Details

analyze459.0ms (1.4%)

Algorithm

1×

Search

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

Compiler

Compiled 26 to 20 computations (23.1% saved)

sample5.0s (15.2%)

Results

1.2s	5090×	body	256	valid
1.1s	1638×	body	1024	valid
1.1s	4596×	body	256	invalid
903.0ms	783×	body	2048	valid
374.0ms	743×	body	512	valid
276.0ms	1182×	body	256	infinite
3.0ms	2×	body	4096	valid

Bogosity

preprocess91.0ms (0.3%)

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)

simplify129.0ms (0.4%)

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

20.6b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	20.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))
▶	20.8b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (/.f64 (*.f64 a -1/3) b))

Compiler

Compiled 48 to 36 computations (25% saved)

localize36.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (*.f64 z t) 3)
✓	0.2b	(/.f64 a (*.f64 b 3))
✓	0.3b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
✓	23.4b	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))

Compiler

Compiled 83 to 44 computations (47% saved)

series65.0ms (0.2%)

Counts

4 → 120

Calls

33 calls:

Time	Variable		Point	Expression
42.0ms	y	@	-inf	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
1.0ms	t	@	inf	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
1.0ms	x	@	0	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
1.0ms	x	@	-inf	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
1.0ms	z	@	0	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))

rewrite106.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 125

Calls

Call 1

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

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

simplify79.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

245 → 166

Calls

Call 1

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

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

localize36.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (*.f64 a -1/3) b)
✓	0.3b	(*.f64 t -1/3)
✓	0.3b	(*.f64 a -1/3)
✓	23.4b	(cos.f64 (fma.f64 z (*.f64 t -1/3) y))

Compiler

Compiled 66 to 39 computations (40.9% saved)

series48.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
40.0ms	a	@	-inf	(*.f64 a -1/3)
1.0ms	z	@	0	(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
1.0ms	y	@	0	(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
1.0ms	t	@	0	(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
0.0ms	a	@	0	(/.f64 (*.f64 a -1/3) b)

rewrite81.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 124

Calls

Call 1

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

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

simplify95.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

208 → 147

Calls

Call 1

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

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

eval154.0ms (0.5%)

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

prune148.0ms (0.5%)

Pruning

50 alts after pruning (50 fresh and 0 done)

	Pruned	Kept	Total
New	263	50	313
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	265	50	315

Error

14.1b

Counts

315 → 50

Alt Table

Click to see full alt table

Status	Error	Program
	20.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (pow.f64 (.f64 3 (/.f64 b a)) -1))
	35.6b	(-.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)))
	20.9b	(-.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)))
	20.9b	(-.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)))
	20.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 a b) 1/3))
	19.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 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))))) (/.f64 a (*.f64 b 3)))
	24.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 t (.f64 z (.f64 1/3 (sin.f64 y))) (cos.f64 y))) (/.f64 a (*.f64 b 3)))
	21.5b	(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))
	21.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (/.f64 (/.f64 3 z) t) -1)))) (/.f64 a (*.f64 b 3)))
	20.9b	(-.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)) (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)))
	20.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))))) (/.f64 a (.f64 b 3)))
▶	24.7b	(-.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)))
	32.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (.f64 (pow.f64 (.f64 z t) 3) 1/27) 1/3)))) (/.f64 a (*.f64 b 3)))
	26.5b	(-.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 2 (sqrt.f64 x)) 3) (pow.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) 3))) (/.f64 a (.f64 b 3)))
	20.1b	(-.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)))
▶	16.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
	25.0b	(fma.f64 (sqrt.f64 x) (.f64 2 (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2))) (/.f64 (*.f64 a -1/3) b))
	36.5b	(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))
	27.9b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (.f64 -1/3 (.f64 t z)))) (/.f64 (.f64 a -1/3) b))
	20.7b	(-.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)))
	21.0b	(-.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)))
	52.5b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (exp.f64 (log.f64 (.f64 t -1/3))) y))) (/.f64 (*.f64 a -1/3) b))
	20.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 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)))))) (/.f64 a (.f64 b 3)))
	20.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 z 3) t)))) (/.f64 a (.f64 b 3)))
	40.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (exp.f64 (log.f64 (/.f64 (/.f64 a 3) b))))
	20.9b	(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))
	25.0b	(-.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)))
	19.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 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)))))) (/.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)))))) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
	20.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 (/.f64 a 3) b) 1))
	21.2b	(-.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)))
	24.7b	(-.f64 (.f64 (sqrt.f64 x) (fma.f64 2 (cos.f64 y) (.f64 (.f64 z (sin.f64 y)) (.f64 t 2/3)))) (/.f64 a (*.f64 b 3)))
	33.3b	(-.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)))
▶	24.8b	(fma.f64 (sqrt.f64 x) (.f64 2 (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))) (/.f64 (.f64 a -1/3) b))
	20.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 1 b) (/.f64 a 3)))
	34.0b	(-.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))))) 1) (/.f64 a (.f64 b 3)))
	29.1b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (cbrt.f64 (pow.f64 (.f64 t -1/3) 3)) y))) (/.f64 (*.f64 a -1/3) b))
	24.7b	(-.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)))
▶	27.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 1/3 t)))) (/.f64 a (*.f64 b 3)))
	26.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (cbrt.f64 (.f64 (pow.f64 (.f64 z t) 3) 1/27))))) (/.f64 a (*.f64 b 3)))
	20.7b	(-.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)))
	27.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z))))) (/.f64 a (*.f64 b 3)))
	16.6b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)) (/.f64 (.f64 a -1/3) b))
▶	21.2b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 3))
	20.1b	(-.f64 (+.f64 (.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 2 (sqrt.f64 x))) (.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) (.f64 2 (sqrt.f64 x)))) (/.f64 a (*.f64 b 3)))
	19.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
	21.0b	(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))
	20.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 z (/.f64 1 (/.f64 3 t)))))) (/.f64 a (.f64 b 3)))
	37.6b	(-.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))) 3) 1/3) (/.f64 a (.f64 b 3)))

Compiler

Compiled 3056 to 2298 computations (24.8% saved)

localize20.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 48 to 27 computations (43.8% saved)

series11.0ms (0%)

Counts

2 → 49

Calls

18 calls:

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

rewrite89.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 146

Calls

Call 1

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

Outputs

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

simplify121.0ms (0.4%)

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)))

localize95.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 z (.f64 1/3 t))
	0.2b	(/.f64 a (*.f64 b 3))
✓	0.3b	(*.f64 1/3 t)
✓	27.6b	(cos.f64 (.f64 z (.f64 1/3 t)))

Compiler

Compiled 70 to 44 computations (37.1% saved)

series5.0ms (0%)

Counts

3 → 48

Calls

15 calls:

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

rewrite66.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 38

Calls

Call 1

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

Outputs

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

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

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

simplify226.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 6 (0.0ms)

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

Stop Event

1×	node limit

Counts

86 → 49

Calls

Call 1

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

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

localize36.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))
	0.2b	(/.f64 a (*.f64 b 3))
✓	1.8b	(.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))))
✓	2.9b	(.f64 t (.f64 z (sin.f64 y)))

Compiler

Compiled 100 to 42 computations (58% saved)

series48.0ms (0.1%)

Counts

3 → 44

Calls

30 calls:

Time	Variable		Point	Expression
19.0ms	t	@	0	(.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))
6.0ms	z	@	inf	(.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))))
3.0ms	y	@	0	(.f64 t (.f64 z (sin.f64 y)))
1.0ms	t	@	0	(.f64 t (.f64 z (sin.f64 y)))
1.0ms	z	@	0	(.f64 t (.f64 z (sin.f64 y)))

rewrite95.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

897×	`log-prod_binary64`
376×	`fma-def_binary64`
301×	`expm1-udef_binary64`
301×	`log1p-udef_binary64`
279×	`pow3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	46
1	339	44
2	4471	44

Stop Event

1×	node limit

Counts

3 → 107

Calls

Call 1

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

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (*.f64 z (*.f64 (sin.f64 y) t)) (*.f64 1/3 (sqrt.f64 (*.f64 x 4))))) (sqrt.f64 (*.f64 (*.f64 z (*.f64 (sin.f64 y) t)) (*.f64 1/3 (sqrt.f64 (*.f64 x 4))))) (*.f64 (sqrt.f64 (*.f64 x 4)) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 t 1/3))) (sqrt.f64 (sqrt.f64 (*.f64 x 4)))) (*.f64 (sqrt.f64 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 t 1/3))) (sqrt.f64 (sqrt.f64 (*.f64 x 4)))) (*.f64 (sqrt.f64 (*.f64 x 4)) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x 4))) (sqrt.f64 (cos.f64 y))) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x 4))) (sqrt.f64 (cos.f64 y))) (*.f64 (*.f64 z (*.f64 (sin.f64 y) t)) (*.f64 1/3 (sqrt.f64 (*.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x 4))) (sqrt.f64 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 t 1/3)))) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x 4))) (sqrt.f64 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 t 1/3)))) (*.f64 (sqrt.f64 (*.f64 x 4)) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (sqrt.f64 (*.f64 x 4)))) (*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (sqrt.f64 (*.f64 x 4)))) (*.f64 (*.f64 z (*.f64 (sin.f64 y) t)) (*.f64 1/3 (sqrt.f64 (*.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) 2 (*.f64 (*.f64 z (*.f64 (sin.f64 y) t)) (*.f64 1/3 (sqrt.f64 (*.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 t 1/3)) (sqrt.f64 x)) 2 (*.f64 (sqrt.f64 (*.f64 x 4)) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 t 1/3)) 2) (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 x 4)) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 t 1/3)) (cbrt.f64 (*.f64 x 4))) (cbrt.f64 (sqrt.f64 (*.f64 x 4))) (*.f64 (sqrt.f64 (*.f64 x 4)) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 t 1/3)) (sqrt.f64 (sqrt.f64 (*.f64 x 4)))) (sqrt.f64 (sqrt.f64 (*.f64 x 4))) (*.f64 (sqrt.f64 (*.f64 x 4)) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (*.f64 x 4)) (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)) (*.f64 (*.f64 z (*.f64 (sin.f64 y) t)) (*.f64 1/3 (sqrt.f64 (*.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (*.f64 x 4)) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (*.f64 (*.f64 z (*.f64 (sin.f64 y) t)) (*.f64 1/3 (sqrt.f64 (*.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (*.f64 x 4)) (*.f64 z (*.f64 (sin.f64 y) t))) 1/3 (*.f64 (sqrt.f64 (*.f64 x 4)) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (*.f64 x 4)) 1/3) (*.f64 z (*.f64 (sin.f64 y) t)) (*.f64 (sqrt.f64 (*.f64 x 4)) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (*.f64 x 4)) (cbrt.f64 (*.f64 1/9 (pow.f64 (*.f64 z (*.f64 (sin.f64 y) t)) 2)))) (cbrt.f64 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 t 1/3))) (*.f64 (sqrt.f64 (*.f64 x 4)) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (*.f64 x 4)) (sqrt.f64 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 t 1/3)))) (sqrt.f64 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 t 1/3))) (*.f64 (sqrt.f64 (*.f64 x 4)) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (*.f64 x 4)) (*.f64 t 1/3)) (*.f64 z (sin.f64 y)) (*.f64 (sqrt.f64 (*.f64 x 4)) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 y) 2) (sqrt.f64 x) (*.f64 (*.f64 z (*.f64 (sin.f64 y) t)) (*.f64 1/3 (sqrt.f64 (*.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 y) (cbrt.f64 (*.f64 x 4))) (cbrt.f64 (sqrt.f64 (*.f64 x 4))) (*.f64 (*.f64 z (*.f64 (sin.f64 y) t)) (*.f64 1/3 (sqrt.f64 (*.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 (sqrt.f64 (*.f64 x 4)))) (sqrt.f64 (sqrt.f64 (*.f64 x 4))) (*.f64 (*.f64 z (*.f64 (sin.f64 y) t)) (*.f64 1/3 (sqrt.f64 (*.f64 x 4)))))))))

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

simplify160.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

805×	`fma-neg_binary64`
698×	`cancel-sign-sub-inv_binary64`
676×	`fma-def_binary64`
506×	`associate-l_binary64`
505×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	72	1075
1	207	983
2	729	929
3	3326	929
4	5344	922

Stop Event

1×	node limit

Counts

151 → 137

Calls

Call 1

Inputs
(.f64 y (.f64 t z))
(+.f64 (.f64 y (.f64 t z)) (.f64 -1/6 (.f64 (pow.f64 y 3) (*.f64 t z))))
(+.f64 (.f64 y (.f64 t z)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) (.f64 t z))) (.f64 1/120 (.f64 (pow.f64 y 5) (.f64 t z)))))
(+.f64 (.f64 y (.f64 t z)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) (.f64 t z))) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) (.f64 t z))) (.f64 -1/5040 (.f64 (pow.f64 y 7) (*.f64 t z))))))
(*.f64 2 (sqrt.f64 x))
(+.f64 (.f64 2/3 (.f64 (.f64 y (.f64 t z)) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 2/3 (.f64 (.f64 y (.f64 t z)) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x))))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 y 3) (.f64 t z)) (sqrt.f64 x))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 2/3 (.f64 (.f64 y (.f64 t z)) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))) (sqrt.f64 x)))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))) (sqrt.f64 x)))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))) (sqrt.f64 x)))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))) (sqrt.f64 x)))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))) (sqrt.f64 x)))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))) (sqrt.f64 x)))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))) (sqrt.f64 x)))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.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 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 2 (.f64 (cos.f64 y) (sqrt.f64 x))))
(.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 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.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 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))))
(.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 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.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 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 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 2 (.f64 (cos.f64 y) (sqrt.f64 x))))
(.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 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.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 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))))
(.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 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.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 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))))
(.f64 1/3 (.f64 y (*.f64 t z)))
(+.f64 (.f64 1/3 (.f64 y (.f64 t z))) (.f64 -1/18 (.f64 (pow.f64 y 3) (.f64 t z))))
(+.f64 (.f64 1/3 (.f64 y (.f64 t z))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 y 3) (.f64 t z))) (.f64 1/360 (.f64 (pow.f64 y 5) (*.f64 t z)))))
(+.f64 (.f64 1/3 (.f64 y (.f64 t z))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 y 3) (.f64 t z))) (+.f64 (.f64 -1/15120 (.f64 (pow.f64 y 7) (.f64 t z))) (.f64 1/360 (.f64 (pow.f64 y 5) (.f64 t z))))))

Outputs
(.f64 y (.f64 t z))
(+.f64 (.f64 y (.f64 t z)) (.f64 -1/6 (.f64 (pow.f64 y 3) (*.f64 t z))))
(fma.f64 y (.f64 t z) (.f64 -1/6 (.f64 (.f64 t z) (pow.f64 y 3))))
(.f64 (.f64 t z) (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y))
(.f64 (.f64 t z) (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (.f64 y (.f64 t z)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) (.f64 t z))) (.f64 1/120 (.f64 (pow.f64 y 5) (.f64 t z)))))
(fma.f64 y (.f64 t z) (fma.f64 -1/6 (.f64 (.f64 t z) (pow.f64 y 3)) (.f64 1/120 (.f64 (.f64 t z) (pow.f64 y 5)))))
(fma.f64 y (.f64 t z) (.f64 (.f64 t z) (+.f64 (.f64 -1/6 (pow.f64 y 3)) (*.f64 1/120 (pow.f64 y 5)))))
(.f64 (.f64 t z) (+.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (*.f64 1/120 (pow.f64 y 5))))
(.f64 (.f64 t z) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (fma.f64 -1/6 (pow.f64 y 3) y)))
(+.f64 (.f64 y (.f64 t z)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) (.f64 t z))) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) (.f64 t z))) (.f64 -1/5040 (.f64 (pow.f64 y 7) (*.f64 t z))))))
(fma.f64 y (.f64 t z) (fma.f64 -1/6 (.f64 (.f64 t z) (pow.f64 y 3)) (fma.f64 1/120 (.f64 (.f64 t z) (pow.f64 y 5)) (.f64 -1/5040 (.f64 (.f64 t z) (pow.f64 y 7))))))
(+.f64 (.f64 (.f64 t z) (+.f64 (.f64 -1/6 (pow.f64 y 3)) y)) (.f64 (.f64 t z) (+.f64 (.f64 1/120 (pow.f64 y 5)) (*.f64 -1/5040 (pow.f64 y 7)))))
(.f64 (.f64 t z) (+.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (fma.f64 1/120 (pow.f64 y 5) (*.f64 -1/5040 (pow.f64 y 7)))))
(*.f64 2 (sqrt.f64 x))
(+.f64 (.f64 2/3 (.f64 (.f64 y (.f64 t z)) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))
(fma.f64 2/3 (.f64 y (.f64 (.f64 t z) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (+.f64 2 (.f64 (.f64 y (.f64 t z)) 2/3)))
(.f64 (sqrt.f64 x) (fma.f64 (.f64 y 2/3) (*.f64 t z) 2))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 2/3 (.f64 (.f64 y (.f64 t z)) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x))))
(fma.f64 -1 (.f64 (sqrt.f64 x) (.f64 y y)) (fma.f64 2/3 (.f64 y (.f64 (.f64 t z) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x))))
(-.f64 (.f64 (sqrt.f64 x) (+.f64 2 (.f64 (.f64 y (.f64 t z)) 2/3))) (.f64 (sqrt.f64 x) (.f64 y y)))
(.f64 (sqrt.f64 x) (-.f64 (fma.f64 (.f64 y 2/3) (.f64 t z) 2) (.f64 y y)))
(.f64 (sqrt.f64 x) (+.f64 2 (.f64 y (fma.f64 (*.f64 t z) 2/3 (neg.f64 y)))))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 y 3) (.f64 t z)) (sqrt.f64 x))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 2/3 (.f64 (.f64 y (.f64 t z)) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))))
(fma.f64 -1/9 (.f64 (pow.f64 y 3) (.f64 (.f64 t z) (sqrt.f64 x))) (fma.f64 -1 (.f64 (sqrt.f64 x) (.f64 y y)) (fma.f64 2/3 (.f64 y (.f64 (.f64 t z) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))))
(+.f64 (.f64 (sqrt.f64 x) (+.f64 2 (.f64 (.f64 y (.f64 t z)) 2/3))) (.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 -1/9 (pow.f64 y 3)) (.f64 t z)) (neg.f64 (*.f64 y y)))))
(.f64 (sqrt.f64 x) (+.f64 (fma.f64 (.f64 y 2/3) (.f64 t z) 2) (fma.f64 (.f64 (.f64 -1/9 t) z) (pow.f64 y 3) (.f64 y (neg.f64 y)))))
(.f64 (sqrt.f64 x) (+.f64 (fma.f64 (.f64 y 2/3) (.f64 t z) 2) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 (.f64 -1/9 t) z) y) -1))))
(.f64 (sqrt.f64 x) (-.f64 (.f64 (.f64 t z) (+.f64 (.f64 (pow.f64 y 3) -1/9) (*.f64 y 2/3))) (fma.f64 y y -2)))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 1/3 (.f64 z (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 1/3 (.f64 z (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 1/3 (.f64 z (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 1/3 (.f64 z (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 1/3 (.f64 z (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 1/3 (.f64 z (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 1/3 (.f64 z (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 1/3 (.f64 z (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))
(+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 1/3 (.f64 z (sin.f64 y))) (cos.f64 y))))
(+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 1/3 (.f64 z (sin.f64 y))) (cos.f64 y))))
(+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 1/3 (.f64 z (sin.f64 y))) (cos.f64 y))))
(.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
(.f64 2/3 (.f64 (sqrt.f64 x) (.f64 t (.f64 z (sin.f64 y)))))
(.f64 (sqrt.f64 x) (.f64 2/3 (.f64 z (.f64 t (sin.f64 y)))))
(.f64 t (.f64 (sqrt.f64 x) (.f64 (.f64 2/3 (sin.f64 y)) z)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 1/3 (.f64 z (sin.f64 y))) (cos.f64 y))))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 1/3 (.f64 z (sin.f64 y))) (cos.f64 y))))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 1/3 (.f64 z (sin.f64 y))) (cos.f64 y))))
(.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
(.f64 2/3 (.f64 (sqrt.f64 x) (.f64 t (.f64 z (sin.f64 y)))))
(.f64 (sqrt.f64 x) (.f64 2/3 (.f64 z (.f64 t (sin.f64 y)))))
(.f64 t (.f64 (sqrt.f64 x) (.f64 (.f64 2/3 (sin.f64 y)) z)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 1/3 (.f64 z (sin.f64 y))) (cos.f64 y))))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 1/3 (.f64 z (sin.f64 y))) (cos.f64 y))))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 1/3 (.f64 z (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))
(+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 1/3 (.f64 z (sin.f64 y))) (cos.f64 y))))
(+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 1/3 (.f64 z (sin.f64 y))) (cos.f64 y))))
(+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 1/3 (.f64 z (sin.f64 y))) (cos.f64 y))))
(.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
(.f64 2/3 (.f64 (sqrt.f64 x) (.f64 t (.f64 z (sin.f64 y)))))
(.f64 (sqrt.f64 x) (.f64 2/3 (.f64 z (.f64 t (sin.f64 y)))))
(.f64 t (.f64 (sqrt.f64 x) (.f64 (.f64 2/3 (sin.f64 y)) z)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 1/3 (.f64 z (sin.f64 y))) (cos.f64 y))))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 1/3 (.f64 z (sin.f64 y))) (cos.f64 y))))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 1/3 (.f64 z (sin.f64 y))) (cos.f64 y))))
(.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
(.f64 2/3 (.f64 (sqrt.f64 x) (.f64 t (.f64 z (sin.f64 y)))))
(.f64 (sqrt.f64 x) (.f64 2/3 (.f64 z (.f64 t (sin.f64 y)))))
(.f64 t (.f64 (sqrt.f64 x) (.f64 (.f64 2/3 (sin.f64 y)) z)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 1/3 (.f64 z (sin.f64 y))) (cos.f64 y))))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 1/3 (.f64 z (sin.f64 y))) (cos.f64 y))))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 1/3 (.f64 z (sin.f64 y))) (cos.f64 y))))
(.f64 1/3 (.f64 y (*.f64 t z)))
(.f64 (.f64 y (*.f64 t z)) 1/3)
(.f64 (.f64 t z) (*.f64 y 1/3))
(.f64 y (.f64 z (*.f64 t 1/3)))
(+.f64 (.f64 1/3 (.f64 y (.f64 t z))) (.f64 -1/18 (.f64 (pow.f64 y 3) (.f64 t z))))
(fma.f64 1/3 (.f64 y (.f64 t z)) (.f64 (.f64 (*.f64 t z) (pow.f64 y 3)) -1/18))
(.f64 (.f64 t z) (+.f64 (.f64 y 1/3) (.f64 (pow.f64 y 3) -1/18)))
(.f64 t (.f64 z (fma.f64 y 1/3 (*.f64 (pow.f64 y 3) -1/18))))
(+.f64 (.f64 1/3 (.f64 y (.f64 t z))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 y 3) (.f64 t z))) (.f64 1/360 (.f64 (pow.f64 y 5) (*.f64 t z)))))
(fma.f64 1/3 (.f64 y (.f64 t z)) (fma.f64 -1/18 (.f64 (.f64 t z) (pow.f64 y 3)) (.f64 (.f64 (*.f64 t z) (pow.f64 y 5)) 1/360)))
(fma.f64 (.f64 y (.f64 t z)) 1/3 (.f64 (.f64 t z) (+.f64 (.f64 (pow.f64 y 3) -1/18) (.f64 (pow.f64 y 5) 1/360))))
(.f64 (.f64 t z) (+.f64 (.f64 y 1/3) (fma.f64 (pow.f64 y 5) 1/360 (.f64 (pow.f64 y 3) -1/18))))
(.f64 (.f64 t z) (+.f64 (.f64 (pow.f64 y 5) 1/360) (fma.f64 y 1/3 (.f64 (pow.f64 y 3) -1/18))))
(+.f64 (.f64 1/3 (.f64 y (.f64 t z))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 y 3) (.f64 t z))) (+.f64 (.f64 -1/15120 (.f64 (pow.f64 y 7) (.f64 t z))) (.f64 1/360 (.f64 (pow.f64 y 5) (.f64 t z))))))
(fma.f64 1/3 (.f64 y (.f64 t z)) (fma.f64 -1/18 (.f64 (.f64 t z) (pow.f64 y 3)) (fma.f64 -1/15120 (.f64 (.f64 t z) (pow.f64 y 7)) (.f64 (.f64 (*.f64 t z) (pow.f64 y 5)) 1/360))))
(+.f64 (.f64 (.f64 t z) (+.f64 (.f64 y 1/3) (.f64 (pow.f64 y 3) -1/18))) (.f64 (.f64 t z) (+.f64 (.f64 (pow.f64 y 5) 1/360) (.f64 (pow.f64 y 7) -1/15120))))
(.f64 (.f64 t z) (+.f64 (fma.f64 y 1/3 (.f64 (pow.f64 y 3) -1/18)) (fma.f64 (pow.f64 y 7) -1/15120 (.f64 (pow.f64 y 5) 1/360))))
(.f64 (.f64 t z) (+.f64 (fma.f64 (pow.f64 y 7) -1/15120 (.f64 (pow.f64 y 5) 1/360)) (fma.f64 y 1/3 (.f64 (pow.f64 y 3) -1/18))))

localize33.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 (*.f64 a -1/3) b)
	0.3b	(*.f64 a -1/3)
✓	1.8b	(fma.f64 (sqrt.f64 x) (.f64 2 (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))) (/.f64 (.f64 a -1/3) b))
✓	1.8b	(.f64 z (.f64 t (sin.f64 y)))

Compiler

Compiled 81 to 33 computations (59.3% saved)

series18.0ms (0.1%)

Counts

2 → 97

Calls

27 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	(fma.f64 (sqrt.f64 x) (.f64 2 (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))) (/.f64 (.f64 a -1/3) b))
1.0ms	a	@	0	(fma.f64 (sqrt.f64 x) (.f64 2 (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))) (/.f64 (.f64 a -1/3) b))
1.0ms	y	@	inf	(fma.f64 (sqrt.f64 x) (.f64 2 (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))) (/.f64 (.f64 a -1/3) b))
1.0ms	x	@	-inf	(fma.f64 (sqrt.f64 x) (.f64 2 (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))) (/.f64 (.f64 a -1/3) b))
1.0ms	x	@	inf	(fma.f64 (sqrt.f64 x) (.f64 2 (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))) (/.f64 (.f64 a -1/3) b))

rewrite127.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

451×	`prod-diff_binary64`
360×	`expm1-udef_binary64`
360×	`log1p-udef_binary64`
335×	`pow3_binary64`
307×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	39
1	406	39
2	4887	39

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

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

Outputs

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

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

simplify119.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

811×	`cancel-sign-sub-inv_binary64`
487×	`fma-def_binary64`
409×	`distribute-rgt-neg-in_binary64`
384×	`associate-l_binary64`
359×	`fma-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	68	2280
1	194	2210
2	629	1997
3	2598	1996
4	4503	1991
5	7566	1991

Stop Event

1×	node limit

Counts

138 → 71

Calls

Call 1

Inputs
(.f64 t (.f64 z (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 y (.f64 t z))
(+.f64 (.f64 y (.f64 t z)) (.f64 -1/6 (.f64 (pow.f64 y 3) (*.f64 t z))))
(+.f64 (.f64 y (.f64 t z)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) (.f64 t z))) (.f64 1/120 (.f64 (pow.f64 y 5) (.f64 t z)))))
(+.f64 (.f64 y (.f64 t z)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) (.f64 t z))) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) (.f64 t z))) (.f64 -1/5040 (.f64 (pow.f64 y 7) (*.f64 t z))))))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(*.f64 -1/3 (/.f64 a b))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b))))
(+.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 -1/3 (/.f64 a b))))
(+.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 -1/3 (/.f64 a b))))
(.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 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b))))
(+.f64 (.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 -1/3 (/.f64 a b))))
(+.f64 (.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 -1/3 (/.f64 a b))))
(.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 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b))))
(+.f64 (.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 -1/3 (/.f64 a b))))
(+.f64 (.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 -1/3 (/.f64 a b))))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.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 -1/3 (/.f64 a b))))
(+.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 -1/3 (/.f64 a b))))
(+.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 -1/3 (/.f64 a b))))
(.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 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b))))
(+.f64 (.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 -1/3 (/.f64 a b))))
(+.f64 (.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 -1/3 (/.f64 a b))))
(.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 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b))))
(+.f64 (.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 -1/3 (/.f64 a b))))
(+.f64 (.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 -1/3 (/.f64 a b))))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2/3 (.f64 (.f64 y (.f64 t z)) (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 2/3 (.f64 (.f64 y (.f64 t z)) (sqrt.f64 x))) (+.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 y 3) (.f64 t z)) (sqrt.f64 x))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 2/3 (.f64 (.f64 y (.f64 t z)) (sqrt.f64 x))) (+.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b))))))
(+.f64 (.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) (sqrt.f64 x))) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) (sqrt.f64 x))) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) (sqrt.f64 x))) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) (sqrt.f64 x))) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) (sqrt.f64 x))) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) (sqrt.f64 x))) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) (sqrt.f64 x))) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) (sqrt.f64 x))) (.f64 -1/3 (/.f64 a b)))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))) (sqrt.f64 x)))
(+.f64 (.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) (sqrt.f64 x))) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) (sqrt.f64 x))) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) (sqrt.f64 x))) (.f64 -1/3 (/.f64 a b)))
(*.f64 -1/3 (/.f64 a b))
(+.f64 (.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) (sqrt.f64 x))) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) (sqrt.f64 x))) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) (sqrt.f64 x))) (.f64 -1/3 (/.f64 a b)))
(*.f64 -1/3 (/.f64 a b))
(+.f64 (.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) (sqrt.f64 x))) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) (sqrt.f64 x))) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) (sqrt.f64 x))) (.f64 -1/3 (/.f64 a b)))
(*.f64 -1/3 (/.f64 a b))
(+.f64 (.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) (sqrt.f64 x))) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) (sqrt.f64 x))) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) (sqrt.f64 x))) (.f64 -1/3 (/.f64 a b)))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))) (sqrt.f64 x)))
(+.f64 (.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) (sqrt.f64 x))) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) (sqrt.f64 x))) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) (sqrt.f64 x))) (.f64 -1/3 (/.f64 a b)))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))) (sqrt.f64 x)))
(+.f64 (.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) (sqrt.f64 x))) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) (sqrt.f64 x))) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) (sqrt.f64 x))) (.f64 -1/3 (/.f64 a b)))

Outputs
(.f64 t (.f64 z (sin.f64 y)))
(.f64 z (.f64 t (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 z (.f64 t (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 z (.f64 t (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 z (.f64 t (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 z (.f64 t (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 z (.f64 t (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 z (.f64 t (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 z (.f64 t (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 z (.f64 t (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 z (.f64 t (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 z (.f64 t (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 z (.f64 t (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 z (.f64 t (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 z (.f64 t (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 z (.f64 t (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 z (.f64 t (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 z (.f64 t (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 z (.f64 t (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 z (.f64 t (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 z (.f64 t (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 z (.f64 t (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 z (.f64 t (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 z (.f64 t (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 z (.f64 t (sin.f64 y)))
(.f64 y (.f64 t z))
(.f64 t (.f64 z y))
(+.f64 (.f64 y (.f64 t z)) (.f64 -1/6 (.f64 (pow.f64 y 3) (*.f64 t z))))
(fma.f64 y (.f64 t z) (.f64 -1/6 (.f64 (.f64 t z) (pow.f64 y 3))))
(.f64 (.f64 t z) (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y))
(.f64 (.f64 t z) (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (.f64 y (.f64 t z)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) (.f64 t z))) (.f64 1/120 (.f64 (pow.f64 y 5) (.f64 t z)))))
(fma.f64 y (.f64 t z) (fma.f64 -1/6 (.f64 (.f64 t z) (pow.f64 y 3)) (.f64 1/120 (.f64 (.f64 t z) (pow.f64 y 5)))))
(fma.f64 y (.f64 t z) (.f64 (.f64 t z) (+.f64 (.f64 -1/6 (pow.f64 y 3)) (*.f64 1/120 (pow.f64 y 5)))))
(.f64 (.f64 t z) (+.f64 y (fma.f64 -1/6 (pow.f64 y 3) (*.f64 1/120 (pow.f64 y 5)))))
(.f64 (.f64 t z) (+.f64 y (fma.f64 1/120 (pow.f64 y 5) (*.f64 -1/6 (pow.f64 y 3)))))
(+.f64 (.f64 y (.f64 t z)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) (.f64 t z))) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) (.f64 t z))) (.f64 -1/5040 (.f64 (pow.f64 y 7) (*.f64 t z))))))
(fma.f64 y (.f64 t z) (fma.f64 -1/6 (.f64 (.f64 t z) (pow.f64 y 3)) (fma.f64 1/120 (.f64 (.f64 t z) (pow.f64 y 5)) (.f64 (.f64 -1/5040 (pow.f64 y 7)) (.f64 t z)))))
(+.f64 (.f64 (.f64 t z) (+.f64 (.f64 -1/6 (pow.f64 y 3)) y)) (.f64 (.f64 t z) (+.f64 (.f64 1/120 (pow.f64 y 5)) (*.f64 -1/5040 (pow.f64 y 7)))))
(.f64 (.f64 t z) (+.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (fma.f64 -1/5040 (pow.f64 y 7) (*.f64 1/120 (pow.f64 y 5)))))
(.f64 (.f64 t z) (+.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (fma.f64 1/120 (pow.f64 y 5) (*.f64 -1/5040 (pow.f64 y 7)))))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 z (.f64 t (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 z (.f64 t (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 z (.f64 t (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 z (.f64 t (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 z (.f64 t (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 z (.f64 t (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 z (.f64 t (sin.f64 y)))
(.f64 t (.f64 z (sin.f64 y)))
(.f64 z (.f64 t (sin.f64 y)))
(*.f64 -1/3 (/.f64 a b))
(/.f64 -1/3 (/.f64 b a))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))))
(fma.f64 -1/3 (/.f64 a b) (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))))
(fma.f64 -1/3 (/.f64 a b) (.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x))))
(+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b))))
(fma.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)) (fma.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b))))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 (sqrt.f64 x) (+.f64 (.f64 2 (cos.f64 y)) (.f64 (.f64 t (.f64 z (sin.f64 y))) 2/3))))
(fma.f64 (sqrt.f64 x) (fma.f64 (.f64 z (.f64 t (sin.f64 y))) 2/3 (*.f64 2 (cos.f64 y))) (/.f64 -1/3 (/.f64 b a)))
(fma.f64 -1/3 (/.f64 a b) (.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 (sin.f64 y) (.f64 z 1/3)) (cos.f64 y)))))
(+.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 -1/3 (/.f64 a b))))
(fma.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)) (fma.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b))))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 (sqrt.f64 x) (+.f64 (.f64 2 (cos.f64 y)) (.f64 (.f64 t (.f64 z (sin.f64 y))) 2/3))))
(fma.f64 (sqrt.f64 x) (fma.f64 (.f64 z (.f64 t (sin.f64 y))) 2/3 (*.f64 2 (cos.f64 y))) (/.f64 -1/3 (/.f64 b a)))
(fma.f64 -1/3 (/.f64 a b) (.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 (sin.f64 y) (.f64 z 1/3)) (cos.f64 y)))))
(+.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 -1/3 (/.f64 a b))))
(fma.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)) (fma.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b))))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 (sqrt.f64 x) (+.f64 (.f64 2 (cos.f64 y)) (.f64 (.f64 t (.f64 z (sin.f64 y))) 2/3))))
(fma.f64 (sqrt.f64 x) (fma.f64 (.f64 z (.f64 t (sin.f64 y))) 2/3 (*.f64 2 (cos.f64 y))) (/.f64 -1/3 (/.f64 b a)))
(fma.f64 -1/3 (/.f64 a b) (.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 (sin.f64 y) (.f64 z 1/3)) (cos.f64 y)))))
(.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
(.f64 2/3 (.f64 (.f64 (.f64 t z) (sqrt.f64 x)) (sin.f64 y)))
(.f64 (sin.f64 y) (.f64 (.f64 t z) (.f64 (sqrt.f64 x) 2/3)))
(+.f64 (.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 -1/3 (/.f64 a b))))
(fma.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)) (fma.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b))))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 (sqrt.f64 x) (+.f64 (.f64 2 (cos.f64 y)) (.f64 (.f64 t (.f64 z (sin.f64 y))) 2/3))))
(fma.f64 (sqrt.f64 x) (fma.f64 (.f64 z (.f64 t (sin.f64 y))) 2/3 (*.f64 2 (cos.f64 y))) (/.f64 -1/3 (/.f64 b a)))
(fma.f64 -1/3 (/.f64 a b) (.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 (sin.f64 y) (.f64 z 1/3)) (cos.f64 y)))))
(+.f64 (.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 -1/3 (/.f64 a b))))
(fma.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)) (fma.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b))))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 (sqrt.f64 x) (+.f64 (.f64 2 (cos.f64 y)) (.f64 (.f64 t (.f64 z (sin.f64 y))) 2/3))))
(fma.f64 (sqrt.f64 x) (fma.f64 (.f64 z (.f64 t (sin.f64 y))) 2/3 (*.f64 2 (cos.f64 y))) (/.f64 -1/3 (/.f64 b a)))
(fma.f64 -1/3 (/.f64 a b) (.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 (sin.f64 y) (.f64 z 1/3)) (cos.f64 y)))))
(+.f64 (.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 -1/3 (/.f64 a b))))
(fma.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)) (fma.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b))))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 (sqrt.f64 x) (+.f64 (.f64 2 (cos.f64 y)) (.f64 (.f64 t (.f64 z (sin.f64 y))) 2/3))))
(fma.f64 (sqrt.f64 x) (fma.f64 (.f64 z (.f64 t (sin.f64 y))) 2/3 (*.f64 2 (cos.f64 y))) (/.f64 -1/3 (/.f64 b a)))
(fma.f64 -1/3 (/.f64 a b) (.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 (sin.f64 y) (.f64 z 1/3)) (cos.f64 y)))))
(.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
(.f64 2/3 (.f64 (.f64 (.f64 t z) (sqrt.f64 x)) (sin.f64 y)))
(.f64 (sin.f64 y) (.f64 (.f64 t z) (.f64 (sqrt.f64 x) 2/3)))
(+.f64 (.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 -1/3 (/.f64 a b))))
(fma.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)) (fma.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b))))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 (sqrt.f64 x) (+.f64 (.f64 2 (cos.f64 y)) (.f64 (.f64 t (.f64 z (sin.f64 y))) 2/3))))
(fma.f64 (sqrt.f64 x) (fma.f64 (.f64 z (.f64 t (sin.f64 y))) 2/3 (*.f64 2 (cos.f64 y))) (/.f64 -1/3 (/.f64 b a)))
(fma.f64 -1/3 (/.f64 a b) (.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 (sin.f64 y) (.f64 z 1/3)) (cos.f64 y)))))
(+.f64 (.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 -1/3 (/.f64 a b))))
(fma.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)) (fma.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b))))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 (sqrt.f64 x) (+.f64 (.f64 2 (cos.f64 y)) (.f64 (.f64 t (.f64 z (sin.f64 y))) 2/3))))
(fma.f64 (sqrt.f64 x) (fma.f64 (.f64 z (.f64 t (sin.f64 y))) 2/3 (*.f64 2 (cos.f64 y))) (/.f64 -1/3 (/.f64 b a)))
(fma.f64 -1/3 (/.f64 a b) (.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 (sin.f64 y) (.f64 z 1/3)) (cos.f64 y)))))
(+.f64 (.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 -1/3 (/.f64 a b))))
(fma.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)) (fma.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b))))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 (sqrt.f64 x) (+.f64 (.f64 2 (cos.f64 y)) (.f64 (.f64 t (.f64 z (sin.f64 y))) 2/3))))
(fma.f64 (sqrt.f64 x) (fma.f64 (.f64 z (.f64 t (sin.f64 y))) 2/3 (*.f64 2 (cos.f64 y))) (/.f64 -1/3 (/.f64 b a)))
(fma.f64 -1/3 (/.f64 a b) (.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 (sin.f64 y) (.f64 z 1/3)) (cos.f64 y)))))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))))
(fma.f64 -1/3 (/.f64 a b) (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))))
(fma.f64 -1/3 (/.f64 a b) (.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x))))
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(fma.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)) (fma.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b))))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 (sqrt.f64 x) (+.f64 (.f64 2 (cos.f64 y)) (.f64 (.f64 t (.f64 z (sin.f64 y))) 2/3))))
(fma.f64 (sqrt.f64 x) (fma.f64 (.f64 z (.f64 t (sin.f64 y))) 2/3 (*.f64 2 (cos.f64 y))) (/.f64 -1/3 (/.f64 b a)))
(fma.f64 -1/3 (/.f64 a b) (.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 (sin.f64 y) (.f64 z 1/3)) (cos.f64 y)))))
(+.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 -1/3 (/.f64 a b))))
(fma.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)) (fma.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b))))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 (sqrt.f64 x) (+.f64 (.f64 2 (cos.f64 y)) (.f64 (.f64 t (.f64 z (sin.f64 y))) 2/3))))
(fma.f64 (sqrt.f64 x) (fma.f64 (.f64 z (.f64 t (sin.f64 y))) 2/3 (*.f64 2 (cos.f64 y))) (/.f64 -1/3 (/.f64 b a)))
(fma.f64 -1/3 (/.f64 a b) (.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 (sin.f64 y) (.f64 z 1/3)) (cos.f64 y)))))
(+.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 -1/3 (/.f64 a b))))
(fma.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)) (fma.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b))))
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(fma.f64 (sqrt.f64 x) (fma.f64 (.f64 z (.f64 t (sin.f64 y))) 2/3 (*.f64 2 (cos.f64 y))) (/.f64 -1/3 (/.f64 b a)))
(fma.f64 -1/3 (/.f64 a b) (.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 (sin.f64 y) (.f64 z 1/3)) (cos.f64 y)))))
(.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
(.f64 2/3 (.f64 (.f64 (.f64 t z) (sqrt.f64 x)) (sin.f64 y)))
(.f64 (sin.f64 y) (.f64 (.f64 t z) (.f64 (sqrt.f64 x) 2/3)))
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(fma.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)) (fma.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b))))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 (sqrt.f64 x) (+.f64 (.f64 2 (cos.f64 y)) (.f64 (.f64 t (.f64 z (sin.f64 y))) 2/3))))
(fma.f64 (sqrt.f64 x) (fma.f64 (.f64 z (.f64 t (sin.f64 y))) 2/3 (*.f64 2 (cos.f64 y))) (/.f64 -1/3 (/.f64 b a)))
(fma.f64 -1/3 (/.f64 a b) (.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 (sin.f64 y) (.f64 z 1/3)) (cos.f64 y)))))
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(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 (sqrt.f64 x) (+.f64 (.f64 2 (cos.f64 y)) (.f64 (.f64 t (.f64 z (sin.f64 y))) 2/3))))
(fma.f64 (sqrt.f64 x) (fma.f64 (.f64 z (.f64 t (sin.f64 y))) 2/3 (*.f64 2 (cos.f64 y))) (/.f64 -1/3 (/.f64 b a)))
(fma.f64 -1/3 (/.f64 a b) (.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 (sin.f64 y) (.f64 z 1/3)) (cos.f64 y)))))
(*.f64 -1/3 (/.f64 a b))
(/.f64 -1/3 (/.f64 b a))
(+.f64 (.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) (sqrt.f64 x))) (.f64 -1/3 (/.f64 a b)))
(fma.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)) (fma.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b))))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 (sqrt.f64 x) (+.f64 (.f64 2 (cos.f64 y)) (.f64 (.f64 t (.f64 z (sin.f64 y))) 2/3))))
(fma.f64 (sqrt.f64 x) (fma.f64 (.f64 z (.f64 t (sin.f64 y))) 2/3 (*.f64 2 (cos.f64 y))) (/.f64 -1/3 (/.f64 b a)))
(fma.f64 -1/3 (/.f64 a b) (.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 (sin.f64 y) (.f64 z 1/3)) (cos.f64 y)))))
(+.f64 (.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) (sqrt.f64 x))) (.f64 -1/3 (/.f64 a b)))
(fma.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)) (fma.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b))))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 (sqrt.f64 x) (+.f64 (.f64 2 (cos.f64 y)) (.f64 (.f64 t (.f64 z (sin.f64 y))) 2/3))))
(fma.f64 (sqrt.f64 x) (fma.f64 (.f64 z (.f64 t (sin.f64 y))) 2/3 (*.f64 2 (cos.f64 y))) (/.f64 -1/3 (/.f64 b a)))
(fma.f64 -1/3 (/.f64 a b) (.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 (sin.f64 y) (.f64 z 1/3)) (cos.f64 y)))))
(+.f64 (.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) (sqrt.f64 x))) (.f64 -1/3 (/.f64 a b)))
(fma.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)) (fma.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b))))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 (sqrt.f64 x) (+.f64 (.f64 2 (cos.f64 y)) (.f64 (.f64 t (.f64 z (sin.f64 y))) 2/3))))
(fma.f64 (sqrt.f64 x) (fma.f64 (.f64 z (.f64 t (sin.f64 y))) 2/3 (*.f64 2 (cos.f64 y))) (/.f64 -1/3 (/.f64 b a)))
(fma.f64 -1/3 (/.f64 a b) (.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 (sin.f64 y) (.f64 z 1/3)) (cos.f64 y)))))
(*.f64 -1/3 (/.f64 a b))
(/.f64 -1/3 (/.f64 b a))
(+.f64 (.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) (sqrt.f64 x))) (.f64 -1/3 (/.f64 a b)))
(fma.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)) (fma.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b))))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 (sqrt.f64 x) (+.f64 (.f64 2 (cos.f64 y)) (.f64 (.f64 t (.f64 z (sin.f64 y))) 2/3))))
(fma.f64 (sqrt.f64 x) (fma.f64 (.f64 z (.f64 t (sin.f64 y))) 2/3 (*.f64 2 (cos.f64 y))) (/.f64 -1/3 (/.f64 b a)))
(fma.f64 -1/3 (/.f64 a b) (.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 (sin.f64 y) (.f64 z 1/3)) (cos.f64 y)))))
(+.f64 (.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) (sqrt.f64 x))) (.f64 -1/3 (/.f64 a b)))
(fma.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)) (fma.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b))))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 (sqrt.f64 x) (+.f64 (.f64 2 (cos.f64 y)) (.f64 (.f64 t (.f64 z (sin.f64 y))) 2/3))))
(fma.f64 (sqrt.f64 x) (fma.f64 (.f64 z (.f64 t (sin.f64 y))) 2/3 (*.f64 2 (cos.f64 y))) (/.f64 -1/3 (/.f64 b a)))
(fma.f64 -1/3 (/.f64 a b) (.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 (sin.f64 y) (.f64 z 1/3)) (cos.f64 y)))))
(+.f64 (.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) (sqrt.f64 x))) (.f64 -1/3 (/.f64 a b)))
(fma.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)) (fma.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b))))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 (sqrt.f64 x) (+.f64 (.f64 2 (cos.f64 y)) (.f64 (.f64 t (.f64 z (sin.f64 y))) 2/3))))
(fma.f64 (sqrt.f64 x) (fma.f64 (.f64 z (.f64 t (sin.f64 y))) 2/3 (*.f64 2 (cos.f64 y))) (/.f64 -1/3 (/.f64 b a)))
(fma.f64 -1/3 (/.f64 a b) (.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 (sin.f64 y) (.f64 z 1/3)) (cos.f64 y)))))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 (.f64 t (*.f64 z (sin.f64 y))) 1/3))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 (.f64 t 1/3) (.f64 z (sin.f64 y)) (cos.f64 y))))
(.f64 (sqrt.f64 x) (fma.f64 (.f64 z (.f64 t (sin.f64 y))) 2/3 (.f64 2 (cos.f64 y))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 (sin.f64 y) (.f64 z 1/3)) (cos.f64 y))))
(+.f64 (.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) (sqrt.f64 x))) (.f64 -1/3 (/.f64 a b)))
(fma.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)) (fma.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b))))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 (sqrt.f64 x) (+.f64 (.f64 2 (cos.f64 y)) (.f64 (.f64 t (.f64 z (sin.f64 y))) 2/3))))
(fma.f64 (sqrt.f64 x) (fma.f64 (.f64 z (.f64 t (sin.f64 y))) 2/3 (*.f64 2 (cos.f64 y))) (/.f64 -1/3 (/.f64 b a)))
(fma.f64 -1/3 (/.f64 a b) (.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 (sin.f64 y) (.f64 z 1/3)) (cos.f64 y)))))
(+.f64 (.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) (sqrt.f64 x))) (.f64 -1/3 (/.f64 a b)))
(fma.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)) (fma.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b))))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 (sqrt.f64 x) (+.f64 (.f64 2 (cos.f64 y)) (.f64 (.f64 t (.f64 z (sin.f64 y))) 2/3))))
(fma.f64 (sqrt.f64 x) (fma.f64 (.f64 z (.f64 t (sin.f64 y))) 2/3 (*.f64 2 (cos.f64 y))) (/.f64 -1/3 (/.f64 b a)))
(fma.f64 -1/3 (/.f64 a b) (.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 (sin.f64 y) (.f64 z 1/3)) (cos.f64 y)))))
(+.f64 (.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) (sqrt.f64 x))) (.f64 -1/3 (/.f64 a b)))
(fma.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)) (fma.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b))))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 (sqrt.f64 x) (+.f64 (.f64 2 (cos.f64 y)) (.f64 (.f64 t (.f64 z (sin.f64 y))) 2/3))))
(fma.f64 (sqrt.f64 x) (fma.f64 (.f64 z (.f64 t (sin.f64 y))) 2/3 (*.f64 2 (cos.f64 y))) (/.f64 -1/3 (/.f64 b a)))
(fma.f64 -1/3 (/.f64 a b) (.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 (sin.f64 y) (.f64 z 1/3)) (cos.f64 y)))))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 (.f64 t (*.f64 z (sin.f64 y))) 1/3))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 (.f64 t 1/3) (.f64 z (sin.f64 y)) (cos.f64 y))))
(.f64 (sqrt.f64 x) (fma.f64 (.f64 z (.f64 t (sin.f64 y))) 2/3 (.f64 2 (cos.f64 y))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 (sin.f64 y) (.f64 z 1/3)) (cos.f64 y))))
(+.f64 (.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) (sqrt.f64 x))) (.f64 -1/3 (/.f64 a b)))
(fma.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)) (fma.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b))))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 (sqrt.f64 x) (+.f64 (.f64 2 (cos.f64 y)) (.f64 (.f64 t (.f64 z (sin.f64 y))) 2/3))))
(fma.f64 (sqrt.f64 x) (fma.f64 (.f64 z (.f64 t (sin.f64 y))) 2/3 (*.f64 2 (cos.f64 y))) (/.f64 -1/3 (/.f64 b a)))
(fma.f64 -1/3 (/.f64 a b) (.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 (sin.f64 y) (.f64 z 1/3)) (cos.f64 y)))))
(+.f64 (.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) (sqrt.f64 x))) (.f64 -1/3 (/.f64 a b)))
(fma.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)) (fma.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b))))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 (sqrt.f64 x) (+.f64 (.f64 2 (cos.f64 y)) (.f64 (.f64 t (.f64 z (sin.f64 y))) 2/3))))
(fma.f64 (sqrt.f64 x) (fma.f64 (.f64 z (.f64 t (sin.f64 y))) 2/3 (*.f64 2 (cos.f64 y))) (/.f64 -1/3 (/.f64 b a)))
(fma.f64 -1/3 (/.f64 a b) (.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 (sin.f64 y) (.f64 z 1/3)) (cos.f64 y)))))
(+.f64 (.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) (sqrt.f64 x))) (.f64 -1/3 (/.f64 a b)))
(fma.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)) (fma.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b))))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 (sqrt.f64 x) (+.f64 (.f64 2 (cos.f64 y)) (.f64 (.f64 t (.f64 z (sin.f64 y))) 2/3))))
(fma.f64 (sqrt.f64 x) (fma.f64 (.f64 z (.f64 t (sin.f64 y))) 2/3 (*.f64 2 (cos.f64 y))) (/.f64 -1/3 (/.f64 b a)))
(fma.f64 -1/3 (/.f64 a b) (.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 (sin.f64 y) (.f64 z 1/3)) (cos.f64 y)))))

localize75.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 -1/3 (/.f64 a b))
✓	0.6b	(pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 3)
✓	9.2b	(cbrt.f64 (*.f64 -1/3 (/.f64 a b)))
	23.4b	(cos.f64 (fma.f64 z (*.f64 t -1/3) y))

Compiler

Compiled 84 to 48 computations (42.9% saved)

series14.0ms (0%)

Counts

3 → 0

Calls

18 calls:

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

rewrite65.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

830×	`pow1_binary64`
780×	`add-log-exp_binary64`
780×	`log1p-expm1-u_binary64`
780×	`expm1-log1p-u_binary64`
763×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	196	23
2	2133	23

Stop Event

1×	node limit

Counts

3 → 84

Calls

Call 1

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

Outputs

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

((#(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 (/.f64 1 b) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a b) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/3 (/.f64 a b)) 1)))) (#(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 1 (*.f64 -1/3 (/.f64 a b)))))) (#(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 (pow.f64 (cbrt.f64 (/.f64 a b)) 2) (*.f64 (cbrt.f64 (/.f64 a b)) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 -1/3) (*.f64 (cbrt.f64 (/.f64 a b)) (pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 2)) (*.f64 (cbrt.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 (sqrt.f64 (/.f64 a b)) (*.f64 (sqrt.f64 (/.f64 a b)) -1/3))))) (#(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 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 1/6) (*.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 1/6) (pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/3 a) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 -1/3) 3) (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 2)) 3) (cbrt.f64 (*.f64 -1/3 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/3 (cbrt.f64 (*.f64 b b))) (/.f64 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 -1/3 (pow.f64 (cbrt.f64 (/.f64 a b)) 2)) (cbrt.f64 (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/3 (sqrt.f64 (/.f64 a b))) (sqrt.f64 (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 2) 1) (cbrt.f64 (*.f64 -1/3 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 2) (cbrt.f64 -1/3)) (cbrt.f64 (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 2))) (cbrt.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 2) (pow.f64 (*.f64 -1/3 (/.f64 a b)) 1/6)) (pow.f64 (*.f64 -1/3 (/.f64 a b)) 1/6))))) (#(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) (cbrt.f64 (*.f64 b b))) (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 sqrt.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 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))))))))

((#(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) (cbrt.f64 (*.f64 b b))) (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 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 3)))) (#(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 (pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 2) 3/2)))) (#(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 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 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))))))))

simplify130.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

84 → 68

Calls

Call 1

Inputs

Outputs

eval732.0ms (2.2%)

Compiler: Compiled 18597 to 10366 computations (44.3% saved)

prune580.0ms (1.8%)

Pruning

71 alts after pruning (69 fresh and 2 done)

	Pruned	Kept	Total
New	691	46	737
Fresh	22	23	45
Picked	1	0	1
Done	2	2	4
Total	716	71	787

Error

13.7b

Counts

787 → 71

Alt Table

Click to see full alt table

Status	Error	Program
	16.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1/3 b) a))
	35.6b	(-.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)))
	20.9b	(-.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)))
	49.1b	(pow.f64 (pow.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 3) 1/3)
	19.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 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))))) (/.f64 a (*.f64 b 3)))
	21.5b	(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))
	40.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (log.f64 (pow.f64 (exp.f64 1/3) t))))) (/.f64 a (.f64 b 3)))
✓	24.7b	(-.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)))
▶	28.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 1/3 t)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 a 3) b)) 3))
	20.1b	(-.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)))
	20.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))))) (/.f64 a (.f64 b 3)))
	40.6b	(sqrt.f64 (pow.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 2))
	27.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (.f64 z 1/3)))) (/.f64 a (*.f64 b 3)))
	28.1b	(-.f64 (exp.f64 (log.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) (/.f64 a (*.f64 b 3)))
	24.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (pow.f64 (cbrt.f64 (.f64 (.f64 z (sin.f64 y)) (.f64 t 1/3))) 3))) (/.f64 a (.f64 b 3)))
	26.5b	(-.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 2 (sqrt.f64 x)) 3) (pow.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) 3))) (/.f64 a (.f64 b 3)))
	20.1b	(-.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)))
	27.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (.f64 z (.f64 1/3 t))) 2))) (/.f64 a (*.f64 b 3)))
	36.5b	(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))
	27.9b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (.f64 -1/3 (.f64 t z)))) (/.f64 (.f64 a -1/3) b))
	20.7b	(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2))) (/.f64 a (*.f64 b 3)))
	20.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 z (/.f64 1 (/.f64 3 t)))))) (/.f64 a (.f64 b 3)))
	38.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (exp.f64 (log.f64 (/.f64 (/.f64 a 3) b))))
	16.8b	(fma.f64 (.f64 (cos.f64 y) (cbrt.f64 (.f64 x 4))) (cbrt.f64 (.f64 2 (sqrt.f64 x))) (.f64 a (neg.f64 (/.f64 1/3 b))))
	25.1b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (.f64 2 (fma.f64 (.f64 z (.f64 (sin.f64 y) t)) 1/3 (cos.f64 y))))) 3) (/.f64 a (*.f64 b 3)))
	34.3b	(/.f64 -1/3 (/.f64 b a))
	26.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 z (sin.f64 y)) (.f64 t 1/3)))) 1))) (/.f64 a (.f64 b 3)))
	21.0b	(-.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)))
	40.1b	(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 (sqrt.f64 x) (+.f64 2 (.f64 y (-.f64 (.f64 (*.f64 t z) 2/3) y)))))
	27.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z)))) (/.f64 a (*.f64 b 3)))
	41.9b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (pow.f64 (exp.f64 (log.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))))) 3))
	35.7b	(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 a (*.f64 b 3)))
	36.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (exp.f64 (log.f64 (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
	23.3b	(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
	52.5b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (exp.f64 (log.f64 (.f64 t -1/3))) y))) (/.f64 (*.f64 a -1/3) b))
	20.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 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)))))) (/.f64 a (.f64 b 3)))
	20.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 z 3) t)))) (/.f64 a (.f64 b 3)))
	36.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (sqrt.f64 (.f64 1/3 t)) 2)))) (/.f64 a (*.f64 b 3)))
	25.0b	(-.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)))
	20.1b	(-.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)))))) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
	24.7b	(-.f64 (+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))) (/.f64 a (*.f64 b 3)))
	22.6b	(-.f64 (expm1.f64 (log1p.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) (/.f64 a (*.f64 b 3)))
	25.4b	(fma.f64 (sqrt.f64 x) (.f64 2 (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2))) (pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 3))
	27.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 z (.f64 1/3 t)))) 3)) (/.f64 a (*.f64 b 3)))
	41.2b	(-.f64 (.f64 t (.f64 (sqrt.f64 x) (.f64 (.f64 2/3 (sin.f64 y)) z))) (/.f64 a (*.f64 b 3)))
	21.2b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x)))) 3) (/.f64 a (.f64 b 3)))
	28.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (cbrt.f64 (.f64 1/3 t)) 3)))) (/.f64 a (*.f64 b 3)))
	22.4b	(-.f64 (cbrt.f64 (.f64 8 (pow.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) 3))) (/.f64 a (*.f64 b 3)))
▶	16.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 (/.f64 a 3) b) 1))
▶	34.3b	(*.f64 -1/3 (/.f64 a b))
	33.3b	(-.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)))
	24.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (.f64 1/3 (+.f64 0 (.f64 z (.f64 (sin.f64 y) t)))))) (/.f64 a (.f64 b 3)))
	39.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (pow.f64 (.f64 1/3 t) 3) 1/3)))) (/.f64 a (*.f64 b 3)))
✓	27.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 1/3 t)))) (/.f64 a (*.f64 b 3)))
	34.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (expm1.f64 (log1p.f64 (.f64 z (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
	17.3b	(pow.f64 (cbrt.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))) 3)
	62.3b	(.f64 (sin.f64 y) (.f64 (.f64 t z) (.f64 (sqrt.f64 x) 2/3)))
	27.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 (.f64 z (.f64 1/3 t))) 3))) (/.f64 a (*.f64 b 3)))
▶	20.7b	(-.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)))
	16.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1 b) (/.f64 a 3)))
	16.7b	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 (.f64 2 (sqrt.f64 x)))) (sqrt.f64 (.f64 2 (sqrt.f64 x))) (.f64 a (neg.f64 (/.f64 1/3 b))))
	16.6b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)) (/.f64 (.f64 a -1/3) b))
	62.2b	(.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
	27.7b	(.f64 (-.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2)) (/.f64 (pow.f64 (/.f64 a b) 2) 9)) (/.f64 1 (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 1/3 b)))))
	27.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (+.f64 1 (cos.f64 (.f64 z (.f64 1/3 t)))) 1)) (/.f64 a (*.f64 b 3)))
	21.0b	(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))
	19.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
	61.8b	(log.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))))
	36.0b	(-.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)))
▶	45.9b	(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))) (sqrt.f64 x)))
	27.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 1/3 t))) 3))) (/.f64 a (*.f64 b 3)))

Compiler

Compiled 3827 to 2945 computations (23% saved)

localize72.0ms (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 (/.f64 (/.f64 a 3) b) 1))
	0.2b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
✓	0.2b	(/.f64 (/.f64 a 3) b)

Compiler

Compiled 58 to 35 computations (39.7% saved)

series6.0ms (0%)

Counts

2 → 61

Calls

18 calls:

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

rewrite166.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 218

Calls

Call 1

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

Outputs

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

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

simplify72.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

279 → 235

Calls

Call 1

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

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

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 10 computations (41.2% saved)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 z (sin.f64 y))
	0.2b	(.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))
✓	1.8b	(.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) (sqrt.f64 x))
	2.9b	(.f64 t (.f64 z (sin.f64 y)))

Compiler

Compiled 77 to 28 computations (63.6% saved)

series9.0ms (0%)

Counts

2 → 32

Calls

18 calls:

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

rewrite237.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

756×	`log-prod_binary64`
379×	`pow2_binary64`
314×	`pow-unpow_binary64`
298×	`fma-def_binary64`
268×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	28
1	290	26
2	3749	26

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

Outputs

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

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

simplify193.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

790×	`sqr-pow_binary64`
638×	`*-commutative_binary64`
570×	`cube-prod_binary64`
405×	`pow-sqr_binary64`
309×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	54	715
1	150	651
2	466	589
3	1723	583
4	2616	583
5	3058	583
6	3423	583
7	3680	583
8	3967	583
9	4128	583
10	4417	583
11	4780	583
12	5234	583
13	5830	583
14	6611	583
15	7658	583

Stop Event

1×	node limit

Counts

86 → 74

Calls

Call 1

Inputs
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (.f64 1/3 (.f64 (.f64 y (.f64 t z)) (sqrt.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (sqrt.f64 x) (.f64 1/3 (.f64 (.f64 y (.f64 t z)) (sqrt.f64 x)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 -1/18 (.f64 (.f64 (pow.f64 y 3) (.f64 t z)) (sqrt.f64 x))) (+.f64 (sqrt.f64 x) (.f64 1/3 (.f64 (.f64 y (.f64 t z)) (sqrt.f64 x))))))
(*.f64 (cos.f64 y) (sqrt.f64 x))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))))
(.f64 1/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))))
(.f64 1/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))))
(*.f64 (cos.f64 y) (sqrt.f64 x))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))))
(.f64 1/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))))
(.f64 1/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))))
(*.f64 y z)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) z)) (.f64 1/120 (*.f64 (pow.f64 y 5) z)))))

Outputs
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (.f64 1/3 (.f64 (.f64 y (.f64 t z)) (sqrt.f64 x))))
(+.f64 (sqrt.f64 x) (.f64 1/3 (.f64 (sqrt.f64 x) (.f64 y (.f64 t z)))))
(fma.f64 (.f64 (.f64 1/3 y) (*.f64 t z)) (sqrt.f64 x) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 t (*.f64 y z)) 1))
(.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 y (*.f64 t z)) 1))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (sqrt.f64 x) (.f64 1/3 (.f64 (.f64 y (.f64 t z)) (sqrt.f64 x)))))
(fma.f64 -1/2 (.f64 (sqrt.f64 x) (.f64 y y)) (+.f64 (sqrt.f64 x) (.f64 1/3 (.f64 (sqrt.f64 x) (.f64 y (.f64 t z))))))
(fma.f64 -1/2 (.f64 (sqrt.f64 x) (.f64 y y)) (fma.f64 (.f64 (.f64 1/3 y) (*.f64 t z)) (sqrt.f64 x) (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (+.f64 (fma.f64 1/3 (.f64 t (.f64 y z)) 1) (.f64 -1/2 (*.f64 y y))))
(.f64 (sqrt.f64 x) (+.f64 1 (.f64 y (+.f64 (.f64 1/3 (.f64 t z)) (*.f64 y -1/2)))))
(.f64 (sqrt.f64 x) (+.f64 1 (.f64 y (+.f64 (.f64 y -1/2) (.f64 1/3 (*.f64 t z))))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 -1/18 (.f64 (.f64 (pow.f64 y 3) (.f64 t z)) (sqrt.f64 x))) (+.f64 (sqrt.f64 x) (.f64 1/3 (.f64 (.f64 y (.f64 t z)) (sqrt.f64 x))))))
(fma.f64 -1/2 (.f64 (sqrt.f64 x) (.f64 y y)) (fma.f64 -1/18 (.f64 (sqrt.f64 x) (.f64 (.f64 t z) (pow.f64 y 3))) (+.f64 (sqrt.f64 x) (.f64 1/3 (.f64 (sqrt.f64 x) (.f64 y (*.f64 t z)))))))
(+.f64 (fma.f64 (.f64 (.f64 1/3 y) (.f64 t z)) (sqrt.f64 x) (sqrt.f64 x)) (.f64 (sqrt.f64 x) (+.f64 (.f64 -1/2 (.f64 y y)) (.f64 -1/18 (.f64 t (*.f64 z (pow.f64 y 3)))))))
(+.f64 (.f64 (sqrt.f64 x) (fma.f64 -1/2 (.f64 y y) 1)) (.f64 (.f64 (sqrt.f64 x) (.f64 t z)) (+.f64 (.f64 1/3 y) (*.f64 -1/18 (pow.f64 y 3)))))
(.f64 (sqrt.f64 x) (+.f64 (fma.f64 -1/2 (.f64 y y) 1) (.f64 (.f64 t z) (+.f64 (.f64 1/3 y) (.f64 -1/18 (pow.f64 y 3))))))
(.f64 (sqrt.f64 x) (+.f64 (fma.f64 -1/2 (.f64 y y) 1) (.f64 z (.f64 (.f64 y t) (+.f64 1/3 (.f64 (*.f64 y y) -1/18))))))
(*.f64 (cos.f64 y) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (cos.f64 y))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))))
(fma.f64 (cos.f64 y) (sqrt.f64 x) (.f64 1/3 (.f64 (sqrt.f64 x) (.f64 t (.f64 z (sin.f64 y))))))
(.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 (.f64 t z) (sin.f64 y)))))
(.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))) (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))))
(fma.f64 (cos.f64 y) (sqrt.f64 x) (.f64 1/3 (.f64 (sqrt.f64 x) (.f64 t (.f64 z (sin.f64 y))))))
(.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 (.f64 t z) (sin.f64 y)))))
(.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))) (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))))
(fma.f64 (cos.f64 y) (sqrt.f64 x) (.f64 1/3 (.f64 (sqrt.f64 x) (.f64 t (.f64 z (sin.f64 y))))))
(.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 (.f64 t z) (sin.f64 y)))))
(.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))) (cos.f64 y)))
(.f64 1/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
(.f64 1/3 (.f64 (sqrt.f64 x) (.f64 t (.f64 z (sin.f64 y)))))
(.f64 (.f64 (.f64 t z) (sin.f64 y)) (.f64 (sqrt.f64 x) 1/3))
(.f64 (sqrt.f64 x) (.f64 t (.f64 1/3 (.f64 z (sin.f64 y)))))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))))
(fma.f64 (cos.f64 y) (sqrt.f64 x) (.f64 1/3 (.f64 (sqrt.f64 x) (.f64 t (.f64 z (sin.f64 y))))))
(.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 (.f64 t z) (sin.f64 y)))))
(.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))) (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))))
(fma.f64 (cos.f64 y) (sqrt.f64 x) (.f64 1/3 (.f64 (sqrt.f64 x) (.f64 t (.f64 z (sin.f64 y))))))
(.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 (.f64 t z) (sin.f64 y)))))
(.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))) (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))))
(fma.f64 (cos.f64 y) (sqrt.f64 x) (.f64 1/3 (.f64 (sqrt.f64 x) (.f64 t (.f64 z (sin.f64 y))))))
(.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 (.f64 t z) (sin.f64 y)))))
(.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))) (cos.f64 y)))
(.f64 1/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
(.f64 1/3 (.f64 (sqrt.f64 x) (.f64 t (.f64 z (sin.f64 y)))))
(.f64 (.f64 (.f64 t z) (sin.f64 y)) (.f64 (sqrt.f64 x) 1/3))
(.f64 (sqrt.f64 x) (.f64 t (.f64 1/3 (.f64 z (sin.f64 y)))))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))))
(fma.f64 (cos.f64 y) (sqrt.f64 x) (.f64 1/3 (.f64 (sqrt.f64 x) (.f64 t (.f64 z (sin.f64 y))))))
(.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 (.f64 t z) (sin.f64 y)))))
(.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))) (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))))
(fma.f64 (cos.f64 y) (sqrt.f64 x) (.f64 1/3 (.f64 (sqrt.f64 x) (.f64 t (.f64 z (sin.f64 y))))))
(.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 (.f64 t z) (sin.f64 y)))))
(.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))) (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))))
(fma.f64 (cos.f64 y) (sqrt.f64 x) (.f64 1/3 (.f64 (sqrt.f64 x) (.f64 t (.f64 z (sin.f64 y))))))
(.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 (.f64 t z) (sin.f64 y)))))
(.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))) (cos.f64 y)))
(*.f64 (cos.f64 y) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (cos.f64 y))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))))
(fma.f64 (cos.f64 y) (sqrt.f64 x) (.f64 1/3 (.f64 (sqrt.f64 x) (.f64 t (.f64 z (sin.f64 y))))))
(.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 (.f64 t z) (sin.f64 y)))))
(.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))) (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))))
(fma.f64 (cos.f64 y) (sqrt.f64 x) (.f64 1/3 (.f64 (sqrt.f64 x) (.f64 t (.f64 z (sin.f64 y))))))
(.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 (.f64 t z) (sin.f64 y)))))
(.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))) (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))))
(fma.f64 (cos.f64 y) (sqrt.f64 x) (.f64 1/3 (.f64 (sqrt.f64 x) (.f64 t (.f64 z (sin.f64 y))))))
(.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 (.f64 t z) (sin.f64 y)))))
(.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))) (cos.f64 y)))
(.f64 1/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
(.f64 1/3 (.f64 (sqrt.f64 x) (.f64 t (.f64 z (sin.f64 y)))))
(.f64 (.f64 (.f64 t z) (sin.f64 y)) (.f64 (sqrt.f64 x) 1/3))
(.f64 (sqrt.f64 x) (.f64 t (.f64 1/3 (.f64 z (sin.f64 y)))))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))))
(fma.f64 (cos.f64 y) (sqrt.f64 x) (.f64 1/3 (.f64 (sqrt.f64 x) (.f64 t (.f64 z (sin.f64 y))))))
(.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 (.f64 t z) (sin.f64 y)))))
(.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))) (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))))
(fma.f64 (cos.f64 y) (sqrt.f64 x) (.f64 1/3 (.f64 (sqrt.f64 x) (.f64 t (.f64 z (sin.f64 y))))))
(.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 (.f64 t z) (sin.f64 y)))))
(.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))) (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))))
(fma.f64 (cos.f64 y) (sqrt.f64 x) (.f64 1/3 (.f64 (sqrt.f64 x) (.f64 t (.f64 z (sin.f64 y))))))
(.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 (.f64 t z) (sin.f64 y)))))
(.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))) (cos.f64 y)))
(.f64 1/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
(.f64 1/3 (.f64 (sqrt.f64 x) (.f64 t (.f64 z (sin.f64 y)))))
(.f64 (.f64 (.f64 t z) (sin.f64 y)) (.f64 (sqrt.f64 x) 1/3))
(.f64 (sqrt.f64 x) (.f64 t (.f64 1/3 (.f64 z (sin.f64 y)))))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))))
(fma.f64 (cos.f64 y) (sqrt.f64 x) (.f64 1/3 (.f64 (sqrt.f64 x) (.f64 t (.f64 z (sin.f64 y))))))
(.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 (.f64 t z) (sin.f64 y)))))
(.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))) (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))))
(fma.f64 (cos.f64 y) (sqrt.f64 x) (.f64 1/3 (.f64 (sqrt.f64 x) (.f64 t (.f64 z (sin.f64 y))))))
(.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 (.f64 t z) (sin.f64 y)))))
(.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))) (cos.f64 y)))
(+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))))
(fma.f64 (cos.f64 y) (sqrt.f64 x) (.f64 1/3 (.f64 (sqrt.f64 x) (.f64 t (.f64 z (sin.f64 y))))))
(.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 (.f64 t z) (sin.f64 y)))))
(.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))) (cos.f64 y)))
(*.f64 y z)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (.f64 y z))
(.f64 z (+.f64 y (.f64 (pow.f64 y 3) -1/6)))
(*.f64 z (fma.f64 (pow.f64 y 3) -1/6 y))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (fma.f64 y z (.f64 1/120 (*.f64 z (pow.f64 y 5)))))
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (.f64 z (+.f64 y (*.f64 1/120 (pow.f64 y 5)))))
(.f64 z (+.f64 (.f64 (pow.f64 y 3) -1/6) (fma.f64 1/120 (pow.f64 y 5) y)))
(.f64 z (+.f64 (.f64 1/120 (pow.f64 y 5)) (fma.f64 (pow.f64 y 3) -1/6 y)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) z)) (.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (fma.f64 y z (fma.f64 -1/5040 (.f64 z (pow.f64 y 7)) (.f64 1/120 (.f64 z (pow.f64 y 5))))))
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (fma.f64 y z (.f64 z (+.f64 (.f64 -1/5040 (pow.f64 y 7)) (.f64 1/120 (pow.f64 y 5))))))
(.f64 z (+.f64 (fma.f64 (pow.f64 y 3) -1/6 y) (fma.f64 1/120 (pow.f64 y 5) (.f64 -1/5040 (pow.f64 y 7)))))
(.f64 z (+.f64 (fma.f64 1/120 (pow.f64 y 5) (.f64 -1/5040 (pow.f64 y 7))) (fma.f64 (pow.f64 y 3) -1/6 y)))

localize82.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 1/3 t)
✓	0.6b	(pow.f64 (cbrt.f64 (/.f64 (/.f64 a 3) b)) 3)
✓	9.2b	(cbrt.f64 (/.f64 (/.f64 a 3) b))
	27.6b	(cos.f64 (.f64 z (.f64 1/3 t)))

Compiler

Compiled 87 to 57 computations (34.5% saved)

series9.0ms (0%)

Counts

2 → 0

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	b	@	-inf	(cbrt.f64 (/.f64 (/.f64 a 3) b))
1.0ms	b	@	inf	(pow.f64 (cbrt.f64 (/.f64 (/.f64 a 3) b)) 3)
1.0ms	a	@	0	(pow.f64 (cbrt.f64 (/.f64 (/.f64 a 3) b)) 3)
1.0ms	a	@	inf	(pow.f64 (cbrt.f64 (/.f64 (/.f64 a 3) b)) 3)
1.0ms	b	@	-inf	(pow.f64 (cbrt.f64 (/.f64 (/.f64 a 3) b)) 3)

rewrite70.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

825×	`pow1_binary64`
780×	`add-log-exp_binary64`
780×	`log1p-expm1-u_binary64`
780×	`expm1-log1p-u_binary64`
763×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	182	16
2	2135	16

Stop Event

1×	node limit

Counts

2 → 93

Calls

Call 1

Inputs
(cbrt.f64 (/.f64 (/.f64 a 3) b))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 a 3) b)) 3)

Outputs

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

simplify18.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

93 → 93

Calls

Call 1

Inputs

Outputs

localize52.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (cbrt.f64 (.f64 z t)) 1/3)
✓	0.5b	(pow.f64 (cbrt.f64 (*.f64 z t)) 2)
✓	21.0b	(cbrt.f64 (*.f64 z t))
✓	23.5b	(cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (cbrt.f64 (.f64 z t)) 1/3))))

Compiler

Compiled 140 to 65 computations (53.6% saved)

series16.0ms (0.1%)

Counts

4 → 36

Calls

27 calls:

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

rewrite95.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

868×	`prod-diff_binary64`
673×	`log-prod_binary64`
286×	`fma-def_binary64`
244×	`expm1-udef_binary64`
244×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	36
1	283	36
2	3549	34

Stop Event

1×	node limit

Counts

4 → 118

Calls

Call 1

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

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

simplify82.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

638×	`fma-neg_binary64`
533×	`unswap-sqr_binary64`
526×	`distribute-lft-out_binary64`
384×	`cancel-sign-sub-inv_binary64`
350×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	641
1	185	566
2	538	545
3	2216	537
4	4456	537

Stop Event

1×	node limit

Counts

154 → 138

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))))

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

eval372.0ms (1.1%)

Compiler: Compiled 17959 to 10851 computations (39.6% saved)

prune483.0ms (1.5%)

Pruning

95 alts after pruning (89 fresh and 6 done)

	Pruned	Kept	Total
New	641	42	683
Fresh	17	47	64
Picked	0	1	1
Done	1	5	6
Total	659	95	754

Error

13.5b

Counts

754 → 95

Alt Table

Click to see full alt table

Status	Error	Program
	62.2b	(.f64 2 (.f64 (sqrt.f64 x) (.f64 t (.f64 1/3 (*.f64 z (sin.f64 y))))))
	16.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1/3 b) a))
	57.9b	(pow.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3) 1/3)
	35.6b	(-.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)))
	20.9b	(-.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)))
	49.1b	(pow.f64 (pow.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 3) 1/3)
▶	16.6b	(fma.f64 (.f64 (cos.f64 y) 2) (sqrt.f64 x) (/.f64 (.f64 a -1/3) b))
	34.3b	(/.f64 a (/.f64 b -1/3))
	19.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 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))))) (/.f64 a (*.f64 b 3)))
	35.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 z t) 1/6) 2) 2) (.f64 (cbrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
	46.2b	(.f64 2 (pow.f64 (cbrt.f64 (.f64 (fma.f64 1/3 (.f64 z (.f64 (sin.f64 y) t)) (cos.f64 y)) (sqrt.f64 x))) 3))
	21.5b	(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))
	40.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (log.f64 (pow.f64 (exp.f64 1/3) t))))) (/.f64 a (.f64 b 3)))
✓	24.7b	(-.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)))
	35.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (exp.f64 (.f64 (log.f64 (.f64 z t)) 1/3)) 1/3))))) (/.f64 a (.f64 b 3)))
	33.3b	(-.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)))
✓	28.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 1/3 t)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 a 3) b)) 3))
	36.4b	(-.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)))
	25.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (.f64 (cbrt.f64 (.f64 z z)) (pow.f64 (cbrt.f64 t) 2)) (.f64 (cbrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (.f64 b 3)))
	40.6b	(sqrt.f64 (pow.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 2))
	35.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (pow.f64 (.f64 z t) 1/3) 2) (.f64 (cbrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
	27.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (.f64 z 1/3)))) (/.f64 a (*.f64 b 3)))
	28.1b	(-.f64 (exp.f64 (log.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) (/.f64 a (*.f64 b 3)))
	27.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (.f64 z (.f64 1/3 t))) 2))) (/.f64 a (*.f64 b 3)))
	35.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (pow.f64 (pow.f64 (.f64 z t) 1/6) 2) 1/3))))) (/.f64 a (*.f64 b 3)))
	21.0b	(-.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)))
	26.5b	(-.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 2 (sqrt.f64 x)) 3) (pow.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) 3))) (/.f64 a (.f64 b 3)))
	20.1b	(-.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)))
	54.8b	(.f64 2 (-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 1/3 (.f64 z (.f64 (sin.f64 y) t)) (cos.f64 y)) (sqrt.f64 x)))) 1))
▶	27.9b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (.f64 -1/3 (.f64 t z)))) (/.f64 (.f64 a -1/3) b))
	20.7b	(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2))) (/.f64 a (*.f64 b 3)))
	20.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 z (/.f64 1 (/.f64 3 t)))))) (/.f64 a (.f64 b 3)))
	20.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 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)))))) (/.f64 a (.f64 b 3)))
	45.9b	(.f64 2 (.f64 (+.f64 (cos.f64 y) (pow.f64 (cbrt.f64 (.f64 (.f64 z (sin.f64 y)) (*.f64 t 1/3))) 3)) (sqrt.f64 x)))
	38.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (exp.f64 (log.f64 (/.f64 (/.f64 a 3) b))))
▶	25.1b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (.f64 2 (fma.f64 (.f64 z (.f64 (sin.f64 y) t)) 1/3 (cos.f64 y))))) 3) (/.f64 a (*.f64 b 3)))
▶	34.3b	(/.f64 -1/3 (/.f64 b a))
	26.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (expm1.f64 (log1p.f64 (.f64 (cbrt.f64 (.f64 z t)) 1/3))))))) (/.f64 a (*.f64 b 3)))
	45.9b	(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (+.f64 0 (.f64 z (*.f64 (sin.f64 y) t))))) (sqrt.f64 x)))
	35.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (pow.f64 (.f64 z t) 1/3) 1/3))))) (/.f64 a (*.f64 b 3)))
	27.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z)))) (/.f64 a (*.f64 b 3)))
	41.9b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (pow.f64 (exp.f64 (log.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))))) 3))
	50.8b	(*.f64 2 (sqrt.f64 x))
	35.7b	(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 a (*.f64 b 3)))
	36.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (exp.f64 (log.f64 (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
	16.8b	(fma.f64 (.f64 (cos.f64 y) (cbrt.f64 (.f64 x 4))) (cbrt.f64 (sqrt.f64 (.f64 x 4))) (/.f64 (.f64 a -1/3) b))
	28.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 1/3 t)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 a (*.f64 3 b)))) 3) 3))
	23.3b	(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
	20.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 z 3) t)))) (/.f64 a (.f64 b 3)))
	49.6b	(pow.f64 (sqrt.f64 (*.f64 -1/3 (/.f64 a b))) 2)
	28.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (.f64 (.f64 t z) (+.f64 (.f64 1/3 (sin.f64 y)) (.f64 (.f64 t z) (.f64 (cos.f64 y) -1/18)))))) (/.f64 a (*.f64 b 3)))
	36.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (sqrt.f64 (.f64 1/3 t)) 2)))) (/.f64 a (*.f64 b 3)))
	25.0b	(-.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)))
	24.7b	(-.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 (pow.f64 (.f64 z (.f64 t 1/3)) 2)) (.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 (pow.f64 (.f64 z (.f64 t 1/3)) 2)) (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
▶	24.7b	(-.f64 (+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))) (/.f64 a (*.f64 b 3)))
	28.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (.f64 z (.f64 1/3 t))) 2))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 a 3) b)) 3))
	20.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (cbrt.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 z 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)))))) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
	22.6b	(-.f64 (expm1.f64 (log1p.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) (/.f64 a (*.f64 b 3)))
	53.3b	(.f64 2 (.f64 (sqrt.f64 x) (+.f64 1 (.f64 y (+.f64 (.f64 y -1/2) (.f64 1/3 (.f64 t z)))))))
	20.8b	(-.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)))
	27.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 z (.f64 1/3 t)))) 3)) (/.f64 a (*.f64 b 3)))
	41.2b	(-.f64 (.f64 t (.f64 (sqrt.f64 x) (.f64 (.f64 2/3 (sin.f64 y)) z))) (/.f64 a (*.f64 b 3)))
	23.3b	(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 (/.f64 a 3) b) 1))
	21.2b	(-.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)))
	21.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))))))) (/.f64 a (*.f64 b 3)))
	28.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (cbrt.f64 (.f64 1/3 t)) 3)))) (/.f64 a (*.f64 b 3)))
	22.4b	(-.f64 (cbrt.f64 (.f64 8 (pow.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) 3))) (/.f64 a (*.f64 b 3)))
	20.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))) (cbrt.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))))) (cbrt.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))))) (/.f64 a (.f64 b 3)))
	27.6b	(.f64 (-.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x 4)) (pow.f64 (/.f64 (.f64 a 1/3) b) 2)) (/.f64 1 (fma.f64 (sqrt.f64 (.f64 x 4)) (cos.f64 y) (/.f64 (.f64 a 1/3) b))))
	27.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 1/3 t))) 3))) (/.f64 a (*.f64 b 3)))
	44.7b	(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
✓	34.3b	(*.f64 -1/3 (/.f64 a b))
	27.6b	(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x 4)) (.f64 (/.f64 (.f64 a -1/3) b) (/.f64 (.f64 a -1/3) b))) (-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (/.f64 (.f64 a -1/3) b)))
	39.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (pow.f64 (.f64 1/3 t) 3) 1/3)))) (/.f64 a (*.f64 b 3)))
✓	27.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 1/3 t)))) (/.f64 a (*.f64 b 3)))
	34.7b	(pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 3)
	20.8b	(-.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)))
	20.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2))) (.f64 (cbrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
	34.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (expm1.f64 (log1p.f64 (.f64 z (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
	17.3b	(pow.f64 (cbrt.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))) 3)
	62.3b	(.f64 (sin.f64 y) (.f64 (.f64 t z) (.f64 (sqrt.f64 x) 2/3)))
	27.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 (.f64 z (.f64 1/3 t))) 3))) (/.f64 a (*.f64 b 3)))
✓	20.7b	(-.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)))
	20.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))))) (/.f64 a (.f64 b 3)))
	16.6b	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 (sqrt.f64 (.f64 x 4)))) (sqrt.f64 (sqrt.f64 (.f64 x 4))) (/.f64 (.f64 a -1/3) b))
	19.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
	35.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (.f64 (sqrt.f64 (.f64 z t)) (pow.f64 (.f64 z t) 1/6)) (.f64 (cbrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
	27.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (+.f64 1 (cos.f64 (.f64 z (.f64 1/3 t)))) 1)) (/.f64 a (*.f64 b 3)))
	21.0b	(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))
	20.8b	(-.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)))
	61.8b	(log.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))))
	36.0b	(-.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)))
✓	45.9b	(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))) (sqrt.f64 x)))
	62.2b	(.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))

Compiler

Compiled 5343 to 4051 computations (24.2% saved)

localize18.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 40 to 23 computations (42.5% saved)

series8.0ms (0%)

Counts

1 → 37

Calls

12 calls:

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

rewrite67.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

636×	`log-prod_binary64`
387×	`prod-diff_binary64`
361×	`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 (.f64 (cos.f64 y) 2) (sqrt.f64 x) (/.f64 (.f64 a -1/3) b))

Outputs

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

simplify75.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

762×	`fma-def_binary64`
433×	`*-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	7464	622

Stop Event

1×	node limit

Counts

67 → 43

Calls

Call 1

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.7b	(/.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	a	@	-inf	(/.f64 -1/3 (/.f64 b a))
0.0ms	b	@	-inf	(/.f64 -1/3 (/.f64 b a))
0.0ms	b	@	inf	(/.f64 -1/3 (/.f64 b a))
0.0ms	a	@	inf	(/.f64 -1/3 (/.f64 b a))

rewrite83.0ms (0.3%)

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%)

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))

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 (*.f64 a -1/3) b)
✓	0.3b	(.f64 -1/3 (.f64 t z))
	0.3b	(*.f64 a -1/3)
✓	27.6b	(cos.f64 (.f64 -1/3 (.f64 t z)))

Compiler

Compiled 61 to 34 computations (44.3% saved)

series4.0ms (0%)

Counts

2 → 8

Calls

12 calls:

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

rewrite78.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

650×	`pow1_binary64`
598×	`add-log-exp_binary64`
598×	`log1p-expm1-u_binary64`
598×	`expm1-log1p-u_binary64`
586×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	16
1	140	16
2	1619	16

Stop Event

1×	node limit

Counts

2 → 27

Calls

Call 1

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

Outputs

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

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

simplify213.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	28	176
1	71	172
2	197	168
3	866	164
4	2162	152
5	2671	146
6	2982	128
7	3207	128
8	3451	128
9	3771	128
10	4199	128
11	4718	128
12	5345	128
13	5607	128
14	5829	128
15	5997	128
16	6141	128
17	6255	128
18	7038	128
19	7906	128

Stop Event

1×	node limit

Counts

35 → 34

Calls

Call 1

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

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

localize51.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
	0.2b	(/.f64 a (*.f64 b 3))
	2.9b	(.f64 t (.f64 z (sin.f64 y)))
✓	4.6b	(.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))

Compiler

Compiled 115 to 39 computations (66.1% saved)

series31.0ms (0.1%)

Counts

2 → 8

Calls

24 calls:

Time	Variable		Point	Expression
17.0ms	x	@	0	(.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
1.0ms	x	@	-inf	(.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
1.0ms	x	@	-inf	(.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))
1.0ms	x	@	0	(.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))
1.0ms	t	@	0	(.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))

rewrite78.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

652×	`log-prod_binary64`
452×	`pow-prod-down_binary64`
311×	`pow-unpow_binary64`
310×	`pow2_binary64`
221×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	242	31
2	2914	31

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

Inputs
(.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))
(.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))

Outputs

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

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

simplify154.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

852×	`distribute-rgt-out_binary64`
849×	`distribute-rgt-in_binary64`
752×	`distribute-lft-in_binary64`
559×	`distribute-lft-out_binary64`
450×	`+-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	324
1	137	304
2	492	240
3	2557	216
4	4932	216
5	5092	216
6	5195	216
7	5311	216
8	5533	216
9	6019	216
10	7566	216

Stop Event

1×	node limit

Counts

50 → 58

Calls

Call 1

Inputs
(.f64 (.f64 y (*.f64 t z)) (sqrt.f64 x))
(+.f64 (.f64 -1/6 (.f64 (.f64 (pow.f64 y 3) (.f64 t z)) (sqrt.f64 x))) (.f64 (.f64 y (*.f64 t z)) (sqrt.f64 x)))
(+.f64 (.f64 -1/6 (.f64 (.f64 (pow.f64 y 3) (.f64 t z)) (sqrt.f64 x))) (+.f64 (.f64 1/120 (.f64 (.f64 (pow.f64 y 5) (.f64 t z)) (sqrt.f64 x))) (.f64 (.f64 y (*.f64 t z)) (sqrt.f64 x))))
(+.f64 (.f64 -1/6 (.f64 (.f64 (pow.f64 y 3) (.f64 t z)) (sqrt.f64 x))) (+.f64 (.f64 -1/5040 (.f64 (.f64 (pow.f64 y 7) (.f64 t z)) (sqrt.f64 x))) (+.f64 (.f64 1/120 (.f64 (.f64 (pow.f64 y 5) (.f64 t z)) (sqrt.f64 x))) (.f64 (.f64 y (*.f64 t z)) (sqrt.f64 x)))))
(.f64 2/3 (.f64 (.f64 y (.f64 t z)) (sqrt.f64 x)))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 y 3) (.f64 t z)) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 y (.f64 t z)) (sqrt.f64 x))))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 y 3) (.f64 t z)) (sqrt.f64 x))) (+.f64 (.f64 1/180 (.f64 (.f64 (pow.f64 y 5) (.f64 t z)) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 y (.f64 t z)) (sqrt.f64 x)))))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 y 3) (.f64 t z)) (sqrt.f64 x))) (+.f64 (.f64 1/180 (.f64 (.f64 (pow.f64 y 5) (.f64 t z)) (sqrt.f64 x))) (+.f64 (.f64 2/3 (.f64 (.f64 y (.f64 t z)) (sqrt.f64 x))) (.f64 -1/7560 (.f64 (.f64 (pow.f64 y 7) (.f64 t z)) (sqrt.f64 x))))))

Outputs
(.f64 (.f64 y (*.f64 t z)) (sqrt.f64 x))
(.f64 y (.f64 (*.f64 t z) (sqrt.f64 x)))
(.f64 y (.f64 t (*.f64 z (sqrt.f64 x))))
(.f64 y (.f64 z (*.f64 t (sqrt.f64 x))))
(+.f64 (.f64 -1/6 (.f64 (.f64 (pow.f64 y 3) (.f64 t z)) (sqrt.f64 x))) (.f64 (.f64 y (*.f64 t z)) (sqrt.f64 x)))
(fma.f64 -1/6 (.f64 (sqrt.f64 x) (.f64 (.f64 t z) (pow.f64 y 3))) (.f64 (.f64 y (.f64 t z)) (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (+.f64 (.f64 z (.f64 y t)) (.f64 -1/6 (.f64 z (.f64 t (pow.f64 y 3))))))
(.f64 (.f64 t (.f64 z (sqrt.f64 x))) (+.f64 (.f64 -1/6 (pow.f64 y 3)) y))
(.f64 (.f64 (.f64 t z) (sqrt.f64 x)) (+.f64 y (.f64 -1/6 (pow.f64 y 3))))
(.f64 (.f64 t z) (.f64 (sqrt.f64 x) (+.f64 y (.f64 -1/6 (pow.f64 y 3)))))
(+.f64 (.f64 -1/6 (.f64 (.f64 (pow.f64 y 3) (.f64 t z)) (sqrt.f64 x))) (+.f64 (.f64 1/120 (.f64 (.f64 (pow.f64 y 5) (.f64 t z)) (sqrt.f64 x))) (.f64 (.f64 y (*.f64 t z)) (sqrt.f64 x))))
(fma.f64 -1/6 (.f64 (sqrt.f64 x) (.f64 (.f64 t z) (pow.f64 y 3))) (fma.f64 1/120 (.f64 (sqrt.f64 x) (.f64 (.f64 t z) (pow.f64 y 5))) (.f64 (.f64 y (*.f64 t z)) (sqrt.f64 x))))
(fma.f64 -1/6 (.f64 (pow.f64 y 3) (.f64 (.f64 t z) (sqrt.f64 x))) (.f64 (sqrt.f64 x) (+.f64 (.f64 z (.f64 y t)) (.f64 1/120 (.f64 t (*.f64 z (pow.f64 y 5)))))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 t z) (+.f64 (.f64 -1/6 (pow.f64 y 3)) y)) (.f64 1/120 (.f64 t (*.f64 z (pow.f64 y 5))))))
(.f64 (.f64 (.f64 t z) (sqrt.f64 x)) (+.f64 (+.f64 y (.f64 -1/6 (pow.f64 y 3))) (*.f64 1/120 (pow.f64 y 5))))
(.f64 (.f64 (.f64 t z) (sqrt.f64 x)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))))
(.f64 (sqrt.f64 x) (.f64 (.f64 t z) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))))
(+.f64 (.f64 -1/6 (.f64 (.f64 (pow.f64 y 3) (.f64 t z)) (sqrt.f64 x))) (+.f64 (.f64 -1/5040 (.f64 (.f64 (pow.f64 y 7) (.f64 t z)) (sqrt.f64 x))) (+.f64 (.f64 1/120 (.f64 (.f64 (pow.f64 y 5) (.f64 t z)) (sqrt.f64 x))) (.f64 (.f64 y (*.f64 t z)) (sqrt.f64 x)))))
(fma.f64 -1/6 (.f64 (sqrt.f64 x) (.f64 (.f64 t z) (pow.f64 y 3))) (fma.f64 -1/5040 (.f64 (sqrt.f64 x) (.f64 (.f64 t z) (pow.f64 y 7))) (fma.f64 1/120 (.f64 (sqrt.f64 x) (.f64 (.f64 t z) (pow.f64 y 5))) (.f64 (.f64 y (.f64 t z)) (sqrt.f64 x)))))
(+.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 -1/5040 (.f64 z (.f64 t (pow.f64 y 7)))) (.f64 1/120 (.f64 t (.f64 z (pow.f64 y 5)))))) (.f64 (sqrt.f64 x) (+.f64 (.f64 z (.f64 y t)) (.f64 -1/6 (.f64 z (*.f64 t (pow.f64 y 3)))))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 t z) (+.f64 y (.f64 1/120 (pow.f64 y 5)))) (.f64 (.f64 t z) (+.f64 (.f64 -1/6 (pow.f64 y 3)) (.f64 -1/5040 (pow.f64 y 7))))))
(.f64 (sqrt.f64 x) (.f64 (.f64 t z) (+.f64 (+.f64 y (.f64 1/120 (pow.f64 y 5))) (+.f64 (.f64 -1/6 (pow.f64 y 3)) (.f64 -1/5040 (pow.f64 y 7))))))
(.f64 (sqrt.f64 x) (.f64 (.f64 t z) (+.f64 y (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 (.f64 -1/6 (pow.f64 y 3)) (.f64 -1/5040 (pow.f64 y 7)))))))
(.f64 (sqrt.f64 x) (.f64 (.f64 t z) (+.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) (.f64 -1/5040 (pow.f64 y 7))) (+.f64 y (.f64 1/120 (pow.f64 y 5))))))
(.f64 2/3 (.f64 (.f64 y (.f64 t z)) (sqrt.f64 x)))
(.f64 (.f64 (.f64 y (.f64 t z)) (sqrt.f64 x)) 2/3)
(.f64 y (.f64 (.f64 (.f64 t z) (sqrt.f64 x)) 2/3))
(.f64 (.f64 z (.f64 y t)) (.f64 (sqrt.f64 x) 2/3))
(.f64 y (.f64 (sqrt.f64 x) (.f64 (.f64 2/3 t) z)))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 y 3) (.f64 t z)) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 y (.f64 t z)) (sqrt.f64 x))))
(fma.f64 -1/9 (.f64 (sqrt.f64 x) (.f64 (.f64 t z) (pow.f64 y 3))) (.f64 (.f64 (.f64 y (*.f64 t z)) (sqrt.f64 x)) 2/3))
(.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 z (.f64 y t)) 2/3) (.f64 (.f64 z (*.f64 t (pow.f64 y 3))) -1/9)))
(.f64 (sqrt.f64 x) (.f64 (.f64 t z) (+.f64 (.f64 y 2/3) (*.f64 (pow.f64 y 3) -1/9))))
(.f64 (.f64 y (.f64 (.f64 t z) (sqrt.f64 x))) (+.f64 2/3 (.f64 -1/9 (.f64 y y))))
(.f64 (.f64 t z) (.f64 (sqrt.f64 x) (+.f64 (.f64 (pow.f64 y 3) -1/9) (*.f64 y 2/3))))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 y 3) (.f64 t z)) (sqrt.f64 x))) (+.f64 (.f64 1/180 (.f64 (.f64 (pow.f64 y 5) (.f64 t z)) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 y (.f64 t z)) (sqrt.f64 x)))))
(fma.f64 -1/9 (.f64 (sqrt.f64 x) (.f64 (.f64 t z) (pow.f64 y 3))) (fma.f64 1/180 (.f64 (sqrt.f64 x) (.f64 (.f64 t z) (pow.f64 y 5))) (.f64 (.f64 (.f64 y (.f64 t z)) (sqrt.f64 x)) 2/3)))
(fma.f64 (.f64 (pow.f64 y 3) (.f64 (.f64 t z) (sqrt.f64 x))) -1/9 (.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 z (.f64 y t)) 2/3) (.f64 (.f64 1/180 (.f64 t z)) (pow.f64 y 5)))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 z (.f64 2/3 (.f64 y t))) (.f64 (.f64 t z) (+.f64 (.f64 (pow.f64 y 3) -1/9) (.f64 (pow.f64 y 5) 1/180)))))
(.f64 (.f64 (.f64 t z) (sqrt.f64 x)) (+.f64 (+.f64 (.f64 (pow.f64 y 5) 1/180) (.f64 y 2/3)) (.f64 (pow.f64 y 3) -1/9)))
(.f64 (.f64 (.f64 t z) (sqrt.f64 x)) (+.f64 (.f64 (pow.f64 y 3) -1/9) (+.f64 (.f64 (pow.f64 y 5) 1/180) (.f64 y 2/3))))
(.f64 (.f64 z (.f64 t (sqrt.f64 x))) (+.f64 (.f64 (pow.f64 y 5) 1/180) (+.f64 (.f64 (pow.f64 y 3) -1/9) (.f64 y 2/3))))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 y 3) (.f64 t z)) (sqrt.f64 x))) (+.f64 (.f64 1/180 (.f64 (.f64 (pow.f64 y 5) (.f64 t z)) (sqrt.f64 x))) (+.f64 (.f64 2/3 (.f64 (.f64 y (.f64 t z)) (sqrt.f64 x))) (.f64 -1/7560 (.f64 (.f64 (pow.f64 y 7) (.f64 t z)) (sqrt.f64 x))))))
(fma.f64 -1/9 (.f64 (sqrt.f64 x) (.f64 (.f64 t z) (pow.f64 y 3))) (fma.f64 1/180 (.f64 (sqrt.f64 x) (.f64 (.f64 t z) (pow.f64 y 5))) (fma.f64 2/3 (.f64 (.f64 y (.f64 t z)) (sqrt.f64 x)) (.f64 (.f64 (sqrt.f64 x) (.f64 (*.f64 t z) (pow.f64 y 7))) -1/7560))))
(+.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 z (.f64 y t)) 2/3) (.f64 (.f64 z (.f64 t (pow.f64 y 7))) -1/7560))) (.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 z (.f64 t (pow.f64 y 3))) -1/9) (.f64 (.f64 1/180 (.f64 t z)) (pow.f64 y 5)))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 t z) (+.f64 (.f64 y 2/3) (.f64 (pow.f64 y 7) -1/7560))) (.f64 (.f64 t z) (+.f64 (.f64 (pow.f64 y 3) -1/9) (*.f64 (pow.f64 y 5) 1/180)))))
(.f64 (.f64 (.f64 t z) (sqrt.f64 x)) (+.f64 (+.f64 (.f64 (pow.f64 y 5) 1/180) (.f64 y 2/3)) (+.f64 (.f64 (pow.f64 y 3) -1/9) (*.f64 (pow.f64 y 7) -1/7560))))
(.f64 (sqrt.f64 x) (.f64 (.f64 t z) (+.f64 (.f64 (pow.f64 y 3) -1/9) (+.f64 (.f64 y 2/3) (+.f64 (.f64 (pow.f64 y 7) -1/7560) (*.f64 (pow.f64 y 5) 1/180))))))
(.f64 (sqrt.f64 x) (.f64 (.f64 t z) (+.f64 (.f64 (pow.f64 y 7) -1/7560) (+.f64 (.f64 (pow.f64 y 5) 1/180) (+.f64 (.f64 (pow.f64 y 3) -1/9) (*.f64 y 2/3))))))

localize115.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (.f64 2 (fma.f64 (.f64 z (.f64 (sin.f64 y) t)) 1/3 (cos.f64 y))))) 3)
✓	1.8b	(.f64 z (.f64 (sin.f64 y) t))
✓	1.8b	(.f64 (sqrt.f64 x) (.f64 2 (fma.f64 (.f64 z (.f64 (sin.f64 y) t)) 1/3 (cos.f64 y))))
✓	7.0b	(cbrt.f64 (.f64 (sqrt.f64 x) (.f64 2 (fma.f64 (.f64 z (.f64 (sin.f64 y) t)) 1/3 (cos.f64 y)))))

Compiler

Compiled 134 to 56 computations (58.2% saved)

series318.0ms (1%)

Counts

4 → 136

Calls

45 calls:

Time	Variable		Point	Expression
105.0ms	y	@	inf	(cbrt.f64 (.f64 (sqrt.f64 x) (.f64 2 (fma.f64 (.f64 z (.f64 (sin.f64 y) t)) 1/3 (cos.f64 y)))))
72.0ms	x	@	0	(cbrt.f64 (.f64 (sqrt.f64 x) (.f64 2 (fma.f64 (.f64 z (.f64 (sin.f64 y) t)) 1/3 (cos.f64 y)))))
18.0ms	x	@	inf	(cbrt.f64 (.f64 (sqrt.f64 x) (.f64 2 (fma.f64 (.f64 z (.f64 (sin.f64 y) t)) 1/3 (cos.f64 y)))))
12.0ms	x	@	0	(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (.f64 2 (fma.f64 (.f64 z (.f64 (sin.f64 y) t)) 1/3 (cos.f64 y))))) 3)
10.0ms	t	@	inf	(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (.f64 2 (fma.f64 (.f64 z (.f64 (sin.f64 y) t)) 1/3 (cos.f64 y))))) 3)

rewrite138.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

815×	`log-prod_binary64`
417×	`pow2_binary64`
331×	`pow-unpow_binary64`
293×	`pow1/3_binary64`
292×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	80
1	368	80
2	4000	80

Stop Event

1×	node limit

Counts

4 → 120

Calls

Call 1

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

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

simplify369.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

580×	`associate-+l+_binary64`
542×	`associate-+r+_binary64`
519×	`distribute-rgt-in_binary64`
517×	`distribute-lft-in_binary64`
515×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	383	5797
1	1402	5308
2	3305	5202
3	7714	5196

Stop Event

1×	node limit

Counts

256 → 171

Calls

Call 1

Inputs
(.f64 (pow.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) 1/3) (.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (pow.f64 x 1/6))))
(.f64 (pow.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) 1/3) (.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (pow.f64 x 1/6))))
(.f64 (pow.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) 1/3) (.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (pow.f64 x 1/6))))
(.f64 (pow.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) 1/3) (.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (pow.f64 x 1/6))))
(.f64 (pow.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) 1/3) (.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (pow.f64 x 1/6))))
(.f64 (pow.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) 1/3) (.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (pow.f64 x 1/6))))
(.f64 (pow.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) 1/3) (.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (pow.f64 x 1/6))))
(.f64 (pow.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) 1/3) (.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (pow.f64 x 1/6))))
(.f64 (pow.f64 (.f64 -1 x) 1/6) (.f64 (pow.f64 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) (.f64 (sqrt.f64 -1) 1)) 1/3) (cbrt.f64 2)))
(.f64 (pow.f64 (.f64 -1 x) 1/6) (.f64 (pow.f64 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) (.f64 (sqrt.f64 -1) 1)) 1/3) (cbrt.f64 2)))
(.f64 (pow.f64 (.f64 -1 x) 1/6) (.f64 (pow.f64 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) (.f64 (sqrt.f64 -1) 1)) 1/3) (cbrt.f64 2)))
(.f64 (pow.f64 (.f64 -1 x) 1/6) (.f64 (pow.f64 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) (.f64 (sqrt.f64 -1) 1)) 1/3) (cbrt.f64 2)))
(.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (*.f64 (pow.f64 (cos.f64 y) 1/3) (pow.f64 x 1/6))))
(+.f64 (.f64 1/9 (.f64 (pow.f64 (pow.f64 1 11) 1/18) (.f64 (.f64 (cbrt.f64 2) (.f64 t (.f64 z (sin.f64 y)))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 2)) 1/9) (pow.f64 x 1/6))))) (.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (.f64 (pow.f64 (cos.f64 y) 1/3) (pow.f64 x 1/6)))))
(+.f64 (.f64 1/9 (.f64 (pow.f64 (pow.f64 1 11) 1/18) (.f64 (.f64 (cbrt.f64 2) (.f64 t (.f64 z (sin.f64 y)))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 2)) 1/9) (pow.f64 x 1/6))))) (+.f64 (.f64 -1/81 (.f64 (pow.f64 (pow.f64 1 11) 1/18) (.f64 (.f64 (cbrt.f64 2) (.f64 (pow.f64 t 2) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 7)) 1/9) (pow.f64 x 1/6))))) (.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (*.f64 (pow.f64 (cos.f64 y) 1/3) (pow.f64 x 1/6))))))
(+.f64 (.f64 1/9 (.f64 (pow.f64 (pow.f64 1 11) 1/18) (.f64 (.f64 (cbrt.f64 2) (.f64 t (.f64 z (sin.f64 y)))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 2)) 1/9) (pow.f64 x 1/6))))) (+.f64 (.f64 -1/3 (.f64 (sqrt.f64 1) (.f64 (.f64 (cbrt.f64 2) (.f64 (+.f64 (.f64 -2/243 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (.f64 (pow.f64 t 3) (pow.f64 (sin.f64 y) 3)) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3)))) (.f64 1/729 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) (.f64 (pow.f64 t 3) (pow.f64 (sin.f64 y) 3))))) (pow.f64 z 3))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) (pow.f64 x 1/6))))) (+.f64 (.f64 -1/81 (.f64 (pow.f64 (pow.f64 1 11) 1/18) (.f64 (.f64 (cbrt.f64 2) (.f64 (pow.f64 t 2) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 7)) 1/9) (pow.f64 x 1/6))))) (.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (.f64 (pow.f64 (cos.f64 y) 1/3) (pow.f64 x 1/6)))))))
(.f64 (pow.f64 (.f64 1 x) 1/6) (cbrt.f64 2))
(+.f64 (.f64 1/9 (.f64 (pow.f64 (.f64 1 x) 1/6) (.f64 (cbrt.f64 2) (.f64 y (.f64 t z))))) (.f64 (pow.f64 (.f64 1 x) 1/6) (cbrt.f64 2)))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 1 x) 1/6) (.f64 (cbrt.f64 2) (.f64 (pow.f64 y 2) (+.f64 1/2 (.f64 1/27 (.f64 (pow.f64 t 2) (pow.f64 z 2)))))))) (+.f64 (.f64 1/9 (.f64 (pow.f64 (.f64 1 x) 1/6) (.f64 (cbrt.f64 2) (.f64 y (.f64 t z))))) (.f64 (pow.f64 (*.f64 1 x) 1/6) (cbrt.f64 2))))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 1 x) 1/6) (.f64 (cbrt.f64 2) (.f64 (pow.f64 y 2) (+.f64 1/2 (.f64 1/27 (.f64 (pow.f64 t 2) (pow.f64 z 2)))))))) (+.f64 (.f64 1/9 (.f64 (pow.f64 (.f64 1 x) 1/6) (.f64 (cbrt.f64 2) (.f64 y (.f64 t z))))) (+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 -1/18 (.f64 t z)) (+.f64 (.f64 -2/9 (.f64 t (.f64 z (+.f64 1/2 (.f64 1/27 (.f64 (pow.f64 t 2) (pow.f64 z 2))))))) (.f64 1/729 (.f64 (pow.f64 t 3) (pow.f64 z 3))))) (.f64 (pow.f64 y 3) (cbrt.f64 2))) (pow.f64 (.f64 1 x) 1/6))) (.f64 (pow.f64 (*.f64 1 x) 1/6) (cbrt.f64 2)))))
(.f64 (pow.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) 1/3) (.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (pow.f64 x 1/6))))
(.f64 (pow.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) 1/3) (.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (pow.f64 x 1/6))))
(.f64 (pow.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) 1/3) (.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (pow.f64 x 1/6))))
(.f64 (pow.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) 1/3) (.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (pow.f64 x 1/6))))
(.f64 (pow.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) 1/3) (.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (pow.f64 x 1/6))))
(.f64 (pow.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) 1/3) (.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (pow.f64 x 1/6))))
(.f64 (pow.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) 1/3) (.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (pow.f64 x 1/6))))
(.f64 (pow.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) 1/3) (.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (pow.f64 x 1/6))))
(.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (*.f64 (pow.f64 (cos.f64 y) 1/3) (pow.f64 x 1/6))))
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(+.f64 (.f64 (+.f64 (.f64 2/9 (.f64 (.f64 t z) (sqrt.f64 x))) (.f64 4/9 (.f64 (.f64 t z) (sqrt.f64 x)))) y) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -2/3 (.f64 (sqrt.f64 x) (+.f64 1/2 (.f64 1/27 (.f64 (pow.f64 t 2) (pow.f64 z 2)))))) (+.f64 (.f64 4/81 (.f64 (.f64 (pow.f64 t 2) (pow.f64 z 2)) (sqrt.f64 x))) (.f64 (pow.f64 (.f64 1 x) 1/6) (.f64 (cbrt.f64 2) (+.f64 (.f64 1/81 (.f64 (pow.f64 (.f64 1 x) 1/3) (.f64 (pow.f64 (cbrt.f64 2) 2) (.f64 (pow.f64 t 2) (pow.f64 z 2))))) (.f64 -2/3 (.f64 (pow.f64 (.f64 1 x) 1/3) (.f64 (pow.f64 (cbrt.f64 2) 2) (+.f64 1/2 (.f64 1/27 (.f64 (pow.f64 t 2) (pow.f64 z 2))))))))))))) (+.f64 (.f64 2 (sqrt.f64 x)) (.f64 (pow.f64 y 3) (+.f64 (.f64 2/3 (.f64 (-.f64 (.f64 -1/18 (.f64 t z)) (+.f64 (.f64 -2/9 (.f64 t (.f64 z (+.f64 1/2 (.f64 1/27 (.f64 (pow.f64 t 2) (pow.f64 z 2))))))) (.f64 1/729 (.f64 (pow.f64 t 3) (pow.f64 z 3))))) (sqrt.f64 x))) (+.f64 (.f64 -4/27 (.f64 (.f64 t (.f64 z (+.f64 1/2 (.f64 1/27 (.f64 (pow.f64 t 2) (pow.f64 z 2)))))) (sqrt.f64 x))) (+.f64 (.f64 (pow.f64 (.f64 1 x) 1/6) (.f64 (cbrt.f64 2) (+.f64 (.f64 -2/27 (.f64 (pow.f64 (.f64 1 x) 1/3) (.f64 (pow.f64 (cbrt.f64 2) 2) (.f64 t (.f64 z (+.f64 1/2 (.f64 1/27 (.f64 (pow.f64 t 2) (pow.f64 z 2))))))))) (.f64 2/3 (.f64 (.f64 (-.f64 (.f64 -1/18 (.f64 t z)) (+.f64 (.f64 -2/9 (.f64 t (.f64 z (+.f64 1/2 (.f64 1/27 (.f64 (pow.f64 t 2) (pow.f64 z 2))))))) (.f64 1/729 (.f64 (pow.f64 t 3) (pow.f64 z 3))))) (pow.f64 (cbrt.f64 2) 2)) (pow.f64 (.f64 1 x) 1/3)))))) (.f64 1/9 (.f64 (pow.f64 (.f64 1 x) 1/6) (.f64 (cbrt.f64 2) (.f64 t (.f64 (+.f64 (.f64 1/81 (.f64 (pow.f64 (.f64 1 x) 1/3) (.f64 (pow.f64 (cbrt.f64 2) 2) (.f64 (pow.f64 t 2) (pow.f64 z 2))))) (.f64 -2/3 (.f64 (pow.f64 (.f64 1 x) 1/3) (.f64 (pow.f64 (cbrt.f64 2) 2) (+.f64 1/2 (.f64 1/27 (*.f64 (pow.f64 t 2) (pow.f64 z 2)))))))) z))))))))))))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) (.f64 (pow.f64 1 1/3) (sqrt.f64 x))))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) (.f64 (pow.f64 1 1/3) (sqrt.f64 x))))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) (.f64 (pow.f64 1 1/3) (sqrt.f64 x))))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) (.f64 (pow.f64 1 1/3) (sqrt.f64 x))))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) (.f64 (pow.f64 1 1/3) (sqrt.f64 x))))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) (.f64 (pow.f64 1 1/3) (sqrt.f64 x))))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) (.f64 (pow.f64 1 1/3) (sqrt.f64 x))))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) (.f64 (pow.f64 1 1/3) (sqrt.f64 x))))
(.f64 2 (.f64 (pow.f64 1 1/6) (*.f64 (cos.f64 y) (sqrt.f64 x))))
(+.f64 (.f64 2 (.f64 (pow.f64 1 1/6) (.f64 (cos.f64 y) (sqrt.f64 x)))) (.f64 t (+.f64 (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 5) 1/18) (.f64 (pow.f64 (pow.f64 (cos.f64 y) 4) 1/9) (.f64 (.f64 z (sin.f64 y)) (sqrt.f64 x))))) (.f64 4/9 (.f64 (pow.f64 (pow.f64 1 5) 1/18) (.f64 (pow.f64 (pow.f64 (cos.f64 y) 4) 1/9) (.f64 (.f64 z (sin.f64 y)) (sqrt.f64 x))))))))
(+.f64 (.f64 (+.f64 (.f64 (sqrt.f64 1) (.f64 (.f64 (+.f64 (.f64 1/81 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (cos.f64 y) 4)) 1/9) (.f64 (.f64 (pow.f64 (cbrt.f64 2) 2) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (pow.f64 x 1/3)))) (.f64 -2/81 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (cos.f64 y) 4)) 1/9) (.f64 (.f64 (pow.f64 (cbrt.f64 2) 2) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (pow.f64 x 1/3))))) (cbrt.f64 2)) (.f64 (pow.f64 (cos.f64 y) 1/3) (pow.f64 x 1/6)))) (+.f64 (.f64 4/81 (.f64 (pow.f64 (pow.f64 1 5) 1/18) (.f64 (pow.f64 (/.f64 1 (cos.f64 y)) 1/9) (.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (sqrt.f64 x))))) (.f64 -2/81 (.f64 (pow.f64 (pow.f64 1 5) 1/18) (.f64 (pow.f64 (/.f64 1 (cos.f64 y)) 1/9) (.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (sqrt.f64 x))))))) (pow.f64 t 2)) (+.f64 (.f64 2 (.f64 (pow.f64 1 1/6) (.f64 (cos.f64 y) (sqrt.f64 x)))) (.f64 t (+.f64 (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 5) 1/18) (.f64 (pow.f64 (pow.f64 (cos.f64 y) 4) 1/9) (.f64 (.f64 z (sin.f64 y)) (sqrt.f64 x))))) (.f64 4/9 (.f64 (pow.f64 (pow.f64 1 5) 1/18) (.f64 (pow.f64 (pow.f64 (cos.f64 y) 4) 1/9) (.f64 (*.f64 z (sin.f64 y)) (sqrt.f64 x)))))))))
(+.f64 (.f64 (+.f64 (.f64 (sqrt.f64 1) (.f64 (.f64 (+.f64 (.f64 1/81 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (cos.f64 y) 4)) 1/9) (.f64 (.f64 (pow.f64 (cbrt.f64 2) 2) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (pow.f64 x 1/3)))) (.f64 -2/81 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (cos.f64 y) 4)) 1/9) (.f64 (.f64 (pow.f64 (cbrt.f64 2) 2) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (pow.f64 x 1/3))))) (cbrt.f64 2)) (.f64 (pow.f64 (cos.f64 y) 1/3) (pow.f64 x 1/6)))) (+.f64 (.f64 4/81 (.f64 (pow.f64 (pow.f64 1 5) 1/18) (.f64 (pow.f64 (/.f64 1 (cos.f64 y)) 1/9) (.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (sqrt.f64 x))))) (.f64 -2/81 (.f64 (pow.f64 (pow.f64 1 5) 1/18) (.f64 (pow.f64 (/.f64 1 (cos.f64 y)) 1/9) (.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (sqrt.f64 x))))))) (pow.f64 t 2)) (+.f64 (.f64 2 (.f64 (pow.f64 1 1/6) (.f64 (cos.f64 y) (sqrt.f64 x)))) (+.f64 (.f64 t (+.f64 (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 5) 1/18) (.f64 (pow.f64 (pow.f64 (cos.f64 y) 4) 1/9) (.f64 (.f64 z (sin.f64 y)) (sqrt.f64 x))))) (.f64 4/9 (.f64 (pow.f64 (pow.f64 1 5) 1/18) (.f64 (pow.f64 (pow.f64 (cos.f64 y) 4) 1/9) (.f64 (.f64 z (sin.f64 y)) (sqrt.f64 x))))))) (.f64 (+.f64 (.f64 1/9 (.f64 (.f64 (+.f64 (.f64 1/81 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (cos.f64 y) 4)) 1/9) (.f64 (.f64 (pow.f64 (cbrt.f64 2) 2) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (pow.f64 x 1/3)))) (.f64 -2/81 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (cos.f64 y) 4)) 1/9) (.f64 (.f64 (pow.f64 (cbrt.f64 2) 2) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (pow.f64 x 1/3))))) (.f64 (cbrt.f64 2) (.f64 z (sin.f64 y)))) (.f64 (pow.f64 (pow.f64 1 11) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 2)) 1/9) (pow.f64 x 1/6))))) (+.f64 (.f64 -2/3 (.f64 (pow.f64 1 1/6) (.f64 (+.f64 (.f64 1/729 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))) (.f64 -2/243 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))) (sqrt.f64 x)))) (+.f64 (.f64 -4/729 (.f64 (pow.f64 (pow.f64 1 7) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) (.f64 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (sqrt.f64 x))))) (.f64 (sqrt.f64 1) (.f64 (.f64 (cbrt.f64 2) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 (.f64 1 x) (cos.f64 y)) 1/3) (.f64 (pow.f64 (cbrt.f64 2) 2) (+.f64 (.f64 1/729 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))) (.f64 -2/243 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))))))) (.f64 -2/729 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 2) 2) (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))) (cos.f64 y)) (pow.f64 x 1/3)))))) (.f64 (pow.f64 (cos.f64 y) 1/3) (pow.f64 x 1/6))))))) (pow.f64 t 3)))))

Outputs
(.f64 (pow.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) 1/3) (.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (pow.f64 x 1/6))))
(.f64 (cbrt.f64 (+.f64 (cos.f64 y) (.f64 (.f64 1/3 t) (.f64 z (sin.f64 y))))) (*.f64 (cbrt.f64 2) (pow.f64 x 1/6)))
(.f64 (cbrt.f64 (fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (cos.f64 y))) (.f64 (cbrt.f64 2) (pow.f64 x 1/6)))
(.f64 (cbrt.f64 (fma.f64 1/3 (.f64 (sin.f64 y) (.f64 t z)) (cos.f64 y))) (.f64 (cbrt.f64 2) (pow.f64 x 1/6)))
(.f64 (pow.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) 1/3) (.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (pow.f64 x 1/6))))
(.f64 (cbrt.f64 (+.f64 (cos.f64 y) (.f64 (.f64 1/3 t) (.f64 z (sin.f64 y))))) (*.f64 (cbrt.f64 2) (pow.f64 x 1/6)))
(.f64 (cbrt.f64 (fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (cos.f64 y))) (.f64 (cbrt.f64 2) (pow.f64 x 1/6)))
(.f64 (cbrt.f64 (fma.f64 1/3 (.f64 (sin.f64 y) (.f64 t z)) (cos.f64 y))) (.f64 (cbrt.f64 2) (pow.f64 x 1/6)))
(.f64 (pow.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) 1/3) (.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (pow.f64 x 1/6))))
(.f64 (cbrt.f64 (+.f64 (cos.f64 y) (.f64 (.f64 1/3 t) (.f64 z (sin.f64 y))))) (*.f64 (cbrt.f64 2) (pow.f64 x 1/6)))
(.f64 (cbrt.f64 (fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (cos.f64 y))) (.f64 (cbrt.f64 2) (pow.f64 x 1/6)))
(.f64 (cbrt.f64 (fma.f64 1/3 (.f64 (sin.f64 y) (.f64 t z)) (cos.f64 y))) (.f64 (cbrt.f64 2) (pow.f64 x 1/6)))
(.f64 (pow.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) 1/3) (.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (pow.f64 x 1/6))))
(.f64 (cbrt.f64 (+.f64 (cos.f64 y) (.f64 (.f64 1/3 t) (.f64 z (sin.f64 y))))) (*.f64 (cbrt.f64 2) (pow.f64 x 1/6)))
(.f64 (cbrt.f64 (fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (cos.f64 y))) (.f64 (cbrt.f64 2) (pow.f64 x 1/6)))
(.f64 (cbrt.f64 (fma.f64 1/3 (.f64 (sin.f64 y) (.f64 t z)) (cos.f64 y))) (.f64 (cbrt.f64 2) (pow.f64 x 1/6)))
(.f64 (pow.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) 1/3) (.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (pow.f64 x 1/6))))
(.f64 (cbrt.f64 (+.f64 (cos.f64 y) (.f64 (.f64 1/3 t) (.f64 z (sin.f64 y))))) (*.f64 (cbrt.f64 2) (pow.f64 x 1/6)))
(.f64 (cbrt.f64 (fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (cos.f64 y))) (.f64 (cbrt.f64 2) (pow.f64 x 1/6)))
(.f64 (cbrt.f64 (fma.f64 1/3 (.f64 (sin.f64 y) (.f64 t z)) (cos.f64 y))) (.f64 (cbrt.f64 2) (pow.f64 x 1/6)))
(.f64 (pow.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) 1/3) (.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (pow.f64 x 1/6))))
(.f64 (cbrt.f64 (+.f64 (cos.f64 y) (.f64 (.f64 1/3 t) (.f64 z (sin.f64 y))))) (*.f64 (cbrt.f64 2) (pow.f64 x 1/6)))
(.f64 (cbrt.f64 (fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (cos.f64 y))) (.f64 (cbrt.f64 2) (pow.f64 x 1/6)))
(.f64 (cbrt.f64 (fma.f64 1/3 (.f64 (sin.f64 y) (.f64 t z)) (cos.f64 y))) (.f64 (cbrt.f64 2) (pow.f64 x 1/6)))
(.f64 (pow.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) 1/3) (.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (pow.f64 x 1/6))))
(.f64 (cbrt.f64 (+.f64 (cos.f64 y) (.f64 (.f64 1/3 t) (.f64 z (sin.f64 y))))) (*.f64 (cbrt.f64 2) (pow.f64 x 1/6)))
(.f64 (cbrt.f64 (fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (cos.f64 y))) (.f64 (cbrt.f64 2) (pow.f64 x 1/6)))
(.f64 (cbrt.f64 (fma.f64 1/3 (.f64 (sin.f64 y) (.f64 t z)) (cos.f64 y))) (.f64 (cbrt.f64 2) (pow.f64 x 1/6)))
(.f64 (pow.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) 1/3) (.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (pow.f64 x 1/6))))
(.f64 (cbrt.f64 (+.f64 (cos.f64 y) (.f64 (.f64 1/3 t) (.f64 z (sin.f64 y))))) (*.f64 (cbrt.f64 2) (pow.f64 x 1/6)))
(.f64 (cbrt.f64 (fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (cos.f64 y))) (.f64 (cbrt.f64 2) (pow.f64 x 1/6)))
(.f64 (cbrt.f64 (fma.f64 1/3 (.f64 (sin.f64 y) (.f64 t z)) (cos.f64 y))) (.f64 (cbrt.f64 2) (pow.f64 x 1/6)))
(.f64 (pow.f64 (.f64 -1 x) 1/6) (.f64 (pow.f64 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) (.f64 (sqrt.f64 -1) 1)) 1/3) (cbrt.f64 2)))
(.f64 (pow.f64 (neg.f64 x) 1/6) (.f64 (cbrt.f64 2) (cbrt.f64 (.f64 (+.f64 (cos.f64 y) (.f64 (.f64 1/3 t) (.f64 z (sin.f64 y)))) (sqrt.f64 -1)))))
(.f64 (pow.f64 (neg.f64 x) 1/6) (.f64 (cbrt.f64 2) (cbrt.f64 (.f64 (fma.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))) (cos.f64 y)) (sqrt.f64 -1)))))
(.f64 (cbrt.f64 2) (.f64 (pow.f64 (neg.f64 x) 1/6) (cbrt.f64 (.f64 (fma.f64 1/3 (.f64 (sin.f64 y) (*.f64 t z)) (cos.f64 y)) (sqrt.f64 -1)))))
(.f64 (pow.f64 (.f64 -1 x) 1/6) (.f64 (pow.f64 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) (.f64 (sqrt.f64 -1) 1)) 1/3) (cbrt.f64 2)))
(.f64 (pow.f64 (neg.f64 x) 1/6) (.f64 (cbrt.f64 2) (cbrt.f64 (.f64 (+.f64 (cos.f64 y) (.f64 (.f64 1/3 t) (.f64 z (sin.f64 y)))) (sqrt.f64 -1)))))
(.f64 (pow.f64 (neg.f64 x) 1/6) (.f64 (cbrt.f64 2) (cbrt.f64 (.f64 (fma.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))) (cos.f64 y)) (sqrt.f64 -1)))))
(.f64 (cbrt.f64 2) (.f64 (pow.f64 (neg.f64 x) 1/6) (cbrt.f64 (.f64 (fma.f64 1/3 (.f64 (sin.f64 y) (*.f64 t z)) (cos.f64 y)) (sqrt.f64 -1)))))
(.f64 (pow.f64 (.f64 -1 x) 1/6) (.f64 (pow.f64 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) (.f64 (sqrt.f64 -1) 1)) 1/3) (cbrt.f64 2)))
(.f64 (pow.f64 (neg.f64 x) 1/6) (.f64 (cbrt.f64 2) (cbrt.f64 (.f64 (+.f64 (cos.f64 y) (.f64 (.f64 1/3 t) (.f64 z (sin.f64 y)))) (sqrt.f64 -1)))))
(.f64 (pow.f64 (neg.f64 x) 1/6) (.f64 (cbrt.f64 2) (cbrt.f64 (.f64 (fma.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))) (cos.f64 y)) (sqrt.f64 -1)))))
(.f64 (cbrt.f64 2) (.f64 (pow.f64 (neg.f64 x) 1/6) (cbrt.f64 (.f64 (fma.f64 1/3 (.f64 (sin.f64 y) (*.f64 t z)) (cos.f64 y)) (sqrt.f64 -1)))))
(.f64 (pow.f64 (.f64 -1 x) 1/6) (.f64 (pow.f64 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))) (.f64 (sqrt.f64 -1) 1)) 1/3) (cbrt.f64 2)))
(.f64 (pow.f64 (neg.f64 x) 1/6) (.f64 (cbrt.f64 2) (cbrt.f64 (.f64 (+.f64 (cos.f64 y) (.f64 (.f64 1/3 t) (.f64 z (sin.f64 y)))) (sqrt.f64 -1)))))
(.f64 (pow.f64 (neg.f64 x) 1/6) (.f64 (cbrt.f64 2) (cbrt.f64 (.f64 (fma.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))) (cos.f64 y)) (sqrt.f64 -1)))))
(.f64 (cbrt.f64 2) (.f64 (pow.f64 (neg.f64 x) 1/6) (cbrt.f64 (.f64 (fma.f64 1/3 (.f64 (sin.f64 y) (*.f64 t z)) (cos.f64 y)) (sqrt.f64 -1)))))
(.f64 (sqrt.f64 1) (.f64 (cbrt.f64 2) (*.f64 (pow.f64 (cos.f64 y) 1/3) (pow.f64 x 1/6))))
(.f64 (cbrt.f64 2) (.f64 (pow.f64 x 1/6) (cbrt.f64 (cos.f64 y))))
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(+.f64 (.f64 (+.f64 (.f64 (sqrt.f64 1) (.f64 (.f64 (+.f64 (.f64 1/81 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (cos.f64 y) 4)) 1/9) (.f64 (.f64 (pow.f64 (cbrt.f64 2) 2) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (pow.f64 x 1/3)))) (.f64 -2/81 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (cos.f64 y) 4)) 1/9) (.f64 (.f64 (pow.f64 (cbrt.f64 2) 2) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (pow.f64 x 1/3))))) (cbrt.f64 2)) (.f64 (pow.f64 (cos.f64 y) 1/3) (pow.f64 x 1/6)))) (+.f64 (.f64 4/81 (.f64 (pow.f64 (pow.f64 1 5) 1/18) (.f64 (pow.f64 (/.f64 1 (cos.f64 y)) 1/9) (.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (sqrt.f64 x))))) (.f64 -2/81 (.f64 (pow.f64 (pow.f64 1 5) 1/18) (.f64 (pow.f64 (/.f64 1 (cos.f64 y)) 1/9) (.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (sqrt.f64 x))))))) (pow.f64 t 2)) (+.f64 (.f64 2 (.f64 (pow.f64 1 1/6) (.f64 (cos.f64 y) (sqrt.f64 x)))) (.f64 t (+.f64 (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 5) 1/18) (.f64 (pow.f64 (pow.f64 (cos.f64 y) 4) 1/9) (.f64 (.f64 z (sin.f64 y)) (sqrt.f64 x))))) (.f64 4/9 (.f64 (pow.f64 (pow.f64 1 5) 1/18) (.f64 (pow.f64 (pow.f64 (cos.f64 y) 4) 1/9) (.f64 (*.f64 z (sin.f64 y)) (sqrt.f64 x)))))))))
(fma.f64 (+.f64 (.f64 (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 4)) 1/18)) (.f64 (pow.f64 (cbrt.f64 2) 2) (.f64 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2)) (cbrt.f64 x)))) -1/81) (.f64 (cbrt.f64 2) (.f64 (pow.f64 x 1/6) (cbrt.f64 (cos.f64 y))))) (.f64 (.f64 (.f64 1 (.f64 (pow.f64 (/.f64 1 (cos.f64 y)) 1/18) (pow.f64 (/.f64 1 (cos.f64 y)) 1/18))) (.f64 (.f64 z z) (.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 x)))) 2/81)) (.f64 t t) (+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 t (.f64 (.f64 1 (.f64 (.f64 (pow.f64 (pow.f64 (cos.f64 y) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 y) 4) 1/18)) (.f64 z (*.f64 (sin.f64 y) (sqrt.f64 x))))) 2/3))))
(fma.f64 (.f64 t t) (fma.f64 (.f64 -1/81 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 4)) 1/18)) (.f64 (pow.f64 (cbrt.f64 2) 2) (.f64 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2)) (cbrt.f64 x))))) (.f64 (cbrt.f64 2) (.f64 (pow.f64 x 1/6) (cbrt.f64 (cos.f64 y)))) (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (cos.f64 y)) 1/18) (pow.f64 (/.f64 1 (cos.f64 y)) 1/18)) (.f64 (.f64 z z) (.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 x)))) 2/81)) (fma.f64 t (.f64 2/3 (.f64 (sqrt.f64 x) (.f64 (.f64 z (sin.f64 y)) (.f64 (pow.f64 (pow.f64 (cos.f64 y) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 y) 4) 1/18))))) (.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))))
(fma.f64 (.f64 t t) (fma.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (cos.f64 y)) 1/18) (pow.f64 (/.f64 1 (cos.f64 y)) 1/18)) (.f64 (.f64 z z) (.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 x)))) 2/81 (.f64 (.f64 (cbrt.f64 2) (.f64 (pow.f64 x 1/6) (cbrt.f64 (cos.f64 y)))) (.f64 (.f64 (pow.f64 (cbrt.f64 2) 2) (.f64 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2)) (cbrt.f64 x))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 4)) 1/18)) -1/81)))) (fma.f64 t (.f64 2/3 (.f64 (sqrt.f64 x) (.f64 (.f64 z (sin.f64 y)) (.f64 (pow.f64 (pow.f64 (cos.f64 y) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 y) 4) 1/18))))) (.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))))
(+.f64 (.f64 (+.f64 (.f64 (sqrt.f64 1) (.f64 (.f64 (+.f64 (.f64 1/81 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (cos.f64 y) 4)) 1/9) (.f64 (.f64 (pow.f64 (cbrt.f64 2) 2) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (pow.f64 x 1/3)))) (.f64 -2/81 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (cos.f64 y) 4)) 1/9) (.f64 (.f64 (pow.f64 (cbrt.f64 2) 2) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (pow.f64 x 1/3))))) (cbrt.f64 2)) (.f64 (pow.f64 (cos.f64 y) 1/3) (pow.f64 x 1/6)))) (+.f64 (.f64 4/81 (.f64 (pow.f64 (pow.f64 1 5) 1/18) (.f64 (pow.f64 (/.f64 1 (cos.f64 y)) 1/9) (.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (sqrt.f64 x))))) (.f64 -2/81 (.f64 (pow.f64 (pow.f64 1 5) 1/18) (.f64 (pow.f64 (/.f64 1 (cos.f64 y)) 1/9) (.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (sqrt.f64 x))))))) (pow.f64 t 2)) (+.f64 (.f64 2 (.f64 (pow.f64 1 1/6) (.f64 (cos.f64 y) (sqrt.f64 x)))) (+.f64 (.f64 t (+.f64 (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 5) 1/18) (.f64 (pow.f64 (pow.f64 (cos.f64 y) 4) 1/9) (.f64 (.f64 z (sin.f64 y)) (sqrt.f64 x))))) (.f64 4/9 (.f64 (pow.f64 (pow.f64 1 5) 1/18) (.f64 (pow.f64 (pow.f64 (cos.f64 y) 4) 1/9) (.f64 (.f64 z (sin.f64 y)) (sqrt.f64 x))))))) (.f64 (+.f64 (.f64 1/9 (.f64 (.f64 (+.f64 (.f64 1/81 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (cos.f64 y) 4)) 1/9) (.f64 (.f64 (pow.f64 (cbrt.f64 2) 2) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (pow.f64 x 1/3)))) (.f64 -2/81 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (cos.f64 y) 4)) 1/9) (.f64 (.f64 (pow.f64 (cbrt.f64 2) 2) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (pow.f64 x 1/3))))) (.f64 (cbrt.f64 2) (.f64 z (sin.f64 y)))) (.f64 (pow.f64 (pow.f64 1 11) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 2)) 1/9) (pow.f64 x 1/6))))) (+.f64 (.f64 -2/3 (.f64 (pow.f64 1 1/6) (.f64 (+.f64 (.f64 1/729 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))) (.f64 -2/243 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))) (sqrt.f64 x)))) (+.f64 (.f64 -4/729 (.f64 (pow.f64 (pow.f64 1 7) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) (.f64 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (sqrt.f64 x))))) (.f64 (sqrt.f64 1) (.f64 (.f64 (cbrt.f64 2) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 (.f64 1 x) (cos.f64 y)) 1/3) (.f64 (pow.f64 (cbrt.f64 2) 2) (+.f64 (.f64 1/729 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))) (.f64 -2/243 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))))))) (.f64 -2/729 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 2) 2) (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))) (cos.f64 y)) (pow.f64 x 1/3)))))) (.f64 (pow.f64 (cos.f64 y) 1/3) (pow.f64 x 1/6))))))) (pow.f64 t 3)))))
(fma.f64 (+.f64 (.f64 (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 4)) 1/18)) (.f64 (pow.f64 (cbrt.f64 2) 2) (.f64 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2)) (cbrt.f64 x)))) -1/81) (.f64 (cbrt.f64 2) (.f64 (pow.f64 x 1/6) (cbrt.f64 (cos.f64 y))))) (.f64 (.f64 (.f64 1 (.f64 (pow.f64 (/.f64 1 (cos.f64 y)) 1/18) (pow.f64 (/.f64 1 (cos.f64 y)) 1/18))) (.f64 (.f64 z z) (.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 x)))) 2/81)) (.f64 t t) (+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (fma.f64 t (.f64 (.f64 1 (.f64 (.f64 (pow.f64 (pow.f64 (cos.f64 y) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 y) 4) 1/18)) (.f64 z (.f64 (sin.f64 y) (sqrt.f64 x))))) 2/3) (.f64 (pow.f64 t 3) (fma.f64 1/9 (.f64 (.f64 1 (.f64 (pow.f64 x 1/6) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 2)) 1/18)))) (.f64 (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 4)) 1/18)) (.f64 (pow.f64 (cbrt.f64 2) 2) (.f64 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2)) (cbrt.f64 x)))) -1/81) (.f64 (.f64 z (sin.f64 y)) (cbrt.f64 2)))) (+.f64 (+.f64 (.f64 -2/3 (.f64 (fma.f64 1/729 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 y) 2))) (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3))) (.f64 -2/243 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 y) 2))) (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3))))) (sqrt.f64 x))) (.f64 -4/729 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 y) 2))) (.f64 (pow.f64 z 3) (.f64 (pow.f64 (sin.f64 y) 3) (sqrt.f64 x)))))) (.f64 (cbrt.f64 2) (.f64 (fma.f64 -2/3 (.f64 (cbrt.f64 (/.f64 x (cos.f64 y))) (.f64 (fma.f64 1/729 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 y) 2))) (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3))) (.f64 -2/243 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 y) 2))) (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3))))) (pow.f64 (cbrt.f64 2) 2))) (.f64 -2/729 (/.f64 (.f64 (.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)) (pow.f64 (cbrt.f64 2) 2)) (cbrt.f64 x)) (cos.f64 y)))) (.f64 (pow.f64 x 1/6) (cbrt.f64 (cos.f64 y)))))))))))
(fma.f64 (.f64 t t) (fma.f64 (.f64 -1/81 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 4)) 1/18)) (.f64 (pow.f64 (cbrt.f64 2) 2) (.f64 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2)) (cbrt.f64 x))))) (.f64 (cbrt.f64 2) (.f64 (pow.f64 x 1/6) (cbrt.f64 (cos.f64 y)))) (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (cos.f64 y)) 1/18) (pow.f64 (/.f64 1 (cos.f64 y)) 1/18)) (.f64 (.f64 z z) (.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 x)))) 2/81)) (fma.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)) (fma.f64 t (.f64 2/3 (.f64 (sqrt.f64 x) (.f64 (.f64 z (sin.f64 y)) (.f64 (pow.f64 (pow.f64 (cos.f64 y) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 y) 4) 1/18))))) (.f64 (pow.f64 t 3) (fma.f64 1/9 (.f64 (.f64 (pow.f64 x 1/6) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 2)) 1/18))) (.f64 (.f64 z (sin.f64 y)) (.f64 (cbrt.f64 2) (.f64 -1/81 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 4)) 1/18)) (.f64 (pow.f64 (cbrt.f64 2) 2) (.f64 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2)) (cbrt.f64 x)))))))) (fma.f64 -2/3 (.f64 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 y) 2))) (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3))) -5/729) (sqrt.f64 x)) (fma.f64 (cbrt.f64 2) (.f64 (.f64 (pow.f64 x 1/6) (cbrt.f64 (cos.f64 y))) (fma.f64 -2/3 (.f64 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 y) 2))) (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3))) -5/729) (.f64 (pow.f64 (cbrt.f64 2) 2) (cbrt.f64 (/.f64 x (cos.f64 y))))) (.f64 -2/729 (.f64 (cbrt.f64 x) (.f64 (/.f64 (pow.f64 (cbrt.f64 2) 2) (cos.f64 y)) (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3))))))) (.f64 -4/729 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 y) 2))) (.f64 (pow.f64 z 3) (*.f64 (pow.f64 (sin.f64 y) 3) (sqrt.f64 x))))))))))))
(fma.f64 (.f64 t t) (fma.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (cos.f64 y)) 1/18) (pow.f64 (/.f64 1 (cos.f64 y)) 1/18)) (.f64 (.f64 z z) (.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 x)))) 2/81 (.f64 (.f64 (cbrt.f64 2) (.f64 (pow.f64 x 1/6) (cbrt.f64 (cos.f64 y)))) (.f64 (.f64 (pow.f64 (cbrt.f64 2) 2) (.f64 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2)) (cbrt.f64 x))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 4)) 1/18)) -1/81)))) (fma.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)) (fma.f64 (pow.f64 t 3) (fma.f64 1/9 (.f64 (.f64 (pow.f64 x 1/6) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 2)) 1/18))) (.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 2) 2) (.f64 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2)) (cbrt.f64 x))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 4)) 1/18)) -1/81)) (.f64 (sin.f64 y) (.f64 z (cbrt.f64 2))))) (fma.f64 -2/3 (.f64 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 y) 2))) (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3))) -5/729) (sqrt.f64 x)) (fma.f64 (cbrt.f64 2) (.f64 (.f64 (pow.f64 x 1/6) (cbrt.f64 (cos.f64 y))) (fma.f64 -2/3 (.f64 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 y) 2))) (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3))) -5/729) (.f64 (pow.f64 (cbrt.f64 2) 2) (cbrt.f64 (/.f64 x (cos.f64 y))))) (.f64 -2/729 (/.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)) (/.f64 (/.f64 (cos.f64 y) (cbrt.f64 x)) (pow.f64 (cbrt.f64 2) 2)))))) (.f64 -4/729 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 y) 2))) (.f64 (pow.f64 z 3) (.f64 (pow.f64 (sin.f64 y) 3) (sqrt.f64 x)))))))) (.f64 t (.f64 2/3 (.f64 (sqrt.f64 x) (.f64 (.f64 z (sin.f64 y)) (*.f64 (pow.f64 (pow.f64 (cos.f64 y) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 y) 4) 1/18)))))))))

eval434.0ms (1.3%)

Compiler: Compiled 16956 to 9802 computations (42.2% saved)

prune257.0ms (0.8%)

Pruning

105 alts after pruning (95 fresh and 10 done)

	Pruned	Kept	Total
New	525	22	547
Fresh	11	73	84
Picked	1	0	1
Done	0	10	10
Total	537	105	642

Error

13.5b

Counts

642 → 105

Alt Table

Click to see full alt table

Status	Error	Program
	34.7b	(pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 3)
	16.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1/3 b) a))
	62.2b	(.f64 2 (.f64 (sqrt.f64 x) (.f64 t (.f64 1/3 (*.f64 z (sin.f64 y))))))
	40.3b	(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 a b))) 1)
	35.6b	(-.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)))
	49.1b	(pow.f64 (pow.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 3) 1/3)
✓	16.6b	(fma.f64 (.f64 (cos.f64 y) 2) (sqrt.f64 x) (/.f64 (.f64 a -1/3) b))
	41.5b	(-.f64 (pow.f64 (cbrt.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))) 3) (/.f64 a (*.f64 b 3)))
	57.9b	(pow.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3) 1/3)
	34.3b	(/.f64 a (/.f64 b -1/3))
	19.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 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))))) (/.f64 a (*.f64 b 3)))
	35.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 z t) 1/6) 2) 2) (.f64 (cbrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
	40.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (log.f64 (pow.f64 (exp.f64 1/3) t))))) (/.f64 a (.f64 b 3)))
✓	24.7b	(-.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)))
	35.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (exp.f64 (.f64 (log.f64 (.f64 z t)) 1/3)) 1/3))))) (/.f64 a (.f64 b 3)))
	33.3b	(-.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)))
✓	28.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 1/3 t)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 a 3) b)) 3))
	36.4b	(-.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)))
	25.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (.f64 (cbrt.f64 (.f64 z z)) (pow.f64 (cbrt.f64 t) 2)) (.f64 (cbrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (.f64 b 3)))
	40.6b	(sqrt.f64 (pow.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 2))
	35.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (pow.f64 (.f64 z t) 1/3) 2) (.f64 (cbrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
	27.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (.f64 z 1/3)))) (/.f64 a (*.f64 b 3)))
	28.1b	(-.f64 (exp.f64 (log.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) (/.f64 a (*.f64 b 3)))
	27.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (.f64 z (.f64 1/3 t))) 2))) (/.f64 a (*.f64 b 3)))
	35.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (pow.f64 (pow.f64 (.f64 z t) 1/6) 2) 1/3))))) (/.f64 a (*.f64 b 3)))
	20.1b	(-.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)))
	54.8b	(.f64 2 (-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 1/3 (.f64 z (.f64 (sin.f64 y) t)) (cos.f64 y)) (sqrt.f64 x)))) 1))
✓	27.9b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (.f64 -1/3 (.f64 t z)))) (/.f64 (.f64 a -1/3) b))
	20.7b	(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2))) (/.f64 a (*.f64 b 3)))
	34.7b	(.f64 (.f64 (/.f64 -1/3 b) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
	20.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 z (/.f64 1 (/.f64 3 t)))))) (/.f64 a (.f64 b 3)))
	20.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 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)))))) (/.f64 a (.f64 b 3)))
	25.2b	(-.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 (.f64 (sin.f64 y) t) (.f64 z 1/3) (cos.f64 y)) (.f64 (sqrt.f64 x) 2))) 3)) 3) (/.f64 a (*.f64 b 3)))
✓	34.3b	(/.f64 -1/3 (/.f64 b a))
	45.9b	(.f64 2 (.f64 (+.f64 (cos.f64 y) (pow.f64 (cbrt.f64 (.f64 (.f64 z (sin.f64 y)) (*.f64 t 1/3))) 3)) (sqrt.f64 x)))
	38.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (exp.f64 (log.f64 (/.f64 (/.f64 a 3) b))))
	45.3b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (.f64 -1/3 (.f64 t z)))) (sqrt.f64 (pow.f64 (.f64 -1/3 (/.f64 a b)) 2)))
	28.0b	(fma.f64 (sqrt.f64 x) (.f64 2 (cbrt.f64 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 3))) (/.f64 (.f64 a -1/3) b))
	26.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (expm1.f64 (log1p.f64 (.f64 (cbrt.f64 (.f64 z t)) 1/3))))))) (/.f64 a (*.f64 b 3)))
	45.9b	(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (+.f64 0 (.f64 z (*.f64 (sin.f64 y) t))))) (sqrt.f64 x)))
	25.4b	(-.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (fma.f64 (.f64 (sin.f64 y) t) (.f64 z 1/3) (cos.f64 y)) (.f64 (sqrt.f64 x) 2)))) 3) 3) (/.f64 a (*.f64 b 3)))
	51.7b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (.f64 -1/3 (.f64 t z)))) (log.f64 (exp.f64 (.f64 -1/3 (/.f64 a b)))))
	35.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (pow.f64 (.f64 z t) 1/3) 1/3))))) (/.f64 a (*.f64 b 3)))
	17.9b	(-.f64 (pow.f64 (.f64 (cbrt.f64 2) (.f64 (pow.f64 x 1/6) (cbrt.f64 (cos.f64 y)))) 3) (/.f64 a (*.f64 b 3)))
	27.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z)))) (/.f64 a (*.f64 b 3)))
	41.9b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (pow.f64 (exp.f64 (log.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))))) 3))
	50.8b	(*.f64 2 (sqrt.f64 x))
	35.7b	(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 a (*.f64 b 3)))
	36.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (exp.f64 (log.f64 (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
	16.8b	(fma.f64 (.f64 (cos.f64 y) (cbrt.f64 (.f64 x 4))) (cbrt.f64 (sqrt.f64 (.f64 x 4))) (/.f64 (.f64 a -1/3) b))
	28.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 1/3 t)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 a (*.f64 3 b)))) 3) 3))
	23.3b	(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
	27.8b	(fma.f64 (sqrt.f64 x) (.f64 2 (sqrt.f64 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2))) (/.f64 (.f64 a -1/3) b))
	20.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 z 3) t)))) (/.f64 a (.f64 b 3)))
	34.3b	(*.f64 (/.f64 -1/3 b) a)
	28.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (.f64 (.f64 t z) (+.f64 (.f64 1/3 (sin.f64 y)) (.f64 (.f64 t z) (.f64 (cos.f64 y) -1/18)))))) (/.f64 a (*.f64 b 3)))
	36.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (sqrt.f64 (.f64 1/3 t)) 2)))) (/.f64 a (*.f64 b 3)))
	33.7b	(fma.f64 (sqrt.f64 x) (.f64 2 (pow.f64 (sqrt.f64 (cos.f64 (.f64 -1/3 (.f64 t z)))) 2)) (/.f64 (.f64 a -1/3) b))
	25.0b	(-.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)))
	24.7b	(-.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 (pow.f64 (.f64 z (.f64 t 1/3)) 2)) (.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 (pow.f64 (.f64 z (.f64 t 1/3)) 2)) (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
✓	24.7b	(-.f64 (+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))) (/.f64 a (*.f64 b 3)))
	28.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (.f64 z (.f64 1/3 t))) 2))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 a 3) b)) 3))
	33.5b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (expm1.f64 (log1p.f64 (.f64 -1/3 (.f64 t z)))))) (/.f64 (.f64 a -1/3) b))
	22.6b	(-.f64 (expm1.f64 (log1p.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) (/.f64 a (*.f64 b 3)))
	50.6b	(exp.f64 (log.f64 (*.f64 -1/3 (/.f64 a b))))
	20.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (cbrt.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 z 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)))))) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
	34.3b	(*.f64 1/3 (/.f64 1 (/.f64 (neg.f64 b) a)))
	53.3b	(.f64 2 (.f64 (sqrt.f64 x) (+.f64 1 (.f64 y (+.f64 (.f64 y -1/2) (.f64 1/3 (.f64 t z)))))))
	20.8b	(-.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)))
	27.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 z (.f64 1/3 t)))) 3)) (/.f64 a (*.f64 b 3)))
	41.2b	(-.f64 (.f64 t (.f64 (sqrt.f64 x) (.f64 (.f64 2/3 (sin.f64 y)) z))) (/.f64 a (*.f64 b 3)))
	23.3b	(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 (/.f64 a 3) b) 1))
	21.2b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x)))) 3) (/.f64 a (.f64 b 3)))
	28.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (cbrt.f64 (.f64 1/3 t)) 3)))) (/.f64 a (*.f64 b 3)))
	22.4b	(-.f64 (cbrt.f64 (.f64 8 (pow.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) 3))) (/.f64 a (*.f64 b 3)))
	49.3b	(cbrt.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3))
	20.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))) (cbrt.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))))) (cbrt.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))))) (/.f64 a (.f64 b 3)))
	27.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 1/3 t))) 3))) (/.f64 a (*.f64 b 3)))
	44.7b	(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
✓	34.3b	(*.f64 -1/3 (/.f64 a b))
	27.6b	(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x 4)) (.f64 (/.f64 (.f64 a -1/3) b) (/.f64 (.f64 a -1/3) b))) (-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (/.f64 (.f64 a -1/3) b)))
	39.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (pow.f64 (.f64 1/3 t) 3) 1/3)))) (/.f64 a (*.f64 b 3)))
✓	27.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 1/3 t)))) (/.f64 a (*.f64 b 3)))
	24.1b	(-.f64 (pow.f64 (.f64 (cbrt.f64 2) (pow.f64 x 1/6)) 3) (/.f64 a (.f64 b 3)))
	20.8b	(-.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)))
	20.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2))) (.f64 (cbrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
	34.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (expm1.f64 (log1p.f64 (.f64 z (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
	17.3b	(pow.f64 (cbrt.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))) 3)
	34.3b	(pow.f64 (*.f64 (/.f64 b a) -3) -1)
✓	20.7b	(-.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)))
	62.3b	(.f64 (sin.f64 y) (.f64 (.f64 t z) (.f64 (sqrt.f64 x) 2/3)))
	27.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 (.f64 z (.f64 1/3 t))) 3))) (/.f64 a (*.f64 b 3)))
	16.6b	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 (sqrt.f64 (.f64 x 4)))) (sqrt.f64 (sqrt.f64 (.f64 x 4))) (/.f64 (.f64 a -1/3) b))
	23.5b	(-.f64 (pow.f64 (cbrt.f64 (.f64 2 (sqrt.f64 x))) 3) (/.f64 a (.f64 b 3)))
	19.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
	35.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (.f64 (sqrt.f64 (.f64 z t)) (pow.f64 (.f64 z t) 1/6)) (.f64 (cbrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
	27.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (+.f64 1 (cos.f64 (.f64 z (.f64 1/3 t)))) 1)) (/.f64 a (*.f64 b 3)))
	21.0b	(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))
	49.6b	(pow.f64 (sqrt.f64 (*.f64 -1/3 (/.f64 a b))) 2)
	20.8b	(-.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)))
	61.8b	(log.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))))
	36.0b	(-.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)))
✓	45.9b	(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))) (sqrt.f64 x)))
	62.2b	(.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))

Compiler

Compiled 2866 to 2191 computations (23.6% saved)

regimes4.1s (12.6%)

Counts

162 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

22 calls:

476.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
264.0ms	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))
259.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
241.0ms	(-.f64 y (/.f64 (*.f64 z t) 3))
233.0ms	(-.f64 y (/.f64 (*.f64 z t) 3))

Results

Error	Segments	Branch
16.5b	1	`x`
16.5b	1	`y`
16.5b	1	`z`
16.5b	1	`t`
16.5b	1	`a`
16.5b	1	`b`
15.3b	2	`(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))`
15.3b	2	`(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))`
15.3b	2	`(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))`
16.5b	1	`(*.f64 2 (sqrt.f64 x))`
16.5b	1	`(sqrt.f64 x)`
15.3b	2	`(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))`
15.3b	2	`(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))`
15.2b	3	`(-.f64 y (/.f64 (*.f64 z t) 3))`
15.2b	3	`(-.f64 y (/.f64 (*.f64 z t) 3))`
15.0b	3	`(/.f64 (*.f64 z t) 3)`
15.0b	3	`(/.f64 (*.f64 z t) 3)`
15.0b	3	`(*.f64 z t)`
15.4b	3	`(/.f64 a (*.f64 b 3))`
15.4b	3	`(/.f64 a (*.f64 b 3))`
16.5b	1	`(*.f64 b 3)`
16.5b	1	`(*.f64 b 3)`

Compiler

Compiled 3749 to 2315 computations (38.3% saved)

bsearch2.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.620838164226828e+295	1.0215296881739675e+297
0.0ms	-1374172859169960.0	-1091051866982996.4

Compiler

Compiled 34 to 27 computations (20.6% saved)

regimes4.5s (13.7%)

Counts

153 → 3

Calls

Call 1

Inputs
(*.f64 (/.f64 -1/3 b) a)
(/.f64 a (/.f64 b -1/3))
(/.f64 -1/3 (/.f64 b a))
(*.f64 -1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 1 (/.f64 (neg.f64 b) a)))
(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 a b))) 1)
(*.f64 2 (sqrt.f64 x))
(pow.f64 (*.f64 (/.f64 b a) -3) -1)
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 (/.f64 a 3) b) 1))
(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 a (*.f64 b 3)))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 1 (.f64 y (+.f64 (.f64 y -1/2) (.f64 1/3 (.f64 t z)))))))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 (sqrt.f64 x) (+.f64 2 (.f64 y (-.f64 (.f64 (*.f64 t z) 2/3) y)))))
(exp.f64 (log.f64 (*.f64 -1/3 (/.f64 a b))))
(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
(pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 3)
(cbrt.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3))
(pow.f64 (sqrt.f64 (*.f64 -1/3 (/.f64 a b))) 2)
(pow.f64 (sqrt.f64 (*.f64 -1/3 (/.f64 a b))) 2)
(pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 3)
(pow.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3) 1/3)
(pow.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3) 1/3)
(.f64 (sin.f64 y) (.f64 (.f64 t z) (.f64 (sqrt.f64 x) 2/3)))
(.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (.f64 t (.f64 1/3 (*.f64 z (sin.f64 y))))))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1/3 b) a))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 (/.f64 a 3) b) 1))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1 b) (/.f64 a 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (.f64 z 1/3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 t (.f64 (sqrt.f64 x) (.f64 (.f64 2/3 (sin.f64 y)) z))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 1/3 t)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 a b) 1/3))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 1/3 b) a))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 z 3) t)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (+.f64 1 (cos.f64 (.f64 z (.f64 1/3 t)))) 1)) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 (/.f64 a 3) b) 1))
(-.f64 (.f64 (.f64 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 -1/3 b) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(fma.f64 (.f64 (cos.f64 y) 2) (sqrt.f64 x) (/.f64 (.f64 a -1/3) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)) (/.f64 (.f64 a -1/3) b))
(-.f64 (pow.f64 (cbrt.f64 (.f64 2 (sqrt.f64 x))) 3) (/.f64 a (.f64 b 3)))
(-.f64 (pow.f64 (.f64 (cbrt.f64 2) (pow.f64 x 1/6)) 3) (/.f64 a (.f64 b 3)))
(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2))) (/.f64 a (*.f64 b 3)))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (.f64 -1/3 (.f64 t z)))) (/.f64 (.f64 a -1/3) b))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (+.f64 0 (.f64 z (*.f64 (sin.f64 y) t))))) (sqrt.f64 x)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (pow.f64 (.f64 3 (/.f64 b a)) -1))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (/.f64 (/.f64 3 z) t) -1)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (.f64 1/3 (+.f64 0 (.f64 z (.f64 (sin.f64 y) t)))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) y)) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.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 (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)) (exp.f64 (log.f64 (/.f64 (/.f64 a 3) b))))
(-.f64 (expm1.f64 (log1p.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) (/.f64 a (*.f64 b 3)))
(log.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))))
(sqrt.f64 (pow.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 2))
(-.f64 (cbrt.f64 (.f64 8 (pow.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) 3))) (/.f64 a (*.f64 b 3)))
(pow.f64 (cbrt.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))) 3)
(pow.f64 (pow.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 3) 1/3)
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (/.f64 (*.f64 a -1/3) b))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (exp.f64 (log.f64 (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (expm1.f64 (log1p.f64 (.f64 z (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (pow.f64 (cbrt.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))) 3) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 1/3 t)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 a 3) b)) 3))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (.f64 z (.f64 1/3 t))) 2))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (sqrt.f64 (.f64 1/3 t)) 2)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 z (.f64 1/3 t)))) 3)) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (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 z (.f64 1/3 t))) 3))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (cbrt.f64 (pow.f64 (.f64 1/3 t) 3))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (pow.f64 (cbrt.f64 (.f64 z (.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 z (pow.f64 (pow.f64 (.f64 1/3 t) 3) 1/3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 t (.f64 z (.f64 1/3 (sin.f64 y))) (cos.f64 y))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (exp.f64 (log.f64 (/.f64 (/.f64 a 3) b))))
(-.f64 (.f64 (sqrt.f64 x) (fma.f64 2 (cos.f64 y) (.f64 (.f64 z (sin.f64 y)) (.f64 t 2/3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (cbrt.f64 (.f64 (pow.f64 (.f64 z t) 3) 1/27))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (.f64 (pow.f64 (.f64 z t) 3) 1/27) 1/3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))) (/.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 (cos.f64 y) (.f64 (.f64 t z) (+.f64 (.f64 1/3 (sin.f64 y)) (.f64 (.f64 t z) (.f64 (cos.f64 y) -1/18)))))) (/.f64 a (*.f64 b 3)))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x 4)) (.f64 (/.f64 (.f64 a -1/3) b) (/.f64 (.f64 a -1/3) b))) (-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (/.f64 (.f64 a -1/3) b)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (.f64 -1/3 (.f64 t z)))) (log.f64 (exp.f64 (.f64 -1/3 (/.f64 a b)))))
(-.f64 (pow.f64 (.f64 (cbrt.f64 2) (.f64 (pow.f64 x 1/6) (cbrt.f64 (cos.f64 y)))) 3) (/.f64 a (*.f64 b 3)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (expm1.f64 (log1p.f64 (.f64 -1/3 (.f64 t z)))))) (/.f64 (.f64 a -1/3) b))
(fma.f64 (.f64 (cos.f64 y) (cbrt.f64 (.f64 x 4))) (cbrt.f64 (sqrt.f64 (.f64 x 4))) (/.f64 (.f64 a -1/3) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (.f64 -1/3 (.f64 t z)))) (sqrt.f64 (pow.f64 (.f64 -1/3 (/.f64 a b)) 2)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cbrt.f64 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 3))) (/.f64 (.f64 a -1/3) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (sqrt.f64 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2))) (/.f64 (.f64 a -1/3) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (pow.f64 (sqrt.f64 (cos.f64 (.f64 -1/3 (.f64 t z)))) 2)) (/.f64 (.f64 a -1/3) b))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (pow.f64 (cbrt.f64 (.f64 (.f64 z (sin.f64 y)) (*.f64 t 1/3))) 3)) (sqrt.f64 x)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (log.f64 (pow.f64 (exp.f64 1/3) t))))) (/.f64 a (.f64 b 3)))
(fma.f64 (.f64 (cos.f64 y) (cbrt.f64 (.f64 x 4))) (cbrt.f64 (.f64 2 (sqrt.f64 x))) (.f64 a (neg.f64 (/.f64 1/3 b))))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))))) (/.f64 a (.f64 b 3)))
(-.f64 (exp.f64 (log.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))))) (/.f64 a (.f64 b 3)))
(fma.f64 (sqrt.f64 x) (.f64 2 (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))) (/.f64 (.f64 a -1/3) b))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.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 (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)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)))) 1)) (/.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 (pow.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))) 3) 1/3) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (pow.f64 (cbrt.f64 (.f64 (.f64 z (sin.f64 y)) (.f64 t 1/3))) 3))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 z (sin.f64 y)) (.f64 t 1/3)))) 1))) (/.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 (pow.f64 (pow.f64 (.f64 z t) 1/3) 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 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (pow.f64 (.f64 z t) 1/3) 1/3))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (.f64 (sqrt.f64 (.f64 z t)) (pow.f64 (.f64 z t) 1/6)) (.f64 (cbrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
(.f64 2 (pow.f64 (cbrt.f64 (.f64 (fma.f64 1/3 (.f64 z (.f64 (sin.f64 y) t)) (cos.f64 y)) (sqrt.f64 x))) 3))
(.f64 2 (-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 1/3 (.f64 z (.f64 (sin.f64 y) t)) (cos.f64 y)) (sqrt.f64 x)))) 1))
(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 (sqrt.f64 (.f64 x 4)))) (sqrt.f64 (sqrt.f64 (.f64 x 4))) (/.f64 (.f64 a -1/3) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (exp.f64 (log.f64 (.f64 t -1/3))) y))) (/.f64 (*.f64 a -1/3) b))
(fma.f64 (.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 (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 (cos.f64 (fma.f64 z (pow.f64 (cbrt.f64 (.f64 t -1/3)) 3) y))) (/.f64 (*.f64 a -1/3) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (cbrt.f64 (pow.f64 (.f64 t -1/3) 3)) y))) (/.f64 (*.f64 a -1/3) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 3))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 1/3 t)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 a (*.f64 3 b)))) 3) 3))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (.f64 z (.f64 1/3 t))) 2))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 a 3) b)) 3))
(-.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 2 (sqrt.f64 x)) 3) (pow.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) 3))) (/.f64 a (.f64 b 3)))
(-.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (.f64 2 (fma.f64 (.f64 z (.f64 (sin.f64 y) t)) 1/3 (cos.f64 y))))) 3) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 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)))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 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)))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 z t) 1/6) 2) 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 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (exp.f64 (.f64 (log.f64 (.f64 z t)) 1/3)) 1/3))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (.f64 (cbrt.f64 (.f64 z z)) (pow.f64 (cbrt.f64 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 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (pow.f64 (pow.f64 (.f64 z t) 1/6) 2) 1/3))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 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)))))) (/.f64 a (.f64 b 3)))
(.f64 (-.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x 4)) (pow.f64 (/.f64 (.f64 a 1/3) b) 2)) (/.f64 1 (fma.f64 (sqrt.f64 (.f64 x 4)) (cos.f64 y) (/.f64 (.f64 a 1/3) b))))
(.f64 (-.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2)) (/.f64 (pow.f64 (/.f64 a b) 2) 9)) (/.f64 1 (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 1/3 b)))))
(-.f64 (+.f64 (.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 2 (sqrt.f64 x))) (.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) (.f64 2 (sqrt.f64 x)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (expm1.f64 (log1p.f64 (.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 (expm1.f64 (log1p.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 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (cbrt.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 z t)) 1/3) 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)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (pow.f64 (exp.f64 (log.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))))) 3))
(fma.f64 (sqrt.f64 x) (.f64 2 (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2))) (pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 3))
(-.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 (.f64 (sin.f64 y) t) (.f64 z 1/3) (cos.f64 y)) (.f64 (sqrt.f64 x) 2))) 3)) 3) (/.f64 a (*.f64 b 3)))
(-.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (fma.f64 (.f64 (sin.f64 y) t) (.f64 z 1/3) (cos.f64 y)) (.f64 (sqrt.f64 x) 2)))) 3) 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)) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.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)))

Outputs

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

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

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

Calls

22 calls:

355.0ms	(-.f64 y (/.f64 (*.f64 z t) 3))
341.0ms	(sqrt.f64 x)
332.0ms	(*.f64 2 (sqrt.f64 x))
262.0ms	(/.f64 (*.f64 z t) 3)
260.0ms	(-.f64 y (/.f64 (*.f64 z t) 3))

Results

Error	Segments	Branch
16.5b	1	`x`
16.5b	1	`y`
16.5b	1	`z`
16.5b	1	`t`
16.5b	1	`a`
16.5b	1	`b`
15.3b	2	`(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))`
15.3b	2	`(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))`
15.3b	2	`(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))`
16.5b	1	`(*.f64 2 (sqrt.f64 x))`
16.5b	1	`(sqrt.f64 x)`
15.3b	2	`(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))`
15.3b	2	`(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))`
15.2b	3	`(-.f64 y (/.f64 (*.f64 z t) 3))`
15.2b	3	`(-.f64 y (/.f64 (*.f64 z t) 3))`
15.0b	3	`(/.f64 (*.f64 z t) 3)`
15.0b	3	`(/.f64 (*.f64 z t) 3)`
15.0b	3	`(*.f64 z t)`
15.4b	3	`(/.f64 a (*.f64 b 3))`
15.4b	3	`(/.f64 a (*.f64 b 3))`
16.5b	1	`(*.f64 b 3)`
16.5b	1	`(*.f64 b 3)`

Compiler

Compiled 3296 to 2031 computations (38.4% saved)

bsearch2.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.620838164226828e+295	1.0215296881739675e+297
0.0ms	-1374172859169960.0	-1091051866982996.4

Compiler

Compiled 34 to 27 computations (20.6% saved)

regimes3.1s (9.3%)

Counts

138 → 3

Calls

Call 1

Inputs
(*.f64 (/.f64 -1/3 b) a)
(/.f64 a (/.f64 b -1/3))
(/.f64 -1/3 (/.f64 b a))
(*.f64 -1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 1 (/.f64 (neg.f64 b) a)))
(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 a b))) 1)
(*.f64 2 (sqrt.f64 x))
(pow.f64 (*.f64 (/.f64 b a) -3) -1)
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 (/.f64 a 3) b) 1))
(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 a (*.f64 b 3)))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 1 (.f64 y (+.f64 (.f64 y -1/2) (.f64 1/3 (.f64 t z)))))))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 (sqrt.f64 x) (+.f64 2 (.f64 y (-.f64 (.f64 (*.f64 t z) 2/3) y)))))
(exp.f64 (log.f64 (*.f64 -1/3 (/.f64 a b))))
(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
(pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 3)
(cbrt.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3))
(pow.f64 (sqrt.f64 (*.f64 -1/3 (/.f64 a b))) 2)
(pow.f64 (sqrt.f64 (*.f64 -1/3 (/.f64 a b))) 2)
(pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 3)
(pow.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3) 1/3)
(pow.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3) 1/3)
(.f64 (sin.f64 y) (.f64 (.f64 t z) (.f64 (sqrt.f64 x) 2/3)))
(.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (.f64 t (.f64 1/3 (*.f64 z (sin.f64 y))))))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1/3 b) a))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 (/.f64 a 3) b) 1))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1 b) (/.f64 a 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (.f64 z 1/3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 t (.f64 (sqrt.f64 x) (.f64 (.f64 2/3 (sin.f64 y)) z))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 1/3 t)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 a b) 1/3))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 1/3 b) a))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 z 3) t)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (+.f64 1 (cos.f64 (.f64 z (.f64 1/3 t)))) 1)) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 (/.f64 a 3) b) 1))
(-.f64 (.f64 (.f64 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 -1/3 b) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(fma.f64 (.f64 (cos.f64 y) 2) (sqrt.f64 x) (/.f64 (.f64 a -1/3) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)) (/.f64 (.f64 a -1/3) b))
(-.f64 (pow.f64 (cbrt.f64 (.f64 2 (sqrt.f64 x))) 3) (/.f64 a (.f64 b 3)))
(-.f64 (pow.f64 (.f64 (cbrt.f64 2) (pow.f64 x 1/6)) 3) (/.f64 a (.f64 b 3)))
(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2))) (/.f64 a (*.f64 b 3)))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (.f64 -1/3 (.f64 t z)))) (/.f64 (.f64 a -1/3) b))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (+.f64 0 (.f64 z (*.f64 (sin.f64 y) t))))) (sqrt.f64 x)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (pow.f64 (.f64 3 (/.f64 b a)) -1))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (/.f64 (/.f64 3 z) t) -1)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (.f64 1/3 (+.f64 0 (.f64 z (.f64 (sin.f64 y) t)))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) y)) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.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 (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)) (exp.f64 (log.f64 (/.f64 (/.f64 a 3) b))))
(-.f64 (expm1.f64 (log1p.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) (/.f64 a (*.f64 b 3)))
(log.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))))
(sqrt.f64 (pow.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 2))
(-.f64 (cbrt.f64 (.f64 8 (pow.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) 3))) (/.f64 a (*.f64 b 3)))
(pow.f64 (cbrt.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))) 3)
(pow.f64 (pow.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 3) 1/3)
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (/.f64 (*.f64 a -1/3) b))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (exp.f64 (log.f64 (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (expm1.f64 (log1p.f64 (.f64 z (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (pow.f64 (cbrt.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))) 3) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 1/3 t)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 a 3) b)) 3))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (.f64 z (.f64 1/3 t))) 2))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (sqrt.f64 (.f64 1/3 t)) 2)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 z (.f64 1/3 t)))) 3)) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (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 z (.f64 1/3 t))) 3))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (cbrt.f64 (pow.f64 (.f64 1/3 t) 3))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (pow.f64 (cbrt.f64 (.f64 z (.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 z (pow.f64 (pow.f64 (.f64 1/3 t) 3) 1/3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 t (.f64 z (.f64 1/3 (sin.f64 y))) (cos.f64 y))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (exp.f64 (log.f64 (/.f64 (/.f64 a 3) b))))
(-.f64 (.f64 (sqrt.f64 x) (fma.f64 2 (cos.f64 y) (.f64 (.f64 z (sin.f64 y)) (.f64 t 2/3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (cbrt.f64 (.f64 (pow.f64 (.f64 z t) 3) 1/27))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (.f64 (pow.f64 (.f64 z t) 3) 1/27) 1/3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))) (/.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 (cos.f64 y) (.f64 (.f64 t z) (+.f64 (.f64 1/3 (sin.f64 y)) (.f64 (.f64 t z) (.f64 (cos.f64 y) -1/18)))))) (/.f64 a (*.f64 b 3)))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x 4)) (.f64 (/.f64 (.f64 a -1/3) b) (/.f64 (.f64 a -1/3) b))) (-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (/.f64 (.f64 a -1/3) b)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (.f64 -1/3 (.f64 t z)))) (log.f64 (exp.f64 (.f64 -1/3 (/.f64 a b)))))
(-.f64 (pow.f64 (.f64 (cbrt.f64 2) (.f64 (pow.f64 x 1/6) (cbrt.f64 (cos.f64 y)))) 3) (/.f64 a (*.f64 b 3)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (expm1.f64 (log1p.f64 (.f64 -1/3 (.f64 t z)))))) (/.f64 (.f64 a -1/3) b))
(fma.f64 (.f64 (cos.f64 y) (cbrt.f64 (.f64 x 4))) (cbrt.f64 (sqrt.f64 (.f64 x 4))) (/.f64 (.f64 a -1/3) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (.f64 -1/3 (.f64 t z)))) (sqrt.f64 (pow.f64 (.f64 -1/3 (/.f64 a b)) 2)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cbrt.f64 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 3))) (/.f64 (.f64 a -1/3) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (sqrt.f64 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2))) (/.f64 (.f64 a -1/3) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (pow.f64 (sqrt.f64 (cos.f64 (.f64 -1/3 (.f64 t z)))) 2)) (/.f64 (.f64 a -1/3) b))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (pow.f64 (cbrt.f64 (.f64 (.f64 z (sin.f64 y)) (*.f64 t 1/3))) 3)) (sqrt.f64 x)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (log.f64 (pow.f64 (exp.f64 1/3) t))))) (/.f64 a (.f64 b 3)))
(fma.f64 (.f64 (cos.f64 y) (cbrt.f64 (.f64 x 4))) (cbrt.f64 (.f64 2 (sqrt.f64 x))) (.f64 a (neg.f64 (/.f64 1/3 b))))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))))) (/.f64 a (.f64 b 3)))
(-.f64 (exp.f64 (log.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))))) (/.f64 a (.f64 b 3)))
(fma.f64 (sqrt.f64 x) (.f64 2 (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))) (/.f64 (.f64 a -1/3) b))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.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 (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)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)))) 1)) (/.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 (pow.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))) 3) 1/3) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (pow.f64 (cbrt.f64 (.f64 (.f64 z (sin.f64 y)) (.f64 t 1/3))) 3))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 z (sin.f64 y)) (.f64 t 1/3)))) 1))) (/.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 (pow.f64 (pow.f64 (.f64 z t) 1/3) 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 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (pow.f64 (.f64 z t) 1/3) 1/3))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (.f64 (sqrt.f64 (.f64 z t)) (pow.f64 (.f64 z t) 1/6)) (.f64 (cbrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
(.f64 2 (pow.f64 (cbrt.f64 (.f64 (fma.f64 1/3 (.f64 z (.f64 (sin.f64 y) t)) (cos.f64 y)) (sqrt.f64 x))) 3))
(.f64 2 (-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 1/3 (.f64 z (.f64 (sin.f64 y) t)) (cos.f64 y)) (sqrt.f64 x)))) 1))
(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 (sqrt.f64 (.f64 x 4)))) (sqrt.f64 (sqrt.f64 (.f64 x 4))) (/.f64 (.f64 a -1/3) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (exp.f64 (log.f64 (.f64 t -1/3))) y))) (/.f64 (*.f64 a -1/3) b))
(fma.f64 (.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 (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 (cos.f64 (fma.f64 z (pow.f64 (cbrt.f64 (.f64 t -1/3)) 3) y))) (/.f64 (*.f64 a -1/3) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (cbrt.f64 (pow.f64 (.f64 t -1/3) 3)) y))) (/.f64 (*.f64 a -1/3) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 3))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 1/3 t)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 a (*.f64 3 b)))) 3) 3))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (.f64 z (.f64 1/3 t))) 2))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 a 3) b)) 3))
(-.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 2 (sqrt.f64 x)) 3) (pow.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) 3))) (/.f64 a (.f64 b 3)))
(-.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (.f64 2 (fma.f64 (.f64 z (.f64 (sin.f64 y) t)) 1/3 (cos.f64 y))))) 3) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 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)))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 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)))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 z t) 1/6) 2) 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 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (exp.f64 (.f64 (log.f64 (.f64 z t)) 1/3)) 1/3))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (.f64 (cbrt.f64 (.f64 z z)) (pow.f64 (cbrt.f64 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 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (pow.f64 (pow.f64 (.f64 z t) 1/6) 2) 1/3))))) (/.f64 a (*.f64 b 3)))

Outputs

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

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

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

Calls

22 calls:

208.0ms	(-.f64 y (/.f64 (*.f64 z t) 3))
196.0ms	(-.f64 y (/.f64 (*.f64 z t) 3))
195.0ms	(/.f64 a (*.f64 b 3))
184.0ms	(/.f64 a (*.f64 b 3))
158.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))

Results

Error	Segments	Branch
16.5b	1	`x`
16.5b	1	`y`
16.5b	1	`z`
16.5b	1	`t`
16.5b	1	`a`
16.5b	1	`b`
15.3b	2	`(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))`
15.3b	2	`(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))`
15.3b	2	`(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))`
16.5b	1	`(*.f64 2 (sqrt.f64 x))`
16.5b	1	`(sqrt.f64 x)`
15.3b	2	`(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))`
15.3b	2	`(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))`
15.2b	3	`(-.f64 y (/.f64 (*.f64 z t) 3))`
15.2b	3	`(-.f64 y (/.f64 (*.f64 z t) 3))`
15.0b	3	`(/.f64 (*.f64 z t) 3)`
15.0b	3	`(/.f64 (*.f64 z t) 3)`
15.0b	3	`(*.f64 z t)`
15.4b	3	`(/.f64 a (*.f64 b 3))`
15.4b	3	`(/.f64 a (*.f64 b 3))`
16.5b	1	`(*.f64 b 3)`
16.5b	1	`(*.f64 b 3)`

Compiler

Compiled 2812 to 1743 computations (38% saved)

bsearch2.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.620838164226828e+295	1.0215296881739675e+297
0.0ms	-1374172859169960.0	-1091051866982996.4

Compiler

Compiled 34 to 27 computations (20.6% saved)

regimes2.1s (6.4%)

Counts

117 → 3

Calls

Call 1

Inputs
(*.f64 (/.f64 -1/3 b) a)
(/.f64 a (/.f64 b -1/3))
(/.f64 -1/3 (/.f64 b a))
(*.f64 -1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 1 (/.f64 (neg.f64 b) a)))
(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 a b))) 1)
(*.f64 2 (sqrt.f64 x))
(pow.f64 (*.f64 (/.f64 b a) -3) -1)
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 (/.f64 a 3) b) 1))
(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 a (*.f64 b 3)))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 1 (.f64 y (+.f64 (.f64 y -1/2) (.f64 1/3 (.f64 t z)))))))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 (sqrt.f64 x) (+.f64 2 (.f64 y (-.f64 (.f64 (*.f64 t z) 2/3) y)))))
(exp.f64 (log.f64 (*.f64 -1/3 (/.f64 a b))))
(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
(pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 3)
(cbrt.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3))
(pow.f64 (sqrt.f64 (*.f64 -1/3 (/.f64 a b))) 2)
(pow.f64 (sqrt.f64 (*.f64 -1/3 (/.f64 a b))) 2)
(pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 3)
(pow.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3) 1/3)
(pow.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3) 1/3)
(.f64 (sin.f64 y) (.f64 (.f64 t z) (.f64 (sqrt.f64 x) 2/3)))
(.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (.f64 t (.f64 1/3 (*.f64 z (sin.f64 y))))))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1/3 b) a))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 (/.f64 a 3) b) 1))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1 b) (/.f64 a 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (.f64 z 1/3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 t (.f64 (sqrt.f64 x) (.f64 (.f64 2/3 (sin.f64 y)) z))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 1/3 t)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 a b) 1/3))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 1/3 b) a))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 z 3) t)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (+.f64 1 (cos.f64 (.f64 z (.f64 1/3 t)))) 1)) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 (/.f64 a 3) b) 1))
(-.f64 (.f64 (.f64 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 -1/3 b) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(fma.f64 (.f64 (cos.f64 y) 2) (sqrt.f64 x) (/.f64 (.f64 a -1/3) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)) (/.f64 (.f64 a -1/3) b))
(-.f64 (pow.f64 (cbrt.f64 (.f64 2 (sqrt.f64 x))) 3) (/.f64 a (.f64 b 3)))
(-.f64 (pow.f64 (.f64 (cbrt.f64 2) (pow.f64 x 1/6)) 3) (/.f64 a (.f64 b 3)))
(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2))) (/.f64 a (*.f64 b 3)))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (.f64 -1/3 (.f64 t z)))) (/.f64 (.f64 a -1/3) b))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (+.f64 0 (.f64 z (*.f64 (sin.f64 y) t))))) (sqrt.f64 x)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (pow.f64 (.f64 3 (/.f64 b a)) -1))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (/.f64 (/.f64 3 z) t) -1)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (.f64 1/3 (+.f64 0 (.f64 z (.f64 (sin.f64 y) t)))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) y)) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.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 (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)) (exp.f64 (log.f64 (/.f64 (/.f64 a 3) b))))
(-.f64 (expm1.f64 (log1p.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) (/.f64 a (*.f64 b 3)))
(log.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))))
(sqrt.f64 (pow.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 2))
(-.f64 (cbrt.f64 (.f64 8 (pow.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) 3))) (/.f64 a (*.f64 b 3)))
(pow.f64 (cbrt.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))) 3)
(pow.f64 (pow.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 3) 1/3)
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (/.f64 (*.f64 a -1/3) b))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (exp.f64 (log.f64 (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (expm1.f64 (log1p.f64 (.f64 z (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (pow.f64 (cbrt.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))) 3) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 1/3 t)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 a 3) b)) 3))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (.f64 z (.f64 1/3 t))) 2))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (sqrt.f64 (.f64 1/3 t)) 2)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 z (.f64 1/3 t)))) 3)) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (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 z (.f64 1/3 t))) 3))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (cbrt.f64 (pow.f64 (.f64 1/3 t) 3))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (pow.f64 (cbrt.f64 (.f64 z (.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 z (pow.f64 (pow.f64 (.f64 1/3 t) 3) 1/3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 t (.f64 z (.f64 1/3 (sin.f64 y))) (cos.f64 y))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (exp.f64 (log.f64 (/.f64 (/.f64 a 3) b))))
(-.f64 (.f64 (sqrt.f64 x) (fma.f64 2 (cos.f64 y) (.f64 (.f64 z (sin.f64 y)) (.f64 t 2/3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (cbrt.f64 (.f64 (pow.f64 (.f64 z t) 3) 1/27))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (.f64 (pow.f64 (.f64 z t) 3) 1/27) 1/3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))) (/.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 (cos.f64 y) (.f64 (.f64 t z) (+.f64 (.f64 1/3 (sin.f64 y)) (.f64 (.f64 t z) (.f64 (cos.f64 y) -1/18)))))) (/.f64 a (*.f64 b 3)))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x 4)) (.f64 (/.f64 (.f64 a -1/3) b) (/.f64 (.f64 a -1/3) b))) (-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (/.f64 (.f64 a -1/3) b)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (.f64 -1/3 (.f64 t z)))) (log.f64 (exp.f64 (.f64 -1/3 (/.f64 a b)))))
(-.f64 (pow.f64 (.f64 (cbrt.f64 2) (.f64 (pow.f64 x 1/6) (cbrt.f64 (cos.f64 y)))) 3) (/.f64 a (*.f64 b 3)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (expm1.f64 (log1p.f64 (.f64 -1/3 (.f64 t z)))))) (/.f64 (.f64 a -1/3) b))
(fma.f64 (.f64 (cos.f64 y) (cbrt.f64 (.f64 x 4))) (cbrt.f64 (sqrt.f64 (.f64 x 4))) (/.f64 (.f64 a -1/3) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (.f64 -1/3 (.f64 t z)))) (sqrt.f64 (pow.f64 (.f64 -1/3 (/.f64 a b)) 2)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cbrt.f64 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 3))) (/.f64 (.f64 a -1/3) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (sqrt.f64 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2))) (/.f64 (.f64 a -1/3) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (pow.f64 (sqrt.f64 (cos.f64 (.f64 -1/3 (.f64 t z)))) 2)) (/.f64 (.f64 a -1/3) b))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (pow.f64 (cbrt.f64 (.f64 (.f64 z (sin.f64 y)) (*.f64 t 1/3))) 3)) (sqrt.f64 x)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (log.f64 (pow.f64 (exp.f64 1/3) t))))) (/.f64 a (.f64 b 3)))
(fma.f64 (.f64 (cos.f64 y) (cbrt.f64 (.f64 x 4))) (cbrt.f64 (.f64 2 (sqrt.f64 x))) (.f64 a (neg.f64 (/.f64 1/3 b))))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))))) (/.f64 a (.f64 b 3)))
(-.f64 (exp.f64 (log.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))))) (/.f64 a (.f64 b 3)))
(fma.f64 (sqrt.f64 x) (.f64 2 (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))) (/.f64 (.f64 a -1/3) b))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.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 (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)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)))) 1)) (/.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 (pow.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))) 3) 1/3) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (pow.f64 (cbrt.f64 (.f64 (.f64 z (sin.f64 y)) (.f64 t 1/3))) 3))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 z (sin.f64 y)) (.f64 t 1/3)))) 1))) (/.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 (pow.f64 (pow.f64 (.f64 z t) 1/3) 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 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (pow.f64 (.f64 z t) 1/3) 1/3))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))))) (/.f64 a (*.f64 b 3)))

Outputs

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

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

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

Calls

23 calls:

128.0ms	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))
128.0ms	(*.f64 z t)
122.0ms	(*.f64 z t)
120.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
117.0ms	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))

Results

Error	Segments	Branch
16.5b	1	`x`
16.5b	1	`y`
16.5b	1	`z`
16.5b	1	`t`
16.5b	1	`a`
16.5b	1	`b`
16.5b	1	`(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))`
16.5b	1	`(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))`
16.5b	1	`(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))`
16.5b	1	`(*.f64 2 (sqrt.f64 x))`
16.5b	1	`(sqrt.f64 x)`
15.5b	2	`(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))`
15.5b	2	`(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))`
16.5b	1	`(-.f64 y (/.f64 (*.f64 z t) 3))`
16.5b	1	`(-.f64 y (/.f64 (*.f64 z t) 3))`
15.2b	3	`(/.f64 (*.f64 z t) 3)`
15.2b	3	`(/.f64 (*.f64 z t) 3)`
15.2b	3	`(*.f64 z t)`
15.2b	3	`(*.f64 z t)`
16.5b	1	`(/.f64 a (*.f64 b 3))`
16.5b	1	`(/.f64 a (*.f64 b 3))`
16.5b	1	`(*.f64 b 3)`
16.5b	1	`(*.f64 b 3)`

Compiler

Compiled 2314 to 1446 computations (37.5% saved)

bsearch2.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	379.75222081092335	368317262.71845883
0.0ms	-1374172859169960.0	-1091051866982996.4

Compiler

Compiled 34 to 27 computations (20.6% saved)

regimes2.3s (6.9%)

Counts

116 → 1

Calls

Call 1

Inputs
(*.f64 (/.f64 -1/3 b) a)
(/.f64 a (/.f64 b -1/3))
(/.f64 -1/3 (/.f64 b a))
(*.f64 -1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 1 (/.f64 (neg.f64 b) a)))
(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 a b))) 1)
(*.f64 2 (sqrt.f64 x))
(pow.f64 (*.f64 (/.f64 b a) -3) -1)
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 (/.f64 a 3) b) 1))
(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 a (*.f64 b 3)))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 1 (.f64 y (+.f64 (.f64 y -1/2) (.f64 1/3 (.f64 t z)))))))
(+.f64 (.f64 -1/3 (/.f64 a b)) (.f64 (sqrt.f64 x) (+.f64 2 (.f64 y (-.f64 (.f64 (*.f64 t z) 2/3) y)))))
(exp.f64 (log.f64 (*.f64 -1/3 (/.f64 a b))))
(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
(pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 3)
(cbrt.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3))
(pow.f64 (sqrt.f64 (*.f64 -1/3 (/.f64 a b))) 2)
(pow.f64 (sqrt.f64 (*.f64 -1/3 (/.f64 a b))) 2)
(pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 3)
(pow.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3) 1/3)
(pow.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3) 1/3)
(.f64 (sin.f64 y) (.f64 (.f64 t z) (.f64 (sqrt.f64 x) 2/3)))
(.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (.f64 t (.f64 1/3 (*.f64 z (sin.f64 y))))))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1/3 b) a))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 (/.f64 a 3) b) 1))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1 b) (/.f64 a 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (.f64 z 1/3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 t (.f64 (sqrt.f64 x) (.f64 (.f64 2/3 (sin.f64 y)) z))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 1/3 t)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 a b) 1/3))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 1/3 b) a))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 z 3) t)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (+.f64 1 (cos.f64 (.f64 z (.f64 1/3 t)))) 1)) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 (/.f64 a 3) b) 1))
(-.f64 (.f64 (.f64 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 -1/3 b) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(fma.f64 (.f64 (cos.f64 y) 2) (sqrt.f64 x) (/.f64 (.f64 a -1/3) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)) (/.f64 (.f64 a -1/3) b))
(-.f64 (pow.f64 (cbrt.f64 (.f64 2 (sqrt.f64 x))) 3) (/.f64 a (.f64 b 3)))
(-.f64 (pow.f64 (.f64 (cbrt.f64 2) (pow.f64 x 1/6)) 3) (/.f64 a (.f64 b 3)))
(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2))) (/.f64 a (*.f64 b 3)))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (.f64 -1/3 (.f64 t z)))) (/.f64 (.f64 a -1/3) b))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (+.f64 0 (.f64 z (*.f64 (sin.f64 y) t))))) (sqrt.f64 x)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (pow.f64 (.f64 3 (/.f64 b a)) -1))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (/.f64 (/.f64 3 z) t) -1)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (.f64 1/3 (+.f64 0 (.f64 z (.f64 (sin.f64 y) t)))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) y)) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.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 (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)) (exp.f64 (log.f64 (/.f64 (/.f64 a 3) b))))
(-.f64 (expm1.f64 (log1p.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) (/.f64 a (*.f64 b 3)))
(log.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))))
(sqrt.f64 (pow.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 2))
(-.f64 (cbrt.f64 (.f64 8 (pow.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) 3))) (/.f64 a (*.f64 b 3)))
(pow.f64 (cbrt.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))) 3)
(pow.f64 (pow.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 3) 1/3)
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (/.f64 (*.f64 a -1/3) b))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (exp.f64 (log.f64 (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (expm1.f64 (log1p.f64 (.f64 z (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (pow.f64 (cbrt.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))) 3) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 1/3 t)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 a 3) b)) 3))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (.f64 z (.f64 1/3 t))) 2))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (sqrt.f64 (.f64 1/3 t)) 2)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 z (.f64 1/3 t)))) 3)) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (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 z (.f64 1/3 t))) 3))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (cbrt.f64 (pow.f64 (.f64 1/3 t) 3))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (pow.f64 (cbrt.f64 (.f64 z (.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 z (pow.f64 (pow.f64 (.f64 1/3 t) 3) 1/3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 t (.f64 z (.f64 1/3 (sin.f64 y))) (cos.f64 y))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (exp.f64 (log.f64 (/.f64 (/.f64 a 3) b))))
(-.f64 (.f64 (sqrt.f64 x) (fma.f64 2 (cos.f64 y) (.f64 (.f64 z (sin.f64 y)) (.f64 t 2/3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (cbrt.f64 (.f64 (pow.f64 (.f64 z t) 3) 1/27))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (.f64 (pow.f64 (.f64 z t) 3) 1/27) 1/3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))) (/.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 (cos.f64 y) (.f64 (.f64 t z) (+.f64 (.f64 1/3 (sin.f64 y)) (.f64 (.f64 t z) (.f64 (cos.f64 y) -1/18)))))) (/.f64 a (*.f64 b 3)))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x 4)) (.f64 (/.f64 (.f64 a -1/3) b) (/.f64 (.f64 a -1/3) b))) (-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (/.f64 (.f64 a -1/3) b)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (.f64 -1/3 (.f64 t z)))) (log.f64 (exp.f64 (.f64 -1/3 (/.f64 a b)))))
(-.f64 (pow.f64 (.f64 (cbrt.f64 2) (.f64 (pow.f64 x 1/6) (cbrt.f64 (cos.f64 y)))) 3) (/.f64 a (*.f64 b 3)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (expm1.f64 (log1p.f64 (.f64 -1/3 (.f64 t z)))))) (/.f64 (.f64 a -1/3) b))
(fma.f64 (.f64 (cos.f64 y) (cbrt.f64 (.f64 x 4))) (cbrt.f64 (sqrt.f64 (.f64 x 4))) (/.f64 (.f64 a -1/3) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (.f64 -1/3 (.f64 t z)))) (sqrt.f64 (pow.f64 (.f64 -1/3 (/.f64 a b)) 2)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cbrt.f64 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 3))) (/.f64 (.f64 a -1/3) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (sqrt.f64 (pow.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) 2))) (/.f64 (.f64 a -1/3) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (pow.f64 (sqrt.f64 (cos.f64 (.f64 -1/3 (.f64 t z)))) 2)) (/.f64 (.f64 a -1/3) b))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (pow.f64 (cbrt.f64 (.f64 (.f64 z (sin.f64 y)) (*.f64 t 1/3))) 3)) (sqrt.f64 x)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (log.f64 (pow.f64 (exp.f64 1/3) t))))) (/.f64 a (.f64 b 3)))
(fma.f64 (.f64 (cos.f64 y) (cbrt.f64 (.f64 x 4))) (cbrt.f64 (.f64 2 (sqrt.f64 x))) (.f64 a (neg.f64 (/.f64 1/3 b))))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))))) (/.f64 a (.f64 b 3)))
(-.f64 (exp.f64 (log.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))))) (/.f64 a (.f64 b 3)))
(fma.f64 (sqrt.f64 x) (.f64 2 (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))) (/.f64 (.f64 a -1/3) b))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.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 (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)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)))) 1)) (/.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 (pow.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))) 3) 1/3) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (pow.f64 (cbrt.f64 (.f64 (.f64 z (sin.f64 y)) (.f64 t 1/3))) 3))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 z (sin.f64 y)) (.f64 t 1/3)))) 1))) (/.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 (pow.f64 (pow.f64 (.f64 z t) 1/3) 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 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (pow.f64 (.f64 z t) 1/3) 1/3))))) (/.f64 a (*.f64 b 3)))

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

Calls

21 calls:

399.0ms	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))
316.0ms	x
110.0ms	a
107.0ms	y
89.0ms	(-.f64 y (/.f64 (*.f64 z t) 3))

Results

Error	Segments	Branch
16.5b	1	`x`
16.5b	1	`y`
16.5b	1	`z`
16.5b	1	`t`
16.5b	1	`a`
16.5b	1	`b`
16.5b	1	`(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))`
16.5b	1	`(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))`
16.5b	1	`(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))`
16.5b	1	`(*.f64 2 (sqrt.f64 x))`
16.5b	1	`(sqrt.f64 x)`
16.5b	1	`(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))`
16.5b	1	`(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))`
16.5b	1	`(-.f64 y (/.f64 (*.f64 z t) 3))`
16.5b	1	`(-.f64 y (/.f64 (*.f64 z t) 3))`
16.5b	1	`(/.f64 (*.f64 z t) 3)`
16.5b	1	`(*.f64 z t)`
16.5b	1	`(/.f64 a (*.f64 b 3))`
16.5b	1	`(/.f64 a (*.f64 b 3))`
16.5b	1	`(*.f64 b 3)`
16.5b	1	`(*.f64 b 3)`

Compiler

Compiled 2264 to 1412 computations (37.6% saved)

regimes157.0ms (0.5%)

Counts

27 → 1

Calls

Call 1

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

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

Calls

10 calls:

17.0ms	z
16.0ms	(*.f64 b 3)
16.0ms	y
15.0ms	x
14.0ms	(*.f64 2 (sqrt.f64 x))

Results

Error	Segments	Branch
16.6b	1	`x`
16.6b	1	`y`
16.6b	1	`z`
16.6b	1	`t`
16.6b	1	`a`
16.6b	1	`b`
16.6b	1	`(*.f64 2 (sqrt.f64 x))`
16.6b	1	`(sqrt.f64 x)`
16.6b	1	`(/.f64 a (*.f64 b 3))`
16.6b	1	`(*.f64 b 3)`

Compiler

Compiled 341 to 225 computations (34% saved)

regimes189.0ms (0.6%)

Counts

26 → 1

Calls

Call 1

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

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

Calls

12 calls:

16.0ms	z
16.0ms	t
16.0ms	a
15.0ms	y
15.0ms	(*.f64 b 3)

Results

Error	Segments	Branch
16.6b	1	`x`
16.6b	1	`y`
16.6b	1	`z`
16.6b	1	`t`
16.6b	1	`a`
16.6b	1	`b`
16.6b	1	`(*.f64 2 (sqrt.f64 x))`
16.6b	1	`(sqrt.f64 x)`
16.6b	1	`(/.f64 a (*.f64 b 3))`
16.6b	1	`(/.f64 a (*.f64 b 3))`
16.6b	1	`(*.f64 b 3)`
16.6b	1	`(*.f64 b 3)`

Compiler

Compiled 348 to 235 computations (32.5% saved)

regimes289.0ms (0.9%)

Counts

25 → 3

Calls

Call 1

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

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

Calls

12 calls:

42.0ms	a
32.0ms	(/.f64 a (*.f64 b 3))
31.0ms	(/.f64 a (*.f64 b 3))
28.0ms	(*.f64 b 3)
26.0ms	b

Results

Error	Segments	Branch
23.3b	1	`x`
23.3b	1	`y`
23.3b	1	`z`
23.3b	1	`t`
22.0b	3	`a`
22.2b	2	`b`
23.3b	1	`(*.f64 2 (sqrt.f64 x))`
23.3b	1	`(sqrt.f64 x)`
19.5b	3	`(/.f64 a (*.f64 b 3))`
19.5b	3	`(/.f64 a (*.f64 b 3))`
22.2b	2	`(*.f64 b 3)`
22.2b	2	`(*.f64 b 3)`

Compiler

Compiled 335 to 228 computations (31.9% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.533701179586933e-121	3.8300157529150828e-109
0.0ms	-4.972912363830742e-111	-4.072213433639752e-111

Compiler

Compiled 34 to 27 computations (20.6% saved)

regimes111.0ms (0.3%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

12 calls:

10.0ms	(sqrt.f64 x)
10.0ms	(*.f64 2 (sqrt.f64 x))
9.0ms	(*.f64 b 3)
9.0ms	(*.f64 b 3)
9.0ms	x

Results

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

Compiler

Compiled 235 to 171 computations (27.2% saved)

regimes105.0ms (0.3%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

10 calls:

29.0ms	t
13.0ms	(/.f64 a (*.f64 b 3))
11.0ms	y
9.0ms	b
8.0ms	(*.f64 2 (sqrt.f64 x))

Results

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

Compiler

Compiled 144 to 112 computations (22.2% saved)

regimes271.0ms (0.8%)

Counts

8 → 5

Calls

Call 1

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

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

Calls

8 calls:

133.0ms	(*.f64 2 (sqrt.f64 x))
26.0ms	a
22.0ms	b
19.0ms	(sqrt.f64 x)
18.0ms	x

Results

Error	Segments	Branch
33.2b	2	`x`
33.0b	3	`y`
33.0b	3	`z`
33.1b	3	`t`
30.2b	5	`a`
30.3b	3	`b`
33.2b	2	`(*.f64 2 (sqrt.f64 x))`
33.2b	2	`(sqrt.f64 x)`

Compiler

Compiled 114 to 89 computations (21.9% saved)

bsearch394.0ms (1.2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
130.0ms	1.4349792429426977e-239	3.107950345871555e-234
85.0ms	-8.608656467251961e-181	-6.701185608114431e-194
77.0ms	-1.5689805700060184e-94	-1.1164196586575525e-94
101.0ms	-2.213882175045397e-23	-4.0040916730320473e-25

Compiler

Compiled 34 to 27 computations (20.6% saved)

regimes156.0ms (0.5%)

Counts

7 → 5

Calls

Call 1

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

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

Calls

8 calls:

40.0ms	y
23.0ms	a
18.0ms	b
15.0ms	(*.f64 2 (sqrt.f64 x))
15.0ms	t

Results

Error	Segments	Branch
33.2b	2	`x`
33.0b	3	`y`
33.0b	3	`z`
33.2b	3	`t`
30.2b	5	`a`
30.3b	3	`b`
33.2b	2	`(*.f64 2 (sqrt.f64 x))`
33.2b	2	`(sqrt.f64 x)`

Compiler

Compiled 107 to 85 computations (20.6% saved)

bsearch449.0ms (1.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
159.0ms	1.4349792429426977e-239	3.107950345871555e-234
111.0ms	-8.608656467251961e-181	-6.701185608114431e-194
108.0ms	-1.5689805700060184e-94	-1.1164196586575525e-94
71.0ms	-2.213882175045397e-23	-4.0040916730320473e-25

Compiler

Compiled 34 to 27 computations (20.6% saved)

regimes73.0ms (0.2%)

Accuracy

Total -6.2b remaining (-18.2%)

Threshold costs -6.2b (-18.2%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

6 calls:

13.0ms	a
12.0ms	b
11.0ms	t
11.0ms	y
11.0ms	x

Results

Error	Segments	Branch
34.3b	1	`x`
34.3b	1	`y`
34.3b	1	`z`
34.3b	1	`t`
34.3b	1	`a`
34.3b	1	`b`

Compiler

Compiled 85 to 66 computations (22.4% saved)

simplify72.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

30×	`*-commutative_binary64`
21×	`+-commutative_binary64`
19×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	701
1	171	701
2	207	701
3	223	701
4	232	701
5	234	701

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 z t) -1200000000000000) (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 (/.f64 a 3) b) 1)) (if (<=.f64 (.f64 z t) 99999999999999998134867772062300415778155607198205813300984837204468478832795008398842977267828545807373626970040225815727702936870449359100155289601680494988872072239402046841988962644563396584878879514845800049027585211004144644909839626131908358862432902604247279245705105301413805838450032640) (-.f64 (.f64 (.f64 2 (sqrt.f64 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))))) (/.f64 a (.f64 b 3))) (-.f64 (.f64 2 (sqrt.f64 x)) (*.f64 (/.f64 (/.f64 a 3) b) 1))))
(if (<=.f64 (.f64 z t) -1200000000000000) (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 (/.f64 a 3) b) 1)) (if (<=.f64 (.f64 z t) 99999999999999998134867772062300415778155607198205813300984837204468478832795008398842977267828545807373626970040225815727702936870449359100155289601680494988872072239402046841988962644563396584878879514845800049027585211004144644909839626131908358862432902604247279245705105301413805838450032640) (-.f64 (.f64 (.f64 2 (sqrt.f64 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)))))) (/.f64 a (.f64 b 3))) (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 (/.f64 a 3) b) 1))))
(if (<=.f64 (.f64 z t) -1200000000000000) (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 (/.f64 a 3) b) 1)) (if (<=.f64 (.f64 z t) 99999999999999998134867772062300415778155607198205813300984837204468478832795008398842977267828545807373626970040225815727702936870449359100155289601680494988872072239402046841988962644563396584878879514845800049027585211004144644909839626131908358862432902604247279245705105301413805838450032640) (-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (.f64 b 3))) (-.f64 (.f64 2 (sqrt.f64 x)) (*.f64 (/.f64 (/.f64 a 3) b) 1))))
(if (<=.f64 (.f64 z t) -1200000000000000) (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 (/.f64 a 3) b) 1)) (if (<=.f64 (.f64 z t) 500) (-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))))) (/.f64 a (.f64 b 3))) (-.f64 (.f64 2 (sqrt.f64 x)) (*.f64 (/.f64 (/.f64 a 3) b) 1))))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 (/.f64 a 3) b) 1))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1/3 b) a))
(if (<=.f64 (/.f64 a (.f64 b 3)) -6092291808370931/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 (/.f64 a 3) b) 1)) (if (<=.f64 (/.f64 a (.f64 b 3)) 5814709794364855/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248) (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 (/.f64 a 3) b) 1))))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 (/.f64 a 3) b) 1))
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(if (<=.f64 a -7533450666085231/340282366920938463463374607431768211456) (/.f64 a (/.f64 b -1/3)) (if (<=.f64 a -5895708288326233/37576681324381331646231689548629392438010920782533117931316655544515344401833735095419183974156299248510959616) (.f64 2 (sqrt.f64 x)) (if (<=.f64 a -8043823908730131/9343878384890255807777119448474196633381331982845050737826186276657715542443371287564109437577976626746659450006721346172290467269376897020421450382791094657540085093089822617769726345721044533248) (pow.f64 (.f64 (/.f64 b a) -3) -1) (if (<=.f64 a 3366603379805541/234609900900146882186598677984664276915992487298421985521184355961332236331850990873356568705635355651517313099522045706849459083321945101930045653332497036251241466330965705541769635934035794134999367747434457067322823095146394284977019183976237427064832) (.f64 2 (sqrt.f64 x)) (pow.f64 (.f64 (/.f64 b a) -3) -1)))))
(if (<=.f64 a -7533450666085231/340282366920938463463374607431768211456) (/.f64 a (/.f64 b -1/3)) (if (<=.f64 a -5895708288326233/37576681324381331646231689548629392438010920782533117931316655544515344401833735095419183974156299248510959616) (.f64 2 (sqrt.f64 x)) (if (<=.f64 a -8043823908730131/9343878384890255807777119448474196633381331982845050737826186276657715542443371287564109437577976626746659450006721346172290467269376897020421450382791094657540085093089822617769726345721044533248) (.f64 (/.f64 -1/3 b) a) (if (<=.f64 a 3366603379805541/234609900900146882186598677984664276915992487298421985521184355961332236331850990873356568705635355651517313099522045706849459083321945101930045653332497036251241466330965705541769635934035794134999367747434457067322823095146394284977019183976237427064832) (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b))))))
(/.f64 a (/.f64 b -1/3))
(*.f64 (/.f64 -1/3 b) a)

Outputs
(if (<=.f64 (.f64 z t) -1200000000000000) (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 (/.f64 a 3) b) 1)) (if (<=.f64 (.f64 z t) 99999999999999998134867772062300415778155607198205813300984837204468478832795008398842977267828545807373626970040225815727702936870449359100155289601680494988872072239402046841988962644563396584878879514845800049027585211004144644909839626131908358862432902604247279245705105301413805838450032640) (-.f64 (.f64 (.f64 2 (sqrt.f64 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))))) (/.f64 a (.f64 b 3))) (-.f64 (.f64 2 (sqrt.f64 x)) (*.f64 (/.f64 (/.f64 a 3) b) 1))))
(if (<=.f64 (.f64 z t) -1200000000000000) (-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 (/.f64 a 3) b)) (if (<=.f64 (.f64 z t) 99999999999999998134867772062300415778155607198205813300984837204468478832795008398842977267828545807373626970040225815727702936870449359100155289601680494988872072239402046841988962644563396584878879514845800049027585211004144644909839626131908358862432902604247279245705105301413805838450032640) (-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (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))) (fma.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3)) (.f64 (sin.f64 (.f64 (.f64 z t) -1/3)) (neg.f64 (sin.f64 y)))))) (/.f64 a (.f64 3 b))) (-.f64 (*.f64 2 (sqrt.f64 x)) (/.f64 (/.f64 a 3) b))))
(if (<=.f64 (.f64 z t) -1200000000000000) (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 (/.f64 a 3) b) 1)) (if (<=.f64 (.f64 z t) 99999999999999998134867772062300415778155607198205813300984837204468478832795008398842977267828545807373626970040225815727702936870449359100155289601680494988872072239402046841988962644563396584878879514845800049027585211004144644909839626131908358862432902604247279245705105301413805838450032640) (-.f64 (.f64 (.f64 2 (sqrt.f64 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)))))) (/.f64 a (.f64 b 3))) (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 (/.f64 a 3) b) 1))))
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(/.f64 a (/.f64 b -1/3))
(*.f64 (/.f64 -1/3 b) a)
(*.f64 a (/.f64 -1/3 b))

Compiler

Compiled 546 to 379 computations (30.6% saved)

soundness0.0ms (0%)

end478.0ms (1.5%)

Remove: (sort z t)
Compiler: Compiled 644 to 384 computations (40.4% saved)