751×	`log1p-expm1-u_binary64`
751×	`expm1-log1p-u_binary64`
734×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	207	19
2	2086	19

Stop Event

1×	node limit

Counts

3 → 65

Calls

Call 1

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

Outputs

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

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

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

simplify209.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 6 (0.0ms)

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

Stop Event

1×	node limit

Counts

89 → 74

Calls

Call 1

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

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

localize51.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 -1/3 (.f64 t z))
✓	1.2b	(expm1.f64 (log1p.f64 (.f64 -1/3 (.f64 t z))))
✓	3.9b	(log1p.f64 (.f64 -1/3 (.f64 t z)))
✓	14.9b	(cos.f64 (expm1.f64 (log1p.f64 (.f64 -1/3 (.f64 t z)))))

Compiler

Compiled 116 to 73 computations (37.1% saved)

series9.0ms (0%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	t	@	-inf	(cos.f64 (expm1.f64 (log1p.f64 (.f64 -1/3 (.f64 t z)))))
1.0ms	z	@	-inf	(log1p.f64 (.f64 -1/3 (.f64 t z)))
1.0ms	t	@	inf	(log1p.f64 (.f64 -1/3 (.f64 t z)))
1.0ms	t	@	0	(log1p.f64 (.f64 -1/3 (.f64 t z)))
1.0ms	z	@	inf	(log1p.f64 (.f64 -1/3 (.f64 t z)))

rewrite75.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

737×	`pow1_binary64`
680×	`expm1-log1p-u_binary64`
679×	`add-log-exp_binary64`
679×	`log1p-expm1-u_binary64`
665×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	161	25
2	1835	25

Stop Event

1×	node limit

Counts

3 → 63

Calls

Call 1

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

Outputs

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

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

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

simplify74.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

737×	`associate-/r*_binary64`
553×	`unswap-sqr_binary64`
473×	`sub-neg_binary64`
393×	`fma-def_binary64`
352×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	96	1228
1	283	1184
2	943	1174
3	4171	1158

Stop Event

1×	node limit

Counts

135 → 107

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)))
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Outputs
1
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(-.f64 (-.f64 (log.f64 (.f64 z 1/3)) (log.f64 (/.f64 -1 t))) (+.f64 (/.f64 3 (.f64 t z)) (+.f64 (/.f64 9/2 (.f64 (.f64 (*.f64 z z) t) t)) (/.f64 (/.f64 9 (pow.f64 z 3)) (pow.f64 t 3)))))
(+.f64 (-.f64 (log.f64 (.f64 z 1/3)) (log.f64 (/.f64 -1 t))) (-.f64 (+.f64 (/.f64 -3 (.f64 t z)) (/.f64 -9/2 (.f64 (.f64 t z) (.f64 t z)))) (/.f64 9 (.f64 (pow.f64 t 3) (pow.f64 z 3)))))
(+.f64 (log.f64 (.f64 z 1/3)) (+.f64 (-.f64 (/.f64 -3 (.f64 t z)) (log.f64 (/.f64 -1 t))) (-.f64 (/.f64 -9/2 (.f64 (.f64 t z) (*.f64 t z))) (/.f64 (/.f64 9 (pow.f64 z 3)) (pow.f64 t 3)))))
(.f64 -1/3 (.f64 t z))
(.f64 t (.f64 z -1/3))
(.f64 z (.f64 t -1/3))
(+.f64 (.f64 -1/3 (.f64 t z)) (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(fma.f64 -1/3 (.f64 t z) (.f64 -1/18 (.f64 (.f64 t t) (*.f64 z z))))
(fma.f64 -1/18 (.f64 (.f64 (.f64 z z) t) t) (.f64 t (*.f64 z -1/3)))
(.f64 z (+.f64 (.f64 -1/18 (.f64 t (.f64 t z))) (*.f64 t -1/3)))
(.f64 (.f64 t z) (+.f64 (.f64 -1/18 (.f64 t z)) -1/3))
(+.f64 (.f64 -1/3 (.f64 t z)) (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (.f64 -1/81 (.f64 (pow.f64 t 3) (pow.f64 z 3)))))
(fma.f64 -1/3 (.f64 t z) (fma.f64 -1/18 (.f64 (.f64 t t) (.f64 z z)) (.f64 -1/81 (.f64 (pow.f64 t 3) (pow.f64 z 3)))))
(fma.f64 -1/3 (.f64 t z) (fma.f64 -1/18 (.f64 (.f64 (.f64 z z) t) t) (.f64 -1/81 (.f64 (pow.f64 t 3) (pow.f64 z 3)))))
(fma.f64 t (.f64 z -1/3) (.f64 (.f64 z z) (+.f64 (.f64 -1/18 (.f64 t t)) (.f64 z (*.f64 -1/81 (pow.f64 t 3))))))
(fma.f64 (pow.f64 t 3) (.f64 -1/81 (pow.f64 z 3)) (.f64 (.f64 t z) (+.f64 (.f64 -1/18 (*.f64 t z)) -1/3)))
(+.f64 (.f64 -1/3 (.f64 t z)) (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (+.f64 (.f64 -1/324 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (.f64 -1/81 (.f64 (pow.f64 t 3) (pow.f64 z 3))))))
(fma.f64 -1/3 (.f64 t z) (fma.f64 -1/18 (.f64 (.f64 t t) (.f64 z z)) (fma.f64 -1/324 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (.f64 -1/81 (*.f64 (pow.f64 t 3) (pow.f64 z 3))))))
(fma.f64 -1/3 (.f64 t z) (fma.f64 -1/18 (.f64 (.f64 (.f64 z z) t) t) (fma.f64 (.f64 (pow.f64 t 4) (pow.f64 z 4)) -1/324 (.f64 -1/81 (*.f64 (pow.f64 t 3) (pow.f64 z 3))))))
(fma.f64 t (.f64 z -1/3) (fma.f64 (pow.f64 t 4) (.f64 (pow.f64 z 4) -1/324) (.f64 (.f64 z z) (+.f64 (.f64 -1/18 (.f64 t t)) (.f64 z (.f64 -1/81 (pow.f64 t 3)))))))
(+.f64 (.f64 (.f64 t z) (+.f64 (.f64 -1/18 (.f64 t z)) -1/3)) (.f64 (pow.f64 t 3) (+.f64 (.f64 -1/81 (pow.f64 z 3)) (.f64 (.f64 (pow.f64 z 4) -1/324) t))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (.f64 -1/3 t)))
(fma.f64 -1 (neg.f64 (log.f64 t)) (log.f64 (*.f64 z -1/3)))
(+.f64 (log.f64 (*.f64 z -1/3)) (log.f64 t))
(+.f64 (log.f64 (*.f64 t -1/3)) (log.f64 z))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (.f64 -1/3 t))) (.f64 3 (/.f64 1 (.f64 t z))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 t)) (log.f64 (.f64 z -1/3))) (/.f64 3 (.f64 t z)))
(+.f64 (log.f64 (.f64 z -1/3)) (+.f64 (log.f64 t) (/.f64 -3 (.f64 t z))))
(+.f64 (log.f64 (.f64 t -1/3)) (-.f64 (log.f64 z) (/.f64 3 (.f64 t z))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (.f64 -1/3 t))) (+.f64 (.f64 3 (/.f64 1 (.f64 t z))) (.f64 9/2 (/.f64 1 (.f64 (pow.f64 t 2) (pow.f64 z 2))))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 t)) (log.f64 (.f64 z -1/3))) (+.f64 (/.f64 3 (.f64 t z)) (/.f64 9/2 (.f64 (.f64 t t) (*.f64 z z)))))
(+.f64 (log.f64 (.f64 z -1/3)) (-.f64 (log.f64 t) (+.f64 (/.f64 3 (.f64 t z)) (/.f64 9/2 (.f64 (.f64 (*.f64 z z) t) t)))))
(+.f64 (+.f64 (log.f64 (.f64 t -1/3)) (-.f64 (log.f64 z) (/.f64 3 (.f64 t z)))) (/.f64 -9/2 (.f64 (.f64 t z) (*.f64 t z))))
(+.f64 (log.f64 (.f64 t -1/3)) (+.f64 (log.f64 z) (-.f64 (/.f64 -9/2 (.f64 (.f64 t z) (.f64 t z))) (/.f64 3 (*.f64 t z)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (.f64 -1/3 t))) (+.f64 (.f64 3 (/.f64 1 (.f64 t z))) (+.f64 (.f64 9 (/.f64 1 (.f64 (pow.f64 t 3) (pow.f64 z 3)))) (.f64 9/2 (/.f64 1 (.f64 (pow.f64 t 2) (pow.f64 z 2)))))))
(-.f64 (-.f64 (fma.f64 -1 (neg.f64 (log.f64 t)) (log.f64 (.f64 z -1/3))) (/.f64 3 (.f64 t z))) (+.f64 (/.f64 9/2 (.f64 (.f64 t t) (.f64 z z))) (/.f64 9 (.f64 (pow.f64 t 3) (pow.f64 z 3)))))
(-.f64 (+.f64 (log.f64 (.f64 z -1/3)) (+.f64 (log.f64 t) (/.f64 -3 (.f64 t z)))) (+.f64 (/.f64 9/2 (.f64 (.f64 (*.f64 z z) t) t)) (/.f64 (/.f64 9 (pow.f64 z 3)) (pow.f64 t 3))))
(+.f64 (log.f64 (.f64 z -1/3)) (-.f64 (+.f64 (log.f64 t) (/.f64 -3 (.f64 t z))) (+.f64 (/.f64 9/2 (.f64 (.f64 t z) (.f64 t z))) (/.f64 9 (.f64 (pow.f64 t 3) (pow.f64 z 3))))))
(+.f64 (log.f64 (.f64 t -1/3)) (+.f64 (-.f64 (log.f64 z) (/.f64 3 (.f64 t z))) (-.f64 (/.f64 -9/2 (.f64 (.f64 t z) (*.f64 t z))) (/.f64 (/.f64 9 (pow.f64 z 3)) (pow.f64 t 3)))))
(+.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 (+.f64 (log.f64 (.f64 1/3 t)) (.f64 -1 (log.f64 (/.f64 -1 z)))) (.f64 3 (/.f64 1 (.f64 t z))))
(+.f64 (log.f64 (.f64 t 1/3)) (-.f64 (neg.f64 (log.f64 (/.f64 -1 z))) (/.f64 3 (.f64 t z))))
(+.f64 (-.f64 (log.f64 (.f64 t 1/3)) (log.f64 (/.f64 -1 z))) (/.f64 -3 (.f64 t z)))
(+.f64 (log.f64 (.f64 t 1/3)) (-.f64 (/.f64 -3 (.f64 t z)) (log.f64 (/.f64 -1 z))))
(-.f64 (+.f64 (log.f64 (.f64 1/3 t)) (.f64 -1 (log.f64 (/.f64 -1 z)))) (+.f64 (.f64 3 (/.f64 1 (.f64 t z))) (.f64 9/2 (/.f64 1 (.f64 (pow.f64 t 2) (pow.f64 z 2))))))
(-.f64 (+.f64 (log.f64 (.f64 t 1/3)) (neg.f64 (log.f64 (/.f64 -1 z)))) (+.f64 (/.f64 3 (.f64 t z)) (/.f64 9/2 (.f64 (.f64 t t) (*.f64 z z)))))
(+.f64 (-.f64 (log.f64 (.f64 t 1/3)) (log.f64 (/.f64 -1 z))) (-.f64 (/.f64 -3 (.f64 t z)) (/.f64 9/2 (.f64 (.f64 (*.f64 z z) t) t))))
(+.f64 (-.f64 (log.f64 (.f64 t 1/3)) (log.f64 (/.f64 -1 z))) (+.f64 (/.f64 -3 (.f64 t z)) (/.f64 -9/2 (.f64 (.f64 t z) (*.f64 t z)))))
(+.f64 (log.f64 (.f64 t 1/3)) (-.f64 (-.f64 (/.f64 -9/2 (.f64 (.f64 t z) (.f64 t z))) (/.f64 3 (*.f64 t z))) (log.f64 (/.f64 -1 z))))
(-.f64 (+.f64 (log.f64 (.f64 1/3 t)) (.f64 -1 (log.f64 (/.f64 -1 z)))) (+.f64 (.f64 3 (/.f64 1 (.f64 t z))) (+.f64 (.f64 9 (/.f64 1 (.f64 (pow.f64 t 3) (pow.f64 z 3)))) (.f64 9/2 (/.f64 1 (.f64 (pow.f64 t 2) (pow.f64 z 2)))))))
(+.f64 (log.f64 (.f64 t 1/3)) (-.f64 (neg.f64 (log.f64 (/.f64 -1 z))) (+.f64 (/.f64 3 (.f64 t z)) (+.f64 (/.f64 9/2 (.f64 (.f64 t t) (.f64 z z))) (/.f64 9 (.f64 (pow.f64 t 3) (pow.f64 z 3)))))))
(+.f64 (-.f64 (log.f64 (.f64 t 1/3)) (log.f64 (/.f64 -1 z))) (-.f64 (/.f64 -3 (.f64 t z)) (+.f64 (/.f64 9/2 (.f64 (.f64 (*.f64 z z) t) t)) (/.f64 (/.f64 9 (pow.f64 z 3)) (pow.f64 t 3)))))
(+.f64 (-.f64 (log.f64 (.f64 t 1/3)) (log.f64 (/.f64 -1 z))) (-.f64 (+.f64 (/.f64 -3 (.f64 t z)) (/.f64 -9/2 (.f64 (.f64 t z) (.f64 t z)))) (/.f64 9 (.f64 (pow.f64 t 3) (pow.f64 z 3)))))
(+.f64 (log.f64 (.f64 t 1/3)) (+.f64 (-.f64 (/.f64 -3 (.f64 t z)) (log.f64 (/.f64 -1 z))) (-.f64 (/.f64 -9/2 (.f64 (.f64 t z) (*.f64 t z))) (/.f64 (/.f64 9 (pow.f64 z 3)) (pow.f64 t 3)))))
(.f64 -1/3 (.f64 t z))
(.f64 t (.f64 z -1/3))
(.f64 z (.f64 t -1/3))
(.f64 -1/3 (.f64 t z))
(.f64 t (.f64 z -1/3))
(.f64 z (.f64 t -1/3))
(.f64 -1/3 (.f64 t z))
(.f64 t (.f64 z -1/3))
(.f64 z (.f64 t -1/3))
(.f64 -1/3 (.f64 t z))
(.f64 t (.f64 z -1/3))
(.f64 z (.f64 t -1/3))
(.f64 -1/3 (.f64 t z))
(.f64 t (.f64 z -1/3))
(.f64 z (.f64 t -1/3))
(.f64 -1/3 (.f64 t z))
(.f64 t (.f64 z -1/3))
(.f64 z (.f64 t -1/3))
(.f64 -1/3 (.f64 t z))
(.f64 t (.f64 z -1/3))
(.f64 z (.f64 t -1/3))
(.f64 -1/3 (.f64 t z))
(.f64 t (.f64 z -1/3))
(.f64 z (.f64 t -1/3))
(.f64 -1/3 (.f64 t z))
(.f64 t (.f64 z -1/3))
(.f64 z (.f64 t -1/3))
(.f64 -1/3 (.f64 t z))
(.f64 t (.f64 z -1/3))
(.f64 z (.f64 t -1/3))
(.f64 -1/3 (.f64 t z))
(.f64 t (.f64 z -1/3))
(.f64 z (.f64 t -1/3))
(.f64 -1/3 (.f64 t z))
(.f64 t (.f64 z -1/3))
(.f64 z (.f64 t -1/3))
(.f64 -1/3 (.f64 t z))
(.f64 t (.f64 z -1/3))
(.f64 z (.f64 t -1/3))
(.f64 -1/3 (.f64 t z))
(.f64 t (.f64 z -1/3))
(.f64 z (.f64 t -1/3))
(.f64 -1/3 (.f64 t z))
(.f64 t (.f64 z -1/3))
(.f64 z (.f64 t -1/3))
(.f64 -1/3 (.f64 t z))
(.f64 t (.f64 z -1/3))
(.f64 z (.f64 t -1/3))
(.f64 -1/3 (.f64 t z))
(.f64 t (.f64 z -1/3))
(.f64 z (.f64 t -1/3))
(.f64 -1/3 (.f64 t z))
(.f64 t (.f64 z -1/3))
(.f64 z (.f64 t -1/3))
(.f64 -1/3 (.f64 t z))
(.f64 t (.f64 z -1/3))
(.f64 z (.f64 t -1/3))
(.f64 -1/3 (.f64 t z))
(.f64 t (.f64 z -1/3))
(.f64 z (.f64 t -1/3))
(.f64 -1/3 (.f64 t z))
(.f64 t (.f64 z -1/3))
(.f64 z (.f64 t -1/3))
(.f64 -1/3 (.f64 t z))
(.f64 t (.f64 z -1/3))
(.f64 z (.f64 t -1/3))
(.f64 -1/3 (.f64 t z))
(.f64 t (.f64 z -1/3))
(.f64 z (.f64 t -1/3))
(.f64 -1/3 (.f64 t z))
(.f64 t (.f64 z -1/3))
(.f64 z (.f64 t -1/3))

eval288.0ms (0.8%)

Compiler: Compiled 13795 to 8835 computations (36% saved)

prune326.0ms (0.9%)

Pruning

119 alts after pruning (114 fresh and 5 done)

	Pruned	Kept	Total
New	570	57	627
Fresh	41	57	98
Picked	0	1	1
Done	2	4	6
Total	613	119	732

Error

15.9b

Counts

732 → 119

Alt Table

Click to see full alt table

Status	Error	Program
	33.0b	(-.f64 (exp.f64 (.f64 (log.f64 (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 x 1/6)))) 3)) (/.f64 a (.f64 b 3)))
	19.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (+.f64 1 (cos.f64 y)) 1)) (/.f64 a (*.f64 b 3)))
	25.5b	(fma.f64 (sqrt.f64 x) (.f64 2 (sqrt.f64 (pow.f64 (-.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))) 2))) (/.f64 (.f64 a -1/3) b))
	36.8b	(-.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (.f64 2 (-.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))))))) 3)) (/.f64 a (.f64 b 3)))
	24.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (expm1.f64 (.f64 (.f64 t z) (+.f64 (.f64 -1/18 (.f64 t z)) -1/3)))) 2))) (/.f64 a (*.f64 b 3)))
	35.5b	(.f64 a (.f64 (/.f64 1 b) -1/3))
	37.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (exp.f64 (log.f64 (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
	48.7b	(pow.f64 (pow.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 3) 1/3)
	37.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 (pow.f64 (.f64 1/3 t) 1/6) (.f64 (pow.f64 (.f64 1/3 t) 1/6) (pow.f64 (cbrt.f64 (.f64 1/3 t)) 2)))))) (/.f64 a (*.f64 b 3)))
	23.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 a b) 1/3))
	22.7b	(-.f64 (.f64 (.f64 (cbrt.f64 (.f64 x (.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2) 4))) (cbrt.f64 (cbrt.f64 (.f64 x (.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2) 4))))) (cbrt.f64 (cbrt.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 (sqrt.f64 x) 2))))) (/.f64 a (.f64 b 3)))
	27.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (.f64 (.f64 -1/3 z) t)) 2))) (/.f64 a (*.f64 b 3)))
	28.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 1/3 t))) 3))) (/.f64 a (*.f64 b 3)))
	24.9b	(.f64 1/3 (.f64 3 (+.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))))
	37.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (pow.f64 (pow.f64 (.f64 1/3 t) 1/6) 2) 3)))) (/.f64 a (*.f64 b 3)))
	40.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (pow.f64 (pow.f64 (.f64 z (.f64 1/3 t)) 3) 1/3))) (/.f64 a (*.f64 b 3)))
	46.4b	(.f64 1/3 (.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 6)))
	32.9b	(-.f64 (exp.f64 (log.f64 (.f64 (cos.f64 y) (sqrt.f64 (.f64 x 4))))) (/.f64 a (*.f64 b 3)))
	28.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (expm1.f64 (log1p.f64 (cos.f64 (.f64 z (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
	28.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 1/3 t))) 3) 3)))) (/.f64 a (*.f64 b 3)))
	20.2b	(pow.f64 (cbrt.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))) 3)
	47.6b	(-.f64 (.f64 (sqrt.f64 x) (.f64 z (.f64 (.f64 z (cos.f64 y)) (.f64 t (.f64 t -1/9))))) (/.f64 a (*.f64 b 3)))
	34.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (sqrt.f64 (cos.f64 (.f64 t (.f64 1/3 z)))) 2)) (/.f64 a (*.f64 b 3)))
	28.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 (.f64 z (.f64 1/3 t))) 3))) (/.f64 a (*.f64 b 3)))
	28.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z)))) (/.f64 a (*.f64 b 3)))
	34.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (expm1.f64 (.f64 z (.f64 t -1/3)))) 2))) (/.f64 a (*.f64 b 3)))
	34.8b	(pow.f64 (sqrt.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))) 2)
	27.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 (pow.f64 (cbrt.f64 t) 2) (.f64 (cbrt.f64 t) 1/3))))) (/.f64 a (.f64 b 3)))
	28.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (.f64 z (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
	46.4b	(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
	46.1b	(expm1.f64 (log1p.f64 (*.f64 (/.f64 -1/3 b) a)))
	34.7b	(-.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (.f64 t (.f64 z -1/3))))))) 3)) (/.f64 a (.f64 b 3)))
✓	35.5b	(*.f64 a (/.f64 -1/3 b))
	37.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (pow.f64 (.f64 1/3 t) 1/3) 3)))) (/.f64 a (*.f64 b 3)))
	28.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 t (.f64 1/3 z)))) 3)) (/.f64 a (*.f64 b 3)))
	26.2b	(-.f64 (expm1.f64 (log1p.f64 (.f64 (cos.f64 y) (sqrt.f64 (.f64 x 4))))) (/.f64 a (*.f64 b 3)))
	35.4b	(/.f64 a (*.f64 b -3))
	62.0b	(log.f64 (exp.f64 (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 a (/.f64 1/3 b)))))
	36.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (cbrt.f64 (pow.f64 (.f64 1/3 t) 3))))) (/.f64 a (*.f64 b 3)))
	24.8b	(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
	28.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 z (.f64 -1/3 t)))) 3) 2))) (/.f64 a (*.f64 b 3)))
	22.2b	(-.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)))
	28.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 t z)) 2) (.f64 (cbrt.f64 (.f64 t z)) -1/3))) 2))) (/.f64 a (*.f64 b 3)))
	48.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (expm1.f64 (-.f64 (log.f64 (.f64 t 1/3)) (log.f64 (/.f64 -1 z))))) 2))) (/.f64 a (.f64 b 3)))
	38.9b	(-.f64 (+.f64 1 (*.f64 (/.f64 -1/3 b) a)) 1)
	28.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (.f64 1/3 t)))) 3)))) (/.f64 a (*.f64 b 3)))
	41.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (log.f64 (pow.f64 (exp.f64 1/3) t))))) (/.f64 a (.f64 b 3)))
	19.9b	(.f64 1/3 (-.f64 (.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 6)) (/.f64 a b)))
	51.8b	(*.f64 a (exp.f64 (log.f64 (/.f64 -1/3 b))))
	27.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (-.f64 (+.f64 1 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2)) 1))) (/.f64 a (*.f64 b 3)))
	37.9b	(-.f64 (exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 (sqrt.f64 x) 2)) 1/3)) 3)) (/.f64 a (*.f64 b 3)))
	28.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 (pow.f64 (cbrt.f64 (.f64 1/3 t)) 2) (cbrt.f64 (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
	22.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 (pow.f64 (cos.f64 y) 6)))) (/.f64 a (*.f64 b 3)))
	28.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 -1/3 t))) 3)) 2))) (/.f64 a (*.f64 b 3)))
✓	35.7b	(*.f64 -1/3 (/.f64 a b))
	32.9b	(-.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))))) 3)) (/.f64 a (.f64 b 3)))
	26.0b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 y) (sqrt.f64 (.f64 x 4))) 3)) (/.f64 a (*.f64 b 3)))
	32.3b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 (sin.f64 y) (.f64 t z)) 2/3) (.f64 (cos.f64 y) (+.f64 (.f64 -1/9 (.f64 (.f64 t z) (.f64 t z))) 2)))) (/.f64 a (.f64 b 3)))
	27.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (.f64 -1/3 (.f64 t z)))))))) (/.f64 a (*.f64 b 3)))
	35.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 y))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 y))) (sin.f64 1)))) (/.f64 a (*.f64 b 3)))
	28.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 1/3 t)) 2) 1/3) (cbrt.f64 (cbrt.f64 (.f64 1/3 t)))) 3)))) (/.f64 a (*.f64 b 3)))
	35.5b	(/.f64 1 (/.f64 b (*.f64 -1/3 a)))
	22.8b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))) 3) (/.f64 a (.f64 b 3)))
	42.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (pow.f64 (pow.f64 (.f64 z (.f64 -1/3 t)) 3) 1/3)) 2))) (/.f64 a (*.f64 b 3)))
	26.5b	(-.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)))
	22.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (/.f64 (/.f64 3 z) t) -1)))) (/.f64 a (*.f64 b 3)))
	35.5b	(/.f64 -1/3 (/.f64 b a))
	40.1b	(-.f64 (pow.f64 (pow.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))) 3) 1/3) (/.f64 a (.f64 b 3)))
	34.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (fma.f64 y (.f64 -3/2 y) 1))) (/.f64 a (.f64 b 3)))
	22.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) 3) (pow.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) 3)) (fma.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (-.f64 (.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))) (.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))))))) (/.f64 a (*.f64 b 3)))
	48.7b	(.f64 1/3 (pow.f64 (pow.f64 (.f64 3 (fma.f64 a (/.f64 -1/3 b) (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)))) 3) 1/3))
	22.6b	(-.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x 4))) (/.f64 a (*.f64 b 3)))
	35.8b	(pow.f64 (cbrt.f64 (*.f64 (/.f64 -1/3 b) a)) 3)
	44.7b	(*.f64 a (-.f64 (+.f64 1 (/.f64 -1/3 b)) 1))
	19.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 y)))) (/.f64 a (*.f64 b 3)))
	35.5b	(/.f64 (*.f64 -1/3 a) b)
	28.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (.f64 (cbrt.f64 t) (cbrt.f64 1/3)) 3)))) (/.f64 a (*.f64 b 3)))
	19.8b	(fma.f64 (cbrt.f64 (.f64 x 4)) (.f64 (cbrt.f64 (.f64 2 (sqrt.f64 x))) (cos.f64 y)) (.f64 a (neg.f64 (/.f64 1/3 b))))
	39.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (sqrt.f64 (pow.f64 (/.f64 (/.f64 a 3) b) 2)))
	22.4b	(-.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)))
	55.8b	(*.f64 a (sqrt.f64 (pow.f64 (/.f64 -1/3 b) 2)))
	37.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (exp.f64 (log.f64 (cbrt.f64 (.f64 1/3 t)))) 3)))) (/.f64 a (*.f64 b 3)))
	28.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 1/3 t))) 2) (cbrt.f64 (cbrt.f64 (.f64 1/3 t)))) 3)))) (/.f64 a (*.f64 b 3)))
	48.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (expm1.f64 (+.f64 (log.f64 (.f64 -1/3 z)) (.f64 -1 (log.f64 (/.f64 1 t)))))) 2))) (/.f64 a (*.f64 b 3)))
	35.5b	(.f64 a (pow.f64 (.f64 b -3) -1))
	28.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (+.f64 1 (cos.f64 (.f64 t (.f64 1/3 z)))) 1)) (/.f64 a (*.f64 b 3)))
	35.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (expm1.f64 (log1p.f64 (.f64 z (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
✓	28.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (cbrt.f64 (.f64 1/3 t)) 3)))) (/.f64 a (*.f64 b 3)))
	22.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))))) (/.f64 a (*.f64 b 3)))
	19.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 y)) 3)) (/.f64 a (*.f64 b 3)))
	37.0b	(.f64 1/3 (exp.f64 (log.f64 (.f64 3 (fma.f64 a (/.f64 -1/3 b) (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)))))))
	22.6b	(-.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) 2) (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2))) (cbrt.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))) (/.f64 a (.f64 b 3)))
	28.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (.f64 z 1/3)))) (/.f64 a (*.f64 b 3)))
	39.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (pow.f64 (.f64 1/3 t) 3) 1/3)))) (/.f64 a (*.f64 b 3)))
✓	33.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (expm1.f64 (log1p.f64 (.f64 -1/3 (.f64 t z))))) 2))) (/.f64 a (*.f64 b 3)))
	36.1b	(pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 3)
	37.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 (pow.f64 (pow.f64 (.f64 1/3 t) 1/6) 3) (pow.f64 (pow.f64 (.f64 1/3 t) 1/6) 3))))) (/.f64 a (*.f64 b 3)))
	30.5b	(-.f64 (expm1.f64 (log1p.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))))) (/.f64 a (.f64 b 3)))
	60.8b	(.f64 1/3 (+.f64 (log.f64 (pow.f64 (exp.f64 (fma.f64 a (/.f64 -1/3 b) (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)))) 2)) (fma.f64 a (/.f64 -1/3 b) (.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)))))
	25.0b	(-.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 y) (sqrt.f64 (.f64 x 4)))) 1) (/.f64 a (*.f64 b 3)))
	22.0b	(-.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)))
	38.9b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 y -2) (sin.f64 (.f64 t (.f64 z -1/3)))) (.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (-.f64 2 (.f64 y y))))) (/.f64 a (.f64 b 3)))
	37.5b	(.f64 1/3 (-.f64 (.f64 (sqrt.f64 x) (+.f64 6 (.f64 y (.f64 y -3)))) (/.f64 a b)))
	28.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (+.f64 (.f64 (cos.f64 (+.f64 (.f64 z (.f64 -1/3 t)) 1)) (cos.f64 1)) (.f64 (sin.f64 (+.f64 (.f64 z (.f64 -1/3 t)) 1)) (sin.f64 1))) 2))) (/.f64 a (*.f64 b 3)))
	35.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (cbrt.f64 (pow.f64 (.f64 -1/3 (.f64 t z)) 3))) 2))) (/.f64 a (*.f64 b 3)))
	35.9b	(*.f64 a (pow.f64 (cbrt.f64 (/.f64 -1/3 b)) 3))
	19.8b	(.f64 3 (.f64 1/3 (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 -1/3 b)))))
✓	28.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 1/3 t)))) (/.f64 a (*.f64 b 3)))
	28.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 (pow.f64 (cbrt.f64 1/3) 3) t)))) (/.f64 a (*.f64 b 3)))
	28.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (expm1.f64 (cos.f64 (.f64 t (.f64 1/3 z)))))) (/.f64 a (*.f64 b 3)))
	39.9b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 2 (.f64 (.f64 t z) (+.f64 (.f64 2/3 y) (.f64 t (.f64 z -1/9)))))) (/.f64 a (*.f64 b 3)))
	37.4b	(-.f64 (.f64 2 (.f64 (cos.f64 (fma.f64 -1/3 (.f64 t z) y)) (neg.f64 (sqrt.f64 x)))) (/.f64 a (.f64 b 3)))
	28.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (-.f64 (+.f64 1 (.f64 1/3 t)) 1)))) (/.f64 a (*.f64 b 3)))
	28.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 1/3 t))) 2) 3) (cbrt.f64 (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
	28.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 1/3 t)) 3)) 3)))) (/.f64 a (*.f64 b 3)))
	22.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 z 3) t)))) (/.f64 a (.f64 b 3)))
	31.8b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 y -2) (sin.f64 (.f64 t (.f64 z -1/3)))) (.f64 2 (cos.f64 (.f64 t (.f64 z -1/3)))))) (/.f64 a (*.f64 b 3)))
	24.8b	(*.f64 1/3 (fma.f64 (sqrt.f64 x) 6 (/.f64 (neg.f64 a) b)))
	26.9b	(-.f64 (exp.f64 (.f64 (log.f64 (sqrt.f64 (cbrt.f64 (.f64 x (.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2) 4))))) 3)) (/.f64 a (*.f64 b 3)))

Compiler

Compiled 3148 to 2499 computations (20.6% saved)

regimes7.1s (20.4%)

Counts

223 → 3

Calls

Call 1

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

Outputs

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

Calls

21 calls:

757.0ms	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))
603.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
474.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
405.0ms	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))
396.0ms	(*.f64 z t)

Results

Error	Segments	Branch
19.6b	1	`x`
19.6b	1	`y`
19.6b	1	`z`
19.6b	1	`t`
19.6b	1	`a`
19.6b	1	`b`
18.4b	2	`(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))`
18.4b	2	`(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))`
18.4b	2	`(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))`
19.6b	1	`(*.f64 2 (sqrt.f64 x))`
19.6b	1	`(sqrt.f64 x)`
18.2b	2	`(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))`
18.2b	2	`(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))`
18.4b	3	`(-.f64 y (/.f64 (*.f64 z t) 3))`
18.4b	3	`(-.f64 y (/.f64 (*.f64 z t) 3))`
18.0b	3	`(/.f64 (*.f64 z t) 3)`
18.0b	3	`(/.f64 (*.f64 z t) 3)`
18.0b	3	`(*.f64 z t)`
18.0b	3	`(*.f64 z t)`
19.6b	1	`(/.f64 a (*.f64 b 3))`
19.6b	1	`(*.f64 b 3)`

Compiler

Compiled 4887 to 3243 computations (33.6% saved)

bsearch5.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.5233305250461248e+98	1.654578811746206e+100
0.0ms	-7.454128089524899e+66	-3.1387691661397026e+36

Compiler

Compiled 34 to 27 computations (20.6% saved)

regimes5.8s (16.6%)

Counts

217 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

21 calls:

534.0ms	(*.f64 z t)
507.0ms	(/.f64 (*.f64 z t) 3)
358.0ms	(/.f64 (*.f64 z t) 3)
340.0ms	(-.f64 y (/.f64 (*.f64 z t) 3))
320.0ms	(-.f64 y (/.f64 (*.f64 z t) 3))

Results

Error	Segments	Branch
19.6b	1	`x`
19.6b	1	`y`
19.6b	1	`z`
19.6b	1	`t`
19.6b	1	`a`
19.6b	1	`b`
18.4b	2	`(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))`
18.4b	2	`(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))`
18.4b	2	`(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))`
19.6b	1	`(*.f64 2 (sqrt.f64 x))`
19.6b	1	`(sqrt.f64 x)`
18.2b	2	`(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))`
18.2b	2	`(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))`
18.4b	3	`(-.f64 y (/.f64 (*.f64 z t) 3))`
18.4b	3	`(-.f64 y (/.f64 (*.f64 z t) 3))`
18.0b	3	`(/.f64 (*.f64 z t) 3)`
18.0b	3	`(/.f64 (*.f64 z t) 3)`
18.0b	3	`(*.f64 z t)`
18.0b	3	`(*.f64 z t)`
19.6b	1	`(/.f64 a (*.f64 b 3))`
19.6b	1	`(*.f64 b 3)`

Compiler

Compiled 4556 to 3020 computations (33.7% saved)

bsearch3.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.5233305250461248e+98	1.654578811746206e+100
0.0ms	-7.454128089524899e+66	-3.1387691661397026e+36

Compiler

Compiled 34 to 27 computations (20.6% saved)

regimes4.1s (11.8%)

Counts

159 → 3

Calls

Call 1

Inputs
(/.f64 a (*.f64 b -3))
(/.f64 (*.f64 -1/3 a) b)
(*.f64 a (/.f64 -1/3 b))
(/.f64 -1/3 (/.f64 b a))
(/.f64 (*.f64 -1/3 a) b)
(*.f64 -1/3 (/.f64 a b))
(.f64 a (.f64 (/.f64 1 b) -1/3))
(/.f64 1 (/.f64 b (*.f64 -1/3 a)))
(-.f64 (+.f64 1 (*.f64 (/.f64 -1/3 b) a)) 1)
(*.f64 a (-.f64 (+.f64 1 (/.f64 -1/3 b)) 1))
(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 a b))) 1)
(.f64 a (pow.f64 (.f64 b -3) -1))
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
(.f64 1/3 (.f64 3 (+.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))))
(.f64 1/3 (-.f64 (.f64 (sqrt.f64 x) (+.f64 6 (.f64 y (.f64 y -3)))) (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) (+.f64 2 (.f64 (.f64 t z) (+.f64 (.f64 2/3 y) (.f64 t (.f64 z -1/9)))))) (/.f64 a (*.f64 b 3)))
(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 -1/3 b) a)))
(*.f64 a (exp.f64 (log.f64 (/.f64 -1/3 b))))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))
(expm1.f64 (log1p.f64 (*.f64 -1/3 (/.f64 a b))))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 -1/3 b) a)) 3)
(*.f64 a (sqrt.f64 (pow.f64 (/.f64 -1/3 b) 2)))
(*.f64 a (pow.f64 (cbrt.f64 (/.f64 -1/3 b)) 3))
(pow.f64 (sqrt.f64 (*.f64 -1/3 (/.f64 a b))) 2)
(pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 3)
(.f64 1/3 (.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 6)))
(pow.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3) 1/3)
(*.f64 1/3 (fma.f64 (sqrt.f64 x) 6 (/.f64 (neg.f64 a) b)))
(.f64 1/3 (-.f64 (.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 6)) (/.f64 a b)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
(fma.f64 -1/3 (/.f64 a b) (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1/3 b) a))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (fma.f64 (neg.f64 y) y 2)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1 b) (/.f64 a 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (.f64 z 1/3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (+.f64 1 (cos.f64 y)) 1)) (/.f64 a (*.f64 b 3)))
(-.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 y) (sqrt.f64 (.f64 x 4)))) 1) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (.f64 z 1/3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 1/3 t)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 a b) 1/3))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 1/3 b) a))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 z 3) t)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (+.f64 1 (cos.f64 (.f64 t (.f64 1/3 z)))) 1)) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (.f64 z (.f64 (.f64 z (cos.f64 y)) (.f64 t (.f64 t -1/9))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (-.f64 (+.f64 1 (.f64 1/3 t)) 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)))
(log.f64 (exp.f64 (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 a (/.f64 1/3 b)))))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)) (/.f64 (.f64 a -1/3) b))
(-.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x 4))) (/.f64 a (*.f64 b 3)))
(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2))) (/.f64 a (*.f64 b 3)))
(.f64 1/3 (.f64 3 (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 -1/3 b)))))
(.f64 3 (.f64 1/3 (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 -1/3 b)))))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (.f64 t (.f64 z -1/3)))) (/.f64 (.f64 a -1/3) b))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (fma.f64 y (.f64 -3/2 y) 1))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 2 (.f64 (cos.f64 (fma.f64 -1/3 (.f64 t z) y)) (neg.f64 (sqrt.f64 x)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (/.f64 (/.f64 3 z) t) -1)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (.f64 -1/3 (.f64 t z)))))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 y -2) (sin.f64 (.f64 t (.f64 z -1/3)))) (.f64 2 (cos.f64 (.f64 t (.f64 z -1/3)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.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 a (*.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 (sin.f64 y) (.f64 t z)) 2/3) (.f64 (cos.f64 y) (+.f64 (.f64 -1/9 (.f64 (.f64 t z) (.f64 t z))) 2)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 y -2) (sin.f64 (.f64 t (.f64 z -1/3)))) (.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (-.f64 2 (.f64 y y))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (cos.f64 y) (+.f64 2 (.f64 -1/9 (.f64 t (.f64 t (.f64 z z)))))) (.f64 (.f64 z (sin.f64 y)) (.f64 t 2/3)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 y (.f64 2 (sin.f64 (.f64 z (.f64 1/3 t))))) (.f64 (cos.f64 (.f64 z (.f64 1/3 t))) (-.f64 2 (.f64 y y))))) (/.f64 a (.f64 b 3)))
(-.f64 (exp.f64 (log.f64 (.f64 (cos.f64 y) (sqrt.f64 (.f64 x 4))))) (/.f64 a (*.f64 b 3)))
(-.f64 (expm1.f64 (log1p.f64 (.f64 (cos.f64 y) (sqrt.f64 (.f64 x 4))))) (/.f64 a (*.f64 b 3)))
(log.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 y)))) (/.f64 a (*.f64 b 3)))
(-.f64 (exp.f64 (log.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) (/.f64 a (*.f64 b 3)))
(-.f64 (expm1.f64 (log1p.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) (/.f64 a (*.f64 b 3)))
(pow.f64 (cbrt.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))) 3)
(pow.f64 (sqrt.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))) 2)
(-.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 y) (sqrt.f64 (.f64 x 4))) 3)) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 y) 3))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (sqrt.f64 (pow.f64 (/.f64 (/.f64 a 3) b) 2)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 y)) 3)) (/.f64 a (*.f64 b 3)))
(pow.f64 (sqrt.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))) 2)
(pow.f64 (cbrt.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))) 3)
(-.f64 (cbrt.f64 (.f64 8 (pow.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) 3))) (/.f64 a (*.f64 b 3)))
(pow.f64 (pow.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 3) 1/3)
(pow.f64 (pow.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 3) 1/3)
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (/.f64 (*.f64 a -1/3) b))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (exp.f64 (log.f64 (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (expm1.f64 (cos.f64 (.f64 t (.f64 1/3 z)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (expm1.f64 (log1p.f64 (cos.f64 (.f64 z (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (.f64 z (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (exp.f64 (log.f64 (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (expm1.f64 (log1p.f64 (.f64 z (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (.f64 (.f64 -1/3 z) t)) 2))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (sqrt.f64 (cos.f64 (.f64 t (.f64 1/3 z)))) 2)) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 t (.f64 1/3 z)))) 3)) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (cbrt.f64 (pow.f64 (.f64 1/3 t) 3))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 (pow.f64 (cbrt.f64 1/3) 3) t)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 1/3 t))) 3))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (.f64 z (.f64 t -1/3))) 2))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 (.f64 z (.f64 1/3 t))) 3))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 z (.f64 1/3 t)))) 3)) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (cbrt.f64 (pow.f64 (.f64 1/3 t) 3))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (sqrt.f64 (.f64 1/3 t)) 2)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (cbrt.f64 (.f64 1/3 t)) 3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (pow.f64 (sqrt.f64 (.f64 z (.f64 1/3 t))) 2))) (/.f64 a (*.f64 b 3)))
(-.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) 2) (.f64 x 4))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (pow.f64 (.f64 1/3 t) 1/3) 3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (pow.f64 (pow.f64 (.f64 z (.f64 1/3 t)) 3) 1/3))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (pow.f64 (.f64 1/3 t) 3) 1/3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (expm1.f64 (log1p.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (sqrt.f64 (pow.f64 (.f64 z (.f64 t 1/3)) 2))))) (/.f64 a (*.f64 b 3)))
(-.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)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (.f64 (pow.f64 (.f64 z t) 3) 1/27) 1/3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (-.f64 (+.f64 1 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2)) 1))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (fma.f64 z (.f64 t -1/3) y))))))) (/.f64 a (.f64 b 3)))
(-.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)))
(fma.f64 (sqrt.f64 x) (.f64 2 (sqrt.f64 (pow.f64 (cos.f64 y) 2))) (/.f64 (.f64 a -1/3) b))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 (pow.f64 (cos.f64 y) 6)))) (/.f64 a (*.f64 b 3)))
(.f64 1/3 (exp.f64 (log.f64 (.f64 3 (fma.f64 a (/.f64 -1/3 b) (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)))))))
(-.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))))) 3)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (log.f64 (pow.f64 (exp.f64 1/3) t))))) (/.f64 a (.f64 b 3)))
(fma.f64 (cbrt.f64 (.f64 x 4)) (.f64 (cbrt.f64 (.f64 2 (sqrt.f64 x))) (cos.f64 y)) (.f64 a (neg.f64 (/.f64 1/3 b))))
(fma.f64 (sqrt.f64 x) (.f64 2 (sqrt.f64 (pow.f64 (cos.f64 (.f64 t (.f64 z -1/3))) 2))) (/.f64 (.f64 a -1/3) b))
(fma.f64 (cbrt.f64 (.f64 x 4)) (.f64 (cbrt.f64 (.f64 2 (sqrt.f64 x))) (cos.f64 y)) (.f64 a (neg.f64 (/.f64 1/3 b))))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (log.f64 (pow.f64 (exp.f64 1/3) t))))) (/.f64 a (.f64 b 3)))
(fma.f64 (.f64 (cos.f64 y) (cbrt.f64 (.f64 x 4))) (cbrt.f64 (.f64 2 (sqrt.f64 x))) (.f64 a (neg.f64 (/.f64 1/3 b))))
(.f64 1/3 (pow.f64 (pow.f64 (.f64 3 (fma.f64 a (/.f64 -1/3 b) (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)))) 3) 1/3))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (expm1.f64 (log1p.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))))) (/.f64 a (.f64 b 3)))
(-.f64 (exp.f64 (log.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))))) (/.f64 a (.f64 b 3)))
(-.f64 (expm1.f64 (log1p.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (expm1.f64 (.f64 z (.f64 t -1/3)))) 2))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (.f64 (cbrt.f64 t) (cbrt.f64 1/3)) 3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))) 3) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (sqrt.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))) 2)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))) 3)) (/.f64 a (.f64 b 3)))
(-.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))) 3)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) 3))) (/.f64 a (.f64 b 3)))
(-.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x)))) 3) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) 2))) (/.f64 a (.f64 b 3)))
(-.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (.f64 t (.f64 z -1/3))))))) 3)) (/.f64 a (.f64 b 3)))
(-.f64 (pow.f64 (pow.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))) 3) 1/3) (/.f64 a (.f64 b 3)))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))))) 1) (/.f64 a (.f64 b 3)))
(-.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)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)))))) (/.f64 a (.f64 b 3)))
(-.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))) 3) 1/3) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (pow.f64 (pow.f64 (.f64 1/3 t) 1/6) 2) 3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 (pow.f64 (cbrt.f64 t) 2) (.f64 (cbrt.f64 t) 1/3))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 (pow.f64 (cbrt.f64 (.f64 1/3 t)) 2) (cbrt.f64 (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (expm1.f64 (.f64 (.f64 t z) (+.f64 (.f64 -1/18 (.f64 t z)) -1/3)))) 2))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (cbrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.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)))

Outputs

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

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

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

Calls

20 calls:

584.0ms	(*.f64 z t)
473.0ms	(/.f64 (*.f64 z t) 3)
364.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
304.0ms	(/.f64 (*.f64 z t) 3)
216.0ms	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))

Results

Error	Segments	Branch
19.6b	1	`x`
19.6b	1	`y`
19.6b	1	`z`
19.6b	1	`t`
19.6b	1	`a`
19.6b	1	`b`
19.6b	1	`(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))`
19.6b	1	`(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))`
19.6b	1	`(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))`
19.6b	1	`(*.f64 2 (sqrt.f64 x))`
19.6b	1	`(sqrt.f64 x)`
18.5b	2	`(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))`
18.5b	2	`(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))`
19.6b	1	`(-.f64 y (/.f64 (*.f64 z t) 3))`
19.6b	1	`(-.f64 y (/.f64 (*.f64 z t) 3))`
18.1b	3	`(/.f64 (*.f64 z t) 3)`
18.1b	3	`(/.f64 (*.f64 z t) 3)`
18.1b	3	`(*.f64 z t)`
19.6b	1	`(/.f64 a (*.f64 b 3))`
19.6b	1	`(*.f64 b 3)`

Compiler

Compiled 3009 to 1961 computations (34.8% saved)

bsearch2.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	43296090.045090035	1.7553228371634158e+25
0.0ms	-1.2243623340286822e+78	-2.843222504723091e+74

Compiler

Compiled 34 to 27 computations (20.6% saved)

regimes2.6s (7.5%)

Counts

158 → 1

Calls

Call 1

Inputs
(/.f64 a (*.f64 b -3))
(/.f64 (*.f64 -1/3 a) b)
(*.f64 a (/.f64 -1/3 b))
(/.f64 -1/3 (/.f64 b a))
(/.f64 (*.f64 -1/3 a) b)
(*.f64 -1/3 (/.f64 a b))
(.f64 a (.f64 (/.f64 1 b) -1/3))
(/.f64 1 (/.f64 b (*.f64 -1/3 a)))
(-.f64 (+.f64 1 (*.f64 (/.f64 -1/3 b) a)) 1)
(*.f64 a (-.f64 (+.f64 1 (/.f64 -1/3 b)) 1))
(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 a b))) 1)
(.f64 a (pow.f64 (.f64 b -3) -1))
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
(.f64 1/3 (.f64 3 (+.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))))
(.f64 1/3 (-.f64 (.f64 (sqrt.f64 x) (+.f64 6 (.f64 y (.f64 y -3)))) (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) (+.f64 2 (.f64 (.f64 t z) (+.f64 (.f64 2/3 y) (.f64 t (.f64 z -1/9)))))) (/.f64 a (*.f64 b 3)))
(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 -1/3 b) a)))
(*.f64 a (exp.f64 (log.f64 (/.f64 -1/3 b))))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))
(expm1.f64 (log1p.f64 (*.f64 -1/3 (/.f64 a b))))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 -1/3 b) a)) 3)
(*.f64 a (sqrt.f64 (pow.f64 (/.f64 -1/3 b) 2)))
(*.f64 a (pow.f64 (cbrt.f64 (/.f64 -1/3 b)) 3))
(pow.f64 (sqrt.f64 (*.f64 -1/3 (/.f64 a b))) 2)
(pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 3)
(.f64 1/3 (.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 6)))
(pow.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3) 1/3)
(*.f64 1/3 (fma.f64 (sqrt.f64 x) 6 (/.f64 (neg.f64 a) b)))
(.f64 1/3 (-.f64 (.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 6)) (/.f64 a b)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
(fma.f64 -1/3 (/.f64 a b) (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1/3 b) a))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (fma.f64 (neg.f64 y) y 2)) (/.f64 a (.f64 b 3)))
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(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (+.f64 1 (cos.f64 y)) 1)) (/.f64 a (*.f64 b 3)))
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(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 a b) 1/3))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 1/3 b) a))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 z 3) t)))) (/.f64 a (.f64 b 3)))
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(-.f64 (.f64 (sqrt.f64 x) (.f64 z (.f64 (.f64 z (cos.f64 y)) (.f64 t (.f64 t -1/9))))) (/.f64 a (*.f64 b 3)))
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(-.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)))
(log.f64 (exp.f64 (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 a (/.f64 1/3 b)))))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)) (/.f64 (.f64 a -1/3) b))
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(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 y (.f64 2 (sin.f64 (.f64 z (.f64 1/3 t))))) (.f64 (cos.f64 (.f64 z (.f64 1/3 t))) (-.f64 2 (.f64 y y))))) (/.f64 a (.f64 b 3)))
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(-.f64 (expm1.f64 (log1p.f64 (.f64 (cos.f64 y) (sqrt.f64 (.f64 x 4))))) (/.f64 a (*.f64 b 3)))
(log.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 y)))) (/.f64 a (*.f64 b 3)))
(-.f64 (exp.f64 (log.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) (/.f64 a (*.f64 b 3)))
(-.f64 (expm1.f64 (log1p.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) (/.f64 a (*.f64 b 3)))
(pow.f64 (cbrt.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))) 3)
(pow.f64 (sqrt.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))) 2)
(-.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 y) (sqrt.f64 (.f64 x 4))) 3)) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 y) 3))) (/.f64 a (*.f64 b 3)))
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(pow.f64 (sqrt.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))) 2)
(pow.f64 (cbrt.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))) 3)
(-.f64 (cbrt.f64 (.f64 8 (pow.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) 3))) (/.f64 a (*.f64 b 3)))
(pow.f64 (pow.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 3) 1/3)
(pow.f64 (pow.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 3) 1/3)
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (/.f64 (*.f64 a -1/3) b))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (exp.f64 (log.f64 (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (expm1.f64 (cos.f64 (.f64 t (.f64 1/3 z)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (expm1.f64 (log1p.f64 (cos.f64 (.f64 z (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (.f64 z (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (exp.f64 (log.f64 (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (expm1.f64 (log1p.f64 (.f64 z (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (.f64 (.f64 -1/3 z) t)) 2))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (sqrt.f64 (cos.f64 (.f64 t (.f64 1/3 z)))) 2)) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 t (.f64 1/3 z)))) 3)) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (cbrt.f64 (pow.f64 (.f64 1/3 t) 3))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 (pow.f64 (cbrt.f64 1/3) 3) t)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 1/3 t))) 3))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (.f64 z (.f64 t -1/3))) 2))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 (.f64 z (.f64 1/3 t))) 3))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 z (.f64 1/3 t)))) 3)) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (cbrt.f64 (pow.f64 (.f64 1/3 t) 3))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (sqrt.f64 (.f64 1/3 t)) 2)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (cbrt.f64 (.f64 1/3 t)) 3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (pow.f64 (sqrt.f64 (.f64 z (.f64 1/3 t))) 2))) (/.f64 a (*.f64 b 3)))
(-.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) 2) (.f64 x 4))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (pow.f64 (.f64 1/3 t) 1/3) 3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (pow.f64 (pow.f64 (.f64 z (.f64 1/3 t)) 3) 1/3))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (pow.f64 (.f64 1/3 t) 3) 1/3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (expm1.f64 (log1p.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (sqrt.f64 (pow.f64 (.f64 z (.f64 t 1/3)) 2))))) (/.f64 a (*.f64 b 3)))
(-.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)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (.f64 (pow.f64 (.f64 z t) 3) 1/27) 1/3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (-.f64 (+.f64 1 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2)) 1))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (fma.f64 z (.f64 t -1/3) y))))))) (/.f64 a (.f64 b 3)))
(-.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)))
(fma.f64 (sqrt.f64 x) (.f64 2 (sqrt.f64 (pow.f64 (cos.f64 y) 2))) (/.f64 (.f64 a -1/3) b))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 (pow.f64 (cos.f64 y) 6)))) (/.f64 a (*.f64 b 3)))
(.f64 1/3 (exp.f64 (log.f64 (.f64 3 (fma.f64 a (/.f64 -1/3 b) (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)))))))
(-.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))))) 3)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (log.f64 (pow.f64 (exp.f64 1/3) t))))) (/.f64 a (.f64 b 3)))
(fma.f64 (cbrt.f64 (.f64 x 4)) (.f64 (cbrt.f64 (.f64 2 (sqrt.f64 x))) (cos.f64 y)) (.f64 a (neg.f64 (/.f64 1/3 b))))
(fma.f64 (sqrt.f64 x) (.f64 2 (sqrt.f64 (pow.f64 (cos.f64 (.f64 t (.f64 z -1/3))) 2))) (/.f64 (.f64 a -1/3) b))
(fma.f64 (cbrt.f64 (.f64 x 4)) (.f64 (cbrt.f64 (.f64 2 (sqrt.f64 x))) (cos.f64 y)) (.f64 a (neg.f64 (/.f64 1/3 b))))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (log.f64 (pow.f64 (exp.f64 1/3) t))))) (/.f64 a (.f64 b 3)))
(fma.f64 (.f64 (cos.f64 y) (cbrt.f64 (.f64 x 4))) (cbrt.f64 (.f64 2 (sqrt.f64 x))) (.f64 a (neg.f64 (/.f64 1/3 b))))
(.f64 1/3 (pow.f64 (pow.f64 (.f64 3 (fma.f64 a (/.f64 -1/3 b) (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)))) 3) 1/3))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (expm1.f64 (log1p.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))))) (/.f64 a (.f64 b 3)))
(-.f64 (exp.f64 (log.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))))) (/.f64 a (.f64 b 3)))
(-.f64 (expm1.f64 (log1p.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (expm1.f64 (.f64 z (.f64 t -1/3)))) 2))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (.f64 (cbrt.f64 t) (cbrt.f64 1/3)) 3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))) 3) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (sqrt.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))) 2)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))) 3)) (/.f64 a (.f64 b 3)))
(-.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))) 3)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) 3))) (/.f64 a (.f64 b 3)))
(-.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x)))) 3) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) 2))) (/.f64 a (.f64 b 3)))
(-.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (.f64 t (.f64 z -1/3))))))) 3)) (/.f64 a (.f64 b 3)))
(-.f64 (pow.f64 (pow.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))) 3) 1/3) (/.f64 a (.f64 b 3)))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))))) 1) (/.f64 a (.f64 b 3)))
(-.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)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)))))) (/.f64 a (.f64 b 3)))
(-.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))) 3) 1/3) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (pow.f64 (pow.f64 (.f64 1/3 t) 1/6) 2) 3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 (pow.f64 (cbrt.f64 t) 2) (.f64 (cbrt.f64 t) 1/3))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 (pow.f64 (cbrt.f64 (.f64 1/3 t)) 2) (cbrt.f64 (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (expm1.f64 (.f64 (.f64 t z) (+.f64 (.f64 -1/18 (.f64 t z)) -1/3)))) 2))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (cbrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))

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

Calls

19 calls:

207.0ms	(/.f64 a (*.f64 b 3))
198.0ms	(*.f64 b 3)
189.0ms	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))
181.0ms	(sqrt.f64 x)
134.0ms	t

Results

Error	Segments	Branch
19.6b	1	`x`
19.6b	1	`y`
19.6b	1	`z`
19.6b	1	`t`
19.6b	1	`a`
19.6b	1	`b`
19.6b	1	`(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))`
19.6b	1	`(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))`
19.6b	1	`(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))`
19.6b	1	`(*.f64 2 (sqrt.f64 x))`
19.6b	1	`(sqrt.f64 x)`
19.6b	1	`(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))`
19.6b	1	`(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))`
19.6b	1	`(-.f64 y (/.f64 (*.f64 z t) 3))`
19.6b	1	`(-.f64 y (/.f64 (*.f64 z t) 3))`
19.6b	1	`(/.f64 (*.f64 z t) 3)`
19.6b	1	`(*.f64 z t)`
19.6b	1	`(/.f64 a (*.f64 b 3))`
19.6b	1	`(*.f64 b 3)`

Compiler

Compiled 2968 to 1936 computations (34.8% saved)

regimes233.0ms (0.7%)

Counts

32 → 1

Calls

Call 1

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

Outputs
(.f64 1/3 (-.f64 (.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 6)) (/.f64 a b)))

Calls

13 calls:

20.0ms	y
18.0ms	x
18.0ms	z
18.0ms	a
17.0ms	(*.f64 b 3)

Results

Error	Segments	Branch
19.9b	1	`x`
19.9b	1	`y`
19.9b	1	`z`
19.9b	1	`t`
19.9b	1	`a`
19.9b	1	`b`
19.9b	1	`(*.f64 2 (sqrt.f64 x))`
19.9b	1	`(*.f64 2 (sqrt.f64 x))`
19.9b	1	`(sqrt.f64 x)`
19.9b	1	`(/.f64 a (*.f64 b 3))`
19.9b	1	`(/.f64 a (*.f64 b 3))`
19.9b	1	`(*.f64 b 3)`
19.9b	1	`(*.f64 b 3)`

Compiler

Compiled 394 to 277 computations (29.7% saved)

regimes281.0ms (0.8%)

Counts

31 → 3

Calls

Call 1

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

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

Calls

11 calls:

39.0ms	(/.f64 a (*.f64 b 3))
36.0ms	(/.f64 a (*.f64 b 3))
29.0ms	x
29.0ms	z
28.0ms	y

Results

Error	Segments	Branch
24.5b	1	`x`
24.5b	1	`y`
24.5b	1	`z`
24.5b	1	`t`
24.5b	1	`a`
24.5b	1	`b`
24.5b	1	`(*.f64 2 (sqrt.f64 x))`
24.5b	1	`(sqrt.f64 x)`
20.6b	3	`(/.f64 a (*.f64 b 3))`
20.6b	3	`(/.f64 a (*.f64 b 3))`
24.5b	1	`(*.f64 b 3)`

Compiler

Compiled 362 to 254 computations (29.8% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.1191845421348028e-65	2.8583511679012183e-52
0.0ms	-1.0039517309525384e-154	-1.304223921444393e-155

Compiler

Compiled 34 to 27 computations (20.6% saved)

regimes195.0ms (0.6%)

Counts

18 → 1

Calls

Call 1

Inputs
(/.f64 a (*.f64 b -3))
(/.f64 (*.f64 -1/3 a) b)
(*.f64 a (/.f64 -1/3 b))
(/.f64 -1/3 (/.f64 b a))
(/.f64 (*.f64 -1/3 a) b)
(*.f64 -1/3 (/.f64 a b))
(.f64 a (.f64 (/.f64 1 b) -1/3))
(/.f64 1 (/.f64 b (*.f64 -1/3 a)))
(-.f64 (+.f64 1 (*.f64 (/.f64 -1/3 b) a)) 1)
(*.f64 a (-.f64 (+.f64 1 (/.f64 -1/3 b)) 1))
(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 a b))) 1)
(.f64 a (pow.f64 (.f64 b -3) -1))
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
(.f64 1/3 (.f64 3 (+.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))))
(.f64 1/3 (-.f64 (.f64 (sqrt.f64 x) (+.f64 6 (.f64 y (.f64 y -3)))) (/.f64 a b)))
(-.f64 (.f64 (sqrt.f64 x) (+.f64 2 (.f64 (.f64 t z) (+.f64 (.f64 2/3 y) (.f64 t (.f64 z -1/9)))))) (/.f64 a (*.f64 b 3)))

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

Calls

10 calls:

21.0ms	b
20.0ms	(*.f64 b 3)
19.0ms	z
19.0ms	a
19.0ms	(sqrt.f64 x)

Results

Error	Segments	Branch
24.5b	1	`x`
24.5b	1	`y`
24.5b	1	`z`
24.5b	1	`t`
24.5b	1	`a`
24.5b	1	`b`
24.5b	1	`(*.f64 2 (sqrt.f64 x))`
24.5b	1	`(sqrt.f64 x)`
24.5b	1	`(/.f64 a (*.f64 b 3))`
24.5b	1	`(*.f64 b 3)`

Compiler

Compiled 248 to 179 computations (27.8% saved)

regimes54.0ms (0.2%)

Accuracy

Total -10.4b remaining (-29.3%)

Threshold costs -10.4b (-29.3%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

6 calls:

9.0ms	y
8.0ms	t
8.0ms	z
8.0ms	a
7.0ms	x

Results

Error	Segments	Branch
35.4b	1	`x`
35.4b	1	`y`
35.4b	1	`z`
35.4b	1	`t`
35.4b	1	`a`
35.4b	1	`b`

Compiler

Compiled 126 to 95 computations (24.6% saved)

simplify22.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

28×	`*-commutative_binary64`
16×	`+-commutative_binary64`
15×	`sub-neg_binary64`
7×	`neg-sub0_binary64`
7×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	448
1	117	448
2	149	448
3	163	448
4	172	448
5	174	448

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 z t) -4999999999999999913683878919592799158619891437790466139288573575168) (-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3))) (if (<=.f64 (.f64 z t) 199999999999999999538074049028741601393225095984807677841113727932195173096259352955823864957370368) (-.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 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))))
(if (<=.f64 (.f64 z t) -4999999999999999913683878919592799158619891437790466139288573575168) (-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3))) (if (<=.f64 (.f64 z t) 199999999999999999538074049028741601393225095984807677841113727932195173096259352955823864957370368) (-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))))) (/.f64 a (.f64 b 3))) (-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (*.f64 b 3)))))
(if (<=.f64 (.f64 z t) -1000000000000000008493621433689702976148869924598760615894999102702796905906176) (-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3))) (if (<=.f64 (.f64 z t) 50000000) (-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (.f64 b 3))) (-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (*.f64 b 3)))))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
(.f64 1/3 (-.f64 (.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 6)) (/.f64 a b)))
(if (<=.f64 (/.f64 a (.f64 b 3)) -3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808) (-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3))) (if (<=.f64 (/.f64 a (.f64 b 3)) 4742843975160471/237142198758023568227473377297792835283496928595231875152809132048206089502588928) (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))))
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(/.f64 a (*.f64 b -3))

Outputs
(if (<=.f64 (.f64 z t) -4999999999999999913683878919592799158619891437790466139288573575168) (-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3))) (if (<=.f64 (.f64 z t) 199999999999999999538074049028741601393225095984807677841113727932195173096259352955823864957370368) (-.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 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))))
(if (<=.f64 (.f64 z t) -4999999999999999913683878919592799158619891437790466139288573575168) (-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3))) (if (<=.f64 (.f64 z t) 199999999999999999538074049028741601393225095984807677841113727932195173096259352955823864957370368) (-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))))) (/.f64 a (.f64 b 3))) (-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (*.f64 b 3)))))
(if (<=.f64 (.f64 z t) -1000000000000000008493621433689702976148869924598760615894999102702796905906176) (-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3))) (if (<=.f64 (.f64 z t) 50000000) (-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (.f64 b 3))) (-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (*.f64 b 3)))))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
(.f64 1/3 (-.f64 (.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 6)) (/.f64 a b)))
(if (<=.f64 (/.f64 a (.f64 b 3)) -3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808) (-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3))) (if (<=.f64 (/.f64 a (.f64 b 3)) 4742843975160471/237142198758023568227473377297792835283496928595231875152809132048206089502588928) (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))))
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(/.f64 a (*.f64 b -3))

Compiler

Compiled 340 to 237 computations (30.3% saved)

soundness0.0ms (0%)

end153.0ms (0.4%)

Remove: (sort z t)
Compiler: Compiled 478 to 299 computations (37.4% saved)