Details

analyze635.0ms (2.4%)

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)

sample4.6s (17.4%)

Results

1.2s	5027×	body	256	valid
1.0s	4834×	body	256	invalid
1.0s	1679×	body	1024	valid
699.0ms	765×	body	2048	valid
323.0ms	785×	body	512	valid
297.0ms	1168×	body	256	infinite

Bogosity

preprocess102.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1
2
3
4
5

Outputs
0
1
2
3
2
4
5

Call 2

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

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

Symmetry

(sort z t)

Compiler

Compiled 31 to 25 computations (19.4% saved)

simplify76.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

19.7b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	20.1b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (/.f64 (*.f64 a -1/3) b))
▶	20.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))

Compiler

Compiled 48 to 36 computations (25% saved)

localize37.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (*.f64 z t) 3)
✓	0.2b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
✓	0.3b	(/.f64 a (*.f64 b 3))
✓	25.7b	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))

Compiler

Compiled 83 to 44 computations (47% saved)

series26.0ms (0.1%)

Counts

4 → 120

Calls

33 calls:

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

rewrite98.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 125

Calls

Call 1

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

simplify117.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	100	1982
1	305	1827
2	970	1713
3	4592	1707

Stop Event

1×	node limit

Counts

245 → 165

Calls

Call 1

Inputs
(cos.f64 (neg.f64 (.f64 1/3 (.f64 t z))))
(+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) y)) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) y)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z))))))
(+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) y)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))) (+.f64 (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) (.f64 1/6 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) (pow.f64 y 3))))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (neg.f64 (+.f64 (.f64 1/3 (.f64 t z)) (*.f64 -1 y))))
(cos.f64 (neg.f64 (+.f64 (.f64 1/3 (.f64 t z)) (*.f64 -1 y))))
(cos.f64 (neg.f64 (+.f64 (.f64 1/3 (.f64 t z)) (*.f64 -1 y))))
(cos.f64 (neg.f64 (+.f64 (.f64 1/3 (.f64 t z)) (*.f64 -1 y))))
(cos.f64 y)
(+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))
(+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))))
(+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y)))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 y)
(+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (+.f64 (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (pow.f64 z 2) (cos.f64 y))))))
(+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y)))) (+.f64 (cos.f64 y) (+.f64 (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 -1/18 (.f64 (pow.f64 t 2) (*.f64 (pow.f64 z 2) (cos.f64 y)))))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(.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 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 -1/2 (.f64 y 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 1/6 (.f64 (sin.f64 (.f64 -1/3 (*.f64 t z))) (pow.f64 y 3)))))
(+.f64 (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 y y)) 1) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 (sin.f64 (.f64 (.f64 t z) -1/3)) y)) (.f64 (sin.f64 (.f64 (.f64 t z) -1/3)) (.f64 (pow.f64 y 3) 1/6)))
(fma.f64 (fma.f64 (.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 -1/2 (.f64 y y) 1) (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (-.f64 (*.f64 1/6 (pow.f64 y 3)) y)))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (-.f64 y (.f64 1/3 (.f64 t z))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (neg.f64 (+.f64 (.f64 1/3 (.f64 t z)) (*.f64 -1 y))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (neg.f64 (+.f64 (.f64 1/3 (.f64 t z)) (*.f64 -1 y))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (neg.f64 (+.f64 (.f64 1/3 (.f64 t z)) (*.f64 -1 y))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 (neg.f64 (+.f64 (.f64 1/3 (.f64 t z)) (*.f64 -1 y))))
(cos.f64 (+.f64 y (.f64 -1/3 (.f64 t z))))
(cos.f64 (fma.f64 -1/3 (*.f64 t z) y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 t (*.f64 z -1/3) y))
(cos.f64 y)
(+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (.f64 (.f64 1/3 t) (*.f64 z (sin.f64 y))))
(fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (cos.f64 y))
(fma.f64 t (.f64 z (.f64 1/3 (sin.f64 y))) (cos.f64 y))
(fma.f64 (.f64 z (.f64 1/3 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 (.f64 1/3 t) (*.f64 z (sin.f64 y)))))
(fma.f64 -1/18 (.f64 (cos.f64 y) (.f64 (.f64 t z) (.f64 t z))) (fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (cos.f64 y)))
(fma.f64 t (.f64 z (.f64 1/3 (sin.f64 y))) (fma.f64 (.f64 (cos.f64 y) (.f64 t (.f64 t -1/18))) (.f64 z z) (cos.f64 y)))
(fma.f64 t (.f64 1/3 (.f64 z (sin.f64 y))) (fma.f64 (.f64 (cos.f64 y) (.f64 t (.f64 t -1/18))) (.f64 z z) (cos.f64 y)))
(+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y)))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(fma.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (sin.f64 y) (pow.f64 z 3))) (fma.f64 -1/18 (.f64 (.f64 (.f64 t t) (.f64 z z)) (cos.f64 y)) (+.f64 (cos.f64 y) (.f64 (.f64 1/3 t) (*.f64 z (sin.f64 y))))))
(fma.f64 -1/162 (.f64 (sin.f64 y) (.f64 (pow.f64 t 3) (pow.f64 z 3))) (fma.f64 -1/18 (.f64 (cos.f64 y) (.f64 (.f64 t z) (.f64 t z))) (fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (cos.f64 y))))
(+.f64 (fma.f64 (.f64 (cos.f64 y) (.f64 t (.f64 t -1/18))) (.f64 z z) (cos.f64 y)) (.f64 (sin.f64 y) (+.f64 (.f64 1/3 (.f64 t z)) (.f64 -1/162 (*.f64 (pow.f64 t 3) (pow.f64 z 3))))))
(+.f64 (fma.f64 (.f64 (cos.f64 y) (.f64 t (.f64 t -1/18))) (.f64 z z) (cos.f64 y)) (.f64 (sin.f64 y) (+.f64 (.f64 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 t (.f64 z (.f64 1/3 (sin.f64 y))) (cos.f64 y))
(fma.f64 (.f64 z (.f64 1/3 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 (.f64 1/3 t) (*.f64 z (sin.f64 y)))))
(fma.f64 -1/18 (.f64 (cos.f64 y) (.f64 (.f64 t z) (.f64 t z))) (fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (cos.f64 y)))
(fma.f64 t (.f64 z (.f64 1/3 (sin.f64 y))) (fma.f64 (.f64 (cos.f64 y) (.f64 t (.f64 t -1/18))) (.f64 z z) (cos.f64 y)))
(fma.f64 t (.f64 1/3 (.f64 z (sin.f64 y))) (fma.f64 (.f64 (cos.f64 y) (.f64 t (.f64 t -1/18))) (.f64 z z) (cos.f64 y)))
(+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y)))) (+.f64 (cos.f64 y) (+.f64 (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 -1/18 (.f64 (pow.f64 t 2) (*.f64 (pow.f64 z 2) (cos.f64 y)))))))
(fma.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (sin.f64 y) (pow.f64 z 3))) (fma.f64 -1/18 (.f64 (.f64 (.f64 t t) (.f64 z z)) (cos.f64 y)) (+.f64 (cos.f64 y) (.f64 (.f64 1/3 t) (*.f64 z (sin.f64 y))))))
(fma.f64 -1/162 (.f64 (sin.f64 y) (.f64 (pow.f64 t 3) (pow.f64 z 3))) (fma.f64 -1/18 (.f64 (cos.f64 y) (.f64 (.f64 t z) (.f64 t z))) (fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (cos.f64 y))))
(+.f64 (fma.f64 (.f64 (cos.f64 y) (.f64 t (.f64 t -1/18))) (.f64 z z) (cos.f64 y)) (.f64 (sin.f64 y) (+.f64 (.f64 1/3 (.f64 t z)) (.f64 -1/162 (*.f64 (pow.f64 t 3) (pow.f64 z 3))))))
(+.f64 (fma.f64 (.f64 (cos.f64 y) (.f64 t (.f64 t -1/18))) (.f64 z z) (cos.f64 y)) (.f64 (sin.f64 y) (+.f64 (.f64 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 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(.f64 2 (.f64 (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) (sqrt.f64 x)))
(.f64 (.f64 2 (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)))
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(.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 2 (.f64 (cos.f64 (fma.f64 t (*.f64 z -1/3) 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 (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 2 (.f64 (cos.f64 (fma.f64 t (*.f64 z -1/3) 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 (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 2 (.f64 (cos.f64 (fma.f64 t (*.f64 z -1/3) 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 (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 2 (.f64 (cos.f64 (fma.f64 t (*.f64 z -1/3) 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 (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 2 (.f64 (cos.f64 (fma.f64 t (*.f64 z -1/3) y)) (sqrt.f64 x)))
(.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)
✓	0.4b	(*.f64 a -1/3)
✓	0.4b	(*.f64 t -1/3)
✓	25.8b	(cos.f64 (fma.f64 z (*.f64 t -1/3) y))

Compiler

Compiled 66 to 39 computations (40.9% saved)

series11.0ms (0%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	t	@	-inf	(*.f64 t -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))
0.0ms	t	@	0	(*.f64 t -1/3)

rewrite81.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 124

Calls

Call 1

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

simplify85.0ms (0.3%)

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

eval299.0ms (1.1%)

Compiler: Compiled 7833 to 4807 computations (38.6% saved)

prune186.0ms (0.7%)

Pruning

46 alts after pruning (46 fresh and 0 done)

	Pruned	Kept	Total
New	266	46	312
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	268	46	314

Error

14.7b

Counts

314 → 46

Alt Table

Click to see full alt table

Status	Error	Program
	34.5b	(-.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)))
	20.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 1/3 b) a))
	20.1b	(-.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)))
	20.1b	(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))
▶	17.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
	20.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 z 3) t)))) (/.f64 a (.f64 b 3)))
	52.0b	(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))
	35.0b	(-.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)))
	38.6b	(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))
	20.1b	(fma.f64 (sqrt.f64 x) (.f64 2 (log.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))) (/.f64 (*.f64 a -1/3) b))
	36.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (exp.f64 (log.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
	29.0b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 t (sin.f64 y)) (.f64 z 2/3)) (.f64 (cos.f64 y) (+.f64 (.f64 -1/9 (.f64 t (.f64 z (.f64 t z)))) 2)))) (/.f64 a (.f64 b 3)))
	20.1b	(fma.f64 (sqrt.f64 x) (.f64 2 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))))) (/.f64 (.f64 a -1/3) b))
	27.6b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (.f64 t (.f64 z -1/3)))) (/.f64 (.f64 a -1/3) b))
	19.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2) (cbrt.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (.f64 b 3)))
	24.8b	(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))
	20.6b	(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))
	23.6b	(-.f64 (+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))) (/.f64 a (*.f64 b 3)))
	38.6b	(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))
	20.2b	(-.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)))
▶	26.1b	(-.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)))
	20.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 1 b) (/.f64 a 3)))
	20.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))))) (/.f64 a (.f64 b 3)))
	25.6b	(-.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)))
	19.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
	24.8b	(-.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)))
	20.0b	(-.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)))
	20.0b	(-.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)))
	23.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))))) (/.f64 a (.f64 b 3)))
	20.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (/.f64 (/.f64 3 z) t) -1)))) (/.f64 a (*.f64 b 3)))
	20.2b	(fma.f64 (sqrt.f64 x) (.f64 2 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) 3)) (/.f64 (*.f64 a -1/3) b))
▶	31.5b	(-.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)))
	19.6b	(-.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)))
	20.4b	(-.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)))
▶	34.8b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (expm1.f64 (log1p.f64 (.f64 t -1/3))) y))) (/.f64 (*.f64 a -1/3) b))
	20.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 z (/.f64 1 (/.f64 3 t)))))) (/.f64 a (.f64 b 3)))
	39.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (pow.f64 (sqrt.f64 (.f64 a (/.f64 1/3 b))) 2))
▶	27.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 1/3 t)))) (/.f64 a (*.f64 b 3)))
	24.8b	(-.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)))
	19.6b	(-.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)))
	27.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z))))) (/.f64 a (*.f64 b 3)))
	19.6b	(-.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)))
	19.7b	(-.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)))
	20.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 a b) 1/3))
	17.2b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)) (/.f64 (.f64 a -1/3) b))
	36.5b	(-.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)))

Compiler

Compiled 2680 to 2038 computations (24% saved)

localize41.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
✓	0.1b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
	0.3b	(/.f64 a (*.f64 b 3))

Compiler

Compiled 48 to 27 computations (43.8% saved)

series21.0ms (0.1%)

Counts

2 → 49

Calls

18 calls:

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

rewrite185.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 146

Calls

Call 1

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

Outputs

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

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

simplify73.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

195 → 167

Calls

Call 1

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

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

localize34.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 1/3 t))))
	0.3b	(/.f64 a (*.f64 b 3))
✓	0.4b	(*.f64 1/3 t)
✓	28.7b	(cos.f64 (.f64 z (.f64 1/3 t)))

Compiler

Compiled 70 to 44 computations (37.1% saved)

series12.0ms (0%)

Counts

3 → 48

Calls

18 calls:

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

rewrite80.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

591×	`log-prod_binary64`
484×	`prod-diff_binary64`
359×	`pow-prod-down_binary64`
298×	`pow2_binary64`
237×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	30
1	242	30
2	2784	30

Stop Event

1×	node limit

Counts

3 → 69

Calls

Call 1

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

Outputs

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

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

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

simplify238.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

599×	`sqr-pow_binary64`
499×	`associate-+l+_binary64`
498×	`distribute-rgt-in_binary64`
460×	`associate-+r+_binary64`
444×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	50	856
1	134	832
2	398	796
3	1836	796
4	2668	796
5	3087	760
6	4782	760
7	5761	724
8	6325	724
9	6733	724
10	7251	724
11	7795	724

Stop Event

1×	node limit

Counts

117 → 87

Calls

Call 1

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

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

localize162.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 1/3 (.f64 t z))
✓	2.8b	(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)
✓	28.6b	(cos.f64 (neg.f64 (.f64 1/3 (.f64 t z))))
✓	28.7b	(sin.f64 (neg.f64 (.f64 1/3 (.f64 t z))))

Compiler

Compiled 151 to 90 computations (40.4% saved)

series89.0ms (0.3%)

Counts

4 → 24

Calls

27 calls:

Time	Variable		Point	Expression
62.0ms	t	@	-inf	(sin.f64 (neg.f64 (.f64 1/3 (.f64 t z))))
8.0ms	y	@	0	(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)
1.0ms	t	@	0	(sin.f64 (neg.f64 (.f64 1/3 (.f64 t z))))
1.0ms	y	@	inf	(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)
1.0ms	z	@	0	(sin.f64 (neg.f64 (.f64 1/3 (.f64 t z))))

rewrite98.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

546×	`log-prod_binary64`
420×	`exp-prod_binary64`
326×	`prod-exp_binary64`
297×	`pow-prod-down_binary64`
274×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	37
1	229	37
2	2808	37

Stop Event

1×	node limit

Counts

4 → 134

Calls

Call 1

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

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

simplify193.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

591×	`associate-+l+_binary64`
561×	`associate-l_binary64`
521×	`associate-+r+_binary64`
514×	`associate-r_binary64`
512×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	67	660
1	198	656
2	634	632
3	3043	616
4	3578	580
5	4466	562
6	6384	562
7	7277	544
8	7865	544

Stop Event

1×	node limit

Counts

158 → 157

Calls

Call 1

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

Outputs
(.f64 -1/3 (.f64 t z))
(.f64 (.f64 -1/3 t) z)
(.f64 z (.f64 -1/3 t))
(+.f64 (.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (.f64 -1/3 (.f64 t z)))
(fma.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)) (.f64 (*.f64 -1/3 t) z))
(fma.f64 -1/3 (.f64 t z) (.f64 1/162 (*.f64 (pow.f64 t 3) (pow.f64 z 3))))
(fma.f64 -1/3 (.f64 t z) (.f64 1/162 (pow.f64 (*.f64 t z) 3)))
(fma.f64 1/162 (pow.f64 (.f64 t z) 3) (.f64 z (*.f64 -1/3 t)))
(+.f64 (.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (+.f64 (.f64 -1/3 (.f64 t z)) (.f64 -1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)))))
(fma.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)) (fma.f64 -1/3 (.f64 t z) (.f64 (.f64 -1/29160 (pow.f64 t 5)) (pow.f64 z 5))))
(fma.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)) (fma.f64 -1/3 (.f64 t z) (.f64 -1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)))))
(fma.f64 -1/3 (.f64 t z) (fma.f64 (pow.f64 z 3) (.f64 1/162 (pow.f64 t 3)) (.f64 -1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)))))
(fma.f64 1/162 (pow.f64 (.f64 t z) 3) (fma.f64 -1/3 (.f64 t z) (.f64 -1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)))))
(fma.f64 1/162 (pow.f64 (.f64 t z) 3) (fma.f64 -1/3 (.f64 t z) (.f64 (pow.f64 t 5) (.f64 -1/29160 (pow.f64 z 5)))))
(+.f64 (.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (+.f64 (.f64 1/11022480 (.f64 (pow.f64 t 7) (pow.f64 z 7))) (+.f64 (.f64 -1/3 (.f64 t z)) (.f64 -1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5))))))
(fma.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)) (fma.f64 1/11022480 (.f64 (pow.f64 t 7) (pow.f64 z 7)) (fma.f64 -1/3 (.f64 t z) (.f64 (*.f64 -1/29160 (pow.f64 t 5)) (pow.f64 z 5)))))
(fma.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)) (fma.f64 1/11022480 (.f64 (pow.f64 t 7) (pow.f64 z 7)) (fma.f64 -1/3 (.f64 t z) (.f64 -1/29160 (*.f64 (pow.f64 t 5) (pow.f64 z 5))))))
(fma.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)) (fma.f64 -1/3 (.f64 t z) (fma.f64 1/11022480 (.f64 (pow.f64 t 7) (pow.f64 z 7)) (.f64 -1/29160 (*.f64 (pow.f64 t 5) (pow.f64 z 5))))))
(fma.f64 1/162 (pow.f64 (.f64 t z) 3) (fma.f64 -1/3 (.f64 t z) (fma.f64 1/11022480 (.f64 (pow.f64 t 7) (pow.f64 z 7)) (.f64 -1/29160 (*.f64 (pow.f64 t 5) (pow.f64 z 5))))))
(fma.f64 1/162 (pow.f64 (.f64 t z) 3) (fma.f64 -1/3 (.f64 t z) (fma.f64 (pow.f64 z 7) (.f64 1/11022480 (pow.f64 t 7)) (.f64 (pow.f64 t 5) (*.f64 -1/29160 (pow.f64 z 5))))))
(.f64 -1/3 (.f64 t z))
(.f64 (.f64 -1/3 t) z)
(.f64 z (.f64 -1/3 t))
(+.f64 (.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (.f64 -1/3 (.f64 t z)))
(fma.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)) (.f64 (*.f64 -1/3 t) z))
(fma.f64 -1/3 (.f64 t z) (.f64 1/162 (*.f64 (pow.f64 t 3) (pow.f64 z 3))))
(fma.f64 -1/3 (.f64 t z) (.f64 1/162 (pow.f64 (*.f64 t z) 3)))
(fma.f64 1/162 (pow.f64 (.f64 t z) 3) (.f64 z (*.f64 -1/3 t)))
(+.f64 (.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (+.f64 (.f64 -1/3 (.f64 t z)) (.f64 -1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)))))
(fma.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)) (fma.f64 -1/3 (.f64 t z) (.f64 (.f64 -1/29160 (pow.f64 t 5)) (pow.f64 z 5))))
(fma.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)) (fma.f64 -1/3 (.f64 t z) (.f64 -1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)))))
(fma.f64 -1/3 (.f64 t z) (fma.f64 (pow.f64 z 3) (.f64 1/162 (pow.f64 t 3)) (.f64 -1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)))))
(fma.f64 1/162 (pow.f64 (.f64 t z) 3) (fma.f64 -1/3 (.f64 t z) (.f64 -1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)))))
(fma.f64 1/162 (pow.f64 (.f64 t z) 3) (fma.f64 -1/3 (.f64 t z) (.f64 (pow.f64 t 5) (.f64 -1/29160 (pow.f64 z 5)))))
(+.f64 (.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (+.f64 (.f64 1/11022480 (.f64 (pow.f64 t 7) (pow.f64 z 7))) (+.f64 (.f64 -1/3 (.f64 t z)) (.f64 -1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5))))))
(fma.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)) (fma.f64 1/11022480 (.f64 (pow.f64 t 7) (pow.f64 z 7)) (fma.f64 -1/3 (.f64 t z) (.f64 (*.f64 -1/29160 (pow.f64 t 5)) (pow.f64 z 5)))))
(fma.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)) (fma.f64 1/11022480 (.f64 (pow.f64 t 7) (pow.f64 z 7)) (fma.f64 -1/3 (.f64 t z) (.f64 -1/29160 (*.f64 (pow.f64 t 5) (pow.f64 z 5))))))
(fma.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)) (fma.f64 -1/3 (.f64 t z) (fma.f64 1/11022480 (.f64 (pow.f64 t 7) (pow.f64 z 7)) (.f64 -1/29160 (*.f64 (pow.f64 t 5) (pow.f64 z 5))))))
(fma.f64 1/162 (pow.f64 (.f64 t z) 3) (fma.f64 -1/3 (.f64 t z) (fma.f64 1/11022480 (.f64 (pow.f64 t 7) (pow.f64 z 7)) (.f64 -1/29160 (*.f64 (pow.f64 t 5) (pow.f64 z 5))))))
(fma.f64 1/162 (pow.f64 (.f64 t z) 3) (fma.f64 -1/3 (.f64 t z) (fma.f64 (pow.f64 z 7) (.f64 1/11022480 (pow.f64 t 7)) (.f64 (pow.f64 t 5) (*.f64 -1/29160 (pow.f64 z 5))))))
1
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 1 (.f64 (.f64 -1/18 (.f64 t t)) (.f64 z z)))
(fma.f64 -1/18 (.f64 (.f64 t z) (*.f64 t z)) 1)
(fma.f64 -1/18 (.f64 t (.f64 z (*.f64 t z))) 1)
(fma.f64 (.f64 t t) (.f64 z (*.f64 z -1/18)) 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 (.f64 -1/18 (.f64 t t)) (*.f64 z z))))
(+.f64 1 (fma.f64 -1/18 (.f64 (.f64 t z) (.f64 t z)) (.f64 1/1944 (*.f64 (pow.f64 t 4) (pow.f64 z 4)))))
(fma.f64 -1/18 (.f64 t (.f64 z (.f64 t z))) (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) 1))
(fma.f64 -1/18 (.f64 t (.f64 z (.f64 t z))) (fma.f64 1/1944 (pow.f64 (.f64 t z) 4) 1))
(fma.f64 -1/18 (pow.f64 (.f64 t z) 2) (fma.f64 1/1944 (pow.f64 (.f64 t z) 4) 1))
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(+.f64 1 (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (fma.f64 -1/18 (.f64 (.f64 t t) (.f64 z z)) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(+.f64 1 (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (fma.f64 (.f64 (.f64 -1/18 t) t) (.f64 z z) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(+.f64 1 (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (fma.f64 -1/18 (.f64 t (.f64 z (.f64 t z))) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(+.f64 1 (fma.f64 1/1944 (pow.f64 (.f64 t z) 4) (fma.f64 -1/18 (.f64 t (.f64 z (.f64 t z))) (.f64 -1/524880 (pow.f64 (.f64 t z) 6)))))
(+.f64 (fma.f64 1/1944 (pow.f64 (.f64 t z) 4) (.f64 t (.f64 t (.f64 z (.f64 z -1/18))))) (fma.f64 -1/524880 (pow.f64 (.f64 t z) 6) 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 (.f64 -1/18 (.f64 t t)) (.f64 z z)))
(fma.f64 -1/18 (.f64 (.f64 t z) (*.f64 t z)) 1)
(fma.f64 -1/18 (.f64 t (.f64 z (*.f64 t z))) 1)
(fma.f64 (.f64 t t) (.f64 z (*.f64 z -1/18)) 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 (.f64 -1/18 (.f64 t t)) (*.f64 z z))))
(+.f64 1 (fma.f64 -1/18 (.f64 (.f64 t z) (.f64 t z)) (.f64 1/1944 (*.f64 (pow.f64 t 4) (pow.f64 z 4)))))
(fma.f64 -1/18 (.f64 t (.f64 z (.f64 t z))) (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) 1))
(fma.f64 -1/18 (.f64 t (.f64 z (.f64 t z))) (fma.f64 1/1944 (pow.f64 (.f64 t z) 4) 1))
(fma.f64 -1/18 (pow.f64 (.f64 t z) 2) (fma.f64 1/1944 (pow.f64 (.f64 t z) 4) 1))
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(+.f64 1 (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (fma.f64 -1/18 (.f64 (.f64 t t) (.f64 z z)) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(+.f64 1 (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (fma.f64 (.f64 (.f64 -1/18 t) t) (.f64 z z) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(+.f64 1 (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (fma.f64 -1/18 (.f64 t (.f64 z (.f64 t z))) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(+.f64 1 (fma.f64 1/1944 (pow.f64 (.f64 t z) 4) (fma.f64 -1/18 (.f64 t (.f64 z (.f64 t z))) (.f64 -1/524880 (pow.f64 (.f64 t z) 6)))))
(+.f64 (fma.f64 1/1944 (pow.f64 (.f64 t z) 4) (.f64 t (.f64 t (.f64 z (.f64 z -1/18))))) (fma.f64 -1/524880 (pow.f64 (.f64 t z) 6) 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))))
(.f64 -1/3 (.f64 y (*.f64 t z)))
(.f64 (.f64 -1/3 y) (*.f64 t z))
(.f64 -1/3 (.f64 t (*.f64 z y)))
(+.f64 (.f64 1/162 (.f64 y (.f64 (pow.f64 t 3) (pow.f64 z 3)))) (.f64 -1/3 (.f64 y (.f64 t z))))
(fma.f64 1/162 (.f64 (.f64 (pow.f64 t 3) (pow.f64 z 3)) y) (.f64 (.f64 -1/3 y) (*.f64 t z)))
(fma.f64 -1/3 (.f64 t (.f64 z y)) (.f64 (.f64 (*.f64 1/162 y) (pow.f64 t 3)) (pow.f64 z 3)))
(.f64 y (fma.f64 -1/3 (.f64 t z) (.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)))))
(.f64 y (fma.f64 -1/3 (.f64 t z) (.f64 1/162 (pow.f64 (.f64 t z) 3))))
(.f64 y (fma.f64 1/162 (pow.f64 (.f64 t z) 3) (.f64 z (.f64 -1/3 t))))
(+.f64 (.f64 1/162 (.f64 y (.f64 (pow.f64 t 3) (pow.f64 z 3)))) (+.f64 (.f64 -1/29160 (.f64 y (.f64 (pow.f64 t 5) (pow.f64 z 5)))) (.f64 -1/3 (.f64 y (*.f64 t z)))))
(fma.f64 1/162 (.f64 (.f64 (pow.f64 t 3) (pow.f64 z 3)) y) (fma.f64 -1/29160 (.f64 (.f64 (pow.f64 t 5) (pow.f64 z 5)) y) (.f64 (.f64 -1/3 y) (*.f64 t z))))
(fma.f64 1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) y)) (fma.f64 -1/3 (.f64 t (.f64 z y)) (.f64 -1/29160 (.f64 (pow.f64 t 5) (*.f64 (pow.f64 z 5) y)))))
(fma.f64 -1/3 (.f64 t (.f64 z y)) (.f64 y (fma.f64 (pow.f64 z 3) (.f64 1/162 (pow.f64 t 3)) (.f64 -1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5))))))
(.f64 y (fma.f64 -1/3 (.f64 t z) (fma.f64 (pow.f64 z 3) (.f64 1/162 (pow.f64 t 3)) (.f64 -1/29160 (*.f64 (pow.f64 t 5) (pow.f64 z 5))))))
(.f64 y (fma.f64 1/162 (pow.f64 (.f64 t z) 3) (fma.f64 -1/3 (.f64 t z) (.f64 -1/29160 (*.f64 (pow.f64 t 5) (pow.f64 z 5))))))
(.f64 y (fma.f64 1/162 (pow.f64 (.f64 t z) 3) (fma.f64 -1/3 (.f64 t z) (.f64 (pow.f64 t 5) (*.f64 -1/29160 (pow.f64 z 5))))))
(+.f64 (.f64 1/11022480 (.f64 y (.f64 (pow.f64 t 7) (pow.f64 z 7)))) (+.f64 (.f64 1/162 (.f64 y (.f64 (pow.f64 t 3) (pow.f64 z 3)))) (+.f64 (.f64 -1/29160 (.f64 y (.f64 (pow.f64 t 5) (pow.f64 z 5)))) (.f64 -1/3 (.f64 y (.f64 t z))))))
(fma.f64 1/11022480 (.f64 (.f64 (pow.f64 t 7) (pow.f64 z 7)) y) (fma.f64 1/162 (.f64 (.f64 (pow.f64 t 3) (pow.f64 z 3)) y) (fma.f64 -1/29160 (.f64 (.f64 (pow.f64 t 5) (pow.f64 z 5)) y) (.f64 (.f64 -1/3 y) (*.f64 t z)))))
(fma.f64 1/11022480 (.f64 (pow.f64 z 7) (.f64 (pow.f64 t 7) y)) (fma.f64 1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) y)) (fma.f64 -1/3 (.f64 t (.f64 z y)) (.f64 -1/29160 (.f64 (pow.f64 t 5) (*.f64 (pow.f64 z 5) y))))))
(+.f64 (.f64 y (fma.f64 (pow.f64 z 3) (.f64 1/162 (pow.f64 t 3)) (.f64 -1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5))))) (.f64 y (fma.f64 -1/3 (.f64 t z) (.f64 1/11022480 (.f64 (pow.f64 t 7) (pow.f64 z 7))))))
(.f64 y (fma.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)) (fma.f64 -1/3 (.f64 t z) (fma.f64 1/11022480 (.f64 (pow.f64 t 7) (pow.f64 z 7)) (.f64 -1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)))))))
(.f64 y (fma.f64 1/162 (pow.f64 (.f64 t z) 3) (fma.f64 -1/3 (.f64 t z) (fma.f64 1/11022480 (.f64 (pow.f64 t 7) (pow.f64 z 7)) (.f64 -1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)))))))
(.f64 y (fma.f64 1/162 (pow.f64 (.f64 t z) 3) (fma.f64 -1/3 (.f64 t z) (fma.f64 (pow.f64 z 7) (.f64 1/11022480 (pow.f64 t 7)) (.f64 (pow.f64 t 5) (.f64 -1/29160 (pow.f64 z 5)))))))
(.f64 -1/3 (.f64 y (*.f64 t z)))
(.f64 (.f64 -1/3 y) (*.f64 t z))
(.f64 -1/3 (.f64 t (*.f64 z y)))
(+.f64 (.f64 1/162 (.f64 y (.f64 (pow.f64 t 3) (pow.f64 z 3)))) (.f64 -1/3 (.f64 y (.f64 t z))))
(fma.f64 1/162 (.f64 (.f64 (pow.f64 t 3) (pow.f64 z 3)) y) (.f64 (.f64 -1/3 y) (*.f64 t z)))
(fma.f64 -1/3 (.f64 t (.f64 z y)) (.f64 (.f64 (*.f64 1/162 y) (pow.f64 t 3)) (pow.f64 z 3)))
(.f64 y (fma.f64 -1/3 (.f64 t z) (.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)))))
(.f64 y (fma.f64 -1/3 (.f64 t z) (.f64 1/162 (pow.f64 (.f64 t z) 3))))
(.f64 y (fma.f64 1/162 (pow.f64 (.f64 t z) 3) (.f64 z (.f64 -1/3 t))))
(+.f64 (.f64 1/162 (.f64 y (.f64 (pow.f64 t 3) (pow.f64 z 3)))) (+.f64 (.f64 -1/29160 (.f64 y (.f64 (pow.f64 t 5) (pow.f64 z 5)))) (.f64 -1/3 (.f64 y (*.f64 t z)))))
(fma.f64 1/162 (.f64 (.f64 (pow.f64 t 3) (pow.f64 z 3)) y) (fma.f64 -1/29160 (.f64 (.f64 (pow.f64 t 5) (pow.f64 z 5)) y) (.f64 (.f64 -1/3 y) (*.f64 t z))))
(fma.f64 1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) y)) (fma.f64 -1/3 (.f64 t (.f64 z y)) (.f64 -1/29160 (.f64 (pow.f64 t 5) (*.f64 (pow.f64 z 5) y)))))
(fma.f64 -1/3 (.f64 t (.f64 z y)) (.f64 y (fma.f64 (pow.f64 z 3) (.f64 1/162 (pow.f64 t 3)) (.f64 -1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5))))))
(.f64 y (fma.f64 -1/3 (.f64 t z) (fma.f64 (pow.f64 z 3) (.f64 1/162 (pow.f64 t 3)) (.f64 -1/29160 (*.f64 (pow.f64 t 5) (pow.f64 z 5))))))
(.f64 y (fma.f64 1/162 (pow.f64 (.f64 t z) 3) (fma.f64 -1/3 (.f64 t z) (.f64 -1/29160 (*.f64 (pow.f64 t 5) (pow.f64 z 5))))))
(.f64 y (fma.f64 1/162 (pow.f64 (.f64 t z) 3) (fma.f64 -1/3 (.f64 t z) (.f64 (pow.f64 t 5) (*.f64 -1/29160 (pow.f64 z 5))))))
(+.f64 (.f64 1/11022480 (.f64 y (.f64 (pow.f64 t 7) (pow.f64 z 7)))) (+.f64 (.f64 1/162 (.f64 y (.f64 (pow.f64 t 3) (pow.f64 z 3)))) (+.f64 (.f64 -1/29160 (.f64 y (.f64 (pow.f64 t 5) (pow.f64 z 5)))) (.f64 -1/3 (.f64 y (.f64 t z))))))
(fma.f64 1/11022480 (.f64 (.f64 (pow.f64 t 7) (pow.f64 z 7)) y) (fma.f64 1/162 (.f64 (.f64 (pow.f64 t 3) (pow.f64 z 3)) y) (fma.f64 -1/29160 (.f64 (.f64 (pow.f64 t 5) (pow.f64 z 5)) y) (.f64 (.f64 -1/3 y) (*.f64 t z)))))
(fma.f64 1/11022480 (.f64 (pow.f64 z 7) (.f64 (pow.f64 t 7) y)) (fma.f64 1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) y)) (fma.f64 -1/3 (.f64 t (.f64 z y)) (.f64 -1/29160 (.f64 (pow.f64 t 5) (*.f64 (pow.f64 z 5) y))))))
(+.f64 (.f64 y (fma.f64 (pow.f64 z 3) (.f64 1/162 (pow.f64 t 3)) (.f64 -1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5))))) (.f64 y (fma.f64 -1/3 (.f64 t z) (.f64 1/11022480 (.f64 (pow.f64 t 7) (pow.f64 z 7))))))
(.f64 y (fma.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)) (fma.f64 -1/3 (.f64 t z) (fma.f64 1/11022480 (.f64 (pow.f64 t 7) (pow.f64 z 7)) (.f64 -1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)))))))
(.f64 y (fma.f64 1/162 (pow.f64 (.f64 t z) 3) (fma.f64 -1/3 (.f64 t z) (fma.f64 1/11022480 (.f64 (pow.f64 t 7) (pow.f64 z 7)) (.f64 -1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)))))))
(.f64 y (fma.f64 1/162 (pow.f64 (.f64 t z) 3) (fma.f64 -1/3 (.f64 t z) (fma.f64 (pow.f64 z 7) (.f64 1/11022480 (pow.f64 t 7)) (.f64 (pow.f64 t 5) (.f64 -1/29160 (pow.f64 z 5)))))))

localize52.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(/.f64 a (*.f64 b 3))
✓	0.5b	(pow.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (*.f64 2 (sqrt.f64 x))) 3)
✓	17.5b	(cbrt.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (*.f64 2 (sqrt.f64 x))) 3))
✓	25.6b	(cos.f64 (fma.f64 (*.f64 z t) -1/3 y))

Compiler

Compiled 107 to 59 computations (44.9% saved)

series109.0ms (0.4%)

Counts

3 → 108

Calls

33 calls:

Time	Variable		Point	Expression
67.0ms	t	@	inf	(cbrt.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (*.f64 2 (sqrt.f64 x))) 3))
5.0ms	x	@	0	(pow.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (*.f64 2 (sqrt.f64 x))) 3)
4.0ms	z	@	0	(pow.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (*.f64 2 (sqrt.f64 x))) 3)
3.0ms	x	@	-inf	(pow.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (*.f64 2 (sqrt.f64 x))) 3)
3.0ms	y	@	inf	(pow.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (*.f64 2 (sqrt.f64 x))) 3)

rewrite123.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

695×	`log-prod_binary64`
436×	`pow-prod-down_binary64`
364×	`pow2_binary64`
300×	`pow-unpow_binary64`
255×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	49
1	330	49
2	3543	49

Stop Event

1×	node limit

Counts

3 → 103

Calls

Call 1

Inputs

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

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

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

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

simplify141.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

610×	`associate-r_binary64`
575×	`distribute-rgt-in_binary64`
574×	`distribute-lft-in_binary64`
519×	`associate-+l+_binary64`
497×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	284	4041
1	961	3911
2	3869	3495

Stop Event

1×	node limit

Counts

211 → 162

Calls

Call 1

Inputs
(cos.f64 y)
(+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))
(+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))))
(+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y)))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 y)
(+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (+.f64 (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (pow.f64 z 2) (cos.f64 y))))))
(+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y)))) (+.f64 (cos.f64 y) (+.f64 (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 -1/18 (.f64 (pow.f64 t 2) (*.f64 (pow.f64 z 2) (cos.f64 y)))))))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(+.f64 (.f64 -1 (.f64 y (sin.f64 (.f64 -1/3 (.f64 t z))))) (cos.f64 (.f64 -1/3 (.f64 t z))))
(+.f64 (.f64 -1 (.f64 y (sin.f64 (.f64 -1/3 (.f64 t z))))) (+.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (.f64 -1/2 (.f64 (pow.f64 y 2) (cos.f64 (.f64 -1/3 (.f64 t z)))))))
(+.f64 (.f64 -1 (.f64 y (sin.f64 (.f64 -1/3 (.f64 t z))))) (+.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) (sin.f64 (.f64 -1/3 (.f64 t z))))) (.f64 -1/2 (.f64 (pow.f64 y 2) (cos.f64 (.f64 -1/3 (.f64 t z))))))))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))))
(+.f64 (.f64 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)))
(.f64 8 (.f64 (pow.f64 (cos.f64 y) 3) (sqrt.f64 (pow.f64 x 3))))
(+.f64 (.f64 8 (.f64 (pow.f64 (cos.f64 y) 3) (sqrt.f64 (pow.f64 x 3)))) (.f64 (+.f64 (.f64 8/3 (.f64 (.f64 t (.f64 (pow.f64 (cos.f64 y) 2) (sin.f64 y))) (sqrt.f64 (pow.f64 x 3)))) (.f64 16/3 (.f64 (.f64 t (*.f64 (pow.f64 (cos.f64 y) 2) (sin.f64 y))) (sqrt.f64 (pow.f64 x 3))))) z))
(+.f64 (.f64 8 (.f64 (pow.f64 (cos.f64 y) 3) (sqrt.f64 (pow.f64 x 3)))) (+.f64 (.f64 (+.f64 (.f64 -4/9 (.f64 (.f64 (pow.f64 t 2) (pow.f64 (cos.f64 y) 3)) (sqrt.f64 (pow.f64 x 3)))) (+.f64 (.f64 16/9 (.f64 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 (sin.f64 y) 2))) (sqrt.f64 (pow.f64 x 3)))) (.f64 2 (.f64 (.f64 (cos.f64 y) (+.f64 (.f64 -4/9 (.f64 (pow.f64 t 2) (.f64 (pow.f64 (cos.f64 y) 2) x))) (.f64 4/9 (.f64 (pow.f64 t 2) (.f64 (pow.f64 (sin.f64 y) 2) x))))) (sqrt.f64 x))))) (pow.f64 z 2)) (.f64 (+.f64 (.f64 8/3 (.f64 (.f64 t (.f64 (pow.f64 (cos.f64 y) 2) (sin.f64 y))) (sqrt.f64 (pow.f64 x 3)))) (.f64 16/3 (.f64 (.f64 t (.f64 (pow.f64 (cos.f64 y) 2) (sin.f64 y))) (sqrt.f64 (pow.f64 x 3))))) z)))
(+.f64 (.f64 8 (.f64 (pow.f64 (cos.f64 y) 3) (sqrt.f64 (pow.f64 x 3)))) (+.f64 (.f64 (+.f64 (.f64 -4/9 (.f64 (.f64 (pow.f64 t 2) (pow.f64 (cos.f64 y) 3)) (sqrt.f64 (pow.f64 x 3)))) (+.f64 (.f64 16/9 (.f64 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 (sin.f64 y) 2))) (sqrt.f64 (pow.f64 x 3)))) (.f64 2 (.f64 (.f64 (cos.f64 y) (+.f64 (.f64 -4/9 (.f64 (pow.f64 t 2) (.f64 (pow.f64 (cos.f64 y) 2) x))) (.f64 4/9 (.f64 (pow.f64 t 2) (.f64 (pow.f64 (sin.f64 y) 2) x))))) (sqrt.f64 x))))) (pow.f64 z 2)) (+.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 (+.f64 (.f64 -4/9 (.f64 (pow.f64 t 2) (.f64 (pow.f64 (cos.f64 y) 2) x))) (.f64 4/9 (.f64 (pow.f64 t 2) (.f64 (pow.f64 (sin.f64 y) 2) x)))) (sin.f64 y))) (sqrt.f64 x))) (+.f64 (.f64 -4/81 (.f64 (.f64 (pow.f64 t 3) (.f64 (pow.f64 (cos.f64 y) 2) (sin.f64 y))) (sqrt.f64 (pow.f64 x 3)))) (+.f64 (.f64 2 (.f64 (.f64 (+.f64 (.f64 -4/27 (.f64 (pow.f64 t 3) (.f64 (cos.f64 y) (.f64 (sin.f64 y) x)))) (.f64 -4/81 (.f64 (pow.f64 t 3) (.f64 (cos.f64 y) (.f64 (sin.f64 y) x))))) (cos.f64 y)) (sqrt.f64 x))) (.f64 -8/27 (.f64 (.f64 (pow.f64 t 3) (.f64 (pow.f64 (cos.f64 y) 2) (sin.f64 y))) (sqrt.f64 (pow.f64 x 3))))))) (pow.f64 z 3)) (.f64 (+.f64 (.f64 8/3 (.f64 (.f64 t (.f64 (pow.f64 (cos.f64 y) 2) (sin.f64 y))) (sqrt.f64 (pow.f64 x 3)))) (.f64 16/3 (.f64 (.f64 t (.f64 (pow.f64 (cos.f64 y) 2) (sin.f64 y))) (sqrt.f64 (pow.f64 x 3))))) z))))
(.f64 8 (.f64 (pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 3) (sqrt.f64 (pow.f64 x 3))))
(.f64 8 (.f64 (pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 3) (sqrt.f64 (pow.f64 x 3))))
(.f64 8 (.f64 (pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 3) (sqrt.f64 (pow.f64 x 3))))
(.f64 8 (.f64 (pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 3) (sqrt.f64 (pow.f64 x 3))))
(.f64 8 (.f64 (pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 3) (sqrt.f64 (pow.f64 x 3))))
(.f64 8 (.f64 (pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 3) (sqrt.f64 (pow.f64 x 3))))
(.f64 8 (.f64 (pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 3) (sqrt.f64 (pow.f64 x 3))))
(.f64 8 (.f64 (pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 3) (sqrt.f64 (pow.f64 x 3))))
(.f64 8 (.f64 (pow.f64 (cos.f64 y) 3) (sqrt.f64 (pow.f64 x 3))))
(+.f64 (.f64 (+.f64 (.f64 8/3 (.f64 (.f64 z (.f64 (pow.f64 (cos.f64 y) 2) (sin.f64 y))) (sqrt.f64 (pow.f64 x 3)))) (.f64 2 (.f64 (.f64 (+.f64 (.f64 4/3 (.f64 (cos.f64 y) (.f64 z (.f64 (sin.f64 y) x)))) (.f64 4/3 (.f64 z (.f64 (cos.f64 y) (.f64 (sin.f64 y) x))))) (cos.f64 y)) (sqrt.f64 x)))) t) (.f64 8 (.f64 (pow.f64 (cos.f64 y) 3) (sqrt.f64 (pow.f64 x 3)))))
(+.f64 (.f64 (+.f64 (.f64 8/3 (.f64 (.f64 z (.f64 (pow.f64 (cos.f64 y) 2) (sin.f64 y))) (sqrt.f64 (pow.f64 x 3)))) (.f64 2 (.f64 (.f64 (+.f64 (.f64 4/3 (.f64 (cos.f64 y) (.f64 z (.f64 (sin.f64 y) x)))) (.f64 4/3 (.f64 z (.f64 (cos.f64 y) (.f64 (sin.f64 y) x))))) (cos.f64 y)) (sqrt.f64 x)))) t) (+.f64 (.f64 8 (.f64 (pow.f64 (cos.f64 y) 3) (sqrt.f64 (pow.f64 x 3)))) (.f64 (+.f64 (.f64 2 (.f64 (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) x))) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 z 2) x))) (.f64 4/9 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (sin.f64 y) 2) x))))) (cos.f64 y)) (sqrt.f64 x))) (+.f64 (.f64 -4/9 (.f64 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 3)) (sqrt.f64 (pow.f64 x 3)))) (.f64 2/3 (.f64 (.f64 (+.f64 (.f64 4/3 (.f64 (cos.f64 y) (.f64 z (.f64 (sin.f64 y) x)))) (.f64 4/3 (.f64 z (.f64 (cos.f64 y) (.f64 (sin.f64 y) x))))) (.f64 z (sin.f64 y))) (sqrt.f64 x))))) (pow.f64 t 2))))
(+.f64 (.f64 (+.f64 (.f64 8/3 (.f64 (.f64 z (.f64 (pow.f64 (cos.f64 y) 2) (sin.f64 y))) (sqrt.f64 (pow.f64 x 3)))) (.f64 2 (.f64 (.f64 (+.f64 (.f64 4/3 (.f64 (cos.f64 y) (.f64 z (.f64 (sin.f64 y) x)))) (.f64 4/3 (.f64 z (.f64 (cos.f64 y) (.f64 (sin.f64 y) x))))) (cos.f64 y)) (sqrt.f64 x)))) t) (+.f64 (.f64 8 (.f64 (pow.f64 (cos.f64 y) 3) (sqrt.f64 (pow.f64 x 3)))) (+.f64 (.f64 (+.f64 (.f64 2 (.f64 (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) x))) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 z 2) x))) (.f64 4/9 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (sin.f64 y) 2) x))))) (cos.f64 y)) (sqrt.f64 x))) (+.f64 (.f64 -4/9 (.f64 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 3)) (sqrt.f64 (pow.f64 x 3)))) (.f64 2/3 (.f64 (.f64 (+.f64 (.f64 4/3 (.f64 (cos.f64 y) (.f64 z (.f64 (sin.f64 y) x)))) (.f64 4/3 (.f64 z (.f64 (cos.f64 y) (.f64 (sin.f64 y) x))))) (.f64 z (sin.f64 y))) (sqrt.f64 x))))) (pow.f64 t 2)) (.f64 (pow.f64 t 3) (+.f64 (.f64 2 (.f64 (.f64 (cos.f64 y) (+.f64 (.f64 -2/81 (.f64 (cos.f64 y) (.f64 (pow.f64 z 3) (.f64 (sin.f64 y) x)))) (+.f64 (.f64 -2/81 (.f64 (pow.f64 z 3) (.f64 (cos.f64 y) (.f64 (sin.f64 y) x)))) (.f64 -4/27 (.f64 (pow.f64 z 3) (.f64 (cos.f64 y) (.f64 (sin.f64 y) x))))))) (sqrt.f64 x))) (+.f64 (.f64 2/3 (.f64 (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) x))) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 z 2) x))) (.f64 4/9 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (sin.f64 y) 2) x))))) (.f64 z (sin.f64 y))) (sqrt.f64 x))) (+.f64 (.f64 -1/9 (.f64 (.f64 (+.f64 (.f64 4/3 (.f64 (cos.f64 y) (.f64 z (.f64 (sin.f64 y) x)))) (.f64 4/3 (.f64 z (.f64 (cos.f64 y) (.f64 (sin.f64 y) x))))) (.f64 (cos.f64 y) (pow.f64 z 2))) (sqrt.f64 x))) (.f64 -4/81 (.f64 (.f64 (pow.f64 z 3) (*.f64 (pow.f64 (cos.f64 y) 2) (sin.f64 y))) (sqrt.f64 (pow.f64 x 3)))))))))))
(.f64 8 (.f64 (pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 3) (sqrt.f64 (pow.f64 x 3))))
(.f64 8 (.f64 (pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 3) (sqrt.f64 (pow.f64 x 3))))
(.f64 8 (.f64 (pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 3) (sqrt.f64 (pow.f64 x 3))))
(.f64 8 (.f64 (pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 3) (sqrt.f64 (pow.f64 x 3))))
(.f64 8 (.f64 (pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 3) (sqrt.f64 (pow.f64 x 3))))
(.f64 8 (.f64 (pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 3) (sqrt.f64 (pow.f64 x 3))))
(.f64 8 (.f64 (pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 3) (sqrt.f64 (pow.f64 x 3))))
(.f64 8 (.f64 (pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 3) (sqrt.f64 (pow.f64 x 3))))
(.f64 8 (.f64 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 3) (sqrt.f64 (pow.f64 x 3))))
(+.f64 (.f64 8 (.f64 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 3) (sqrt.f64 (pow.f64 x 3)))) (.f64 (+.f64 (.f64 -8 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2) (sin.f64 (.f64 -1/3 (.f64 t z)))) (sqrt.f64 (pow.f64 x 3)))) (.f64 -16 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2) (sin.f64 (.f64 -1/3 (*.f64 t z)))) (sqrt.f64 (pow.f64 x 3))))) y))
(+.f64 (.f64 8 (.f64 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 3) (sqrt.f64 (pow.f64 x 3)))) (+.f64 (.f64 (+.f64 (.f64 -8 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2) (sin.f64 (.f64 -1/3 (.f64 t z)))) (sqrt.f64 (pow.f64 x 3)))) (.f64 -16 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2) (sin.f64 (.f64 -1/3 (.f64 t z)))) (sqrt.f64 (pow.f64 x 3))))) y) (.f64 (+.f64 (.f64 -4 (.f64 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 3) (sqrt.f64 (pow.f64 x 3)))) (+.f64 (.f64 16 (.f64 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (pow.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) 2)) (sqrt.f64 (pow.f64 x 3)))) (.f64 2 (.f64 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (+.f64 (.f64 4 (.f64 (pow.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) 2) x)) (.f64 -4 (.f64 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2) x)))) (sqrt.f64 x))))) (pow.f64 y 2))))
(+.f64 (.f64 8 (.f64 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 3) (sqrt.f64 (pow.f64 x 3)))) (+.f64 (.f64 (+.f64 (.f64 -8 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2) (sin.f64 (.f64 -1/3 (.f64 t z)))) (sqrt.f64 (pow.f64 x 3)))) (.f64 -16 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2) (sin.f64 (.f64 -1/3 (.f64 t z)))) (sqrt.f64 (pow.f64 x 3))))) y) (+.f64 (.f64 (+.f64 (.f64 -4 (.f64 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 3) (sqrt.f64 (pow.f64 x 3)))) (+.f64 (.f64 16 (.f64 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (pow.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) 2)) (sqrt.f64 (pow.f64 x 3)))) (.f64 2 (.f64 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (+.f64 (.f64 4 (.f64 (pow.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) 2) x)) (.f64 -4 (.f64 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2) x)))) (sqrt.f64 x))))) (pow.f64 y 2)) (.f64 (pow.f64 y 3) (+.f64 (.f64 4/3 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2) (sin.f64 (.f64 -1/3 (.f64 t z)))) (sqrt.f64 (pow.f64 x 3)))) (+.f64 (.f64 -2 (.f64 (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) (+.f64 (.f64 4 (.f64 (pow.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) 2) x)) (.f64 -4 (.f64 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2) x)))) (sqrt.f64 x))) (+.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (+.f64 (.f64 4/3 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) x))) (.f64 4 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) x))))) (sqrt.f64 x))) (.f64 8 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2) (sin.f64 (.f64 -1/3 (*.f64 t z)))) (sqrt.f64 (pow.f64 x 3)))))))))))
(.f64 8 (.f64 (pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 3) (sqrt.f64 (pow.f64 x 3))))
(.f64 8 (.f64 (pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 3) (sqrt.f64 (pow.f64 x 3))))
(.f64 8 (.f64 (pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 3) (sqrt.f64 (pow.f64 x 3))))
(.f64 8 (.f64 (pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 3) (sqrt.f64 (pow.f64 x 3))))
(.f64 8 (.f64 (pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 3) (sqrt.f64 (pow.f64 x 3))))
(.f64 8 (.f64 (pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 3) (sqrt.f64 (pow.f64 x 3))))
(.f64 8 (.f64 (pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 3) (sqrt.f64 (pow.f64 x 3))))
(.f64 8 (.f64 (pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 3) (sqrt.f64 (pow.f64 x 3))))

Outputs
(cos.f64 y)
(+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (.f64 (.f64 1/3 t) (*.f64 z (sin.f64 y))))
(fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (cos.f64 y))
(fma.f64 1/3 (.f64 (sin.f64 y) (.f64 t z)) (cos.f64 y))
(+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))))
(fma.f64 -1/18 (.f64 (.f64 t t) (.f64 (cos.f64 y) (.f64 z z))) (+.f64 (cos.f64 y) (.f64 (.f64 1/3 t) (*.f64 z (sin.f64 y)))))
(fma.f64 -1/18 (.f64 (cos.f64 y) (.f64 (.f64 t t) (.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 t) (.f64 z z))) (fma.f64 1/3 (.f64 (sin.f64 y) (.f64 t z)) (cos.f64 y)))
(+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y)))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(fma.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (sin.f64 y) (pow.f64 z 3))) (fma.f64 -1/18 (.f64 (.f64 t t) (.f64 (cos.f64 y) (.f64 z z))) (+.f64 (cos.f64 y) (.f64 (.f64 1/3 t) (*.f64 z (sin.f64 y))))))
(fma.f64 -1/162 (.f64 (sin.f64 y) (.f64 (pow.f64 t 3) (pow.f64 z 3))) (fma.f64 -1/18 (.f64 (cos.f64 y) (.f64 (.f64 t t) (.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 t) (.f64 z 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))))))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 y)
(+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (.f64 (.f64 1/3 t) (*.f64 z (sin.f64 y))))
(fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (cos.f64 y))
(fma.f64 1/3 (.f64 (sin.f64 y) (.f64 t z)) (cos.f64 y))
(+.f64 (cos.f64 y) (+.f64 (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 -1/18 (.f64 (pow.f64 t 2) (.f64 (pow.f64 z 2) (cos.f64 y))))))
(fma.f64 -1/18 (.f64 (.f64 t t) (.f64 (cos.f64 y) (.f64 z z))) (+.f64 (cos.f64 y) (.f64 (.f64 1/3 t) (*.f64 z (sin.f64 y)))))
(fma.f64 -1/18 (.f64 (cos.f64 y) (.f64 (.f64 t t) (.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 t) (.f64 z z))) (fma.f64 1/3 (.f64 (sin.f64 y) (.f64 t z)) (cos.f64 y)))
(+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y)))) (+.f64 (cos.f64 y) (+.f64 (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 -1/18 (.f64 (pow.f64 t 2) (*.f64 (pow.f64 z 2) (cos.f64 y)))))))
(fma.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (sin.f64 y) (pow.f64 z 3))) (fma.f64 -1/18 (.f64 (.f64 t t) (.f64 (cos.f64 y) (.f64 z z))) (+.f64 (cos.f64 y) (.f64 (.f64 1/3 t) (*.f64 z (sin.f64 y))))))
(fma.f64 -1/162 (.f64 (sin.f64 y) (.f64 (pow.f64 t 3) (pow.f64 z 3))) (fma.f64 -1/18 (.f64 (cos.f64 y) (.f64 (.f64 t t) (.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 t) (.f64 z 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))))))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 (.f64 -1/3 t) z))
(cos.f64 (.f64 t (.f64 z -1/3)))
(+.f64 (.f64 -1 (.f64 y (sin.f64 (.f64 -1/3 (.f64 t z))))) (cos.f64 (.f64 -1/3 (.f64 t z))))
(fma.f64 -1 (.f64 y (sin.f64 (.f64 (.f64 -1/3 t) z))) (cos.f64 (.f64 (*.f64 -1/3 t) z)))
(-.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (.f64 y (sin.f64 (.f64 t (*.f64 z -1/3)))))
(+.f64 (.f64 -1 (.f64 y (sin.f64 (.f64 -1/3 (.f64 t z))))) (+.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (.f64 -1/2 (.f64 (pow.f64 y 2) (cos.f64 (.f64 -1/3 (.f64 t z)))))))
(+.f64 (fma.f64 -1 (.f64 y (sin.f64 (.f64 (.f64 -1/3 t) z))) (cos.f64 (.f64 (.f64 -1/3 t) z))) (.f64 -1/2 (.f64 (cos.f64 (.f64 (.f64 -1/3 t) z)) (.f64 y y))))
(-.f64 (.f64 (+.f64 (.f64 (.f64 -1/2 y) y) 1) (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 -1/3 t) z))) (cos.f64 (.f64 (.f64 -1/3 t) z))) (fma.f64 1/6 (.f64 (sin.f64 (.f64 (.f64 -1/3 t) z)) (pow.f64 y 3)) (.f64 -1/2 (.f64 (cos.f64 (.f64 (.f64 -1/3 t) z)) (*.f64 y y)))))
(+.f64 (-.f64 (.f64 (+.f64 (.f64 (.f64 -1/2 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 (.f64 (.f64 -1/2 y) y) 1) (cos.f64 (.f64 t (.f64 z -1/3)))) (-.f64 (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (.f64 1/6 (pow.f64 y 3))) (.f64 y (sin.f64 (.f64 t (.f64 z -1/3))))))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2))
(+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))))
(fma.f64 2/3 (.f64 t (.f64 (.f64 z (sin.f64 y)) (sqrt.f64 x))) (.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))))
(.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 (cos.f64 y) 2) (.f64 (.f64 (sin.f64 y) (*.f64 t z)) 2/3)))
(+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (.f64 (pow.f64 z 2) (cos.f64 y))) (sqrt.f64 x)))))
(fma.f64 2/3 (.f64 t (.f64 (.f64 z (sin.f64 y)) (sqrt.f64 x))) (fma.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 -1/9 (.f64 (.f64 t t) (.f64 (.f64 (cos.f64 y) (.f64 z z)) (sqrt.f64 x))))))
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(fma.f64 8 (.f64 (pow.f64 x 3/2) (pow.f64 (cos.f64 (.f64 t (.f64 z -1/3))) 3)) (.f64 y (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 t (.f64 z -1/3))) 2) (.f64 (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (pow.f64 x 3/2)) -24)) (.f64 (fma.f64 (.f64 (pow.f64 x 3/2) (pow.f64 (cos.f64 (.f64 t (.f64 z -1/3))) 3)) -4 (.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (+.f64 (.f64 (.f64 (pow.f64 x 3/2) (pow.f64 (sin.f64 (.f64 t (.f64 z -1/3))) 2)) 16) (.f64 (.f64 (sqrt.f64 x) (.f64 x (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 t (.f64 z -1/3))) 2) 4) (.f64 (pow.f64 (cos.f64 (.f64 t (*.f64 z -1/3))) 2) -4)))) 2)))) y))))
(+.f64 (.f64 8 (.f64 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 3) (sqrt.f64 (pow.f64 x 3)))) (+.f64 (.f64 (+.f64 (.f64 -8 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2) (sin.f64 (.f64 -1/3 (.f64 t z)))) (sqrt.f64 (pow.f64 x 3)))) (.f64 -16 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2) (sin.f64 (.f64 -1/3 (.f64 t z)))) (sqrt.f64 (pow.f64 x 3))))) y) (+.f64 (.f64 (+.f64 (.f64 -4 (.f64 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 3) (sqrt.f64 (pow.f64 x 3)))) (+.f64 (.f64 16 (.f64 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (pow.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) 2)) (sqrt.f64 (pow.f64 x 3)))) (.f64 2 (.f64 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (+.f64 (.f64 4 (.f64 (pow.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) 2) x)) (.f64 -4 (.f64 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2) x)))) (sqrt.f64 x))))) (pow.f64 y 2)) (.f64 (pow.f64 y 3) (+.f64 (.f64 4/3 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2) (sin.f64 (.f64 -1/3 (.f64 t z)))) (sqrt.f64 (pow.f64 x 3)))) (+.f64 (.f64 -2 (.f64 (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) (+.f64 (.f64 4 (.f64 (pow.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) 2) x)) (.f64 -4 (.f64 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2) x)))) (sqrt.f64 x))) (+.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (+.f64 (.f64 4/3 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) x))) (.f64 4 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) x))))) (sqrt.f64 x))) (.f64 8 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2) (sin.f64 (.f64 -1/3 (*.f64 t z)))) (sqrt.f64 (pow.f64 x 3)))))))))))
(fma.f64 8 (.f64 (sqrt.f64 (pow.f64 x 3)) (pow.f64 (cos.f64 (.f64 (.f64 -1/3 t) z)) 3)) (fma.f64 (.f64 (.f64 (sqrt.f64 (pow.f64 x 3)) (.f64 (sin.f64 (.f64 (.f64 -1/3 t) z)) (pow.f64 (cos.f64 (.f64 (.f64 -1/3 t) z)) 2))) -24) y (fma.f64 (fma.f64 -4 (.f64 (sqrt.f64 (pow.f64 x 3)) (pow.f64 (cos.f64 (.f64 (.f64 -1/3 t) z)) 3)) (fma.f64 16 (.f64 (cos.f64 (.f64 (.f64 -1/3 t) z)) (.f64 (pow.f64 (sin.f64 (.f64 (.f64 -1/3 t) z)) 2) (sqrt.f64 (pow.f64 x 3)))) (.f64 2 (.f64 (cos.f64 (.f64 (.f64 -1/3 t) z)) (.f64 (fma.f64 4 (.f64 x (pow.f64 (sin.f64 (.f64 (.f64 -1/3 t) z)) 2)) (.f64 -4 (.f64 x (pow.f64 (cos.f64 (.f64 (.f64 -1/3 t) z)) 2)))) (sqrt.f64 x)))))) (.f64 y y) (.f64 (pow.f64 y 3) (fma.f64 4/3 (.f64 (sqrt.f64 (pow.f64 x 3)) (.f64 (sin.f64 (.f64 (.f64 -1/3 t) z)) (pow.f64 (cos.f64 (.f64 (.f64 -1/3 t) z)) 2))) (fma.f64 -2 (.f64 (sin.f64 (.f64 (.f64 -1/3 t) z)) (.f64 (fma.f64 4 (.f64 x (pow.f64 (sin.f64 (.f64 (.f64 -1/3 t) z)) 2)) (.f64 -4 (.f64 x (pow.f64 (cos.f64 (.f64 (.f64 -1/3 t) z)) 2)))) (sqrt.f64 x))) (fma.f64 2 (.f64 (cos.f64 (.f64 (.f64 -1/3 t) z)) (.f64 (.f64 (.f64 (cos.f64 (.f64 (.f64 -1/3 t) z)) (.f64 (sin.f64 (.f64 (.f64 -1/3 t) z)) x)) 16/3) (sqrt.f64 x))) (.f64 (.f64 8 (.f64 (sin.f64 (.f64 (.f64 -1/3 t) z)) (pow.f64 (cos.f64 (.f64 (.f64 -1/3 t) z)) 2))) (sqrt.f64 (pow.f64 x 3))))))))))
(fma.f64 8 (.f64 (sqrt.f64 (pow.f64 x 3)) (pow.f64 (cos.f64 (.f64 t (.f64 z -1/3))) 3)) (fma.f64 y (.f64 (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (.f64 (pow.f64 (cos.f64 (.f64 t (.f64 z -1/3))) 2) (sqrt.f64 (pow.f64 x 3)))) -24) (fma.f64 (.f64 y y) (+.f64 (.f64 2 (.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (.f64 (sqrt.f64 x) (.f64 x (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 t (.f64 z -1/3))) 2) 4) (.f64 (pow.f64 (cos.f64 (.f64 t (.f64 z -1/3))) 2) -4)))))) (.f64 (sqrt.f64 (pow.f64 x 3)) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 t (.f64 z -1/3))) 3) -4) (.f64 16 (.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (pow.f64 (sin.f64 (.f64 t (.f64 z -1/3))) 2)))))) (.f64 (pow.f64 y 3) (fma.f64 4/3 (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (.f64 (pow.f64 (cos.f64 (.f64 t (.f64 z -1/3))) 2) (sqrt.f64 (pow.f64 x 3)))) (+.f64 (.f64 (sqrt.f64 (pow.f64 x 3)) (.f64 (.f64 8 (pow.f64 (cos.f64 (.f64 t (.f64 z -1/3))) 2)) (sin.f64 (.f64 t (.f64 z -1/3))))) (.f64 (sqrt.f64 x) (+.f64 (.f64 -2 (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (.f64 x (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 t (.f64 z -1/3))) 2) 4) (.f64 (pow.f64 (cos.f64 (.f64 t (.f64 z -1/3))) 2) -4))))) (.f64 2 (.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (.f64 (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) x) 16/3))))))))))))
(fma.f64 8 (.f64 (pow.f64 x 3/2) (pow.f64 (cos.f64 (.f64 t (.f64 z -1/3))) 3)) (fma.f64 y (.f64 (pow.f64 (cos.f64 (.f64 t (.f64 z -1/3))) 2) (.f64 (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (pow.f64 x 3/2)) -24)) (.f64 (.f64 y y) (+.f64 (fma.f64 (.f64 (pow.f64 x 3/2) (pow.f64 (cos.f64 (.f64 t (.f64 z -1/3))) 3)) -4 (.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (+.f64 (.f64 (.f64 (pow.f64 x 3/2) (pow.f64 (sin.f64 (.f64 t (.f64 z -1/3))) 2)) 16) (.f64 (.f64 (sqrt.f64 x) (.f64 x (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 t (.f64 z -1/3))) 2) 4) (.f64 (pow.f64 (cos.f64 (.f64 t (.f64 z -1/3))) 2) -4)))) 2)))) (.f64 (+.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 -2 (sin.f64 (.f64 t (.f64 z -1/3)))) (.f64 x (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 t (.f64 z -1/3))) 2) 4) (.f64 (pow.f64 (cos.f64 (.f64 t (.f64 z -1/3))) 2) -4)))) (.f64 2 (.f64 (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (.f64 x (cos.f64 (.f64 t (.f64 z -1/3))))) (.f64 (cos.f64 (.f64 t (.f64 z -1/3))) 16/3))))) (.f64 (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (.f64 (pow.f64 (cos.f64 (.f64 t (.f64 z -1/3))) 2) (pow.f64 x 3/2))) 28/3)) y)))))
(.f64 8 (.f64 (pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 3) (sqrt.f64 (pow.f64 x 3))))
(.f64 (.f64 8 (pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 3)) (sqrt.f64 (pow.f64 x 3)))
(.f64 8 (.f64 (sqrt.f64 (pow.f64 x 3)) (pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 3)))
(.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 t z) -1/3 y)) 3) (*.f64 (pow.f64 x 3/2) 8))
(.f64 8 (.f64 (pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 3) (sqrt.f64 (pow.f64 x 3))))
(.f64 (.f64 8 (pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 3)) (sqrt.f64 (pow.f64 x 3)))
(.f64 8 (.f64 (sqrt.f64 (pow.f64 x 3)) (pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 3)))
(.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 t z) -1/3 y)) 3) (*.f64 (pow.f64 x 3/2) 8))
(.f64 8 (.f64 (pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 3) (sqrt.f64 (pow.f64 x 3))))
(.f64 (.f64 8 (pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 3)) (sqrt.f64 (pow.f64 x 3)))
(.f64 8 (.f64 (sqrt.f64 (pow.f64 x 3)) (pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 3)))
(.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 t z) -1/3 y)) 3) (*.f64 (pow.f64 x 3/2) 8))
(.f64 8 (.f64 (pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 3) (sqrt.f64 (pow.f64 x 3))))
(.f64 (.f64 8 (pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 3)) (sqrt.f64 (pow.f64 x 3)))
(.f64 8 (.f64 (sqrt.f64 (pow.f64 x 3)) (pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 3)))
(.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 t z) -1/3 y)) 3) (*.f64 (pow.f64 x 3/2) 8))
(.f64 8 (.f64 (pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 3) (sqrt.f64 (pow.f64 x 3))))
(.f64 (.f64 8 (pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 3)) (sqrt.f64 (pow.f64 x 3)))
(.f64 8 (.f64 (sqrt.f64 (pow.f64 x 3)) (pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 3)))
(.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 t z) -1/3 y)) 3) (*.f64 (pow.f64 x 3/2) 8))
(.f64 8 (.f64 (pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 3) (sqrt.f64 (pow.f64 x 3))))
(.f64 (.f64 8 (pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 3)) (sqrt.f64 (pow.f64 x 3)))
(.f64 8 (.f64 (sqrt.f64 (pow.f64 x 3)) (pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 3)))
(.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 t z) -1/3 y)) 3) (*.f64 (pow.f64 x 3/2) 8))
(.f64 8 (.f64 (pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 3) (sqrt.f64 (pow.f64 x 3))))
(.f64 (.f64 8 (pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 3)) (sqrt.f64 (pow.f64 x 3)))
(.f64 8 (.f64 (sqrt.f64 (pow.f64 x 3)) (pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 3)))
(.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 t z) -1/3 y)) 3) (*.f64 (pow.f64 x 3/2) 8))
(.f64 8 (.f64 (pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 3) (sqrt.f64 (pow.f64 x 3))))
(.f64 (.f64 8 (pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 3)) (sqrt.f64 (pow.f64 x 3)))
(.f64 8 (.f64 (sqrt.f64 (pow.f64 x 3)) (pow.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) 3)))
(.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 t z) -1/3 y)) 3) (*.f64 (pow.f64 x 3/2) 8))

localize48.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(*.f64 a -1/3)
	0.4b	(*.f64 t -1/3)
✓	0.4b	(expm1.f64 (log1p.f64 (*.f64 t -1/3)))
✓	10.4b	(cos.f64 (fma.f64 z (expm1.f64 (log1p.f64 (*.f64 t -1/3))) y))

Compiler

Compiled 83 to 54 computations (34.9% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(cos.f64 (fma.f64 z (expm1.f64 (log1p.f64 (*.f64 t -1/3))) y))
0.0ms	y	@	0	(cos.f64 (fma.f64 z (expm1.f64 (log1p.f64 (*.f64 t -1/3))) y))
0.0ms	z	@	-inf	(cos.f64 (fma.f64 z (expm1.f64 (log1p.f64 (*.f64 t -1/3))) y))
0.0ms	t	@	inf	(cos.f64 (fma.f64 z (expm1.f64 (log1p.f64 (*.f64 t -1/3))) y))
0.0ms	z	@	inf	(cos.f64 (fma.f64 z (expm1.f64 (log1p.f64 (*.f64 t -1/3))) y))

rewrite67.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

823×	`pow1_binary64`
756×	`add-log-exp_binary64`
756×	`expm1-log1p-u_binary64`
755×	`log1p-expm1-u_binary64`
739×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	178	14
2	2021	14

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

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

Outputs

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

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

simplify82.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

89 → 60

Calls

Call 1

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

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

eval739.0ms (2.8%)

Compiler: Compiled 24485 to 15783 computations (35.5% saved)

prune503.0ms (1.9%)

Pruning

84 alts after pruning (82 fresh and 2 done)

	Pruned	Kept	Total
New	763	64	827
Fresh	23	18	41
Picked	0	1	1
Done	3	1	4
Total	789	84	873

Error

14.3b

Counts

873 → 84

Alt Table

Click to see full alt table

Status	Error	Program
▶	36.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (sqrt.f64 (pow.f64 (*.f64 a (/.f64 1/3 b)) 2)))
	20.2b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 (.f64 -1/3 (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t)) y))) (/.f64 (.f64 a -1/3) b))
	27.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (expm1.f64 (cos.f64 (.f64 t (.f64 z 1/3)))))) (/.f64 a (*.f64 b 3)))
	43.4b	(-.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 (pow.f64 (exp.f64 1) (log.f64 (.f64 t (.f64 z 1/3)))))))) (/.f64 a (*.f64 b 3)))
	20.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 z 3) t)))) (/.f64 a (.f64 b 3)))
	26.8b	(-.f64 (expm1.f64 (log1p.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x))))) (/.f64 a (.f64 b 3)))
	52.0b	(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))
▶	28.2b	(/.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)))))
	27.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 t (.f64 z 1/3)))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 t (.f64 z 1/3)))))))) (/.f64 a (*.f64 b 3)))
	21.4b	(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2))) (/.f64 a (*.f64 b 3)))
	27.8b	(-.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)))
	27.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 (.f64 t (.f64 z 1/3))) 3))) (/.f64 a (*.f64 b 3)))
	24.6b	(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
	17.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1 b) (/.f64 a 3)))
	33.6b	(-.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (.f64 2 (sqrt.f64 x))))) 3)) (/.f64 a (.f64 b 3)))
	43.4b	(-.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 (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 t (.f64 z 1/3)))) 1/3)))))) (/.f64 a (*.f64 b 3)))
	39.4b	(-.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)))
▶	17.2b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)) (/.f64 (.f64 a -1/3) b))
	32.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 t (.f64 z 1/3))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 t (.f64 z 1/3))))) (sin.f64 1)))) (/.f64 a (*.f64 b 3)))
	36.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (exp.f64 (log.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
	24.8b	(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2))) (/.f64 a (.f64 b 3)))
	20.3b	(-.f64 (.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (cbrt.f64 (.f64 x 4))) (cbrt.f64 (.f64 2 (sqrt.f64 x)))) (/.f64 a (.f64 b 3)))
	29.0b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 t (sin.f64 y)) (.f64 z 2/3)) (.f64 (cos.f64 y) (+.f64 (.f64 -1/9 (.f64 t (.f64 z (.f64 t z)))) 2)))) (/.f64 a (.f64 b 3)))
	25.4b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 (cbrt.f64 (.f64 (.f64 t t) 1/9)) (cbrt.f64 (.f64 t -1/3))) y))) (/.f64 (.f64 a -1/3) b))
	27.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (.f64 t (.f64 z 1/3)))))) (/.f64 a (*.f64 b 3)))
	27.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (.f64 z 1/3)))) (/.f64 a (*.f64 b 3)))
	34.1b	(-.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x))) 3/2) 2/3) (/.f64 a (.f64 b 3)))
	17.5b	(-.f64 (pow.f64 (cbrt.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))) 3) (/.f64 a (*.f64 b 3)))
▶	36.3b	(*.f64 -1/3 (/.f64 a b))
	17.4b	(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))))
	33.6b	(-.f64 (exp.f64 (log.f64 (.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (.f64 2 (sqrt.f64 x))))) (/.f64 a (*.f64 b 3)))
	30.9b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) (.f64 2 (sqrt.f64 x))) 3)) (/.f64 a (.f64 b 3)))
	30.3b	(-.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) 1) (/.f64 a (*.f64 b 3)))
	27.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z)))) (/.f64 a (*.f64 b 3)))
	33.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 -1 (+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 (.f64 t (.f64 z 1/3)))) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 (.f64 t (.f64 z 1/3)))) y))))) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))) (/.f64 a (.f64 b 3)))
	24.9b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2))) 3/2) (/.f64 a (.f64 b 3)))
	23.6b	(-.f64 (+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))) (/.f64 a (*.f64 b 3)))
	28.3b	(/.f64 1 (/.f64 (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b))) (-.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2)) (/.f64 (pow.f64 (/.f64 a b) 2) 9))))
	41.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (+.f64 (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 t)))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 t)))))))) (/.f64 a (.f64 b 3)))
	38.6b	(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))
	23.2b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x))) 3)) (/.f64 a (*.f64 b 3)))
	38.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/3 t))) 3))))) (/.f64 a (.f64 b 3)))
	27.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 t (.f64 z 1/3)))) 3)) (/.f64 a (*.f64 b 3)))
	33.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 -1 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 (.f64 t (.f64 z 1/3)))) y)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 (.f64 t (.f64 z 1/3)))) y))))) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))) (/.f64 a (.f64 b 3)))
	35.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 -1 (.f64 -1/3 (.f64 t (.f64 z y)))) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))) (/.f64 a (*.f64 b 3)))
	31.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 -1 (+.f64 0 (.f64 (sin.f64 (.f64 t (.f64 z 1/3))) y))) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))) (/.f64 a (*.f64 b 3)))
	38.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 1/3 t))) 1/3))))) (/.f64 a (*.f64 b 3)))
▶	25.6b	(-.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)))
	17.3b	(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))))
	19.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
	39.6b	(sqrt.f64 (pow.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 2))
	20.0b	(-.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)))
	38.6b	(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))
	38.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (exp.f64 (log.f64 (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
	27.9b	(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 (.f64 t (.f64 z 1/3))) 2))) (/.f64 a (*.f64 b 3)))
	28.8b	(-.f64 (exp.f64 (log.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) (/.f64 a (*.f64 b 3)))
	23.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))))) (/.f64 a (.f64 b 3)))
	20.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (/.f64 (/.f64 3 z) t) -1)))) (/.f64 a (*.f64 b 3)))
	17.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1/3 b) a))
	27.8b	(-.f64 (cbrt.f64 (.f64 8 (+.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3/2)) (.f64 z (.f64 t (.f64 (sin.f64 y) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 3/2)))))))) (/.f64 a (*.f64 b 3)))
	35.9b	(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 a (*.f64 b 3)))
	20.4b	(-.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)))
	37.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (pow.f64 (sqrt.f64 (*.f64 a (/.f64 1/3 b))) 2))
	34.1b	(-.f64 (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x))))) 1/3)) (/.f64 a (.f64 b 3)))
	19.6b	(-.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)))
✓	34.8b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (expm1.f64 (log1p.f64 (.f64 t -1/3))) y))) (/.f64 (*.f64 a -1/3) b))
	25.7b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (/.f64 (-.f64 (.f64 (+.f64 (.f64 t -1/3) 1) (+.f64 (.f64 t -1/3) 1)) 1) (+.f64 (+.f64 (.f64 t -1/3) 1) 1)) y))) (/.f64 (.f64 a -1/3) b))
	28.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (expm1.f64 (log1p.f64 (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
✓	27.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 1/3 t)))) (/.f64 a (*.f64 b 3)))
	20.2b	(-.f64 (.f64 (.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2) (pow.f64 x 1/4)) (pow.f64 x 1/4)) (/.f64 a (*.f64 b 3)))
	32.3b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (.f64 2 (sqrt.f64 x))) 3)) (/.f64 a (*.f64 b 3)))
	27.8b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (.f64 2 (sqrt.f64 x)))) 3) (/.f64 a (*.f64 b 3)))
	37.4b	(-.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 (cbrt.f64 (pow.f64 (.f64 t (.f64 z 1/3)) 3)))))) (/.f64 a (*.f64 b 3)))
	20.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 z (/.f64 1 (/.f64 3 t)))))) (/.f64 a (.f64 b 3)))
	19.6b	(-.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)))
	26.0b	(-.f64 (cbrt.f64 (pow.f64 (.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))) (.f64 2 (sqrt.f64 x))) 3)) (/.f64 a (*.f64 b 3)))
	36.2b	(-.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)))
	52.4b	(-.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 (-.f64 0 (pow.f64 (.f64 t (.f64 z 1/3)) 3)) (+.f64 0 (fma.f64 (pow.f64 (.f64 t z) 2) 1/9 (.f64 0 (.f64 t (.f64 z 1/3)))))))))) (/.f64 a (*.f64 b 3)))
	19.7b	(-.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)))
	21.2b	(-.f64 (.f64 (.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2) (cbrt.f64 x)) (pow.f64 x 1/6)) (/.f64 a (*.f64 b 3)))
	19.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 (sin.f64 (.f64 z (.f64 t 1/3))) (sin.f64 y) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))))) (/.f64 a (.f64 b 3)))
	20.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 a b) 1/3))
	47.6b	(pow.f64 (pow.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 3) 1/3)
	36.2b	(-.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (.f64 2 (sqrt.f64 x))) 3) 1/3) (/.f64 a (*.f64 b 3)))

Compiler

Compiled 4874 to 3805 computations (21.9% saved)

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 40 to 23 computations (42.5% saved)

series10.0ms (0%)

Counts

1 → 37

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	y	@	-inf	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)) (/.f64 (.f64 a -1/3) b))
1.0ms	y	@	inf	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)) (/.f64 (.f64 a -1/3) b))
1.0ms	x	@	-inf	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)) (/.f64 (.f64 a -1/3) b))
1.0ms	x	@	0	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)) (/.f64 (.f64 a -1/3) b))
1.0ms	a	@	0	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)) (/.f64 (.f64 a -1/3) b))

rewrite70.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

636×	`log-prod_binary64`
387×	`prod-diff_binary64`
359×	`pow-prod-down_binary64`
338×	`pow2_binary64`
236×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	18
1	266	18
2	3229	18

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

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

Outputs

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

simplify82.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

762×	`fma-def_binary64`
437×	`*-commutative_binary64`
433×	`distribute-rgt-neg-in_binary64`
407×	`distribute-lft-neg-in_binary64`
368×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	34	653
1	86	646
2	235	628
3	773	622
4	3268	622
5	7493	622

Stop Event

1×	node limit

Counts

67 → 44

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)))

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

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 10 computations (41.2% saved)

series6.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite56.0ms (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))))))))

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

20 → 20

Calls

Call 1

Inputs

Outputs

localize33.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (*.f64 a (/.f64 1/3 b)) 2)
✓	0.3b	(*.f64 a (/.f64 1/3 b))
✓	0.4b	(/.f64 1/3 b)
✓	21.7b	(sqrt.f64 (pow.f64 (*.f64 a (/.f64 1/3 b)) 2))

Compiler

Compiled 66 to 41 computations (37.9% saved)

series8.0ms (0%)

Counts

4 → 72

Calls

21 calls:

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

rewrite94.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

775×	`pow1_binary64`
723×	`add-log-exp_binary64`
723×	`log1p-expm1-u_binary64`
723×	`expm1-log1p-u_binary64`
706×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	195	28
2	2056	28

Stop Event

1×	node limit

Counts

4 → 116

Calls

Call 1

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

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

simplify156.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

773×	`associate-/l*_binary64`
482×	`sqr-pow_binary64`
480×	`associate-/r*_binary64`
378×	`associate-/l/_binary64`
366×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	648
1	31	648
2	62	648
3	178	648
4	867	648
5	5250	648
6	5992	648
7	6229	648
8	6441	648
9	6689	648
10	7024	648
11	7458	648

Stop Event

1×	node limit

Counts

188 → 98

Calls

Call 1

Inputs
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))

Outputs
(*.f64 1/3 (/.f64 a b))
(/.f64 (*.f64 1/3 a) b)
(*.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 1/3 (/.f64 a b))
(/.f64 (*.f64 1/3 a) b)
(*.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 1/3 (/.f64 a b))
(/.f64 (*.f64 1/3 a) b)
(*.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 1/3 (/.f64 a b))
(/.f64 (*.f64 1/3 a) b)
(*.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 -1/3 (/.f64 a b))
(/.f64 (*.f64 -1/3 a) b)
(/.f64 -1/3 (/.f64 b a))
(*.f64 (/.f64 a b) -1/3)
(*.f64 a (/.f64 -1/3 b))
(*.f64 -1/3 (/.f64 a b))
(/.f64 (*.f64 -1/3 a) b)
(/.f64 -1/3 (/.f64 b a))
(*.f64 (/.f64 a b) -1/3)
(*.f64 a (/.f64 -1/3 b))
(*.f64 -1/3 (/.f64 a b))
(/.f64 (*.f64 -1/3 a) b)
(/.f64 -1/3 (/.f64 b a))
(*.f64 (/.f64 a b) -1/3)
(*.f64 a (/.f64 -1/3 b))
(*.f64 -1/3 (/.f64 a b))
(/.f64 (*.f64 -1/3 a) b)
(/.f64 -1/3 (/.f64 b a))
(*.f64 (/.f64 a b) -1/3)
(*.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 1/3 (/.f64 a b))
(/.f64 (*.f64 1/3 a) b)
(*.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 1/3 (/.f64 a b))
(/.f64 (*.f64 1/3 a) b)
(*.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 1/3 (/.f64 a b))
(/.f64 (*.f64 1/3 a) b)
(*.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 1/3 (/.f64 a b))
(/.f64 (*.f64 1/3 a) b)
(*.f64 a (/.f64 1/3 b))
(*.f64 -1/3 (/.f64 a b))
(/.f64 (*.f64 -1/3 a) b)
(/.f64 -1/3 (/.f64 b a))
(*.f64 (/.f64 a b) -1/3)
(*.f64 a (/.f64 -1/3 b))
(*.f64 -1/3 (/.f64 a b))
(/.f64 (*.f64 -1/3 a) b)
(/.f64 -1/3 (/.f64 b a))
(*.f64 (/.f64 a b) -1/3)
(*.f64 a (/.f64 -1/3 b))
(*.f64 -1/3 (/.f64 a b))
(/.f64 (*.f64 -1/3 a) b)
(/.f64 -1/3 (/.f64 b a))
(*.f64 (/.f64 a b) -1/3)
(*.f64 a (/.f64 -1/3 b))
(*.f64 -1/3 (/.f64 a b))
(/.f64 (*.f64 -1/3 a) b)
(/.f64 -1/3 (/.f64 b a))
(*.f64 (/.f64 a b) -1/3)
(*.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 1/3 (/.f64 a b))
(/.f64 (*.f64 1/3 a) b)
(*.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 1/3 (/.f64 a b))
(/.f64 (*.f64 1/3 a) b)
(*.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 1/3 (/.f64 a b))
(/.f64 (*.f64 1/3 a) b)
(*.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 1/3 (/.f64 a b))
(/.f64 (*.f64 1/3 a) b)
(*.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 1/3 (/.f64 a b))
(/.f64 (*.f64 1/3 a) b)
(*.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 1/3 (/.f64 a b))
(/.f64 (*.f64 1/3 a) b)
(*.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 1/3 (/.f64 a b))
(/.f64 (*.f64 1/3 a) b)
(*.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 1/3 (/.f64 a b))
(/.f64 (*.f64 1/3 a) b)
(*.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 1/3 (/.f64 a b))
(/.f64 (*.f64 1/3 a) b)
(*.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 1/3 (/.f64 a b))
(/.f64 (*.f64 1/3 a) b)
(*.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 1/3 (/.f64 a b))
(/.f64 (*.f64 1/3 a) b)
(*.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 1/3 (/.f64 a b))
(/.f64 (*.f64 1/3 a) b)
(*.f64 a (/.f64 1/3 b))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(/.f64 (.f64 1/9 (.f64 a a)) (*.f64 b b))
(.f64 1/9 (.f64 (/.f64 a b) (/.f64 a b)))
(.f64 (/.f64 a b) (.f64 (/.f64 a b) 1/9))
(.f64 (/.f64 a b) (/.f64 (.f64 a 1/9) b))
(.f64 a (.f64 (/.f64 1/9 b) (/.f64 a b)))
(.f64 (.f64 a 1/9) (/.f64 a (*.f64 b b)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(/.f64 (.f64 1/9 (.f64 a a)) (*.f64 b b))
(.f64 1/9 (.f64 (/.f64 a b) (/.f64 a b)))
(.f64 (/.f64 a b) (.f64 (/.f64 a b) 1/9))
(.f64 (/.f64 a b) (/.f64 (.f64 a 1/9) b))
(.f64 a (.f64 (/.f64 1/9 b) (/.f64 a b)))
(.f64 (.f64 a 1/9) (/.f64 a (*.f64 b b)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(/.f64 (.f64 1/9 (.f64 a a)) (*.f64 b b))
(.f64 1/9 (.f64 (/.f64 a b) (/.f64 a b)))
(.f64 (/.f64 a b) (.f64 (/.f64 a b) 1/9))
(.f64 (/.f64 a b) (/.f64 (.f64 a 1/9) b))
(.f64 a (.f64 (/.f64 1/9 b) (/.f64 a b)))
(.f64 (.f64 a 1/9) (/.f64 a (*.f64 b b)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(/.f64 (.f64 1/9 (.f64 a a)) (*.f64 b b))
(.f64 1/9 (.f64 (/.f64 a b) (/.f64 a b)))
(.f64 (/.f64 a b) (.f64 (/.f64 a b) 1/9))
(.f64 (/.f64 a b) (/.f64 (.f64 a 1/9) b))
(.f64 a (.f64 (/.f64 1/9 b) (/.f64 a b)))
(.f64 (.f64 a 1/9) (/.f64 a (*.f64 b b)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(/.f64 (.f64 1/9 (.f64 a a)) (*.f64 b b))
(.f64 1/9 (.f64 (/.f64 a b) (/.f64 a b)))
(.f64 (/.f64 a b) (.f64 (/.f64 a b) 1/9))
(.f64 (/.f64 a b) (/.f64 (.f64 a 1/9) b))
(.f64 a (.f64 (/.f64 1/9 b) (/.f64 a b)))
(.f64 (.f64 a 1/9) (/.f64 a (*.f64 b b)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(/.f64 (.f64 1/9 (.f64 a a)) (*.f64 b b))
(.f64 1/9 (.f64 (/.f64 a b) (/.f64 a b)))
(.f64 (/.f64 a b) (.f64 (/.f64 a b) 1/9))
(.f64 (/.f64 a b) (/.f64 (.f64 a 1/9) b))
(.f64 a (.f64 (/.f64 1/9 b) (/.f64 a b)))
(.f64 (.f64 a 1/9) (/.f64 a (*.f64 b b)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(/.f64 (.f64 1/9 (.f64 a a)) (*.f64 b b))
(.f64 1/9 (.f64 (/.f64 a b) (/.f64 a b)))
(.f64 (/.f64 a b) (.f64 (/.f64 a b) 1/9))
(.f64 (/.f64 a b) (/.f64 (.f64 a 1/9) b))
(.f64 a (.f64 (/.f64 1/9 b) (/.f64 a b)))
(.f64 (.f64 a 1/9) (/.f64 a (*.f64 b b)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(/.f64 (.f64 1/9 (.f64 a a)) (*.f64 b b))
(.f64 1/9 (.f64 (/.f64 a b) (/.f64 a b)))
(.f64 (/.f64 a b) (.f64 (/.f64 a b) 1/9))
(.f64 (/.f64 a b) (/.f64 (.f64 a 1/9) b))
(.f64 a (.f64 (/.f64 1/9 b) (/.f64 a b)))
(.f64 (.f64 a 1/9) (/.f64 a (*.f64 b b)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(/.f64 (.f64 1/9 (.f64 a a)) (*.f64 b b))
(.f64 1/9 (.f64 (/.f64 a b) (/.f64 a b)))
(.f64 (/.f64 a b) (.f64 (/.f64 a b) 1/9))
(.f64 (/.f64 a b) (/.f64 (.f64 a 1/9) b))
(.f64 a (.f64 (/.f64 1/9 b) (/.f64 a b)))
(.f64 (.f64 a 1/9) (/.f64 a (*.f64 b b)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(/.f64 (.f64 1/9 (.f64 a a)) (*.f64 b b))
(.f64 1/9 (.f64 (/.f64 a b) (/.f64 a b)))
(.f64 (/.f64 a b) (.f64 (/.f64 a b) 1/9))
(.f64 (/.f64 a b) (/.f64 (.f64 a 1/9) b))
(.f64 a (.f64 (/.f64 1/9 b) (/.f64 a b)))
(.f64 (.f64 a 1/9) (/.f64 a (*.f64 b b)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(/.f64 (.f64 1/9 (.f64 a a)) (*.f64 b b))
(.f64 1/9 (.f64 (/.f64 a b) (/.f64 a b)))
(.f64 (/.f64 a b) (.f64 (/.f64 a b) 1/9))
(.f64 (/.f64 a b) (/.f64 (.f64 a 1/9) b))
(.f64 a (.f64 (/.f64 1/9 b) (/.f64 a b)))
(.f64 (.f64 a 1/9) (/.f64 a (*.f64 b b)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(/.f64 (.f64 1/9 (.f64 a a)) (*.f64 b b))
(.f64 1/9 (.f64 (/.f64 a b) (/.f64 a b)))
(.f64 (/.f64 a b) (.f64 (/.f64 a b) 1/9))
(.f64 (/.f64 a b) (/.f64 (.f64 a 1/9) b))
(.f64 a (.f64 (/.f64 1/9 b) (/.f64 a b)))
(.f64 (.f64 a 1/9) (/.f64 a (*.f64 b b)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(/.f64 (.f64 1/9 (.f64 a a)) (*.f64 b b))
(.f64 1/9 (.f64 (/.f64 a b) (/.f64 a b)))
(.f64 (/.f64 a b) (.f64 (/.f64 a b) 1/9))
(.f64 (/.f64 a b) (/.f64 (.f64 a 1/9) b))
(.f64 a (.f64 (/.f64 1/9 b) (/.f64 a b)))
(.f64 (.f64 a 1/9) (/.f64 a (*.f64 b b)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(/.f64 (.f64 1/9 (.f64 a a)) (*.f64 b b))
(.f64 1/9 (.f64 (/.f64 a b) (/.f64 a b)))
(.f64 (/.f64 a b) (.f64 (/.f64 a b) 1/9))
(.f64 (/.f64 a b) (/.f64 (.f64 a 1/9) b))
(.f64 a (.f64 (/.f64 1/9 b) (/.f64 a b)))
(.f64 (.f64 a 1/9) (/.f64 a (*.f64 b b)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(/.f64 (.f64 1/9 (.f64 a a)) (*.f64 b b))
(.f64 1/9 (.f64 (/.f64 a b) (/.f64 a b)))
(.f64 (/.f64 a b) (.f64 (/.f64 a b) 1/9))
(.f64 (/.f64 a b) (/.f64 (.f64 a 1/9) b))
(.f64 a (.f64 (/.f64 1/9 b) (/.f64 a b)))
(.f64 (.f64 a 1/9) (/.f64 a (*.f64 b b)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(/.f64 (.f64 1/9 (.f64 a a)) (*.f64 b b))
(.f64 1/9 (.f64 (/.f64 a b) (/.f64 a b)))
(.f64 (/.f64 a b) (.f64 (/.f64 a b) 1/9))
(.f64 (/.f64 a b) (/.f64 (.f64 a 1/9) b))
(.f64 a (.f64 (/.f64 1/9 b) (/.f64 a b)))
(.f64 (.f64 a 1/9) (/.f64 a (*.f64 b b)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(/.f64 (.f64 1/9 (.f64 a a)) (*.f64 b b))
(.f64 1/9 (.f64 (/.f64 a b) (/.f64 a b)))
(.f64 (/.f64 a b) (.f64 (/.f64 a b) 1/9))
(.f64 (/.f64 a b) (/.f64 (.f64 a 1/9) b))
(.f64 a (.f64 (/.f64 1/9 b) (/.f64 a b)))
(.f64 (.f64 a 1/9) (/.f64 a (*.f64 b b)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(/.f64 (.f64 1/9 (.f64 a a)) (*.f64 b b))
(.f64 1/9 (.f64 (/.f64 a b) (/.f64 a b)))
(.f64 (/.f64 a b) (.f64 (/.f64 a b) 1/9))
(.f64 (/.f64 a b) (/.f64 (.f64 a 1/9) b))
(.f64 a (.f64 (/.f64 1/9 b) (/.f64 a b)))
(.f64 (.f64 a 1/9) (/.f64 a (*.f64 b b)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(/.f64 (.f64 1/9 (.f64 a a)) (*.f64 b b))
(.f64 1/9 (.f64 (/.f64 a b) (/.f64 a b)))
(.f64 (/.f64 a b) (.f64 (/.f64 a b) 1/9))
(.f64 (/.f64 a b) (/.f64 (.f64 a 1/9) b))
(.f64 a (.f64 (/.f64 1/9 b) (/.f64 a b)))
(.f64 (.f64 a 1/9) (/.f64 a (*.f64 b b)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(/.f64 (.f64 1/9 (.f64 a a)) (*.f64 b b))
(.f64 1/9 (.f64 (/.f64 a b) (/.f64 a b)))
(.f64 (/.f64 a b) (.f64 (/.f64 a b) 1/9))
(.f64 (/.f64 a b) (/.f64 (.f64 a 1/9) b))
(.f64 a (.f64 (/.f64 1/9 b) (/.f64 a b)))
(.f64 (.f64 a 1/9) (/.f64 a (*.f64 b b)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(/.f64 (.f64 1/9 (.f64 a a)) (*.f64 b b))
(.f64 1/9 (.f64 (/.f64 a b) (/.f64 a b)))
(.f64 (/.f64 a b) (.f64 (/.f64 a b) 1/9))
(.f64 (/.f64 a b) (/.f64 (.f64 a 1/9) b))
(.f64 a (.f64 (/.f64 1/9 b) (/.f64 a b)))
(.f64 (.f64 a 1/9) (/.f64 a (*.f64 b b)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(/.f64 (.f64 1/9 (.f64 a a)) (*.f64 b b))
(.f64 1/9 (.f64 (/.f64 a b) (/.f64 a b)))
(.f64 (/.f64 a b) (.f64 (/.f64 a b) 1/9))
(.f64 (/.f64 a b) (/.f64 (.f64 a 1/9) b))
(.f64 a (.f64 (/.f64 1/9 b) (/.f64 a b)))
(.f64 (.f64 a 1/9) (/.f64 a (*.f64 b b)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(/.f64 (.f64 1/9 (.f64 a a)) (*.f64 b b))
(.f64 1/9 (.f64 (/.f64 a b) (/.f64 a b)))
(.f64 (/.f64 a b) (.f64 (/.f64 a b) 1/9))
(.f64 (/.f64 a b) (/.f64 (.f64 a 1/9) b))
(.f64 a (.f64 (/.f64 1/9 b) (/.f64 a b)))
(.f64 (.f64 a 1/9) (/.f64 a (*.f64 b b)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(/.f64 (.f64 1/9 (.f64 a a)) (*.f64 b b))
(.f64 1/9 (.f64 (/.f64 a b) (/.f64 a b)))
(.f64 (/.f64 a b) (.f64 (/.f64 a b) 1/9))
(.f64 (/.f64 a b) (/.f64 (.f64 a 1/9) b))
(.f64 a (.f64 (/.f64 1/9 b) (/.f64 a b)))
(.f64 (.f64 a 1/9) (/.f64 a (*.f64 b b)))

localize78.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(/.f64 a (*.f64 b 3))
✓	0.4b	(*.f64 t 1/3)
✓	22.4b	(sqrt.f64 (pow.f64 (.f64 z (.f64 t 1/3)) 2))
✓	25.7b	(cos.f64 (-.f64 y (sqrt.f64 (pow.f64 (.f64 z (.f64 t 1/3)) 2))))

Compiler

Compiled 111 to 74 computations (33.3% saved)

series9.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite118.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

934×	`prod-diff_binary64`
575×	`log-prod_binary64`
335×	`fma-def_binary64`
217×	`expm1-udef_binary64`
217×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	23
1	266	23
2	3208	21

Stop Event

1×	node limit

Counts

3 → 107

Calls

Call 1

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

Outputs

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simplify87.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

669×	`unswap-sqr_binary64`
528×	`distribute-lft-out_binary64`
414×	`distribute-rgt-neg-in_binary64`
368×	`neg-sub0_binary64`
356×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	66	857
1	198	798
2	573	761
3	2372	753
4	4944	753

Stop Event

1×	node limit

Counts

179 → 134

Calls

Call 1

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

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

localize50.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (*.f64 a (neg.f64 (/.f64 1/3 b))) 2)
✓	0.3b	(*.f64 a (neg.f64 (/.f64 1/3 b)))
	0.4b	(/.f64 1/3 b)
✓	10.6b	(/.f64 (-.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2)) (pow.f64 (.f64 a (neg.f64 (/.f64 1/3 b))) 2)) (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (neg.f64 (/.f64 1/3 b)))))

Compiler

Compiled 128 to 77 computations (39.8% saved)

series25.0ms (0.1%)

Counts

3 → 85

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(/.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)))))
3.0ms	y	@	inf	(/.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)))))
3.0ms	x	@	inf	(/.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)))))
3.0ms	y	@	0	(/.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)))))
2.0ms	x	@	0	(/.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)))))

rewrite95.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

364×	`expm1-udef_binary64`
364×	`log1p-udef_binary64`
251×	`add-sqr-sqrt_binary64`
244×	`pow1_binary64`
242×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	63
1	505	35
2	7248	35

Stop Event

1×	node limit

Counts

3 → 118

Calls

Call 1

Inputs

(/.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)))))

(*.f64 a (neg.f64 (/.f64 1/3 b)))

(pow.f64 (*.f64 a (neg.f64 (/.f64 1/3 b))) 2)

Outputs

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

simplify190.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

603×	`distribute-rgt-in_binary64`
503×	`fma-neg_binary64`
317×	`div-sub_binary64`
308×	`distribute-neg-frac_binary64`
290×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	79	2376
1	255	2163
2	826	2146
3	3927	2098

Stop Event

1×	node limit

Counts

203 → 135

Calls

Call 1

Inputs
(*.f64 -1/3 (/.f64 a b))
(/.f64 (-.f64 (.f64 4 x) (.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))) (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b))))
(-.f64 (+.f64 (.f64 4 (/.f64 x (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b))))) (.f64 (-.f64 (.f64 -4 (/.f64 x (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b))))) (.f64 -1 (.f64 (/.f64 (-.f64 (.f64 4 x) (.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))) (pow.f64 (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b))) 2)) (sqrt.f64 x)))) (pow.f64 y 2))) (.f64 1/9 (/.f64 (pow.f64 a 2) (.f64 (-.f64 (.f64 2 (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b))) (pow.f64 b 2)))))
(-.f64 (+.f64 (.f64 (pow.f64 y 4) (-.f64 (.f64 4/3 (/.f64 x (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b))))) (+.f64 (.f64 -1 (.f64 (/.f64 (-.f64 (.f64 -4 (/.f64 x (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b))))) (.f64 -1 (.f64 (/.f64 (-.f64 (.f64 4 x) (.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))) (pow.f64 (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b))) 2)) (sqrt.f64 x)))) (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))) (sqrt.f64 x))) (.f64 1/12 (.f64 (/.f64 (-.f64 (.f64 4 x) (.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))) (pow.f64 (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b))) 2)) (sqrt.f64 x)))))) (+.f64 (.f64 4 (/.f64 x (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b))))) (.f64 (-.f64 (.f64 -4 (/.f64 x (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b))))) (.f64 -1 (.f64 (/.f64 (-.f64 (.f64 4 x) (.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))) (pow.f64 (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b))) 2)) (sqrt.f64 x)))) (pow.f64 y 2)))) (.f64 1/9 (/.f64 (pow.f64 a 2) (.f64 (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b))) (pow.f64 b 2)))))
(-.f64 (+.f64 (.f64 (pow.f64 y 4) (-.f64 (.f64 4/3 (/.f64 x (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b))))) (+.f64 (.f64 -1 (.f64 (/.f64 (-.f64 (.f64 -4 (/.f64 x (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b))))) (.f64 -1 (.f64 (/.f64 (-.f64 (.f64 4 x) (.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))) (pow.f64 (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b))) 2)) (sqrt.f64 x)))) (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))) (sqrt.f64 x))) (.f64 1/12 (.f64 (/.f64 (-.f64 (.f64 4 x) (.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))) (pow.f64 (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b))) 2)) (sqrt.f64 x)))))) (+.f64 (.f64 4 (/.f64 x (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b))))) (+.f64 (.f64 (-.f64 (.f64 -4 (/.f64 x (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b))))) (.f64 -1 (.f64 (/.f64 (-.f64 (.f64 4 x) (.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))) (pow.f64 (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b))) 2)) (sqrt.f64 x)))) (pow.f64 y 2)) (.f64 (pow.f64 y 6) (-.f64 (.f64 -8/45 (/.f64 x (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b))))) (+.f64 (.f64 -1 (.f64 (/.f64 (-.f64 (.f64 4/3 (/.f64 x (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b))))) (+.f64 (.f64 -1 (.f64 (/.f64 (-.f64 (.f64 -4 (/.f64 x (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b))))) (.f64 -1 (.f64 (/.f64 (-.f64 (.f64 4 x) (.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))) (pow.f64 (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b))) 2)) (sqrt.f64 x)))) (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))) (sqrt.f64 x))) (.f64 1/12 (.f64 (/.f64 (-.f64 (.f64 4 x) (.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))) (pow.f64 (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b))) 2)) (sqrt.f64 x))))) (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))) (sqrt.f64 x))) (+.f64 (.f64 1/12 (.f64 (/.f64 (-.f64 (.f64 -4 (/.f64 x (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b))))) (.f64 -1 (.f64 (/.f64 (-.f64 (.f64 4 x) (.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))) (pow.f64 (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b))) 2)) (sqrt.f64 x)))) (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))) (sqrt.f64 x))) (.f64 -1/360 (.f64 (/.f64 (-.f64 (.f64 4 x) (.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))) (pow.f64 (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b))) 2)) (sqrt.f64 x)))))))))) (.f64 1/9 (/.f64 (pow.f64 a 2) (.f64 (-.f64 (.f64 2 (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b))) (pow.f64 b 2)))))
(/.f64 (-.f64 (.f64 4 (.f64 (pow.f64 (cos.f64 y) 2) x)) (.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))) (-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 -1/3 (/.f64 a b))))
(/.f64 (-.f64 (.f64 4 (.f64 (pow.f64 (cos.f64 y) 2) x)) (.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))) (-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 -1/3 (/.f64 a b))))
(/.f64 (-.f64 (.f64 4 (.f64 (pow.f64 (cos.f64 y) 2) x)) (.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))) (-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 -1/3 (/.f64 a b))))
(/.f64 (-.f64 (.f64 4 (.f64 (pow.f64 (cos.f64 y) 2) x)) (.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))) (-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 -1/3 (/.f64 a b))))
(/.f64 (-.f64 (.f64 4 (.f64 (pow.f64 (cos.f64 y) 2) x)) (.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))) (-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 -1/3 (/.f64 a b))))
(/.f64 (-.f64 (.f64 4 (.f64 (pow.f64 (cos.f64 y) 2) x)) (.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))) (-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 -1/3 (/.f64 a b))))
(/.f64 (-.f64 (.f64 4 (.f64 (pow.f64 (cos.f64 y) 2) x)) (.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))) (-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 -1/3 (/.f64 a b))))
(/.f64 (-.f64 (.f64 4 (.f64 (pow.f64 (cos.f64 y) 2) x)) (.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))) (-.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))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(*.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))

Outputs
(*.f64 -1/3 (/.f64 a b))
(/.f64 (*.f64 -1/3 a) b)
(/.f64 (-.f64 (.f64 4 x) (.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))) (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b))))
(/.f64 (-.f64 (.f64 4 x) (/.f64 (.f64 1/9 (.f64 a a)) (.f64 b b))) (+.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b))))
(/.f64 (fma.f64 4 x (.f64 (.f64 (/.f64 a b) (/.f64 a b)) -1/9)) (fma.f64 2 (sqrt.f64 x) (/.f64 (*.f64 1/3 a) b)))
(/.f64 (fma.f64 4 x (/.f64 -1/9 (.f64 (/.f64 b a) (/.f64 b a)))) (fma.f64 (/.f64 a b) 1/3 (.f64 2 (sqrt.f64 x))))
(/.f64 (fma.f64 4 x (.f64 (/.f64 a b) (.f64 (/.f64 a b) -1/9))) (fma.f64 2 (sqrt.f64 x) (*.f64 (/.f64 a b) 1/3)))
(-.f64 (+.f64 (.f64 4 (/.f64 x (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b))))) (.f64 (-.f64 (.f64 -4 (/.f64 x (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b))))) (.f64 -1 (.f64 (/.f64 (-.f64 (.f64 4 x) (.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))) (pow.f64 (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b))) 2)) (sqrt.f64 x)))) (pow.f64 y 2))) (.f64 1/9 (/.f64 (pow.f64 a 2) (.f64 (-.f64 (.f64 2 (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b))) (pow.f64 b 2)))))
(+.f64 (fma.f64 4 (/.f64 x (+.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))) (.f64 (-.f64 (.f64 (/.f64 x (+.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))) -4) (neg.f64 (/.f64 (.f64 (-.f64 (.f64 4 x) (/.f64 (.f64 1/9 (.f64 a a)) (.f64 b b))) (sqrt.f64 x)) (pow.f64 (+.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b))) 2)))) (.f64 y y))) (.f64 -1/9 (/.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))))))
(+.f64 (.f64 (fma.f64 (/.f64 x (fma.f64 2 (sqrt.f64 x) (/.f64 (.f64 1/3 a) b))) -4 (.f64 (sqrt.f64 x) (/.f64 (fma.f64 4 x (.f64 (.f64 (/.f64 a b) (/.f64 a b)) -1/9)) (pow.f64 (fma.f64 2 (sqrt.f64 x) (/.f64 (.f64 1/3 a) b)) 2)))) (.f64 y y)) (/.f64 (fma.f64 4 x (.f64 (.f64 (/.f64 a b) (/.f64 a b)) -1/9)) (fma.f64 2 (sqrt.f64 x) (/.f64 (.f64 1/3 a) b))))
(fma.f64 (fma.f64 (sqrt.f64 x) (/.f64 (fma.f64 4 x (/.f64 -1/9 (.f64 (/.f64 b a) (/.f64 b a)))) (pow.f64 (fma.f64 (/.f64 a b) 1/3 (.f64 2 (sqrt.f64 x))) 2)) (/.f64 -4 (/.f64 (fma.f64 (/.f64 a b) 1/3 (.f64 2 (sqrt.f64 x))) x))) (.f64 y y) (/.f64 (fma.f64 4 x (/.f64 -1/9 (.f64 (/.f64 b a) (/.f64 b a)))) (fma.f64 (/.f64 a b) 1/3 (.f64 2 (sqrt.f64 x)))))
(fma.f64 (fma.f64 (sqrt.f64 x) (/.f64 (fma.f64 4 x (.f64 (/.f64 a b) (.f64 (/.f64 a b) -1/9))) (pow.f64 (fma.f64 2 (sqrt.f64 x) (.f64 (/.f64 a b) 1/3)) 2)) (/.f64 -4 (/.f64 (fma.f64 2 (sqrt.f64 x) (.f64 (/.f64 a b) 1/3)) x))) (.f64 y y) (/.f64 (fma.f64 4 x (.f64 (/.f64 a b) (.f64 (/.f64 a b) -1/9))) (fma.f64 2 (sqrt.f64 x) (.f64 (/.f64 a b) 1/3))))
(-.f64 (+.f64 (.f64 (pow.f64 y 4) (-.f64 (.f64 4/3 (/.f64 x (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b))))) (+.f64 (.f64 -1 (.f64 (/.f64 (-.f64 (.f64 -4 (/.f64 x (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b))))) (.f64 -1 (.f64 (/.f64 (-.f64 (.f64 4 x) (.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))) (pow.f64 (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b))) 2)) (sqrt.f64 x)))) (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))) (sqrt.f64 x))) (.f64 1/12 (.f64 (/.f64 (-.f64 (.f64 4 x) (.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))) (pow.f64 (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b))) 2)) (sqrt.f64 x)))))) (+.f64 (.f64 4 (/.f64 x (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b))))) (.f64 (-.f64 (.f64 -4 (/.f64 x (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b))))) (.f64 -1 (.f64 (/.f64 (-.f64 (.f64 4 x) (.f64 1/9 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))) (pow.f64 (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b))) 2)) (sqrt.f64 x)))) (pow.f64 y 2)))) (.f64 1/9 (/.f64 (pow.f64 a 2) (.f64 (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b))) (pow.f64 b 2)))))
(+.f64 (fma.f64 (pow.f64 y 4) (-.f64 (.f64 (/.f64 x (+.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))) 4/3) (fma.f64 -1 (/.f64 (.f64 (-.f64 (.f64 (/.f64 x (+.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))) -4) (neg.f64 (/.f64 (.f64 (-.f64 (.f64 4 x) (/.f64 (.f64 1/9 (.f64 a a)) (.f64 b b))) (sqrt.f64 x)) (pow.f64 (+.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b))) 2)))) (sqrt.f64 x)) (+.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))) (.f64 (/.f64 (.f64 (-.f64 (.f64 4 x) (/.f64 (.f64 1/9 (.f64 a a)) (.f64 b b))) (sqrt.f64 x)) (pow.f64 (+.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b))) 2)) 1/12))) (fma.f64 4 (/.f64 x (+.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))) (.f64 (-.f64 (.f64 (/.f64 x (+.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))) -4) (neg.f64 (/.f64 (.f64 (-.f64 (.f64 4 x) (/.f64 (.f64 1/9 (.f64 a a)) (.f64 b b))) (sqrt.f64 x)) (pow.f64 (+.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b))) 2)))) (.f64 y y)))) (.f64 -1/9 (/.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))))))
(fma.f64 (pow.f64 y 4) (-.f64 (/.f64 4/3 (/.f64 (fma.f64 2 (sqrt.f64 x) (/.f64 (.f64 1/3 a) b)) x)) (.f64 (sqrt.f64 x) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 x (fma.f64 2 (sqrt.f64 x) (/.f64 (.f64 1/3 a) b))) -4 (.f64 (sqrt.f64 x) (/.f64 (fma.f64 4 x (.f64 (.f64 (/.f64 a b) (/.f64 a b)) -1/9)) (pow.f64 (fma.f64 2 (sqrt.f64 x) (/.f64 (.f64 1/3 a) b)) 2)))) (fma.f64 2 (sqrt.f64 x) (/.f64 (.f64 1/3 a) b)))) (.f64 (/.f64 (fma.f64 4 x (.f64 (.f64 (/.f64 a b) (/.f64 a b)) -1/9)) (pow.f64 (fma.f64 2 (sqrt.f64 x) (/.f64 (.f64 1/3 a) b)) 2)) 1/12)))) (+.f64 (.f64 (fma.f64 (/.f64 x (fma.f64 2 (sqrt.f64 x) (/.f64 (.f64 1/3 a) b))) -4 (.f64 (sqrt.f64 x) (/.f64 (fma.f64 4 x (.f64 (.f64 (/.f64 a b) (/.f64 a b)) -1/9)) (pow.f64 (fma.f64 2 (sqrt.f64 x) (/.f64 (.f64 1/3 a) b)) 2)))) (.f64 y y)) (/.f64 (fma.f64 4 x (.f64 (.f64 (/.f64 a b) (/.f64 a b)) -1/9)) (fma.f64 2 (sqrt.f64 x) (/.f64 (.f64 1/3 a) b)))))
(fma.f64 (pow.f64 y 4) (-.f64 (/.f64 x (/.f64 (fma.f64 (/.f64 a b) 1/3 (.f64 2 (sqrt.f64 x))) 4/3)) (.f64 (sqrt.f64 x) (-.f64 (.f64 (/.f64 (fma.f64 4 x (/.f64 -1/9 (.f64 (/.f64 b a) (/.f64 b a)))) (pow.f64 (fma.f64 (/.f64 a b) 1/3 (.f64 2 (sqrt.f64 x))) 2)) 1/12) (/.f64 (fma.f64 (sqrt.f64 x) (/.f64 (fma.f64 4 x (/.f64 -1/9 (.f64 (/.f64 b a) (/.f64 b a)))) (pow.f64 (fma.f64 (/.f64 a b) 1/3 (.f64 2 (sqrt.f64 x))) 2)) (/.f64 -4 (/.f64 (fma.f64 (/.f64 a b) 1/3 (.f64 2 (sqrt.f64 x))) x))) (fma.f64 (/.f64 a b) 1/3 (.f64 2 (sqrt.f64 x))))))) (fma.f64 (fma.f64 (sqrt.f64 x) (/.f64 (fma.f64 4 x (/.f64 -1/9 (.f64 (/.f64 b a) (/.f64 b a)))) (pow.f64 (fma.f64 (/.f64 a b) 1/3 (.f64 2 (sqrt.f64 x))) 2)) (/.f64 -4 (/.f64 (fma.f64 (/.f64 a b) 1/3 (.f64 2 (sqrt.f64 x))) x))) (.f64 y y) (/.f64 (fma.f64 4 x (/.f64 -1/9 (.f64 (/.f64 b a) (/.f64 b a)))) (fma.f64 (/.f64 a b) 1/3 (*.f64 2 (sqrt.f64 x))))))
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(/.f64 (.f64 1/9 (.f64 a a)) (*.f64 b b))
(.f64 1/9 (.f64 (/.f64 a b) (/.f64 a b)))
(*.f64 (/.f64 1/9 b) (/.f64 a (/.f64 b a)))

eval376.0ms (1.4%)

Compiler: Compiled 16232 to 9891 computations (39.1% saved)

prune395.0ms (1.5%)

Pruning

99 alts after pruning (96 fresh and 3 done)

	Pruned	Kept	Total
New	575	33	608
Fresh	14	63	77
Picked	1	0	1
Done	3	3	6
Total	593	99	692

Error

14.2b

Counts

692 → 99

Alt Table

Click to see full alt table

Status	Error	Program
	43.6b	(+.f64 (.f64 (cos.f64 y) (sqrt.f64 (.f64 x 4))) (+.f64 (.f64 a (/.f64 1/3 b)) (fma.f64 (/.f64 1/3 b) a (.f64 a (/.f64 1/3 b)))))
	20.2b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 (.f64 -1/3 (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t)) y))) (/.f64 (.f64 a -1/3) b))
	26.8b	(-.f64 (expm1.f64 (log1p.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x))))) (/.f64 a (.f64 b 3)))
	20.0b	(-.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)))
	27.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (expm1.f64 (cos.f64 (.f64 t (.f64 z 1/3)))))) (/.f64 a (*.f64 b 3)))
	43.4b	(-.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 (pow.f64 (exp.f64 1) (log.f64 (.f64 t (.f64 z 1/3)))))))) (/.f64 a (*.f64 b 3)))
	20.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 z 3) t)))) (/.f64 a (.f64 b 3)))
	52.0b	(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))
▶	17.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 (*.f64 a 1/3) b))
	27.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 t (.f64 z 1/3)))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 t (.f64 z 1/3)))))))) (/.f64 a (*.f64 b 3)))
	36.3b	(/.f64 (*.f64 -1/3 a) b)
	19.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (.f64 (exp.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))) (exp.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))))))) (/.f64 a (.f64 b 3)))
	21.4b	(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2))) (/.f64 a (*.f64 b 3)))
	54.5b	(-.f64 (exp.f64 (log1p.f64 (fma.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 a (/.f64 1/3 b))))) 1)
	25.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 z t) 2) 1/9)) (cbrt.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (.f64 b 3)))
	27.8b	(-.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)))
	27.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 (.f64 t (.f64 z 1/3))) 3))) (/.f64 a (*.f64 b 3)))
	36.4b	(/.f64 1 (/.f64 b (*.f64 -1/3 a)))
	24.6b	(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
	20.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (cos.f64 (fma.f64 -1/3 (.f64 z t) (.f64 z (.f64 t 1/3))))) (.f64 (sin.f64 (fma.f64 (.f64 z t) -1/3 y)) (sin.f64 (fma.f64 -1/3 (.f64 z t) (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
	23.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))))) (/.f64 a (.f64 b 3)))
	33.6b	(-.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (.f64 2 (sqrt.f64 x))))) 3)) (/.f64 a (.f64 b 3)))
	43.4b	(-.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 (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 t (.f64 z 1/3)))) 1/3)))))) (/.f64 a (*.f64 b 3)))
	39.4b	(-.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)))
	32.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 t (.f64 z 1/3))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 t (.f64 z 1/3))))) (sin.f64 1)))) (/.f64 a (*.f64 b 3)))
▶	36.4b	(/.f64 -1/3 (/.f64 b a))
	20.3b	(-.f64 (.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (cbrt.f64 (.f64 x 4))) (cbrt.f64 (.f64 2 (sqrt.f64 x)))) (/.f64 a (.f64 b 3)))
	25.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (cos.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 z (.f64 t 1/3)))) (cbrt.f64 (.f64 (pow.f64 (.f64 z t) 2) 1/9)) (.f64 z (.f64 t 1/3))))) (.f64 (sin.f64 (fma.f64 (.f64 z t) -1/3 y)) (sin.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 z (.f64 t 1/3)))) (cbrt.f64 (.f64 (pow.f64 (.f64 z t) 2) 1/9)) (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
	34.9b	(fabs.f64 (fma.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 a (/.f64 1/3 b))))
	19.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))) (cbrt.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))))) (cbrt.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))))) (/.f64 a (.f64 b 3)))
	24.8b	(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2))) (/.f64 a (.f64 b 3)))
▶	29.0b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 t (sin.f64 y)) (.f64 z 2/3)) (.f64 (cos.f64 y) (+.f64 (.f64 -1/9 (.f64 t (.f64 z (.f64 t z)))) 2)))) (/.f64 a (.f64 b 3)))
	35.6b	(/.f64 (fma.f64 4 x (.f64 (/.f64 a b) (.f64 (/.f64 a b) -1/9))) (fma.f64 2 (sqrt.f64 x) (*.f64 (/.f64 a b) 1/3)))
	27.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (.f64 t (.f64 z 1/3)))))) (/.f64 a (*.f64 b 3)))
	39.0b	(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 a b))) 1)
	27.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (.f64 z 1/3)))) (/.f64 a (*.f64 b 3)))
	20.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (.f64 t 1/3)))))) (/.f64 a (.f64 b 3)))
	19.6b	(-.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)))
	34.1b	(-.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x))) 3/2) 2/3) (/.f64 a (.f64 b 3)))
	17.5b	(-.f64 (pow.f64 (cbrt.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))) 3) (/.f64 a (*.f64 b 3)))
	17.4b	(fma.f64 (cbrt.f64 (.f64 x 4)) (.f64 (cbrt.f64 (.f64 2 (sqrt.f64 x))) (cos.f64 y)) (.f64 a (neg.f64 (/.f64 1/3 b))))
	20.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 z (.f64 t -1/3))))) (/.f64 a (*.f64 b 3)))
✓	36.3b	(*.f64 -1/3 (/.f64 a b))
	40.1b	(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 a (/.f64 1/3 b))) 2)) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 a (/.f64 1/3 b))) 2))))
	20.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (cos.f64 (+.f64 (.f64 (.f64 z t) -1/3) (.f64 z (.f64 t 1/3))))) (.f64 (sin.f64 (fma.f64 (.f64 z t) -1/3 y)) (sin.f64 (+.f64 (.f64 (.f64 z t) -1/3) (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
	33.6b	(-.f64 (exp.f64 (log.f64 (.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (.f64 2 (sqrt.f64 x))))) (/.f64 a (*.f64 b 3)))
	43.6b	(pow.f64 (/.f64 1 (fma.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 a (/.f64 1/3 b)))) -1)
	27.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z)))) (/.f64 a (*.f64 b 3)))
	30.9b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) (.f64 2 (sqrt.f64 x))) 3)) (/.f64 a (.f64 b 3)))
	30.3b	(-.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) 1) (/.f64 a (*.f64 b 3)))
	20.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (.f64 (.f64 t 1/3) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (/.f64 a (.f64 b 3)))
	24.9b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2))) 3/2) (/.f64 a (.f64 b 3)))
	23.6b	(-.f64 (+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))) (/.f64 a (*.f64 b 3)))
	28.3b	(/.f64 1 (/.f64 (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b))) (-.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2)) (/.f64 (pow.f64 (/.f64 a b) 2) 9))))
	23.2b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x))) 3)) (/.f64 a (*.f64 b 3)))
	38.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/3 t))) 3))))) (/.f64 a (.f64 b 3)))
	41.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (+.f64 (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 t)))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 t)))))))) (/.f64 a (.f64 b 3)))
	27.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 t (.f64 z 1/3)))) 3)) (/.f64 a (*.f64 b 3)))
	35.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 -1 (.f64 -1/3 (.f64 t (.f64 z y)))) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))) (/.f64 a (*.f64 b 3)))
	43.6b	(+.f64 (fma.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 a (/.f64 1/3 b))) (+.f64 (fma.f64 (/.f64 1/3 b) a (.f64 a (/.f64 1/3 b))) (fma.f64 (/.f64 1/3 b) a (.f64 a (/.f64 1/3 b)))))
	31.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 -1 (+.f64 0 (.f64 (sin.f64 (.f64 t (.f64 z 1/3))) y))) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))) (/.f64 a (*.f64 b 3)))
	36.8b	(pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 3)
	20.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (.f64 z (pow.f64 (cbrt.f64 (.f64 t 1/3)) 2)) (cbrt.f64 (.f64 t 1/3)))))) (/.f64 a (*.f64 b 3)))
	41.0b	(/.f64 (-.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2)) (.f64 (/.f64 1/9 (.f64 b b)) (.f64 a a))) (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (neg.f64 (/.f64 1/3 b)))))
	38.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 1/3 t))) 1/3))))) (/.f64 a (*.f64 b 3)))
	42.9b	(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
▶	19.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
	36.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (exp.f64 (log.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
	17.3b	(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))))
	20.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (/.f64 (-.f64 (.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3))))) (.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))))) (cos.f64 (fma.f64 z (.f64 t 1/3) y)))) (/.f64 a (.f64 b 3)))
	38.6b	(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))
	38.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (exp.f64 (log.f64 (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
	27.9b	(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 (.f64 t (.f64 z 1/3))) 2))) (/.f64 a (*.f64 b 3)))
	28.8b	(-.f64 (exp.f64 (log.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) (/.f64 a (*.f64 b 3)))
	20.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (/.f64 (/.f64 3 z) t) -1)))) (/.f64 a (*.f64 b 3)))
	27.8b	(-.f64 (cbrt.f64 (.f64 8 (+.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3/2)) (.f64 z (.f64 t (.f64 (sin.f64 y) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 3/2)))))))) (/.f64 a (*.f64 b 3)))
	35.9b	(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 a (*.f64 b 3)))
	20.4b	(-.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)))
	37.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (pow.f64 (sqrt.f64 (*.f64 a (/.f64 1/3 b))) 2))
	34.1b	(-.f64 (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x))))) 1/3)) (/.f64 a (.f64 b 3)))
✓	34.8b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (expm1.f64 (log1p.f64 (.f64 t -1/3))) y))) (/.f64 (*.f64 a -1/3) b))
	25.7b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (/.f64 (-.f64 (.f64 (+.f64 (.f64 t -1/3) 1) (+.f64 (.f64 t -1/3) 1)) 1) (+.f64 (+.f64 (.f64 t -1/3) 1) 1)) y))) (/.f64 (.f64 a -1/3) b))
	28.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (expm1.f64 (log1p.f64 (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
✓	27.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 1/3 t)))) (/.f64 a (*.f64 b 3)))
	20.2b	(-.f64 (.f64 (.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2) (pow.f64 x 1/4)) (pow.f64 x 1/4)) (/.f64 a (*.f64 b 3)))
	32.3b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (.f64 2 (sqrt.f64 x))) 3)) (/.f64 a (*.f64 b 3)))
	27.8b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (.f64 2 (sqrt.f64 x)))) 3) (/.f64 a (*.f64 b 3)))
	43.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 a (/.f64 -1/3 b)))
	20.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 z (/.f64 1 (/.f64 3 t)))))) (/.f64 a (.f64 b 3)))
	19.6b	(-.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)))
	26.0b	(-.f64 (cbrt.f64 (pow.f64 (.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))) (.f64 2 (sqrt.f64 x))) 3)) (/.f64 a (*.f64 b 3)))
	36.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (cbrt.f64 (pow.f64 (.f64 1/3 t) 3))))) (/.f64 a (*.f64 b 3)))
	36.8b	(/.f64 (/.f64 (*.f64 -1/3 a) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))
▶	19.7b	(-.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)))
	20.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 a b) 1/3))
	21.2b	(-.f64 (.f64 (.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2) (cbrt.f64 x)) (pow.f64 x 1/6)) (/.f64 a (*.f64 b 3)))
	38.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 z t) -1/3 y)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 z t) -1/3 y)))) (sin.f64 1)))) (/.f64 a (*.f64 b 3)))
	47.6b	(pow.f64 (pow.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 3) 1/3)
	36.2b	(-.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (.f64 2 (sqrt.f64 x))) 3) 1/3) (/.f64 a (*.f64 b 3)))

Compiler

Compiled 5717 to 4384 computations (23.3% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 48 to 27 computations (43.8% saved)

series7.0ms (0%)

Counts

3 → 73

Calls

21 calls:

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

rewrite100.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

764×	`log-prod_binary64`
388×	`pow2_binary64`
347×	`fma-def_binary64`
269×	`pow1/3_binary64`
269×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	31
1	300	29
2	3956	29

Stop Event

1×	node limit

Counts

3 → 192

Calls

Call 1

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

Outputs

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

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

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

simplify67.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

898×	`fma-def_binary64`
489×	`distribute-rgt-neg-in_binary64`
446×	`distribute-lft-neg-in_binary64`
381×	`associate-l_binary64`
323×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	877
1	107	862
2	286	838
3	951	836
4	4092	836

Stop Event

1×	node limit

Counts

265 → 208

Calls

Call 1

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

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

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.2b	(/.f64 -1/3 (/.f64 b a))

Compiler

Compiled 17 to 10 computations (41.2% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite56.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

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

Outputs

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

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

50 → 26

Calls

Call 1

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

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

localize54.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.8b	(.f64 t (.f64 z (*.f64 t z)))
✓	2.2b	(.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 t (sin.f64 y)) (.f64 z 2/3)) (.f64 (cos.f64 y) (+.f64 (.f64 -1/9 (.f64 t (.f64 z (*.f64 t z)))) 2))))
✓	2.5b	(+.f64 (.f64 (.f64 t (sin.f64 y)) (.f64 z 2/3)) (.f64 (cos.f64 y) (+.f64 (.f64 -1/9 (.f64 t (.f64 z (.f64 t z)))) 2)))
✓	2.5b	(.f64 (.f64 t (sin.f64 y)) (*.f64 z 2/3))

Compiler

Compiled 175 to 71 computations (59.4% saved)

series43.0ms (0.2%)

Counts

4 → 132

Calls

36 calls:

Time	Variable		Point	Expression
14.0ms	t	@	0	(+.f64 (.f64 (.f64 t (sin.f64 y)) (.f64 z 2/3)) (.f64 (cos.f64 y) (+.f64 (.f64 -1/9 (.f64 t (.f64 z (.f64 t z)))) 2)))
2.0ms	y	@	0	(+.f64 (.f64 (.f64 t (sin.f64 y)) (.f64 z 2/3)) (.f64 (cos.f64 y) (+.f64 (.f64 -1/9 (.f64 t (.f64 z (.f64 t z)))) 2)))
2.0ms	t	@	0	(.f64 (.f64 t (sin.f64 y)) (*.f64 z 2/3))
2.0ms	t	@	inf	(.f64 (.f64 t (sin.f64 y)) (*.f64 z 2/3))
1.0ms	y	@	inf	(+.f64 (.f64 (.f64 t (sin.f64 y)) (.f64 z 2/3)) (.f64 (cos.f64 y) (+.f64 (.f64 -1/9 (.f64 t (.f64 z (.f64 t z)))) 2)))

rewrite109.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

416×	`expm1-udef_binary64`
416×	`log1p-udef_binary64`
395×	`fma-neg_binary64`
260×	`associate-r_binary64`
242×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	89
1	480	80
2	6452	80

Stop Event

1×	node limit

Counts

4 → 95

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 2/3) z) (.f64 t (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) (fma.f64 -1/9 (pow.f64 (.f64 t z) 2) 2) (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3))) 2) (-.f64 (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3))) (.f64 (cos.f64 y) (fma.f64 -1/9 (pow.f64 (.f64 t z) 2) 2)))) (/.f64 (pow.f64 (.f64 (cos.f64 y) (fma.f64 -1/9 (pow.f64 (.f64 t z) 2) 2)) 2) (-.f64 (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3))) (.f64 (cos.f64 y) (fma.f64 -1/9 (pow.f64 (.f64 t z) 2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (cos.f64 y) (fma.f64 -1/9 (pow.f64 (.f64 t z) 2) 2) (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (cos.f64 y) (fma.f64 -1/9 (pow.f64 (.f64 t z) 2) 2) (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (cos.f64 y) (fma.f64 -1/9 (pow.f64 (.f64 t z) 2) 2) (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3))))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) (fma.f64 -1/9 (pow.f64 (.f64 t z) 2) 2) (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) (fma.f64 -1/9 (pow.f64 (.f64 t z) 2) 2) (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3))))) 2) (cbrt.f64 (fma.f64 (cos.f64 y) (fma.f64 -1/9 (pow.f64 (.f64 t z) 2) 2) (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (cos.f64 y) (fma.f64 -1/9 (pow.f64 (.f64 t z) 2) 2) (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3))))) (sqrt.f64 (fma.f64 (cos.f64 y) (fma.f64 -1/9 (pow.f64 (.f64 t z) 2) 2) (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3))) 3) (pow.f64 (.f64 (cos.f64 y) (fma.f64 -1/9 (pow.f64 (.f64 t z) 2) 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3))) 2) (.f64 (.f64 (cos.f64 y) (fma.f64 -1/9 (pow.f64 (.f64 t z) 2) 2)) (fma.f64 (cos.f64 y) (fma.f64 -1/9 (pow.f64 (.f64 t z) 2) 2) (neg.f64 (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3))) 2) (pow.f64 (.f64 (cos.f64 y) (fma.f64 -1/9 (pow.f64 (.f64 t z) 2) 2)) 2)) (/.f64 1 (-.f64 (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3))) (.f64 (cos.f64 y) (fma.f64 -1/9 (pow.f64 (.f64 t z) 2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3))) 2) (.f64 (.f64 (cos.f64 y) (fma.f64 -1/9 (pow.f64 (.f64 t z) 2) 2)) (fma.f64 (cos.f64 y) (fma.f64 -1/9 (pow.f64 (.f64 t z) 2) 2) (neg.f64 (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3))))))) (+.f64 (pow.f64 (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3))) 3) (pow.f64 (.f64 (cos.f64 y) (fma.f64 -1/9 (pow.f64 (.f64 t z) 2) 2)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3))) (.f64 (cos.f64 y) (fma.f64 -1/9 (pow.f64 (.f64 t z) 2) 2))) (-.f64 (pow.f64 (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3))) 2) (pow.f64 (.f64 (cos.f64 y) (fma.f64 -1/9 (pow.f64 (.f64 t z) 2) 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3))) 3) (pow.f64 (.f64 (cos.f64 y) (fma.f64 -1/9 (pow.f64 (.f64 t z) 2) 2)) 3)) (+.f64 (pow.f64 (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3))) 2) (.f64 (.f64 (cos.f64 y) (fma.f64 -1/9 (pow.f64 (.f64 t z) 2) 2)) (fma.f64 (cos.f64 y) (fma.f64 -1/9 (pow.f64 (.f64 t z) 2) 2) (neg.f64 (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3))) 3) (pow.f64 (.f64 (cos.f64 y) (fma.f64 -1/9 (pow.f64 (.f64 t z) 2) 2)) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 y) (fma.f64 -1/9 (pow.f64 (.f64 t z) 2) 2)) 2) (-.f64 (pow.f64 (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3))) 2) (.f64 (.f64 (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3))) (cos.f64 y)) (fma.f64 -1/9 (pow.f64 (.f64 t z) 2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3))) 2) (pow.f64 (.f64 (cos.f64 y) (fma.f64 -1/9 (pow.f64 (.f64 t z) 2) 2)) 2)) (-.f64 (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3))) (.f64 (cos.f64 y) (fma.f64 -1/9 (pow.f64 (.f64 t z) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3))) 3) (pow.f64 (.f64 (cos.f64 y) (fma.f64 -1/9 (pow.f64 (.f64 t z) 2) 2)) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3))) 2) (.f64 (.f64 (cos.f64 y) (fma.f64 -1/9 (pow.f64 (.f64 t z) 2) 2)) (fma.f64 (cos.f64 y) (fma.f64 -1/9 (pow.f64 (.f64 t z) 2) 2) (neg.f64 (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3))) 2) (pow.f64 (.f64 (cos.f64 y) (fma.f64 -1/9 (pow.f64 (.f64 t z) 2) 2)) 2))) (neg.f64 (-.f64 (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3))) (.f64 (cos.f64 y) (fma.f64 -1/9 (pow.f64 (.f64 t z) 2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) (fma.f64 -1/9 (pow.f64 (.f64 t z) 2) 2)) 2) (pow.f64 (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3))) 2)) (fma.f64 (cos.f64 y) (fma.f64 -1/9 (pow.f64 (.f64 t z) 2) 2) (neg.f64 (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (cos.f64 y) (fma.f64 -1/9 (pow.f64 (.f64 t z) 2) 2) (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (cos.f64 y) (fma.f64 -1/9 (pow.f64 (.f64 t z) 2) 2) (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) (fma.f64 -1/9 (pow.f64 (.f64 t z) 2) 2) (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) (fma.f64 -1/9 (pow.f64 (.f64 t z) 2) 2) (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) (fma.f64 -1/9 (pow.f64 (.f64 t z) 2) 2) (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (cos.f64 y) (fma.f64 -1/9 (pow.f64 (.f64 t z) 2) 2) (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 y) (fma.f64 -1/9 (pow.f64 (.f64 t z) 2) 2) (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) (fma.f64 -1/9 (pow.f64 (.f64 t z) 2) 2) (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) (fma.f64 -1/9 (pow.f64 (.f64 t z) 2) 2) (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) (fma.f64 -1/9 (pow.f64 (.f64 t z) 2) 2) (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (cos.f64 y) (fma.f64 -1/9 (pow.f64 (.f64 t z) 2) 2) (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 (cos.f64 y) (fma.f64 -1/9 (pow.f64 (.f64 t z) 2) 2) (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 t (.f64 (sin.f64 y) (.f64 z 2/3)) (.f64 (cos.f64 y) (fma.f64 -1/9 (pow.f64 (.f64 t z) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 t (sin.f64 y)) (.f64 z 2/3) (.f64 (cos.f64 y) (fma.f64 -1/9 (pow.f64 (.f64 t z) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 z 2/3) (.f64 t (sin.f64 y)) (.f64 (cos.f64 y) (fma.f64 -1/9 (pow.f64 (.f64 t z) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 y) (fma.f64 -1/9 (pow.f64 (.f64 t z) 2) 2) (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -1/9 (pow.f64 (.f64 t z) 2) 2) (cos.f64 y) (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3))) (.f64 (cos.f64 y) (fma.f64 -1/9 (pow.f64 (.f64 t z) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 (cos.f64 y) (fma.f64 -1/9 (pow.f64 (.f64 t z) 2) 2)) (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) (fma.f64 -1/9 (pow.f64 (.f64 t z) 2) 2))) 2) (cbrt.f64 (.f64 (cos.f64 y) (fma.f64 -1/9 (pow.f64 (.f64 t z) 2) 2))) (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3)))) 2) (cbrt.f64 (.f64 t (.f64 (sin.f64 y) (.f64 z 2/3)))) (.f64 (cos.f64 y) (fma.f64 -1/9 (pow.f64 (.f64 t z) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 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simplify108.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

750×	`associate-l_binary64`
705×	`fma-def_binary64`
619×	`associate-+l+_binary64`
581×	`associate-r_binary64`
448×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	91	3398
1	285	2930
2	929	2852
3	4426	2816

Stop Event

1×	node limit

Counts

227 → 148

Calls

Call 1

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

Outputs
(.f64 2/3 (.f64 t (*.f64 z (sin.f64 y))))
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(.f64 2/3 (.f64 z (*.f64 t (sin.f64 y))))
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(.f64 t (.f64 2/3 (*.f64 z (sin.f64 y))))
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(.f64 t (.f64 2/3 (*.f64 z (sin.f64 y))))
(.f64 2/3 (.f64 t (*.f64 z (sin.f64 y))))
(.f64 (.f64 2/3 t) (*.f64 z (sin.f64 y)))
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(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(.f64 (.f64 t t) (*.f64 z z))
(.f64 t (.f64 t (*.f64 z z)))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(.f64 (.f64 t t) (*.f64 z z))
(.f64 t (.f64 t (*.f64 z z)))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(.f64 (.f64 t t) (*.f64 z z))
(.f64 t (.f64 t (*.f64 z z)))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(.f64 (.f64 t t) (*.f64 z z))
(.f64 t (.f64 t (*.f64 z z)))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(.f64 (.f64 t t) (*.f64 z z))
(.f64 t (.f64 t (*.f64 z z)))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(.f64 (.f64 t t) (*.f64 z z))
(.f64 t (.f64 t (*.f64 z z)))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(.f64 (.f64 t t) (*.f64 z z))
(.f64 t (.f64 t (*.f64 z z)))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(.f64 (.f64 t t) (*.f64 z z))
(.f64 t (.f64 t (*.f64 z z)))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(.f64 (.f64 t t) (*.f64 z z))
(.f64 t (.f64 t (*.f64 z z)))

localize54.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(*.f64 t 1/3)
✓	0.5b	(pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 3)
✓	14.4b	(cbrt.f64 (.f64 z (.f64 t 1/3)))
✓	25.8b	(cos.f64 (-.f64 y (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 3)))

Compiler

Compiled 110 to 73 computations (33.6% saved)

series20.0ms (0.1%)

Counts

3 → 18

Calls

21 calls:

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

rewrite81.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

985×	`prod-diff_binary64`
588×	`log-prod_binary64`
266×	`fma-def_binary64`
217×	`expm1-udef_binary64`
217×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	267	28
2	3163	26

Stop Event

1×	node limit

Counts

3 → 112

Calls

Call 1

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

Outputs

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

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

simplify70.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

806×	`unsub-neg_binary64`
508×	`fma-def_binary64`
508×	`fma-neg_binary64`
448×	`neg-mul-1_binary64`
333×	`distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	305
1	127	227
2	370	199
3	1562	199
4	4736	199
5	7851	199

Stop Event

1×	node limit

Counts

130 → 124

Calls

Call 1

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

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

localize86.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(/.f64 a (*.f64 b 3))
✓	0.3b	(.f64 (.f64 z t) -1/3)
✓	28.6b	(cos.f64 (.f64 (.f64 z t) -1/3))
✓	28.7b	(sin.f64 (.f64 (.f64 z t) -1/3))

Compiler

Compiled 144 to 73 computations (49.3% saved)

series6.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite141.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

737×	`pow1_binary64`
676×	`add-log-exp_binary64`
676×	`log1p-expm1-u_binary64`
676×	`expm1-log1p-u_binary64`
662×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	25
1	159	25
2	1834	25

Stop Event

1×	node limit

Counts

3 → 43

Calls

Call 1

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

Outputs

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

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

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

simplify225.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

766×	`sqr-pow_binary64`
492×	`associate-+l+_binary64`
436×	`distribute-lft-out_binary64`
428×	`associate-+r+_binary64`
365×	`associate-l_binary64`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	56	844
1	151	840
2	452	836
3	2101	836
4	2581	818
5	3384	800
6	5011	800
7	5630	782
8	6108	782
9	6629	782
10	7241	782
11	7986	782

Stop Event

1×	node limit

Counts

115 → 62

Calls

Call 1

Inputs
(.f64 -1/3 (.f64 t z))
(+.f64 (.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (.f64 -1/3 (.f64 t z)))
(+.f64 (.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (+.f64 (.f64 -1/3 (.f64 t z)) (.f64 -1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)))))
(+.f64 (.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (+.f64 (.f64 1/11022480 (.f64 (pow.f64 t 7) (pow.f64 z 7))) (+.f64 (.f64 -1/3 (.f64 t z)) (.f64 -1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5))))))
(sin.f64 (.f64 -1/3 (.f64 t z)))
(sin.f64 (.f64 -1/3 (.f64 t z)))
(sin.f64 (.f64 -1/3 (.f64 t z)))
(sin.f64 (.f64 -1/3 (.f64 t z)))
(sin.f64 (.f64 -1/3 (.f64 t z)))
(sin.f64 (.f64 -1/3 (.f64 t z)))
(sin.f64 (.f64 -1/3 (.f64 t z)))
(sin.f64 (.f64 -1/3 (.f64 t z)))
(.f64 -1/3 (.f64 t z))
(+.f64 (.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (.f64 -1/3 (.f64 t z)))
(+.f64 (.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (+.f64 (.f64 -1/3 (.f64 t z)) (.f64 -1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)))))
(+.f64 (.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (+.f64 (.f64 1/11022480 (.f64 (pow.f64 t 7) (pow.f64 z 7))) (+.f64 (.f64 -1/3 (.f64 t z)) (.f64 -1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5))))))
(sin.f64 (.f64 -1/3 (.f64 t z)))
(sin.f64 (.f64 -1/3 (.f64 t z)))
(sin.f64 (.f64 -1/3 (.f64 t z)))
(sin.f64 (.f64 -1/3 (.f64 t z)))
(sin.f64 (.f64 -1/3 (.f64 t z)))
(sin.f64 (.f64 -1/3 (.f64 t z)))
(sin.f64 (.f64 -1/3 (.f64 t z)))
(sin.f64 (.f64 -1/3 (.f64 t z)))
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
(.f64 -1/3 (.f64 t z))
(.f64 t (.f64 z -1/3))
(.f64 z (.f64 -1/3 t))
(.f64 t (.f64 -1/3 z))
(+.f64 (.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (.f64 -1/3 (.f64 t z)))
(fma.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)) (.f64 -1/3 (*.f64 t z)))
(fma.f64 -1/3 (.f64 t z) (.f64 (*.f64 1/162 (pow.f64 z 3)) (pow.f64 t 3)))
(fma.f64 -1/3 (.f64 t z) (.f64 (pow.f64 t 3) (*.f64 1/162 (pow.f64 z 3))))
(fma.f64 -1/3 (.f64 t z) (.f64 1/162 (pow.f64 (*.f64 t z) 3)))
(fma.f64 1/162 (pow.f64 (.f64 t z) 3) (.f64 t (*.f64 -1/3 z)))
(+.f64 (.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (+.f64 (.f64 -1/3 (.f64 t z)) (.f64 -1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)))))
(fma.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)) (fma.f64 -1/3 (.f64 t z) (.f64 -1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)))))
(fma.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)) (fma.f64 -1/3 (.f64 t z) (.f64 (pow.f64 t 5) (.f64 (pow.f64 z 5) -1/29160))))
(fma.f64 -1/3 (.f64 t z) (fma.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)) (.f64 (pow.f64 z 5) (.f64 -1/29160 (pow.f64 t 5)))))
(fma.f64 -1/3 (.f64 t z) (fma.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)) (.f64 (.f64 -1/29160 (pow.f64 t 5)) (pow.f64 z 5))))
(fma.f64 -1/3 (.f64 t z) (fma.f64 1/162 (pow.f64 (.f64 t z) 3) (.f64 -1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)))))
(+.f64 (.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (+.f64 (.f64 1/11022480 (.f64 (pow.f64 t 7) (pow.f64 z 7))) (+.f64 (.f64 -1/3 (.f64 t z)) (.f64 -1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5))))))
(fma.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)) (fma.f64 1/11022480 (.f64 (pow.f64 t 7) (pow.f64 z 7)) (fma.f64 -1/3 (.f64 t z) (.f64 -1/29160 (*.f64 (pow.f64 t 5) (pow.f64 z 5))))))
(fma.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)) (fma.f64 1/11022480 (.f64 (pow.f64 t 7) (pow.f64 z 7)) (fma.f64 -1/3 (.f64 t z) (.f64 (pow.f64 t 5) (*.f64 (pow.f64 z 5) -1/29160)))))
(fma.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)) (fma.f64 -1/3 (.f64 t z) (fma.f64 -1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)) (.f64 (pow.f64 z 7) (*.f64 1/11022480 (pow.f64 t 7))))))
(fma.f64 1/162 (pow.f64 (.f64 t z) 3) (fma.f64 -1/3 (.f64 t z) (fma.f64 1/11022480 (.f64 (pow.f64 t 7) (pow.f64 z 7)) (.f64 -1/29160 (*.f64 (pow.f64 t 5) (pow.f64 z 5))))))
(fma.f64 1/162 (pow.f64 (.f64 t z) 3) (fma.f64 -1/3 (.f64 t z) (fma.f64 -1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)) (.f64 (pow.f64 z 7) (*.f64 1/11022480 (pow.f64 t 7))))))
(sin.f64 (.f64 -1/3 (.f64 t z)))
(sin.f64 (.f64 t (.f64 z -1/3)))
(sin.f64 (.f64 z (.f64 -1/3 t)))
(sin.f64 (.f64 t (.f64 -1/3 z)))
(sin.f64 (.f64 -1/3 (.f64 t z)))
(sin.f64 (.f64 t (.f64 z -1/3)))
(sin.f64 (.f64 z (.f64 -1/3 t)))
(sin.f64 (.f64 t (.f64 -1/3 z)))
(sin.f64 (.f64 -1/3 (.f64 t z)))
(sin.f64 (.f64 t (.f64 z -1/3)))
(sin.f64 (.f64 z (.f64 -1/3 t)))
(sin.f64 (.f64 t (.f64 -1/3 z)))
(sin.f64 (.f64 -1/3 (.f64 t z)))
(sin.f64 (.f64 t (.f64 z -1/3)))
(sin.f64 (.f64 z (.f64 -1/3 t)))
(sin.f64 (.f64 t (.f64 -1/3 z)))
(sin.f64 (.f64 -1/3 (.f64 t z)))
(sin.f64 (.f64 t (.f64 z -1/3)))
(sin.f64 (.f64 z (.f64 -1/3 t)))
(sin.f64 (.f64 t (.f64 -1/3 z)))
(sin.f64 (.f64 -1/3 (.f64 t z)))
(sin.f64 (.f64 t (.f64 z -1/3)))
(sin.f64 (.f64 z (.f64 -1/3 t)))
(sin.f64 (.f64 t (.f64 -1/3 z)))
(sin.f64 (.f64 -1/3 (.f64 t z)))
(sin.f64 (.f64 t (.f64 z -1/3)))
(sin.f64 (.f64 z (.f64 -1/3 t)))
(sin.f64 (.f64 t (.f64 -1/3 z)))
(sin.f64 (.f64 -1/3 (.f64 t z)))
(sin.f64 (.f64 t (.f64 z -1/3)))
(sin.f64 (.f64 z (.f64 -1/3 t)))
(sin.f64 (.f64 t (.f64 -1/3 z)))
(.f64 -1/3 (.f64 t z))
(.f64 t (.f64 z -1/3))
(.f64 z (.f64 -1/3 t))
(.f64 t (.f64 -1/3 z))
(+.f64 (.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (.f64 -1/3 (.f64 t z)))
(fma.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)) (.f64 -1/3 (*.f64 t z)))
(fma.f64 -1/3 (.f64 t z) (.f64 (*.f64 1/162 (pow.f64 z 3)) (pow.f64 t 3)))
(fma.f64 -1/3 (.f64 t z) (.f64 (pow.f64 t 3) (*.f64 1/162 (pow.f64 z 3))))
(fma.f64 -1/3 (.f64 t z) (.f64 1/162 (pow.f64 (*.f64 t z) 3)))
(fma.f64 1/162 (pow.f64 (.f64 t z) 3) (.f64 t (*.f64 -1/3 z)))
(+.f64 (.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (+.f64 (.f64 -1/3 (.f64 t z)) (.f64 -1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)))))
(fma.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)) (fma.f64 -1/3 (.f64 t z) (.f64 -1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)))))
(fma.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)) (fma.f64 -1/3 (.f64 t z) (.f64 (pow.f64 t 5) (.f64 (pow.f64 z 5) -1/29160))))
(fma.f64 -1/3 (.f64 t z) (fma.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)) (.f64 (pow.f64 z 5) (.f64 -1/29160 (pow.f64 t 5)))))
(fma.f64 -1/3 (.f64 t z) (fma.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)) (.f64 (.f64 -1/29160 (pow.f64 t 5)) (pow.f64 z 5))))
(fma.f64 -1/3 (.f64 t z) (fma.f64 1/162 (pow.f64 (.f64 t z) 3) (.f64 -1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)))))
(+.f64 (.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (+.f64 (.f64 1/11022480 (.f64 (pow.f64 t 7) (pow.f64 z 7))) (+.f64 (.f64 -1/3 (.f64 t z)) (.f64 -1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5))))))
(fma.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)) (fma.f64 1/11022480 (.f64 (pow.f64 t 7) (pow.f64 z 7)) (fma.f64 -1/3 (.f64 t z) (.f64 -1/29160 (*.f64 (pow.f64 t 5) (pow.f64 z 5))))))
(fma.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)) (fma.f64 1/11022480 (.f64 (pow.f64 t 7) (pow.f64 z 7)) (fma.f64 -1/3 (.f64 t z) (.f64 (pow.f64 t 5) (*.f64 (pow.f64 z 5) -1/29160)))))
(fma.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)) (fma.f64 -1/3 (.f64 t z) (fma.f64 -1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)) (.f64 (pow.f64 z 7) (*.f64 1/11022480 (pow.f64 t 7))))))
(fma.f64 1/162 (pow.f64 (.f64 t z) 3) (fma.f64 -1/3 (.f64 t z) (fma.f64 1/11022480 (.f64 (pow.f64 t 7) (pow.f64 z 7)) (.f64 -1/29160 (*.f64 (pow.f64 t 5) (pow.f64 z 5))))))
(fma.f64 1/162 (pow.f64 (.f64 t z) 3) (fma.f64 -1/3 (.f64 t z) (fma.f64 -1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)) (.f64 (pow.f64 z 7) (*.f64 1/11022480 (pow.f64 t 7))))))
(sin.f64 (.f64 -1/3 (.f64 t z)))
(sin.f64 (.f64 t (.f64 z -1/3)))
(sin.f64 (.f64 z (.f64 -1/3 t)))
(sin.f64 (.f64 t (.f64 -1/3 z)))
(sin.f64 (.f64 -1/3 (.f64 t z)))
(sin.f64 (.f64 t (.f64 z -1/3)))
(sin.f64 (.f64 z (.f64 -1/3 t)))
(sin.f64 (.f64 t (.f64 -1/3 z)))
(sin.f64 (.f64 -1/3 (.f64 t z)))
(sin.f64 (.f64 t (.f64 z -1/3)))
(sin.f64 (.f64 z (.f64 -1/3 t)))
(sin.f64 (.f64 t (.f64 -1/3 z)))
(sin.f64 (.f64 -1/3 (.f64 t z)))
(sin.f64 (.f64 t (.f64 z -1/3)))
(sin.f64 (.f64 z (.f64 -1/3 t)))
(sin.f64 (.f64 t (.f64 -1/3 z)))
(sin.f64 (.f64 -1/3 (.f64 t z)))
(sin.f64 (.f64 t (.f64 z -1/3)))
(sin.f64 (.f64 z (.f64 -1/3 t)))
(sin.f64 (.f64 t (.f64 -1/3 z)))
(sin.f64 (.f64 -1/3 (.f64 t z)))
(sin.f64 (.f64 t (.f64 z -1/3)))
(sin.f64 (.f64 z (.f64 -1/3 t)))
(sin.f64 (.f64 t (.f64 -1/3 z)))
(sin.f64 (.f64 -1/3 (.f64 t z)))
(sin.f64 (.f64 t (.f64 z -1/3)))
(sin.f64 (.f64 z (.f64 -1/3 t)))
(sin.f64 (.f64 t (.f64 -1/3 z)))
(sin.f64 (.f64 -1/3 (.f64 t z)))
(sin.f64 (.f64 t (.f64 z -1/3)))
(sin.f64 (.f64 z (.f64 -1/3 t)))
(sin.f64 (.f64 t (.f64 -1/3 z)))
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 z) (*.f64 t z)) 1)
(fma.f64 -1/18 (.f64 t (.f64 t (*.f64 z z))) 1)
(fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1)
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2)))))
(+.f64 1 (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (.f64 -1/18 (.f64 (.f64 t t) (*.f64 z z)))))
(+.f64 1 (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (.f64 (.f64 z z) (.f64 -1/18 (*.f64 t t)))))
(fma.f64 -1/18 (.f64 t (.f64 t (.f64 z z))) (fma.f64 (pow.f64 z 4) (.f64 1/1944 (pow.f64 t 4)) 1))
(fma.f64 -1/18 (.f64 (.f64 t z) (.f64 t z)) (fma.f64 (pow.f64 z 4) (.f64 1/1944 (pow.f64 t 4)) 1))
(fma.f64 -1/18 (.f64 (.f64 t z) (.f64 t z)) (fma.f64 1/1944 (pow.f64 (.f64 t z) 4) 1))
(fma.f64 -1/18 (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 -1/18 (.f64 (.f64 t z) (.f64 t z)) (.f64 (pow.f64 z 6) (.f64 -1/524880 (pow.f64 t 6))))))
(+.f64 (fma.f64 -1/18 (.f64 t (.f64 t (.f64 z z))) 1) (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (.f64 (pow.f64 z 6) (.f64 -1/524880 (pow.f64 t 6)))))
(+.f64 (fma.f64 -1/18 (.f64 (.f64 t z) (.f64 t z)) 1) (fma.f64 (pow.f64 t 6) (.f64 -1/524880 (pow.f64 z 6)) (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)))))
(+.f64 (fma.f64 -1/18 (.f64 (.f64 t z) (.f64 t z)) (.f64 1/1944 (pow.f64 (.f64 t z) 4))) (fma.f64 -1/524880 (pow.f64 (.f64 t z) 6) 1))
(+.f64 (fma.f64 -1/18 (pow.f64 (.f64 t z) 2) (.f64 1/1944 (pow.f64 (.f64 t z) 4))) (fma.f64 -1/524880 (pow.f64 (.f64 t z) 6) 1))
(+.f64 (fma.f64 -1/18 (pow.f64 (.f64 t z) 2) 1) (fma.f64 -1/524880 (pow.f64 (.f64 t z) 6) (.f64 1/1944 (pow.f64 (.f64 t z) 4))))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z -1/3)))
(cos.f64 (.f64 z (.f64 -1/3 t)))
(cos.f64 (.f64 t (.f64 -1/3 z)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z -1/3)))
(cos.f64 (.f64 z (.f64 -1/3 t)))
(cos.f64 (.f64 t (.f64 -1/3 z)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z -1/3)))
(cos.f64 (.f64 z (.f64 -1/3 t)))
(cos.f64 (.f64 t (.f64 -1/3 z)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z -1/3)))
(cos.f64 (.f64 z (.f64 -1/3 t)))
(cos.f64 (.f64 t (.f64 -1/3 z)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z -1/3)))
(cos.f64 (.f64 z (.f64 -1/3 t)))
(cos.f64 (.f64 t (.f64 -1/3 z)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z -1/3)))
(cos.f64 (.f64 z (.f64 -1/3 t)))
(cos.f64 (.f64 t (.f64 -1/3 z)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z -1/3)))
(cos.f64 (.f64 z (.f64 -1/3 t)))
(cos.f64 (.f64 t (.f64 -1/3 z)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z -1/3)))
(cos.f64 (.f64 z (.f64 -1/3 t)))
(cos.f64 (.f64 t (.f64 -1/3 z)))
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 z) (*.f64 t z)) 1)
(fma.f64 -1/18 (.f64 t (.f64 t (*.f64 z z))) 1)
(fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1)
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2)))))
(+.f64 1 (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (.f64 -1/18 (.f64 (.f64 t t) (*.f64 z z)))))
(+.f64 1 (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (.f64 (.f64 z z) (.f64 -1/18 (*.f64 t t)))))
(fma.f64 -1/18 (.f64 t (.f64 t (.f64 z z))) (fma.f64 (pow.f64 z 4) (.f64 1/1944 (pow.f64 t 4)) 1))
(fma.f64 -1/18 (.f64 (.f64 t z) (.f64 t z)) (fma.f64 (pow.f64 z 4) (.f64 1/1944 (pow.f64 t 4)) 1))
(fma.f64 -1/18 (.f64 (.f64 t z) (.f64 t z)) (fma.f64 1/1944 (pow.f64 (.f64 t z) 4) 1))
(fma.f64 -1/18 (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 -1/18 (.f64 (.f64 t z) (.f64 t z)) (.f64 (pow.f64 z 6) (.f64 -1/524880 (pow.f64 t 6))))))
(+.f64 (fma.f64 -1/18 (.f64 t (.f64 t (.f64 z z))) 1) (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (.f64 (pow.f64 z 6) (.f64 -1/524880 (pow.f64 t 6)))))
(+.f64 (fma.f64 -1/18 (.f64 (.f64 t z) (.f64 t z)) 1) (fma.f64 (pow.f64 t 6) (.f64 -1/524880 (pow.f64 z 6)) (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)))))
(+.f64 (fma.f64 -1/18 (.f64 (.f64 t z) (.f64 t z)) (.f64 1/1944 (pow.f64 (.f64 t z) 4))) (fma.f64 -1/524880 (pow.f64 (.f64 t z) 6) 1))
(+.f64 (fma.f64 -1/18 (pow.f64 (.f64 t z) 2) (.f64 1/1944 (pow.f64 (.f64 t z) 4))) (fma.f64 -1/524880 (pow.f64 (.f64 t z) 6) 1))
(+.f64 (fma.f64 -1/18 (pow.f64 (.f64 t z) 2) 1) (fma.f64 -1/524880 (pow.f64 (.f64 t z) 6) (.f64 1/1944 (pow.f64 (.f64 t z) 4))))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z -1/3)))
(cos.f64 (.f64 z (.f64 -1/3 t)))
(cos.f64 (.f64 t (.f64 -1/3 z)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z -1/3)))
(cos.f64 (.f64 z (.f64 -1/3 t)))
(cos.f64 (.f64 t (.f64 -1/3 z)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z -1/3)))
(cos.f64 (.f64 z (.f64 -1/3 t)))
(cos.f64 (.f64 t (.f64 -1/3 z)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z -1/3)))
(cos.f64 (.f64 z (.f64 -1/3 t)))
(cos.f64 (.f64 t (.f64 -1/3 z)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z -1/3)))
(cos.f64 (.f64 z (.f64 -1/3 t)))
(cos.f64 (.f64 t (.f64 -1/3 z)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z -1/3)))
(cos.f64 (.f64 z (.f64 -1/3 t)))
(cos.f64 (.f64 t (.f64 -1/3 z)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z -1/3)))
(cos.f64 (.f64 z (.f64 -1/3 t)))
(cos.f64 (.f64 t (.f64 -1/3 z)))
(cos.f64 (.f64 -1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z -1/3)))
(cos.f64 (.f64 z (.f64 -1/3 t)))
(cos.f64 (.f64 t (.f64 -1/3 z)))
(.f64 -1/3 (.f64 t z))
(.f64 t (.f64 z -1/3))
(.f64 z (.f64 -1/3 t))
(.f64 t (.f64 -1/3 z))
(.f64 -1/3 (.f64 t z))
(.f64 t (.f64 z -1/3))
(.f64 z (.f64 -1/3 t))
(.f64 t (.f64 -1/3 z))
(.f64 -1/3 (.f64 t z))
(.f64 t (.f64 z -1/3))
(.f64 z (.f64 -1/3 t))
(.f64 t (.f64 -1/3 z))
(.f64 -1/3 (.f64 t z))
(.f64 t (.f64 z -1/3))
(.f64 z (.f64 -1/3 t))
(.f64 t (.f64 -1/3 z))
(.f64 -1/3 (.f64 t z))
(.f64 t (.f64 z -1/3))
(.f64 z (.f64 -1/3 t))
(.f64 t (.f64 -1/3 z))
(.f64 -1/3 (.f64 t z))
(.f64 t (.f64 z -1/3))
(.f64 z (.f64 -1/3 t))
(.f64 t (.f64 -1/3 z))
(.f64 -1/3 (.f64 t z))
(.f64 t (.f64 z -1/3))
(.f64 z (.f64 -1/3 t))
(.f64 t (.f64 -1/3 z))
(.f64 -1/3 (.f64 t z))
(.f64 t (.f64 z -1/3))
(.f64 z (.f64 -1/3 t))
(.f64 t (.f64 -1/3 z))
(.f64 -1/3 (.f64 t z))
(.f64 t (.f64 z -1/3))
(.f64 z (.f64 -1/3 t))
(.f64 t (.f64 -1/3 z))
(.f64 -1/3 (.f64 t z))
(.f64 t (.f64 z -1/3))
(.f64 z (.f64 -1/3 t))
(.f64 t (.f64 -1/3 z))
(.f64 -1/3 (.f64 t z))
(.f64 t (.f64 z -1/3))
(.f64 z (.f64 -1/3 t))
(.f64 t (.f64 -1/3 z))
(.f64 -1/3 (.f64 t z))
(.f64 t (.f64 z -1/3))
(.f64 z (.f64 -1/3 t))
(.f64 t (.f64 -1/3 z))
(.f64 -1/3 (.f64 t z))
(.f64 t (.f64 z -1/3))
(.f64 z (.f64 -1/3 t))
(.f64 t (.f64 -1/3 z))
(.f64 -1/3 (.f64 t z))
(.f64 t (.f64 z -1/3))
(.f64 z (.f64 -1/3 t))
(.f64 t (.f64 -1/3 z))
(.f64 -1/3 (.f64 t z))
(.f64 t (.f64 z -1/3))
(.f64 z (.f64 -1/3 t))
(.f64 t (.f64 -1/3 z))
(.f64 -1/3 (.f64 t z))
(.f64 t (.f64 z -1/3))
(.f64 z (.f64 -1/3 t))
(.f64 t (.f64 -1/3 z))
(.f64 -1/3 (.f64 t z))
(.f64 t (.f64 z -1/3))
(.f64 z (.f64 -1/3 t))
(.f64 t (.f64 -1/3 z))
(.f64 -1/3 (.f64 t z))
(.f64 t (.f64 z -1/3))
(.f64 z (.f64 -1/3 t))
(.f64 t (.f64 -1/3 z))
(.f64 -1/3 (.f64 t z))
(.f64 t (.f64 z -1/3))
(.f64 z (.f64 -1/3 t))
(.f64 t (.f64 -1/3 z))
(.f64 -1/3 (.f64 t z))
(.f64 t (.f64 z -1/3))
(.f64 z (.f64 -1/3 t))
(.f64 t (.f64 -1/3 z))
(.f64 -1/3 (.f64 t z))
(.f64 t (.f64 z -1/3))
(.f64 z (.f64 -1/3 t))
(.f64 t (.f64 -1/3 z))
(.f64 -1/3 (.f64 t z))
(.f64 t (.f64 z -1/3))
(.f64 z (.f64 -1/3 t))
(.f64 t (.f64 -1/3 z))
(.f64 -1/3 (.f64 t z))
(.f64 t (.f64 z -1/3))
(.f64 z (.f64 -1/3 t))
(.f64 t (.f64 -1/3 z))
(.f64 -1/3 (.f64 t z))
(.f64 t (.f64 z -1/3))
(.f64 z (.f64 -1/3 t))
(.f64 t (.f64 -1/3 z))

eval367.0ms (1.4%)

Compiler: Compiled 18944 to 11075 computations (41.5% saved)

prune530.0ms (2%)

Pruning

122 alts after pruning (115 fresh and 7 done)

	Pruned	Kept	Total
New	616	45	661
Fresh	21	70	91
Picked	1	0	1
Done	0	7	7
Total	638	122	760

Error

14.1b

Counts

760 → 122

Alt Table

Click to see full alt table

Status	Error	Program
	27.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3))) (.f64 (sin.f64 y) (sin.f64 (expm1.f64 (log1p.f64 (.f64 z (.f64 t -1/3)))))))) (/.f64 a (*.f64 b 3)))
	43.6b	(+.f64 (.f64 (cos.f64 y) (sqrt.f64 (.f64 x 4))) (+.f64 (.f64 a (/.f64 1/3 b)) (fma.f64 (/.f64 1/3 b) a (.f64 a (/.f64 1/3 b)))))
	21.5b	(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2))) (/.f64 (*.f64 a 1/3) b))
	20.2b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 (.f64 -1/3 (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t)) y))) (/.f64 (.f64 a -1/3) b))
	27.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (expm1.f64 (cos.f64 (.f64 t (.f64 z 1/3)))))) (/.f64 a (*.f64 b 3)))
	43.4b	(-.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 (pow.f64 (exp.f64 1) (log.f64 (.f64 t (.f64 z 1/3)))))))) (/.f64 a (*.f64 b 3)))
	20.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 z 3) t)))) (/.f64 a (.f64 b 3)))
	19.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 t (.f64 -1/3 z)))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
	26.8b	(-.f64 (expm1.f64 (log1p.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x))))) (/.f64 a (.f64 b 3)))
	20.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (cbrt.f64 (.f64 z (expm1.f64 (log1p.f64 (.f64 t 1/3))))) 3)))) (/.f64 a (*.f64 b 3)))
	52.0b	(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))
	36.7b	(.f64 (.f64 (/.f64 -1/3 b) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
	35.9b	(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 (*.f64 a 1/3) b))
✓	17.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 (*.f64 a 1/3) b))
	27.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 t (.f64 z 1/3)))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 t (.f64 z 1/3)))))))) (/.f64 a (*.f64 b 3)))
	36.3b	(/.f64 (*.f64 -1/3 a) b)
	23.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3))) (.f64 (sin.f64 y) (.f64 t (.f64 -1/3 z))))) (/.f64 a (*.f64 b 3)))
	20.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (.f64 (.f64 t 1/3) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (/.f64 a (.f64 b 3)))
	17.4b	(fma.f64 (cbrt.f64 (.f64 x 4)) (.f64 (cbrt.f64 (.f64 2 (sqrt.f64 x))) (cos.f64 y)) (/.f64 (.f64 a -1/3) b))
	54.5b	(-.f64 (exp.f64 (log1p.f64 (fma.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 a (/.f64 1/3 b))))) 1)
	25.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 z t) 2) 1/9)) (cbrt.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (.f64 b 3)))
	27.8b	(-.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)))
	27.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 (.f64 t (.f64 z 1/3))) 3))) (/.f64 a (*.f64 b 3)))
	36.4b	(/.f64 1 (/.f64 b (*.f64 -1/3 a)))
	24.6b	(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
	20.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (cos.f64 (fma.f64 -1/3 (.f64 z t) (.f64 z (.f64 t 1/3))))) (.f64 (sin.f64 (fma.f64 (.f64 z t) -1/3 y)) (sin.f64 (fma.f64 -1/3 (.f64 z t) (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
	23.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))))) (/.f64 a (.f64 b 3)))
	33.6b	(-.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (.f64 2 (sqrt.f64 x))))) 3)) (/.f64 a (.f64 b 3)))
	43.4b	(-.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 (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 t (.f64 z 1/3)))) 1/3)))))) (/.f64 a (*.f64 b 3)))
	39.4b	(-.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)))
	32.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 t (.f64 z 1/3))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 t (.f64 z 1/3))))) (sin.f64 1)))) (/.f64 a (*.f64 b 3)))
✓	36.4b	(/.f64 -1/3 (/.f64 b a))
	20.3b	(-.f64 (.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (cbrt.f64 (.f64 x 4))) (cbrt.f64 (.f64 2 (sqrt.f64 x)))) (/.f64 a (.f64 b 3)))
	25.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (cos.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 z (.f64 t 1/3)))) (cbrt.f64 (.f64 (pow.f64 (.f64 z t) 2) 1/9)) (.f64 z (.f64 t 1/3))))) (.f64 (sin.f64 (fma.f64 (.f64 z t) -1/3 y)) (sin.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 z (.f64 t 1/3)))) (cbrt.f64 (.f64 (pow.f64 (.f64 z t) 2) 1/9)) (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
	20.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (.f64 z (pow.f64 (cbrt.f64 (.f64 t 1/3)) 2)) (cbrt.f64 (.f64 t 1/3)))))) (/.f64 a (*.f64 b 3)))
	36.4b	(/.f64 a (/.f64 b -1/3))
	36.4b	(*.f64 (/.f64 -1/3 b) a)
✓	29.0b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 t (sin.f64 y)) (.f64 z 2/3)) (.f64 (cos.f64 y) (+.f64 (.f64 -1/9 (.f64 t (.f64 z (.f64 t z)))) 2)))) (/.f64 a (.f64 b 3)))
	34.9b	(fabs.f64 (fma.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 a (/.f64 1/3 b))))
	24.8b	(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2))) (/.f64 a (.f64 b 3)))
	20.0b	(-.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)))
	35.6b	(/.f64 (fma.f64 4 x (.f64 (/.f64 a b) (.f64 (/.f64 a b) -1/9))) (fma.f64 2 (sqrt.f64 x) (*.f64 (/.f64 a b) 1/3)))
	27.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (.f64 z 1/3)))) (/.f64 a (*.f64 b 3)))
	24.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (sqrt.f64 (.f64 1/9 (pow.f64 (.f64 z t) 2))))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
	34.1b	(-.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x))) 3/2) 2/3) (/.f64 a (.f64 b 3)))
	23.6b	(-.f64 (+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))) (/.f64 a (*.f64 b 3)))
	27.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (.f64 t (.f64 z 1/3)))))) (/.f64 a (*.f64 b 3)))
	19.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (.f64 (exp.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))) (exp.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))))))) (/.f64 a (.f64 b 3)))
	20.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (cos.f64 (+.f64 (.f64 (.f64 z t) -1/3) (.f64 z (.f64 t 1/3))))) (.f64 (sin.f64 (fma.f64 (.f64 z t) -1/3 y)) (sin.f64 (+.f64 (.f64 (.f64 z t) -1/3) (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
	36.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (exp.f64 (log.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
✓	36.3b	(*.f64 -1/3 (/.f64 a b))
	25.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3))) (.f64 (sin.f64 y) (sin.f64 (sqrt.f64 (.f64 1/9 (pow.f64 (.f64 z t) 2))))))) (/.f64 a (*.f64 b 3)))
	40.1b	(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 a (/.f64 1/3 b))) 2)) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 a (/.f64 1/3 b))) 2))))
	37.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (pow.f64 (sqrt.f64 (/.f64 1/3 (/.f64 b a))) 2))
	20.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 z (.f64 t -1/3))))) (/.f64 a (*.f64 b 3)))
	36.4b	(*.f64 1/3 (/.f64 1 (/.f64 (neg.f64 b) a)))
	28.8b	(-.f64 (exp.f64 (log.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) (/.f64 (*.f64 a 1/3) b))
	33.6b	(-.f64 (exp.f64 (log.f64 (.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (.f64 2 (sqrt.f64 x))))) (/.f64 a (*.f64 b 3)))
	43.6b	(pow.f64 (/.f64 1 (fma.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 a (/.f64 1/3 b)))) -1)
	24.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (pow.f64 (sqrt.f64 (cos.f64 (.f64 z (.f64 t -1/3)))) 2)) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
	36.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3))) (.f64 (sin.f64 y) (pow.f64 (sqrt.f64 (sin.f64 (.f64 z (.f64 t -1/3)))) 2)))) (/.f64 a (*.f64 b 3)))
	24.9b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2))) 3/2) (/.f64 a (.f64 b 3)))
	28.3b	(/.f64 1 (/.f64 (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b))) (-.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2)) (/.f64 (pow.f64 (/.f64 a b) 2) 9))))
	30.9b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) (.f64 2 (sqrt.f64 x))) 3)) (/.f64 a (.f64 b 3)))
	35.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 -1 (.f64 -1/3 (.f64 t (.f64 z y)))) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))) (/.f64 a (*.f64 b 3)))
	36.7b	(.f64 (pow.f64 (cbrt.f64 (.f64 -1/3 (/.f64 a b))) 2) (cbrt.f64 (*.f64 -1/3 (/.f64 a b))))
	23.2b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x))) 3)) (/.f64 a (*.f64 b 3)))
	38.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/3 t))) 3))))) (/.f64 a (.f64 b 3)))
	27.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 t (.f64 z 1/3)))) 3)) (/.f64 a (*.f64 b 3)))
	20.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (.f64 (cbrt.f64 (.f64 z t)) (cbrt.f64 1/3)) 3)))) (/.f64 a (*.f64 b 3)))
	19.6b	(-.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)))
	43.6b	(+.f64 (fma.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 a (/.f64 1/3 b))) (+.f64 (fma.f64 (/.f64 1/3 b) a (.f64 a (/.f64 1/3 b))) (fma.f64 (/.f64 1/3 b) a (.f64 a (/.f64 1/3 b)))))
	31.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 -1 (+.f64 0 (.f64 (sin.f64 (.f64 t (.f64 z 1/3))) y))) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))) (/.f64 a (*.f64 b 3)))
	20.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) 1) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
	39.1b	(-.f64 (.f64 (+.f64 2 (.f64 (.f64 t z) (+.f64 (.f64 2/3 y) (.f64 t (.f64 z -1/9))))) (sqrt.f64 x)) (/.f64 a (*.f64 b 3)))
	38.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 1/3 t))) 1/3))))) (/.f64 a (*.f64 b 3)))
	17.3b	(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) (.f64 2 (sqrt.f64 x))) (/.f64 (*.f64 a -1/3) b))
	36.8b	(pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 3)
	19.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t -1/3))) 3))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
	17.3b	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 (.f64 2 (sqrt.f64 x)))) (sqrt.f64 (.f64 2 (sqrt.f64 x))) (/.f64 (.f64 a -1/3) b))
	41.0b	(/.f64 (-.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2)) (.f64 (/.f64 1/9 (.f64 b b)) (.f64 a a))) (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (neg.f64 (/.f64 1/3 b)))))
	19.3b	(-.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 (pow.f64 (cbrt.f64 (.f64 z (.f64 t -1/3))) 3))))) (/.f64 a (*.f64 b 3)))
	20.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (/.f64 (-.f64 (.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3))))) (.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))))) (cos.f64 (fma.f64 z (.f64 t 1/3) y)))) (/.f64 a (.f64 b 3)))
	42.9b	(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
	20.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (.f64 t 1/3)))))) (/.f64 a (.f64 b 3)))
	36.4b	(pow.f64 (*.f64 (/.f64 b a) -3) -1)
	20.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (.f64 (cbrt.f64 (.f64 t 1/3)) (cbrt.f64 z)) 3)))) (/.f64 a (*.f64 b 3)))
	30.3b	(-.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) 1) (/.f64 (*.f64 a 1/3) b))
	40.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (exp.f64 (log.f64 (.f64 z (.f64 t -1/3)))))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
	35.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (pow.f64 (pow.f64 (.f64 z (.f64 t -1/3)) 3) 1/3))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
	36.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (exp.f64 (.f64 (log.f64 (.f64 z (.f64 t 1/3))) 1/3)) 3)))) (/.f64 a (.f64 b 3)))
	38.6b	(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))
	38.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (exp.f64 (log.f64 (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
	20.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (/.f64 (/.f64 3 z) t) -1)))) (/.f64 a (*.f64 b 3)))
	27.8b	(-.f64 (cbrt.f64 (.f64 8 (+.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3/2)) (.f64 z (.f64 t (.f64 (sin.f64 y) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 3/2)))))))) (/.f64 a (*.f64 b 3)))
	27.9b	(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 (.f64 t (.f64 z 1/3))) 2))) (/.f64 a (*.f64 b 3)))
	25.7b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (/.f64 (-.f64 (.f64 (+.f64 (.f64 t -1/3) 1) (+.f64 (.f64 t -1/3) 1)) 1) (+.f64 (+.f64 (.f64 t -1/3) 1) 1)) y))) (/.f64 (.f64 a -1/3) b))
	35.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (cos.f64 (/.f64 (.f64 y y) (fma.f64 z (.f64 t 1/3) y))) (cos.f64 (/.f64 (pow.f64 (.f64 z (.f64 t 1/3)) 2) (fma.f64 z (.f64 t 1/3) y)))) (.f64 (sin.f64 (/.f64 (.f64 y y) (fma.f64 z (.f64 t 1/3) y))) (sin.f64 (/.f64 (pow.f64 (.f64 z (.f64 t 1/3)) 2) (fma.f64 z (.f64 t 1/3) y)))))) (/.f64 a (*.f64 b 3)))
	20.4b	(-.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)))
	34.1b	(-.f64 (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x))))) 1/3)) (/.f64 a (.f64 b 3)))
✓	34.8b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (expm1.f64 (log1p.f64 (.f64 t -1/3))) y))) (/.f64 (*.f64 a -1/3) b))
	39.0b	(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 a b))) 1)
	17.5b	(-.f64 (pow.f64 (cbrt.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))) 3) (/.f64 (*.f64 a 1/3) b))
	28.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (expm1.f64 (log1p.f64 (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
✓	27.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 1/3 t)))) (/.f64 a (*.f64 b 3)))
	20.2b	(-.f64 (.f64 (.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2) (pow.f64 x 1/4)) (pow.f64 x 1/4)) (/.f64 a (*.f64 b 3)))
	32.3b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (.f64 2 (sqrt.f64 x))) 3)) (/.f64 a (*.f64 b 3)))
	27.8b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (.f64 2 (sqrt.f64 x)))) 3) (/.f64 a (*.f64 b 3)))
	43.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 a (/.f64 -1/3 b)))
	20.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 z (/.f64 1 (/.f64 3 t)))))) (/.f64 a (.f64 b 3)))
	19.6b	(-.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)))
	26.0b	(-.f64 (cbrt.f64 (pow.f64 (.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))) (.f64 2 (sqrt.f64 x))) 3)) (/.f64 a (*.f64 b 3)))
	36.2b	(-.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)))
	27.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (expm1.f64 (log1p.f64 (.f64 z (.f64 t -1/3)))))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
✓	19.7b	(-.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)))
	38.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 z t) -1/3 y)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 z t) -1/3 y)))) (sin.f64 1)))) (/.f64 a (*.f64 b 3)))
	20.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (.f64 t 1/3)))) 2)) (cbrt.f64 (cbrt.f64 (.f64 z (.f64 t 1/3)))))))) (/.f64 a (*.f64 b 3)))
	20.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 a b) 1/3))
	21.2b	(-.f64 (.f64 (.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2) (cbrt.f64 x)) (pow.f64 x 1/6)) (/.f64 a (*.f64 b 3)))
	47.6b	(pow.f64 (pow.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 3) 1/3)
	36.2b	(-.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (.f64 2 (sqrt.f64 x))) 3) 1/3) (/.f64 a (*.f64 b 3)))
	27.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 (.f64 t z) -1/3))) (/.f64 a (*.f64 b 3)))

Compiler

Compiled 3613 to 2774 computations (23.2% saved)

regimes6.4s (24.3%)

Counts

190 → 3

Calls

Call 1

Inputs
(/.f64 a (/.f64 b -1/3))
(*.f64 (/.f64 -1/3 b) a)
(/.f64 (*.f64 -1/3 a) b)
(/.f64 -1/3 (/.f64 b a))
(*.f64 -1/3 (/.f64 a b))
(/.f64 1 (/.f64 b (*.f64 -1/3 a)))
(*.f64 1/3 (/.f64 1 (/.f64 (neg.f64 b) a)))
(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 a b))) 1)
(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 a b))) 1)
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(-.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 (cbrt.f64 (pow.f64 (.f64 t (.f64 z 1/3)) 3)))))) (/.f64 a (*.f64 b 3)))
(+.f64 (fma.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 a (/.f64 1/3 b))) (+.f64 (fma.f64 (/.f64 1/3 b) a (.f64 a (/.f64 1/3 b))) (fma.f64 (/.f64 1/3 b) a (.f64 a (/.f64 1/3 b)))))
(-.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 (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 t (.f64 z 1/3)))) 1/3)))))) (/.f64 a (*.f64 b 3)))
(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 (.f64 2 (sqrt.f64 x)))) (sqrt.f64 (.f64 2 (sqrt.f64 x))) (/.f64 (.f64 a -1/3) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (log.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))) (/.f64 (*.f64 a -1/3) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (expm1.f64 (log1p.f64 (.f64 t -1/3))) y))) (/.f64 (*.f64 a -1/3) b))
(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 (.f64 2 (sqrt.f64 x)))) (sqrt.f64 (.f64 2 (sqrt.f64 x))) (.f64 a (neg.f64 (/.f64 1/3 b))))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (pow.f64 (cbrt.f64 (.f64 t -1/3)) 3) y))) (/.f64 (*.f64 a -1/3) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2))) (/.f64 (*.f64 a -1/3) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) 3)) (/.f64 (*.f64 a -1/3) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (pow.f64 (pow.f64 (.f64 t -1/3) 3) 1/3) y))) (/.f64 (*.f64 a -1/3) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (pow.f64 (pow.f64 (.f64 t -1/3) 3) 1/3) y))) (/.f64 (*.f64 a -1/3) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (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)) (cos.f64 (-.f64 y (pow.f64 (cbrt.f64 (.f64 z (expm1.f64 (log1p.f64 (.f64 t 1/3))))) 3)))) (/.f64 a (*.f64 b 3)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 (cbrt.f64 (.f64 (.f64 t t) 1/9)) (cbrt.f64 (.f64 t -1/3))) y))) (/.f64 (.f64 a -1/3) b))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (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)) (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)) (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 1 (/.f64 (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b))) (-.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2)) (/.f64 (pow.f64 (/.f64 a b) 2) 9))))
(-.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 (pow.f64 (exp.f64 1) (log.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 (-.f64 0 (pow.f64 (.f64 t (.f64 z 1/3)) 3)) (+.f64 0 (fma.f64 (pow.f64 (.f64 t z) 2) 1/9 (.f64 0 (.f64 t (.f64 z 1/3)))))))))) (/.f64 a (*.f64 b 3)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) (.f64 2 (sqrt.f64 x))) (/.f64 (*.f64 a -1/3) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 (.f64 -1/3 (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t)) y))) (/.f64 (.f64 a -1/3) b))
(-.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 (expm1.f64 (log1p.f64 (.f64 z (.f64 t -1/3)))))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (exp.f64 (log.f64 (.f64 z (.f64 t -1/3)))))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (expm1.f64 (log1p.f64 (.f64 z (.f64 t -1/3)))))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (sqrt.f64 (.f64 1/9 (pow.f64 (.f64 z t) 2))))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3))) (.f64 (sin.f64 y) (sin.f64 (sqrt.f64 (.f64 1/9 (pow.f64 (.f64 z t) 2))))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (pow.f64 (sqrt.f64 (cos.f64 (.f64 z (.f64 t -1/3)))) 2)) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3))) (.f64 (sin.f64 y) (pow.f64 (sqrt.f64 (sin.f64 (.f64 z (.f64 t -1/3)))) 2)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t -1/3))) 3))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3))) (.f64 (sin.f64 y) (sin.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t -1/3))) 3))))) (/.f64 a (*.f64 b 3)))
(-.f64 (cbrt.f64 (pow.f64 (.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))) (.f64 2 (sqrt.f64 x))) 3)) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (pow.f64 (pow.f64 (.f64 z (.f64 t -1/3)) 3) 1/3))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (cos.f64 (+.f64 (.f64 (.f64 z t) -1/3) (.f64 z (.f64 t 1/3))))) (.f64 (sin.f64 (fma.f64 (.f64 z t) -1/3 y)) (sin.f64 (+.f64 (.f64 (.f64 z t) -1/3) (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (.f64 (exp.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))) (exp.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (.f64 (exp.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))) (exp.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))))))) (/.f64 a (.f64 b 3)))
(-.f64 (cbrt.f64 (.f64 8 (+.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3/2)) (.f64 z (.f64 t (.f64 (sin.f64 y) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 3/2)))))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 t (.f64 z 1/3)))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 t (.f64 z 1/3)))))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 t (.f64 z 1/3))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 t (.f64 z 1/3))))) (sin.f64 1)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (.f64 t 1/3)))) 2)) (cbrt.f64 (cbrt.f64 (.f64 z (.f64 t 1/3)))))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (cos.f64 (fma.f64 -1/3 (.f64 z t) (.f64 z (.f64 t 1/3))))) (.f64 (sin.f64 (fma.f64 (.f64 z t) -1/3 y)) (sin.f64 (fma.f64 -1/3 (.f64 z t) (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (+.f64 (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 t)))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 t)))))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 z t) -1/3 y)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 z t) -1/3 y)))) (sin.f64 1)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (/.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)))))) (cos.f64 (fma.f64 z (.f64 t 1/3) y)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (cos.f64 (/.f64 (.f64 y y) (fma.f64 z (.f64 t 1/3) y))) (cos.f64 (/.f64 (pow.f64 (.f64 z (.f64 t 1/3)) 2) (fma.f64 z (.f64 t 1/3) y)))) (.f64 (sin.f64 (/.f64 (.f64 y y) (fma.f64 z (.f64 t 1/3) y))) (sin.f64 (/.f64 (pow.f64 (.f64 z (.f64 t 1/3)) 2) (fma.f64 z (.f64 t 1/3) y)))))) (/.f64 a (*.f64 b 3)))
(fma.f64 (sqrt.f64 x) (.f64 2 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))))) (/.f64 (.f64 a -1/3) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 z (.f64 t -1/3) y)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 z (.f64 t -1/3) y)))) (sin.f64 1)))) (/.f64 (.f64 a -1/3) b))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 -1 (+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 (.f64 t (.f64 z 1/3)))) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 (.f64 t (.f64 z 1/3)))) y))))) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))) (/.f64 a (.f64 b 3)))
(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 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 a (/.f64 1/3 b))) 2)) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 a (/.f64 1/3 b))) 2))))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 -1 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 (.f64 t (.f64 z 1/3)))) y)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 (.f64 t (.f64 z 1/3)))) y))))) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))) (/.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)) (fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))) (cbrt.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))))) (cbrt.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (cos.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 z (.f64 t 1/3)))) (cbrt.f64 (.f64 (pow.f64 (.f64 z t) 2) 1/9)) (.f64 z (.f64 t 1/3))))) (.f64 (sin.f64 (fma.f64 (.f64 z t) -1/3 y)) (sin.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 z (.f64 t 1/3)))) (cbrt.f64 (.f64 (pow.f64 (.f64 z t) 2) 1/9)) (.f64 z (.f64 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 (pow.f64 (cbrt.f64 (*.f64 z (*.f64 t -1/3))) 3))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 (*.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))

(-.f64 (sqrt.f64 (*.f64 (*.f64 x 4) (pow.f64 (cos.f64 y) 2))) (/.f64 a (*.f64 b 3)))

Calls

21 calls:

762.0ms	(*.f64 z t)
450.0ms	(-.f64 y (/.f64 (*.f64 z t) 3))
436.0ms	(-.f64 y (/.f64 (*.f64 z t) 3))
435.0ms	(/.f64 (*.f64 z t) 3)
381.0ms	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))

Results

Error	Segments	Branch
17.1b	1	`x`
17.1b	1	`y`
17.1b	1	`z`
17.1b	1	`t`
17.1b	1	`a`
17.1b	1	`b`
16.0b	2	`(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))`
16.0b	2	`(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))`
16.0b	2	`(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))`
17.1b	1	`(*.f64 2 (sqrt.f64 x))`
17.1b	1	`(sqrt.f64 x)`
16.0b	2	`(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))`
16.0b	2	`(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))`
15.9b	3	`(-.f64 y (/.f64 (*.f64 z t) 3))`
15.9b	3	`(-.f64 y (/.f64 (*.f64 z t) 3))`
15.9b	3	`(/.f64 (*.f64 z t) 3)`
15.9b	3	`(/.f64 (*.f64 z t) 3)`
15.9b	3	`(*.f64 z t)`
15.9b	3	`(*.f64 z t)`
17.1b	1	`(/.f64 a (*.f64 b 3))`
17.1b	1	`(*.f64 b 3)`

Compiler

Compiled 4710 to 3005 computations (36.2% saved)

bsearch3.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.674272093535054e+276	1.1916516922032919e+281
0.0ms	-3.0658937922341853e+216	-1.085597548935708e+209

Compiler

Compiled 34 to 27 computations (20.6% saved)

regimes3.7s (13.8%)

Counts

165 → 3

Calls

Call 1

Inputs
(/.f64 a (/.f64 b -1/3))
(*.f64 (/.f64 -1/3 b) a)
(/.f64 (*.f64 -1/3 a) b)
(/.f64 -1/3 (/.f64 b a))
(*.f64 -1/3 (/.f64 a b))
(/.f64 1 (/.f64 b (*.f64 -1/3 a)))
(*.f64 1/3 (/.f64 1 (/.f64 (neg.f64 b) a)))
(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 a b))) 1)
(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 a b))) 1)
(pow.f64 (*.f64 (/.f64 b a) -3) -1)
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 (*.f64 a 1/3) b))
(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (+.f64 2 (.f64 (.f64 t z) (+.f64 (.f64 2/3 y) (.f64 t (.f64 z -1/9))))) (sqrt.f64 x)) (/.f64 a (*.f64 b 3)))
(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
(pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 3)
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 (*.f64 a 1/3) b))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 a (/.f64 -1/3 b)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1/3 b) a))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1 b) (/.f64 a 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 (.f64 t z) -1/3))) (/.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)))
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(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (pow.f64 (cbrt.f64 (.f64 t -1/3)) 3) y))) (/.f64 (*.f64 a -1/3) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2))) (/.f64 (*.f64 a -1/3) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) 3)) (/.f64 (*.f64 a -1/3) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (pow.f64 (pow.f64 (.f64 t -1/3) 3) 1/3) y))) (/.f64 (*.f64 a -1/3) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (pow.f64 (pow.f64 (.f64 t -1/3) 3) 1/3) y))) (/.f64 (*.f64 a -1/3) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (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)) (cos.f64 (-.f64 y (pow.f64 (cbrt.f64 (.f64 z (expm1.f64 (log1p.f64 (.f64 t 1/3))))) 3)))) (/.f64 a (*.f64 b 3)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 (cbrt.f64 (.f64 (.f64 t t) 1/9)) (cbrt.f64 (.f64 t -1/3))) y))) (/.f64 (.f64 a -1/3) b))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (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)) (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)) (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 1 (/.f64 (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b))) (-.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2)) (/.f64 (pow.f64 (/.f64 a b) 2) 9))))
(-.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 (pow.f64 (exp.f64 1) (log.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 (-.f64 0 (pow.f64 (.f64 t (.f64 z 1/3)) 3)) (+.f64 0 (fma.f64 (pow.f64 (.f64 t z) 2) 1/9 (.f64 0 (.f64 t (.f64 z 1/3)))))))))) (/.f64 a (*.f64 b 3)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) (.f64 2 (sqrt.f64 x))) (/.f64 (*.f64 a -1/3) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 (.f64 -1/3 (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t)) y))) (/.f64 (.f64 a -1/3) b))
(-.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 (expm1.f64 (log1p.f64 (.f64 z (.f64 t -1/3)))))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (exp.f64 (log.f64 (.f64 z (.f64 t -1/3)))))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (expm1.f64 (log1p.f64 (.f64 z (.f64 t -1/3)))))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (sqrt.f64 (.f64 1/9 (pow.f64 (.f64 z t) 2))))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3))) (.f64 (sin.f64 y) (sin.f64 (sqrt.f64 (.f64 1/9 (pow.f64 (.f64 z t) 2))))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (pow.f64 (sqrt.f64 (cos.f64 (.f64 z (.f64 t -1/3)))) 2)) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3))) (.f64 (sin.f64 y) (pow.f64 (sqrt.f64 (sin.f64 (.f64 z (.f64 t -1/3)))) 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 (cos.f64 y) (cos.f64 (*.f64 t (*.f64 -1/3 z)))) (*.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

21 calls:

351.0ms	(-.f64 y (/.f64 (*.f64 z t) 3))
259.0ms	(/.f64 (*.f64 z t) 3)
256.0ms	(/.f64 (*.f64 z t) 3)
248.0ms	(-.f64 y (/.f64 (*.f64 z t) 3))
242.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))

Results

Error	Segments	Branch
17.1b	1	`x`
17.1b	1	`y`
17.1b	1	`z`
17.1b	1	`t`
17.1b	1	`a`
17.1b	1	`b`
16.1b	2	`(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))`
16.1b	2	`(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))`
16.1b	2	`(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))`
17.1b	1	`(*.f64 2 (sqrt.f64 x))`
17.1b	1	`(sqrt.f64 x)`
16.1b	2	`(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))`
16.1b	2	`(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))`
16.0b	3	`(-.f64 y (/.f64 (*.f64 z t) 3))`
16.0b	3	`(-.f64 y (/.f64 (*.f64 z t) 3))`
15.9b	3	`(/.f64 (*.f64 z t) 3)`
15.9b	3	`(/.f64 (*.f64 z t) 3)`
15.9b	3	`(*.f64 z t)`
15.9b	3	`(*.f64 z t)`
17.1b	1	`(/.f64 a (*.f64 b 3))`
17.1b	1	`(*.f64 b 3)`

Compiler

Compiled 3687 to 2348 computations (36.3% saved)

bsearch2.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.3777593426314566e+168	2.2611124547928627e+168
0.0ms	-3.1596631928216135e+199	-2.612647376127415e+193

Compiler

Compiled 34 to 27 computations (20.6% saved)

regimes1.4s (5.3%)

Counts

131 → 1

Calls

Call 1

Inputs
(/.f64 a (/.f64 b -1/3))
(*.f64 (/.f64 -1/3 b) a)
(/.f64 (*.f64 -1/3 a) b)
(/.f64 -1/3 (/.f64 b a))
(*.f64 -1/3 (/.f64 a b))
(/.f64 1 (/.f64 b (*.f64 -1/3 a)))
(*.f64 1/3 (/.f64 1 (/.f64 (neg.f64 b) a)))
(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 a b))) 1)
(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 a b))) 1)
(pow.f64 (*.f64 (/.f64 b a) -3) -1)
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 (*.f64 a 1/3) b))
(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (+.f64 2 (.f64 (.f64 t z) (+.f64 (.f64 2/3 y) (.f64 t (.f64 z -1/9))))) (sqrt.f64 x)) (/.f64 a (*.f64 b 3)))
(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
(pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 3)
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 (*.f64 a 1/3) b))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 a (/.f64 -1/3 b)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1/3 b) a))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1 b) (/.f64 a 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 (.f64 t z) -1/3))) (/.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 z (.f64 t -1/3))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.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 (/.f64 a b) 1/3))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 1 b) (/.f64 a 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)) (+.f64 (.f64 -1 (.f64 -1/3 (.f64 t (.f64 z y)))) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))) (/.f64 a (*.f64 b 3)))
(.f64 (.f64 (/.f64 -1/3 b) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(/.f64 (/.f64 (*.f64 -1/3 a) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)) (/.f64 (.f64 a -1/3) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)) (/.f64 (.f64 a -1/3) b))
(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2))) (/.f64 (*.f64 a 1/3) b))
(.f64 (pow.f64 (cbrt.f64 (.f64 -1/3 (/.f64 a b))) 2) (cbrt.f64 (*.f64 -1/3 (/.f64 a b))))
(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2))) (/.f64 a (*.f64 b 3)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (.f64 t (.f64 z -1/3)))) (/.f64 (.f64 a -1/3) b))
(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 (.f64 t (.f64 z 1/3))) 2))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 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 (fma.f64 4 x (.f64 (/.f64 a b) (.f64 (/.f64 a b) -1/9))) (fma.f64 2 (sqrt.f64 x) (*.f64 (/.f64 a b) 1/3)))
(-.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 (cos.f64 y) (sqrt.f64 (.f64 x 4))) (+.f64 (.f64 a (/.f64 1/3 b)) (fma.f64 (/.f64 1/3 b) a (.f64 a (/.f64 1/3 b)))))
(-.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 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 -1 (+.f64 0 (.f64 (sin.f64 (.f64 t (.f64 z 1/3))) y))) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 t (sin.f64 y)) (.f64 z 2/3)) (.f64 (cos.f64 y) (+.f64 (.f64 -1/9 (.f64 t (.f64 z (.f64 t z)))) 2)))) (/.f64 a (.f64 b 3)))
(fabs.f64 (fma.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 a (/.f64 1/3 b))))
(-.f64 (exp.f64 (log.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) (/.f64 (*.f64 a 1/3) b))
(-.f64 (exp.f64 (log.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (pow.f64 (sqrt.f64 (/.f64 1/3 (/.f64 b a))) 2))
(-.f64 (pow.f64 (cbrt.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))) 3) (/.f64 (*.f64 a 1/3) b))
(pow.f64 (/.f64 1 (fma.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 a (/.f64 1/3 b)))) -1)
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (sqrt.f64 (pow.f64 (*.f64 a (/.f64 1/3 b)) 2)))
(-.f64 (pow.f64 (cbrt.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))) 3) (/.f64 a (*.f64 b 3)))
(-.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x))) 3)) (/.f64 a (*.f64 b 3)))
(sqrt.f64 (pow.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 2))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (pow.f64 (sqrt.f64 (*.f64 a (/.f64 1/3 b))) 2))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) 1) (/.f64 (*.f64 a 1/3) b))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) 1) (/.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)
(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)) (log1p.f64 (expm1.f64 (cos.f64 (.f64 t (.f64 z 1/3)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (.f64 t (.f64 z 1/3)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (exp.f64 (log.f64 (.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (.f64 2 (sqrt.f64 x))))) (/.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 (.f64 z (expm1.f64 (log1p.f64 (.f64 1/3 t)))))) (/.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)) (cbrt.f64 (pow.f64 (cos.f64 (.f64 t (.f64 z 1/3))) 3))) (/.f64 a (*.f64 b 3)))
(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 t (.f64 z 1/3)))) 3)) (/.f64 a (*.f64 b 3)))
(-.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (.f64 2 (sqrt.f64 x))) 3)) (/.f64 a (*.f64 b 3)))
(-.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (.f64 2 (sqrt.f64 x)))) 3) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (cbrt.f64 (pow.f64 (.f64 1/3 t) 3))))) (/.f64 a (*.f64 b 3)))
(-.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) 2) (.f64 x 4))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (exp.f64 (log.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (exp.f64 (log.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (pow.f64 (.f64 1/3 t) 3) 1/3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (.f64 2 (sqrt.f64 x))) 3) 1/3) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (exp.f64 (log.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2) (cbrt.f64 x)) (pow.f64 x 1/6)) (/.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 (/.f64 (.f64 z t) 3)))) (pow.f64 (sqrt.f64 (.f64 a (/.f64 1/3 b))) 2))
(-.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 z (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 1/3 t))) 1/3))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2) (pow.f64 x 1/4)) (pow.f64 x 1/4)) (/.f64 a (*.f64 b 3)))
(-.f64 (+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) 1) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
(-.f64 (+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))) (/.f64 a (*.f64 b 3)))
(-.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)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3))) (.f64 (sin.f64 y) (.f64 t (.f64 -1/3 z))))) (/.f64 a (*.f64 b 3)))
(/.f64 (-.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2)) (.f64 (/.f64 1/9 (.f64 b b)) (.f64 a a))) (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (neg.f64 (/.f64 1/3 b)))))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (/.f64 (-.f64 (.f64 (+.f64 (.f64 t -1/3) 1) (+.f64 (.f64 t -1/3) 1)) 1) (+.f64 (+.f64 (.f64 t -1/3) 1) 1)) y))) (/.f64 (.f64 a -1/3) b))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 a (/.f64 1/3 b))))) 1)
(fma.f64 (cbrt.f64 (.f64 x 4)) (.f64 (cbrt.f64 (.f64 2 (sqrt.f64 x))) (cos.f64 y)) (/.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 (expm1.f64 (log1p.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x))))) (/.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)) (log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))))) (/.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 (.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 (.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 (cos.f64 (.f64 t (.f64 z 1/3))) (.f64 2 (sqrt.f64 x))))) 3)) (/.f64 a (.f64 b 3)))
(-.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x))) 3/2) 2/3) (/.f64 a (.f64 b 3)))
(-.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2))) 3/2) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/3 t))) 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)) (cos.f64 (-.f64 y (pow.f64 (.f64 (cbrt.f64 (.f64 z t)) (cbrt.f64 1/3)) 3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (.f64 (cbrt.f64 (.f64 t 1/3)) (cbrt.f64 z)) 3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (cbrt.f64 (.f64 x 4))) (cbrt.f64 (.f64 2 (sqrt.f64 x)))) (/.f64 a (.f64 b 3)))
(-.f64 (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x))))) 1/3)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (.f64 (.f64 t 1/3) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (.f64 t 1/3)))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (exp.f64 (.f64 (log.f64 (.f64 z (.f64 t 1/3))) 1/3)) 3)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (.f64 t 1/3)))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (.f64 (.f64 t 1/3) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (/.f64 a (.f64 b 3)))
(-.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) (.f64 2 (sqrt.f64 x))) 3)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (.f64 z (pow.f64 (cbrt.f64 (.f64 t 1/3)) 2)) (cbrt.f64 (.f64 t 1/3)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (.f64 z (pow.f64 (cbrt.f64 (.f64 t 1/3)) 2)) (cbrt.f64 (.f64 t 1/3)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (cbrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 z t) 2) 1/9)) (cbrt.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2) (cbrt.f64 (.f64 z (.f64 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:

95.0ms	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))
79.0ms	z
76.0ms	y
75.0ms	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))
70.0ms	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))

Results

Error	Segments	Branch
17.1b	1	`x`
17.1b	1	`y`
17.1b	1	`z`
17.1b	1	`t`
17.1b	1	`a`
17.1b	1	`b`
17.1b	1	`(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))`
17.1b	1	`(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))`
17.1b	1	`(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))`
17.1b	1	`(*.f64 2 (sqrt.f64 x))`
17.1b	1	`(sqrt.f64 x)`
17.1b	1	`(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))`
17.1b	1	`(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))`
17.1b	1	`(-.f64 y (/.f64 (*.f64 z t) 3))`
17.1b	1	`(-.f64 y (/.f64 (*.f64 z t) 3))`
17.1b	1	`(/.f64 (*.f64 z t) 3)`
17.1b	1	`(*.f64 z t)`
17.1b	1	`(/.f64 a (*.f64 b 3))`
17.1b	1	`(*.f64 b 3)`

Compiler

Compiled 2718 to 1742 computations (35.9% saved)

regimes203.0ms (0.8%)

Counts

19 → 1

Calls

Call 1

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

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

Calls

12 calls:

81.0ms	y
11.0ms	(*.f64 2 (sqrt.f64 x))
11.0ms	(*.f64 b 3)
11.0ms	(*.f64 b 3)
11.0ms	(sqrt.f64 x)

Results

Error	Segments	Branch
17.2b	1	`x`
17.2b	1	`y`
17.2b	1	`z`
17.2b	1	`t`
17.2b	1	`a`
17.2b	1	`b`
17.2b	1	`(*.f64 2 (sqrt.f64 x))`
17.2b	1	`(sqrt.f64 x)`
17.2b	1	`(/.f64 a (*.f64 b 3))`
17.2b	1	`(/.f64 a (*.f64 b 3))`
17.2b	1	`(*.f64 b 3)`
17.2b	1	`(*.f64 b 3)`

Compiler

Compiled 287 to 201 computations (30% saved)

regimes654.0ms (2.5%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

10 calls:

199.0ms	a
170.0ms	(*.f64 b 3)
127.0ms	b
41.0ms	z
40.0ms	y

Results

Error	Segments	Branch
24.6b	1	`x`
22.2b	5	`y`
22.4b	5	`z`
24.6b	1	`t`
23.0b	3	`a`
23.4b	2	`b`
24.6b	1	`(*.f64 2 (sqrt.f64 x))`
24.6b	1	`(sqrt.f64 x)`
19.5b	3	`(/.f64 a (*.f64 b 3))`
23.4b	2	`(*.f64 b 3)`

Compiler

Compiled 228 to 163 computations (28.5% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.0245923690606147e-65	2.4809275767698995e-64
0.0ms	-5.684118030034778e-90	-4.274505326891644e-93

Compiler

Compiled 34 to 27 computations (20.6% saved)

regimes95.0ms (0.4%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

10 calls:

11.0ms	b
9.0ms	(*.f64 2 (sqrt.f64 x))
9.0ms	(*.f64 b 3)
9.0ms	x
9.0ms	(/.f64 a (*.f64 b 3))

Results

Error	Segments	Branch
24.6b	1	`x`
24.6b	1	`y`
24.6b	1	`z`
24.6b	1	`t`
24.6b	1	`a`
24.6b	1	`b`
24.6b	1	`(*.f64 2 (sqrt.f64 x))`
24.6b	1	`(sqrt.f64 x)`
24.6b	1	`(/.f64 a (*.f64 b 3))`
24.6b	1	`(*.f64 b 3)`

Compiler

Compiled 213 to 154 computations (27.7% saved)

regimes46.0ms (0.2%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

6 calls:

7.0ms	x
7.0ms	z
7.0ms	b
7.0ms	a
7.0ms	t

Results

Error	Segments	Branch
36.3b	1	`x`
36.3b	1	`y`
36.3b	1	`z`
36.3b	1	`t`
36.3b	1	`a`
36.3b	1	`b`

Compiler

Compiled 113 to 84 computations (25.7% saved)

regimes31.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

6 calls:

5.0ms	x
5.0ms	b
5.0ms	y
4.0ms	t
4.0ms	a

Results

Error	Segments	Branch
36.3b	1	`x`
36.3b	1	`y`
36.3b	1	`z`
36.3b	1	`t`
36.3b	1	`a`
36.3b	1	`b`

Compiler

Compiled 68 to 54 computations (20.6% saved)

regimes25.0ms (0.1%)

Accuracy

Total -0.1b remaining (-0.2%)

Threshold costs -0.1b (-0.2%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

6 calls:

5.0ms	a
4.0ms	x
4.0ms	z
4.0ms	b
4.0ms	y

Results

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

Compiler

Compiled 58 to 48 computations (17.2% saved)

simplify23.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

28×	`*-commutative_binary64`
15×	`+-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	76	344
1	112	344
2	140	344
3	157	344
4	167	344
5	170	344

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 z t) -2000000000000000042843093916083914884986269493489898588353418190684583481166660738809762058694254899725914558636661864181657900957739886843189208296670960146935684485884880403647747761611295732625305407912459924144128) (-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3))) (if (<=.f64 (.f64 z t) 10000000000000000028678785109953723248702060064614983783573429926910385653902272159683291957333224649616958313128598304010187936385481780447799767184805866054345934040104083320587698215409722049436653961817402491275192019201707119869992081071729797163687409453914913289541779456) (-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t -1/3))) 3))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (.f64 b 3))) (-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2))) (/.f64 a (.f64 b 3)))))
(if (<=.f64 (.f64 z t) -20000000000000001944124809770689306899513456960949883711695315279822601044442678468776355013032015521585513356295347692305208680856860570591457828942442724739900616292977285692626462671120877123272704) (-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3))) (if (<=.f64 (.f64 z t) 1999999999999999867720989669485949124743900432860663037223385644615401293399207295251384865191691894341829109199397042951078761626889625586558917010807457234988770000896) (-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 t (.f64 -1/3 z)))) (.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 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 (*.f64 a 1/3) b))
(if (<=.f64 (/.f64 a (.f64 b 3)) -5733746539975179/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312) (-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3))) (if (<=.f64 (/.f64 a (.f64 b 3)) 4742843975160471/118571099379011784113736688648896417641748464297615937576404566024103044751294464) (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))))
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(*.f64 -1/3 (/.f64 a b))
(/.f64 (*.f64 -1/3 a) b)
(/.f64 a (/.f64 b -1/3))

Outputs
(if (<=.f64 (.f64 z t) -2000000000000000042843093916083914884986269493489898588353418190684583481166660738809762058694254899725914558636661864181657900957739886843189208296670960146935684485884880403647747761611295732625305407912459924144128) (-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3))) (if (<=.f64 (.f64 z t) 10000000000000000028678785109953723248702060064614983783573429926910385653902272159683291957333224649616958313128598304010187936385481780447799767184805866054345934040104083320587698215409722049436653961817402491275192019201707119869992081071729797163687409453914913289541779456) (-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t -1/3))) 3))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (.f64 b 3))) (-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2))) (/.f64 a (.f64 b 3)))))
(if (<=.f64 (.f64 z t) -20000000000000001944124809770689306899513456960949883711695315279822601044442678468776355013032015521585513356295347692305208680856860570591457828942442724739900616292977285692626462671120877123272704) (-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3))) (if (<=.f64 (.f64 z t) 1999999999999999867720989669485949124743900432860663037223385644615401293399207295251384865191691894341829109199397042951078761626889625586558917010807457234988770000896) (-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 t (.f64 -1/3 z)))) (.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)))))
(if (<=.f64 (.f64 z t) -20000000000000001944124809770689306899513456960949883711695315279822601044442678468776355013032015521585513356295347692305208680856860570591457828942442724739900616292977285692626462671120877123272704) (-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3))) (if (<=.f64 (.f64 z t) 1999999999999999867720989669485949124743900432860663037223385644615401293399207295251384865191691894341829109199397042951078761626889625586558917010807457234988770000896) (-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 t (.f64 z -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 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 (*.f64 a 1/3) b))
(+.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 (*.f64 a -1/3) b))
(if (<=.f64 (/.f64 a (.f64 b 3)) -5733746539975179/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312) (-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3))) (if (<=.f64 (/.f64 a (.f64 b 3)) 4742843975160471/118571099379011784113736688648896417641748464297615937576404566024103044751294464) (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))))
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(*.f64 -1/3 (/.f64 a b))
(/.f64 (*.f64 -1/3 a) b)
(/.f64 (*.f64 a -1/3) b)
(/.f64 a (/.f64 b -1/3))

Compiler

Compiled 280 to 202 computations (27.9% saved)

soundness92.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	100	1982
1	305	1827
2	970	1713
3	4592	1707

Stop Event

1×	node limit

Compiler

Compiled 49 to 41 computations (16.3% saved)

end174.0ms (0.7%)

Compiler: Compiled 384 to 247 computations (35.7% saved)