Details

analyze470.0ms (1.9%)

Algorithm

1×

Search

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

Compiler

Compiled 26 to 20 computations (23.1% saved)

sample4.7s (19.1%)

Results

1.2s	5073×	body	256	valid
1.1s	1581×	body	1024	valid
1.1s	4770×	body	256	invalid
713.0ms	802×	body	2048	valid
337.0ms	799×	body	512	valid
268.0ms	1103×	body	256	infinite
3.0ms	1×	body	4096	valid

Bogosity

preprocess108.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1
2
3
4
5

Outputs
0
1
2
3
2
4
5

Call 2

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

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

Symmetry

(sort z t)

Compiler

Compiled 31 to 25 computations (19.4% saved)

simplify76.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

23.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	23.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))
▶	23.4b	(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)

localize41.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (*.f64 z t) 3)
✓	0.2b	(/.f64 a (*.f64 b 3))
✓	0.2b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
✓	24.7b	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))

Compiler

Compiled 83 to 44 computations (47% saved)

series26.0ms (0.1%)

Counts

4 → 120

Calls

33 calls:

Time	Variable		Point	Expression
3.0ms	z	@	0	(.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)))

rewrite114.0ms (0.5%)

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))))))

simplify108.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

245 → 166

Calls

Call 1

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

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

localize54.0ms (0.2%)

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)
✓	0.4b	(*.f64 t -1/3)
✓	24.7b	(cos.f64 (fma.f64 z (*.f64 t -1/3) y))

Compiler

Compiled 66 to 39 computations (40.9% saved)

series19.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

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

rewrite98.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 124

Calls

Call 1

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

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

simplify116.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

208 → 147

Calls

Call 1

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

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

eval210.0ms (0.9%)

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

prune136.0ms (0.6%)

Pruning

51 alts after pruning (51 fresh and 0 done)

	Pruned	Kept	Total
New	262	51	313
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	264	51	315

Error

17.5b

Counts

315 → 51

Alt Table

Click to see full alt table

Status	Error	Program
	23.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (cbrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
	38.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (sqrt.f64 (pow.f64 (/.f64 (/.f64 a 3) b) 2)))
	23.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))))) (/.f64 a (.f64 b 3)))
	31.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z))))) (/.f64 a (*.f64 b 3)))
	38.3b	(fma.f64 (sqrt.f64 x) (.f64 2 (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 z (.f64 t -1/3) y)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 z (.f64 t -1/3) y)))) (sin.f64 1)))) (/.f64 (.f64 a -1/3) b))
	23.3b	(-.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)))
	23.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (expm1.f64 (log1p.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))))) (/.f64 a (.f64 b 3)))
	23.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
	23.5b	(fma.f64 (sqrt.f64 x) (.f64 2 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) 3)) (/.f64 (*.f64 a -1/3) b))
	27.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (sqrt.f64 (pow.f64 (.f64 z (.f64 t 1/3)) 2))))) (/.f64 a (*.f64 b 3)))
	23.4b	(-.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)))
	54.0b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 t -1/3))) 1/3)) y))) (/.f64 (*.f64 a -1/3) b))
	23.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 a b) 1/3))
	23.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)))))) (/.f64 a (.f64 b 3)))
	23.3b	(-.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)))
	23.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (/.f64 (/.f64 3 z) t) -1)))) (/.f64 a (*.f64 b 3)))
	23.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3))))) (/.f64 a (*.f64 b 3)))
	23.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 1/3 b) a))
	23.4b	(-.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)))
	23.7b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (.f64 (pow.f64 (cbrt.f64 b) -2) (/.f64 (.f64 -1/3 a) (cbrt.f64 b))))
	25.7b	(-.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)))
▶	54.1b	(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))
	34.7b	(-.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)))
	23.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 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)))))) (/.f64 a (.f64 b 3)))
	27.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) 2))) (/.f64 a (.f64 b 3)))
▶	19.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
	23.5b	(-.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)))
▶	32.2b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))) 3)) (/.f64 a (.f64 b 3)))
	23.4b	(-.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)))
▶	41.4b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 y (.f64 2 (sin.f64 (.f64 z (.f64 1/3 t))))) (.f64 (cos.f64 (.f64 z (.f64 1/3 t))) (-.f64 2 (.f64 y y))))) (/.f64 a (.f64 b 3)))
	44.9b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (/.f64 (pow.f64 (sqrt.f64 (*.f64 -1/3 a)) 2) b))
	27.3b	(-.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)))
	19.6b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)) (/.f64 (.f64 a -1/3) b))
	35.4b	(-.f64 (pow.f64 (sqrt.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x)))) 2) (/.f64 a (.f64 b 3)))
	23.4b	(fma.f64 (sqrt.f64 x) (.f64 2 (expm1.f64 (log1p.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))) (/.f64 (*.f64 a -1/3) b))
	23.7b	(-.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)))
	32.6b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (cos.f64 y) (+.f64 2 (.f64 -1/9 (.f64 t (.f64 t (.f64 z z)))))) (.f64 (.f64 z (sin.f64 y)) (.f64 t 2/3)))) (/.f64 a (.f64 b 3)))
	23.3b	(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))
	40.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (sqrt.f64 (.f64 z t)) (.f64 (sqrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
	40.5b	(-.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)))
	45.2b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (pow.f64 (pow.f64 (.f64 t -1/3) 3) 1/3) y))) (/.f64 (*.f64 a -1/3) b))
	23.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2) (cbrt.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (.f64 b 3)))
	31.1b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (.f64 t (.f64 z -1/3)))) (/.f64 (.f64 a -1/3) b))
	28.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (expm1.f64 (log1p.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
	23.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 1 b) (/.f64 a 3)))
	38.1b	(-.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)))
▶	31.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 1/3 t)))) (/.f64 a (*.f64 b 3)))
	27.3b	(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))
	24.1b	(fma.f64 (sqrt.f64 x) (.f64 2 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))))) (/.f64 (.f64 a -1/3) b))
	23.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 z (/.f64 1 (/.f64 3 t)))))) (/.f64 a (.f64 b 3)))
	23.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 z 3) t)))) (/.f64 a (.f64 b 3)))

Compiler

Compiled 2980 to 2258 computations (24.2% 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)

series12.0ms (0%)

Counts

2 → 49

Calls

18 calls:

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

rewrite93.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 146

Calls

Call 1

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

Outputs

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

simplify61.0ms (0.2%)

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)))

localize32.0ms (0.1%)

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))
✓	0.4b	(*.f64 1/3 t)
✓	29.2b	(cos.f64 (.f64 z (.f64 1/3 t)))

Compiler

Compiled 70 to 44 computations (37.1% saved)

series5.0ms (0%)

Counts

3 → 48

Calls

15 calls:

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

rewrite59.0ms (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))))))))

simplify232.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	32	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))

localize67.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.6b	(.f64 y (.f64 2 (sin.f64 (.f64 z (.f64 1/3 t)))))
✓	2.0b	(.f64 (sqrt.f64 x) (+.f64 (.f64 y (.f64 2 (sin.f64 (.f64 z (.f64 1/3 t))))) (.f64 (cos.f64 (.f64 z (.f64 1/3 t))) (-.f64 2 (*.f64 y y)))))
	29.2b	(cos.f64 (.f64 z (.f64 1/3 t)))
✓	29.4b	(sin.f64 (.f64 z (.f64 1/3 t)))

Compiler

Compiled 164 to 102 computations (37.8% saved)

series29.0ms (0.1%)

Counts

3 → 96

Calls

27 calls:

Time	Variable		Point	Expression
6.0ms	y	@	inf	(.f64 y (.f64 2 (sin.f64 (.f64 z (.f64 1/3 t)))))
2.0ms	z	@	inf	(.f64 (sqrt.f64 x) (+.f64 (.f64 y (.f64 2 (sin.f64 (.f64 z (.f64 1/3 t))))) (.f64 (cos.f64 (.f64 z (.f64 1/3 t))) (-.f64 2 (*.f64 y y)))))
2.0ms	t	@	inf	(.f64 (sqrt.f64 x) (+.f64 (.f64 y (.f64 2 (sin.f64 (.f64 z (.f64 1/3 t))))) (.f64 (cos.f64 (.f64 z (.f64 1/3 t))) (-.f64 2 (*.f64 y y)))))
1.0ms	z	@	-inf	(.f64 (sqrt.f64 x) (+.f64 (.f64 y (.f64 2 (sin.f64 (.f64 z (.f64 1/3 t))))) (.f64 (cos.f64 (.f64 z (.f64 1/3 t))) (-.f64 2 (*.f64 y y)))))
1.0ms	y	@	0	(.f64 y (.f64 2 (sin.f64 (.f64 z (.f64 1/3 t)))))

rewrite106.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

564×	`fma-def_binary64`
363×	`expm1-udef_binary64`
363×	`log1p-udef_binary64`
305×	`log-pow_binary64`
259×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	62
1	411	62
2	5464	62

Stop Event

1×	node limit

Counts

3 → 98

Calls

Call 1

Inputs

(sin.f64 (*.f64 z (*.f64 1/3 t)))

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

(*.f64 y (*.f64 2 (sin.f64 (*.f64 z (*.f64 1/3 t)))))

Outputs

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

simplify114.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

740×	`associate-l_binary64`
694×	`fma-def_binary64`
646×	`associate-r_binary64`
604×	`unswap-sqr_binary64`
325×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	91	2885
1	279	2370
2	898	2318
3	4498	2294
4	7778	2294

Stop Event

1×	node limit

Counts

194 → 139

Calls

Call 1

Inputs
(.f64 1/3 (.f64 t z))
(+.f64 (.f64 1/3 (.f64 t z)) (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))))
(+.f64 (.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5))) (+.f64 (.f64 1/3 (.f64 t z)) (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)))))
(+.f64 (.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5))) (+.f64 (.f64 1/3 (.f64 t z)) (+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (.f64 -1/11022480 (.f64 (pow.f64 t 7) (pow.f64 z 7))))))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(.f64 1/3 (.f64 t z))
(+.f64 (.f64 1/3 (.f64 t z)) (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))))
(+.f64 (.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5))) (+.f64 (.f64 1/3 (.f64 t z)) (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)))))
(+.f64 (.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5))) (+.f64 (.f64 1/3 (.f64 t z)) (+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (.f64 -1/11022480 (.f64 (pow.f64 t 7) (pow.f64 z 7))))))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (sqrt.f64 x)))
(+.f64 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) y) (sqrt.f64 x))) (.f64 2 (.f64 (cos.f64 (.f64 1/3 (*.f64 t z))) (sqrt.f64 x))))
(+.f64 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) y) (sqrt.f64 x))) (+.f64 (.f64 -1 (.f64 (.f64 (pow.f64 y 2) (cos.f64 (.f64 1/3 (.f64 t z)))) (sqrt.f64 x))) (.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (sqrt.f64 x)))))
(+.f64 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) y) (sqrt.f64 x))) (+.f64 (.f64 -1 (.f64 (.f64 (pow.f64 y 2) (cos.f64 (.f64 1/3 (.f64 t z)))) (sqrt.f64 x))) (.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (sqrt.f64 x)))))
(.f64 -1 (.f64 (.f64 (pow.f64 y 2) (cos.f64 (.f64 1/3 (*.f64 t z)))) (sqrt.f64 x)))
(+.f64 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) y) (sqrt.f64 x))) (.f64 -1 (.f64 (.f64 (pow.f64 y 2) (cos.f64 (.f64 1/3 (.f64 t z)))) (sqrt.f64 x))))
(+.f64 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) y) (sqrt.f64 x))) (+.f64 (.f64 -1 (.f64 (.f64 (pow.f64 y 2) (cos.f64 (.f64 1/3 (.f64 t z)))) (sqrt.f64 x))) (.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (sqrt.f64 x)))))
(+.f64 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) y) (sqrt.f64 x))) (+.f64 (.f64 -1 (.f64 (.f64 (pow.f64 y 2) (cos.f64 (.f64 1/3 (.f64 t z)))) (sqrt.f64 x))) (.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (sqrt.f64 x)))))
(.f64 -1 (.f64 (.f64 (pow.f64 y 2) (cos.f64 (.f64 1/3 (*.f64 t z)))) (sqrt.f64 x)))
(+.f64 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) y) (sqrt.f64 x))) (.f64 -1 (.f64 (.f64 (pow.f64 y 2) (cos.f64 (.f64 1/3 (.f64 t z)))) (sqrt.f64 x))))
(+.f64 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) y) (sqrt.f64 x))) (+.f64 (.f64 -1 (.f64 (.f64 (pow.f64 y 2) (cos.f64 (.f64 1/3 (.f64 t z)))) (sqrt.f64 x))) (.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (sqrt.f64 x)))))
(+.f64 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) y) (sqrt.f64 x))) (+.f64 (.f64 -1 (.f64 (.f64 (pow.f64 y 2) (cos.f64 (.f64 1/3 (.f64 t z)))) (sqrt.f64 x))) (.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (sqrt.f64 x)))))
(*.f64 (-.f64 2 (pow.f64 y 2)) (sqrt.f64 x))
(+.f64 (.f64 (-.f64 2 (pow.f64 y 2)) (sqrt.f64 x)) (.f64 2/3 (.f64 (.f64 y (*.f64 t z)) (sqrt.f64 x))))
(+.f64 (.f64 -1/18 (.f64 (.f64 (-.f64 2 (pow.f64 y 2)) (.f64 (pow.f64 t 2) (pow.f64 z 2))) (sqrt.f64 x))) (+.f64 (.f64 (-.f64 2 (pow.f64 y 2)) (sqrt.f64 x)) (.f64 2/3 (.f64 (.f64 y (*.f64 t z)) (sqrt.f64 x)))))
(+.f64 (.f64 -1/18 (.f64 (.f64 (-.f64 2 (pow.f64 y 2)) (.f64 (pow.f64 t 2) (pow.f64 z 2))) (sqrt.f64 x))) (+.f64 (.f64 -1/81 (.f64 (.f64 y (.f64 (pow.f64 t 3) (pow.f64 z 3))) (sqrt.f64 x))) (+.f64 (.f64 (-.f64 2 (pow.f64 y 2)) (sqrt.f64 x)) (.f64 2/3 (.f64 (.f64 y (*.f64 t z)) (sqrt.f64 x))))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 (-.f64 2 (pow.f64 y 2)) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 2 (.f64 y (sin.f64 (.f64 1/3 (.f64 t z)))))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 (-.f64 2 (pow.f64 y 2)) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 2 (.f64 y (sin.f64 (.f64 1/3 (.f64 t z)))))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 (-.f64 2 (pow.f64 y 2)) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 2 (.f64 y (sin.f64 (.f64 1/3 (.f64 t z)))))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 (-.f64 2 (pow.f64 y 2)) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 2 (.f64 y (sin.f64 (.f64 1/3 (.f64 t z)))))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 (-.f64 2 (pow.f64 y 2)) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 2 (.f64 y (sin.f64 (.f64 1/3 (.f64 t z)))))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 (-.f64 2 (pow.f64 y 2)) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 2 (.f64 y (sin.f64 (.f64 1/3 (.f64 t z)))))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 (-.f64 2 (pow.f64 y 2)) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 2 (.f64 y (sin.f64 (.f64 1/3 (.f64 t z)))))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 (-.f64 2 (pow.f64 y 2)) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 2 (.f64 y (sin.f64 (.f64 1/3 (.f64 t z)))))))
(*.f64 (-.f64 2 (pow.f64 y 2)) (sqrt.f64 x))
(+.f64 (.f64 (-.f64 2 (pow.f64 y 2)) (sqrt.f64 x)) (.f64 2/3 (.f64 (.f64 y (*.f64 t z)) (sqrt.f64 x))))
(+.f64 (.f64 -1/18 (.f64 (.f64 (-.f64 2 (pow.f64 y 2)) (.f64 (pow.f64 t 2) (pow.f64 z 2))) (sqrt.f64 x))) (+.f64 (.f64 (-.f64 2 (pow.f64 y 2)) (sqrt.f64 x)) (.f64 2/3 (.f64 (.f64 y (*.f64 t z)) (sqrt.f64 x)))))
(+.f64 (.f64 -1/18 (.f64 (.f64 (-.f64 2 (pow.f64 y 2)) (.f64 (pow.f64 t 2) (pow.f64 z 2))) (sqrt.f64 x))) (+.f64 (.f64 -1/81 (.f64 (.f64 y (.f64 (pow.f64 t 3) (pow.f64 z 3))) (sqrt.f64 x))) (+.f64 (.f64 (-.f64 2 (pow.f64 y 2)) (sqrt.f64 x)) (.f64 2/3 (.f64 (.f64 y (*.f64 t z)) (sqrt.f64 x))))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 (-.f64 2 (pow.f64 y 2)) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 2 (.f64 y (sin.f64 (.f64 1/3 (.f64 t z)))))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 (-.f64 2 (pow.f64 y 2)) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 2 (.f64 y (sin.f64 (.f64 1/3 (.f64 t z)))))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 (-.f64 2 (pow.f64 y 2)) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 2 (.f64 y (sin.f64 (.f64 1/3 (.f64 t z)))))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 (-.f64 2 (pow.f64 y 2)) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 2 (.f64 y (sin.f64 (.f64 1/3 (.f64 t z)))))))
(.f64 (+.f64 (.f64 2 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) y)) (.f64 (-.f64 2 (pow.f64 y 2)) (cos.f64 (.f64 1/3 (.f64 t z))))) (sqrt.f64 x))
(.f64 (+.f64 (.f64 2 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) y)) (.f64 (-.f64 2 (pow.f64 y 2)) (cos.f64 (.f64 1/3 (.f64 t z))))) (sqrt.f64 x))
(.f64 (+.f64 (.f64 2 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) y)) (.f64 (-.f64 2 (pow.f64 y 2)) (cos.f64 (.f64 1/3 (.f64 t z))))) (sqrt.f64 x))
(.f64 (+.f64 (.f64 2 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) y)) (.f64 (-.f64 2 (pow.f64 y 2)) (cos.f64 (.f64 1/3 (.f64 t z))))) (sqrt.f64 x))
(.f64 2 (.f64 y (sin.f64 (.f64 1/3 (.f64 t z)))))
(.f64 2 (.f64 y (sin.f64 (.f64 1/3 (.f64 t z)))))
(.f64 2 (.f64 y (sin.f64 (.f64 1/3 (.f64 t z)))))
(.f64 2 (.f64 y (sin.f64 (.f64 1/3 (.f64 t z)))))
(.f64 2 (.f64 y (sin.f64 (.f64 1/3 (.f64 t z)))))
(.f64 2 (.f64 y (sin.f64 (.f64 1/3 (.f64 t z)))))
(.f64 2 (.f64 y (sin.f64 (.f64 1/3 (.f64 t z)))))
(.f64 2 (.f64 y (sin.f64 (.f64 1/3 (.f64 t z)))))
(.f64 2 (.f64 y (sin.f64 (.f64 1/3 (.f64 t z)))))
(.f64 2 (.f64 y (sin.f64 (.f64 1/3 (.f64 t z)))))
(.f64 2 (.f64 y (sin.f64 (.f64 1/3 (.f64 t z)))))
(.f64 2 (.f64 y (sin.f64 (.f64 1/3 (.f64 t z)))))
(.f64 2/3 (.f64 y (*.f64 t z)))
(+.f64 (.f64 -1/81 (.f64 y (.f64 (pow.f64 t 3) (pow.f64 z 3)))) (.f64 2/3 (.f64 y (.f64 t z))))
(+.f64 (.f64 -1/81 (.f64 y (.f64 (pow.f64 t 3) (pow.f64 z 3)))) (+.f64 (.f64 1/14580 (.f64 y (.f64 (pow.f64 t 5) (pow.f64 z 5)))) (.f64 2/3 (.f64 y (*.f64 t z)))))
(+.f64 (.f64 -1/81 (.f64 y (.f64 (pow.f64 t 3) (pow.f64 z 3)))) (+.f64 (.f64 -1/5511240 (.f64 y (.f64 (pow.f64 t 7) (pow.f64 z 7)))) (+.f64 (.f64 1/14580 (.f64 y (.f64 (pow.f64 t 5) (pow.f64 z 5)))) (.f64 2/3 (.f64 y (.f64 t z))))))
(.f64 2 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) y))
(.f64 2 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) y))
(.f64 2 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) y))
(.f64 2 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) y))
(.f64 2 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) y))
(.f64 2 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) y))
(.f64 2 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) y))
(.f64 2 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) y))
(.f64 2/3 (.f64 y (*.f64 t z)))
(+.f64 (.f64 -1/81 (.f64 y (.f64 (pow.f64 t 3) (pow.f64 z 3)))) (.f64 2/3 (.f64 y (.f64 t z))))
(+.f64 (.f64 -1/81 (.f64 y (.f64 (pow.f64 t 3) (pow.f64 z 3)))) (+.f64 (.f64 1/14580 (.f64 y (.f64 (pow.f64 t 5) (pow.f64 z 5)))) (.f64 2/3 (.f64 y (*.f64 t z)))))
(+.f64 (.f64 -1/81 (.f64 y (.f64 (pow.f64 t 3) (pow.f64 z 3)))) (+.f64 (.f64 -1/5511240 (.f64 y (.f64 (pow.f64 t 7) (pow.f64 z 7)))) (+.f64 (.f64 1/14580 (.f64 y (.f64 (pow.f64 t 5) (pow.f64 z 5)))) (.f64 2/3 (.f64 y (.f64 t z))))))
(.f64 2 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) y))
(.f64 2 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) y))
(.f64 2 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) y))
(.f64 2 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) y))
(.f64 2 (.f64 y (sin.f64 (.f64 1/3 (.f64 t z)))))
(.f64 2 (.f64 y (sin.f64 (.f64 1/3 (.f64 t z)))))
(.f64 2 (.f64 y (sin.f64 (.f64 1/3 (.f64 t z)))))
(.f64 2 (.f64 y (sin.f64 (.f64 1/3 (.f64 t z)))))

Outputs
(.f64 1/3 (.f64 t z))
(.f64 z (.f64 1/3 t))
(+.f64 (.f64 1/3 (.f64 t z)) (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))))
(fma.f64 1/3 (.f64 t z) (.f64 (*.f64 -1/162 (pow.f64 t 3)) (pow.f64 z 3)))
(fma.f64 1/3 (.f64 t z) (.f64 -1/162 (*.f64 (pow.f64 t 3) (pow.f64 z 3))))
(fma.f64 1/3 (.f64 t z) (.f64 (pow.f64 z 3) (*.f64 -1/162 (pow.f64 t 3))))
(+.f64 (.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5))) (+.f64 (.f64 1/3 (.f64 t z)) (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)))))
(fma.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)) (fma.f64 1/3 (.f64 t z) (.f64 (.f64 -1/162 (pow.f64 t 3)) (pow.f64 z 3))))
(fma.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)) (fma.f64 1/3 (.f64 t z) (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)))))
(fma.f64 1/3 (.f64 t z) (fma.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)) (.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)))))
(fma.f64 (pow.f64 z 3) (.f64 -1/162 (pow.f64 t 3)) (fma.f64 1/3 (.f64 t z) (.f64 (pow.f64 t 5) (.f64 1/29160 (pow.f64 z 5)))))
(+.f64 (.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5))) (+.f64 (.f64 1/3 (.f64 t z)) (+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (.f64 -1/11022480 (.f64 (pow.f64 t 7) (pow.f64 z 7))))))
(fma.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)) (fma.f64 1/3 (.f64 t z) (fma.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)) (.f64 -1/11022480 (*.f64 (pow.f64 t 7) (pow.f64 z 7))))))
(fma.f64 1/3 (.f64 t z) (fma.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)) (fma.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)) (.f64 -1/11022480 (*.f64 (pow.f64 t 7) (pow.f64 z 7))))))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 z (.f64 1/3 t)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 z (.f64 1/3 t)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 z (.f64 1/3 t)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 z (.f64 1/3 t)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 z (.f64 1/3 t)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 z (.f64 1/3 t)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 z (.f64 1/3 t)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 z (.f64 1/3 t)))
(.f64 1/3 (.f64 t z))
(.f64 z (.f64 1/3 t))
(+.f64 (.f64 1/3 (.f64 t z)) (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))))
(fma.f64 1/3 (.f64 t z) (.f64 (*.f64 -1/162 (pow.f64 t 3)) (pow.f64 z 3)))
(fma.f64 1/3 (.f64 t z) (.f64 -1/162 (*.f64 (pow.f64 t 3) (pow.f64 z 3))))
(fma.f64 1/3 (.f64 t z) (.f64 (pow.f64 z 3) (*.f64 -1/162 (pow.f64 t 3))))
(+.f64 (.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5))) (+.f64 (.f64 1/3 (.f64 t z)) (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)))))
(fma.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)) (fma.f64 1/3 (.f64 t z) (.f64 (.f64 -1/162 (pow.f64 t 3)) (pow.f64 z 3))))
(fma.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)) (fma.f64 1/3 (.f64 t z) (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)))))
(fma.f64 1/3 (.f64 t z) (fma.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)) (.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)))))
(fma.f64 (pow.f64 z 3) (.f64 -1/162 (pow.f64 t 3)) (fma.f64 1/3 (.f64 t z) (.f64 (pow.f64 t 5) (.f64 1/29160 (pow.f64 z 5)))))
(+.f64 (.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5))) (+.f64 (.f64 1/3 (.f64 t z)) (+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (.f64 -1/11022480 (.f64 (pow.f64 t 7) (pow.f64 z 7))))))
(fma.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)) (fma.f64 1/3 (.f64 t z) (fma.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)) (.f64 -1/11022480 (*.f64 (pow.f64 t 7) (pow.f64 z 7))))))
(fma.f64 1/3 (.f64 t z) (fma.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)) (fma.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)) (.f64 -1/11022480 (*.f64 (pow.f64 t 7) (pow.f64 z 7))))))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 z (.f64 1/3 t)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 z (.f64 1/3 t)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 z (.f64 1/3 t)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 z (.f64 1/3 t)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 z (.f64 1/3 t)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 z (.f64 1/3 t)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 z (.f64 1/3 t)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 z (.f64 1/3 t)))
(.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (sqrt.f64 x)))
(.f64 (.f64 2 (cos.f64 (.f64 1/3 (.f64 t z)))) (sqrt.f64 x))
(.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (.f64 (sqrt.f64 x) 2))
(.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 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) y) (sqrt.f64 x))) (.f64 2 (.f64 (cos.f64 (.f64 1/3 (*.f64 t z))) (sqrt.f64 x))))
(.f64 2 (+.f64 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (.f64 y (sqrt.f64 x))) (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (sqrt.f64 x))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) y) (cos.f64 (.f64 1/3 (*.f64 t z))))))
(.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 (sin.f64 (.f64 1/3 (.f64 t z))) y (cos.f64 (.f64 1/3 (.f64 t z)))))
(.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 (sin.f64 (.f64 z (.f64 1/3 t))) y (cos.f64 (.f64 z (.f64 1/3 t)))))
(+.f64 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) y) (sqrt.f64 x))) (+.f64 (.f64 -1 (.f64 (.f64 (pow.f64 y 2) (cos.f64 (.f64 1/3 (.f64 t z)))) (sqrt.f64 x))) (.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (sqrt.f64 x)))))
(fma.f64 2 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (.f64 y (sqrt.f64 x))) (fma.f64 -1 (.f64 (sqrt.f64 x) (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (.f64 y y))) (.f64 (.f64 2 (cos.f64 (.f64 1/3 (*.f64 t z)))) (sqrt.f64 x))))
(.f64 (sqrt.f64 x) (fma.f64 2 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) y) (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (-.f64 2 (.f64 y y)))))
(.f64 (sqrt.f64 x) (fma.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (.f64 2 y) (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (-.f64 2 (.f64 y y)))))
(.f64 (sqrt.f64 x) (fma.f64 (sin.f64 (.f64 z (.f64 1/3 t))) (.f64 2 y) (.f64 (cos.f64 (.f64 z (*.f64 1/3 t))) (neg.f64 (fma.f64 y y -2)))))
(+.f64 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) y) (sqrt.f64 x))) (+.f64 (.f64 -1 (.f64 (.f64 (pow.f64 y 2) (cos.f64 (.f64 1/3 (.f64 t z)))) (sqrt.f64 x))) (.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (sqrt.f64 x)))))
(fma.f64 2 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (.f64 y (sqrt.f64 x))) (fma.f64 -1 (.f64 (sqrt.f64 x) (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (.f64 y y))) (.f64 (.f64 2 (cos.f64 (.f64 1/3 (*.f64 t z)))) (sqrt.f64 x))))
(.f64 (sqrt.f64 x) (fma.f64 2 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) y) (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (-.f64 2 (.f64 y y)))))
(.f64 (sqrt.f64 x) (fma.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (.f64 2 y) (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (-.f64 2 (.f64 y y)))))
(.f64 (sqrt.f64 x) (fma.f64 (sin.f64 (.f64 z (.f64 1/3 t))) (.f64 2 y) (.f64 (cos.f64 (.f64 z (*.f64 1/3 t))) (neg.f64 (fma.f64 y y -2)))))
(.f64 -1 (.f64 (.f64 (pow.f64 y 2) (cos.f64 (.f64 1/3 (*.f64 t z)))) (sqrt.f64 x)))
(neg.f64 (.f64 (sqrt.f64 x) (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (*.f64 y y))))
(.f64 (sqrt.f64 x) (.f64 (.f64 y (neg.f64 y)) (cos.f64 (.f64 1/3 (*.f64 t z)))))
(.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (.f64 (sqrt.f64 x) (*.f64 y (neg.f64 y))))
(.f64 (cos.f64 (.f64 z (.f64 1/3 t))) (.f64 (sqrt.f64 x) (*.f64 y (neg.f64 y))))
(+.f64 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) y) (sqrt.f64 x))) (.f64 -1 (.f64 (.f64 (pow.f64 y 2) (cos.f64 (.f64 1/3 (.f64 t z)))) (sqrt.f64 x))))
(fma.f64 2 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (.f64 y (sqrt.f64 x))) (neg.f64 (.f64 (sqrt.f64 x) (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (*.f64 y y)))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (.f64 2 y)) (.f64 (.f64 y (neg.f64 y)) (cos.f64 (.f64 1/3 (*.f64 t z))))))
(.f64 (sqrt.f64 x) (fma.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (.f64 2 y) (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (.f64 y (neg.f64 y)))))
(.f64 (.f64 (sqrt.f64 x) y) (-.f64 (.f64 (sin.f64 (.f64 z (.f64 1/3 t))) 2) (.f64 (cos.f64 (.f64 z (.f64 1/3 t))) y)))
(.f64 (.f64 (sqrt.f64 x) y) (fma.f64 (sin.f64 (.f64 z (.f64 1/3 t))) 2 (.f64 (cos.f64 (.f64 z (*.f64 1/3 t))) (neg.f64 y))))
(+.f64 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) y) (sqrt.f64 x))) (+.f64 (.f64 -1 (.f64 (.f64 (pow.f64 y 2) (cos.f64 (.f64 1/3 (.f64 t z)))) (sqrt.f64 x))) (.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (sqrt.f64 x)))))
(fma.f64 2 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (.f64 y (sqrt.f64 x))) (fma.f64 -1 (.f64 (sqrt.f64 x) (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (.f64 y y))) (.f64 (.f64 2 (cos.f64 (.f64 1/3 (*.f64 t z)))) (sqrt.f64 x))))
(.f64 (sqrt.f64 x) (fma.f64 2 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) y) (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (-.f64 2 (.f64 y y)))))
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(fma.f64 -1/81 (.f64 (.f64 (pow.f64 t 3) (pow.f64 z 3)) y) (fma.f64 1/14580 (.f64 (.f64 y (pow.f64 t 5)) (pow.f64 z 5)) (.f64 2/3 (.f64 (*.f64 t z) y))))
(fma.f64 -1/81 (.f64 (.f64 (pow.f64 t 3) (pow.f64 z 3)) y) (fma.f64 2/3 (.f64 z (.f64 t y)) (.f64 (.f64 (pow.f64 t 5) (pow.f64 z 5)) (*.f64 y 1/14580))))
(fma.f64 (.f64 t z) (.f64 y 2/3) (.f64 y (+.f64 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) -1/81)) (.f64 (pow.f64 t 5) (*.f64 (pow.f64 z 5) 1/14580)))))
(.f64 y (+.f64 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) -1/81)) (+.f64 (.f64 (pow.f64 t 5) (.f64 (pow.f64 z 5) 1/14580)) (.f64 t (*.f64 z 2/3)))))
(+.f64 (.f64 -1/81 (.f64 y (.f64 (pow.f64 t 3) (pow.f64 z 3)))) (+.f64 (.f64 -1/5511240 (.f64 y (.f64 (pow.f64 t 7) (pow.f64 z 7)))) (+.f64 (.f64 1/14580 (.f64 y (.f64 (pow.f64 t 5) (pow.f64 z 5)))) (.f64 2/3 (.f64 y (.f64 t z))))))
(fma.f64 -1/81 (.f64 (.f64 (pow.f64 t 3) (pow.f64 z 3)) y) (fma.f64 -1/5511240 (.f64 (.f64 y (pow.f64 t 7)) (pow.f64 z 7)) (fma.f64 1/14580 (.f64 (.f64 y (pow.f64 t 5)) (pow.f64 z 5)) (.f64 2/3 (.f64 (*.f64 t z) y)))))
(fma.f64 -1/81 (.f64 (.f64 (pow.f64 t 3) (pow.f64 z 3)) y) (fma.f64 -1/5511240 (.f64 (pow.f64 z 7) (.f64 (pow.f64 t 7) y)) (fma.f64 2/3 (.f64 z (.f64 t y)) (.f64 (.f64 (pow.f64 t 5) (pow.f64 z 5)) (*.f64 y 1/14580)))))
(fma.f64 (.f64 (pow.f64 t 3) (pow.f64 z 3)) (.f64 y -1/81) (fma.f64 (.f64 t z) (.f64 y 2/3) (.f64 y (+.f64 (.f64 (pow.f64 t 5) (.f64 (pow.f64 z 5) 1/14580)) (.f64 (pow.f64 t 7) (*.f64 (pow.f64 z 7) -1/5511240))))))
(.f64 y (+.f64 (+.f64 (.f64 t (.f64 z 2/3)) (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) -1/81))) (+.f64 (.f64 (pow.f64 t 7) (.f64 (pow.f64 z 7) -1/5511240)) (.f64 (pow.f64 t 5) (*.f64 (pow.f64 z 5) 1/14580)))))
(.f64 2 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) y))
(.f64 (.f64 2 y) (sin.f64 (.f64 1/3 (.f64 t z))))
(.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (.f64 2 y))
(.f64 (sin.f64 (.f64 z (.f64 1/3 t))) (.f64 2 y))
(.f64 2 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) y))
(.f64 (.f64 2 y) (sin.f64 (.f64 1/3 (.f64 t z))))
(.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (.f64 2 y))
(.f64 (sin.f64 (.f64 z (.f64 1/3 t))) (.f64 2 y))
(.f64 2 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) y))
(.f64 (.f64 2 y) (sin.f64 (.f64 1/3 (.f64 t z))))
(.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (.f64 2 y))
(.f64 (sin.f64 (.f64 z (.f64 1/3 t))) (.f64 2 y))
(.f64 2 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) y))
(.f64 (.f64 2 y) (sin.f64 (.f64 1/3 (.f64 t z))))
(.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (.f64 2 y))
(.f64 (sin.f64 (.f64 z (.f64 1/3 t))) (.f64 2 y))
(.f64 2 (.f64 y (sin.f64 (.f64 1/3 (.f64 t z)))))
(.f64 (.f64 2 y) (sin.f64 (.f64 1/3 (.f64 t z))))
(.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (.f64 2 y))
(.f64 (sin.f64 (.f64 z (.f64 1/3 t))) (.f64 2 y))
(.f64 2 (.f64 y (sin.f64 (.f64 1/3 (.f64 t z)))))
(.f64 (.f64 2 y) (sin.f64 (.f64 1/3 (.f64 t z))))
(.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (.f64 2 y))
(.f64 (sin.f64 (.f64 z (.f64 1/3 t))) (.f64 2 y))
(.f64 2 (.f64 y (sin.f64 (.f64 1/3 (.f64 t z)))))
(.f64 (.f64 2 y) (sin.f64 (.f64 1/3 (.f64 t z))))
(.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (.f64 2 y))
(.f64 (sin.f64 (.f64 z (.f64 1/3 t))) (.f64 2 y))
(.f64 2 (.f64 y (sin.f64 (.f64 1/3 (.f64 t z)))))
(.f64 (.f64 2 y) (sin.f64 (.f64 1/3 (.f64 t z))))
(.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (.f64 2 y))
(.f64 (sin.f64 (.f64 z (.f64 1/3 t))) (.f64 2 y))

localize50.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (*.f64 2 (sqrt.f64 x)))
✓	0.4b	(pow.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (*.f64 2 (sqrt.f64 x))) 3)
✓	20.8b	(cbrt.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (*.f64 2 (sqrt.f64 x))) 3))
✓	24.6b	(cos.f64 (fma.f64 (*.f64 z t) -1/3 y))

Compiler

Compiled 107 to 59 computations (44.9% saved)

series104.0ms (0.4%)

Counts

4 → 144

Calls

45 calls:

Time	Variable		Point	Expression
41.0ms	x	@	inf	(.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (*.f64 2 (sqrt.f64 x)))
24.0ms	x	@	-inf	(cbrt.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (*.f64 2 (sqrt.f64 x))) 3))
4.0ms	x	@	0	(pow.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (*.f64 2 (sqrt.f64 x))) 3)
3.0ms	x	@	-inf	(pow.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (*.f64 2 (sqrt.f64 x))) 3)
3.0ms	y	@	0	(pow.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (*.f64 2 (sqrt.f64 x))) 3)

rewrite99.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	67
1	330	67
2	3543	67

Stop Event

1×	node limit

Counts

4 → 125

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cos.f64 (.f64 z (.f64 t -1/3))) (cos.f64 y) (neg.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t -1/3)))))) (fma.f64 (neg.f64 (sin.f64 y)) (sin.f64 (.f64 z (.f64 t -1/3))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 z (.f64 t -1/3) y)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 z (.f64 t -1/3) y)))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (.f64 z (.f64 t -1/3))) (cos.f64 y)) (.f64 (sin.f64 (.f64 z (.f64 t -1/3))) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t -1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (.f64 (.f64 z (.f64 t -1/3)) 1)) (cos.f64 y)) (.f64 (sin.f64 (.f64 (.f64 z (.f64 t -1/3)) 1)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) 2) (cbrt.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (sqrt.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 (.f64 z (.f64 t -1/3))) (cos.f64 y) (neg.f64 (.f64 (sin.f64 (.f64 z (.f64 t -1/3))) (sin.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2) (sqrt.f64 x)) (cos.f64 (fma.f64 z (.f64 t -1/3) y)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2) (sqrt.f64 x)) (cos.f64 (fma.f64 z (.f64 t -1/3) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 2) (sqrt.f64 x)) (cos.f64 (fma.f64 z (.f64 t -1/3) y))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 2) (sqrt.f64 x)) (cos.f64 (fma.f64 z (.f64 t -1/3) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 x) (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (fma.f64 z (.f64 t -1/3) y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x 4)) (.f64 (cbrt.f64 (.f64 2 (sqrt.f64 x))) (cos.f64 (fma.f64 z (.f64 t -1/3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) 2) (.f64 (cbrt.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (.f64 2 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x)))) (cbrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2))) (cbrt.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 2 (sqrt.f64 x))) (.f64 (sqrt.f64 (.f64 2 (sqrt.f64 x))) (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))) (.f64 (sqrt.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (.f64 2 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x)))) (sqrt.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (cbrt.f64 (.f64 x 4))) (cbrt.f64 (.f64 2 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (sqrt.f64 (.f64 2 (sqrt.f64 x)))) (sqrt.f64 (.f64 2 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) 2)) (cbrt.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))) (sqrt.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2) 1) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2) (cbrt.f64 x)) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2) (pow.f64 x 1/4)) (pow.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x))) 6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x))) 9) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x))) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 2) (sqrt.f64 x)) (cos.f64 (fma.f64 z (.f64 t -1/3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (cos.f64 (fma.f64 z (.f64 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 z (.f64 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 z (.f64 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 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (*.f64 2 (sqrt.f64 x))))) 1/3))))))
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t -1/3) y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (sqrt.f64 x)) (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 (.f64 x 4) (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x))) (.f64 (.f64 x 4) (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x))) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2)) (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2))) (.f64 (cbrt.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x)))) (.f64 (.f64 x 4) (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x)))) (.f64 (sqrt.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x)))) (.f64 (.f64 x 4) (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 3) (.f64 8 (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 8 (pow.f64 x 3/2)) (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x))) 3/2) (pow.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2) (.f64 (sqrt.f64 x) (.f64 (.f64 x 4) (pow.f64 (cos.f64 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x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2)) (sqrt.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x))))) (sqrt.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2)) (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x))) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 3 (log.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (*.f64 2 (sqrt.f64 x))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2) (sqrt.f64 x)) (cos.f64 (fma.f64 z (.f64 t -1/3) y)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2) (sqrt.f64 x)) (cos.f64 (fma.f64 z (.f64 t -1/3) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 2) (sqrt.f64 x)) (cos.f64 (fma.f64 z (.f64 t -1/3) y))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 2) (sqrt.f64 x)) (cos.f64 (fma.f64 z (.f64 t -1/3) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x))) 6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x))) 9) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x))) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 2) (sqrt.f64 x)) (cos.f64 (fma.f64 z (.f64 t -1/3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (*.f64 2 (sqrt.f64 x))))) 1/3))))))

simplify160.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	284	4998
1	961	4836
2	3869	4338

Stop Event

1×	node limit

Counts

269 → 163

Calls

Call 1

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

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

localize95.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 a -1/3)
	0.4b	(*.f64 t -1/3)
✓	1.4b	(exp.f64 (log.f64 (*.f64 t -1/3)))
✓	6.3b	(cos.f64 (fma.f64 z (exp.f64 (log.f64 (*.f64 t -1/3))) y))

Compiler

Compiled 83 to 54 computations (34.9% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite59.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

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

Outputs

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

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

simplify80.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

90 → 61

Calls

Call 1

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

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

eval696.0ms (2.8%)

Compiler: Compiled 22298 to 13981 computations (37.3% saved)

prune363.0ms (1.5%)

Pruning

94 alts after pruning (91 fresh and 3 done)

	Pruned	Kept	Total
New	664	63	727
Fresh	18	28	46
Picked	0	1	1
Done	2	2	4
Total	684	94	778

Error

17.1b

Counts

778 → 94

Alt Table

Click to see full alt table

Status	Error	Program
	23.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (cbrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
▶	38.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (sqrt.f64 (pow.f64 (/.f64 (/.f64 a 3) b) 2)))
	37.3b	(pow.f64 (sqrt.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))) 2)
	23.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))))) (/.f64 a (.f64 b 3)))
	31.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (-.f64 (+.f64 1 (.f64 1/3 t)) 1)))) (/.f64 a (*.f64 b 3)))
	31.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (+.f64 1 (cos.f64 (.f64 z (.f64 1/3 t)))) 1)) (/.f64 a (*.f64 b 3)))
	38.3b	(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))
	49.6b	(-.f64 (cbrt.f64 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x))) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x))) 3)))))) (/.f64 a (*.f64 b 3)))
	23.3b	(-.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)))
	20.5b	(pow.f64 (cbrt.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))) 3)
	27.4b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2))) 3/2) (/.f64 a (.f64 b 3)))
	42.6b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 z y) (.f64 t 2/3)) (.f64 (cos.f64 (.f64 z (.f64 1/3 t))) (-.f64 2 (.f64 y y))))) (/.f64 a (*.f64 b 3)))
	50.8b	(-.f64 (.f64 (cos.f64 (.f64 z (.f64 1/3 t))) (.f64 (sqrt.f64 x) (.f64 y (neg.f64 y)))) (/.f64 a (.f64 b 3)))
	23.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
	37.0b	(-.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 t (.f64 z -1/3))) 3) (.f64 (pow.f64 x 3/2) 8))) (/.f64 a (*.f64 b 3)))
	49.0b	(pow.f64 (pow.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 3) 1/3)
	23.4b	(-.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)))
	31.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 1/3 t))) 3))) (/.f64 a (*.f64 b 3)))
	27.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (sqrt.f64 (pow.f64 (.f64 z (.f64 t 1/3)) 2))))) (/.f64 a (*.f64 b 3)))
	31.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z)))) (/.f64 a (*.f64 b 3)))
▶	19.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1/3 b) a))
	54.0b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 t -1/3))) 1/3)) y))) (/.f64 (*.f64 a -1/3) b))
	49.6b	(-.f64 (cbrt.f64 (log.f64 (exp.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x))) 3)))) (/.f64 a (.f64 b 3)))
	23.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)))))) (/.f64 a (.f64 b 3)))
	41.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (pow.f64 (pow.f64 (.f64 z (.f64 1/3 t)) 3) 1/3))) (/.f64 a (*.f64 b 3)))
	30.6b	(.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)))))
	23.3b	(-.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)))
	31.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (expm1.f64 (log1p.f64 (cos.f64 (.f64 z (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
	45.2b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (pow.f64 (pow.f64 (.f64 t -1/3) 3) 1/3) y))) (/.f64 (*.f64 a -1/3) b))
	31.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (.f64 z 1/3)))) (/.f64 a (*.f64 b 3)))
	41.6b	(-.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (-.f64 2 (.f64 y y)))) 2) (.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (-.f64 2 (.f64 y y)))) (sqrt.f64 x)) (.f64 (.f64 y 2) (.f64 (sin.f64 (.f64 t (.f64 z 1/3))) (sqrt.f64 x)))) (/.f64 a (*.f64 b 3)))
	29.9b	(fma.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (*.f64 a (neg.f64 (/.f64 1/3 b))))
	23.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 a b) 1/3))
	23.7b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (.f64 (pow.f64 (cbrt.f64 b) -2) (/.f64 (.f64 -1/3 a) (cbrt.f64 b))))
	36.9b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (.f64 2 (sqrt.f64 x))) 3)) (/.f64 a (*.f64 b 3)))
	23.4b	(-.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)))
	31.1b	(-.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)))
	25.7b	(-.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)))
	23.5b	(fma.f64 (sqrt.f64 x) (.f64 2 (.f64 (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2)) (cbrt.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))) (/.f64 (*.f64 a -1/3) b))
✓	54.1b	(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))
	36.2b	(-.f64 (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x))))) 1/3)) (/.f64 a (.f64 b 3)))
	34.7b	(-.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)))
	27.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) 2))) (/.f64 a (.f64 b 3)))
	33.7b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 (sin.f64 y) (.f64 t z)) 2/3) (.f64 (cos.f64 y) (+.f64 2 (.f64 -1/9 (.f64 (.f64 t t) (.f64 z z))))))) (/.f64 a (.f64 b 3)))
	23.5b	(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2))) (/.f64 a (*.f64 b 3)))
✓	19.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
	19.7b	(fma.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)) (*.f64 a (neg.f64 (/.f64 1/3 b))))
	28.8b	(-.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 y) 3) (.f64 (pow.f64 x 3/2) 8))) (/.f64 a (*.f64 b 3)))
	40.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (exp.f64 (log.f64 (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
	23.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 z (/.f64 1 (/.f64 3 t)))))) (/.f64 a (.f64 b 3)))
	31.3b	(-.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)))
	39.9b	(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 a (*.f64 b 3)))
	41.4b	(-.f64 (fma.f64 (.f64 (.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (-.f64 2 (.f64 y y))) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (.f64 (.f64 y 2) (.f64 (sin.f64 (.f64 t (.f64 z 1/3))) (sqrt.f64 x)))) (/.f64 a (*.f64 b 3)))
	40.3b	(-.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x))) 3) 1/3) (/.f64 a (.f64 b 3)))
	23.4b	(-.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)))
	23.5b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 (.f64 -1/3 (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t)) y))) (/.f64 (.f64 a -1/3) b))
	44.9b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (/.f64 (pow.f64 (sqrt.f64 (*.f64 -1/3 a)) 2) b))
	36.0b	(-.f64 (exp.f64 (log.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x))))) (/.f64 a (.f64 b 3)))
	19.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1 b) (/.f64 a 3)))
	27.4b	(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
	19.9b	(fma.f64 (cbrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))) (*.f64 a (neg.f64 (/.f64 1/3 b))))
	38.9b	(exp.f64 (log.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))))
	45.1b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (exp.f64 (log.f64 (pow.f64 (pow.f64 (.f64 t -1/3) 3) 1/3))) y))) (/.f64 (*.f64 a -1/3) b))
	31.1b	(-.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)))
	19.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (pow.f64 (*.f64 3 (/.f64 b a)) -1))
	23.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 z 3) t)))) (/.f64 a (.f64 b 3)))
	61.9b	(log.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))))
	33.4b	(-.f64 (cbrt.f64 (fma.f64 t (fma.f64 2 (.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 (.f64 (cos.f64 y) (.f64 z (.f64 (sin.f64 y) x))) 8/3)) (.f64 (.f64 (.f64 z (sin.f64 y)) (pow.f64 (cos.f64 y) 2)) (.f64 (pow.f64 x 3/2) 8/3))) (.f64 (pow.f64 (cos.f64 y) 3) (.f64 (pow.f64 x 3/2) 8)))) (/.f64 a (*.f64 b 3)))
▶	36.1b	(expm1.f64 (log1p.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))))
	27.3b	(-.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)))
	24.5b	(-.f64 (.f64 (.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2) (cbrt.f64 x)) (pow.f64 x 1/6)) (/.f64 a (*.f64 b 3)))
	42.8b	(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y (-.f64 y (.f64 t (.f64 z 2/3)))))) (/.f64 a (*.f64 b 3)))
	40.6b	(fma.f64 (-.f64 (.f64 8 (pow.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) 3)) (/.f64 (pow.f64 (/.f64 a b) 3) 27)) (/.f64 1 (fma.f64 (.f64 a (/.f64 1/3 b)) (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b))) (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 a (/.f64 1/3 b)))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 a b) 2) 9)) (*.f64 a (/.f64 1/3 b))))
	40.5b	(cbrt.f64 (pow.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 3))
	23.7b	(-.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)))
	40.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (sqrt.f64 (.f64 1/3 t)) 2)))) (/.f64 a (*.f64 b 3)))
	40.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (sqrt.f64 (.f64 z t)) (.f64 (sqrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
	36.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (expm1.f64 (log1p.f64 (.f64 z (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
	31.1b	(-.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)))
	53.9b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 t -1/3))) 2)) (cbrt.f64 (log.f64 (.f64 t -1/3)))) y))) (/.f64 (.f64 a -1/3) b))
	33.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 a 3) b))) 1))
	27.5b	(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
	41.4b	(-.f64 (fma.f64 (pow.f64 x 1/4) (.f64 (pow.f64 x 1/4) (.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (-.f64 2 (.f64 y y)))) (.f64 (.f64 y 2) (.f64 (sin.f64 (.f64 t (.f64 z 1/3))) (sqrt.f64 x)))) (/.f64 a (*.f64 b 3)))
	19.9b	(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))))
	23.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2) (cbrt.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (.f64 b 3)))
	54.1b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (pow.f64 (exp.f64 1) (log.f64 (.f64 t -1/3))) y))) (/.f64 (*.f64 a -1/3) b))
▶	38.6b	(*.f64 -1/3 (/.f64 a b))
	31.1b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (.f64 t (.f64 z -1/3)))) (/.f64 (.f64 a -1/3) b))
	38.1b	(-.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)))
	40.6b	(/.f64 (-.f64 (.f64 8 (pow.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) 3)) (/.f64 (pow.f64 (/.f64 a b) 3) 27)) (fma.f64 (.f64 a (/.f64 1/3 b)) (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b))) (.f64 (*.f64 x 4) (pow.f64 (cos.f64 y) 2))))
	63.1b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 t -1/3)))) (sqrt.f64 (log.f64 (.f64 t -1/3)))) y))) (/.f64 (.f64 a -1/3) b))
	41.4b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 y (.f64 2 (sin.f64 (.f64 z (.f64 1/3 t))))) (.f64 1 (-.f64 2 (.f64 y y))))) (/.f64 a (.f64 b 3)))
✓	31.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 1/3 t)))) (/.f64 a (*.f64 b 3)))
▶	27.3b	(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))

Compiler

Compiled 5365 to 4100 computations (23.6% saved)

localize41.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 48 to 27 computations (43.8% saved)

series13.0ms (0.1%)

Counts

3 → 61

Calls

21 calls:

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

rewrite159.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

759×	`log-prod_binary64`
460×	`fma-def_binary64`
395×	`pow2_binary64`
274×	`expm1-udef_binary64`
274×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	31
1	311	29
2	4011	29

Stop Event

1×	node limit

Counts

3 → 245

Calls

Call 1

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

Outputs

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

simplify105.0ms (0.4%)

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

306 → 262

Calls

Call 1

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

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

localize25.0ms (0.1%)

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)

series3.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite70.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

20 → 20

Calls

Call 1

Inputs

Outputs

localize91.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 a (/.f64 1/3 b))
✓	0.2b	(*.f64 (sqrt.f64 x) (cos.f64 y))
	0.3b	(/.f64 1/3 b)
✓	2.0b	(expm1.f64 (log1p.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))))

Compiler

Compiled 78 to 39 computations (50% saved)

series17.0ms (0.1%)

Counts

3 → 73

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(expm1.f64 (log1p.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))))
1.0ms	x	@	-inf	(*.f64 (sqrt.f64 x) (cos.f64 y))
1.0ms	x	@	-inf	(expm1.f64 (log1p.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))))
1.0ms	x	@	0	(*.f64 (sqrt.f64 x) (cos.f64 y))
1.0ms	x	@	0	(expm1.f64 (log1p.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))))

rewrite124.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

799×	`log-prod_binary64`
471×	`fma-def_binary64`
289×	`expm1-udef_binary64`
289×	`log1p-udef_binary64`
266×	`pow3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	35
1	330	33
2	4224	33

Stop Event

1×	node limit

Counts

3 → 247

Calls

Call 1

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

Outputs

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

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

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

simplify101.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

320 → 272

Calls

Call 1

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

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

localize111.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (/.f64 (/.f64 a 3) b) 2)
	0.2b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
✓	22.6b	(sqrt.f64 (pow.f64 (/.f64 (/.f64 a 3) b) 2))
	24.7b	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))

Compiler

Compiled 101 to 58 computations (42.6% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite72.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

864×	`pow1_binary64`
812×	`add-log-exp_binary64`
811×	`log1p-expm1-u_binary64`
811×	`expm1-log1p-u_binary64`
796×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	199	17
2	2242	17

Stop Event

1×	node limit

Counts

2 → 109

Calls

Call 1

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

Outputs

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

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

simplify221.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	480
1	31	480
2	62	480
3	178	480
4	867	480
5	5250	480
6	5992	480
7	6229	480
8	6441	480
9	6689	480
10	7024	480
11	7458	480

Stop Event

1×	node limit

Counts

157 → 115

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

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

localize49.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 a -1/3)
	0.4b	(*.f64 t -1/3)
✓	0.4b	(pow.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) 2)
	24.7b	(cos.f64 (fma.f64 z (*.f64 t -1/3) y))

Compiler

Compiled 91 to 58 computations (36.3% saved)

series7.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite105.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

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

Outputs

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

simplify81.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

54 → 40

Calls

Call 1

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

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

eval847.0ms (3.4%)

Compiler: Compiled 24554 to 14479 computations (41% saved)

prune1.1s (4.4%)

Pruning

104 alts after pruning (100 fresh and 4 done)

	Pruned	Kept	Total
New	918	30	948
Fresh	16	70	86
Picked	1	0	1
Done	3	4	7
Total	938	104	1042

Error

17.1b

Counts

1042 → 104

Alt Table

Click to see full alt table

Status	Error	Program
	37.3b	(pow.f64 (sqrt.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))) 2)
	40.5b	(/.f64 (-.f64 (.f64 8 (pow.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) 3)) (pow.f64 (.f64 a (/.f64 1/3 b)) 3)) (fma.f64 (.f64 a (/.f64 1/3 b)) (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b))) (.f64 4 (.f64 x (pow.f64 (cos.f64 y) 2)))))
	43.0b	(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
	23.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (cbrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
	39.0b	(/.f64 (/.f64 (*.f64 -1/3 a) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))
	38.6b	(/.f64 -1/3 (/.f64 b a))
	23.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))))) (/.f64 a (.f64 b 3)))
	31.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (-.f64 (+.f64 1 (.f64 1/3 t)) 1)))) (/.f64 a (*.f64 b 3)))
▶	31.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (+.f64 1 (cos.f64 (.f64 z (.f64 1/3 t)))) 1)) (/.f64 a (*.f64 b 3)))
	38.3b	(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))
	49.6b	(-.f64 (cbrt.f64 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x))) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x))) 3)))))) (/.f64 a (*.f64 b 3)))
	42.6b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 z y) (.f64 t 2/3)) (.f64 (cos.f64 (.f64 z (.f64 1/3 t))) (-.f64 2 (.f64 y y))))) (/.f64 a (*.f64 b 3)))
	58.4b	(pow.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3) 1/3)
	23.3b	(-.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)))
	20.5b	(pow.f64 (cbrt.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))) 3)
	27.4b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2))) 3/2) (/.f64 a (.f64 b 3)))
	50.8b	(-.f64 (.f64 (cos.f64 (.f64 z (.f64 1/3 t))) (.f64 (sqrt.f64 x) (.f64 y (neg.f64 y)))) (/.f64 a (.f64 b 3)))
	23.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
	27.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (sqrt.f64 (pow.f64 (.f64 z (.f64 t 1/3)) 2))))) (/.f64 a (*.f64 b 3)))
	53.0b	(cbrt.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3))
	37.0b	(-.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 t (.f64 z -1/3))) 3) (.f64 (pow.f64 x 3/2) 8))) (/.f64 a (*.f64 b 3)))
	49.0b	(pow.f64 (pow.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 3) 1/3)
	23.4b	(-.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)))
	31.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 1/3 t))) 3))) (/.f64 a (*.f64 b 3)))
	23.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 (.f64 a 1/3) b))
	23.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (/.f64 (/.f64 a b) 3))
	31.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z)))) (/.f64 a (*.f64 b 3)))
✓	19.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1/3 b) a))
	54.0b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 t -1/3))) 1/3)) y))) (/.f64 (*.f64 a -1/3) b))
	49.6b	(-.f64 (cbrt.f64 (log.f64 (exp.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x))) 3)))) (/.f64 a (.f64 b 3)))
▶	38.6b	(*.f64 a (/.f64 -1/3 b))
	23.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)))))) (/.f64 a (.f64 b 3)))
	41.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (pow.f64 (pow.f64 (.f64 z (.f64 1/3 t)) 3) 1/3))) (/.f64 a (*.f64 b 3)))
	23.3b	(-.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)))
	31.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (expm1.f64 (log1p.f64 (cos.f64 (.f64 z (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
	45.2b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (pow.f64 (pow.f64 (.f64 t -1/3) 3) 1/3) y))) (/.f64 (*.f64 a -1/3) b))
	31.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (.f64 z 1/3)))) (/.f64 a (*.f64 b 3)))
	41.6b	(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 a b))) 1)
	19.9b	(fma.f64 (.f64 (cos.f64 y) (cbrt.f64 (.f64 x 4))) (cbrt.f64 (.f64 2 (sqrt.f64 x))) (.f64 a (/.f64 -1/3 b)))
	41.6b	(-.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (-.f64 2 (.f64 y y)))) 2) (.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (-.f64 2 (.f64 y y)))) (sqrt.f64 x)) (.f64 (.f64 y 2) (.f64 (sin.f64 (.f64 t (.f64 z 1/3))) (sqrt.f64 x)))) (/.f64 a (*.f64 b 3)))
	23.4b	(-.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)))
	31.1b	(-.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)))
	36.9b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (.f64 2 (sqrt.f64 x))) 3)) (/.f64 a (*.f64 b 3)))
	25.7b	(-.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)))
	23.5b	(fma.f64 (sqrt.f64 x) (.f64 2 (.f64 (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2)) (cbrt.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))) (/.f64 (*.f64 a -1/3) b))
✓	54.1b	(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))
	36.2b	(-.f64 (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x))))) 1/3)) (/.f64 a (.f64 b 3)))
	34.7b	(-.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)))
	33.7b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 (sin.f64 y) (.f64 t z)) 2/3) (.f64 (cos.f64 y) (+.f64 2 (.f64 -1/9 (.f64 (.f64 t t) (.f64 z z))))))) (/.f64 a (.f64 b 3)))
	23.5b	(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2))) (/.f64 a (*.f64 b 3)))
	44.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 a (/.f64 -1/3 b)))
	28.8b	(-.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 y) 3) (.f64 (pow.f64 x 3/2) 8))) (/.f64 a (*.f64 b 3)))
	40.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (exp.f64 (log.f64 (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
	30.5b	(.f64 (-.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x 4)) (pow.f64 (.f64 1/3 (/.f64 a b)) 2)) (/.f64 1 (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 1/3 (/.f64 a b)))))
	31.3b	(-.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)))
	42.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 (sqrt.f64 (.f64 a 1/3)) 1) (/.f64 (sqrt.f64 (.f64 a 1/3)) b)))
	23.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 z (/.f64 1 (/.f64 3 t)))))) (/.f64 a (.f64 b 3)))
	27.2b	(fma.f64 (sqrt.f64 x) (.f64 2 (sqrt.f64 (pow.f64 (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)))) 2))) (/.f64 (*.f64 a -1/3) b))
	39.9b	(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 a (*.f64 b 3)))
	41.4b	(-.f64 (fma.f64 (.f64 (.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (-.f64 2 (.f64 y y))) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (.f64 (.f64 y 2) (.f64 (sin.f64 (.f64 t (.f64 z 1/3))) (sqrt.f64 x)))) (/.f64 a (*.f64 b 3)))
	40.3b	(-.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x))) 3) 1/3) (/.f64 a (.f64 b 3)))
	23.4b	(-.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)))
	23.5b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 (.f64 -1/3 (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t)) y))) (/.f64 (.f64 a -1/3) b))
	36.0b	(-.f64 (exp.f64 (log.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x))))) (/.f64 a (.f64 b 3)))
	38.9b	(exp.f64 (log.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))))
	30.5b	(/.f64 (-.f64 (.f64 4 (.f64 x (pow.f64 (cos.f64 y) 2))) (.f64 (.f64 a (/.f64 -1/3 b)) (.f64 a (/.f64 -1/3 b)))) (-.f64 (.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x))) (.f64 a (/.f64 -1/3 b))))
	27.6b	(fma.f64 (sqrt.f64 x) (.f64 2 (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (fma.f64 z (.f64 t -1/3) y))))))) (/.f64 (*.f64 a -1/3) b))
	45.1b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (exp.f64 (log.f64 (pow.f64 (pow.f64 (.f64 t -1/3) 3) 1/3))) y))) (/.f64 (*.f64 a -1/3) b))
▶	31.1b	(-.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)))
	27.4b	(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
	40.4b	(expm1.f64 (log1p.f64 (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 a (/.f64 1/3 b)))))
	23.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 z 3) t)))) (/.f64 a (.f64 b 3)))
	38.6b	(/.f64 (*.f64 -1/3 a) b)
	33.4b	(-.f64 (cbrt.f64 (fma.f64 t (fma.f64 2 (.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 (.f64 (cos.f64 y) (.f64 z (.f64 (sin.f64 y) x))) 8/3)) (.f64 (.f64 (.f64 z (sin.f64 y)) (pow.f64 (cos.f64 y) 2)) (.f64 (pow.f64 x 3/2) 8/3))) (.f64 (pow.f64 (cos.f64 y) 3) (.f64 (pow.f64 x 3/2) 8)))) (/.f64 a (*.f64 b 3)))
▶	19.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 (*.f64 1/3 a) b))
	53.2b	(exp.f64 (log.f64 (*.f64 -1/3 (/.f64 a b))))
	24.5b	(-.f64 (.f64 (.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2) (cbrt.f64 x)) (pow.f64 x 1/6)) (/.f64 a (*.f64 b 3)))
	42.8b	(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y (-.f64 y (.f64 t (.f64 z 2/3)))))) (/.f64 a (*.f64 b 3)))
	40.6b	(fma.f64 (-.f64 (.f64 8 (pow.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) 3)) (/.f64 (pow.f64 (/.f64 a b) 3) 27)) (/.f64 1 (fma.f64 (.f64 a (/.f64 1/3 b)) (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b))) (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 a (/.f64 1/3 b)))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 a b) 2) 9)) (*.f64 a (/.f64 1/3 b))))
	40.5b	(cbrt.f64 (pow.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 3))
	27.4b	(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 1/3 b) a))
	38.6b	(/.f64 a (/.f64 b -1/3))
	23.7b	(-.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)))
	40.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (sqrt.f64 (.f64 1/3 t)) 2)))) (/.f64 a (*.f64 b 3)))
	53.9b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 t -1/3))) 2)) (cbrt.f64 (log.f64 (.f64 t -1/3)))) y))) (/.f64 (.f64 a -1/3) b))
	19.9b	(fma.f64 (.f64 2 (cbrt.f64 (.f64 x (pow.f64 (cos.f64 y) 2)))) (cbrt.f64 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (/.f64 -1/3 b)))
	40.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (sqrt.f64 (.f64 z t)) (.f64 (sqrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
	38.6b	(/.f64 1 (/.f64 b (*.f64 -1/3 a)))
	36.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (expm1.f64 (log1p.f64 (.f64 z (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
	31.1b	(-.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)))
▶	23.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2) (cbrt.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (.f64 b 3)))
	40.8b	(expm1.f64 (log1p.f64 (-.f64 (.f64 2 (exp.f64 (log.f64 (.f64 (sqrt.f64 x) (cos.f64 y))))) (*.f64 a (/.f64 1/3 b)))))
	39.0b	(pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 3)
	27.2b	(fma.f64 (sqrt.f64 x) (.f64 2 (sqrt.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 (.f64 z t) -1/3)) (cos.f64 y)) (.f64 (sin.f64 (.f64 (.f64 z t) -1/3)) (sin.f64 y))) 2))) (/.f64 (.f64 a -1/3) b))
	29.9b	(fma.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (*.f64 a (/.f64 -1/3 b)))
	54.1b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (pow.f64 (exp.f64 1) (log.f64 (.f64 t -1/3))) y))) (/.f64 (*.f64 a -1/3) b))
✓	38.6b	(*.f64 -1/3 (/.f64 a b))
	41.4b	(-.f64 (fma.f64 (pow.f64 x 1/4) (.f64 (pow.f64 x 1/4) (.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (-.f64 2 (.f64 y y)))) (.f64 (.f64 y 2) (.f64 (sin.f64 (.f64 t (.f64 z 1/3))) (sqrt.f64 x)))) (/.f64 a (*.f64 b 3)))
	38.1b	(-.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)))
	31.3b	(fma.f64 (sqrt.f64 x) (.f64 2 (sqrt.f64 (pow.f64 (cos.f64 (.f64 t (.f64 z -1/3))) 2))) (/.f64 (.f64 a -1/3) b))
	63.1b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 t -1/3)))) (sqrt.f64 (log.f64 (.f64 t -1/3)))) y))) (/.f64 (.f64 a -1/3) b))
	41.4b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 y (.f64 2 (sin.f64 (.f64 z (.f64 1/3 t))))) (.f64 1 (-.f64 2 (.f64 y y))))) (/.f64 a (.f64 b 3)))
✓	31.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 1/3 t)))) (/.f64 a (*.f64 b 3)))
	27.3b	(-.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)))

Compiler

Compiled 5668 to 4341 computations (23.4% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 48 to 27 computations (43.8% saved)

series6.0ms (0%)

Counts

3 → 61

Calls

21 calls:

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

rewrite187.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

772×	`log-prod_binary64`
389×	`pow2_binary64`
347×	`fma-def_binary64`
270×	`pow1/3_binary64`
269×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	31
1	300	29
2	3979	29

Stop Event

1×	node limit

Counts

3 → 192

Calls

Call 1

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

Outputs

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

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simplify69.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

253 → 208

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 2 expressions with local error:

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

Compiler

Compiled 17 to 12 computations (29.4% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

9 calls:

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

rewrite132.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	128	11
2	1558	11

Stop Event

1×	node limit

Counts

2 → 40

Calls

Call 1

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

Outputs

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

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

simplify12.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

64 → 41

Calls

Call 1

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

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

localize42.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(-.f64 (+.f64 1 (cos.f64 (.f64 z (.f64 1/3 t)))) 1)
	0.4b	(*.f64 1/3 t)
✓	0.4b	(+.f64 1 (cos.f64 (.f64 z (.f64 1/3 t))))
	29.2b	(cos.f64 (.f64 z (.f64 1/3 t)))

Compiler

Compiled 97 to 67 computations (30.9% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite118.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

692×	`prod-diff_binary64`
442×	`log-prod_binary64`
288×	`fma-def_binary64`
272×	`pow-prod-down_binary64`
247×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	216	21
2	2833	21

Stop Event

1×	node limit

Counts

2 → 120

Calls

Call 1

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

Outputs

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

simplify243.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1349×	`fma-def_binary64`
1130×	`sqr-pow_binary64`
598×	`pow-sqr_binary64`
481×	`cube-prod_binary64`
428×	`fabs-mul_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	36	688
1	90	680
2	239	672
3	976	664
4	2619	640
5	2832	628
6	3011	592
7	3231	592
8	3475	592
9	3795	592
10	4699	592
11	5220	592
12	5849	592
13	6109	592
14	6333	592
15	6497	592
16	6637	592
17	6751	592
18	7536	592

Stop Event

1×	node limit

Counts

168 → 138

Calls

Call 1

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

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

localize88.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(cbrt.f64 (cos.f64 (.f64 z (.f64 1/3 t))))
✓	0.4b	(pow.f64 (cbrt.f64 (cos.f64 (.f64 z (.f64 1/3 t)))) 3)
	0.4b	(*.f64 1/3 t)
	29.2b	(cos.f64 (.f64 z (.f64 1/3 t)))

Compiler

Compiled 92 to 62 computations (32.6% saved)

series34.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	z	@	-inf	(pow.f64 (cbrt.f64 (cos.f64 (.f64 z (.f64 1/3 t)))) 3)
5.0ms	t	@	-inf	(cbrt.f64 (cos.f64 (.f64 z (.f64 1/3 t))))
5.0ms	z	@	inf	(pow.f64 (cbrt.f64 (cos.f64 (.f64 z (.f64 1/3 t)))) 3)
4.0ms	t	@	inf	(pow.f64 (cbrt.f64 (cos.f64 (.f64 z (.f64 1/3 t)))) 3)
4.0ms	z	@	0	(pow.f64 (cbrt.f64 (cos.f64 (.f64 z (.f64 1/3 t)))) 3)

rewrite73.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

813×	`pow1_binary64`
757×	`add-log-exp_binary64`
757×	`log1p-expm1-u_binary64`
757×	`expm1-log1p-u_binary64`
740×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	207	20
2	2103	20

Stop Event

1×	node limit

Counts

2 → 39

Calls

Call 1

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

Outputs

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

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

simplify88.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

816×	`associate-l_binary64`
767×	`associate-r_binary64`
508×	`associate-+l+_binary64`
459×	`associate-+r+_binary64`
374×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	123	1084
1	372	964
2	1428	781
3	7845	781

Stop Event

1×	node limit

Counts

87 → 62

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 (+.f64 (.f64 -1/54 (pow.f64 t 2)) (*.f64 -1/27 (pow.f64 t 2))) (pow.f64 z 2)))
(+.f64 1 (+.f64 (.f64 (+.f64 (.f64 -1/54 (pow.f64 t 2)) (.f64 -1/27 (pow.f64 t 2))) (pow.f64 z 2)) (.f64 (pow.f64 z 4) (+.f64 (.f64 2/3 (-.f64 (.f64 1/1944 (pow.f64 t 4)) (.f64 1/972 (pow.f64 t 4)))) (+.f64 (.f64 1/3 (-.f64 (.f64 1/1944 (pow.f64 t 4)) (.f64 1/972 (pow.f64 t 4)))) (+.f64 (.f64 1/2916 (pow.f64 t 4)) (.f64 1/1458 (pow.f64 t 4))))))))
(+.f64 1 (+.f64 (.f64 (+.f64 (.f64 1/3 (-.f64 (.f64 -1/524880 (pow.f64 t 6)) (+.f64 (.f64 -1/27 (.f64 (pow.f64 t 2) (-.f64 (.f64 1/1944 (pow.f64 t 4)) (.f64 1/972 (pow.f64 t 4))))) (.f64 -1/157464 (pow.f64 t 6))))) (+.f64 (.f64 -1/54 (.f64 (+.f64 (.f64 2/3 (-.f64 (.f64 1/1944 (pow.f64 t 4)) (.f64 1/972 (pow.f64 t 4)))) (.f64 1/2916 (pow.f64 t 4))) (pow.f64 t 2))) (+.f64 (.f64 -2/81 (.f64 (pow.f64 t 2) (-.f64 (.f64 1/1944 (pow.f64 t 4)) (.f64 1/972 (pow.f64 t 4))))) (.f64 2/3 (-.f64 (.f64 -1/524880 (pow.f64 t 6)) (+.f64 (.f64 -1/27 (.f64 (pow.f64 t 2) (-.f64 (.f64 1/1944 (pow.f64 t 4)) (.f64 1/972 (pow.f64 t 4))))) (.f64 -1/157464 (pow.f64 t 6)))))))) (pow.f64 z 6)) (+.f64 (.f64 (+.f64 (.f64 -1/54 (pow.f64 t 2)) (.f64 -1/27 (pow.f64 t 2))) (pow.f64 z 2)) (.f64 (pow.f64 z 4) (+.f64 (.f64 2/3 (-.f64 (.f64 1/1944 (pow.f64 t 4)) (.f64 1/972 (pow.f64 t 4)))) (+.f64 (.f64 1/3 (-.f64 (.f64 1/1944 (pow.f64 t 4)) (.f64 1/972 (pow.f64 t 4)))) (+.f64 (.f64 1/2916 (pow.f64 t 4)) (*.f64 1/1458 (pow.f64 t 4)))))))))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/3 (*.f64 t z))))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/3 (*.f64 t z))))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/3 (*.f64 t z))))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/3 (*.f64 t z))))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/3 (*.f64 t z))))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/3 (*.f64 t z))))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/3 (*.f64 t z))))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/3 (*.f64 t z))))
1
(+.f64 1 (.f64 (pow.f64 t 2) (+.f64 (.f64 -1/27 (pow.f64 z 2)) (*.f64 -1/54 (pow.f64 z 2)))))
(+.f64 1 (+.f64 (.f64 (+.f64 (.f64 1/2916 (pow.f64 z 4)) (+.f64 (.f64 2/3 (-.f64 (.f64 1/1944 (pow.f64 z 4)) (.f64 1/972 (pow.f64 z 4)))) (+.f64 (.f64 1/1458 (pow.f64 z 4)) (.f64 1/3 (-.f64 (.f64 1/1944 (pow.f64 z 4)) (.f64 1/972 (pow.f64 z 4))))))) (pow.f64 t 4)) (.f64 (pow.f64 t 2) (+.f64 (.f64 -1/27 (pow.f64 z 2)) (.f64 -1/54 (pow.f64 z 2))))))
(+.f64 1 (+.f64 (.f64 (+.f64 (.f64 1/2916 (pow.f64 z 4)) (+.f64 (.f64 2/3 (-.f64 (.f64 1/1944 (pow.f64 z 4)) (.f64 1/972 (pow.f64 z 4)))) (+.f64 (.f64 1/1458 (pow.f64 z 4)) (.f64 1/3 (-.f64 (.f64 1/1944 (pow.f64 z 4)) (.f64 1/972 (pow.f64 z 4))))))) (pow.f64 t 4)) (+.f64 (.f64 (pow.f64 t 2) (+.f64 (.f64 -1/27 (pow.f64 z 2)) (.f64 -1/54 (pow.f64 z 2)))) (.f64 (+.f64 (.f64 2/3 (-.f64 (.f64 -1/524880 (pow.f64 z 6)) (+.f64 (.f64 -1/157464 (pow.f64 z 6)) (.f64 -1/27 (.f64 (-.f64 (.f64 1/1944 (pow.f64 z 4)) (.f64 1/972 (pow.f64 z 4))) (pow.f64 z 2)))))) (+.f64 (.f64 -1/54 (.f64 (+.f64 (.f64 1/2916 (pow.f64 z 4)) (.f64 2/3 (-.f64 (.f64 1/1944 (pow.f64 z 4)) (.f64 1/972 (pow.f64 z 4))))) (pow.f64 z 2))) (+.f64 (.f64 1/3 (-.f64 (.f64 -1/524880 (pow.f64 z 6)) (+.f64 (.f64 -1/157464 (pow.f64 z 6)) (.f64 -1/27 (.f64 (-.f64 (.f64 1/1944 (pow.f64 z 4)) (.f64 1/972 (pow.f64 z 4))) (pow.f64 z 2)))))) (.f64 -2/81 (.f64 (-.f64 (.f64 1/1944 (pow.f64 z 4)) (*.f64 1/972 (pow.f64 z 4))) (pow.f64 z 2)))))) (pow.f64 t 6)))))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/3 (*.f64 t z))))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/3 (*.f64 t z))))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/3 (*.f64 t z))))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/3 (*.f64 t z))))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/3 (*.f64 t z))))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/3 (*.f64 t z))))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/3 (*.f64 t z))))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/3 (*.f64 t z))))
1
(+.f64 1 (.f64 -1/54 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 z 4) (-.f64 (.f64 1/1944 (pow.f64 t 4)) (.f64 1/972 (pow.f64 t 4))))) (+.f64 1 (.f64 -1/54 (.f64 (pow.f64 t 2) (pow.f64 z 2)))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 z 4) (-.f64 (.f64 1/1944 (pow.f64 t 4)) (.f64 1/972 (pow.f64 t 4))))) (+.f64 1 (+.f64 (.f64 -1/54 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (.f64 1/3 (.f64 (pow.f64 z 6) (-.f64 (.f64 -1/524880 (pow.f64 t 6)) (+.f64 (.f64 -1/27 (.f64 (pow.f64 t 2) (-.f64 (.f64 1/1944 (pow.f64 t 4)) (.f64 1/972 (pow.f64 t 4))))) (.f64 -1/157464 (pow.f64 t 6)))))))))
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 1/3)
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 1/3)
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 1/3)
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 1/3)
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 1/3)
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 1/3)
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 1/3)
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 1/3)
1
(+.f64 1 (.f64 -1/54 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 1 (+.f64 (.f64 -1/54 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (.f64 1/3 (.f64 (pow.f64 t 4) (-.f64 (.f64 1/1944 (pow.f64 z 4)) (.f64 1/972 (pow.f64 z 4)))))))
(+.f64 1 (+.f64 (.f64 -1/54 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (+.f64 (.f64 1/3 (.f64 (pow.f64 t 4) (-.f64 (.f64 1/1944 (pow.f64 z 4)) (.f64 1/972 (pow.f64 z 4))))) (.f64 1/3 (.f64 (pow.f64 t 6) (-.f64 (.f64 -1/524880 (pow.f64 z 6)) (+.f64 (.f64 -1/157464 (pow.f64 z 6)) (.f64 -1/27 (.f64 (-.f64 (.f64 1/1944 (pow.f64 z 4)) (.f64 1/972 (pow.f64 z 4))) (pow.f64 z 2))))))))))
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 1/3)
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 1/3)
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 1/3)
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 1/3)
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 1/3)
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 1/3)
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 1/3)
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 1/3)

Outputs
1
(+.f64 1 (.f64 (+.f64 (.f64 -1/54 (pow.f64 t 2)) (*.f64 -1/27 (pow.f64 t 2))) (pow.f64 z 2)))
(+.f64 1 (.f64 (.f64 (.f64 t t) -1/18) (.f64 z z)))
(fma.f64 (.f64 t t) (.f64 z (*.f64 z -1/18)) 1)
(fma.f64 (.f64 t t) (.f64 (*.f64 z z) -1/18) 1)
(+.f64 1 (+.f64 (.f64 (+.f64 (.f64 -1/54 (pow.f64 t 2)) (.f64 -1/27 (pow.f64 t 2))) (pow.f64 z 2)) (.f64 (pow.f64 z 4) (+.f64 (.f64 2/3 (-.f64 (.f64 1/1944 (pow.f64 t 4)) (.f64 1/972 (pow.f64 t 4)))) (+.f64 (.f64 1/3 (-.f64 (.f64 1/1944 (pow.f64 t 4)) (.f64 1/972 (pow.f64 t 4)))) (+.f64 (.f64 1/2916 (pow.f64 t 4)) (.f64 1/1458 (pow.f64 t 4))))))))
(+.f64 1 (fma.f64 (.f64 (.f64 t t) -1/18) (.f64 z z) (.f64 (pow.f64 z 4) (fma.f64 2/3 (.f64 (pow.f64 t 4) -1/1944) (fma.f64 1/3 (.f64 (pow.f64 t 4) -1/1944) (*.f64 (pow.f64 t 4) 1/972))))))
(+.f64 1 (fma.f64 (pow.f64 z 4) (+.f64 (.f64 (pow.f64 t 4) 1/972) (.f64 (.f64 (pow.f64 t 4) -1/1944) 1)) (.f64 (.f64 t t) (.f64 z (*.f64 z -1/18)))))
(+.f64 (fma.f64 (.f64 t t) (.f64 (.f64 z z) -1/18) 1) (.f64 (pow.f64 t 4) (*.f64 (pow.f64 z 4) 1/1944)))
(+.f64 1 (+.f64 (.f64 (+.f64 (.f64 1/3 (-.f64 (.f64 -1/524880 (pow.f64 t 6)) (+.f64 (.f64 -1/27 (.f64 (pow.f64 t 2) (-.f64 (.f64 1/1944 (pow.f64 t 4)) (.f64 1/972 (pow.f64 t 4))))) (.f64 -1/157464 (pow.f64 t 6))))) (+.f64 (.f64 -1/54 (.f64 (+.f64 (.f64 2/3 (-.f64 (.f64 1/1944 (pow.f64 t 4)) (.f64 1/972 (pow.f64 t 4)))) (.f64 1/2916 (pow.f64 t 4))) (pow.f64 t 2))) (+.f64 (.f64 -2/81 (.f64 (pow.f64 t 2) (-.f64 (.f64 1/1944 (pow.f64 t 4)) (.f64 1/972 (pow.f64 t 4))))) (.f64 2/3 (-.f64 (.f64 -1/524880 (pow.f64 t 6)) (+.f64 (.f64 -1/27 (.f64 (pow.f64 t 2) (-.f64 (.f64 1/1944 (pow.f64 t 4)) (.f64 1/972 (pow.f64 t 4))))) (.f64 -1/157464 (pow.f64 t 6)))))))) (pow.f64 z 6)) (+.f64 (.f64 (+.f64 (.f64 -1/54 (pow.f64 t 2)) (.f64 -1/27 (pow.f64 t 2))) (pow.f64 z 2)) (.f64 (pow.f64 z 4) (+.f64 (.f64 2/3 (-.f64 (.f64 1/1944 (pow.f64 t 4)) (.f64 1/972 (pow.f64 t 4)))) (+.f64 (.f64 1/3 (-.f64 (.f64 1/1944 (pow.f64 t 4)) (.f64 1/972 (pow.f64 t 4)))) (+.f64 (.f64 1/2916 (pow.f64 t 4)) (*.f64 1/1458 (pow.f64 t 4)))))))))
(+.f64 1 (fma.f64 (fma.f64 1/3 (-.f64 (.f64 -1/524880 (pow.f64 t 6)) (fma.f64 -1/27 (.f64 (.f64 t t) (.f64 (pow.f64 t 4) -1/1944)) (.f64 (pow.f64 t 6) -1/157464))) (fma.f64 -1/54 (.f64 (.f64 t t) (fma.f64 2/3 (.f64 (pow.f64 t 4) -1/1944) (.f64 (pow.f64 t 4) 1/2916))) (fma.f64 -2/81 (.f64 (.f64 t t) (.f64 (pow.f64 t 4) -1/1944)) (.f64 2/3 (-.f64 (.f64 -1/524880 (pow.f64 t 6)) (fma.f64 -1/27 (.f64 (.f64 t t) (.f64 (pow.f64 t 4) -1/1944)) (.f64 (pow.f64 t 6) -1/157464))))))) (pow.f64 z 6) (fma.f64 (.f64 (.f64 t t) -1/18) (.f64 z z) (.f64 (pow.f64 z 4) (fma.f64 2/3 (.f64 (pow.f64 t 4) -1/1944) (fma.f64 1/3 (.f64 (pow.f64 t 4) -1/1944) (*.f64 (pow.f64 t 4) 1/972)))))))
(+.f64 1 (fma.f64 (fma.f64 1/3 (-.f64 (.f64 -1/524880 (pow.f64 t 6)) (fma.f64 -1/27 (.f64 (pow.f64 t 4) (.f64 -1/1944 (.f64 t t))) (.f64 (pow.f64 t 6) -1/157464))) (fma.f64 -1/54 (.f64 (.f64 t t) (fma.f64 (pow.f64 t 4) 1/2916 (.f64 (pow.f64 t 4) -1/2916))) (fma.f64 2/3 (-.f64 (.f64 -1/524880 (pow.f64 t 6)) (fma.f64 -1/27 (.f64 (pow.f64 t 4) (.f64 -1/1944 (.f64 t t))) (.f64 (pow.f64 t 6) -1/157464))) (.f64 (.f64 (pow.f64 t 4) (.f64 -1/1944 (.f64 t t))) -2/81)))) (pow.f64 z 6) (fma.f64 (pow.f64 z 4) (+.f64 (.f64 (pow.f64 t 4) 1/972) (.f64 (.f64 (pow.f64 t 4) -1/1944) 1)) (.f64 (.f64 t t) (.f64 z (.f64 z -1/18))))))
(+.f64 1 (fma.f64 (+.f64 (fma.f64 -1/54 (.f64 t (.f64 t (.f64 (pow.f64 t 4) 0))) (.f64 (pow.f64 t 6) 1/78732)) (.f64 (-.f64 (.f64 (pow.f64 t 6) 7/1574640) (.f64 (pow.f64 t 6) 1/52488)) 1)) (pow.f64 z 6) (fma.f64 (.f64 t t) (.f64 (.f64 z z) -1/18) (.f64 (pow.f64 t 4) (.f64 (pow.f64 z 4) 1/1944)))))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/3 (*.f64 t z))))
(.f64 1 (cos.f64 (.f64 1/3 (*.f64 t z))))
(cos.f64 (.f64 t (.f64 z 1/3)))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/3 (*.f64 t z))))
(.f64 1 (cos.f64 (.f64 1/3 (*.f64 t z))))
(cos.f64 (.f64 t (.f64 z 1/3)))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/3 (*.f64 t z))))
(.f64 1 (cos.f64 (.f64 1/3 (*.f64 t z))))
(cos.f64 (.f64 t (.f64 z 1/3)))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/3 (*.f64 t z))))
(.f64 1 (cos.f64 (.f64 1/3 (*.f64 t z))))
(cos.f64 (.f64 t (.f64 z 1/3)))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/3 (*.f64 t z))))
(.f64 1 (cos.f64 (.f64 1/3 (*.f64 t z))))
(cos.f64 (.f64 t (.f64 z 1/3)))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/3 (*.f64 t z))))
(.f64 1 (cos.f64 (.f64 1/3 (*.f64 t z))))
(cos.f64 (.f64 t (.f64 z 1/3)))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/3 (*.f64 t z))))
(.f64 1 (cos.f64 (.f64 1/3 (*.f64 t z))))
(cos.f64 (.f64 t (.f64 z 1/3)))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/3 (*.f64 t z))))
(.f64 1 (cos.f64 (.f64 1/3 (*.f64 t z))))
(cos.f64 (.f64 t (.f64 z 1/3)))
1
(+.f64 1 (.f64 (pow.f64 t 2) (+.f64 (.f64 -1/27 (pow.f64 z 2)) (*.f64 -1/54 (pow.f64 z 2)))))
(+.f64 1 (.f64 (.f64 (.f64 t t) -1/18) (.f64 z z)))
(fma.f64 (.f64 t t) (.f64 z (*.f64 z -1/18)) 1)
(fma.f64 (.f64 t t) (.f64 (*.f64 z z) -1/18) 1)
(+.f64 1 (+.f64 (.f64 (+.f64 (.f64 1/2916 (pow.f64 z 4)) (+.f64 (.f64 2/3 (-.f64 (.f64 1/1944 (pow.f64 z 4)) (.f64 1/972 (pow.f64 z 4)))) (+.f64 (.f64 1/1458 (pow.f64 z 4)) (.f64 1/3 (-.f64 (.f64 1/1944 (pow.f64 z 4)) (.f64 1/972 (pow.f64 z 4))))))) (pow.f64 t 4)) (.f64 (pow.f64 t 2) (+.f64 (.f64 -1/27 (pow.f64 z 2)) (.f64 -1/54 (pow.f64 z 2))))))
(+.f64 1 (fma.f64 (.f64 (.f64 t t) -1/18) (.f64 z z) (.f64 (pow.f64 z 4) (fma.f64 2/3 (.f64 (pow.f64 t 4) -1/1944) (fma.f64 1/3 (.f64 (pow.f64 t 4) -1/1944) (*.f64 (pow.f64 t 4) 1/972))))))
(+.f64 1 (fma.f64 (pow.f64 z 4) (+.f64 (.f64 (pow.f64 t 4) 1/972) (.f64 (.f64 (pow.f64 t 4) -1/1944) 1)) (.f64 (.f64 t t) (.f64 z (*.f64 z -1/18)))))
(+.f64 (fma.f64 (.f64 t t) (.f64 (.f64 z z) -1/18) 1) (.f64 (pow.f64 t 4) (*.f64 (pow.f64 z 4) 1/1944)))
(+.f64 1 (+.f64 (.f64 (+.f64 (.f64 1/2916 (pow.f64 z 4)) (+.f64 (.f64 2/3 (-.f64 (.f64 1/1944 (pow.f64 z 4)) (.f64 1/972 (pow.f64 z 4)))) (+.f64 (.f64 1/1458 (pow.f64 z 4)) (.f64 1/3 (-.f64 (.f64 1/1944 (pow.f64 z 4)) (.f64 1/972 (pow.f64 z 4))))))) (pow.f64 t 4)) (+.f64 (.f64 (pow.f64 t 2) (+.f64 (.f64 -1/27 (pow.f64 z 2)) (.f64 -1/54 (pow.f64 z 2)))) (.f64 (+.f64 (.f64 2/3 (-.f64 (.f64 -1/524880 (pow.f64 z 6)) (+.f64 (.f64 -1/157464 (pow.f64 z 6)) (.f64 -1/27 (.f64 (-.f64 (.f64 1/1944 (pow.f64 z 4)) (.f64 1/972 (pow.f64 z 4))) (pow.f64 z 2)))))) (+.f64 (.f64 -1/54 (.f64 (+.f64 (.f64 1/2916 (pow.f64 z 4)) (.f64 2/3 (-.f64 (.f64 1/1944 (pow.f64 z 4)) (.f64 1/972 (pow.f64 z 4))))) (pow.f64 z 2))) (+.f64 (.f64 1/3 (-.f64 (.f64 -1/524880 (pow.f64 z 6)) (+.f64 (.f64 -1/157464 (pow.f64 z 6)) (.f64 -1/27 (.f64 (-.f64 (.f64 1/1944 (pow.f64 z 4)) (.f64 1/972 (pow.f64 z 4))) (pow.f64 z 2)))))) (.f64 -2/81 (.f64 (-.f64 (.f64 1/1944 (pow.f64 z 4)) (*.f64 1/972 (pow.f64 z 4))) (pow.f64 z 2)))))) (pow.f64 t 6)))))
(+.f64 1 (fma.f64 (fma.f64 1/2916 (pow.f64 z 4) (fma.f64 2/3 (.f64 (pow.f64 z 4) -1/1944) (fma.f64 1/1458 (pow.f64 z 4) (.f64 1/3 (.f64 (pow.f64 z 4) -1/1944))))) (pow.f64 t 4) (fma.f64 (.f64 t t) (.f64 (.f64 z z) -1/18) (.f64 (pow.f64 t 6) (fma.f64 2/3 (-.f64 (.f64 -1/524880 (pow.f64 z 6)) (fma.f64 -1/157464 (pow.f64 z 6) (.f64 -1/27 (.f64 (.f64 z z) (.f64 (pow.f64 z 4) -1/1944))))) (fma.f64 -1/54 (.f64 (.f64 z z) (fma.f64 1/2916 (pow.f64 z 4) (.f64 2/3 (.f64 (pow.f64 z 4) -1/1944)))) (fma.f64 1/3 (-.f64 (.f64 -1/524880 (pow.f64 z 6)) (fma.f64 -1/157464 (pow.f64 z 6) (.f64 -1/27 (.f64 (.f64 z z) (.f64 (pow.f64 z 4) -1/1944))))) (.f64 -2/81 (.f64 (.f64 z z) (*.f64 (pow.f64 z 4) -1/1944))))))))))
(+.f64 1 (fma.f64 (pow.f64 t 4) (+.f64 (fma.f64 (pow.f64 z 4) 1/1458 (.f64 (pow.f64 z 4) -1/5832)) (fma.f64 (pow.f64 z 4) 1/2916 (.f64 (pow.f64 z 4) -1/2916))) (fma.f64 (pow.f64 t 6) (fma.f64 2/3 (-.f64 (.f64 (pow.f64 z 6) 7/1574640) (.f64 (.f64 (.f64 -1/27 z) z) (.f64 (pow.f64 z 4) -1/1944))) (fma.f64 -1/54 (.f64 z (.f64 z (fma.f64 (pow.f64 z 4) 1/2916 (.f64 (pow.f64 z 4) -1/2916)))) (fma.f64 1/3 (-.f64 (.f64 (pow.f64 z 6) 7/1574640) (.f64 (.f64 (.f64 -1/27 z) z) (.f64 (pow.f64 z 4) -1/1944))) (.f64 (.f64 z z) (.f64 -2/81 (.f64 (pow.f64 z 4) -1/1944)))))) (.f64 (.f64 t t) (.f64 z (*.f64 z -1/18))))))
(+.f64 1 (fma.f64 (pow.f64 t 4) (.f64 (pow.f64 z 4) 1/1944) (fma.f64 (pow.f64 t 6) (fma.f64 2/3 (-.f64 (.f64 (pow.f64 z 6) 7/1574640) (.f64 (pow.f64 z 6) 1/52488)) (fma.f64 -1/54 (.f64 z (.f64 z (.f64 (pow.f64 z 4) 0))) (fma.f64 1/3 (-.f64 (.f64 (pow.f64 z 6) 7/1574640) (.f64 (pow.f64 z 6) 1/52488)) (.f64 (pow.f64 z 6) 1/78732)))) (.f64 (.f64 t t) (.f64 (*.f64 z z) -1/18)))))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/3 (*.f64 t z))))
(.f64 1 (cos.f64 (.f64 1/3 (*.f64 t z))))
(cos.f64 (.f64 t (.f64 z 1/3)))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/3 (*.f64 t z))))
(.f64 1 (cos.f64 (.f64 1/3 (*.f64 t z))))
(cos.f64 (.f64 t (.f64 z 1/3)))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/3 (*.f64 t z))))
(.f64 1 (cos.f64 (.f64 1/3 (*.f64 t z))))
(cos.f64 (.f64 t (.f64 z 1/3)))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/3 (*.f64 t z))))
(.f64 1 (cos.f64 (.f64 1/3 (*.f64 t z))))
(cos.f64 (.f64 t (.f64 z 1/3)))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/3 (*.f64 t z))))
(.f64 1 (cos.f64 (.f64 1/3 (*.f64 t z))))
(cos.f64 (.f64 t (.f64 z 1/3)))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/3 (*.f64 t z))))
(.f64 1 (cos.f64 (.f64 1/3 (*.f64 t z))))
(cos.f64 (.f64 t (.f64 z 1/3)))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/3 (*.f64 t z))))
(.f64 1 (cos.f64 (.f64 1/3 (*.f64 t z))))
(cos.f64 (.f64 t (.f64 z 1/3)))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/3 (*.f64 t z))))
(.f64 1 (cos.f64 (.f64 1/3 (*.f64 t z))))
(cos.f64 (.f64 t (.f64 z 1/3)))
1
(+.f64 1 (.f64 -1/54 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 1 (.f64 (.f64 -1/54 (.f64 t t)) (.f64 z z)))
(fma.f64 -1/54 (.f64 (.f64 t t) (*.f64 z z)) 1)
(+.f64 (.f64 1/3 (.f64 (pow.f64 z 4) (-.f64 (.f64 1/1944 (pow.f64 t 4)) (.f64 1/972 (pow.f64 t 4))))) (+.f64 1 (.f64 -1/54 (.f64 (pow.f64 t 2) (pow.f64 z 2)))))
(fma.f64 1/3 (.f64 (pow.f64 z 4) (.f64 (pow.f64 t 4) -1/1944)) (+.f64 1 (.f64 (.f64 -1/54 (.f64 t t)) (.f64 z z))))
(+.f64 (fma.f64 -1/54 (.f64 (.f64 t t) (.f64 z z)) 1) (.f64 (pow.f64 z 4) (*.f64 (pow.f64 t 4) -1/5832)))
(+.f64 (fma.f64 -1/54 (.f64 (.f64 t t) (.f64 z z)) 1) (.f64 (pow.f64 t 4) (*.f64 (pow.f64 z 4) -1/5832)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 z 4) (-.f64 (.f64 1/1944 (pow.f64 t 4)) (.f64 1/972 (pow.f64 t 4))))) (+.f64 1 (+.f64 (.f64 -1/54 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (.f64 1/3 (.f64 (pow.f64 z 6) (-.f64 (.f64 -1/524880 (pow.f64 t 6)) (+.f64 (.f64 -1/27 (.f64 (pow.f64 t 2) (-.f64 (.f64 1/1944 (pow.f64 t 4)) (.f64 1/972 (pow.f64 t 4))))) (.f64 -1/157464 (pow.f64 t 6)))))))))
(fma.f64 1/3 (.f64 (pow.f64 z 4) (.f64 (pow.f64 t 4) -1/1944)) (+.f64 1 (fma.f64 -1/54 (.f64 (.f64 t t) (.f64 z z)) (.f64 (.f64 1/3 (pow.f64 z 6)) (-.f64 (.f64 -1/524880 (pow.f64 t 6)) (fma.f64 -1/27 (.f64 (.f64 t t) (.f64 (pow.f64 t 4) -1/1944)) (.f64 (pow.f64 t 6) -1/157464)))))))
(+.f64 (fma.f64 -1/54 (.f64 (.f64 t t) (.f64 z z)) 1) (+.f64 (.f64 (-.f64 (.f64 -1/524880 (pow.f64 t 6)) (fma.f64 -1/27 (.f64 (pow.f64 t 4) (.f64 -1/1944 (.f64 t t))) (.f64 (pow.f64 t 6) -1/157464))) (.f64 1/3 (pow.f64 z 6))) (.f64 (pow.f64 z 4) (.f64 (pow.f64 t 4) -1/5832))))
(+.f64 1 (+.f64 (.f64 (-.f64 (.f64 (pow.f64 t 6) 7/1574640) (.f64 (pow.f64 t 6) 1/52488)) (.f64 1/3 (pow.f64 z 6))) (fma.f64 -1/54 (.f64 (.f64 t t) (.f64 z z)) (.f64 (pow.f64 t 4) (*.f64 (pow.f64 z 4) -1/5832)))))
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 1/3)
(cbrt.f64 (cos.f64 (.f64 1/3 (.f64 t z))))
(cbrt.f64 (cos.f64 (.f64 t (.f64 z 1/3))))
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 1/3)
(cbrt.f64 (cos.f64 (.f64 1/3 (.f64 t z))))
(cbrt.f64 (cos.f64 (.f64 t (.f64 z 1/3))))
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 1/3)
(cbrt.f64 (cos.f64 (.f64 1/3 (.f64 t z))))
(cbrt.f64 (cos.f64 (.f64 t (.f64 z 1/3))))
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 1/3)
(cbrt.f64 (cos.f64 (.f64 1/3 (.f64 t z))))
(cbrt.f64 (cos.f64 (.f64 t (.f64 z 1/3))))
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 1/3)
(cbrt.f64 (cos.f64 (.f64 1/3 (.f64 t z))))
(cbrt.f64 (cos.f64 (.f64 t (.f64 z 1/3))))
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 1/3)
(cbrt.f64 (cos.f64 (.f64 1/3 (.f64 t z))))
(cbrt.f64 (cos.f64 (.f64 t (.f64 z 1/3))))
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 1/3)
(cbrt.f64 (cos.f64 (.f64 1/3 (.f64 t z))))
(cbrt.f64 (cos.f64 (.f64 t (.f64 z 1/3))))
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 1/3)
(cbrt.f64 (cos.f64 (.f64 1/3 (.f64 t z))))
(cbrt.f64 (cos.f64 (.f64 t (.f64 z 1/3))))
1
(+.f64 1 (.f64 -1/54 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 1 (.f64 (.f64 -1/54 (.f64 t t)) (.f64 z z)))
(fma.f64 -1/54 (.f64 (.f64 t t) (*.f64 z z)) 1)
(+.f64 1 (+.f64 (.f64 -1/54 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (.f64 1/3 (.f64 (pow.f64 t 4) (-.f64 (.f64 1/1944 (pow.f64 z 4)) (.f64 1/972 (pow.f64 z 4)))))))
(fma.f64 1/3 (.f64 (pow.f64 z 4) (.f64 (pow.f64 t 4) -1/1944)) (+.f64 1 (.f64 (.f64 -1/54 (.f64 t t)) (.f64 z z))))
(+.f64 (fma.f64 -1/54 (.f64 (.f64 t t) (.f64 z z)) 1) (.f64 (pow.f64 z 4) (*.f64 (pow.f64 t 4) -1/5832)))
(+.f64 (fma.f64 -1/54 (.f64 (.f64 t t) (.f64 z z)) 1) (.f64 (pow.f64 t 4) (*.f64 (pow.f64 z 4) -1/5832)))
(+.f64 1 (+.f64 (.f64 -1/54 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (+.f64 (.f64 1/3 (.f64 (pow.f64 t 4) (-.f64 (.f64 1/1944 (pow.f64 z 4)) (.f64 1/972 (pow.f64 z 4))))) (.f64 1/3 (.f64 (pow.f64 t 6) (-.f64 (.f64 -1/524880 (pow.f64 z 6)) (+.f64 (.f64 -1/157464 (pow.f64 z 6)) (.f64 -1/27 (.f64 (-.f64 (.f64 1/1944 (pow.f64 z 4)) (.f64 1/972 (pow.f64 z 4))) (pow.f64 z 2))))))))))
(+.f64 1 (fma.f64 -1/54 (.f64 (.f64 t t) (.f64 z z)) (.f64 1/3 (+.f64 (.f64 (pow.f64 t 4) (.f64 (pow.f64 z 4) -1/1944)) (.f64 (pow.f64 t 6) (-.f64 (.f64 -1/524880 (pow.f64 z 6)) (fma.f64 -1/157464 (pow.f64 z 6) (.f64 -1/27 (.f64 (.f64 z z) (.f64 (pow.f64 z 4) -1/1944))))))))))
(+.f64 (fma.f64 -1/54 (.f64 (.f64 t t) (.f64 z z)) 1) (fma.f64 1/3 (.f64 (pow.f64 t 6) (-.f64 (.f64 (pow.f64 z 6) 7/1574640) (.f64 (.f64 (.f64 -1/27 z) z) (.f64 (pow.f64 z 4) -1/1944)))) (.f64 (pow.f64 z 4) (*.f64 (pow.f64 t 4) -1/5832))))
(+.f64 (fma.f64 -1/54 (.f64 (.f64 t t) (.f64 z z)) 1) (fma.f64 (.f64 1/3 (pow.f64 t 6)) (-.f64 (.f64 (pow.f64 z 6) 7/1574640) (.f64 (pow.f64 z 6) 1/52488)) (.f64 (pow.f64 t 4) (.f64 (pow.f64 z 4) -1/5832))))
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 1/3)
(cbrt.f64 (cos.f64 (.f64 1/3 (.f64 t z))))
(cbrt.f64 (cos.f64 (.f64 t (.f64 z 1/3))))
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 1/3)
(cbrt.f64 (cos.f64 (.f64 1/3 (.f64 t z))))
(cbrt.f64 (cos.f64 (.f64 t (.f64 z 1/3))))
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 1/3)
(cbrt.f64 (cos.f64 (.f64 1/3 (.f64 t z))))
(cbrt.f64 (cos.f64 (.f64 t (.f64 z 1/3))))
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 1/3)
(cbrt.f64 (cos.f64 (.f64 1/3 (.f64 t z))))
(cbrt.f64 (cos.f64 (.f64 t (.f64 z 1/3))))
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 1/3)
(cbrt.f64 (cos.f64 (.f64 1/3 (.f64 t z))))
(cbrt.f64 (cos.f64 (.f64 t (.f64 z 1/3))))
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 1/3)
(cbrt.f64 (cos.f64 (.f64 1/3 (.f64 t z))))
(cbrt.f64 (cos.f64 (.f64 t (.f64 z 1/3))))
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 1/3)
(cbrt.f64 (cos.f64 (.f64 1/3 (.f64 t z))))
(cbrt.f64 (cos.f64 (.f64 t (.f64 z 1/3))))
(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 1/3)
(cbrt.f64 (cos.f64 (.f64 1/3 (.f64 t z))))
(cbrt.f64 (cos.f64 (.f64 t (.f64 z 1/3))))

localize156.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 t 1/3)
✓	0.5b	(pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2)
✓	13.6b	(cbrt.f64 (.f64 z (.f64 t 1/3)))
✓	24.7b	(cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2) (cbrt.f64 (.f64 z (*.f64 t 1/3))))))

Compiler

Compiled 153 to 104 computations (32% saved)

series23.0ms (0.1%)

Counts

4 → 48

Calls

24 calls:

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

rewrite124.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 121

Calls

Call 1

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

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

simplify82.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

169 → 142

Calls

Call 1

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

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

eval642.0ms (2.6%)

Compiler: Compiled 19806 to 13374 computations (32.5% saved)

prune486.0ms (2%)

Pruning

137 alts after pruning (128 fresh and 9 done)

	Pruned	Kept	Total
New	671	67	738
Fresh	34	61	95
Picked	0	1	1
Done	0	8	8
Total	705	137	842

Error

15.5b

Counts

842 → 137

Alt Table

Click to see full alt table

Status	Error	Program
	31.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 z (-.f64 (+.f64 1 (.f64 1/3 t)) 1)))) 3)) (/.f64 a (*.f64 b 3)))
	31.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z)))) (/.f64 a (*.f64 b 3)))
	37.3b	(pow.f64 (sqrt.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))) 2)
	40.5b	(/.f64 (-.f64 (.f64 8 (pow.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) 3)) (pow.f64 (.f64 a (/.f64 1/3 b)) 3)) (fma.f64 (.f64 a (/.f64 1/3 b)) (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b))) (.f64 4 (.f64 x (pow.f64 (cos.f64 y) 2)))))
	24.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z (expm1.f64 (log1p.f64 (.f64 t 1/3))))) 2) (cbrt.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (.f64 b 3)))
	31.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (-.f64 (+.f64 1 (.f64 1/3 t)) 1)))) (/.f64 a (*.f64 b 3)))
	43.0b	(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
	23.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (cbrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
	38.6b	(/.f64 -1/3 (/.f64 b a))
✓	31.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (+.f64 1 (cos.f64 (.f64 z (.f64 1/3 t)))) 1)) (/.f64 a (*.f64 b 3)))
	50.8b	(*.f64 a (exp.f64 (log.f64 (/.f64 -1/3 b))))
	23.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (.f64 t 1/3)))) 3))))) (/.f64 a (.f64 b 3)))
	23.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2) (.f64 (cbrt.f64 (.f64 z t)) (cbrt.f64 1/3)))))) (/.f64 a (.f64 b 3)))
	23.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) 2) (pow.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) 2)) (cos.f64 (fma.f64 z (.f64 t 1/3) y)))) (/.f64 a (.f64 b 3)))
	27.4b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2))) 3/2) (/.f64 a (.f64 b 3)))
	23.3b	(-.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)))
	20.5b	(pow.f64 (cbrt.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))) 3)
	23.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
	31.1b	(-.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)))
	42.6b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 z y) (.f64 t 2/3)) (.f64 (cos.f64 (.f64 z (.f64 1/3 t))) (-.f64 2 (.f64 y y))))) (/.f64 a (*.f64 b 3)))
	50.8b	(-.f64 (.f64 (cos.f64 (.f64 z (.f64 1/3 t))) (.f64 (sqrt.f64 x) (.f64 y (neg.f64 y)))) (/.f64 a (.f64 b 3)))
	31.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 t (.f64 z 1/3)))) 3)) (/.f64 a (*.f64 b 3)))
	39.0b	(*.f64 a (pow.f64 (cbrt.f64 (/.f64 -1/3 b)) 3))
	40.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 z (exp.f64 (log.f64 (.f64 1/3 t)))))) 3)) (/.f64 a (*.f64 b 3)))
	37.0b	(-.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 t (.f64 z -1/3))) 3) (.f64 (pow.f64 x 3/2) 8))) (/.f64 a (*.f64 b 3)))
	49.0b	(pow.f64 (pow.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 3) 1/3)
	31.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 1/3 t))) 3))) (/.f64 a (*.f64 b 3)))
	23.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 (.f64 a 1/3) b))
	32.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (+.f64 1 (cos.f64 (.f64 z (expm1.f64 (log1p.f64 (.f64 1/3 t)))))) 1)) (/.f64 a (*.f64 b 3)))
✓	38.6b	(*.f64 a (/.f64 -1/3 b))
	27.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (sqrt.f64 (pow.f64 (.f64 z (.f64 t 1/3)) 2))))) (/.f64 a (*.f64 b 3)))
	31.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (+.f64 1 (sqrt.f64 (pow.f64 (cos.f64 (.f64 z (.f64 1/3 t))) 2))) 1)) (/.f64 a (*.f64 b 3)))
	23.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (/.f64 (/.f64 a b) 3))
	23.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2))) (cbrt.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (.f64 b 3)))
✓	19.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1/3 b) a))
	54.0b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 t -1/3))) 1/3)) y))) (/.f64 (*.f64 a -1/3) b))
	49.6b	(-.f64 (cbrt.f64 (log.f64 (exp.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x))) 3)))) (/.f64 a (.f64 b 3)))
	45.2b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (pow.f64 (pow.f64 (.f64 t -1/3) 3) 1/3) y))) (/.f64 (*.f64 a -1/3) b))
	31.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (.f64 z 1/3)))) (/.f64 a (*.f64 b 3)))
	28.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 (.f64 z t) 2) 1/9) 1/6) 2) (cbrt.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (.f64 b 3)))
	39.9b	(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 (*.f64 1/3 a) b))
	38.3b	(-.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)))
	41.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (pow.f64 (pow.f64 (.f64 z (.f64 1/3 t)) 3) 1/3))) (/.f64 a (*.f64 b 3)))
	23.5b	(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2))) (/.f64 (*.f64 1/3 a) b))
✓	54.1b	(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))
	36.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 z (.f64 1/3 t))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 z (.f64 1/3 t))))) (sin.f64 1)))) (/.f64 a (*.f64 b 3)))
	31.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 z (pow.f64 (cbrt.f64 (.f64 1/3 t)) 3)))) 3)) (/.f64 a (*.f64 b 3)))
	53.2b	(exp.f64 (log.f64 (*.f64 (/.f64 -1/3 b) a)))
	39.0b	(pow.f64 (cbrt.f64 (*.f64 (/.f64 -1/3 b) a)) 3)
	36.9b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (.f64 2 (sqrt.f64 x))) 3)) (/.f64 a (*.f64 b 3)))
	25.7b	(-.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)))
	57.5b	(*.f64 a (pow.f64 (pow.f64 (/.f64 -1/3 b) 3) 1/3))
	27.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2) (pow.f64 (.f64 (pow.f64 (.f64 z t) 2) 1/9) 1/6))))) (/.f64 a (.f64 b 3)))
	36.2b	(-.f64 (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x))))) 1/3)) (/.f64 a (.f64 b 3)))
	34.7b	(-.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)))
	33.7b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 (sin.f64 y) (.f64 t z)) 2/3) (.f64 (cos.f64 y) (+.f64 2 (.f64 -1/9 (.f64 (.f64 t t) (.f64 z z))))))) (/.f64 a (.f64 b 3)))
	44.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 a (/.f64 -1/3 b)))
	40.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (pow.f64 (.f64 z (.f64 t 1/3)) 1/3) 2) (cbrt.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (.f64 b 3)))
	23.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))))) (/.f64 a (.f64 b 3)))
	28.8b	(-.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 y) 3) (.f64 (pow.f64 x 3/2) 8))) (/.f64 a (*.f64 b 3)))
	40.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (exp.f64 (log.f64 (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
	30.5b	(.f64 (-.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x 4)) (pow.f64 (.f64 1/3 (/.f64 a b)) 2)) (/.f64 1 (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 1/3 (/.f64 a b)))))
	23.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 z (/.f64 1 (/.f64 3 t)))))) (/.f64 a (.f64 b 3)))
	31.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 (.f64 z (.f64 1/3 t))) -1)) 2) (cbrt.f64 (+.f64 (cos.f64 (.f64 z (.f64 1/3 t))) -1)) 1)) (/.f64 a (*.f64 b 3)))
	31.3b	(-.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)))
	31.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 t (.f64 z 1/3))))) 3) 3)) (/.f64 a (*.f64 b 3)))
	31.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 z (.f64 1/3 t))) 2)) (cbrt.f64 (cos.f64 (.f64 z (.f64 1/3 t)))))) (/.f64 a (.f64 b 3)))
	31.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (+.f64 (cos.f64 (.f64 z (.f64 1/3 t))) -1) 1)) (/.f64 a (*.f64 b 3)))
	40.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2) (pow.f64 (.f64 z (.f64 t 1/3)) 1/3))))) (/.f64 a (.f64 b 3)))
	40.3b	(-.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x))) 3) 1/3) (/.f64 a (.f64 b 3)))
	29.9b	(fma.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (/.f64 (*.f64 a -1/3) b))
	40.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (exp.f64 (.f64 (log.f64 (.f64 z (.f64 t 1/3))) 1/3)) 2) (cbrt.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
	31.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (.f64 t (.f64 z 1/3))) 2))) (/.f64 a (*.f64 b 3)))
	38.6b	(/.f64 a (/.f64 b -1/3))
	23.4b	(-.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)))
	36.0b	(-.f64 (exp.f64 (log.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 x))))) (/.f64 a (.f64 b 3)))
	23.5b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 (.f64 -1/3 (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t)) y))) (/.f64 (.f64 a -1/3) b))
	52.7b	(*.f64 a (cbrt.f64 (pow.f64 (/.f64 -1/3 b) 3)))
	31.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (+.f64 1 (cos.f64 (.f64 z (pow.f64 (cbrt.f64 (.f64 1/3 t)) 3)))) 1)) (/.f64 a (*.f64 b 3)))
	38.9b	(exp.f64 (log.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))))
	30.5b	(/.f64 (-.f64 (.f64 4 (.f64 x (pow.f64 (cos.f64 y) 2))) (.f64 (.f64 a (/.f64 -1/3 b)) (.f64 a (/.f64 -1/3 b)))) (-.f64 (.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x))) (.f64 a (/.f64 -1/3 b))))
	40.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2) (exp.f64 (.f64 (log.f64 (.f64 z (.f64 t 1/3))) 1/3)))))) (/.f64 a (*.f64 b 3)))
	38.6b	(.f64 a (.f64 (/.f64 1 b) -1/3))
	23.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (cos.f64 (fma.f64 -1/3 (.f64 z t) (.f64 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)))
	27.6b	(fma.f64 (sqrt.f64 x) (.f64 2 (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (fma.f64 z (.f64 t -1/3) y))))))) (/.f64 (*.f64 a -1/3) b))
✓	31.1b	(-.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)))
	40.4b	(expm1.f64 (log1p.f64 (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 a (/.f64 1/3 b)))))
	23.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 z 3) t)))) (/.f64 a (.f64 b 3)))
	23.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (cos.f64 (fma.f64 (.f64 (.f64 z t) -1/3) 1 (.f64 z (.f64 t 1/3))))) (.f64 (sin.f64 (fma.f64 (.f64 z t) -1/3 y)) (sin.f64 (fma.f64 (.f64 (.f64 z t) -1/3) 1 (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
	40.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 z (.f64 t 1/3)) 1/6) 2) 2) (cbrt.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (.f64 b 3)))
✓	19.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 (*.f64 1/3 a) b))
	38.6b	(/.f64 (*.f64 -1/3 a) b)
	53.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (-.f64 (/.f64 1 (-.f64 1 (cos.f64 (.f64 z (.f64 1/3 t))))) (/.f64 (pow.f64 (cos.f64 (.f64 z (.f64 1/3 t))) 2) (-.f64 1 (cos.f64 (.f64 z (.f64 1/3 t)))))) 1)) (/.f64 a (*.f64 b 3)))
	33.4b	(-.f64 (cbrt.f64 (fma.f64 t (fma.f64 2 (.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 (.f64 (cos.f64 y) (.f64 z (.f64 (sin.f64 y) x))) 8/3)) (.f64 (.f64 (.f64 z (sin.f64 y)) (pow.f64 (cos.f64 y) 2)) (.f64 (pow.f64 x 3/2) 8/3))) (.f64 (pow.f64 (cos.f64 y) 3) (.f64 (pow.f64 x 3/2) 8)))) (/.f64 a (*.f64 b 3)))
	40.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (.f64 (pow.f64 (.f64 z (.f64 t 1/3)) 1/6) (sqrt.f64 (.f64 z (.f64 t 1/3)))) (cbrt.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
	23.4b	(-.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)))
	19.9b	(fma.f64 (.f64 (cos.f64 y) (cbrt.f64 (.f64 x 4))) (cbrt.f64 (.f64 2 (sqrt.f64 x))) (/.f64 (.f64 a -1/3) b))
	22.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (cos.f64 (fma.f64 (neg.f64 (.f64 t 1/3)) z (.f64 z (.f64 t 1/3))))) (.f64 (sin.f64 (fma.f64 (.f64 z t) -1/3 y)) (sin.f64 (fma.f64 (neg.f64 (.f64 t 1/3)) z (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
	27.3b	(-.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)))
	47.0b	(*.f64 a (-.f64 (+.f64 1 (/.f64 -1/3 b)) 1))
	24.5b	(-.f64 (.f64 (.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2) (cbrt.f64 x)) (pow.f64 x 1/6)) (/.f64 a (*.f64 b 3)))
	42.8b	(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y (-.f64 y (.f64 t (.f64 z 2/3)))))) (/.f64 a (*.f64 b 3)))
	55.5b	(*.f64 a (sqrt.f64 (pow.f64 (/.f64 -1/3 b) 2)))
	54.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (/.f64 (pow.f64 (sin.f64 (.f64 z (.f64 1/3 t))) 2) (-.f64 1 (cos.f64 (.f64 z (.f64 1/3 t))))) 1)) (/.f64 a (*.f64 b 3)))
	40.5b	(cbrt.f64 (pow.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 3))
	23.7b	(-.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)))
	40.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (sqrt.f64 (.f64 1/3 t)) 2)))) (/.f64 a (*.f64 b 3)))
	38.6b	(/.f64 a (*.f64 b -3))
	31.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 (.f64 z (.f64 1/3 t))) 2)) 2) (cbrt.f64 (+.f64 (cos.f64 (.f64 z (.f64 1/3 t))) 2)) -1) 1)) (/.f64 a (*.f64 b 3)))
	40.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (sqrt.f64 (.f64 z t)) (.f64 (sqrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
	38.6b	(/.f64 1 (/.f64 b (*.f64 -1/3 a)))
	36.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (expm1.f64 (log1p.f64 (.f64 z (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
	31.1b	(-.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)))
	19.9b	(fma.f64 (.f64 2 (cbrt.f64 (.f64 x (pow.f64 (cos.f64 y) 2)))) (cbrt.f64 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (/.f64 -1/3 b)))
	38.6b	(.f64 a (pow.f64 (.f64 b -3) -1))
	23.4b	(-.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)))
✓	23.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2) (cbrt.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (.f64 b 3)))
	40.8b	(expm1.f64 (log1p.f64 (-.f64 (.f64 2 (exp.f64 (log.f64 (.f64 (sqrt.f64 x) (cos.f64 y))))) (*.f64 a (/.f64 1/3 b)))))
	31.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (expm1.f64 (cos.f64 (.f64 t (.f64 z 1/3)))))) (/.f64 a (*.f64 b 3)))
✓	38.6b	(*.f64 -1/3 (/.f64 a b))
	31.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (+.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (.f64 z (.f64 1/3 t)))) 3)) 1)) (/.f64 a (*.f64 b 3)))
	27.2b	(fma.f64 (sqrt.f64 x) (.f64 2 (sqrt.f64 (pow.f64 (-.f64 (.f64 (cos.f64 (.f64 (.f64 z t) -1/3)) (cos.f64 y)) (.f64 (sin.f64 (.f64 (.f64 z t) -1/3)) (sin.f64 y))) 2))) (/.f64 (.f64 a -1/3) b))
	40.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (.f64 (/.f64 (sqrt.f64 (.f64 1/3 a)) 1) (/.f64 (sqrt.f64 (*.f64 1/3 a)) b)))
	38.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (fma.f64 -1/18 (pow.f64 (.f64 t z) 2) 2) 1)) (/.f64 a (.f64 b 3)))
	41.6b	(-.f64 (+.f64 1 (*.f64 (/.f64 -1/3 b) a)) 1)
	31.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 t (.f64 z 1/3)))) 2)) 3) (cbrt.f64 (cos.f64 (.f64 t (.f64 z 1/3)))))) (/.f64 a (.f64 b 3)))
	27.4b	(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 (.f64 1/3 a) b))
	41.4b	(-.f64 (fma.f64 (pow.f64 x 1/4) (.f64 (pow.f64 x 1/4) (.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (-.f64 2 (.f64 y y)))) (.f64 (.f64 y 2) (.f64 (sin.f64 (.f64 t (.f64 z 1/3))) (sqrt.f64 x)))) (/.f64 a (*.f64 b 3)))
	31.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 (.f64 t (.f64 z 1/3)))))) 3)) (/.f64 a (*.f64 b 3)))
	63.1b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 t -1/3)))) (sqrt.f64 (log.f64 (.f64 t -1/3)))) y))) (/.f64 (.f64 a -1/3) b))
	40.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (exp.f64 (.f64 2/3 (log.f64 (.f64 z (.f64 t 1/3))))) (cbrt.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
	41.4b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 y (.f64 2 (sin.f64 (.f64 z (.f64 1/3 t))))) (.f64 1 (-.f64 2 (.f64 y y))))) (/.f64 a (.f64 b 3)))
✓	31.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 1/3 t)))) (/.f64 a (*.f64 b 3)))
	23.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (.f64 (cbrt.f64 z) (.f64 (cbrt.f64 (.f64 t 1/3)) (cbrt.f64 (.f64 z (.f64 t 1/3))))) (cbrt.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
	38.1b	(-.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)))
	31.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 z (.f64 1/3 t)))) 3)) 3)) (/.f64 a (*.f64 b 3)))
	28.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))))) 2) (cbrt.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (.f64 b 3)))

Compiler

Compiled 3893 to 3033 computations (22.1% saved)

regimes5.0s (20.5%)

Counts

213 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

21 calls:

376.0ms	(/.f64 (*.f64 z t) 3)
321.0ms	(-.f64 y (/.f64 (*.f64 z t) 3))
315.0ms	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))
315.0ms	(-.f64 y (/.f64 (*.f64 z t) 3))
295.0ms	(*.f64 z t)

Results

Error	Segments	Branch
19.6b	1	`x`
19.6b	1	`y`
19.6b	1	`z`
19.6b	1	`t`
19.6b	1	`a`
19.6b	1	`b`
18.3b	2	`(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))`
18.3b	2	`(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))`
18.3b	2	`(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))`
19.6b	1	`(*.f64 2 (sqrt.f64 x))`
19.6b	1	`(sqrt.f64 x)`
18.3b	2	`(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))`
18.3b	2	`(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))`
18.1b	3	`(-.f64 y (/.f64 (*.f64 z t) 3))`
18.1b	3	`(-.f64 y (/.f64 (*.f64 z t) 3))`
18.1b	3	`(/.f64 (*.f64 z t) 3)`
18.1b	3	`(/.f64 (*.f64 z t) 3)`
18.1b	3	`(*.f64 z t)`
18.1b	3	`(*.f64 z t)`
19.6b	1	`(/.f64 a (*.f64 b 3))`
19.6b	1	`(*.f64 b 3)`

Compiler

Compiled 4976 to 3247 computations (34.7% saved)

bsearch5.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.833029528764441e+256	9.036231200632296e+266
0.0ms	-5.597997730838374e+271	-8.2762282627194485e+270

Compiler

Compiled 34 to 27 computations (20.6% saved)

regimes3.7s (14.8%)

Counts

199 → 1

Calls

Call 1

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

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

Calls

19 calls:

489.0ms	b
218.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
193.0ms	t
190.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
190.0ms	(-.f64 y (/.f64 (*.f64 z t) 3))

Results

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

Compiler

Compiled 4340 to 2850 computations (34.3% saved)

regimes244.0ms (1%)

Counts

34 → 1

Calls

Call 1

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

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

Calls

12 calls:

22.0ms	(*.f64 b 3)
21.0ms	b
21.0ms	a
21.0ms	(*.f64 b 3)
20.0ms	x

Results

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

Compiler

Compiled 397 to 278 computations (30% saved)

regimes339.0ms (1.4%)

Counts

32 → 3

Calls

Call 1

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

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

Calls

10 calls:

71.0ms	a
43.0ms	y
43.0ms	z
40.0ms	(/.f64 a (*.f64 b 3))
31.0ms	(*.f64 b 3)

Results

Error	Segments	Branch
27.4b	1	`x`
26.1b	3	`y`
26.0b	3	`z`
27.4b	1	`t`
24.1b	5	`a`
25.7b	2	`b`
27.4b	1	`(*.f64 2 (sqrt.f64 x))`
27.4b	1	`(sqrt.f64 x)`
22.0b	3	`(/.f64 a (*.f64 b 3))`
25.7b	2	`(*.f64 b 3)`

Compiler

Compiled 351 to 247 computations (29.6% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0732116784826879e-76	3.530437425196783e-74
1.0ms	-7.184999773613045e-131	-1.5206579296062304e-146

Compiler

Compiled 34 to 27 computations (20.6% saved)

regimes125.0ms (0.5%)

Counts

22 → 1

Calls

Call 1

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

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

Calls

10 calls:

12.0ms	(sqrt.f64 x)
12.0ms	z
12.0ms	(*.f64 b 3)
12.0ms	(*.f64 2 (sqrt.f64 x))
12.0ms	y

Results

Error	Segments	Branch
27.4b	1	`x`
27.4b	1	`y`
27.4b	1	`z`
27.4b	1	`t`
27.4b	1	`a`
27.4b	1	`b`
27.4b	1	`(*.f64 2 (sqrt.f64 x))`
27.4b	1	`(sqrt.f64 x)`
27.4b	1	`(/.f64 a (*.f64 b 3))`
27.4b	1	`(*.f64 b 3)`

Compiler

Compiled 271 to 192 computations (29.2% saved)

regimes138.0ms (0.6%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

8 calls:

19.0ms	x
19.0ms	z
18.0ms	b
18.0ms	y
18.0ms	a

Results

Error	Segments	Branch
27.4b	1	`x`
27.4b	1	`y`
27.4b	1	`z`
27.4b	1	`t`
27.4b	1	`a`
27.4b	1	`b`
27.4b	1	`(*.f64 2 (sqrt.f64 x))`
27.4b	1	`(sqrt.f64 x)`

Compiler

Compiled 169 to 127 computations (24.9% saved)

regimes111.0ms (0.5%)

Accuracy

Total -10.2b remaining (-26.4%)

Threshold costs -10.2b (-26.4%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

6 calls:

18.0ms	b
17.0ms	t
17.0ms	a
17.0ms	x
17.0ms	y

Results

Error	Segments	Branch
38.6b	1	`x`
38.6b	1	`y`
38.6b	1	`z`
38.6b	1	`t`
38.6b	1	`a`
38.6b	1	`b`

Compiler

Compiled 131 to 98 computations (25.2% saved)

simplify33.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

27×	`*-commutative_binary64`
20×	`+-commutative_binary64`
20×	`sub-neg_binary64`
12×	`neg-sub0_binary64`
12×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	280
1	107	280
2	150	280
3	177	280
4	191	280
5	194	280

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 z t) -50000000000000003276130547873393928205874983505177622006038192830888764054465218575847358236419130340380119229243670120535560807321304343971551997158629398539552077323220041784315741335780437718211547650829610109257117652790943441028924281924646017345175130136913880547328) (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 1/3 b) a)) (if (<=.f64 (.f64 z t) 20000000000000000602553198002810850057809730795493902576642159598065482667552924656422247125382915271364876860343455656359338682733727546893769990039911439972557329123488427600520794113124591120448431860539020756576282704805706239832858824928352794692288512) (-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (cos.f64 (fma.f64 (neg.f64 (.f64 t 1/3)) z (.f64 z (.f64 t 1/3))))) (.f64 (sin.f64 (fma.f64 (.f64 z t) -1/3 y)) (sin.f64 (fma.f64 (neg.f64 (.f64 t 1/3)) z (.f64 z (.f64 t 1/3))))))) (/.f64 a (.f64 b 3))) (-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (pow.f64 (.f64 3 (/.f64 b a)) -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 a) b))
(if (<=.f64 (/.f64 a (.f64 b 3)) -1248699420126397/24973988402527937851052777838345330445988785141319769206873255677002973910558124960962448824507935769278615448971252983163583805434306282450321408) (-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3))) (if (<=.f64 (/.f64 a (.f64 b 3)) 6518515124270355/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016) (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))))
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 (.f64 1/3 a) b))
(/.f64 a (*.f64 b -3))
(/.f64 a (/.f64 b -1/3))

Outputs
(if (<=.f64 (.f64 z t) -50000000000000003276130547873393928205874983505177622006038192830888764054465218575847358236419130340380119229243670120535560807321304343971551997158629398539552077323220041784315741335780437718211547650829610109257117652790943441028924281924646017345175130136913880547328) (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 1/3 b) a)) (if (<=.f64 (.f64 z t) 20000000000000000602553198002810850057809730795493902576642159598065482667552924656422247125382915271364876860343455656359338682733727546893769990039911439972557329123488427600520794113124591120448431860539020756576282704805706239832858824928352794692288512) (-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (cos.f64 (fma.f64 (neg.f64 (.f64 t 1/3)) z (.f64 z (.f64 t 1/3))))) (.f64 (sin.f64 (fma.f64 (.f64 z t) -1/3 y)) (sin.f64 (fma.f64 (neg.f64 (.f64 t 1/3)) z (.f64 z (.f64 t 1/3))))))) (/.f64 a (.f64 b 3))) (-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (pow.f64 (.f64 3 (/.f64 b a)) -1))))
(if (<=.f64 (.f64 z t) -50000000000000003276130547873393928205874983505177622006038192830888764054465218575847358236419130340380119229243670120535560807321304343971551997158629398539552077323220041784315741335780437718211547650829610109257117652790943441028924281924646017345175130136913880547328) (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 1/3 b) a)) (if (<=.f64 (.f64 z t) 20000000000000000602553198002810850057809730795493902576642159598065482667552924656422247125382915271364876860343455656359338682733727546893769990039911439972557329123488427600520794113124591120448431860539020756576282704805706239832858824928352794692288512) (-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (cos.f64 (fma.f64 (.f64 t -1/3) z (.f64 z (.f64 t 1/3))))) (.f64 (sin.f64 (fma.f64 (.f64 z t) -1/3 y)) (sin.f64 (fma.f64 (.f64 t -1/3) z (.f64 z (.f64 t 1/3))))))) (/.f64 a (.f64 b 3))) (-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (pow.f64 (.f64 3 (/.f64 b a)) -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 a) b))
(+.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 (*.f64 a -1/3) b))
(if (<=.f64 (/.f64 a (.f64 b 3)) -1248699420126397/24973988402527937851052777838345330445988785141319769206873255677002973910558124960962448824507935769278615448971252983163583805434306282450321408) (-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3))) (if (<=.f64 (/.f64 a (.f64 b 3)) 6518515124270355/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016) (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))))
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 (.f64 1/3 a) b))
(+.f64 (.f64 2 (sqrt.f64 x)) (/.f64 (.f64 a -1/3) b))
(/.f64 a (*.f64 b -3))
(/.f64 a (/.f64 b -1/3))

Compiler

Compiled 234 to 169 computations (27.8% saved)

soundness0.0ms (0%)

end101.0ms (0.4%)

Remove: (sort z t)
Compiler: Compiled 378 to 239 computations (36.8% saved)