Details

analyze1.7s (7.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	74.8%	25.2%	8
0%	74.8%	25.2%	9
0%	74.8%	25.2%	10
0%	74.8%	25.2%	11
0%	74.8%	25.2%	12

Compiler

Compiled 26 to 20 computations (23.1% saved)

sample4.4s (19.6%)

Results

1.5s	5765×	body	256	invalid
1.0s	5019×	body	256	valid
926.0ms	1663×	body	1024	valid
634.0ms	800×	body	2048	valid
317.0ms	773×	body	512	valid
2.0ms	1×	body	4096	valid

preprocess68.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	114	464
1	280	464
2	569	464
3	1059	432
4	2182	400
5	4013	400
6	6133	400
0	6	6
1	6	6

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1
2
3
4
5

Outputs
0
1
2
3
2
4
5

Call 2

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

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

Symmetry

(sort z t)

Compiler

Compiled 31 to 25 computations (19.4% saved)

simplify44.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	19	29
1	34	29
2	65	29
3	120	27
4	241	25
5	399	25
6	639	25
7	922	25
8	1213	25
9	1748	25
10	2412	25
11	2780	25
12	2871	25
13	2887	25
14	2887	25

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

21.5b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	21.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))
▶	21.8b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (*.f64 a (/.f64 -1/3 b)))

Compiler

Compiled 48 to 36 computations (25% saved)

localize33.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.3b	(*.f64 t -1/3)
	0.2b	(*.f64 a (/.f64 -1/3 b))
	0.1b	(fma.f64 z (*.f64 t -1/3) y)
	0.0b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (*.f64 a (/.f64 -1/3 b)))
✓	0.3b	(*.f64 t -1/3)
✓	0.3b	(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y)))
✓	0.3b	(/.f64 -1/3 b)
✓	26.0b	(cos.f64 (fma.f64 z (*.f64 t -1/3) y))

Compiler

Compiled 67 to 38 computations (43.3% saved)

series18.0ms (0.1%)

Counts

4 → 84

Calls

27 calls:

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

rewrite73.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 102

Calls

Call 1

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

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

simplify78.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

186 → 140

Calls

Call 1

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

localize36.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(/.f64 a (*.f64 b 3))
	0.2b	(/.f64 (*.f64 z t) 3)
	0.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))
	0.0b	(-.f64 y (/.f64 (*.f64 z t) 3))
✓	0.2b	(/.f64 (*.f64 z t) 3)
✓	0.2b	(/.f64 a (*.f64 b 3))
✓	0.3b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
✓	26.0b	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))

Compiler

Compiled 83 to 44 computations (47% saved)

series24.0ms (0.1%)

Counts

4 → 120

Calls

33 calls:

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

rewrite98.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	46
1	393	46
2	5245	42

Stop Event

1×	node limit

Counts

4 → 125

Calls

Call 1

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

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

simplify72.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	100	1982
1	305	1827
2	970	1713
3	4518	1707

Stop Event

1×	node limit

Counts

245 → 166

Calls

Call 1

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

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

eval145.0ms (0.6%)

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

prune188.0ms (0.8%)

Pruning

52 alts after pruning (52 fresh and 0 done)

	Pruned	Kept	Total
New	254	52	306
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	256	52	308

Error

16.1b

Counts

308 → 52

Alt Table

Click to see full alt table

Status	Error	Program
	21.9b	(-.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)))
	29.9b	(fma.f64 2 (.f64 (cos.f64 (.f64 z (.f64 t -1/3))) (sqrt.f64 x)) (.f64 a (/.f64 -1/3 b)))
▶	18.3b	(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (/.f64 a (*.f64 b 3)))
	30.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z))))) (/.f64 a (*.f64 b 3)))
	21.9b	(-.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)))
	21.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
	21.9b	(-.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)))
	21.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) 3))) (/.f64 a (.f64 b 3)))
▶	21.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)))) 1)) (/.f64 a (.f64 b 3)))
	21.9b	(fma.f64 2 (.f64 (sqrt.f64 x) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))))) (.f64 a (/.f64 -1/3 b)))
	37.7b	(-.f64 (exp.f64 (log.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (sqrt.f64 (.f64 x 4))))) (/.f64 a (.f64 b 3)))
	22.3b	(fma.f64 2 (.f64 (sqrt.f64 x) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))))) (.f64 a (/.f64 -1/3 b)))
▶	21.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))))) (/.f64 a (.f64 b 3)))
	24.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))))) (/.f64 a (.f64 b 3)))
	34.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (pow.f64 (.f64 z (.f64 t 1/3)) 3) 1/3)))) (/.f64 a (*.f64 b 3)))
	40.3b	(fma.f64 2 (.f64 (sqrt.f64 x) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 z (.f64 t -1/3) y)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 z (.f64 t -1/3) y)))) (sin.f64 1)))) (.f64 a (/.f64 -1/3 b)))
	21.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3))))) (/.f64 a (*.f64 b 3)))
	21.7b	(-.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)))
	27.4b	(-.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)))
	21.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 z (/.f64 1 (/.f64 3 t)))))) (/.f64 a (.f64 b 3)))
	41.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (/.f64 1/3 b))))
	21.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))) (cbrt.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))))) (cbrt.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))))) (/.f64 a (.f64 b 3)))
	37.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (sqrt.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))) 2)) (/.f64 a (.f64 b 3)))
	21.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 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)))))) (/.f64 a (*.f64 b 3)))
	54.0b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (exp.f64 (log.f64 (.f64 t -1/3))) y))) (*.f64 a (/.f64 -1/3 b)))
	21.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 3)))) (/.f64 a (*.f64 b 3)))
	28.1b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (sqrt.f64 (.f64 x 4))) 3)) (/.f64 a (.f64 b 3)))
	21.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 (sin.f64 (.f64 z (.f64 t 1/3))) (sin.f64 y) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))))) (/.f64 a (.f64 b 3)))
	22.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))) 3)) (/.f64 a (.f64 b 3)))
▶	42.4b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 y (.f64 2 (sin.f64 (.f64 t (.f64 1/3 z))))) (.f64 (cos.f64 (.f64 t (.f64 1/3 z))) (-.f64 2 (.f64 y y))))) (/.f64 a (.f64 b 3)))
	37.0b	(fma.f64 2 (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (sqrt.f64 x)))) 1/3)) (*.f64 a (/.f64 -1/3 b)))
	22.1b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (*.f64 a (pow.f64 (cbrt.f64 (/.f64 -1/3 b)) 3)))
	21.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 z 3) t)))) (/.f64 a (.f64 b 3)))
	22.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 1/3 (/.f64 a b)))
	21.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) 3) (pow.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) 3)) (fma.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (-.f64 (.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))) (.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))))))) (/.f64 a (*.f64 b 3)))
	28.8b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (sqrt.f64 (.f64 (.f64 t t) 1/9)) y))) (.f64 a (/.f64 -1/3 b)))
	24.9b	(fma.f64 2 (.f64 (sqrt.f64 x) (fma.f64 (.f64 t z) (.f64 1/3 (sin.f64 y)) (cos.f64 y))) (.f64 a (/.f64 -1/3 b)))
	22.1b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (sqrt.f64 (.f64 x 4)))) 3) (/.f64 a (.f64 b 3)))
	21.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 1 b) (/.f64 a 3)))
	22.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 a (/.f64 1/3 b)))
	40.1b	(-.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (sqrt.f64 (.f64 x 4))) 3) 1/3) (/.f64 a (.f64 b 3)))
	21.8b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (pow.f64 (cbrt.f64 (.f64 t -1/3)) 3) y))) (*.f64 a (/.f64 -1/3 b)))
	21.8b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (.f64 a (.f64 1/3 (/.f64 1 (neg.f64 b)))))
	27.3b	(-.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)))
	18.4b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 -1/3 b)))
	24.8b	(-.f64 (.f64 (sqrt.f64 x) (fma.f64 (.f64 (.f64 t 2/3) z) (sin.f64 y) (.f64 2 (cos.f64 y)))) (/.f64 a (*.f64 b 3)))
	35.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) y)) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))) (/.f64 a (*.f64 b 3)))
	28.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (cbrt.f64 (pow.f64 (.f64 z (.f64 t 1/3)) 3))))) (/.f64 a (*.f64 b 3)))
	35.1b	(-.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (sqrt.f64 (.f64 x 4))))) 1) (/.f64 a (.f64 b 3)))
▶	30.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (.f64 1/3 z)))) (/.f64 a (*.f64 b 3)))
	27.5b	(fma.f64 2 (sqrt.f64 (.f64 x (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2))) (*.f64 a (/.f64 -1/3 b)))
	27.4b	(-.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 3174 to 2394 computations (24.6% saved)

localize25.0ms (0.1%)

Local error

Found 8 expressions with local error:

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

Compiler

Compiled 48 to 27 computations (43.8% saved)

series42.0ms (0.2%)

Counts

3 → 53

Calls

21 calls:

Time	Variable		Point	Expression
29.0ms	b	@	inf	(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (/.f64 a (*.f64 b 3)))
1.0ms	y	@	inf	(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (/.f64 a (*.f64 b 3)))
1.0ms	x	@	0	(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
1.0ms	a	@	0	(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (/.f64 a (*.f64 b 3)))
1.0ms	x	@	-inf	(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))

rewrite101.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

767×	`log-prod_binary64`
385×	`pow2_binary64`
343×	`fma-def_binary64`
267×	`pow1/3_binary64`
266×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	34
1	299	34
2	3948	34

Stop Event

1×	node limit

Counts

3 → 174

Calls

Call 1

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

Outputs

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

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

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

simplify54.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

490×	`distribute-rgt-neg-in_binary64`
478×	`associate-l_binary64`
451×	`distribute-lft-out_binary64`
449×	`distribute-rgt-out_binary64`
447×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	51	897
1	130	867
2	348	821
3	1156	821
4	3792	821

Stop Event

1×	node limit

Counts

227 → 202

Calls

Call 1

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

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

localize38.0ms (0.2%)

Local error

Found 8 expressions with local error:

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

Compiler

Compiled 70 to 44 computations (37.1% saved)

series11.0ms (0%)

Counts

3 → 48

Calls

18 calls:

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

rewrite64.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	30
1	242	30
2	2782	30

Stop Event

1×	node limit

Counts

3 → 69

Calls

Call 1

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

Outputs

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

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

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

simplify170.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 7 (0.0ms)

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

Stop Event

1×	node limit

Counts

117 → 87

Calls

Call 1

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

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

localize111.0ms (0.5%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(.f64 (cos.f64 (.f64 t (.f64 1/3 z))) (-.f64 2 (.f64 y y)))
	0.0b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 y (.f64 2 (sin.f64 (.f64 t (.f64 1/3 z))))) (.f64 (cos.f64 (.f64 t (.f64 1/3 z))) (-.f64 2 (.f64 y y))))) (/.f64 a (.f64 b 3)))
	0.0b	(+.f64 (.f64 y (.f64 2 (sin.f64 (.f64 t (.f64 1/3 z))))) (.f64 (cos.f64 (.f64 t (.f64 1/3 z))) (-.f64 2 (.f64 y y))))
	0.0b	(.f64 2 (sin.f64 (.f64 t (*.f64 1/3 z))))
✓	2.2b	(.f64 (sqrt.f64 x) (+.f64 (.f64 y (.f64 2 (sin.f64 (.f64 t (.f64 1/3 z))))) (.f64 (cos.f64 (.f64 t (.f64 1/3 z))) (-.f64 2 (*.f64 y y)))))
✓	3.0b	(.f64 y (.f64 2 (sin.f64 (.f64 t (.f64 1/3 z)))))
✓	28.9b	(sin.f64 (.f64 t (.f64 1/3 z)))
	29.6b	(cos.f64 (.f64 t (.f64 1/3 z)))

Compiler

Compiled 164 to 102 computations (37.8% saved)

series32.0ms (0.1%)

Counts

3 → 96

Calls

27 calls:

Time	Variable		Point	Expression
8.0ms	t	@	-inf	(.f64 y (.f64 2 (sin.f64 (.f64 t (.f64 1/3 z)))))
3.0ms	t	@	0	(.f64 (sqrt.f64 x) (+.f64 (.f64 y (.f64 2 (sin.f64 (.f64 t (.f64 1/3 z))))) (.f64 (cos.f64 (.f64 t (.f64 1/3 z))) (-.f64 2 (*.f64 y y)))))
2.0ms	y	@	0	(.f64 y (.f64 2 (sin.f64 (.f64 t (.f64 1/3 z)))))
1.0ms	x	@	0	(.f64 (sqrt.f64 x) (+.f64 (.f64 y (.f64 2 (sin.f64 (.f64 t (.f64 1/3 z))))) (.f64 (cos.f64 (.f64 t (.f64 1/3 z))) (-.f64 2 (*.f64 y y)))))
1.0ms	x	@	-inf	(.f64 (sqrt.f64 x) (+.f64 (.f64 y (.f64 2 (sin.f64 (.f64 t (.f64 1/3 z))))) (.f64 (cos.f64 (.f64 t (.f64 1/3 z))) (-.f64 2 (*.f64 y y)))))

rewrite88.0ms (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	5459	62

Stop Event

1×	node limit

Counts

3 → 98

Calls

Call 1

Inputs

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

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

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

Outputs

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

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simplify107.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

738×	`associate-l_binary64`
694×	`fma-def_binary64`
644×	`associate-r_binary64`
604×	`unswap-sqr_binary64`
325×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	91	2885
1	277	2370
2	901	2318
3	4500	2294
4	7774	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 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 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 (.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 (+.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 (-.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)))))))

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

localize53.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(/.f64 a (*.f64 b 3))
	0.2b	(fma.f64 (*.f64 z t) -1/3 y)
	0.1b	(exp.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y)))
	0.0b	(-.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)))
	0.2b	(/.f64 a (*.f64 b 3))
✓	0.3b	(.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y)))))
✓	0.5b	(log.f64 (exp.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y))))
✓	25.9b	(cos.f64 (fma.f64 (*.f64 z t) -1/3 y))

Compiler

Compiled 96 to 52 computations (45.8% saved)

series17.0ms (0.1%)

Counts

3 → 108

Calls

30 calls:

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

rewrite72.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

644×	`log-prod_binary64`
388×	`pow-prod-down_binary64`
345×	`pow2_binary64`
244×	`pow1/3_binary64`
242×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	38
1	283	38
2	3165	38

Stop Event

1×	node limit

Counts

3 → 91

Calls

Call 1

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

Outputs

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

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

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

simplify92.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

644×	`associate-r_binary64`
621×	`associate-l_binary64`
588×	`fma-def_binary64`
520×	`unswap-sqr_binary64`
424×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	89	2147
1	261	2057
2	850	1951
3	3848	1918
4	6264	1910

Stop Event

1×	node limit

Counts

199 → 93

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

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

localize65.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(exp.f64 (log1p.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y))))
	0.2b	(/.f64 a (*.f64 b 3))
	0.2b	(fma.f64 (*.f64 z t) -1/3 y)
	0.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)))) 1)) (/.f64 a (.f64 b 3)))
✓	0.3b	(.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y)))) 1))
✓	0.4b	(log1p.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y)))
✓	0.5b	(-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y)))) 1)
	25.9b	(cos.f64 (fma.f64 (*.f64 z t) -1/3 y))

Compiler

Compiled 112 to 64 computations (42.9% saved)

series250.0ms (1.1%)

Counts

3 → 108

Calls

30 calls:

Time	Variable		Point	Expression
83.0ms	z	@	inf	(-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y)))) 1)
60.0ms	t	@	inf	(-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y)))) 1)
22.0ms	t	@	-inf	(-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y)))) 1)
21.0ms	z	@	-inf	(-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y)))) 1)
20.0ms	y	@	-inf	(-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y)))) 1)

rewrite111.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

707×	`log-prod_binary64`
385×	`pow2_binary64`
271×	`pow1/3_binary64`
270×	`log1p-udef_binary64`
269×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	40
1	343	40
2	3785	40

Stop Event

1×	node limit

Counts

3 → 104

Calls

Call 1

Inputs

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

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

(*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y)))) 1))

Outputs

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

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

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

simplify129.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

886×	`associate-/l*_binary64`
665×	`associate-*l/_binary64`
584×	`associate-/r*_binary64`
321×	`associate-r_binary64`
297×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	239	4769
1	854	4527
2	3816	3932

Stop Event

1×	node limit

Counts

212 → 167

Calls

Call 1

Inputs
(cos.f64 y)
(+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))
(+.f64 (.f64 (+.f64 (.f64 1/18 (/.f64 (.f64 (pow.f64 t 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (+.f64 1 (cos.f64 y)) 2))) (.f64 1/2 (+.f64 (.f64 -1/9 (/.f64 (.f64 (pow.f64 t 2) (cos.f64 y)) (+.f64 1 (cos.f64 y)))) (.f64 -1/9 (/.f64 (.f64 (pow.f64 t 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (+.f64 1 (cos.f64 y)) 2)))))) (.f64 (+.f64 1 (cos.f64 y)) (pow.f64 z 2))) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))))
(+.f64 (.f64 (+.f64 (.f64 1/18 (/.f64 (.f64 (pow.f64 t 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (+.f64 1 (cos.f64 y)) 2))) (.f64 1/2 (+.f64 (.f64 -1/9 (/.f64 (.f64 (pow.f64 t 2) (cos.f64 y)) (+.f64 1 (cos.f64 y)))) (.f64 -1/9 (/.f64 (.f64 (pow.f64 t 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (+.f64 1 (cos.f64 y)) 2)))))) (.f64 (+.f64 1 (cos.f64 y)) (pow.f64 z 2))) (+.f64 (.f64 (+.f64 1 (cos.f64 y)) (.f64 (+.f64 (.f64 1/6 (+.f64 (.f64 2/27 (/.f64 (.f64 (pow.f64 t 3) (pow.f64 (sin.f64 y) 3)) (pow.f64 (+.f64 1 (cos.f64 y)) 3))) (+.f64 (.f64 1/9 (/.f64 (.f64 (pow.f64 t 3) (.f64 (cos.f64 y) (sin.f64 y))) (pow.f64 (+.f64 1 (cos.f64 y)) 2))) (.f64 -1/27 (/.f64 (.f64 (pow.f64 t 3) (sin.f64 y)) (+.f64 1 (cos.f64 y))))))) (+.f64 (.f64 1/162 (/.f64 (.f64 (pow.f64 t 3) (pow.f64 (sin.f64 y) 3)) (pow.f64 (+.f64 1 (cos.f64 y)) 3))) (.f64 1/6 (/.f64 (.f64 t (.f64 (+.f64 (.f64 -1/9 (/.f64 (.f64 (pow.f64 t 2) (cos.f64 y)) (+.f64 1 (cos.f64 y)))) (.f64 -1/9 (/.f64 (.f64 (pow.f64 t 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (+.f64 1 (cos.f64 y)) 2)))) (sin.f64 y))) (+.f64 1 (cos.f64 y)))))) (pow.f64 z 3))) (+.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 (.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 -1/9 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (+.f64 1 (cos.f64 y)) 2))) (.f64 -1/9 (/.f64 (.f64 (cos.f64 y) (pow.f64 z 2)) (+.f64 1 (cos.f64 y)))))) (.f64 1/18 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (+.f64 1 (cos.f64 y)) 2)))) (.f64 (pow.f64 t 2) (+.f64 1 (cos.f64 y)))) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 -1/9 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (+.f64 1 (cos.f64 y)) 2))) (.f64 -1/9 (/.f64 (.f64 (cos.f64 y) (pow.f64 z 2)) (+.f64 1 (cos.f64 y)))))) (.f64 1/18 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (+.f64 1 (cos.f64 y)) 2)))) (.f64 (pow.f64 t 2) (+.f64 1 (cos.f64 y)))) (+.f64 (cos.f64 y) (+.f64 (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 (+.f64 (.f64 1/6 (/.f64 (.f64 (+.f64 (.f64 -1/9 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (+.f64 1 (cos.f64 y)) 2))) (.f64 -1/9 (/.f64 (.f64 (cos.f64 y) (pow.f64 z 2)) (+.f64 1 (cos.f64 y))))) (.f64 z (sin.f64 y))) (+.f64 1 (cos.f64 y)))) (+.f64 (.f64 1/6 (+.f64 (.f64 1/9 (/.f64 (.f64 (pow.f64 z 3) (.f64 (cos.f64 y) (sin.f64 y))) (pow.f64 (+.f64 1 (cos.f64 y)) 2))) (+.f64 (.f64 2/27 (/.f64 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (pow.f64 (+.f64 1 (cos.f64 y)) 3))) (.f64 -1/27 (/.f64 (.f64 (pow.f64 z 3) (sin.f64 y)) (+.f64 1 (cos.f64 y))))))) (.f64 1/162 (/.f64 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (pow.f64 (+.f64 1 (cos.f64 y)) 3))))) (*.f64 (pow.f64 t 3) (+.f64 1 (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)))
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(+.f64 (.f64 2 (.f64 (.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 -1 (/.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (+.f64 1 (cos.f64 (.f64 -1/3 (.f64 t z)))))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) 2) (pow.f64 (+.f64 1 (cos.f64 (.f64 -1/3 (.f64 t z)))) 2))))) (.f64 1/2 (/.f64 (pow.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) 2) (pow.f64 (+.f64 1 (cos.f64 (.f64 -1/3 (.f64 t z)))) 2)))) (.f64 (pow.f64 y 2) (+.f64 1 (cos.f64 (.f64 -1/3 (.f64 t z)))))) (sqrt.f64 x))) (+.f64 (.f64 2 (.f64 (.f64 (pow.f64 y 3) (.f64 (+.f64 1 (cos.f64 (.f64 -1/3 (.f64 t z)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (+.f64 1 (cos.f64 (.f64 -1/3 (.f64 t z)))))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) 2) (pow.f64 (+.f64 1 (cos.f64 (.f64 -1/3 (.f64 t z)))) 2)))) (sin.f64 (.f64 -1/3 (.f64 t z)))) (+.f64 1 (cos.f64 (.f64 -1/3 (.f64 t z)))))) (+.f64 (.f64 1/6 (+.f64 (/.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) (+.f64 1 (cos.f64 (.f64 -1/3 (.f64 t z))))) (+.f64 (.f64 -2 (/.f64 (pow.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) 3) (pow.f64 (+.f64 1 (cos.f64 (.f64 -1/3 (.f64 t z)))) 3))) (.f64 -3 (/.f64 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (sin.f64 (.f64 -1/3 (.f64 t z)))) (pow.f64 (+.f64 1 (cos.f64 (.f64 -1/3 (.f64 t z)))) 2)))))) (.f64 -1/6 (/.f64 (pow.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) 3) (pow.f64 (+.f64 1 (cos.f64 (.f64 -1/3 (.f64 t z)))) 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))))))
(.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 1/3 (.f64 (*.f64 t z) (sin.f64 y))))
(fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (cos.f64 y))
(fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))
(+.f64 (.f64 (+.f64 (.f64 1/18 (/.f64 (.f64 (pow.f64 t 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (+.f64 1 (cos.f64 y)) 2))) (.f64 1/2 (+.f64 (.f64 -1/9 (/.f64 (.f64 (pow.f64 t 2) (cos.f64 y)) (+.f64 1 (cos.f64 y)))) (.f64 -1/9 (/.f64 (.f64 (pow.f64 t 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (+.f64 1 (cos.f64 y)) 2)))))) (.f64 (+.f64 1 (cos.f64 y)) (pow.f64 z 2))) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))))
(fma.f64 (fma.f64 1/18 (/.f64 (.f64 (.f64 t t) (pow.f64 (sin.f64 y) 2)) (pow.f64 (+.f64 (cos.f64 y) 1) 2)) (.f64 1/2 (.f64 -1/9 (+.f64 (/.f64 (.f64 t t) (/.f64 (+.f64 (cos.f64 y) 1) (cos.f64 y))) (/.f64 (.f64 (.f64 t t) (pow.f64 (sin.f64 y) 2)) (pow.f64 (+.f64 (cos.f64 y) 1) 2)))))) (.f64 (+.f64 (cos.f64 y) 1) (.f64 z z)) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 (.f64 t z) (sin.f64 y)))))
(fma.f64 (fma.f64 1/18 (.f64 (/.f64 (.f64 t t) (pow.f64 (+.f64 (cos.f64 y) 1) 2)) (pow.f64 (sin.f64 y) 2)) (.f64 -1/18 (+.f64 (.f64 (/.f64 (.f64 t t) (pow.f64 (+.f64 (cos.f64 y) 1) 2)) (pow.f64 (sin.f64 y) 2)) (/.f64 (.f64 t t) (/.f64 (+.f64 (cos.f64 y) 1) (cos.f64 y)))))) (.f64 (+.f64 (cos.f64 y) 1) (.f64 z z)) (fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (cos.f64 y)))
(fma.f64 (+.f64 (.f64 (.f64 (/.f64 (.f64 t t) (+.f64 (cos.f64 y) 1)) (cos.f64 y)) -1/18) (.f64 (.f64 (/.f64 (.f64 t t) (pow.f64 (+.f64 (cos.f64 y) 1) 2)) (pow.f64 (sin.f64 y) 2)) 0)) (.f64 (+.f64 (cos.f64 y) 1) (.f64 z z)) (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y)))
(+.f64 (.f64 (+.f64 (.f64 1/18 (/.f64 (.f64 (pow.f64 t 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (+.f64 1 (cos.f64 y)) 2))) (.f64 1/2 (+.f64 (.f64 -1/9 (/.f64 (.f64 (pow.f64 t 2) (cos.f64 y)) (+.f64 1 (cos.f64 y)))) (.f64 -1/9 (/.f64 (.f64 (pow.f64 t 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (+.f64 1 (cos.f64 y)) 2)))))) (.f64 (+.f64 1 (cos.f64 y)) (pow.f64 z 2))) (+.f64 (.f64 (+.f64 1 (cos.f64 y)) (.f64 (+.f64 (.f64 1/6 (+.f64 (.f64 2/27 (/.f64 (.f64 (pow.f64 t 3) (pow.f64 (sin.f64 y) 3)) (pow.f64 (+.f64 1 (cos.f64 y)) 3))) (+.f64 (.f64 1/9 (/.f64 (.f64 (pow.f64 t 3) (.f64 (cos.f64 y) (sin.f64 y))) (pow.f64 (+.f64 1 (cos.f64 y)) 2))) (.f64 -1/27 (/.f64 (.f64 (pow.f64 t 3) (sin.f64 y)) (+.f64 1 (cos.f64 y))))))) (+.f64 (.f64 1/162 (/.f64 (.f64 (pow.f64 t 3) (pow.f64 (sin.f64 y) 3)) (pow.f64 (+.f64 1 (cos.f64 y)) 3))) (.f64 1/6 (/.f64 (.f64 t (.f64 (+.f64 (.f64 -1/9 (/.f64 (.f64 (pow.f64 t 2) (cos.f64 y)) (+.f64 1 (cos.f64 y)))) (.f64 -1/9 (/.f64 (.f64 (pow.f64 t 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (+.f64 1 (cos.f64 y)) 2)))) (sin.f64 y))) (+.f64 1 (cos.f64 y)))))) (pow.f64 z 3))) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(fma.f64 (fma.f64 1/18 (/.f64 (.f64 (.f64 t t) (pow.f64 (sin.f64 y) 2)) (pow.f64 (+.f64 (cos.f64 y) 1) 2)) (.f64 1/2 (.f64 -1/9 (+.f64 (/.f64 (.f64 t t) (/.f64 (+.f64 (cos.f64 y) 1) (cos.f64 y))) (/.f64 (.f64 (.f64 t t) (pow.f64 (sin.f64 y) 2)) (pow.f64 (+.f64 (cos.f64 y) 1) 2)))))) (.f64 (+.f64 (cos.f64 y) 1) (.f64 z z)) (fma.f64 (+.f64 (cos.f64 y) 1) (.f64 (fma.f64 1/6 (fma.f64 2/27 (/.f64 (.f64 (pow.f64 t 3) (pow.f64 (sin.f64 y) 3)) (pow.f64 (+.f64 (cos.f64 y) 1) 3)) (fma.f64 1/9 (/.f64 (.f64 (pow.f64 t 3) (.f64 (cos.f64 y) (sin.f64 y))) (pow.f64 (+.f64 (cos.f64 y) 1) 2)) (.f64 -1/27 (/.f64 (.f64 (sin.f64 y) (pow.f64 t 3)) (+.f64 (cos.f64 y) 1))))) (fma.f64 1/162 (/.f64 (.f64 (pow.f64 t 3) (pow.f64 (sin.f64 y) 3)) (pow.f64 (+.f64 (cos.f64 y) 1) 3)) (/.f64 (.f64 1/6 (.f64 t (.f64 (sin.f64 y) (.f64 -1/9 (+.f64 (/.f64 (.f64 t t) (/.f64 (+.f64 (cos.f64 y) 1) (cos.f64 y))) (/.f64 (.f64 (.f64 t t) (pow.f64 (sin.f64 y) 2)) (pow.f64 (+.f64 (cos.f64 y) 1) 2))))))) (+.f64 (cos.f64 y) 1)))) (pow.f64 z 3)) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 (.f64 t z) (sin.f64 y))))))
(fma.f64 (fma.f64 1/18 (.f64 (/.f64 (.f64 t t) (pow.f64 (+.f64 (cos.f64 y) 1) 2)) (pow.f64 (sin.f64 y) 2)) (.f64 -1/18 (+.f64 (.f64 (/.f64 (.f64 t t) (pow.f64 (+.f64 (cos.f64 y) 1) 2)) (pow.f64 (sin.f64 y) 2)) (/.f64 (.f64 t t) (/.f64 (+.f64 (cos.f64 y) 1) (cos.f64 y)))))) (.f64 (+.f64 (cos.f64 y) 1) (.f64 z z)) (fma.f64 (.f64 (+.f64 (cos.f64 y) 1) (fma.f64 1/6 (fma.f64 2/27 (.f64 (/.f64 (pow.f64 t 3) (pow.f64 (+.f64 (cos.f64 y) 1) 3)) (pow.f64 (sin.f64 y) 3)) (fma.f64 1/9 (/.f64 (.f64 (pow.f64 t 3) (.f64 (cos.f64 y) (sin.f64 y))) (pow.f64 (+.f64 (cos.f64 y) 1) 2)) (.f64 -1/27 (.f64 (/.f64 (pow.f64 t 3) (+.f64 (cos.f64 y) 1)) (sin.f64 y))))) (fma.f64 1/6 (.f64 (/.f64 t (+.f64 (cos.f64 y) 1)) (.f64 (.f64 (sin.f64 y) -1/9) (+.f64 (.f64 (/.f64 (.f64 t t) (pow.f64 (+.f64 (cos.f64 y) 1) 2)) (pow.f64 (sin.f64 y) 2)) (/.f64 (.f64 t t) (/.f64 (+.f64 (cos.f64 y) 1) (cos.f64 y)))))) (.f64 (.f64 (/.f64 (pow.f64 t 3) (pow.f64 (+.f64 (cos.f64 y) 1) 3)) (pow.f64 (sin.f64 y) 3)) 1/162)))) (pow.f64 z 3) (fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (cos.f64 y))))
(+.f64 (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y)) (.f64 (+.f64 (cos.f64 y) 1) (+.f64 (.f64 (fma.f64 1/6 (fma.f64 2/27 (/.f64 (pow.f64 t 3) (pow.f64 (/.f64 (+.f64 (cos.f64 y) 1) (sin.f64 y)) 3)) (fma.f64 -1/27 (.f64 (tan.f64 (/.f64 y 2)) (pow.f64 t 3)) (.f64 1/9 (/.f64 (.f64 (cos.f64 y) (pow.f64 t 3)) (/.f64 (+.f64 (cos.f64 y) 1) (tan.f64 (/.f64 y 2))))))) (fma.f64 1/6 (.f64 (/.f64 t (+.f64 (cos.f64 y) 1)) (.f64 (.f64 (sin.f64 y) -1/9) (.f64 (/.f64 (.f64 t t) (+.f64 (cos.f64 y) 1)) (+.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (+.f64 (cos.f64 y) 1)) (cos.f64 y))))) (/.f64 (pow.f64 t 3) (/.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 y) 1) (sin.f64 y)) 3) 1/162)))) (pow.f64 z 3)) (.f64 (.f64 z z) (+.f64 (.f64 (.f64 (/.f64 (.f64 t t) (+.f64 (cos.f64 y) 1)) (cos.f64 y)) -1/18) (.f64 (.f64 (/.f64 (.f64 t t) (pow.f64 (+.f64 (cos.f64 y) 1) 2)) (pow.f64 (sin.f64 y) 2)) 0))))))
(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 1/3 (.f64 (*.f64 t z) (sin.f64 y))))
(fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (cos.f64 y))
(fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))
(+.f64 (.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 -1/9 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (+.f64 1 (cos.f64 y)) 2))) (.f64 -1/9 (/.f64 (.f64 (cos.f64 y) (pow.f64 z 2)) (+.f64 1 (cos.f64 y)))))) (.f64 1/18 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (+.f64 1 (cos.f64 y)) 2)))) (.f64 (pow.f64 t 2) (+.f64 1 (cos.f64 y)))) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y))))))
(fma.f64 (fma.f64 1/2 (.f64 -1/9 (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 z z)) (pow.f64 (+.f64 (cos.f64 y) 1) 2)) (/.f64 (cos.f64 y) (/.f64 (+.f64 (cos.f64 y) 1) (.f64 z z))))) (/.f64 (.f64 1/18 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 z z))) (pow.f64 (+.f64 (cos.f64 y) 1) 2))) (.f64 (.f64 t t) (+.f64 (cos.f64 y) 1)) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 (.f64 t z) (sin.f64 y)))))
(fma.f64 (fma.f64 1/18 (.f64 (/.f64 (.f64 z z) (pow.f64 (+.f64 (cos.f64 y) 1) 2)) (pow.f64 (sin.f64 y) 2)) (.f64 -1/18 (+.f64 (.f64 (/.f64 (.f64 z z) (pow.f64 (+.f64 (cos.f64 y) 1) 2)) (pow.f64 (sin.f64 y) 2)) (/.f64 (cos.f64 y) (/.f64 (+.f64 (cos.f64 y) 1) (.f64 z z)))))) (.f64 t (.f64 t (+.f64 (cos.f64 y) 1))) (fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (cos.f64 y)))
(fma.f64 (+.f64 (.f64 (/.f64 z (/.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2) (.f64 z (pow.f64 (sin.f64 y) 2)))) 0) (.f64 (/.f64 (.f64 (cos.f64 y) (.f64 z z)) (+.f64 (cos.f64 y) 1)) -1/18)) (.f64 t (+.f64 (.f64 (cos.f64 y) t) t)) (fma.f64 1/3 (.f64 z (*.f64 t (sin.f64 y))) (cos.f64 y)))
(+.f64 (.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 -1/9 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (+.f64 1 (cos.f64 y)) 2))) (.f64 -1/9 (/.f64 (.f64 (cos.f64 y) (pow.f64 z 2)) (+.f64 1 (cos.f64 y)))))) (.f64 1/18 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (+.f64 1 (cos.f64 y)) 2)))) (.f64 (pow.f64 t 2) (+.f64 1 (cos.f64 y)))) (+.f64 (cos.f64 y) (+.f64 (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 (+.f64 (.f64 1/6 (/.f64 (.f64 (+.f64 (.f64 -1/9 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (+.f64 1 (cos.f64 y)) 2))) (.f64 -1/9 (/.f64 (.f64 (cos.f64 y) (pow.f64 z 2)) (+.f64 1 (cos.f64 y))))) (.f64 z (sin.f64 y))) (+.f64 1 (cos.f64 y)))) (+.f64 (.f64 1/6 (+.f64 (.f64 1/9 (/.f64 (.f64 (pow.f64 z 3) (.f64 (cos.f64 y) (sin.f64 y))) (pow.f64 (+.f64 1 (cos.f64 y)) 2))) (+.f64 (.f64 2/27 (/.f64 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (pow.f64 (+.f64 1 (cos.f64 y)) 3))) (.f64 -1/27 (/.f64 (.f64 (pow.f64 z 3) (sin.f64 y)) (+.f64 1 (cos.f64 y))))))) (.f64 1/162 (/.f64 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (pow.f64 (+.f64 1 (cos.f64 y)) 3))))) (*.f64 (pow.f64 t 3) (+.f64 1 (cos.f64 y)))))))
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(+.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 -2 (.f64 y (.f64 (sin.f64 (.f64 (.f64 -1/3 t) z)) (sqrt.f64 x)))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 2 (cos.f64 (.f64 z (.f64 t -1/3)))) (.f64 (.f64 y (sin.f64 (.f64 z (.f64 t -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 2 (.f64 (.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 -1 (/.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (+.f64 1 (cos.f64 (.f64 -1/3 (.f64 t z)))))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) 2) (pow.f64 (+.f64 1 (cos.f64 (.f64 -1/3 (.f64 t z)))) 2))))) (.f64 1/2 (/.f64 (pow.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) 2) (pow.f64 (+.f64 1 (cos.f64 (.f64 -1/3 (.f64 t z)))) 2)))) (.f64 (pow.f64 y 2) (+.f64 1 (cos.f64 (.f64 -1/3 (.f64 t z)))))) (sqrt.f64 x))) (+.f64 (.f64 2 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (sqrt.f64 x))) (.f64 -2 (.f64 (.f64 y (sin.f64 (.f64 -1/3 (*.f64 t z)))) (sqrt.f64 x)))))
(fma.f64 2 (.f64 (.f64 1/2 (+.f64 (.f64 -1 (+.f64 (/.f64 (cos.f64 (.f64 (.f64 -1/3 t) z)) (+.f64 1 (cos.f64 (.f64 (.f64 -1/3 t) z)))) (/.f64 (pow.f64 (sin.f64 (.f64 (.f64 -1/3 t) z)) 2) (pow.f64 (+.f64 1 (cos.f64 (.f64 (.f64 -1/3 t) z))) 2)))) (/.f64 (pow.f64 (sin.f64 (.f64 (.f64 -1/3 t) z)) 2) (pow.f64 (+.f64 1 (cos.f64 (.f64 (.f64 -1/3 t) z))) 2)))) (.f64 (.f64 (+.f64 1 (cos.f64 (.f64 (.f64 -1/3 t) z))) (.f64 y y)) (sqrt.f64 x))) (fma.f64 2 (.f64 (cos.f64 (.f64 (.f64 -1/3 t) z)) (sqrt.f64 x)) (.f64 -2 (.f64 y (.f64 (sin.f64 (.f64 (.f64 -1/3 t) z)) (sqrt.f64 x))))))
(fma.f64 2 (.f64 1/2 (.f64 (fma.f64 -1 (+.f64 (/.f64 (cos.f64 (.f64 z (.f64 t -1/3))) (+.f64 1 (cos.f64 (.f64 z (.f64 t -1/3))))) (.f64 (tan.f64 (/.f64 (.f64 t z) -6)) (tan.f64 (/.f64 (.f64 t z) -6)))) (.f64 (tan.f64 (/.f64 (.f64 t z) -6)) (tan.f64 (/.f64 (.f64 t z) -6)))) (.f64 (+.f64 1 (cos.f64 (.f64 z (.f64 t -1/3)))) (.f64 (.f64 y y) (sqrt.f64 x))))) (.f64 (sqrt.f64 x) (+.f64 (.f64 2 (cos.f64 (.f64 z (.f64 t -1/3)))) (.f64 (.f64 y (sin.f64 (.f64 z (*.f64 t -1/3)))) -2))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 2 (fma.f64 (+.f64 (/.f64 -1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 t (.f64 z -1/3)))) (cos.f64 (.f64 t (.f64 z -1/3))))) (.f64 (.f64 (tan.f64 (.f64 -1/6 (.f64 t z))) (tan.f64 (.f64 -1/6 (.f64 t z)))) 0)) (.f64 y (+.f64 (.f64 (cos.f64 (.f64 t (.f64 z -1/3))) y) y)) (cos.f64 (.f64 t (.f64 z -1/3))))) (.f64 (.f64 -2 y) (sin.f64 (.f64 t (.f64 z -1/3))))))
(+.f64 (.f64 2 (.f64 (.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 -1 (/.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (+.f64 1 (cos.f64 (.f64 -1/3 (.f64 t z)))))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) 2) (pow.f64 (+.f64 1 (cos.f64 (.f64 -1/3 (.f64 t z)))) 2))))) (.f64 1/2 (/.f64 (pow.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) 2) (pow.f64 (+.f64 1 (cos.f64 (.f64 -1/3 (.f64 t z)))) 2)))) (.f64 (pow.f64 y 2) (+.f64 1 (cos.f64 (.f64 -1/3 (.f64 t z)))))) (sqrt.f64 x))) (+.f64 (.f64 2 (.f64 (.f64 (pow.f64 y 3) (.f64 (+.f64 1 (cos.f64 (.f64 -1/3 (.f64 t z)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (+.f64 1 (cos.f64 (.f64 -1/3 (.f64 t z)))))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) 2) (pow.f64 (+.f64 1 (cos.f64 (.f64 -1/3 (.f64 t z)))) 2)))) (sin.f64 (.f64 -1/3 (.f64 t z)))) (+.f64 1 (cos.f64 (.f64 -1/3 (.f64 t z)))))) (+.f64 (.f64 1/6 (+.f64 (/.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) (+.f64 1 (cos.f64 (.f64 -1/3 (.f64 t z))))) (+.f64 (.f64 -2 (/.f64 (pow.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) 3) (pow.f64 (+.f64 1 (cos.f64 (.f64 -1/3 (.f64 t z)))) 3))) (.f64 -3 (/.f64 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (sin.f64 (.f64 -1/3 (.f64 t z)))) (pow.f64 (+.f64 1 (cos.f64 (.f64 -1/3 (.f64 t z)))) 2)))))) (.f64 -1/6 (/.f64 (pow.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) 3) (pow.f64 (+.f64 1 (cos.f64 (.f64 -1/3 (.f64 t z)))) 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 (.f64 1/2 (+.f64 (.f64 -1 (+.f64 (/.f64 (cos.f64 (.f64 (.f64 -1/3 t) z)) (+.f64 1 (cos.f64 (.f64 (.f64 -1/3 t) z)))) (/.f64 (pow.f64 (sin.f64 (.f64 (.f64 -1/3 t) z)) 2) (pow.f64 (+.f64 1 (cos.f64 (.f64 (.f64 -1/3 t) z))) 2)))) (/.f64 (pow.f64 (sin.f64 (.f64 (.f64 -1/3 t) z)) 2) (pow.f64 (+.f64 1 (cos.f64 (.f64 (.f64 -1/3 t) z))) 2)))) (.f64 (.f64 (+.f64 1 (cos.f64 (.f64 (.f64 -1/3 t) z))) (.f64 y y)) (sqrt.f64 x))) (fma.f64 2 (.f64 (.f64 (.f64 (pow.f64 y 3) (+.f64 1 (cos.f64 (.f64 (.f64 -1/3 t) z)))) (fma.f64 -1/2 (/.f64 (.f64 -1 (+.f64 (/.f64 (cos.f64 (.f64 (.f64 -1/3 t) z)) (+.f64 1 (cos.f64 (.f64 (.f64 -1/3 t) z)))) (/.f64 (pow.f64 (sin.f64 (.f64 (.f64 -1/3 t) z)) 2) (pow.f64 (+.f64 1 (cos.f64 (.f64 (.f64 -1/3 t) z))) 2)))) (/.f64 (+.f64 1 (cos.f64 (.f64 (.f64 -1/3 t) z))) (sin.f64 (.f64 (.f64 -1/3 t) z)))) (fma.f64 1/6 (+.f64 (tan.f64 (/.f64 (.f64 (.f64 -1/3 t) z) 2)) (fma.f64 -2 (/.f64 (pow.f64 (sin.f64 (.f64 (.f64 -1/3 t) z)) 3) (pow.f64 (+.f64 1 (cos.f64 (.f64 (.f64 -1/3 t) z))) 3)) (.f64 -3 (/.f64 (cos.f64 (.f64 (.f64 -1/3 t) z)) (/.f64 (pow.f64 (+.f64 1 (cos.f64 (.f64 (.f64 -1/3 t) z))) 2) (sin.f64 (.f64 (.f64 -1/3 t) z))))))) (.f64 (/.f64 (pow.f64 (sin.f64 (.f64 (.f64 -1/3 t) z)) 3) (pow.f64 (+.f64 1 (cos.f64 (.f64 (.f64 -1/3 t) z))) 3)) -1/6)))) (sqrt.f64 x)) (fma.f64 2 (.f64 (cos.f64 (.f64 (.f64 -1/3 t) z)) (sqrt.f64 x)) (.f64 -2 (.f64 y (.f64 (sin.f64 (.f64 (.f64 -1/3 t) z)) (sqrt.f64 x)))))))
(+.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 2 (cos.f64 (.f64 z (.f64 t -1/3)))) (.f64 (.f64 y (sin.f64 (.f64 z (.f64 t -1/3)))) -2))) (.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 2 (.f64 1/2 (fma.f64 -1 (+.f64 (/.f64 (cos.f64 (.f64 z (.f64 t -1/3))) (+.f64 1 (cos.f64 (.f64 z (.f64 t -1/3))))) (.f64 (tan.f64 (/.f64 (.f64 t z) -6)) (tan.f64 (/.f64 (.f64 t z) -6)))) (.f64 (tan.f64 (/.f64 (.f64 t z) -6)) (tan.f64 (/.f64 (.f64 t z) -6)))))) (.f64 y (.f64 y (+.f64 1 (cos.f64 (.f64 z (.f64 t -1/3))))))) (.f64 2 (.f64 (pow.f64 y 3) (.f64 (+.f64 1 (cos.f64 (.f64 z (.f64 t -1/3)))) (fma.f64 -1/2 (.f64 (/.f64 (-.f64 (/.f64 (neg.f64 (cos.f64 (.f64 z (.f64 t -1/3)))) (+.f64 1 (cos.f64 (.f64 z (.f64 t -1/3))))) (.f64 (tan.f64 (/.f64 (.f64 t z) -6)) (tan.f64 (/.f64 (.f64 t z) -6)))) (+.f64 1 (cos.f64 (.f64 z (.f64 t -1/3))))) (sin.f64 (.f64 z (.f64 t -1/3)))) (fma.f64 1/6 (+.f64 (tan.f64 (/.f64 (.f64 t z) -6)) (fma.f64 -2 (/.f64 (pow.f64 (sin.f64 (.f64 z (.f64 t -1/3))) 3) (pow.f64 (+.f64 1 (cos.f64 (.f64 z (.f64 t -1/3)))) 3)) (.f64 -3 (.f64 (/.f64 (cos.f64 (.f64 z (.f64 t -1/3))) (+.f64 1 (cos.f64 (.f64 z (.f64 t -1/3))))) (tan.f64 (/.f64 (.f64 t z) -6)))))) (.f64 (/.f64 (pow.f64 (sin.f64 (.f64 z (.f64 t -1/3))) 3) (pow.f64 (+.f64 1 (cos.f64 (.f64 z (.f64 t -1/3)))) 3)) -1/6)))))))))
(.f64 (sqrt.f64 x) (+.f64 (+.f64 (.f64 (.f64 -2 y) (sin.f64 (.f64 t (.f64 z -1/3)))) (.f64 2 (cos.f64 (.f64 t (.f64 z -1/3))))) (.f64 2 (.f64 (+.f64 1 (cos.f64 (.f64 t (.f64 z -1/3)))) (+.f64 (.f64 (fma.f64 -1/2 (.f64 (tan.f64 (.f64 -1/6 (.f64 t z))) (-.f64 (/.f64 (neg.f64 (cos.f64 (.f64 t (.f64 z -1/3)))) (+.f64 1 (cos.f64 (.f64 t (.f64 z -1/3))))) (.f64 (tan.f64 (.f64 -1/6 (.f64 t z))) (tan.f64 (.f64 -1/6 (.f64 t z)))))) (fma.f64 1/6 (+.f64 (tan.f64 (.f64 -1/6 (.f64 t z))) (fma.f64 -3 (/.f64 (.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (tan.f64 (.f64 -1/6 (.f64 t z)))) (+.f64 1 (cos.f64 (.f64 t (.f64 z -1/3))))) (.f64 -2 (pow.f64 (tan.f64 (.f64 -1/6 (.f64 t z))) 3)))) (.f64 (pow.f64 (tan.f64 (.f64 -1/6 (.f64 t z))) 3) -1/6))) (pow.f64 y 3)) (.f64 (+.f64 (/.f64 -1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 t (.f64 z -1/3)))) (cos.f64 (.f64 t (.f64 z -1/3))))) (.f64 (.f64 (tan.f64 (.f64 -1/6 (.f64 t z))) (tan.f64 (.f64 -1/6 (.f64 t z)))) 0)) (.f64 y y)))))))
(.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)))

eval695.0ms (3.1%)

Compiler: Compiled 28622 to 18207 computations (36.4% saved)

prune325.0ms (1.4%)

Pruning

76 alts after pruning (75 fresh and 1 done)

	Pruned	Kept	Total
New	841	58	899
Fresh	30	17	47
Picked	1	0	1
Done	3	1	4
Total	875	76	951

Error

15.4b

Counts

951 → 76

Alt Table

Click to see full alt table

Status	Error	Program
	21.9b	(-.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)))
	29.9b	(fma.f64 2 (.f64 (cos.f64 (.f64 z (.f64 t -1/3))) (sqrt.f64 x)) (.f64 a (/.f64 -1/3 b)))
	43.1b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 z (.f64 2/3 (.f64 t y))) (.f64 (cos.f64 (.f64 t (.f64 1/3 z))) (-.f64 2 (.f64 y y))))) (/.f64 a (*.f64 b 3)))
	29.9b	(-.f64 (.f64 2 (.f64 (cos.f64 (.f64 z (.f64 t -1/3))) (sqrt.f64 x))) (/.f64 a (*.f64 b 3)))
✓	18.3b	(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (/.f64 a (*.f64 b 3)))
	18.4b	(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))
	18.4b	(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (*.f64 (/.f64 1 b) (/.f64 a 3)))
	49.0b	(-.f64 (.f64 y (.f64 (.f64 (sqrt.f64 x) (neg.f64 y)) (cos.f64 (.f64 z (.f64 1/3 t))))) (/.f64 a (.f64 b 3)))
	30.3b	(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 (.f64 (.f64 t z) 1/3)) 2))) (/.f64 a (*.f64 b 3)))
	30.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (expm1.f64 (cos.f64 (.f64 (.f64 t z) 1/3))))) (/.f64 a (*.f64 b 3)))
	21.9b	(-.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)))
	29.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (.f64 z (.f64 t -1/3)))))) (/.f64 a (*.f64 b 3)))
	38.1b	(-.f64 (.f64 (sqrt.f64 x) (fma.f64 (pow.f64 (.f64 t z) 2) -1/9 2)) (/.f64 a (*.f64 b 3)))
	22.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (exp.f64 (+.f64 (.f64 1/3 (/.f64 (.f64 t (.f64 z (sin.f64 y))) (+.f64 1 (cos.f64 y)))) (log.f64 (+.f64 1 (cos.f64 y))))) 1)) (/.f64 a (.f64 b 3)))
▶	35.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (exp.f64 (-.f64 (log1p.f64 (cos.f64 (.f64 t (.f64 z -1/3)))) (.f64 (tan.f64 (.f64 -1/6 (.f64 t z))) y))) 1)) (/.f64 a (.f64 b 3)))
	37.9b	(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (exp.f64 (log.f64 (*.f64 a (/.f64 1/3 b)))))
	30.2b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 (.f64 t z) 1/3)) (.f64 2 (sqrt.f64 x)))) 3) (/.f64 a (*.f64 b 3)))
	27.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (exp.f64 (sqrt.f64 (pow.f64 (log1p.f64 (cos.f64 (fma.f64 t (.f64 z -1/3) y))) 2))) 1)) (/.f64 a (.f64 b 3)))
	37.6b	(-.f64 (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (cos.f64 (fma.f64 t (.f64 z -1/3) y)) (.f64 2 (sqrt.f64 x))))) 1/3)) (/.f64 a (.f64 b 3)))
	38.2b	(-.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 (.f64 (.f64 t z) 1/3)) (.f64 2 (sqrt.f64 x))) 3) 1/3) (/.f64 a (*.f64 b 3)))
	26.4b	(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
	22.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 (fma.f64 t (.f64 z -1/3) y)))) 3)) 1)) (/.f64 a (.f64 b 3)))
	42.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (log.f64 (+.f64 1 (expm1.f64 (.f64 1/3 z))))))) (/.f64 a (*.f64 b 3)))
	21.7b	(-.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)))
	22.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (exp.f64 (log1p.f64 (-.f64 (.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (cos.f64 y)) (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (sin.f64 y))))) 1)) (/.f64 a (*.f64 b 3)))
	40.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 t (.f64 z -1/3) y)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 t (.f64 z -1/3) y)))) (sin.f64 1)))) (/.f64 a (*.f64 b 3)))
	31.0b	(-.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))))) 1) (/.f64 a (*.f64 b 3)))
	21.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 z (/.f64 1 (/.f64 3 t)))))) (/.f64 a (.f64 b 3)))
	19.0b	(.f64 (cbrt.f64 (-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 a (/.f64 1/3 b)))) (pow.f64 (cbrt.f64 (-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 a (/.f64 1/3 b)))) 2))
	21.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))) (cbrt.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))))) (cbrt.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))))) (/.f64 a (.f64 b 3)))
	21.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 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)))))) (/.f64 a (*.f64 b 3)))
	54.0b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (exp.f64 (log.f64 (.f64 t -1/3))) y))) (*.f64 a (/.f64 -1/3 b)))
	18.4b	(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (log1p.f64 (expm1.f64 (cos.f64 y))))) (/.f64 a (*.f64 b 3)))
	18.6b	(fma.f64 (.f64 (.f64 2 (cos.f64 y)) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (*.f64 a (neg.f64 (/.f64 1/3 b))))
	21.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 3)))) (/.f64 a (*.f64 b 3)))
	21.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 (sin.f64 (.f64 z (.f64 t 1/3))) (sin.f64 y) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))))) (/.f64 a (.f64 b 3)))
	61.1b	(log.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 a (/.f64 1/3 b)))))
	30.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (expm1.f64 (log1p.f64 (cos.f64 (.f64 (.f64 t z) 1/3))))) (/.f64 a (*.f64 b 3)))
	18.6b	(-.f64 (pow.f64 (cbrt.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))) 3) (/.f64 a (*.f64 b 3)))
	37.0b	(fma.f64 2 (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (sqrt.f64 x)))) 1/3)) (*.f64 a (/.f64 -1/3 b)))
	30.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (pow.f64 (cbrt.f64 (.f64 1/3 z)) 3)))) (/.f64 a (*.f64 b 3)))
	30.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 (.f64 (.f64 t z) 1/3)) 3))) (/.f64 a (*.f64 b 3)))
	30.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 (.f64 t z) 1/3)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 (.f64 t z) 1/3))))))) (/.f64 a (*.f64 b 3)))
	22.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (+.f64 (cos.f64 (fma.f64 t (.f64 z -1/3) y)) 1) -1)) (/.f64 a (.f64 b 3)))
	40.3b	(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 a (*.f64 b 3)))
	18.8b	(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 y))))))) (/.f64 a (*.f64 b 3)))
	49.6b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 z (.f64 2/3 (.f64 t y))) (.f64 (+.f64 1 (.f64 -1/18 (.f64 t (.f64 t (.f64 z z))))) (-.f64 2 (.f64 y y))))) (/.f64 a (*.f64 b 3)))
	35.5b	(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 y))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 y))) (sin.f64 1))))) (/.f64 a (*.f64 b 3)))
	39.2b	(cbrt.f64 (pow.f64 (-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 a (/.f64 1/3 b))) 3))
▶	34.6b	(*.f64 -1/3 (/.f64 a b))
	30.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (.f64 1/3 z)))) (*.f64 (/.f64 a b) 1/3))
	46.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (pow.f64 (pow.f64 (.f64 1/3 z) 3) 1/3)))) (/.f64 a (*.f64 b 3)))
	35.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 (.f64 t z) 1/3)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 (.f64 t z) 1/3)))) (sin.f64 1)))) (/.f64 a (*.f64 b 3)))
▶	18.4b	(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cbrt.f64 (pow.f64 (cos.f64 y) 3)))) (/.f64 a (*.f64 b 3)))
	18.8b	(fma.f64 (.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (.f64 2 (cos.f64 y))) 2)) (cbrt.f64 (.f64 2 (cos.f64 y))) (.f64 a (neg.f64 (/.f64 1/3 b))))
▶	24.7b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (cos.f64 y) 2) (.f64 (.f64 z (.f64 t (sin.f64 y))) 2/3))) (/.f64 a (.f64 b 3)))
	28.8b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (sqrt.f64 (.f64 (.f64 t t) 1/9)) y))) (.f64 a (/.f64 -1/3 b)))
	27.4b	(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 (fma.f64 t (.f64 z -1/3) y)) 2))) (/.f64 a (.f64 b 3)))
	35.1b	(-.f64 (pow.f64 (pow.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) 3) 1/3) (/.f64 a (*.f64 b 3)))
	30.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (.f64 (.f64 t z) 1/3))))) (/.f64 a (*.f64 b 3)))
	43.2b	(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y (-.f64 y (.f64 z (.f64 t 2/3)))))) (/.f64 a (*.f64 b 3)))
	36.2b	(-.f64 (exp.f64 (log.f64 (.f64 (cos.f64 (.f64 (.f64 t z) 1/3)) (.f64 2 (sqrt.f64 x))))) (/.f64 a (*.f64 b 3)))
	30.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (.f64 (.f64 t z) 1/3)) 2))) (/.f64 a (*.f64 b 3)))
	22.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 a (/.f64 1/3 b)))
	30.1b	(-.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (sqrt.f64 x))) (/.f64 a (*.f64 b 3)))
	21.8b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (pow.f64 (cbrt.f64 (.f64 t -1/3)) 3) y))) (*.f64 a (/.f64 -1/3 b)))
	23.6b	(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (sqrt.f64 (pow.f64 (cos.f64 y) 2)))) (/.f64 a (*.f64 b 3)))
▶	21.8b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (.f64 a (.f64 1/3 (/.f64 1 (neg.f64 b)))))
	27.3b	(-.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)))
	23.8b	(-.f64 (sqrt.f64 (.f64 x (.f64 (pow.f64 (cos.f64 y) 2) 4))) (/.f64 a (*.f64 b 3)))
	30.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 (.f64 t z) 1/3))) 3)) (/.f64 a (*.f64 b 3)))
	28.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (cbrt.f64 (pow.f64 (.f64 z (.f64 t 1/3)) 3))))) (/.f64 a (*.f64 b 3)))
	46.5b	(-.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 (.f64 (.f64 t z) 1/3)) (.f64 2 (sqrt.f64 x)))))) (/.f64 a (*.f64 b 3)))
	31.6b	(-.f64 (exp.f64 (log.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))))) (/.f64 a (*.f64 b 3)))
	26.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (exp.f64 (fma.f64 1/3 (.f64 (/.f64 t (+.f64 (cos.f64 y) 1)) (.f64 z (sin.f64 y))) (fma.f64 (.f64 -1/18 (.f64 (/.f64 (.f64 t t) (+.f64 (cos.f64 y) 1)) (+.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (+.f64 (cos.f64 y) 1)) (cos.f64 y)))) (.f64 z z) (log1p.f64 (cos.f64 y))))) 1)) (/.f64 a (*.f64 b 3)))
	49.3b	(-.f64 (.f64 (sqrt.f64 x) (.f64 y (-.f64 (.f64 (sin.f64 (.f64 z (.f64 1/3 t))) 2) (.f64 y (cos.f64 (.f64 z (.f64 1/3 t))))))) (/.f64 a (*.f64 b 3)))

Compiler

Compiled 4287 to 3311 computations (22.8% saved)

localize35.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(/.f64 a (*.f64 b 3))
	0.2b	(.f64 (sqrt.f64 x) (.f64 2 (cbrt.f64 (pow.f64 (cos.f64 y) 3))))
	0.0b	(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cbrt.f64 (pow.f64 (cos.f64 y) 3)))) (/.f64 a (*.f64 b 3)))
	0.0b	(cos.f64 y)
✓	0.2b	(.f64 (sqrt.f64 x) (.f64 2 (cbrt.f64 (pow.f64 (cos.f64 y) 3))))
	0.2b	(/.f64 a (*.f64 b 3))
✓	0.3b	(cbrt.f64 (pow.f64 (cos.f64 y) 3))
✓	0.4b	(pow.f64 (cos.f64 y) 3)

Compiler

Compiled 66 to 41 computations (37.9% saved)

series5.0ms (0%)

Counts

3 → 28

Calls

12 calls:

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

rewrite73.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

874×	`pow1_binary64`
814×	`add-log-exp_binary64`
813×	`log1p-expm1-u_binary64`
813×	`expm1-log1p-u_binary64`
794×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	228	20
2	2319	20

Stop Event

1×	node limit

Counts

3 → 52

Calls

Call 1

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

Outputs

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

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

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

simplify40.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	312
1	119	295
2	319	269
3	1047	267
4	4175	267

Stop Event

1×	node limit

Counts

80 → 74

Calls

Call 1

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

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

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 17 to 10 computations (41.2% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite52.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

20 → 20

Calls

Call 1

Inputs

Outputs

localize41.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(*.f64 t (sin.f64 y))
	0.0b	(cos.f64 y)
	0.0b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (cos.f64 y) 2) (.f64 (.f64 z (.f64 t (sin.f64 y))) 2/3))) (/.f64 a (.f64 b 3)))
	0.0b	(+.f64 (.f64 (cos.f64 y) 2) (.f64 (.f64 z (.f64 t (sin.f64 y))) 2/3))
	0.2b	(/.f64 a (*.f64 b 3))
✓	0.3b	(.f64 (.f64 z (*.f64 t (sin.f64 y))) 2/3)
✓	2.0b	(.f64 (sqrt.f64 x) (+.f64 (.f64 (cos.f64 y) 2) (.f64 (.f64 z (*.f64 t (sin.f64 y))) 2/3)))
✓	3.6b	(.f64 z (.f64 t (sin.f64 y)))

Compiler

Compiled 102 to 44 computations (56.9% saved)

series22.0ms (0.1%)

Counts

3 → 108

Calls

30 calls:

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

rewrite89.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

877×	`log-prod_binary64`
435×	`fma-def_binary64`
299×	`expm1-udef_binary64`
299×	`log1p-udef_binary64`
277×	`pow3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	44
1	338	44
2	4415	44

Stop Event

1×	node limit

Counts

3 → 103

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 x) (*.f64 (cos.f64 y) 2)) (*.f64 z (*.f64 (*.f64 t (*.f64 (sin.f64 y) 2/3)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (*.f64 (*.f64 t (*.f64 (sin.f64 y) 2/3)) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (*.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 x) (fma.f64 z (*.f64 t (*.f64 (sin.f64 y) 2/3)) (*.f64 (cos.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 x) (*.f64 (cos.f64 y) 2)) 1) (*.f64 (*.f64 z (*.f64 (*.f64 t (*.f64 (sin.f64 y) 2/3)) (sqrt.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 z (*.f64 t (*.f64 (sin.f64 y) 2/3)) (*.f64 (cos.f64 y) 2))) (sqrt.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 z (*.f64 t (*.f64 (sin.f64 y) 2/3)) (*.f64 (cos.f64 y) 2))) (sqrt.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 z (*.f64 t (*.f64 (sin.f64 y) 2/3)) (*.f64 (cos.f64 y) 2))) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 z (*.f64 t (*.f64 (sin.f64 y) 2/3)) (*.f64 (cos.f64 y) 2))) (sqrt.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 z (*.f64 t (*.f64 (sin.f64 y) 2/3)) (*.f64 (cos.f64 y) 2))) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 x) (fma.f64 z (*.f64 t (*.f64 (sin.f64 y) 2/3)) (*.f64 (cos.f64 y) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 (cos.f64 y) 2)) 3) (pow.f64 (*.f64 z (*.f64 (*.f64 t (*.f64 (sin.f64 y) 2/3)) (sqrt.f64 x))) 3)) (fma.f64 (*.f64 (sqrt.f64 x) (*.f64 (cos.f64 y) 2)) (*.f64 (sqrt.f64 x) (*.f64 (cos.f64 y) 2)) (-.f64 (*.f64 (*.f64 z (*.f64 (*.f64 t (*.f64 (sin.f64 y) 2/3)) (sqrt.f64 x))) (*.f64 z (*.f64 (*.f64 t (*.f64 (sin.f64 y) 2/3)) (sqrt.f64 x)))) (*.f64 (*.f64 (sqrt.f64 x) (*.f64 (cos.f64 y) 2)) (*.f64 z (*.f64 (*.f64 t (*.f64 (sin.f64 y) 2/3)) (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 x) (*.f64 (cos.f64 y) 2)) (*.f64 (sqrt.f64 x) (*.f64 (cos.f64 y) 2))) (*.f64 (*.f64 z (*.f64 (*.f64 t (*.f64 (sin.f64 y) 2/3)) (sqrt.f64 x))) (*.f64 z (*.f64 (*.f64 t (*.f64 (sin.f64 y) 2/3)) (sqrt.f64 x))))) (-.f64 (*.f64 (sqrt.f64 x) (*.f64 (cos.f64 y) 2)) (*.f64 z (*.f64 (*.f64 t (*.f64 (sin.f64 y) 2/3)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 8/27 (pow.f64 (*.f64 (sin.f64 y) (*.f64 z t)) 3) (*.f64 8 (pow.f64 (cos.f64 y) 3))) (sqrt.f64 x)) (fma.f64 (*.f64 z (*.f64 t (*.f64 (sin.f64 y) 2/3))) (fma.f64 z (*.f64 t (*.f64 (sin.f64 y) 2/3)) (neg.f64 (*.f64 (cos.f64 y) 2))) (pow.f64 (*.f64 (cos.f64 y) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) 2) 2) (*.f64 4/9 (pow.f64 (*.f64 (sin.f64 y) (*.f64 z t)) 2))) (sqrt.f64 x)) (fma.f64 (cos.f64 y) 2 (*.f64 -2/3 (*.f64 (sin.f64 y) (*.f64 z t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 x) (fma.f64 8/27 (pow.f64 (*.f64 (sin.f64 y) (*.f64 z t)) 3) (*.f64 8 (pow.f64 (cos.f64 y) 3)))) (fma.f64 (*.f64 z (*.f64 t (*.f64 (sin.f64 y) 2/3))) (fma.f64 z (*.f64 t (*.f64 (sin.f64 y) 2/3)) (neg.f64 (*.f64 (cos.f64 y) 2))) (pow.f64 (*.f64 (cos.f64 y) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 x) (-.f64 (pow.f64 (*.f64 (cos.f64 y) 2) 2) (*.f64 4/9 (pow.f64 (*.f64 (sin.f64 y) (*.f64 z t)) 2)))) (fma.f64 (cos.f64 y) 2 (*.f64 -2/3 (*.f64 (sin.f64 y) (*.f64 z t)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 x) (fma.f64 z (*.f64 t (*.f64 (sin.f64 y) 2/3)) (*.f64 (cos.f64 y) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 x) (fma.f64 z (*.f64 t (*.f64 (sin.f64 y) 2/3)) (*.f64 (cos.f64 y) 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (fma.f64 z (*.f64 t (*.f64 (sin.f64 y) 2/3)) (*.f64 (cos.f64 y) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (fma.f64 z (*.f64 t (*.f64 (sin.f64 y) 2/3)) (*.f64 (cos.f64 y) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (pow.f64 (fma.f64 z (*.f64 t (*.f64 (sin.f64 y) 2/3)) (*.f64 (cos.f64 y) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 z (*.f64 t (*.f64 (sin.f64 y) 2/3)) (*.f64 (cos.f64 y) 2))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 x) (fma.f64 z (*.f64 t (*.f64 (sin.f64 y) 2/3)) (*.f64 (cos.f64 y) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 z (*.f64 (*.f64 t (*.f64 (sin.f64 y) 2/3)) (sqrt.f64 x)))) (exp.f64 (*.f64 (sqrt.f64 x) (*.f64 (cos.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) (fma.f64 z (*.f64 t (*.f64 (sin.f64 y) 2/3)) (*.f64 (cos.f64 y) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 (fma.f64 z (*.f64 t (*.f64 (sin.f64 y) 2/3)) (*.f64 (cos.f64 y) 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 z (*.f64 t (*.f64 (sin.f64 y) 2/3)) (*.f64 (cos.f64 y) 2)) 3) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 x) (fma.f64 z (*.f64 t (*.f64 (sin.f64 y) 2/3)) (*.f64 (cos.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 x) (fma.f64 z (*.f64 t (*.f64 (sin.f64 y) 2/3)) (*.f64 (cos.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 x) (fma.f64 z (*.f64 t (*.f64 (sin.f64 y) 2/3)) (*.f64 (cos.f64 y) 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (*.f64 (*.f64 t (*.f64 (sin.f64 y) 2/3)) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 y) (*.f64 z t)) (*.f64 2/3 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (cos.f64 y) 2) (*.f64 z (*.f64 (*.f64 t (*.f64 (sin.f64 y) 2/3)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 z (*.f64 t (*.f64 (sin.f64 y) 2/3))) (*.f64 (sqrt.f64 x) (*.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 y) (*.f64 2 (sqrt.f64 x)) (*.f64 z (*.f64 (*.f64 t (*.f64 (sin.f64 y) 2/3)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 z (*.f64 (*.f64 t (*.f64 (sin.f64 y) 2/3)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 y) 2) (sqrt.f64 x) (*.f64 z (*.f64 (*.f64 t (*.f64 (sin.f64 y) 2/3)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/3 (*.f64 (*.f64 (sin.f64 y) (*.f64 z t)) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 (cos.f64 y) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 z (*.f64 t (*.f64 (sin.f64 y) 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (*.f64 (sin.f64 y) (*.f64 z t)))) (cbrt.f64 (pow.f64 (exp.f64 2/3) (*.f64 (sin.f64 y) (*.f64 z t)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (*.f64 (sin.f64 y) (*.f64 z t))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) (*.f64 (sin.f64 y) (*.f64 z t))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) (*.f64 (sin.f64 y) (*.f64 z t))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (*.f64 t (*.f64 (sin.f64 y) 2/3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (*.f64 t (*.f64 (sin.f64 y) 2/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (*.f64 t (*.f64 (sin.f64 y) 2/3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (*.f64 t (*.f64 (sin.f64 y) 2/3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 8/27 (pow.f64 (*.f64 (sin.f64 y) (*.f64 z t)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4/9 (pow.f64 (*.f64 (sin.f64 y) (*.f64 z t)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2/3) (*.f64 (sin.f64 y) (*.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (*.f64 t (*.f64 (sin.f64 y) 2/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 8/27 (pow.f64 (*.f64 (sin.f64 y) (*.f64 z t)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (*.f64 t (*.f64 (sin.f64 y) 2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (*.f64 t (*.f64 (sin.f64 y) 2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (*.f64 t (*.f64 (sin.f64 y) 2/3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (*.f64 t (*.f64 (sin.f64 y) 2/3)))))))))

simplify112.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

914×	`fma-neg_binary64`
777×	`cancel-sign-sub-inv_binary64`
605×	`fma-def_binary64`
508×	`associate-l_binary64`
489×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	68	1695
1	194	1655
2	665	1601
3	2977	1595
4	5044	1592

Stop Event

1×	node limit

Counts

211 → 138

Calls

Call 1

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

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

localize45.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.3b	(*.f64 t -1/3)
	0.2b	(.f64 a (.f64 1/3 (/.f64 1 (neg.f64 b))))
	0.1b	(fma.f64 z (*.f64 t -1/3) y)
	0.0b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (.f64 a (.f64 1/3 (/.f64 1 (neg.f64 b)))))
	0.3b	(*.f64 t -1/3)
	0.3b	(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y)))
✓	0.4b	(*.f64 1/3 (/.f64 1 (neg.f64 b)))
	26.0b	(cos.f64 (fma.f64 z (*.f64 t -1/3) y))

Compiler

Compiled 84 to 49 computations (41.7% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite43.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

498×	`pow1_binary64`
487×	`add-sqr-sqrt_binary64`
463×	`add-log-exp_binary64`
463×	`log1p-expm1-u_binary64`
463×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	6
1	142	4
2	1649	4

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

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

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	48

Stop Event

1×

saturated

Counts

28 → 16

Calls

Call 1

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

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

localize116.0ms (0.5%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(exp.f64 (-.f64 (log1p.f64 (cos.f64 (.f64 t (.f64 z -1/3)))) (.f64 (tan.f64 (.f64 -1/6 (*.f64 t z))) y)))
	0.1b	(.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (exp.f64 (-.f64 (log1p.f64 (cos.f64 (.f64 t (.f64 z -1/3)))) (.f64 (tan.f64 (.f64 -1/6 (*.f64 t z))) y))) 1))
	0.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (exp.f64 (-.f64 (log1p.f64 (cos.f64 (.f64 t (.f64 z -1/3)))) (.f64 (tan.f64 (.f64 -1/6 (.f64 t z))) y))) 1)) (/.f64 a (.f64 b 3)))
	0.0b	(-.f64 (log1p.f64 (cos.f64 (.f64 t (.f64 z -1/3)))) (.f64 (tan.f64 (.f64 -1/6 (*.f64 t z))) y))
✓	0.4b	(*.f64 z -1/3)
✓	3.0b	(.f64 (tan.f64 (.f64 -1/6 (*.f64 t z))) y)
✓	29.3b	(tan.f64 (.f64 -1/6 (.f64 t z)))
✓	29.6b	(cos.f64 (.f64 t (.f64 z -1/3)))

Compiler

Compiled 180 to 113 computations (37.2% saved)

series17.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Expression
2.0ms	y	@	(.f64 (tan.f64 (.f64 -1/6 (*.f64 t z))) y)
2.0ms	t	@	(tan.f64 (.f64 -1/6 (.f64 t z)))
2.0ms	z	@	(tan.f64 (.f64 -1/6 (.f64 t z)))
1.0ms	t	@	(.f64 (tan.f64 (.f64 -1/6 (*.f64 t z))) y)
1.0ms	z	@	(.f64 (tan.f64 (.f64 -1/6 (*.f64 t z))) y)

rewrite78.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

664×	`log-prod_binary64`
484×	`prod-diff_binary64`
397×	`pow-prod-down_binary64`
335×	`pow2_binary64`
259×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	34
1	263	34
2	3073	34

Stop Event

1×	node limit

Counts

4 → 86

Calls

Call 1

Inputs
(cos.f64 (.f64 t (.f64 z -1/3)))
(tan.f64 (.f64 -1/6 (.f64 t z)))
(.f64 (tan.f64 (.f64 -1/6 (*.f64 t z))) y)
(*.f64 z -1/3)

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

simplify131.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

405×	`*-commutative_binary64`
354×	`associate--r+_binary64`
352×	`fma-neg_binary64`
326×	`cancel-sign-sub-inv_binary64`
314×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	134	2280
1	399	2261
2	1456	2160
3	4478	2032
4	7992	2032

Stop Event

1×	node limit

Counts

182 → 126

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)))))
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1
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(*.f64 -1/3 z)
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(*.f64 -1/3 z)
(*.f64 -1/3 z)
(*.f64 -1/3 z)
(*.f64 -1/3 z)
(*.f64 -1/3 z)
(*.f64 -1/3 z)
(*.f64 -1/3 z)
(*.f64 -1/3 z)
(*.f64 -1/3 z)

Outputs
1
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(cos.f64 (.f64 -1/3 (.f64 t z)))
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1
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(/.f64 y (/.f64 (cos.f64 (.f64 (.f64 -1/6 z) t)) (sin.f64 (.f64 (.f64 -1/6 z) t))))
(/.f64 (.f64 (sin.f64 (.f64 t (.f64 z -1/6))) y) (cos.f64 (.f64 t (*.f64 z -1/6))))
(.f64 (sin.f64 (.f64 t (.f64 z -1/6))) (/.f64 y (cos.f64 (.f64 t (*.f64 z -1/6)))))
(/.f64 (.f64 y (sin.f64 (.f64 -1/6 (.f64 t z)))) (cos.f64 (.f64 -1/6 (*.f64 t z))))
(/.f64 y (/.f64 (cos.f64 (.f64 (.f64 t z) -1/6)) (sin.f64 (.f64 (.f64 t z) -1/6))))
(/.f64 y (/.f64 (cos.f64 (.f64 (.f64 -1/6 z) t)) (sin.f64 (.f64 (.f64 -1/6 z) t))))
(/.f64 (.f64 (sin.f64 (.f64 t (.f64 z -1/6))) y) (cos.f64 (.f64 t (*.f64 z -1/6))))
(.f64 (sin.f64 (.f64 t (.f64 z -1/6))) (/.f64 y (cos.f64 (.f64 t (*.f64 z -1/6)))))
(/.f64 (.f64 y (sin.f64 (.f64 -1/6 (.f64 t z)))) (cos.f64 (.f64 -1/6 (*.f64 t z))))
(/.f64 y (/.f64 (cos.f64 (.f64 (.f64 t z) -1/6)) (sin.f64 (.f64 (.f64 t z) -1/6))))
(/.f64 y (/.f64 (cos.f64 (.f64 (.f64 -1/6 z) t)) (sin.f64 (.f64 (.f64 -1/6 z) t))))
(/.f64 (.f64 (sin.f64 (.f64 t (.f64 z -1/6))) y) (cos.f64 (.f64 t (*.f64 z -1/6))))
(.f64 (sin.f64 (.f64 t (.f64 z -1/6))) (/.f64 y (cos.f64 (.f64 t (*.f64 z -1/6)))))
(/.f64 (.f64 y (sin.f64 (.f64 -1/6 (.f64 t z)))) (cos.f64 (.f64 -1/6 (*.f64 t z))))
(/.f64 y (/.f64 (cos.f64 (.f64 (.f64 t z) -1/6)) (sin.f64 (.f64 (.f64 t z) -1/6))))
(/.f64 y (/.f64 (cos.f64 (.f64 (.f64 -1/6 z) t)) (sin.f64 (.f64 (.f64 -1/6 z) t))))
(/.f64 (.f64 (sin.f64 (.f64 t (.f64 z -1/6))) y) (cos.f64 (.f64 t (*.f64 z -1/6))))
(.f64 (sin.f64 (.f64 t (.f64 z -1/6))) (/.f64 y (cos.f64 (.f64 t (*.f64 z -1/6)))))
(/.f64 (.f64 y (sin.f64 (.f64 -1/6 (.f64 t z)))) (cos.f64 (.f64 -1/6 (*.f64 t z))))
(/.f64 y (/.f64 (cos.f64 (.f64 (.f64 t z) -1/6)) (sin.f64 (.f64 (.f64 t z) -1/6))))
(/.f64 y (/.f64 (cos.f64 (.f64 (.f64 -1/6 z) t)) (sin.f64 (.f64 (.f64 -1/6 z) t))))
(/.f64 (.f64 (sin.f64 (.f64 t (.f64 z -1/6))) y) (cos.f64 (.f64 t (*.f64 z -1/6))))
(.f64 (sin.f64 (.f64 t (.f64 z -1/6))) (/.f64 y (cos.f64 (.f64 t (*.f64 z -1/6)))))
(/.f64 (.f64 y (sin.f64 (.f64 -1/6 (.f64 t z)))) (cos.f64 (.f64 -1/6 (*.f64 t z))))
(/.f64 y (/.f64 (cos.f64 (.f64 (.f64 t z) -1/6)) (sin.f64 (.f64 (.f64 t z) -1/6))))
(/.f64 y (/.f64 (cos.f64 (.f64 (.f64 -1/6 z) t)) (sin.f64 (.f64 (.f64 -1/6 z) t))))
(/.f64 (.f64 (sin.f64 (.f64 t (.f64 z -1/6))) y) (cos.f64 (.f64 t (*.f64 z -1/6))))
(.f64 (sin.f64 (.f64 t (.f64 z -1/6))) (/.f64 y (cos.f64 (.f64 t (*.f64 z -1/6)))))
(/.f64 (.f64 y (sin.f64 (.f64 -1/6 (.f64 t z)))) (cos.f64 (.f64 -1/6 (*.f64 t z))))
(/.f64 y (/.f64 (cos.f64 (.f64 (.f64 t z) -1/6)) (sin.f64 (.f64 (.f64 t z) -1/6))))
(/.f64 y (/.f64 (cos.f64 (.f64 (.f64 -1/6 z) t)) (sin.f64 (.f64 (.f64 -1/6 z) t))))
(/.f64 (.f64 (sin.f64 (.f64 t (.f64 z -1/6))) y) (cos.f64 (.f64 t (*.f64 z -1/6))))
(.f64 (sin.f64 (.f64 t (.f64 z -1/6))) (/.f64 y (cos.f64 (.f64 t (*.f64 z -1/6)))))
(/.f64 (.f64 y (sin.f64 (.f64 -1/6 (.f64 t z)))) (cos.f64 (.f64 -1/6 (*.f64 t z))))
(/.f64 y (/.f64 (cos.f64 (.f64 (.f64 t z) -1/6)) (sin.f64 (.f64 (.f64 t z) -1/6))))
(/.f64 y (/.f64 (cos.f64 (.f64 (.f64 -1/6 z) t)) (sin.f64 (.f64 (.f64 -1/6 z) t))))
(/.f64 (.f64 (sin.f64 (.f64 t (.f64 z -1/6))) y) (cos.f64 (.f64 t (*.f64 z -1/6))))
(.f64 (sin.f64 (.f64 t (.f64 z -1/6))) (/.f64 y (cos.f64 (.f64 t (*.f64 z -1/6)))))
(/.f64 (.f64 y (sin.f64 (.f64 -1/6 (.f64 t z)))) (cos.f64 (.f64 -1/6 (*.f64 t z))))
(/.f64 y (/.f64 (cos.f64 (.f64 (.f64 t z) -1/6)) (sin.f64 (.f64 (.f64 t z) -1/6))))
(/.f64 y (/.f64 (cos.f64 (.f64 (.f64 -1/6 z) t)) (sin.f64 (.f64 (.f64 -1/6 z) t))))
(/.f64 (.f64 (sin.f64 (.f64 t (.f64 z -1/6))) y) (cos.f64 (.f64 t (*.f64 z -1/6))))
(.f64 (sin.f64 (.f64 t (.f64 z -1/6))) (/.f64 y (cos.f64 (.f64 t (*.f64 z -1/6)))))
(/.f64 (.f64 y (sin.f64 (.f64 -1/6 (.f64 t z)))) (cos.f64 (.f64 -1/6 (*.f64 t z))))
(/.f64 y (/.f64 (cos.f64 (.f64 (.f64 t z) -1/6)) (sin.f64 (.f64 (.f64 t z) -1/6))))
(/.f64 y (/.f64 (cos.f64 (.f64 (.f64 -1/6 z) t)) (sin.f64 (.f64 (.f64 -1/6 z) t))))
(/.f64 (.f64 (sin.f64 (.f64 t (.f64 z -1/6))) y) (cos.f64 (.f64 t (*.f64 z -1/6))))
(.f64 (sin.f64 (.f64 t (.f64 z -1/6))) (/.f64 y (cos.f64 (.f64 t (*.f64 z -1/6)))))
(/.f64 (.f64 y (sin.f64 (.f64 -1/6 (.f64 t z)))) (cos.f64 (.f64 -1/6 (*.f64 t z))))
(/.f64 y (/.f64 (cos.f64 (.f64 (.f64 t z) -1/6)) (sin.f64 (.f64 (.f64 t z) -1/6))))
(/.f64 y (/.f64 (cos.f64 (.f64 (.f64 -1/6 z) t)) (sin.f64 (.f64 (.f64 -1/6 z) t))))
(/.f64 (.f64 (sin.f64 (.f64 t (.f64 z -1/6))) y) (cos.f64 (.f64 t (*.f64 z -1/6))))
(.f64 (sin.f64 (.f64 t (.f64 z -1/6))) (/.f64 y (cos.f64 (.f64 t (*.f64 z -1/6)))))
(/.f64 (.f64 y (sin.f64 (.f64 -1/6 (.f64 t z)))) (cos.f64 (.f64 -1/6 (*.f64 t z))))
(/.f64 y (/.f64 (cos.f64 (.f64 (.f64 t z) -1/6)) (sin.f64 (.f64 (.f64 t z) -1/6))))
(/.f64 y (/.f64 (cos.f64 (.f64 (.f64 -1/6 z) t)) (sin.f64 (.f64 (.f64 -1/6 z) t))))
(/.f64 (.f64 (sin.f64 (.f64 t (.f64 z -1/6))) y) (cos.f64 (.f64 t (*.f64 z -1/6))))
(.f64 (sin.f64 (.f64 t (.f64 z -1/6))) (/.f64 y (cos.f64 (.f64 t (*.f64 z -1/6)))))
(/.f64 (.f64 y (sin.f64 (.f64 -1/6 (.f64 t z)))) (cos.f64 (.f64 -1/6 (*.f64 t z))))
(/.f64 y (/.f64 (cos.f64 (.f64 (.f64 t z) -1/6)) (sin.f64 (.f64 (.f64 t z) -1/6))))
(/.f64 y (/.f64 (cos.f64 (.f64 (.f64 -1/6 z) t)) (sin.f64 (.f64 (.f64 -1/6 z) t))))
(/.f64 (.f64 (sin.f64 (.f64 t (.f64 z -1/6))) y) (cos.f64 (.f64 t (*.f64 z -1/6))))
(.f64 (sin.f64 (.f64 t (.f64 z -1/6))) (/.f64 y (cos.f64 (.f64 t (*.f64 z -1/6)))))
(/.f64 (.f64 y (sin.f64 (.f64 -1/6 (.f64 t z)))) (cos.f64 (.f64 -1/6 (*.f64 t z))))
(/.f64 y (/.f64 (cos.f64 (.f64 (.f64 t z) -1/6)) (sin.f64 (.f64 (.f64 t z) -1/6))))
(/.f64 y (/.f64 (cos.f64 (.f64 (.f64 -1/6 z) t)) (sin.f64 (.f64 (.f64 -1/6 z) t))))
(/.f64 (.f64 (sin.f64 (.f64 t (.f64 z -1/6))) y) (cos.f64 (.f64 t (*.f64 z -1/6))))
(.f64 (sin.f64 (.f64 t (.f64 z -1/6))) (/.f64 y (cos.f64 (.f64 t (*.f64 z -1/6)))))
(/.f64 (.f64 y (sin.f64 (.f64 -1/6 (.f64 t z)))) (cos.f64 (.f64 -1/6 (*.f64 t z))))
(/.f64 y (/.f64 (cos.f64 (.f64 (.f64 t z) -1/6)) (sin.f64 (.f64 (.f64 t z) -1/6))))
(/.f64 y (/.f64 (cos.f64 (.f64 (.f64 -1/6 z) t)) (sin.f64 (.f64 (.f64 -1/6 z) t))))
(/.f64 (.f64 (sin.f64 (.f64 t (.f64 z -1/6))) y) (cos.f64 (.f64 t (*.f64 z -1/6))))
(.f64 (sin.f64 (.f64 t (.f64 z -1/6))) (/.f64 y (cos.f64 (.f64 t (*.f64 z -1/6)))))
(*.f64 -1/3 z)
(*.f64 z -1/3)
(*.f64 -1/3 z)
(*.f64 z -1/3)
(*.f64 -1/3 z)
(*.f64 z -1/3)
(*.f64 -1/3 z)
(*.f64 z -1/3)
(*.f64 -1/3 z)
(*.f64 z -1/3)
(*.f64 -1/3 z)
(*.f64 z -1/3)
(*.f64 -1/3 z)
(*.f64 z -1/3)
(*.f64 -1/3 z)
(*.f64 z -1/3)
(*.f64 -1/3 z)
(*.f64 z -1/3)
(*.f64 -1/3 z)
(*.f64 z -1/3)
(*.f64 -1/3 z)
(*.f64 z -1/3)
(*.f64 -1/3 z)
(*.f64 z -1/3)

eval340.0ms (1.5%)

Compiler: Compiled 16260 to 10168 computations (37.5% saved)

prune289.0ms (1.3%)

Pruning

94 alts after pruning (90 fresh and 4 done)

	Pruned	Kept	Total
New	537	26	563
Fresh	6	64	70
Picked	1	0	1
Done	1	4	5
Total	545	94	639

Error

15.4b

Counts

639 → 94

Alt Table

Click to see full alt table

Status	Error	Program
	21.9b	(-.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)))
	29.9b	(fma.f64 2 (.f64 (cos.f64 (.f64 z (.f64 t -1/3))) (sqrt.f64 x)) (.f64 a (/.f64 -1/3 b)))
	29.9b	(-.f64 (.f64 2 (.f64 (cos.f64 (.f64 z (.f64 t -1/3))) (sqrt.f64 x))) (/.f64 a (*.f64 b 3)))
	30.5b	(-.f64 (sqrt.f64 (.f64 x (pow.f64 (fma.f64 z (.f64 t (.f64 (sin.f64 y) 2/3)) (.f64 (cos.f64 y) 2)) 2))) (/.f64 a (*.f64 b 3)))
	18.4b	(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))
	58.8b	(pow.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3) 1/3)
	43.1b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 z (.f64 2/3 (.f64 t y))) (.f64 (cos.f64 (.f64 t (.f64 1/3 z))) (-.f64 2 (.f64 y y))))) (/.f64 a (*.f64 b 3)))
✓	18.3b	(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (/.f64 a (*.f64 b 3)))
	18.4b	(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (*.f64 (/.f64 1 b) (/.f64 a 3)))
	21.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
	39.9b	(-.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (/.f64 a (*.f64 b 3)))
	49.0b	(-.f64 (.f64 y (.f64 (.f64 (sqrt.f64 x) (neg.f64 y)) (cos.f64 (.f64 z (.f64 1/3 t))))) (/.f64 a (.f64 b 3)))
	30.3b	(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 (.f64 (.f64 t z) 1/3)) 2))) (/.f64 a (*.f64 b 3)))
	30.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (expm1.f64 (cos.f64 (.f64 (.f64 t z) 1/3))))) (/.f64 a (*.f64 b 3)))
	18.4b	(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (log1p.f64 (expm1.f64 (cos.f64 y))))) (/.f64 a (*.f64 b 3)))
	29.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (.f64 z (.f64 t -1/3)))))) (/.f64 a (*.f64 b 3)))
	38.1b	(-.f64 (.f64 (sqrt.f64 x) (fma.f64 (pow.f64 (.f64 t z) 2) -1/9 2)) (/.f64 a (*.f64 b 3)))
	35.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (exp.f64 (-.f64 (log1p.f64 (cos.f64 (.f64 t (expm1.f64 (log1p.f64 (.f64 z -1/3)))))) (.f64 (tan.f64 (.f64 -1/6 (.f64 t z))) y))) 1)) (/.f64 a (.f64 b 3)))
	22.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (exp.f64 (+.f64 (.f64 1/3 (/.f64 (.f64 t (.f64 z (sin.f64 y))) (+.f64 1 (cos.f64 y)))) (log.f64 (+.f64 1 (cos.f64 y))))) 1)) (/.f64 a (.f64 b 3)))
	30.2b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 (.f64 t z) 1/3)) (.f64 2 (sqrt.f64 x)))) 3) (/.f64 a (*.f64 b 3)))
	27.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (exp.f64 (sqrt.f64 (pow.f64 (log1p.f64 (cos.f64 (fma.f64 t (.f64 z -1/3) y))) 2))) 1)) (/.f64 a (.f64 b 3)))
	37.9b	(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (exp.f64 (log.f64 (*.f64 a (/.f64 1/3 b)))))
	18.4b	(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (-.f64 (+.f64 1 (cos.f64 y)) 1))) (/.f64 a (*.f64 b 3)))
	37.6b	(-.f64 (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (cos.f64 (fma.f64 t (.f64 z -1/3) y)) (.f64 2 (sqrt.f64 x))))) 1/3)) (/.f64 a (.f64 b 3)))
	38.2b	(-.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 (.f64 (.f64 t z) 1/3)) (.f64 2 (sqrt.f64 x))) 3) 1/3) (/.f64 a (*.f64 b 3)))
	26.4b	(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
	49.8b	(/.f64 (/.f64 (*.f64 -1/3 a) (sqrt.f64 b)) (sqrt.f64 b))
	22.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 (fma.f64 t (.f64 z -1/3) y)))) 3)) 1)) (/.f64 a (.f64 b 3)))
	42.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (log.f64 (+.f64 1 (expm1.f64 (.f64 1/3 z))))))) (/.f64 a (*.f64 b 3)))
	21.7b	(-.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)))
	40.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 t (.f64 z -1/3) y)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 t (.f64 z -1/3) y)))) (sin.f64 1)))) (/.f64 a (*.f64 b 3)))
	35.0b	(/.f64 (/.f64 (*.f64 -1/3 a) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))
	22.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (exp.f64 (log1p.f64 (-.f64 (.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (cos.f64 y)) (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (sin.f64 y))))) 1)) (/.f64 a (*.f64 b 3)))
	31.6b	(-.f64 (exp.f64 (log.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)))) (/.f64 a (*.f64 b 3)))
▶	18.4b	(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cbrt.f64 (.f64 (cos.f64 y) (pow.f64 (cos.f64 y) 2))))) (/.f64 a (.f64 b 3)))
▶	21.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 z (/.f64 1 (/.f64 3 t)))))) (/.f64 a (.f64 b 3)))
	19.0b	(.f64 (cbrt.f64 (-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 a (/.f64 1/3 b)))) (pow.f64 (cbrt.f64 (-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 a (/.f64 1/3 b)))) 2))
	21.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))) (cbrt.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))))) (cbrt.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))))) (/.f64 a (.f64 b 3)))
▶	21.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 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)))))) (/.f64 a (*.f64 b 3)))
	54.0b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (exp.f64 (log.f64 (.f64 t -1/3))) y))) (*.f64 a (/.f64 -1/3 b)))
	18.6b	(fma.f64 (.f64 (.f64 2 (cos.f64 y)) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (*.f64 a (neg.f64 (/.f64 1/3 b))))
	21.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 3)))) (/.f64 a (*.f64 b 3)))
	22.0b	(fma.f64 2 (.f64 (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 1/3 (/.f64 1 (neg.f64 b)))))
	21.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 (sin.f64 (.f64 z (.f64 t 1/3))) (sin.f64 y) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))))) (/.f64 a (.f64 b 3)))
▶	30.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (expm1.f64 (log1p.f64 (cos.f64 (.f64 (.f64 t z) 1/3))))) (/.f64 a (*.f64 b 3)))
	18.6b	(-.f64 (pow.f64 (cbrt.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))) 3) (/.f64 a (*.f64 b 3)))
	34.6b	(/.f64 (*.f64 -1/3 a) b)
	37.0b	(fma.f64 2 (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (sqrt.f64 x)))) 1/3)) (*.f64 a (/.f64 -1/3 b)))
	30.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 (.f64 t z) 1/3)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 (.f64 t z) 1/3))))))) (/.f64 a (*.f64 b 3)))
	43.2b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 2 (.f64 y (-.f64 (.f64 t (.f64 z 2/3)) y)))) (/.f64 a (*.f64 b 3)))
	22.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (+.f64 (cos.f64 (fma.f64 t (.f64 z -1/3) y)) 1) -1)) (/.f64 a (.f64 b 3)))
	34.6b	(/.f64 1 (/.f64 b (*.f64 -1/3 a)))
	30.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (pow.f64 (cbrt.f64 (.f64 1/3 z)) 3)))) (/.f64 a (*.f64 b 3)))
	30.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 (.f64 (.f64 t z) 1/3)) 3))) (/.f64 a (*.f64 b 3)))
	51.9b	(exp.f64 (log.f64 (*.f64 -1/3 (/.f64 a b))))
	40.3b	(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 a (*.f64 b 3)))
	18.8b	(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 y))))))) (/.f64 a (*.f64 b 3)))
	49.6b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 z (.f64 2/3 (.f64 t y))) (.f64 (+.f64 1 (.f64 -1/18 (.f64 t (.f64 t (.f64 z z))))) (-.f64 2 (.f64 y y))))) (/.f64 a (*.f64 b 3)))
	35.5b	(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 y))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 y))) (sin.f64 1))))) (/.f64 a (*.f64 b 3)))
	39.2b	(cbrt.f64 (pow.f64 (-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 a (/.f64 1/3 b))) 3))
✓	34.6b	(*.f64 -1/3 (/.f64 a b))
	30.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (.f64 1/3 z)))) (*.f64 (/.f64 a b) 1/3))
	46.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (pow.f64 (pow.f64 (.f64 1/3 z) 3) 1/3)))) (/.f64 a (*.f64 b 3)))
	35.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 (.f64 t z) 1/3)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 (.f64 t z) 1/3)))) (sin.f64 1)))) (/.f64 a (*.f64 b 3)))
▶	34.6b	(/.f64 -1/3 (/.f64 b a))
✓	18.4b	(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cbrt.f64 (pow.f64 (cos.f64 y) 3)))) (/.f64 a (*.f64 b 3)))
	18.8b	(fma.f64 (.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (.f64 2 (cos.f64 y))) 2)) (cbrt.f64 (.f64 2 (cos.f64 y))) (.f64 a (neg.f64 (/.f64 1/3 b))))
	27.4b	(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 (fma.f64 t (.f64 z -1/3) y)) 2))) (/.f64 a (.f64 b 3)))
	30.0b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (.f64 z (.f64 t -1/3)))) (.f64 a (*.f64 1/3 (/.f64 1 (neg.f64 b)))))
	35.1b	(-.f64 (pow.f64 (pow.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) 3) 1/3) (/.f64 a (*.f64 b 3)))
	30.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (.f64 (.f64 t z) 1/3))))) (/.f64 a (*.f64 b 3)))
	38.7b	(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 a b))) 1)
✓	24.7b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (cos.f64 y) 2) (.f64 (.f64 z (.f64 t (sin.f64 y))) 2/3))) (/.f64 a (.f64 b 3)))
	38.1b	(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cbrt.f64 (fma.f64 y (.f64 -3/2 y) 1)))) (/.f64 a (.f64 b 3)))
	36.2b	(-.f64 (exp.f64 (log.f64 (.f64 (cos.f64 (.f64 (.f64 t z) 1/3)) (.f64 2 (sqrt.f64 x))))) (/.f64 a (*.f64 b 3)))
	30.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (.f64 (.f64 t z) 1/3)) 2))) (/.f64 a (*.f64 b 3)))
	30.1b	(-.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (sqrt.f64 x))) (/.f64 a (*.f64 b 3)))
	35.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (exp.f64 (-.f64 (log1p.f64 (cos.f64 (.f64 t (.f64 z -1/3)))) (.f64 (.f64 -1/6 (.f64 t z)) y))) 1)) (/.f64 a (.f64 b 3)))
	38.1b	(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cbrt.f64 (+.f64 1 (.f64 -3/2 (pow.f64 y 2)))))) (/.f64 a (.f64 b 3)))
	22.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 a (/.f64 1/3 b)))
	24.7b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (cos.f64 y) 2) (.f64 (.f64 z (sin.f64 y)) (.f64 t 2/3)))) (/.f64 a (.f64 b 3)))
	21.8b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (pow.f64 (cbrt.f64 (.f64 t -1/3)) 3) y))) (*.f64 a (/.f64 -1/3 b)))
	23.6b	(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (sqrt.f64 (pow.f64 (cos.f64 y) 2)))) (/.f64 a (*.f64 b 3)))
	35.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (exp.f64 (-.f64 (log1p.f64 1) (.f64 (tan.f64 (.f64 -1/6 (.f64 t z))) y))) 1)) (/.f64 a (.f64 b 3)))
	51.0b	(pow.f64 (sqrt.f64 (*.f64 -1/3 (/.f64 a b))) 2)
	27.3b	(-.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)))
	23.8b	(-.f64 (sqrt.f64 (.f64 x (.f64 (pow.f64 (cos.f64 y) 2) 4))) (/.f64 a (*.f64 b 3)))
	38.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (exp.f64 (-.f64 (log1p.f64 (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 z (.f64 t -1/3))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 z (.f64 t -1/3))))) (sin.f64 1)))) (.f64 (tan.f64 (.f64 -1/6 (.f64 t z))) y))) 1)) (/.f64 a (.f64 b 3)))
	30.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 (.f64 t z) 1/3))) 3)) (/.f64 a (*.f64 b 3)))
	28.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (cbrt.f64 (pow.f64 (.f64 z (.f64 t 1/3)) 3))))) (/.f64 a (*.f64 b 3)))
	46.5b	(-.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 (.f64 (.f64 t z) 1/3)) (.f64 2 (sqrt.f64 x)))))) (/.f64 a (*.f64 b 3)))
	34.9b	(pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 3)
	26.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (exp.f64 (fma.f64 1/3 (.f64 (/.f64 t (+.f64 (cos.f64 y) 1)) (.f64 z (sin.f64 y))) (fma.f64 (.f64 -1/18 (.f64 (/.f64 (.f64 t t) (+.f64 (cos.f64 y) 1)) (+.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (+.f64 (cos.f64 y) 1)) (cos.f64 y)))) (.f64 z z) (log1p.f64 (cos.f64 y))))) 1)) (/.f64 a (*.f64 b 3)))
	49.3b	(-.f64 (.f64 (sqrt.f64 x) (.f64 y (-.f64 (.f64 (sin.f64 (.f64 z (.f64 1/3 t))) 2) (.f64 y (cos.f64 (.f64 z (.f64 1/3 t))))))) (/.f64 a (*.f64 b 3)))

Compiler

Compiled 5032 to 3907 computations (22.4% saved)

localize34.0ms (0.2%)

Local error

Found 8 expressions with local error:

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

Compiler

Compiled 85 to 48 computations (43.5% saved)

series4.0ms (0%)

Counts

3 → 28

Calls

12 calls:

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

rewrite60.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

858×	`pow1_binary64`
792×	`add-log-exp_binary64`
792×	`log1p-expm1-u_binary64`
792×	`expm1-log1p-u_binary64`
772×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	225	20
2	2295	20

Stop Event

1×	node limit

Counts

3 → 54

Calls

Call 1

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

Outputs

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

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

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

simplify39.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

911×	`fma-def_binary64`
608×	`associate-l_binary64`
608×	`distribute-rgt-neg-in_binary64`
573×	`distribute-rgt-out_binary64`
564×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	310
1	120	290
2	322	266
3	1098	264
4	4522	264

Stop Event

1×	node limit

Counts

82 → 76

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4))))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
1
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1)
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 1 (.f64 1/3 (pow.f64 y 4))))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 -2/45 (pow.f64 y 6)) (*.f64 1/3 (pow.f64 y 4)))))
(*.f64 2 (sqrt.f64 x))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/12 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x))))
(+.f64 (.f64 -1/360 (.f64 (pow.f64 y 6) (sqrt.f64 x))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/12 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))

Outputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/2 (.f64 y y)))
(fma.f64 -1/2 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/2 y) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/2 (.f64 y y) (.f64 1/24 (pow.f64 y 4))))
(+.f64 (fma.f64 -1/2 (.f64 y y) 1) (.f64 1/24 (pow.f64 y 4)))
(fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) 1))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/2 (.f64 y y) (.f64 1/24 (pow.f64 y 4)))))
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 (fma.f64 -1/2 (.f64 y y) 1) (.f64 1/24 (pow.f64 y 4))))
(fma.f64 -1/720 (pow.f64 y 6) (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) 1)))
(fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) (fma.f64 -1/720 (pow.f64 y 6) 1)))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
1
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1)
(fma.f64 -1 (*.f64 y y) 1)
(-.f64 1 (*.f64 y y))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 1 (.f64 1/3 (pow.f64 y 4))))
(+.f64 (fma.f64 -1 (.f64 y y) 1) (.f64 (pow.f64 y 4) 1/3))
(-.f64 (fma.f64 (pow.f64 y 4) 1/3 1) (*.f64 y y))
(-.f64 (*.f64 (pow.f64 y 4) 1/3) (fma.f64 y y -1))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 -2/45 (pow.f64 y 6)) (*.f64 1/3 (pow.f64 y 4)))))
(+.f64 (fma.f64 -1 (.f64 y y) 1) (fma.f64 -2/45 (pow.f64 y 6) (.f64 (pow.f64 y 4) 1/3)))
(+.f64 (fma.f64 (pow.f64 y 6) -2/45 (.f64 (pow.f64 y 4) 1/3)) (-.f64 1 (.f64 y y)))
(-.f64 (fma.f64 (pow.f64 y 6) -2/45 (fma.f64 (pow.f64 y 4) 1/3 1)) (*.f64 y y))
(-.f64 (fma.f64 (pow.f64 y 4) 1/3 (*.f64 (pow.f64 y 6) -2/45)) (fma.f64 y y -1))
(-.f64 (fma.f64 (pow.f64 y 4) 1/3 1) (fma.f64 y y (*.f64 (pow.f64 y 6) 2/45)))
(*.f64 2 (sqrt.f64 x))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))
(fma.f64 -1 (.f64 (.f64 y y) (sqrt.f64 x)) (*.f64 2 (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (+.f64 (neg.f64 (.f64 y y)) 2))
(.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y)))
(*.f64 (neg.f64 (sqrt.f64 x)) (fma.f64 y y -2))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/12 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x))))
(fma.f64 -1 (.f64 (.f64 y y) (sqrt.f64 x)) (fma.f64 1/12 (.f64 (pow.f64 y 4) (sqrt.f64 x)) (.f64 2 (sqrt.f64 x))))
(-.f64 (.f64 (sqrt.f64 x) (+.f64 2 (.f64 (pow.f64 y 4) 1/12))) (.f64 (.f64 y y) (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (-.f64 (fma.f64 (pow.f64 y 4) 1/12 2) (.f64 y y)))
(.f64 (sqrt.f64 x) (-.f64 2 (fma.f64 y y (.f64 (pow.f64 y 4) -1/12))))
(+.f64 (.f64 -1/360 (.f64 (pow.f64 y 6) (sqrt.f64 x))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/12 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))))
(fma.f64 -1/360 (.f64 (pow.f64 y 6) (sqrt.f64 x)) (fma.f64 -1 (.f64 (.f64 y y) (sqrt.f64 x)) (fma.f64 1/12 (.f64 (pow.f64 y 4) (sqrt.f64 x)) (*.f64 2 (sqrt.f64 x)))))
(+.f64 (.f64 (sqrt.f64 x) (+.f64 2 (.f64 (pow.f64 y 4) 1/12))) (.f64 (sqrt.f64 x) (+.f64 (.f64 (pow.f64 y 6) -1/360) (neg.f64 (*.f64 y y)))))
(.f64 (sqrt.f64 x) (+.f64 (fma.f64 (pow.f64 y 4) 1/12 2) (-.f64 (.f64 (pow.f64 y 6) -1/360) (*.f64 y y))))
(.f64 (sqrt.f64 x) (-.f64 (fma.f64 (pow.f64 y 6) -1/360 (fma.f64 (pow.f64 y 4) 1/12 2)) (.f64 y y)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x)))

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 17 to 10 computations (41.2% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite45.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

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

Outputs

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

simplify11.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

50 → 26

Calls

Call 1

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

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

localize44.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(/.f64 a (*.f64 b 3))
	0.2b	(*.f64 z (/.f64 1 (/.f64 3 t)))
	0.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 z (/.f64 1 (/.f64 3 t)))))) (/.f64 a (.f64 b 3)))
	0.0b	(-.f64 y (*.f64 z (/.f64 1 (/.f64 3 t))))
	0.2b	(/.f64 a (*.f64 b 3))
✓	0.3b	(/.f64 1 (/.f64 3 t))
✓	0.3b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (*.f64 z (/.f64 1 (/.f64 3 t))))))
✓	25.7b	(cos.f64 (-.f64 y (*.f64 z (/.f64 1 (/.f64 3 t)))))

Compiler

Compiled 99 to 65 computations (34.3% saved)

series9.0ms (0%)

Counts

3 → 84

Calls

24 calls:

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

rewrite82.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

825×	`prod-diff_binary64`
300×	`expm1-udef_binary64`
300×	`log1p-udef_binary64`
292×	`fma-def_binary64`
249×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	36
1	352	36
2	4553	36

Stop Event

1×	node limit

Counts

3 → 94

Calls

Call 1

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

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 z (*.f64 t 1/3))) (neg.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 z (*.f64 t 1/3)))) (sin.f64 y)))) (fma.f64 (neg.f64 (neg.f64 (sin.f64 (*.f64 z (*.f64 t 1/3))))) (sin.f64 y) (*.f64 (neg.f64 (sin.f64 (*.f64 z (*.f64 t 1/3)))) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 t 1/3) (neg.f64 z) y)))) (cos.f64 1)) (*.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 t 1/3) (neg.f64 z) y)))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 y 3) (fma.f64 y y (*.f64 (*.f64 z (*.f64 t 1/3)) (fma.f64 z (*.f64 t 1/3) y))))) (cos.f64 (/.f64 (pow.f64 (*.f64 z (*.f64 t 1/3)) 3) (fma.f64 y y (*.f64 (*.f64 z (*.f64 t 1/3)) (fma.f64 z (*.f64 t 1/3) y)))))) (*.f64 (sin.f64 (/.f64 (pow.f64 y 3) (fma.f64 y y (*.f64 (*.f64 z (*.f64 t 1/3)) (fma.f64 z (*.f64 t 1/3) y))))) (sin.f64 (/.f64 (pow.f64 (*.f64 z (*.f64 t 1/3)) 3) (fma.f64 y y (*.f64 (*.f64 z (*.f64 t 1/3)) (fma.f64 z (*.f64 t 1/3) y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (/.f64 (*.f64 y y) (fma.f64 z (*.f64 t 1/3) y))) (cos.f64 (/.f64 (pow.f64 (*.f64 z (*.f64 t 1/3)) 2) (fma.f64 z (*.f64 t 1/3) y)))) (*.f64 (sin.f64 (/.f64 (*.f64 y y) (fma.f64 z (*.f64 t 1/3) y))) (sin.f64 (/.f64 (pow.f64 (*.f64 z (*.f64 t 1/3)) 2) (fma.f64 z (*.f64 t 1/3) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (*.f64 t 1/3)))) (*.f64 (sin.f64 y) (neg.f64 (sin.f64 (*.f64 z (*.f64 t 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (*.f64 t 1/3)))) (*.f64 (neg.f64 (sin.f64 (*.f64 z (*.f64 t 1/3)))) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 (*.f64 t 1/3) (neg.f64 z) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 (*.f64 (*.f64 t 1/3) (neg.f64 z)) 1))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 (*.f64 (*.f64 t 1/3) (neg.f64 z)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (fma.f64 (*.f64 t 1/3) (neg.f64 z) y)) (cos.f64 (fma.f64 (neg.f64 z) (*.f64 t 1/3) (*.f64 z (*.f64 t 1/3))))) (*.f64 (sin.f64 (fma.f64 (*.f64 t 1/3) (neg.f64 z) y)) (sin.f64 (fma.f64 (neg.f64 z) (*.f64 t 1/3) (*.f64 z (*.f64 t 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (fma.f64 (*.f64 t 1/3) (neg.f64 z) y)) (cos.f64 (fma.f64 (*.f64 (*.f64 t 1/3) (neg.f64 z)) 1 (*.f64 z (*.f64 t 1/3))))) (*.f64 (sin.f64 (fma.f64 (*.f64 t 1/3) (neg.f64 z) y)) (sin.f64 (fma.f64 (*.f64 (*.f64 t 1/3) (neg.f64 z)) 1 (*.f64 z (*.f64 t 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (fma.f64 (*.f64 t 1/3) (neg.f64 z) y)) (cos.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (*.f64 t 1/3)))) (cbrt.f64 (pow.f64 (*.f64 z (*.f64 t 1/3)) 2)) (*.f64 z (*.f64 t 1/3))))) (*.f64 (sin.f64 (fma.f64 (*.f64 t 1/3) (neg.f64 z) y)) (sin.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (*.f64 t 1/3)))) (cbrt.f64 (pow.f64 (*.f64 z (*.f64 t 1/3)) 2)) (*.f64 z (*.f64 t 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (fma.f64 (*.f64 t 1/3) (neg.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (fma.f64 (*.f64 t 1/3) (neg.f64 z) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (fma.f64 (*.f64 t 1/3) (neg.f64 z) y))) (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 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simplify67.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

710×	`associate-r_binary64`
688×	`associate-l_binary64`
649×	`fma-def_binary64`
395×	`distribute-rgt-neg-out_binary64`
338×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	97	1694
1	299	1539
2	959	1425
3	4504	1419

Stop Event

1×	node limit

Counts

178 → 132

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

localize80.0ms (0.4%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(log1p.f64 (cos.f64 (.f64 (.f64 t z) 1/3)))
	0.2b	(.f64 (.f64 2 (sqrt.f64 x)) (expm1.f64 (log1p.f64 (cos.f64 (.f64 (.f64 t z) 1/3)))))
	0.1b	(expm1.f64 (log1p.f64 (cos.f64 (.f64 (.f64 t z) 1/3))))
	0.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (expm1.f64 (log1p.f64 (cos.f64 (.f64 (.f64 t z) 1/3))))) (/.f64 a (*.f64 b 3)))
✓	0.2b	(log1p.f64 (cos.f64 (.f64 (.f64 t z) 1/3)))
	0.2b	(/.f64 a (*.f64 b 3))
✓	0.3b	(.f64 (.f64 t z) 1/3)
✓	29.6b	(cos.f64 (.f64 (.f64 t z) 1/3))

Compiler

Compiled 89 to 52 computations (41.6% saved)

series148.0ms (0.7%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
82.0ms	t	@	inf	(log1p.f64 (cos.f64 (.f64 (.f64 t z) 1/3)))
25.0ms	z	@	inf	(log1p.f64 (cos.f64 (.f64 (.f64 t z) 1/3)))
18.0ms	t	@	-inf	(log1p.f64 (cos.f64 (.f64 (.f64 t z) 1/3)))
17.0ms	z	@	-inf	(log1p.f64 (cos.f64 (.f64 (.f64 t z) 1/3)))
1.0ms	t	@	0	(log1p.f64 (cos.f64 (.f64 (.f64 t z) 1/3)))

rewrite64.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

722×	`pow1_binary64`
662×	`add-log-exp_binary64`
662×	`expm1-log1p-u_binary64`
661×	`log1p-expm1-u_binary64`
648×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	27
1	158	27
2	1807	27

Stop Event

1×	node limit

Counts

3 → 42

Calls

Call 1

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

Outputs

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

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

simplify109.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

554×	`associate-l_binary64`
528×	`distribute-rgt-out_binary64`
519×	`distribute-rgt-in_binary64`
492×	`associate-r_binary64`
474×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	79	884
1	221	858
2	754	836
3	3833	836
4	7176	836
5	7504	812
6	7778	812

Stop Event

1×	node limit

Counts

114 → 64

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))
(log.f64 2)
(+.f64 (.f64 -1/36 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (log.f64 2))
(+.f64 (.f64 -1/36 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (+.f64 (log.f64 2) (.f64 1/24 (.f64 (pow.f64 t 4) (+.f64 (.f64 1/162 (pow.f64 z 4)) (.f64 -1/108 (pow.f64 z 4)))))))
(+.f64 (.f64 -1/36 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (+.f64 (log.f64 2) (+.f64 (.f64 1/24 (.f64 (pow.f64 t 4) (+.f64 (.f64 1/162 (pow.f64 z 4)) (.f64 -1/108 (pow.f64 z 4))))) (.f64 1/720 (.f64 (pow.f64 t 6) (+.f64 (.f64 -5/972 (pow.f64 z 6)) (+.f64 (.f64 -1/1458 (pow.f64 z 6)) (*.f64 5/972 (pow.f64 z 6)))))))))
(log.f64 (+.f64 1 (cos.f64 (.f64 1/3 (.f64 t z)))))
(log.f64 (+.f64 1 (cos.f64 (.f64 1/3 (.f64 t z)))))
(log.f64 (+.f64 1 (cos.f64 (.f64 1/3 (.f64 t z)))))
(log.f64 (+.f64 1 (cos.f64 (.f64 1/3 (.f64 t z)))))
(log.f64 (+.f64 1 (cos.f64 (.f64 1/3 (.f64 t z)))))
(log.f64 (+.f64 1 (cos.f64 (.f64 1/3 (.f64 t z)))))
(log.f64 (+.f64 1 (cos.f64 (.f64 1/3 (.f64 t z)))))
(log.f64 (+.f64 1 (cos.f64 (.f64 1/3 (.f64 t z)))))
(log.f64 2)
(+.f64 (.f64 -1/36 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (log.f64 2))
(+.f64 (.f64 -1/36 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (+.f64 (.f64 1/24 (.f64 (+.f64 (.f64 -1/108 (pow.f64 t 4)) (.f64 1/162 (pow.f64 t 4))) (pow.f64 z 4))) (log.f64 2)))
(+.f64 (.f64 -1/36 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (+.f64 (.f64 1/24 (.f64 (+.f64 (.f64 -1/108 (pow.f64 t 4)) (.f64 1/162 (pow.f64 t 4))) (pow.f64 z 4))) (+.f64 (log.f64 2) (.f64 1/720 (.f64 (+.f64 (.f64 -5/972 (pow.f64 t 6)) (+.f64 (.f64 5/972 (pow.f64 t 6)) (*.f64 -1/1458 (pow.f64 t 6)))) (pow.f64 z 6))))))
(log.f64 (+.f64 1 (cos.f64 (.f64 1/3 (.f64 t z)))))
(log.f64 (+.f64 1 (cos.f64 (.f64 1/3 (.f64 t z)))))
(log.f64 (+.f64 1 (cos.f64 (.f64 1/3 (.f64 t z)))))
(log.f64 (+.f64 1 (cos.f64 (.f64 1/3 (.f64 t z)))))
(log.f64 (+.f64 1 (cos.f64 (.f64 1/3 (.f64 t z)))))
(log.f64 (+.f64 1 (cos.f64 (.f64 1/3 (.f64 t z)))))
(log.f64 (+.f64 1 (cos.f64 (.f64 1/3 (.f64 t z)))))
(log.f64 (+.f64 1 (cos.f64 (.f64 1/3 (.f64 t z)))))

Outputs
1
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 1 (.f64 (.f64 -1/18 (.f64 t t)) (.f64 z z)))
(fma.f64 -1/18 (.f64 t (.f64 t (*.f64 z z))) 1)
(fma.f64 (.f64 -1/18 (.f64 t (*.f64 t z))) z 1)
(fma.f64 -1/18 (.f64 z (.f64 t (*.f64 t z))) 1)
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2)))))
(+.f64 1 (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (.f64 (.f64 -1/18 (.f64 t t)) (*.f64 z z))))
(+.f64 1 (fma.f64 -1/18 (.f64 t (.f64 t (.f64 z z))) (.f64 1/1944 (*.f64 (pow.f64 t 4) (pow.f64 z 4)))))
(fma.f64 -1/18 (.f64 z (.f64 t (.f64 t z))) (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) 1))
(fma.f64 -1/18 (.f64 z (.f64 t (.f64 t z))) (fma.f64 (pow.f64 t 4) (.f64 1/1944 (pow.f64 z 4)) 1))
(fma.f64 1/1944 (pow.f64 (.f64 t z) 4) (fma.f64 -1/18 (.f64 z (.f64 t (.f64 t z))) 1))
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(+.f64 1 (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (fma.f64 -1/18 (.f64 (.f64 t t) (.f64 z z)) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(+.f64 1 (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (fma.f64 -1/18 (.f64 t (.f64 t (.f64 z z))) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(+.f64 1 (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (fma.f64 (pow.f64 t 6) (.f64 -1/524880 (pow.f64 z 6)) (.f64 -1/18 (.f64 z (.f64 t (.f64 t z)))))))
(+.f64 (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (.f64 -1/18 (.f64 z (.f64 t (.f64 t z))))) (fma.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6)) 1))
(+.f64 (fma.f64 1/1944 (pow.f64 (.f64 t z) 4) (.f64 -1/18 (.f64 z (.f64 t (.f64 t z))))) (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 (.f64 -1/18 (.f64 t t)) (.f64 z z)))
(fma.f64 -1/18 (.f64 t (.f64 t (*.f64 z z))) 1)
(fma.f64 (.f64 -1/18 (.f64 t (*.f64 t z))) z 1)
(fma.f64 -1/18 (.f64 z (.f64 t (*.f64 t z))) 1)
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2)))))
(+.f64 1 (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (.f64 (.f64 -1/18 (.f64 t t)) (*.f64 z z))))
(+.f64 1 (fma.f64 -1/18 (.f64 t (.f64 t (.f64 z z))) (.f64 1/1944 (*.f64 (pow.f64 t 4) (pow.f64 z 4)))))
(fma.f64 -1/18 (.f64 z (.f64 t (.f64 t z))) (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) 1))
(fma.f64 -1/18 (.f64 z (.f64 t (.f64 t z))) (fma.f64 (pow.f64 t 4) (.f64 1/1944 (pow.f64 z 4)) 1))
(fma.f64 1/1944 (pow.f64 (.f64 t z) 4) (fma.f64 -1/18 (.f64 z (.f64 t (.f64 t z))) 1))
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(+.f64 1 (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (fma.f64 -1/18 (.f64 (.f64 t t) (.f64 z z)) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(+.f64 1 (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (fma.f64 -1/18 (.f64 t (.f64 t (.f64 z z))) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(+.f64 1 (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (fma.f64 (pow.f64 t 6) (.f64 -1/524880 (pow.f64 z 6)) (.f64 -1/18 (.f64 z (.f64 t (.f64 t z)))))))
(+.f64 (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (.f64 -1/18 (.f64 z (.f64 t (.f64 t z))))) (fma.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6)) 1))
(+.f64 (fma.f64 1/1944 (pow.f64 (.f64 t z) 4) (.f64 -1/18 (.f64 z (.f64 t (.f64 t z))))) (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))
(log.f64 2)
(+.f64 (.f64 -1/36 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (log.f64 2))
(fma.f64 -1/36 (.f64 (.f64 t t) (*.f64 z z)) (log.f64 2))
(fma.f64 (.f64 t (.f64 t (*.f64 z z))) -1/36 (log.f64 2))
(fma.f64 (.f64 t t) (.f64 (*.f64 z z) -1/36) (log.f64 2))
(fma.f64 (.f64 t t) (.f64 z (*.f64 z -1/36)) (log.f64 2))
(+.f64 (.f64 -1/36 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (+.f64 (log.f64 2) (.f64 1/24 (.f64 (pow.f64 t 4) (+.f64 (.f64 1/162 (pow.f64 z 4)) (.f64 -1/108 (pow.f64 z 4)))))))
(+.f64 (fma.f64 -1/36 (.f64 (.f64 t t) (.f64 z z)) (log.f64 2)) (.f64 (.f64 1/24 (pow.f64 t 4)) (.f64 (pow.f64 z 4) -1/324)))
(fma.f64 (.f64 t (.f64 t (.f64 z z))) -1/36 (fma.f64 (.f64 (pow.f64 t 4) 1/24) (*.f64 (pow.f64 z 4) -1/324) (log.f64 2)))
(fma.f64 (.f64 t t) (.f64 (.f64 z z) -1/36) (fma.f64 (pow.f64 t 4) (.f64 (pow.f64 z 4) -1/7776) (log.f64 2)))
(fma.f64 (.f64 t t) (.f64 z (.f64 z -1/36)) (fma.f64 (pow.f64 t 4) (.f64 (pow.f64 z 4) -1/7776) (log.f64 2)))
(+.f64 (log.f64 2) (fma.f64 (.f64 t t) (.f64 z (.f64 z -1/36)) (.f64 (pow.f64 (*.f64 t z) 4) -1/7776)))
(+.f64 (.f64 -1/36 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (+.f64 (log.f64 2) (+.f64 (.f64 1/24 (.f64 (pow.f64 t 4) (+.f64 (.f64 1/162 (pow.f64 z 4)) (.f64 -1/108 (pow.f64 z 4))))) (.f64 1/720 (.f64 (pow.f64 t 6) (+.f64 (.f64 -5/972 (pow.f64 z 6)) (+.f64 (.f64 -1/1458 (pow.f64 z 6)) (*.f64 5/972 (pow.f64 z 6)))))))))
(+.f64 (fma.f64 -1/36 (.f64 (.f64 t t) (.f64 z z)) (log.f64 2)) (fma.f64 1/24 (.f64 (pow.f64 t 4) (.f64 (pow.f64 z 4) -1/324)) (.f64 1/720 (.f64 (pow.f64 t 6) (fma.f64 -5/972 (pow.f64 z 6) (.f64 (pow.f64 z 6) 13/2916))))))
(fma.f64 (.f64 t (.f64 t (.f64 z z))) -1/36 (fma.f64 (.f64 (.f64 (pow.f64 t 4) 1/24) -1/324) (pow.f64 z 4) (fma.f64 1/720 (.f64 (pow.f64 t 6) (*.f64 (pow.f64 z 6) -1/1458)) (log.f64 2))))
(fma.f64 (.f64 t t) (.f64 (.f64 z z) -1/36) (fma.f64 (pow.f64 t 4) (.f64 (pow.f64 z 4) -1/7776) (fma.f64 (pow.f64 t 6) (*.f64 (pow.f64 z 6) -1/1049760) (log.f64 2))))
(fma.f64 (.f64 t t) (.f64 z (.f64 z -1/36)) (fma.f64 (pow.f64 t 4) (.f64 (pow.f64 z 4) -1/7776) (fma.f64 (pow.f64 t 6) (*.f64 (pow.f64 z 6) -1/1049760) (log.f64 2))))
(+.f64 (+.f64 (.f64 (pow.f64 (.f64 t z) 6) -1/1049760) (.f64 (pow.f64 (.f64 t z) 4) -1/7776)) (fma.f64 (.f64 t t) (.f64 z (*.f64 z -1/36)) (log.f64 2)))
(log.f64 (+.f64 1 (cos.f64 (.f64 1/3 (.f64 t z)))))
(log1p.f64 (cos.f64 (.f64 1/3 (.f64 t z))))
(log1p.f64 (cos.f64 (.f64 t (.f64 z 1/3))))
(log.f64 (+.f64 1 (cos.f64 (.f64 1/3 (.f64 t z)))))
(log1p.f64 (cos.f64 (.f64 1/3 (.f64 t z))))
(log1p.f64 (cos.f64 (.f64 t (.f64 z 1/3))))
(log.f64 (+.f64 1 (cos.f64 (.f64 1/3 (.f64 t z)))))
(log1p.f64 (cos.f64 (.f64 1/3 (.f64 t z))))
(log1p.f64 (cos.f64 (.f64 t (.f64 z 1/3))))
(log.f64 (+.f64 1 (cos.f64 (.f64 1/3 (.f64 t z)))))
(log1p.f64 (cos.f64 (.f64 1/3 (.f64 t z))))
(log1p.f64 (cos.f64 (.f64 t (.f64 z 1/3))))
(log.f64 (+.f64 1 (cos.f64 (.f64 1/3 (.f64 t z)))))
(log1p.f64 (cos.f64 (.f64 1/3 (.f64 t z))))
(log1p.f64 (cos.f64 (.f64 t (.f64 z 1/3))))
(log.f64 (+.f64 1 (cos.f64 (.f64 1/3 (.f64 t z)))))
(log1p.f64 (cos.f64 (.f64 1/3 (.f64 t z))))
(log1p.f64 (cos.f64 (.f64 t (.f64 z 1/3))))
(log.f64 (+.f64 1 (cos.f64 (.f64 1/3 (.f64 t z)))))
(log1p.f64 (cos.f64 (.f64 1/3 (.f64 t z))))
(log1p.f64 (cos.f64 (.f64 t (.f64 z 1/3))))
(log.f64 (+.f64 1 (cos.f64 (.f64 1/3 (.f64 t z)))))
(log1p.f64 (cos.f64 (.f64 1/3 (.f64 t z))))
(log1p.f64 (cos.f64 (.f64 t (.f64 z 1/3))))
(log.f64 2)
(+.f64 (.f64 -1/36 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (log.f64 2))
(fma.f64 -1/36 (.f64 (.f64 t t) (*.f64 z z)) (log.f64 2))
(fma.f64 (.f64 t (.f64 t (*.f64 z z))) -1/36 (log.f64 2))
(fma.f64 (.f64 t t) (.f64 (*.f64 z z) -1/36) (log.f64 2))
(fma.f64 (.f64 t t) (.f64 z (*.f64 z -1/36)) (log.f64 2))
(+.f64 (.f64 -1/36 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (+.f64 (.f64 1/24 (.f64 (+.f64 (.f64 -1/108 (pow.f64 t 4)) (.f64 1/162 (pow.f64 t 4))) (pow.f64 z 4))) (log.f64 2)))
(+.f64 (fma.f64 -1/36 (.f64 (.f64 t t) (.f64 z z)) (log.f64 2)) (.f64 (.f64 1/24 (pow.f64 t 4)) (.f64 (pow.f64 z 4) -1/324)))
(fma.f64 (.f64 t (.f64 t (.f64 z z))) -1/36 (fma.f64 (.f64 (pow.f64 t 4) 1/24) (*.f64 (pow.f64 z 4) -1/324) (log.f64 2)))
(fma.f64 (.f64 t t) (.f64 (.f64 z z) -1/36) (fma.f64 (pow.f64 t 4) (.f64 (pow.f64 z 4) -1/7776) (log.f64 2)))
(fma.f64 (.f64 t t) (.f64 z (.f64 z -1/36)) (fma.f64 (pow.f64 t 4) (.f64 (pow.f64 z 4) -1/7776) (log.f64 2)))
(+.f64 (log.f64 2) (fma.f64 (.f64 t t) (.f64 z (.f64 z -1/36)) (.f64 (pow.f64 (*.f64 t z) 4) -1/7776)))
(+.f64 (.f64 -1/36 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (+.f64 (.f64 1/24 (.f64 (+.f64 (.f64 -1/108 (pow.f64 t 4)) (.f64 1/162 (pow.f64 t 4))) (pow.f64 z 4))) (+.f64 (log.f64 2) (.f64 1/720 (.f64 (+.f64 (.f64 -5/972 (pow.f64 t 6)) (+.f64 (.f64 5/972 (pow.f64 t 6)) (*.f64 -1/1458 (pow.f64 t 6)))) (pow.f64 z 6))))))
(+.f64 (fma.f64 -1/36 (.f64 (.f64 t t) (.f64 z z)) (log.f64 2)) (fma.f64 1/24 (.f64 (pow.f64 t 4) (.f64 (pow.f64 z 4) -1/324)) (.f64 1/720 (.f64 (pow.f64 t 6) (fma.f64 -5/972 (pow.f64 z 6) (.f64 (pow.f64 z 6) 13/2916))))))
(fma.f64 (.f64 t (.f64 t (.f64 z z))) -1/36 (fma.f64 (.f64 (.f64 (pow.f64 t 4) 1/24) -1/324) (pow.f64 z 4) (fma.f64 1/720 (.f64 (pow.f64 t 6) (*.f64 (pow.f64 z 6) -1/1458)) (log.f64 2))))
(fma.f64 (.f64 t t) (.f64 (.f64 z z) -1/36) (fma.f64 (pow.f64 t 4) (.f64 (pow.f64 z 4) -1/7776) (fma.f64 (pow.f64 t 6) (*.f64 (pow.f64 z 6) -1/1049760) (log.f64 2))))
(fma.f64 (.f64 t t) (.f64 z (.f64 z -1/36)) (fma.f64 (pow.f64 t 4) (.f64 (pow.f64 z 4) -1/7776) (fma.f64 (pow.f64 t 6) (*.f64 (pow.f64 z 6) -1/1049760) (log.f64 2))))
(+.f64 (+.f64 (.f64 (pow.f64 (.f64 t z) 6) -1/1049760) (.f64 (pow.f64 (.f64 t z) 4) -1/7776)) (fma.f64 (.f64 t t) (.f64 z (*.f64 z -1/36)) (log.f64 2)))
(log.f64 (+.f64 1 (cos.f64 (.f64 1/3 (.f64 t z)))))
(log1p.f64 (cos.f64 (.f64 1/3 (.f64 t z))))
(log1p.f64 (cos.f64 (.f64 t (.f64 z 1/3))))
(log.f64 (+.f64 1 (cos.f64 (.f64 1/3 (.f64 t z)))))
(log1p.f64 (cos.f64 (.f64 1/3 (.f64 t z))))
(log1p.f64 (cos.f64 (.f64 t (.f64 z 1/3))))
(log.f64 (+.f64 1 (cos.f64 (.f64 1/3 (.f64 t z)))))
(log1p.f64 (cos.f64 (.f64 1/3 (.f64 t z))))
(log1p.f64 (cos.f64 (.f64 t (.f64 z 1/3))))
(log.f64 (+.f64 1 (cos.f64 (.f64 1/3 (.f64 t z)))))
(log1p.f64 (cos.f64 (.f64 1/3 (.f64 t z))))
(log1p.f64 (cos.f64 (.f64 t (.f64 z 1/3))))
(log.f64 (+.f64 1 (cos.f64 (.f64 1/3 (.f64 t z)))))
(log1p.f64 (cos.f64 (.f64 1/3 (.f64 t z))))
(log1p.f64 (cos.f64 (.f64 t (.f64 z 1/3))))
(log.f64 (+.f64 1 (cos.f64 (.f64 1/3 (.f64 t z)))))
(log1p.f64 (cos.f64 (.f64 1/3 (.f64 t z))))
(log1p.f64 (cos.f64 (.f64 t (.f64 z 1/3))))
(log.f64 (+.f64 1 (cos.f64 (.f64 1/3 (.f64 t z)))))
(log1p.f64 (cos.f64 (.f64 1/3 (.f64 t z))))
(log1p.f64 (cos.f64 (.f64 t (.f64 z 1/3))))
(log.f64 (+.f64 1 (cos.f64 (.f64 1/3 (.f64 t z)))))
(log1p.f64 (cos.f64 (.f64 1/3 (.f64 t z))))
(log1p.f64 (cos.f64 (.f64 t (.f64 z 1/3))))

localize64.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(.f64 (cos.f64 y) (cos.f64 (.f64 z (*.f64 t 1/3))))
	0.1b	(+.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)))))
	0.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 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)))))) (/.f64 a (*.f64 b 3)))
	0.0b	(cos.f64 y)
✓	0.3b	(.f64 (sin.f64 y) (sin.f64 (.f64 z (*.f64 t 1/3))))
✓	0.3b	(*.f64 t 1/3)
✓	29.1b	(sin.f64 (.f64 z (.f64 t 1/3)))
✓	29.8b	(cos.f64 (.f64 z (.f64 t 1/3)))

Compiler

Compiled 144 to 85 computations (41% saved)

series27.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
18.0ms	z	@	0	(.f64 (sin.f64 y) (sin.f64 (.f64 z (*.f64 t 1/3))))
1.0ms	z	@	inf	(.f64 (sin.f64 y) (sin.f64 (.f64 z (*.f64 t 1/3))))
1.0ms	t	@	0	(.f64 (sin.f64 y) (sin.f64 (.f64 z (*.f64 t 1/3))))
1.0ms	y	@	0	(.f64 (sin.f64 y) (sin.f64 (.f64 z (*.f64 t 1/3))))
1.0ms	t	@	inf	(.f64 (sin.f64 y) (sin.f64 (.f64 z (*.f64 t 1/3))))

rewrite69.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

852×	`prod-diff_binary64`
558×	`log-prod_binary64`
300×	`pow2_binary64`
212×	`pow1/3_binary64`
209×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	224	36
2	2798	36

Stop Event

1×	node limit

Counts

4 → 90

Calls

Call 1

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

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

simplify111.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

695×	`associate-l_binary64`
687×	`associate-+l+_binary64`
606×	`fma-def_binary64`
592×	`associate-+r+_binary64`
586×	`associate-r_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	95	1528
1	263	1490
2	828	1422
3	3816	1398
4	4479	1362
5	5426	1344
6	7487	1344

Stop Event

1×	node limit

Counts

186 → 129

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 (.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 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 (sin.f64 (.f64 1/3 (*.f64 t z))) y)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) (sin.f64 (.f64 1/3 (.f64 t z))))) (.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) y))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) (sin.f64 (.f64 1/3 (.f64 t z))))) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) (sin.f64 (.f64 1/3 (.f64 t z))))) (.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) y)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) (sin.f64 (.f64 1/3 (.f64 t z))))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) (sin.f64 (.f64 1/3 (.f64 t z))))) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) (sin.f64 (.f64 1/3 (.f64 t z))))) (.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) y))))
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) (sin.f64 y))
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) (sin.f64 y))
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) (sin.f64 y))
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) (sin.f64 y))
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) (sin.f64 y))
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) (sin.f64 y))
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) (sin.f64 y))
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) (sin.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 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 1/29160 (.f64 (pow.f64 t 5) (.f64 (pow.f64 z 5) (sin.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 -1/11022480 (.f64 (pow.f64 t 7) (.f64 (pow.f64 z 7) (sin.f64 y)))) (+.f64 (.f64 1/29160 (.f64 (pow.f64 t 5) (.f64 (pow.f64 z 5) (sin.f64 y)))) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))))))
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) (sin.f64 y))
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) (sin.f64 y))
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) (sin.f64 y))
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) (sin.f64 y))
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) (sin.f64 y))
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) (sin.f64 y))
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) (sin.f64 y))
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) (sin.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 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 1/29160 (.f64 (pow.f64 t 5) (.f64 (pow.f64 z 5) (sin.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 -1/11022480 (.f64 (pow.f64 t 7) (.f64 (pow.f64 z 7) (sin.f64 y)))) (+.f64 (.f64 1/29160 (.f64 (pow.f64 t 5) (.f64 (pow.f64 z 5) (sin.f64 y)))) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))))))
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) (sin.f64 y))
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) (sin.f64 y))
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) (sin.f64 y))
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) (sin.f64 y))
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) (sin.f64 y))
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) (sin.f64 y))
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) (sin.f64 y))
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) (sin.f64 y))

Outputs
1
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 1 (.f64 -1/18 (.f64 (.f64 t t) (.f64 z z))))
(fma.f64 -1/18 (.f64 t (.f64 t (*.f64 z z))) 1)
(fma.f64 -1/18 (.f64 (.f64 t z) (*.f64 t z)) 1)
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2)))))
(+.f64 1 (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (.f64 -1/18 (.f64 (.f64 t t) (*.f64 z z)))))
(+.f64 1 (fma.f64 -1/18 (.f64 t (.f64 t (.f64 z z))) (.f64 1/1944 (*.f64 (pow.f64 t 4) (pow.f64 z 4)))))
(fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (fma.f64 -1/18 (.f64 (.f64 t z) (.f64 t z)) 1))
(fma.f64 1/1944 (pow.f64 (.f64 t z) 4) (fma.f64 -1/18 (.f64 (.f64 t z) (.f64 t z)) 1))
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(+.f64 1 (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (fma.f64 -1/18 (.f64 (.f64 t t) (.f64 z z)) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(+.f64 1 (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (fma.f64 -1/18 (.f64 t (.f64 t (.f64 z z))) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(+.f64 1 (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (fma.f64 (pow.f64 t 6) (.f64 -1/524880 (pow.f64 z 6)) (.f64 -1/18 (.f64 (.f64 t z) (.f64 t z))))))
(+.f64 (fma.f64 (pow.f64 t 6) (.f64 -1/524880 (pow.f64 z 6)) (.f64 -1/18 (.f64 (.f64 t z) (.f64 t z)))) (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) 1))
(fma.f64 1/1944 (pow.f64 (.f64 t z) 4) (+.f64 (.f64 -1/18 (.f64 (.f64 t z) (.f64 t z))) (fma.f64 -1/524880 (pow.f64 (.f64 t z) 6) 1)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z 1/3)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z 1/3)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z 1/3)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z 1/3)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z 1/3)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z 1/3)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z 1/3)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z 1/3)))
1
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 1 (.f64 -1/18 (.f64 (.f64 t t) (.f64 z z))))
(fma.f64 -1/18 (.f64 t (.f64 t (*.f64 z z))) 1)
(fma.f64 -1/18 (.f64 (.f64 t z) (*.f64 t z)) 1)
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2)))))
(+.f64 1 (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (.f64 -1/18 (.f64 (.f64 t t) (*.f64 z z)))))
(+.f64 1 (fma.f64 -1/18 (.f64 t (.f64 t (.f64 z z))) (.f64 1/1944 (*.f64 (pow.f64 t 4) (pow.f64 z 4)))))
(fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (fma.f64 -1/18 (.f64 (.f64 t z) (.f64 t z)) 1))
(fma.f64 1/1944 (pow.f64 (.f64 t z) 4) (fma.f64 -1/18 (.f64 (.f64 t z) (.f64 t z)) 1))
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(+.f64 1 (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (fma.f64 -1/18 (.f64 (.f64 t t) (.f64 z z)) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(+.f64 1 (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (fma.f64 -1/18 (.f64 t (.f64 t (.f64 z z))) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(+.f64 1 (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (fma.f64 (pow.f64 t 6) (.f64 -1/524880 (pow.f64 z 6)) (.f64 -1/18 (.f64 (.f64 t z) (.f64 t z))))))
(+.f64 (fma.f64 (pow.f64 t 6) (.f64 -1/524880 (pow.f64 z 6)) (.f64 -1/18 (.f64 (.f64 t z) (.f64 t z)))) (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) 1))
(fma.f64 1/1944 (pow.f64 (.f64 t z) 4) (+.f64 (.f64 -1/18 (.f64 (.f64 t z) (.f64 t z))) (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 (.f64 1/3 (.f64 t z)) (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))))
(fma.f64 1/3 (.f64 t z) (.f64 -1/162 (*.f64 (pow.f64 t 3) (pow.f64 z 3))))
(fma.f64 t (.f64 z 1/3) (.f64 -1/162 (*.f64 (pow.f64 t 3) (pow.f64 z 3))))
(fma.f64 t (.f64 z 1/3) (.f64 -1/162 (pow.f64 (*.f64 t z) 3)))
(fma.f64 -1/162 (pow.f64 (.f64 t z) 3) (.f64 t (*.f64 z 1/3)))
(+.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 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)))))
(fma.f64 t (.f64 z 1/3) (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 t (.f64 z 1/3) (fma.f64 -1/162 (pow.f64 (.f64 t z) 3) (.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)))))
(fma.f64 t (.f64 z 1/3) (fma.f64 -1/162 (pow.f64 (.f64 t z) 3) (.f64 (pow.f64 z 5) (.f64 1/29160 (pow.f64 t 5)))))
(+.f64 (.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5))) (+.f64 (.f64 1/3 (.f64 t z)) (+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (.f64 -1/11022480 (.f64 (pow.f64 t 7) (pow.f64 z 7))))))
(fma.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)) (fma.f64 1/3 (.f64 t z) (fma.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)) (.f64 -1/11022480 (*.f64 (pow.f64 t 7) (pow.f64 z 7))))))
(fma.f64 t (.f64 z 1/3) (fma.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)) (fma.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)) (.f64 -1/11022480 (*.f64 (pow.f64 t 7) (pow.f64 z 7))))))
(fma.f64 t (.f64 z 1/3) (fma.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)) (fma.f64 -1/162 (pow.f64 (.f64 t z) 3) (.f64 -1/11022480 (*.f64 (pow.f64 t 7) (pow.f64 z 7))))))
(fma.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)) (fma.f64 -1/162 (pow.f64 (.f64 t z) 3) (fma.f64 -1/11022480 (.f64 (pow.f64 t 7) (pow.f64 z 7)) (.f64 t (*.f64 z 1/3)))))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 t (.f64 z 1/3)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 t (.f64 z 1/3)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 t (.f64 z 1/3)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 t (.f64 z 1/3)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 t (.f64 z 1/3)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 t (.f64 z 1/3)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 t (.f64 z 1/3)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 t (.f64 z 1/3)))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 z 1/3))
(+.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 -1/162 (*.f64 (pow.f64 t 3) (pow.f64 z 3))))
(fma.f64 t (.f64 z 1/3) (.f64 -1/162 (*.f64 (pow.f64 t 3) (pow.f64 z 3))))
(fma.f64 t (.f64 z 1/3) (.f64 -1/162 (pow.f64 (*.f64 t z) 3)))
(fma.f64 -1/162 (pow.f64 (.f64 t z) 3) (.f64 t (*.f64 z 1/3)))
(+.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 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)))))
(fma.f64 t (.f64 z 1/3) (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 t (.f64 z 1/3) (fma.f64 -1/162 (pow.f64 (.f64 t z) 3) (.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)))))
(fma.f64 t (.f64 z 1/3) (fma.f64 -1/162 (pow.f64 (.f64 t z) 3) (.f64 (pow.f64 z 5) (.f64 1/29160 (pow.f64 t 5)))))
(+.f64 (.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5))) (+.f64 (.f64 1/3 (.f64 t z)) (+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (.f64 -1/11022480 (.f64 (pow.f64 t 7) (pow.f64 z 7))))))
(fma.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)) (fma.f64 1/3 (.f64 t z) (fma.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)) (.f64 -1/11022480 (*.f64 (pow.f64 t 7) (pow.f64 z 7))))))
(fma.f64 t (.f64 z 1/3) (fma.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)) (fma.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)) (.f64 -1/11022480 (*.f64 (pow.f64 t 7) (pow.f64 z 7))))))
(fma.f64 t (.f64 z 1/3) (fma.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)) (fma.f64 -1/162 (pow.f64 (.f64 t z) 3) (.f64 -1/11022480 (*.f64 (pow.f64 t 7) (pow.f64 z 7))))))
(fma.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)) (fma.f64 -1/162 (pow.f64 (.f64 t z) 3) (fma.f64 -1/11022480 (.f64 (pow.f64 t 7) (pow.f64 z 7)) (.f64 t (*.f64 z 1/3)))))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 t (.f64 z 1/3)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 t (.f64 z 1/3)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 t (.f64 z 1/3)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 t (.f64 z 1/3)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 t (.f64 z 1/3)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 t (.f64 z 1/3)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 t (.f64 z 1/3)))
(sin.f64 (.f64 1/3 (.f64 t z)))
(sin.f64 (.f64 t (.f64 z 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 t)
(*.f64 t 1/3)
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) y)
(.f64 (sin.f64 (.f64 t (*.f64 z 1/3))) y)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) (sin.f64 (.f64 1/3 (.f64 t z))))) (.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) y))
(fma.f64 -1/6 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (pow.f64 y 3)) (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) y))
(.f64 (sin.f64 (.f64 t (.f64 z 1/3))) (+.f64 y (.f64 -1/6 (pow.f64 y 3))))
(.f64 (sin.f64 (.f64 t (*.f64 z 1/3))) (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) (sin.f64 (.f64 1/3 (.f64 t z))))) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) (sin.f64 (.f64 1/3 (.f64 t z))))) (.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) y)))
(fma.f64 -1/6 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (pow.f64 y 3)) (fma.f64 1/120 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (pow.f64 y 5)) (.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) y)))
(fma.f64 -1/6 (.f64 (sin.f64 (.f64 t (.f64 z 1/3))) (pow.f64 y 3)) (.f64 (sin.f64 (.f64 t (.f64 z 1/3))) (+.f64 y (*.f64 1/120 (pow.f64 y 5)))))
(.f64 (sin.f64 (.f64 t (.f64 z 1/3))) (+.f64 (.f64 -1/6 (pow.f64 y 3)) (fma.f64 1/120 (pow.f64 y 5) y)))
(.f64 (sin.f64 (.f64 t (.f64 z 1/3))) (+.f64 y (fma.f64 -1/6 (pow.f64 y 3) (.f64 1/120 (pow.f64 y 5)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) (sin.f64 (.f64 1/3 (.f64 t z))))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) (sin.f64 (.f64 1/3 (.f64 t z))))) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) (sin.f64 (.f64 1/3 (.f64 t z))))) (.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) y))))
(fma.f64 -1/6 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (pow.f64 y 3)) (fma.f64 -1/5040 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (pow.f64 y 7)) (fma.f64 1/120 (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) (pow.f64 y 5)) (.f64 (sin.f64 (.f64 1/3 (.f64 t z))) y))))
(+.f64 (.f64 (sin.f64 (.f64 t (.f64 z 1/3))) (+.f64 y (.f64 1/120 (pow.f64 y 5)))) (.f64 (sin.f64 (.f64 t (.f64 z 1/3))) (+.f64 (.f64 -1/6 (pow.f64 y 3)) (*.f64 -1/5040 (pow.f64 y 7)))))
(.f64 (sin.f64 (.f64 t (.f64 z 1/3))) (+.f64 (fma.f64 1/120 (pow.f64 y 5) y) (fma.f64 -1/6 (pow.f64 y 3) (.f64 -1/5040 (pow.f64 y 7)))))
(.f64 (sin.f64 (.f64 t (.f64 z 1/3))) (+.f64 (fma.f64 -1/6 (pow.f64 y 3) (.f64 -1/5040 (pow.f64 y 7))) (fma.f64 1/120 (pow.f64 y 5) y)))
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) (sin.f64 y))
(.f64 (sin.f64 (.f64 t (*.f64 z 1/3))) (sin.f64 y))
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) (sin.f64 y))
(.f64 (sin.f64 (.f64 t (*.f64 z 1/3))) (sin.f64 y))
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) (sin.f64 y))
(.f64 (sin.f64 (.f64 t (*.f64 z 1/3))) (sin.f64 y))
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) (sin.f64 y))
(.f64 (sin.f64 (.f64 t (*.f64 z 1/3))) (sin.f64 y))
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) (sin.f64 y))
(.f64 (sin.f64 (.f64 t (*.f64 z 1/3))) (sin.f64 y))
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) (sin.f64 y))
(.f64 (sin.f64 (.f64 t (*.f64 z 1/3))) (sin.f64 y))
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) (sin.f64 y))
(.f64 (sin.f64 (.f64 t (*.f64 z 1/3))) (sin.f64 y))
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) (sin.f64 y))
(.f64 (sin.f64 (.f64 t (*.f64 z 1/3))) (sin.f64 y))
(.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))
(.f64 t (.f64 1/3 (*.f64 z (sin.f64 y))))
(.f64 t (.f64 (sin.f64 y) (*.f64 z 1/3)))
(.f64 z (.f64 t (*.f64 1/3 (sin.f64 y))))
(+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y)))) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))))
(fma.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y))) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))
(fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (.f64 -1/162 (.f64 (pow.f64 t 3) (*.f64 (pow.f64 z 3) (sin.f64 y)))))
(.f64 (sin.f64 y) (fma.f64 t (.f64 z 1/3) (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)))))
(.f64 (sin.f64 y) (fma.f64 t (.f64 z 1/3) (.f64 -1/162 (pow.f64 (.f64 t z) 3))))
(.f64 (sin.f64 y) (fma.f64 -1/162 (pow.f64 (.f64 t z) 3) (.f64 t (.f64 z 1/3))))
(+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y)))) (+.f64 (.f64 1/29160 (.f64 (pow.f64 t 5) (.f64 (pow.f64 z 5) (sin.f64 y)))) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))))
(fma.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y))) (fma.f64 1/29160 (.f64 (pow.f64 t 5) (.f64 (pow.f64 z 5) (sin.f64 y))) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))))
(fma.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y))) (fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (.f64 1/29160 (.f64 (pow.f64 t 5) (*.f64 (pow.f64 z 5) (sin.f64 y))))))
(fma.f64 t (.f64 (sin.f64 y) (.f64 z 1/3)) (.f64 (sin.f64 y) (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))))))
(.f64 (sin.f64 y) (fma.f64 t (.f64 z 1/3) (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))))))
(.f64 (sin.f64 y) (fma.f64 t (.f64 z 1/3) (fma.f64 -1/162 (pow.f64 (.f64 t z) 3) (.f64 1/29160 (*.f64 (pow.f64 t 5) (pow.f64 z 5))))))
(.f64 (sin.f64 y) (fma.f64 t (.f64 z 1/3) (fma.f64 -1/162 (pow.f64 (.f64 t z) 3) (.f64 (pow.f64 z 5) (*.f64 1/29160 (pow.f64 t 5))))))
(+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y)))) (+.f64 (.f64 -1/11022480 (.f64 (pow.f64 t 7) (.f64 (pow.f64 z 7) (sin.f64 y)))) (+.f64 (.f64 1/29160 (.f64 (pow.f64 t 5) (.f64 (pow.f64 z 5) (sin.f64 y)))) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))))))
(fma.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y))) (fma.f64 -1/11022480 (.f64 (pow.f64 t 7) (.f64 (pow.f64 z 7) (sin.f64 y))) (fma.f64 1/29160 (.f64 (pow.f64 t 5) (.f64 (pow.f64 z 5) (sin.f64 y))) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(fma.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y))) (fma.f64 -1/11022480 (.f64 (pow.f64 t 7) (.f64 (pow.f64 z 7) (sin.f64 y))) (fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (.f64 1/29160 (.f64 (pow.f64 t 5) (*.f64 (pow.f64 z 5) (sin.f64 y)))))))
(+.f64 (.f64 (sin.f64 y) (fma.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)) (.f64 t (.f64 z 1/3)))) (.f64 (sin.f64 y) (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))))))
(.f64 (sin.f64 y) (fma.f64 t (.f64 z 1/3) (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)))))))
(.f64 (sin.f64 y) (fma.f64 t (.f64 z 1/3) (fma.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)) (fma.f64 -1/162 (pow.f64 (.f64 t z) 3) (.f64 -1/11022480 (.f64 (pow.f64 t 7) (pow.f64 z 7)))))))
(.f64 (sin.f64 y) (fma.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)) (fma.f64 -1/162 (pow.f64 (.f64 t z) 3) (fma.f64 -1/11022480 (.f64 (pow.f64 t 7) (pow.f64 z 7)) (.f64 t (.f64 z 1/3))))))
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) (sin.f64 y))
(.f64 (sin.f64 (.f64 t (*.f64 z 1/3))) (sin.f64 y))
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) (sin.f64 y))
(.f64 (sin.f64 (.f64 t (*.f64 z 1/3))) (sin.f64 y))
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) (sin.f64 y))
(.f64 (sin.f64 (.f64 t (*.f64 z 1/3))) (sin.f64 y))
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) (sin.f64 y))
(.f64 (sin.f64 (.f64 t (*.f64 z 1/3))) (sin.f64 y))
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) (sin.f64 y))
(.f64 (sin.f64 (.f64 t (*.f64 z 1/3))) (sin.f64 y))
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) (sin.f64 y))
(.f64 (sin.f64 (.f64 t (*.f64 z 1/3))) (sin.f64 y))
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) (sin.f64 y))
(.f64 (sin.f64 (.f64 t (*.f64 z 1/3))) (sin.f64 y))
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) (sin.f64 y))
(.f64 (sin.f64 (.f64 t (*.f64 z 1/3))) (sin.f64 y))
(.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))
(.f64 t (.f64 1/3 (*.f64 z (sin.f64 y))))
(.f64 t (.f64 (sin.f64 y) (*.f64 z 1/3)))
(.f64 z (.f64 t (*.f64 1/3 (sin.f64 y))))
(+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y)))) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))))
(fma.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y))) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))
(fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (.f64 -1/162 (.f64 (pow.f64 t 3) (*.f64 (pow.f64 z 3) (sin.f64 y)))))
(.f64 (sin.f64 y) (fma.f64 t (.f64 z 1/3) (.f64 -1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)))))
(.f64 (sin.f64 y) (fma.f64 t (.f64 z 1/3) (.f64 -1/162 (pow.f64 (.f64 t z) 3))))
(.f64 (sin.f64 y) (fma.f64 -1/162 (pow.f64 (.f64 t z) 3) (.f64 t (.f64 z 1/3))))
(+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y)))) (+.f64 (.f64 1/29160 (.f64 (pow.f64 t 5) (.f64 (pow.f64 z 5) (sin.f64 y)))) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))))
(fma.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y))) (fma.f64 1/29160 (.f64 (pow.f64 t 5) (.f64 (pow.f64 z 5) (sin.f64 y))) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))))
(fma.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y))) (fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (.f64 1/29160 (.f64 (pow.f64 t 5) (*.f64 (pow.f64 z 5) (sin.f64 y))))))
(fma.f64 t (.f64 (sin.f64 y) (.f64 z 1/3)) (.f64 (sin.f64 y) (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))))))
(.f64 (sin.f64 y) (fma.f64 t (.f64 z 1/3) (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))))))
(.f64 (sin.f64 y) (fma.f64 t (.f64 z 1/3) (fma.f64 -1/162 (pow.f64 (.f64 t z) 3) (.f64 1/29160 (*.f64 (pow.f64 t 5) (pow.f64 z 5))))))
(.f64 (sin.f64 y) (fma.f64 t (.f64 z 1/3) (fma.f64 -1/162 (pow.f64 (.f64 t z) 3) (.f64 (pow.f64 z 5) (*.f64 1/29160 (pow.f64 t 5))))))
(+.f64 (.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y)))) (+.f64 (.f64 -1/11022480 (.f64 (pow.f64 t 7) (.f64 (pow.f64 z 7) (sin.f64 y)))) (+.f64 (.f64 1/29160 (.f64 (pow.f64 t 5) (.f64 (pow.f64 z 5) (sin.f64 y)))) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))))))
(fma.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y))) (fma.f64 -1/11022480 (.f64 (pow.f64 t 7) (.f64 (pow.f64 z 7) (sin.f64 y))) (fma.f64 1/29160 (.f64 (pow.f64 t 5) (.f64 (pow.f64 z 5) (sin.f64 y))) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(fma.f64 -1/162 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y))) (fma.f64 -1/11022480 (.f64 (pow.f64 t 7) (.f64 (pow.f64 z 7) (sin.f64 y))) (fma.f64 1/3 (.f64 t (.f64 z (sin.f64 y))) (.f64 1/29160 (.f64 (pow.f64 t 5) (*.f64 (pow.f64 z 5) (sin.f64 y)))))))
(+.f64 (.f64 (sin.f64 y) (fma.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)) (.f64 t (.f64 z 1/3)))) (.f64 (sin.f64 y) (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))))))
(.f64 (sin.f64 y) (fma.f64 t (.f64 z 1/3) (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)))))))
(.f64 (sin.f64 y) (fma.f64 t (.f64 z 1/3) (fma.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)) (fma.f64 -1/162 (pow.f64 (.f64 t z) 3) (.f64 -1/11022480 (.f64 (pow.f64 t 7) (pow.f64 z 7)))))))
(.f64 (sin.f64 y) (fma.f64 1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)) (fma.f64 -1/162 (pow.f64 (.f64 t z) 3) (fma.f64 -1/11022480 (.f64 (pow.f64 t 7) (pow.f64 z 7)) (.f64 t (.f64 z 1/3))))))
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) (sin.f64 y))
(.f64 (sin.f64 (.f64 t (*.f64 z 1/3))) (sin.f64 y))
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) (sin.f64 y))
(.f64 (sin.f64 (.f64 t (*.f64 z 1/3))) (sin.f64 y))
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) (sin.f64 y))
(.f64 (sin.f64 (.f64 t (*.f64 z 1/3))) (sin.f64 y))
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) (sin.f64 y))
(.f64 (sin.f64 (.f64 t (*.f64 z 1/3))) (sin.f64 y))
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) (sin.f64 y))
(.f64 (sin.f64 (.f64 t (*.f64 z 1/3))) (sin.f64 y))
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) (sin.f64 y))
(.f64 (sin.f64 (.f64 t (*.f64 z 1/3))) (sin.f64 y))
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) (sin.f64 y))
(.f64 (sin.f64 (.f64 t (*.f64 z 1/3))) (sin.f64 y))
(.f64 (sin.f64 (.f64 1/3 (*.f64 t z))) (sin.f64 y))
(.f64 (sin.f64 (.f64 t (*.f64 z 1/3))) (sin.f64 y))

eval279.0ms (1.2%)

Compiler: Compiled 15624 to 9805 computations (37.2% saved)

prune231.0ms (1%)

Pruning

112 alts after pruning (104 fresh and 8 done)

	Pruned	Kept	Total
New	526	40	566
Fresh	21	64	85
Picked	0	1	1
Done	1	7	8
Total	548	112	660

Error

13.2b

Counts

660 → 112

Alt Table

Click to see full alt table

Status	Error	Program
	21.9b	(-.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)))
	29.9b	(fma.f64 2 (.f64 (cos.f64 (.f64 z (.f64 t -1/3))) (sqrt.f64 x)) (.f64 a (/.f64 -1/3 b)))
	29.9b	(-.f64 (.f64 2 (.f64 (cos.f64 (.f64 z (.f64 t -1/3))) (sqrt.f64 x))) (/.f64 a (*.f64 b 3)))
	30.5b	(-.f64 (sqrt.f64 (.f64 x (pow.f64 (fma.f64 z (.f64 t (.f64 (sin.f64 y) 2/3)) (.f64 (cos.f64 y) 2)) 2))) (/.f64 a (*.f64 b 3)))
	43.1b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 z (.f64 2/3 (.f64 t y))) (.f64 (cos.f64 (.f64 t (.f64 1/3 z))) (-.f64 2 (.f64 y y))))) (/.f64 a (*.f64 b 3)))
	21.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (/.f64 (-.f64 (cos.f64 (-.f64 y (.f64 1/3 (.f64 z t)))) (cos.f64 (fma.f64 1/3 (.f64 z t) y))) 2))) (/.f64 a (*.f64 b 3)))
✓	18.3b	(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (/.f64 a (*.f64 b 3)))
	30.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 (.f64 t (.f64 z 1/3))))) 3))) (/.f64 a (*.f64 b 3)))
	30.3b	(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 (.f64 (.f64 t z) 1/3)) 2))) (/.f64 a (*.f64 b 3)))
	28.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 z (.f64 (.f64 1/3 (cbrt.f64 (.f64 t t))) (cbrt.f64 t)))))) (/.f64 a (*.f64 b 3)))
	21.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
	39.9b	(-.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (/.f64 a (*.f64 b 3)))
	49.0b	(-.f64 (.f64 y (.f64 (.f64 (sqrt.f64 x) (neg.f64 y)) (cos.f64 (.f64 z (.f64 1/3 t))))) (/.f64 a (.f64 b 3)))
	30.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (expm1.f64 (cos.f64 (.f64 (.f64 t z) 1/3))))) (/.f64 a (*.f64 b 3)))
	26.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (.f64 t 1/3) (neg.f64 z) y)) (cos.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 z (.f64 t 1/3)))) (cbrt.f64 (pow.f64 (.f64 z (.f64 t 1/3)) 2)) (.f64 z (.f64 t 1/3))))) (.f64 (sin.f64 (fma.f64 (.f64 t 1/3) (neg.f64 z) y)) (sin.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 z (.f64 t 1/3)))) (cbrt.f64 (pow.f64 (.f64 z (.f64 t 1/3)) 2)) (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
	49.0b	(.f64 (.f64 (/.f64 -1/3 b) (sqrt.f64 a)) (sqrt.f64 a))
	29.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (.f64 z (.f64 t -1/3)))))) (/.f64 a (*.f64 b 3)))
	21.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (.f64 (exp.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))) (exp.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))))))) (/.f64 a (.f64 b 3)))
	38.1b	(-.f64 (.f64 (sqrt.f64 x) (fma.f64 (pow.f64 (.f64 t z) 2) -1/9 2)) (/.f64 a (*.f64 b 3)))
	35.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (exp.f64 (-.f64 (log1p.f64 (cos.f64 (.f64 t (expm1.f64 (log1p.f64 (.f64 z -1/3)))))) (.f64 (tan.f64 (.f64 -1/6 (.f64 t z))) y))) 1)) (/.f64 a (.f64 b 3)))
	34.9b	(.f64 (.f64 (/.f64 -1/3 b) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
	30.2b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 (.f64 t z) 1/3)) (.f64 2 (sqrt.f64 x)))) 3) (/.f64 a (*.f64 b 3)))
	27.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (exp.f64 (sqrt.f64 (pow.f64 (log1p.f64 (cos.f64 (fma.f64 t (.f64 z -1/3) y))) 2))) 1)) (/.f64 a (.f64 b 3)))
	19.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (.f64 t 1/3) (neg.f64 z) y)) (cos.f64 (fma.f64 (neg.f64 z) (.f64 t 1/3) (.f64 z (.f64 t 1/3))))) (.f64 (sin.f64 (fma.f64 (.f64 t 1/3) (neg.f64 z) y)) (sin.f64 (fma.f64 (neg.f64 z) (.f64 t 1/3) (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
	37.9b	(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (exp.f64 (log.f64 (*.f64 a (/.f64 1/3 b)))))
	18.4b	(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (-.f64 (+.f64 1 (cos.f64 y)) 1))) (/.f64 a (*.f64 b 3)))
	38.2b	(-.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 (.f64 (.f64 t z) 1/3)) (.f64 2 (sqrt.f64 x))) 3) 1/3) (/.f64 a (*.f64 b 3)))
	21.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 z (.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 3 t)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 3 t)) -1)))))) (/.f64 a (*.f64 b 3)))
	37.6b	(-.f64 (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (cos.f64 (fma.f64 t (.f64 z -1/3) y)) (.f64 2 (sqrt.f64 x))))) 1/3)) (/.f64 a (.f64 b 3)))
	49.8b	(/.f64 (/.f64 (*.f64 -1/3 a) (sqrt.f64 b)) (sqrt.f64 b))
	30.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z)))) (/.f64 a (*.f64 b 3)))
	31.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 z (exp.f64 (log.f64 (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
	26.4b	(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
	40.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 t (.f64 z -1/3) y)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 t (.f64 z -1/3) y)))) (sin.f64 1)))) (/.f64 a (*.f64 b 3)))
	35.0b	(/.f64 (/.f64 (*.f64 -1/3 a) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))
	22.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (exp.f64 (log1p.f64 (-.f64 (.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (cos.f64 y)) (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (sin.f64 y))))) 1)) (/.f64 a (*.f64 b 3)))
	21.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 z (.f64 1/3 (pow.f64 (pow.f64 t -1) -1)))))) (/.f64 a (*.f64 b 3)))
	42.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (log.f64 (+.f64 1 (expm1.f64 (.f64 1/3 z))))))) (/.f64 a (*.f64 b 3)))
	27.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (cos.f64 y) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 1/3 (.f64 z t))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 1/3 (.f64 z t))))) (sin.f64 1)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))))) (/.f64 a (*.f64 b 3)))
	31.6b	(-.f64 (exp.f64 (log.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)))) (/.f64 a (*.f64 b 3)))
	23.6b	(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))) (/.f64 a (.f64 b 3)))
	19.0b	(.f64 (cbrt.f64 (-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 a (/.f64 1/3 b)))) (pow.f64 (cbrt.f64 (-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 a (/.f64 1/3 b)))) 2))
✓	21.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 z (/.f64 1 (/.f64 3 t)))))) (/.f64 a (.f64 b 3)))
✓	21.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 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)))))) (/.f64 a (*.f64 b 3)))
	54.0b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (exp.f64 (log.f64 (.f64 t -1/3))) y))) (*.f64 a (/.f64 -1/3 b)))
	34.6b	(*.f64 1/3 (/.f64 1 (/.f64 (neg.f64 b) a)))
	18.6b	(fma.f64 (.f64 (.f64 2 (cos.f64 y)) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (*.f64 a (neg.f64 (/.f64 1/3 b))))
	21.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 3)))) (/.f64 a (*.f64 b 3)))
	22.0b	(fma.f64 2 (.f64 (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 1/3 (/.f64 1 (neg.f64 b)))))
	22.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (cos.f64 y) (sqrt.f64 (pow.f64 (cos.f64 (.f64 1/3 (.f64 z t))) 2))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))))) (/.f64 a (*.f64 b 3)))
	51.9b	(exp.f64 (log.f64 (*.f64 -1/3 (/.f64 a b))))
	37.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (cos.f64 (/.f64 (.f64 y y) (fma.f64 z (.f64 t 1/3) y))) (cos.f64 (/.f64 (pow.f64 (.f64 z (.f64 t 1/3)) 2) (fma.f64 z (.f64 t 1/3) y)))) (.f64 (sin.f64 (/.f64 (.f64 y y) (fma.f64 z (.f64 t 1/3) y))) (sin.f64 (/.f64 (pow.f64 (.f64 z (.f64 t 1/3)) 2) (fma.f64 z (.f64 t 1/3) y)))))) (/.f64 a (*.f64 b 3)))
	18.6b	(-.f64 (pow.f64 (cbrt.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))) 3) (/.f64 a (*.f64 b 3)))
	34.6b	(/.f64 (*.f64 -1/3 a) b)
	21.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))))) (/.f64 a (*.f64 b 3)))
	18.4b	(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cbrt.f64 (.f64 (cos.f64 y) (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y)))))))) (/.f64 a (.f64 b 3)))
✓	30.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (expm1.f64 (log1p.f64 (cos.f64 (.f64 (.f64 t z) 1/3))))) (/.f64 a (*.f64 b 3)))
	30.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 (.f64 (.f64 t z) 1/3)) 3))) (/.f64 a (*.f64 b 3)))
	21.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/3 (.f64 z t)))) 3)) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))))) (/.f64 a (*.f64 b 3)))
	22.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (+.f64 (cos.f64 (fma.f64 t (.f64 z -1/3) y)) 1) -1)) (/.f64 a (.f64 b 3)))
	34.6b	(/.f64 1 (/.f64 b (*.f64 -1/3 a)))
	18.4b	(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (log1p.f64 (expm1.f64 (cos.f64 y))))) (/.f64 a (*.f64 b 3)))
	30.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (pow.f64 (cbrt.f64 (.f64 1/3 z)) 3)))) (/.f64 a (*.f64 b 3)))
	43.2b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 2 (.f64 y (-.f64 (.f64 t (.f64 z 2/3)) y)))) (/.f64 a (*.f64 b 3)))
	40.3b	(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 a (*.f64 b 3)))
	49.6b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 z (.f64 2/3 (.f64 t y))) (.f64 (+.f64 1 (.f64 -1/18 (.f64 t (.f64 t (.f64 z z))))) (-.f64 2 (.f64 y y))))) (/.f64 a (*.f64 b 3)))
	21.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (pow.f64 (cbrt.f64 (.f64 t 1/3)) 3)))))) (/.f64 a (*.f64 b 3)))
	38.2b	(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cbrt.f64 (.f64 (cos.f64 y) (-.f64 1 (.f64 y y)))))) (/.f64 a (*.f64 b 3)))
	35.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 (.f64 t z) 1/3)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 (.f64 t z) 1/3)))) (sin.f64 1)))) (/.f64 a (*.f64 b 3)))
	21.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (/.f64 (-.f64 (.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3))))) (.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))))) (cos.f64 (fma.f64 z (.f64 t 1/3) y)))) (/.f64 a (.f64 b 3)))
	35.5b	(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 y))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 y))) (sin.f64 1))))) (/.f64 a (*.f64 b 3)))
	39.2b	(cbrt.f64 (pow.f64 (-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 a (/.f64 1/3 b))) 3))
✓	34.6b	(*.f64 -1/3 (/.f64 a b))
	30.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (.f64 1/3 z)))) (*.f64 (/.f64 a b) 1/3))
	46.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (pow.f64 (pow.f64 (.f64 1/3 z) 3) 1/3)))) (/.f64 a (*.f64 b 3)))
✓	34.6b	(/.f64 -1/3 (/.f64 b a))
✓	18.4b	(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cbrt.f64 (pow.f64 (cos.f64 y) 3)))) (/.f64 a (*.f64 b 3)))
	44.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (expm1.f64 (log1p.f64 (cos.f64 (exp.f64 (log.f64 (.f64 t (.f64 z 1/3)))))))) (/.f64 a (*.f64 b 3)))
	27.4b	(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 (fma.f64 t (.f64 z -1/3) y)) 2))) (/.f64 a (.f64 b 3)))
	30.0b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (.f64 z (.f64 t -1/3)))) (.f64 a (*.f64 1/3 (/.f64 1 (neg.f64 b)))))
	31.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (exp.f64 (log.f64 (.f64 t 1/3)))))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))))) (/.f64 a (*.f64 b 3)))
	33.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (pow.f64 (pow.f64 (.f64 t 1/3) 3) 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))))) (/.f64 a (*.f64 b 3)))
	35.1b	(-.f64 (pow.f64 (pow.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) 3) 1/3) (/.f64 a (*.f64 b 3)))
	30.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (.f64 (.f64 t z) 1/3))))) (/.f64 a (*.f64 b 3)))
	38.7b	(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 a b))) 1)
✓	24.7b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (cos.f64 y) 2) (.f64 (.f64 z (.f64 t (sin.f64 y))) 2/3))) (/.f64 a (.f64 b 3)))
	35.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (expm1.f64 (log1p.f64 (cos.f64 (expm1.f64 (log1p.f64 (.f64 t (.f64 z 1/3)))))))) (/.f64 a (*.f64 b 3)))
	36.2b	(-.f64 (exp.f64 (log.f64 (.f64 (cos.f64 (.f64 (.f64 t z) 1/3)) (.f64 2 (sqrt.f64 x))))) (/.f64 a (*.f64 b 3)))
	21.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 z (pow.f64 (cbrt.f64 (.f64 t 1/3)) 3))))) (/.f64 a (*.f64 b 3)))
	31.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (expm1.f64 (fma.f64 (.f64 t t) (.f64 z (.f64 z -1/36)) (log.f64 2)))) (/.f64 a (.f64 b 3)))
	38.1b	(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cbrt.f64 (fma.f64 y (.f64 -3/2 y) 1)))) (/.f64 a (.f64 b 3)))
	30.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (.f64 (.f64 t z) 1/3)) 2))) (/.f64 a (*.f64 b 3)))
	34.6b	(pow.f64 (*.f64 (/.f64 b a) -3) -1)
	34.6b	(*.f64 a (/.f64 -1/3 b))
	22.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 a (/.f64 1/3 b)))
	33.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 z (pow.f64 (pow.f64 (.f64 t 1/3) 3) 1/3))))) (/.f64 a (*.f64 b 3)))
	38.1b	(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cbrt.f64 (+.f64 1 (.f64 -3/2 (pow.f64 y 2)))))) (/.f64 a (.f64 b 3)))
	23.6b	(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (fabs.f64 (cos.f64 y)))) (/.f64 a (*.f64 b 3)))
	24.7b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (cos.f64 y) 2) (.f64 (.f64 z (sin.f64 y)) (.f64 t 2/3)))) (/.f64 a (.f64 b 3)))
	30.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (expm1.f64 (sqrt.f64 (pow.f64 (log1p.f64 (cos.f64 (.f64 t (.f64 z 1/3)))) 2)))) (/.f64 a (*.f64 b 3)))
	23.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (expm1.f64 (log1p.f64 (.f64 t 1/3)))))))) (/.f64 a (*.f64 b 3)))
	23.8b	(-.f64 (sqrt.f64 (.f64 x (.f64 (pow.f64 (cos.f64 y) 2) 4))) (/.f64 a (*.f64 b 3)))
	27.3b	(-.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)))
	38.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (exp.f64 (-.f64 (log1p.f64 (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 z (.f64 t -1/3))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 z (.f64 t -1/3))))) (sin.f64 1)))) (.f64 (tan.f64 (.f64 -1/6 (.f64 t z))) y))) 1)) (/.f64 a (.f64 b 3)))
	30.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 (.f64 t z) 1/3))) 3)) (/.f64 a (*.f64 b 3)))
	51.0b	(pow.f64 (sqrt.f64 (*.f64 -1/3 (/.f64 a b))) 2)
	28.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (cbrt.f64 (pow.f64 (.f64 z (.f64 t 1/3)) 3))))) (/.f64 a (*.f64 b 3)))
	46.5b	(-.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 (.f64 (.f64 t z) 1/3)) (.f64 2 (sqrt.f64 x)))))) (/.f64 a (*.f64 b 3)))
	34.9b	(pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 3)
	22.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (cos.f64 y) 1) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))))) (/.f64 a (*.f64 b 3)))
	58.8b	(pow.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3) 1/3)
	49.3b	(-.f64 (.f64 (sqrt.f64 x) (.f64 y (-.f64 (.f64 (sin.f64 (.f64 z (.f64 1/3 t))) 2) (.f64 y (cos.f64 (.f64 z (.f64 1/3 t))))))) (/.f64 a (*.f64 b 3)))

Compiler

Compiled 3176 to 2459 computations (22.6% saved)

regimes7.1s (31.6%)

Counts

178 → 3

Calls

Call 1

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

Outputs

(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (expm1.f64 (fma.f64 (*.f64 t t) (*.f64 z (*.f64 z -1/36)) (log.f64 2)))) (/.f64 a (*.f64 b 3)))

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

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

Calls

22 calls:

513.0ms	(*.f64 2 (sqrt.f64 x))
511.0ms	(*.f64 b 3)
470.0ms	y
461.0ms	b
404.0ms	(*.f64 2 (sqrt.f64 x))

Results

Error	Segments	Branch
17.2b	3	`x`
17.1b	3	`y`
16.7b	3	`z`
15.9b	3	`t`
18.3b	1	`a`
17.3b	2	`b`
15.6b	2	`(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))`
15.6b	2	`(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))`
15.6b	2	`(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))`
17.2b	3	`(*.f64 2 (sqrt.f64 x))`
17.2b	3	`(*.f64 2 (sqrt.f64 x))`
17.2b	3	`(sqrt.f64 x)`
15.6b	2	`(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))`
15.6b	2	`(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))`
15.5b	3	`(-.f64 y (/.f64 (*.f64 z t) 3))`
15.5b	3	`(-.f64 y (/.f64 (*.f64 z t) 3))`
15.5b	3	`(/.f64 (*.f64 z t) 3)`
15.5b	3	`(/.f64 (*.f64 z t) 3)`
15.5b	3	`(*.f64 z t)`
15.5b	3	`(*.f64 z t)`
18.3b	1	`(/.f64 a (*.f64 b 3))`
17.3b	2	`(*.f64 b 3)`

Compiler

Compiled 4308 to 2760 computations (35.9% saved)

bsearch3.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8.112629434344724e+233	7.571142791969324e+240
0.0ms	-6.019216080431389e+234	-1.8931443231111615e+232

Compiler

Compiled 34 to 27 computations (20.6% saved)

regimes2.1s (9.4%)

Counts

162 → 1

Calls

Call 1

Inputs
(*.f64 a (/.f64 -1/3 b))
(/.f64 (*.f64 -1/3 a) b)
(/.f64 -1/3 (/.f64 b a))
(*.f64 -1/3 (/.f64 a b))
(/.f64 1 (/.f64 b (*.f64 -1/3 a)))
(*.f64 1/3 (/.f64 1 (/.f64 (neg.f64 b) a)))
(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 a b))) 1)
(pow.f64 (*.f64 (/.f64 b a) -3) -1)
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(-.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 (.f64 t (.f64 z 2/3)) y)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y (-.f64 y (.f64 z (.f64 t 2/3)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 z (.f64 2/3 (.f64 t y))) (.f64 (+.f64 1 (.f64 -1/18 (.f64 t (.f64 t (.f64 z z))))) (-.f64 2 (.f64 y y))))) (/.f64 a (*.f64 b 3)))
(exp.f64 (log.f64 (*.f64 -1/3 (/.f64 a b))))
(exp.f64 (log.f64 (*.f64 -1/3 (/.f64 a b))))
(pow.f64 (sqrt.f64 (*.f64 -1/3 (/.f64 a b))) 2)
(pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 3)
(.f64 (.f64 (/.f64 -1/3 b) (sqrt.f64 a)) (sqrt.f64 a))
(pow.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3) 1/3)
(pow.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3) 1/3)
(/.f64 (/.f64 (*.f64 -1/3 a) (sqrt.f64 b)) (sqrt.f64 b))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (*.f64 (/.f64 1 b) (/.f64 a 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (-.f64 (+.f64 1 (cos.f64 y)) 1))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 2 (.f64 (cos.f64 (.f64 z (.f64 t -1/3))) (sqrt.f64 x))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (.f64 1/3 z)))) (*.f64 (/.f64 a b) 1/3))
(-.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (sqrt.f64 x))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (.f64 1/3 z)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 z (.f64 t 1/3))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 z 3) t)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 a (/.f64 1/3 b)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 y (.f64 (.f64 (sqrt.f64 x) (neg.f64 y)) (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 z (/.f64 1 (/.f64 3 t)))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 1 b) (/.f64 a 3)))
(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 z (.f64 2/3 (.f64 t y))) (.f64 (cos.f64 (.f64 t (.f64 1/3 z))) (-.f64 2 (.f64 y y))))) (/.f64 a (*.f64 b 3)))
(.f64 (.f64 (/.f64 -1/3 b) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(/.f64 (/.f64 (*.f64 -1/3 a) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 -1/3 b)))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (fabs.f64 (cos.f64 y)))) (/.f64 a (*.f64 b 3)))
(-.f64 (sqrt.f64 (.f64 x (.f64 (pow.f64 (cos.f64 y) 2) 4))) (/.f64 a (*.f64 b 3)))
(fma.f64 2 (.f64 (cos.f64 (.f64 z (.f64 t -1/3))) (sqrt.f64 x)) (.f64 a (/.f64 -1/3 b)))
(-.f64 (.f64 (sqrt.f64 x) (fma.f64 (pow.f64 (.f64 t z) 2) -1/9 2)) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cbrt.f64 (fma.f64 y (.f64 -3/2 y) 1)))) (/.f64 a (.f64 b 3)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (.f64 z (.f64 t -1/3)))) (.f64 a (*.f64 1/3 (/.f64 1 (neg.f64 b)))))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cbrt.f64 (+.f64 1 (.f64 -3/2 (pow.f64 y 2)))))) (/.f64 a (.f64 b 3)))
(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 (.f64 (.f64 t z) 1/3)) 2))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cbrt.f64 (.f64 (cos.f64 y) (-.f64 1 (.f64 y y)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (cos.f64 y) 2) (.f64 (.f64 z (sin.f64 y)) (.f64 t 2/3)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (+.f64 (cos.f64 (fma.f64 t (.f64 z -1/3) y)) 1) -1)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (cos.f64 y) 2) (.f64 (.f64 z (.f64 t (sin.f64 y))) 2/3))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (.f64 y (-.f64 (.f64 (sin.f64 (.f64 z (.f64 1/3 t))) 2) (.f64 y (cos.f64 (.f64 z (.f64 1/3 t))))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) y)) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 y (.f64 2 (sin.f64 (.f64 t (.f64 1/3 z))))) (.f64 (cos.f64 (.f64 t (.f64 1/3 z))) (-.f64 2 (.f64 y y))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (log1p.f64 (expm1.f64 (cos.f64 y))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (log1p.f64 (expm1.f64 (cos.f64 y))))) (/.f64 a (*.f64 b 3)))
(-.f64 (exp.f64 (log.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (exp.f64 (log.f64 (*.f64 a (/.f64 1/3 b)))))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (log1p.f64 (expm1.f64 (cos.f64 y))))) (/.f64 a (*.f64 b 3)))
(log.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 a (/.f64 1/3 b)))))
(-.f64 (exp.f64 (log.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))))) (/.f64 a (*.f64 b 3)))
(-.f64 (pow.f64 (cbrt.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))) 3) (/.f64 a (*.f64 b 3)))
(cbrt.f64 (pow.f64 (-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 a (/.f64 1/3 b))) 3))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cbrt.f64 (pow.f64 (cos.f64 y) 3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (sqrt.f64 (pow.f64 (cos.f64 y) 2)))) (/.f64 a (*.f64 b 3)))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))))) 1) (/.f64 a (*.f64 b 3)))
(-.f64 (pow.f64 (pow.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) 3) 1/3) (/.f64 a (*.f64 b 3)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (*.f64 a (/.f64 -1/3 b)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (expm1.f64 (cos.f64 (.f64 (.f64 t z) 1/3))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (.f64 z (.f64 t -1/3)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (expm1.f64 (log1p.f64 (cos.f64 (.f64 (.f64 t z) 1/3))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (.f64 (.f64 t z) 1/3))))) (/.f64 a (*.f64 b 3)))
(-.f64 (exp.f64 (log.f64 (.f64 (cos.f64 (.f64 (.f64 t z) 1/3)) (.f64 2 (sqrt.f64 x))))) (/.f64 a (*.f64 b 3)))
(-.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 (.f64 t z) 1/3)) (.f64 2 (sqrt.f64 x)))) 3) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (pow.f64 (cbrt.f64 (.f64 1/3 z)) 3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 (.f64 (.f64 t z) 1/3)) 3))) (/.f64 a (*.f64 b 3)))
(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 (fma.f64 t (.f64 z -1/3) y)) 2))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (.f64 (.f64 t z) 1/3)) 2))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 (.f64 t z) 1/3))) 3)) (/.f64 a (*.f64 b 3)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (.f64 a (.f64 1/3 (/.f64 1 (neg.f64 b)))))
(-.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) 2) (.f64 x 4))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 z (exp.f64 (log.f64 (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
(-.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 (.f64 (.f64 t z) 1/3)) (.f64 2 (sqrt.f64 x))) 3) 1/3) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (log.f64 (+.f64 1 (expm1.f64 (.f64 1/3 z))))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (pow.f64 (pow.f64 (.f64 1/3 z) 3) 1/3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 (.f64 (.f64 t z) 1/3)) (.f64 2 (sqrt.f64 x)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (expm1.f64 (log1p.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (fma.f64 (.f64 (.f64 t 2/3) z) (sin.f64 y) (.f64 2 (cos.f64 y)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 z (pow.f64 (cbrt.f64 (.f64 t 1/3)) 3))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (cbrt.f64 (pow.f64 (.f64 z (.f64 t 1/3)) 3))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 z (.f64 1/3 (pow.f64 (pow.f64 t -1) -1)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cbrt.f64 (.f64 (cos.f64 y) (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y)))))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (expm1.f64 (fma.f64 (.f64 t t) (.f64 z (.f64 z -1/36)) (log.f64 2)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 z (pow.f64 (pow.f64 (.f64 t 1/3) 3) 1/3))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (pow.f64 (.f64 z (.f64 t 1/3)) 3) 1/3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (/.f64 1/3 b))))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 z (.f64 (.f64 1/3 (cbrt.f64 (.f64 t t))) (cbrt.f64 t)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (cos.f64 y) 1) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (exp.f64 (-.f64 (log1p.f64 1) (.f64 (tan.f64 (.f64 -1/6 (.f64 t z))) y))) 1)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (exp.f64 (-.f64 (log1p.f64 (cos.f64 (.f64 t (.f64 z -1/3)))) (.f64 (.f64 -1/6 (.f64 t z)) y))) 1)) (/.f64 a (.f64 b 3)))
(fma.f64 (.f64 (.f64 2 (cos.f64 y)) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (*.f64 a (neg.f64 (/.f64 1/3 b))))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cbrt.f64 (.f64 (cos.f64 y) (pow.f64 (cos.f64 y) 2))))) (/.f64 a (.f64 b 3)))
(fma.f64 2 (sqrt.f64 (.f64 x (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2))) (*.f64 a (/.f64 -1/3 b)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (expm1.f64 (log1p.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))))) (/.f64 a (.f64 b 3)))
(-.f64 (exp.f64 (log.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (sqrt.f64 (.f64 x 4))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))))) (/.f64 a (.f64 b 3)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (sqrt.f64 (.f64 (.f64 t t) 1/9)) y))) (.f64 a (/.f64 -1/3 b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (fma.f64 (.f64 t z) (.f64 1/3 (sin.f64 y)) (cos.f64 y))) (.f64 a (/.f64 -1/3 b)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) 3))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) 2))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (sqrt.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))) 2)) (/.f64 a (.f64 b 3)))
(-.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (sqrt.f64 (.f64 x 4))) 3)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))) 3)) (/.f64 a (.f64 b 3)))
(-.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (sqrt.f64 (.f64 x 4)))) 3) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)))) 1)) (/.f64 a (.f64 b 3)))
(-.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (sqrt.f64 (.f64 x 4))) 3) 1/3) (/.f64 a (.f64 b 3)))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (sqrt.f64 (.f64 x 4))))) 1) (/.f64 a (.f64 b 3)))
(-.f64 (sqrt.f64 (.f64 x (pow.f64 (fma.f64 z (.f64 t (.f64 (sin.f64 y) 2/3)) (.f64 (cos.f64 y) 2)) 2))) (/.f64 a (*.f64 b 3)))
(-.f64 (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (cos.f64 (fma.f64 t (.f64 z -1/3) y)) (.f64 2 (sqrt.f64 x))))) 1/3)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (cbrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (exp.f64 (-.f64 (log1p.f64 (cos.f64 (.f64 t (.f64 z -1/3)))) (.f64 (tan.f64 (.f64 -1/6 (.f64 t z))) y))) 1)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.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)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (exp.f64 (log.f64 (.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 a (pow.f64 (cbrt.f64 (/.f64 -1/3 b)) 3)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (pow.f64 (cbrt.f64 (.f64 t -1/3)) 3) y))) (*.f64 a (/.f64 -1/3 b)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (expm1.f64 (log1p.f64 (cos.f64 (exp.f64 (log.f64 (.f64 t (.f64 z 1/3)))))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (expm1.f64 (log1p.f64 (cos.f64 (expm1.f64 (log1p.f64 (.f64 t (.f64 z 1/3)))))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 (.f64 t (.f64 z 1/3))))) 3))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (expm1.f64 (sqrt.f64 (pow.f64 (log1p.f64 (cos.f64 (.f64 t (.f64 z 1/3)))) 2)))) (/.f64 a (*.f64 b 3)))
(fma.f64 2 (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (sqrt.f64 x)))) 1/3)) (*.f64 a (/.f64 -1/3 b)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 (sin.f64 (.f64 z (.f64 t 1/3))) (sin.f64 y) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))))) (/.f64 a (.f64 b 3)))
(fma.f64 2 (.f64 (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 1/3 (/.f64 1 (neg.f64 b)))))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (exp.f64 (+.f64 (.f64 1/3 (/.f64 (.f64 t (.f64 z (sin.f64 y))) (+.f64 1 (cos.f64 y)))) (log.f64 (+.f64 1 (cos.f64 y))))) 1)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (/.f64 (-.f64 (cos.f64 (-.f64 y (.f64 1/3 (.f64 z t)))) (cos.f64 (fma.f64 1/3 (.f64 z t) y))) 2))) (/.f64 a (*.f64 b 3)))
(fma.f64 (.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (.f64 2 (cos.f64 y))) 2)) (cbrt.f64 (.f64 2 (cos.f64 y))) (.f64 a (neg.f64 (/.f64 1/3 b))))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (exp.f64 (sqrt.f64 (pow.f64 (log1p.f64 (cos.f64 (fma.f64 t (.f64 z -1/3) y))) 2))) 1)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 (fma.f64 t (.f64 z -1/3) y)))) 3)) 1)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 z (.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 3 t)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 3 t)) -1)))))) (/.f64 a (*.f64 b 3)))
(.f64 (cbrt.f64 (-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 a (/.f64 1/3 b)))) (pow.f64 (cbrt.f64 (-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 a (/.f64 1/3 b)))) 2))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (exp.f64 (log.f64 (.f64 t 1/3)))))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (expm1.f64 (log1p.f64 (.f64 t 1/3)))))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (exp.f64 (-.f64 (log1p.f64 (cos.f64 (.f64 t (expm1.f64 (log1p.f64 (.f64 z -1/3)))))) (.f64 (tan.f64 (.f64 -1/6 (.f64 t z))) y))) 1)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (cos.f64 y) (sqrt.f64 (pow.f64 (cos.f64 (.f64 1/3 (.f64 z t))) 2))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/3 (.f64 z t)))) 3)) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (pow.f64 (cbrt.f64 (.f64 t 1/3)) 3)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (pow.f64 (pow.f64 (.f64 t 1/3) 3) 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (exp.f64 (log1p.f64 (-.f64 (.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (cos.f64 y)) (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (sin.f64 y))))) 1)) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (.f64 (exp.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))) (exp.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 y))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 y))) (sin.f64 1))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 (.f64 t z) 1/3)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 (.f64 t z) 1/3)))) (sin.f64 1)))) (/.f64 a (*.f64 b 3)))

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

Calls

20 calls:

139.0ms	(*.f64 b 3)
109.0ms	(/.f64 a (*.f64 b 3))
108.0ms	(*.f64 z t)
106.0ms	(*.f64 2 (sqrt.f64 x))
106.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))

Results

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

Compiler

Compiled 3497 to 2238 computations (36% saved)

regimes182.0ms (0.8%)

Counts

23 → 1

Calls

Call 1

Inputs
(*.f64 a (/.f64 -1/3 b))
(/.f64 (*.f64 -1/3 a) b)
(/.f64 -1/3 (/.f64 b a))
(*.f64 -1/3 (/.f64 a b))
(/.f64 1 (/.f64 b (*.f64 -1/3 a)))
(*.f64 1/3 (/.f64 1 (/.f64 (neg.f64 b) a)))
(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 a b))) 1)
(pow.f64 (*.f64 (/.f64 b a) -3) -1)
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(-.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 (.f64 t (.f64 z 2/3)) y)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y (-.f64 y (.f64 z (.f64 t 2/3)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 z (.f64 2/3 (.f64 t y))) (.f64 (+.f64 1 (.f64 -1/18 (.f64 t (.f64 t (.f64 z z))))) (-.f64 2 (.f64 y y))))) (/.f64 a (*.f64 b 3)))
(exp.f64 (log.f64 (*.f64 -1/3 (/.f64 a b))))
(exp.f64 (log.f64 (*.f64 -1/3 (/.f64 a b))))
(pow.f64 (sqrt.f64 (*.f64 -1/3 (/.f64 a b))) 2)
(pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 3)
(.f64 (.f64 (/.f64 -1/3 b) (sqrt.f64 a)) (sqrt.f64 a))
(pow.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3) 1/3)
(pow.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3) 1/3)
(/.f64 (/.f64 (*.f64 -1/3 a) (sqrt.f64 b)) (sqrt.f64 b))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))

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

Calls

13 calls:

15.0ms	(*.f64 b 3)
14.0ms	(sqrt.f64 x)
14.0ms	(/.f64 a (*.f64 b 3))
14.0ms	(/.f64 a (*.f64 b 3))
13.0ms	(*.f64 2 (sqrt.f64 x))

Results

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

Compiler

Compiled 354 to 247 computations (30.2% saved)

regimes132.0ms (0.6%)

Counts

22 → 1

Calls

Call 1

Inputs
(*.f64 a (/.f64 -1/3 b))
(/.f64 (*.f64 -1/3 a) b)
(/.f64 -1/3 (/.f64 b a))
(*.f64 -1/3 (/.f64 a b))
(/.f64 1 (/.f64 b (*.f64 -1/3 a)))
(*.f64 1/3 (/.f64 1 (/.f64 (neg.f64 b) a)))
(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 a b))) 1)
(pow.f64 (*.f64 (/.f64 b a) -3) -1)
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(-.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 (.f64 t (.f64 z 2/3)) y)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y (-.f64 y (.f64 z (.f64 t 2/3)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 z (.f64 2/3 (.f64 t y))) (.f64 (+.f64 1 (.f64 -1/18 (.f64 t (.f64 t (.f64 z z))))) (-.f64 2 (.f64 y y))))) (/.f64 a (*.f64 b 3)))
(exp.f64 (log.f64 (*.f64 -1/3 (/.f64 a b))))
(exp.f64 (log.f64 (*.f64 -1/3 (/.f64 a b))))
(pow.f64 (sqrt.f64 (*.f64 -1/3 (/.f64 a b))) 2)
(pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 3)
(.f64 (.f64 (/.f64 -1/3 b) (sqrt.f64 a)) (sqrt.f64 a))
(pow.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3) 1/3)
(pow.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3) 1/3)
(/.f64 (/.f64 (*.f64 -1/3 a) (sqrt.f64 b)) (sqrt.f64 b))

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

Calls

10 calls:

13.0ms	(*.f64 2 (sqrt.f64 x))
13.0ms	(*.f64 b 3)
12.0ms	t
12.0ms	y
12.0ms	x

Results

Error	Segments	Branch
26.4b	1	`x`
26.4b	1	`y`
26.4b	1	`z`
26.4b	1	`t`
26.4b	1	`a`
26.4b	1	`b`
26.4b	1	`(*.f64 2 (sqrt.f64 x))`
26.4b	1	`(sqrt.f64 x)`
26.4b	1	`(/.f64 a (*.f64 b 3))`
26.4b	1	`(*.f64 b 3)`

Compiler

Compiled 311 to 213 computations (31.5% saved)

regimes40.0ms (0.2%)

Accuracy

Total -4.4b remaining (-12.8%)

Threshold costs -4.4b (-12.8%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

6 calls:

7.0ms	y
6.0ms	t
6.0ms	b
6.0ms	x
6.0ms	a

Results

Error	Segments	Branch
34.6b	1	`x`
34.6b	1	`y`
34.6b	1	`z`
34.6b	1	`t`
34.6b	1	`a`
34.6b	1	`b`

Compiler

Compiled 99 to 75 computations (24.2% saved)

simplify9.0ms (0%)

Algorithm

1×	egg-herbie

Rules

24×	`*-commutative_binary64`
14×	`+-commutative_binary64`
14×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	220
1	93	220
2	122	220
3	138	220
4	147	220
5	149	220

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 z t) -5000000000000000265830098313298245178016947287622550486678486493521945761146082797297502145674652454512860840906256046981475222569026826936584608154510201938349585198667111756724875341881416615617731891764574033605618465285179569078272) (-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (expm1.f64 (fma.f64 (.f64 t t) (.f64 z (.f64 z -1/36)) (log.f64 2)))) (/.f64 a (.f64 b 3))) (if (<=.f64 (.f64 z t) 1000000000000000017865845178806930323739528929966661805443773400559670093686692423675827549619949242079148155740876247260071725785255408160775710807422153542338003433646596020960023924842331815965645472194120710174156699571604284243968) (-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (.f64 t 1/3) (neg.f64 z) y)) (cos.f64 (fma.f64 (neg.f64 z) (.f64 t 1/3) (.f64 z (.f64 t 1/3))))) (.f64 (sin.f64 (fma.f64 (.f64 t 1/3) (neg.f64 z) y)) (sin.f64 (fma.f64 (neg.f64 z) (.f64 t 1/3) (.f64 z (.f64 t 1/3))))))) (/.f64 a (.f64 b 3))) (-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (*.f64 b 3)))))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(/.f64 (*.f64 -1/3 a) b)
(*.f64 a (/.f64 -1/3 b))

Outputs
(if (<=.f64 (.f64 z t) -5000000000000000265830098313298245178016947287622550486678486493521945761146082797297502145674652454512860840906256046981475222569026826936584608154510201938349585198667111756724875341881416615617731891764574033605618465285179569078272) (-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (expm1.f64 (fma.f64 (.f64 t t) (.f64 z (.f64 z -1/36)) (log.f64 2)))) (/.f64 a (.f64 b 3))) (if (<=.f64 (.f64 z t) 1000000000000000017865845178806930323739528929966661805443773400559670093686692423675827549619949242079148155740876247260071725785255408160775710807422153542338003433646596020960023924842331815965645472194120710174156699571604284243968) (-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (.f64 t 1/3) (neg.f64 z) y)) (cos.f64 (fma.f64 (neg.f64 z) (.f64 t 1/3) (.f64 z (.f64 t 1/3))))) (.f64 (sin.f64 (fma.f64 (.f64 t 1/3) (neg.f64 z) y)) (sin.f64 (fma.f64 (neg.f64 z) (.f64 t 1/3) (.f64 z (.f64 t 1/3))))))) (/.f64 a (.f64 b 3))) (-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (*.f64 b 3)))))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))
(+.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (*.f64 a (/.f64 -1/3 b)))
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(/.f64 (*.f64 -1/3 a) b)
(/.f64 (*.f64 a -1/3) b)
(*.f64 a (/.f64 -1/3 b))

end106.0ms (0.5%)

Stop Event

1×

fuel

Compiler

Compiled 542 to 360 computations (33.6% saved)