Details

analyze494.0ms (2.4%)

Algorithm

1×

Search

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

Compiler

Compiled 26 to 20 computations (23.1% saved)

sample5.5s (27%)

Results

1.5s	5046×	body	256	valid
1.3s	1697×	body	1024	valid
1.2s	4654×	body	256	invalid
799.0ms	738×	body	2048	valid
447.0ms	773×	body	512	valid
298.0ms	1153×	body	256	infinite
5.0ms	2×	body	4096	valid

Bogosity

preprocess90.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1
2
3
4
5

Outputs
0
1
2
3
2
4
5

Call 2

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

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

Symmetry

(sort z t)

Compiler

Compiled 31 to 25 computations (19.4% saved)

simplify72.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

19.9b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	20.1b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (/.f64 (*.f64 a -1/3) b))
▶	20.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))

Compiler

Compiled 48 to 36 computations (25% saved)

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (*.f64 z t) 3)
✓	0.2b	(/.f64 a (*.f64 b 3))
✓	0.2b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
✓	22.8b	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))

Compiler

Compiled 83 to 44 computations (47% saved)

series26.0ms (0.1%)

Counts

4 → 120

Calls

33 calls:

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

rewrite104.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 125

Calls

Call 1

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

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

simplify91.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

245 → 166

Calls

Call 1

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

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

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (*.f64 a -1/3) b)
✓	0.3b	(*.f64 t -1/3)
✓	0.5b	(*.f64 a -1/3)
✓	23.1b	(cos.f64 (fma.f64 z (*.f64 t -1/3) y))

Compiler

Compiled 66 to 39 computations (40.9% saved)

series14.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
4.0ms	a	@	-inf	(*.f64 a -1/3)
2.0ms	a	@	inf	(*.f64 a -1/3)
1.0ms	z	@	0	(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
1.0ms	y	@	0	(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
1.0ms	t	@	0	(cos.f64 (fma.f64 z (*.f64 t -1/3) y))

rewrite96.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 124

Calls

Call 1

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

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

simplify109.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

208 → 147

Calls

Call 1

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

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

eval223.0ms (1.1%)

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

prune167.0ms (0.8%)

Pruning

43 alts after pruning (43 fresh and 0 done)

	Pruned	Kept	Total
New	270	43	313
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	272	43	315

Error

14.2b

Counts

315 → 43

Alt Table

Click to see full alt table

Status	Error	Program
	20.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 1/3 b) a))
	28.4b	(-.f64 (expm1.f64 (log1p.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))))) (/.f64 a (.f64 b 3)))
	32.7b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (cos.f64 y) (+.f64 2 (.f64 -1/9 (.f64 t (.f64 t (.f64 z z)))))) (.f64 (.f64 z (sin.f64 y)) (.f64 t 2/3)))) (/.f64 a (.f64 b 3)))
	28.8b	(-.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 2 (sqrt.f64 x)) 3) (pow.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) 3))) (/.f64 a (.f64 b 3)))
	20.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))) 2) (cbrt.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))))) (/.f64 a (.f64 b 3)))
▶	32.2b	(-.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)))
	20.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 3)))) (/.f64 a (*.f64 b 3)))
	20.3b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (pow.f64 (cbrt.f64 (.f64 t -1/3)) 3) y))) (/.f64 (*.f64 a -1/3) b))
▶	27.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 1/3 t)))) (/.f64 a (*.f64 b 3)))
	34.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 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)))))) (/.f64 a (.f64 b 3)))
▶	24.6b	(-.f64 (+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))) (/.f64 a (*.f64 b 3)))
	40.5b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (pow.f64 (pow.f64 (.f64 t -1/3) 3) 1/3) y))) (/.f64 (*.f64 a -1/3) b))
	27.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z))))) (/.f64 a (*.f64 b 3)))
	20.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 z 3) t)))) (/.f64 a (.f64 b 3)))
	40.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (exp.f64 (log.f64 (/.f64 (/.f64 a 3) b))))
	20.2b	(-.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)))
	16.3b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)) (/.f64 (.f64 a -1/3) b))
▶	20.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
	37.8b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (sqrt.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 2)))
	20.2b	(-.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)))
	39.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (sqrt.f64 (.f64 z t)) (.f64 (sqrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
	34.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 a 3) b) 3)))
	20.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 (/.f64 a 3) b) 1))
	24.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))))) (/.f64 a (.f64 b 3)))
	20.1b	(fma.f64 (sqrt.f64 x) (.f64 2 (log.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))) (/.f64 (*.f64 a -1/3) b))
	27.9b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (.f64 t (.f64 z -1/3)))) (/.f64 (.f64 a -1/3) b))
	26.2b	(-.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)))
	20.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2) (cbrt.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (.f64 b 3)))
▶	16.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
	20.6b	(fma.f64 (sqrt.f64 x) (.f64 2 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))))) (/.f64 (.f64 a -1/3) b))
	34.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 a 3) b))) 1))
	24.4b	(-.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)))
	20.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3)) (neg.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3)))))) (/.f64 a (.f64 b 3)))
	36.3b	(fma.f64 (sqrt.f64 x) (.f64 2 (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 z (.f64 t -1/3) y)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 z (.f64 t -1/3) y)))) (sin.f64 1)))) (/.f64 (.f64 a -1/3) b))
	20.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (cbrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
	20.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))) 3)) (/.f64 a (.f64 b 3)))
	52.5b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (exp.f64 (log.f64 (.f64 t -1/3))) y))) (/.f64 (*.f64 a -1/3) b))
	20.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (/.f64 (/.f64 3 z) t) -1)))) (/.f64 a (*.f64 b 3)))
	20.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 a b) 1/3))
	34.4b	(-.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))))) 1) (/.f64 a (.f64 b 3)))
	39.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (exp.f64 (log.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
	20.4b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x)))) 3) (/.f64 a (.f64 b 3)))
	40.4b	(-.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))) 3) 1/3) (/.f64 a (.f64 b 3)))

Compiler

Compiled 2480 to 1884 computations (24% saved)

localize20.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 48 to 27 computations (43.8% saved)

series12.0ms (0.1%)

Counts

2 → 49

Calls

18 calls:

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

rewrite97.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 146

Calls

Call 1

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

Outputs

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

simplify95.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

195 → 167

Calls

Call 1

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

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

localize217.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 1/3 t))))
	0.2b	(/.f64 a (*.f64 b 3))
✓	0.3b	(*.f64 1/3 t)
✓	27.9b	(cos.f64 (.f64 z (.f64 1/3 t)))

Compiler

Compiled 70 to 44 computations (37.1% saved)

series19.0ms (0.1%)

Counts

3 → 48

Calls

18 calls:

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

rewrite104.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 69

Calls

Call 1

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

Outputs

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

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

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

simplify199.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 7 (0.0ms)

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

Stop Event

1×	node limit

Counts

117 → 87

Calls

Call 1

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

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

localize93.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 1/3 (.f64 t z))
✓	3.4b	(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)
✓	27.6b	(sin.f64 (neg.f64 (.f64 1/3 (.f64 t z))))
✓	27.8b	(cos.f64 (neg.f64 (.f64 1/3 (.f64 t z))))

Compiler

Compiled 151 to 90 computations (40.4% saved)

series68.0ms (0.3%)

Counts

4 → 24

Calls

27 calls:

Time	Variable		Point	Expression
48.0ms	y	@	0	(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)
1.0ms	t	@	0	(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)
1.0ms	y	@	inf	(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)
1.0ms	t	@	0	(sin.f64 (neg.f64 (.f64 1/3 (.f64 t z))))
1.0ms	z	@	0	(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)

rewrite101.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 134

Calls

Call 1

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

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

simplify136.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	67	660
1	198	656
2	634	632
3	3035	616
4	3571	580
5	4459	562
6	6383	562
7	7276	544
8	7864	544

Stop Event

1×	node limit

Counts

158 → 157

Calls

Call 1

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

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

localize37.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 a (*.f64 b 3))
✓	0.3b	(.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
✓	2.5b	(.f64 t (.f64 z (sin.f64 y)))
✓	3.7b	(.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))

Compiler

Compiled 115 to 39 computations (66.1% saved)

series28.0ms (0.1%)

Counts

3 → 12

Calls

33 calls:

Time	Variable		Point	Expression
6.0ms	t	@	-inf	(.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))
3.0ms	z	@	0	(.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))
2.0ms	t	@	0	(.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))
1.0ms	y	@	0	(.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))
1.0ms	x	@	0	(.f64 (.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))

rewrite73.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	40
1	242	40
2	2914	40

Stop Event

1×	node limit

Counts

3 → 63

Calls

Call 1

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

Outputs

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

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

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

simplify194.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

874×	`distribute-rgt-out_binary64`
712×	`distribute-lft-in_binary64`
679×	`distribute-lft-out_binary64`
664×	`fma-def_binary64`
577×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	430
1	167	374
2	604	294
3	3113	282
4	5670	282
5	5853	282
6	5947	282
7	6063	282
8	6285	282
9	6771	282

Stop Event

1×	node limit

Counts

75 → 87

Calls

Call 1

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

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

localize58.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.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)))))
✓	0.3b	(.f64 (.f64 z t) -1/3)
✓	27.6b	(sin.f64 (.f64 (.f64 z t) -1/3))
✓	27.8b	(cos.f64 (.f64 (.f64 z t) -1/3))

Compiler

Compiled 144 to 73 computations (49.3% saved)

series25.0ms (0.1%)

Counts

4 → 108

Calls

30 calls:

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

rewrite106.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

705×	`fma-def_binary64`
365×	`expm1-udef_binary64`
365×	`log1p-udef_binary64`
331×	`fma-neg_binary64`
209×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	63
1	409	45
2	5358	43

Stop Event

1×	node limit

Counts

4 → 114

Calls

Call 1

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

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

simplify331.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

679×	`fma-def_binary64`
582×	`fma-neg_binary64`
436×	`cancel-sign-sub-inv_binary64`
406×	`*-commutative_binary64`
351×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	115	2281
1	330	2245
2	1044	2151
3	2452	2148
4	3532	2140
5	4637	2140
6	6758	2139
7	7993	2139

Stop Event

1×	node limit

Counts

222 → 154

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 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (.f64 -1/3 (.f64 t z)))
(+.f64 (.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (+.f64 (.f64 -1/3 (.f64 t z)) (.f64 -1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)))))
(+.f64 (.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (+.f64 (.f64 1/11022480 (.f64 (pow.f64 t 7) (pow.f64 z 7))) (+.f64 (.f64 -1/3 (.f64 t z)) (.f64 -1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5))))))
(sin.f64 (.f64 -1/3 (.f64 t z)))
(sin.f64 (.f64 -1/3 (.f64 t z)))
(sin.f64 (.f64 -1/3 (.f64 t z)))
(sin.f64 (.f64 -1/3 (.f64 t z)))
(sin.f64 (.f64 -1/3 (.f64 t z)))
(sin.f64 (.f64 -1/3 (.f64 t z)))
(sin.f64 (.f64 -1/3 (.f64 t z)))
(sin.f64 (.f64 -1/3 (.f64 t z)))
(.f64 -1/3 (.f64 t z))
(+.f64 (.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (.f64 -1/3 (.f64 t z)))
(+.f64 (.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (+.f64 (.f64 -1/3 (.f64 t z)) (.f64 -1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)))))
(+.f64 (.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (+.f64 (.f64 1/11022480 (.f64 (pow.f64 t 7) (pow.f64 z 7))) (+.f64 (.f64 -1/3 (.f64 t z)) (.f64 -1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5))))))
(sin.f64 (.f64 -1/3 (.f64 t z)))
(sin.f64 (.f64 -1/3 (.f64 t z)))
(sin.f64 (.f64 -1/3 (.f64 t z)))
(sin.f64 (.f64 -1/3 (.f64 t z)))
(sin.f64 (.f64 -1/3 (.f64 t z)))
(sin.f64 (.f64 -1/3 (.f64 t z)))
(sin.f64 (.f64 -1/3 (.f64 t z)))
(sin.f64 (.f64 -1/3 (.f64 t z)))
(.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 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 (sqrt.f64 x) (-.f64 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (cos.f64 y)) (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) (sin.f64 y)))))
(.f64 2 (.f64 (sqrt.f64 x) (-.f64 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (cos.f64 y)) (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) (sin.f64 y)))))
(.f64 2 (.f64 (sqrt.f64 x) (-.f64 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (cos.f64 y)) (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) (sin.f64 y)))))
(.f64 2 (.f64 (sqrt.f64 x) (-.f64 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (cos.f64 y)) (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) (sin.f64 y)))))
(.f64 2 (.f64 (sqrt.f64 x) (-.f64 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (cos.f64 y)) (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) (sin.f64 y)))))
(.f64 2 (.f64 (sqrt.f64 x) (-.f64 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (cos.f64 y)) (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) (sin.f64 y)))))
(.f64 2 (.f64 (sqrt.f64 x) (-.f64 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (cos.f64 y)) (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) (sin.f64 y)))))
(.f64 2 (.f64 (sqrt.f64 x) (-.f64 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (cos.f64 y)) (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) (sin.f64 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))))
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(+.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 (sqrt.f64 x) (-.f64 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (cos.f64 y)) (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) (sin.f64 y)))))
(.f64 2 (.f64 (sqrt.f64 x) (-.f64 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (cos.f64 y)) (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) (sin.f64 y)))))
(.f64 2 (.f64 (sqrt.f64 x) (-.f64 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (cos.f64 y)) (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) (sin.f64 y)))))
(.f64 2 (.f64 (sqrt.f64 x) (-.f64 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (cos.f64 y)) (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) (sin.f64 y)))))
(.f64 2 (.f64 (sqrt.f64 x) (-.f64 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (cos.f64 y)) (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) (sin.f64 y)))))
(.f64 2 (.f64 (sqrt.f64 x) (-.f64 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (cos.f64 y)) (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) (sin.f64 y)))))
(.f64 2 (.f64 (sqrt.f64 x) (-.f64 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (cos.f64 y)) (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) (sin.f64 y)))))
(.f64 2 (.f64 (sqrt.f64 x) (-.f64 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (cos.f64 y)) (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) (sin.f64 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 -1/9 (.f64 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 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)))))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (.f64 (cos.f64 y) (pow.f64 z 2))) (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 2 (.f64 (cos.f64 y) (sqrt.f64 x))))))
(.f64 2 (.f64 (sqrt.f64 x) (-.f64 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (cos.f64 y)) (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) (sin.f64 y)))))
(.f64 2 (.f64 (sqrt.f64 x) (-.f64 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (cos.f64 y)) (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) (sin.f64 y)))))
(.f64 2 (.f64 (sqrt.f64 x) (-.f64 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (cos.f64 y)) (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) (sin.f64 y)))))
(.f64 2 (.f64 (sqrt.f64 x) (-.f64 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (cos.f64 y)) (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) (sin.f64 y)))))
(.f64 2 (.f64 (-.f64 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (cos.f64 y)) (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) (sin.f64 y))) (sqrt.f64 x)))
(.f64 2 (.f64 (-.f64 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (cos.f64 y)) (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) (sin.f64 y))) (sqrt.f64 x)))
(.f64 2 (.f64 (-.f64 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (cos.f64 y)) (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) (sin.f64 y))) (sqrt.f64 x)))
(.f64 2 (.f64 (-.f64 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (cos.f64 y)) (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) (sin.f64 y))) (sqrt.f64 x)))

Outputs
1
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(fma.f64 -1/18 (.f64 t (.f64 t (.f64 z z))) (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) 1))
(fma.f64 -1/18 (.f64 (.f64 t z) (.f64 t z)) (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) 1))
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(cos.f64 (.f64 -1/3 (.f64 t z)))
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1
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(sin.f64 (.f64 -1/3 (.f64 t z)))
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(fma.f64 -1/81 (.f64 (pow.f64 t 3) (.f64 (.f64 (pow.f64 z 3) (sin.f64 y)) (sqrt.f64 x))) (fma.f64 -1/9 (.f64 (.f64 t t) (.f64 (.f64 (.f64 z z) (cos.f64 y)) (sqrt.f64 x))) (fma.f64 2/3 (.f64 (sqrt.f64 x) (.f64 (.f64 t z) (sin.f64 y))) (.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))))
(+.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 2 (cos.f64 y)) (.f64 2/3 (.f64 t (.f64 z (sin.f64 y)))))) (.f64 (sqrt.f64 x) (+.f64 (.f64 -1/9 (.f64 t (.f64 t (.f64 (.f64 z z) (cos.f64 y))))) (.f64 -1/81 (.f64 (pow.f64 t 3) (.f64 (pow.f64 z 3) (sin.f64 y)))))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 (cos.f64 y) (+.f64 (.f64 (.f64 t (.f64 t (.f64 z z))) -1/9) 2)) (.f64 (sin.f64 y) (+.f64 (.f64 (.f64 (pow.f64 t 3) (pow.f64 z 3)) -1/81) (.f64 (*.f64 t z) 2/3)))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 (cos.f64 y) (+.f64 2 (.f64 (.f64 t (.f64 t (.f64 z z))) -1/9))) (.f64 (sin.f64 y) (+.f64 (.f64 (.f64 t z) 2/3) (.f64 (*.f64 (pow.f64 t 3) (pow.f64 z 3)) -1/81)))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 (cos.f64 y) (+.f64 2 (.f64 (.f64 (.f64 t z) (.f64 t z)) -1/9))) (.f64 (sin.f64 y) (+.f64 (.f64 (.f64 t z) 2/3) (.f64 (*.f64 (pow.f64 t 3) (pow.f64 z 3)) -1/81)))))
(.f64 2 (.f64 (sqrt.f64 x) (-.f64 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (cos.f64 y)) (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) (sin.f64 y)))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (cos.f64 y) (.f64 (sin.f64 (.f64 t (*.f64 z -1/3))) (neg.f64 (sin.f64 y))))))
(.f64 2 (.f64 (sqrt.f64 x) (-.f64 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (cos.f64 y)) (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) (sin.f64 y)))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (cos.f64 y) (.f64 (sin.f64 (.f64 t (*.f64 z -1/3))) (neg.f64 (sin.f64 y))))))
(.f64 2 (.f64 (sqrt.f64 x) (-.f64 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (cos.f64 y)) (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) (sin.f64 y)))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (cos.f64 y) (.f64 (sin.f64 (.f64 t (*.f64 z -1/3))) (neg.f64 (sin.f64 y))))))
(.f64 2 (.f64 (sqrt.f64 x) (-.f64 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (cos.f64 y)) (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) (sin.f64 y)))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (cos.f64 y) (.f64 (sin.f64 (.f64 t (*.f64 z -1/3))) (neg.f64 (sin.f64 y))))))
(.f64 2 (.f64 (-.f64 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (cos.f64 y)) (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) (sin.f64 y))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (-.f64 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (cos.f64 y)) (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) (sin.f64 y)))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (cos.f64 y) (.f64 (sin.f64 (.f64 t (*.f64 z -1/3))) (neg.f64 (sin.f64 y))))))
(.f64 2 (.f64 (-.f64 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (cos.f64 y)) (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) (sin.f64 y))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (-.f64 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (cos.f64 y)) (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) (sin.f64 y)))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (cos.f64 y) (.f64 (sin.f64 (.f64 t (*.f64 z -1/3))) (neg.f64 (sin.f64 y))))))
(.f64 2 (.f64 (-.f64 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (cos.f64 y)) (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) (sin.f64 y))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (-.f64 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (cos.f64 y)) (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) (sin.f64 y)))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (cos.f64 y) (.f64 (sin.f64 (.f64 t (*.f64 z -1/3))) (neg.f64 (sin.f64 y))))))
(.f64 2 (.f64 (-.f64 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (cos.f64 y)) (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) (sin.f64 y))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (-.f64 (.f64 (cos.f64 (.f64 -1/3 (.f64 t z))) (cos.f64 y)) (.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) (sin.f64 y)))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (cos.f64 y) (.f64 (sin.f64 (.f64 t (*.f64 z -1/3))) (neg.f64 (sin.f64 y))))))

eval535.0ms (2.6%)

Compiler: Compiled 24545 to 14844 computations (39.5% saved)

prune494.0ms (2.4%)

Pruning

71 alts after pruning (69 fresh and 2 done)

	Pruned	Kept	Total
New	765	51	816
Fresh	20	18	38
Picked	0	1	1
Done	3	1	4
Total	788	71	859

Error

13.6b

Counts

859 → 71

Alt Table

Click to see full alt table

Status	Error	Program
	28.2b	(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 (.f64 t (.f64 z 1/3))) 2))) (/.f64 a (*.f64 b 3)))
	32.7b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (cos.f64 y) (+.f64 2 (.f64 -1/9 (.f64 t (.f64 t (.f64 z z)))))) (.f64 (.f64 z (sin.f64 y)) (.f64 t 2/3)))) (/.f64 a (.f64 b 3)))
	35.8b	(-.f64 (.f64 (sqrt.f64 x) (fma.f64 (pow.f64 (.f64 t z) 2) -1/9 2)) (/.f64 a (*.f64 b 3)))
	27.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (expm1.f64 (log1p.f64 (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
	20.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))) 2) (cbrt.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))))) (/.f64 a (.f64 b 3)))
	19.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t -1/3))) 3))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
	20.1b	(-.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)))
	28.0b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (.f64 2 (sqrt.f64 x)))) 3) (/.f64 a (*.f64 b 3)))
	23.7b	(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
	23.7b	(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
	20.3b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (pow.f64 (cbrt.f64 (.f64 t -1/3)) 3) y))) (/.f64 (*.f64 a -1/3) b))
✓	27.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 1/3 t)))) (/.f64 a (*.f64 b 3)))
▶	35.1b	(*.f64 -1/3 (/.f64 a b))
	27.9b	(-.f64 (expm1.f64 (log1p.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))))) (/.f64 a (.f64 b 3)))
	16.5b	(fma.f64 (cbrt.f64 (.f64 x 4)) (.f64 (cbrt.f64 (.f64 2 (sqrt.f64 x))) (cos.f64 y)) (.f64 a (neg.f64 (/.f64 1/3 b))))
	32.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) y)) 1)) (/.f64 a (*.f64 b 3)))
	27.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (.f64 z 1/3)))) (/.f64 a (*.f64 b 3)))
	20.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (.f64 (cos.f64 (.f64 z (.f64 t -1/3))) 1)) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (.f64 b 3)))
	20.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 z 3) t)))) (/.f64 a (.f64 b 3)))
	20.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))))) (/.f64 a (.f64 b 3)))
	25.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (expm1.f64 (log1p.f64 (.f64 z (.f64 t -1/3)))))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
	40.5b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (pow.f64 (pow.f64 (.f64 t -1/3) 3) 1/3) y))) (/.f64 (*.f64 a -1/3) b))
▶	40.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (exp.f64 (log.f64 (/.f64 (/.f64 a 3) b))))
	28.5b	(-.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) 1) (/.f64 a (*.f64 b 3)))
	27.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z)))) (/.f64 a (*.f64 b 3)))
	27.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (expm1.f64 (cos.f64 (.f64 t (.f64 z 1/3)))))) (/.f64 a (*.f64 b 3)))
✓	20.1b	(-.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)))
	32.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 -1 (+.f64 0 (.f64 (sin.f64 (.f64 t (.f64 z 1/3))) y))) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))) (/.f64 a (*.f64 b 3)))
	20.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (sqrt.f64 (pow.f64 (cos.f64 (.f64 z (.f64 t -1/3))) 2))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
▶	62.2b	(log.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))))
	35.1b	(-.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (.f64 2 (sqrt.f64 x))))) 1) (/.f64 a (*.f64 b 3)))
	37.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (sqrt.f64 (.f64 1/3 t)) 2)))) (/.f64 a (*.f64 b 3)))
	16.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1/3 b) a))
	39.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (exp.f64 (log.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
	27.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (cbrt.f64 (.f64 1/3 t)) 3)))) (/.f64 a (*.f64 b 3)))
	38.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (pow.f64 (.f64 1/3 t) 3) 1/3)))) (/.f64 a (*.f64 b 3)))
	20.2b	(-.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)))
	34.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 t (.f64 z 1/3))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 t (.f64 z 1/3))))) (sin.f64 1)))) (/.f64 a (*.f64 b 3)))
	24.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))))) (/.f64 a (.f64 b 3)))
	37.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 -1 (.f64 (fma.f64 1/162 (pow.f64 (.f64 t z) 3) (.f64 -1/3 (.f64 t z))) y)) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))) (/.f64 a (.f64 b 3)))
	20.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2) (cbrt.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (.f64 b 3)))
	16.5b	(fma.f64 (.f64 (cos.f64 y) (cbrt.f64 (.f64 x 4))) (cbrt.f64 (.f64 2 (sqrt.f64 x))) (.f64 a (neg.f64 (/.f64 1/3 b))))
	27.1b	(-.f64 (exp.f64 (log.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) (/.f64 a (*.f64 b 3)))
	20.1b	(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (fma.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (cos.f64 y) (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (neg.f64 (sin.f64 y)))))) (/.f64 a (.f64 b 3)))
	39.7b	(cbrt.f64 (pow.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 3))
	34.7b	(-.f64 (exp.f64 (log.f64 (.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (.f64 2 (sqrt.f64 x))))) (/.f64 a (*.f64 b 3)))
	24.4b	(-.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)))
	35.5b	(pow.f64 (sqrt.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))) 2)
	34.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 -1 (expm1.f64 (log1p.f64 (.f64 (sin.f64 (.f64 t (.f64 z 1/3))) y)))) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))) (/.f64 a (*.f64 b 3)))
	35.2b	(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 a (*.f64 b 3)))
▶	36.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (expm1.f64 (log1p.f64 (.f64 t (.f64 z 1/3)))))) y)) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))) (/.f64 a (*.f64 b 3)))
	36.3b	(fma.f64 (sqrt.f64 x) (.f64 2 (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 z (.f64 t -1/3) y)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 z (.f64 t -1/3) y)))) (sin.f64 1)))) (/.f64 (.f64 a -1/3) b))
	20.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (cbrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
	16.9b	(pow.f64 (cbrt.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))) 3)
	22.6b	(-.f64 (expm1.f64 (log1p.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) (/.f64 a (*.f64 b 3)))
	20.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))) 3)) (/.f64 a (.f64 b 3)))
	52.5b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (exp.f64 (log.f64 (.f64 t -1/3))) y))) (/.f64 (*.f64 a -1/3) b))
	20.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3))) (.f64 (sin.f64 y) (sin.f64 (.f64 t (.f64 z -1/3)))))) (/.f64 a (*.f64 b 3)))
	50.3b	(pow.f64 (pow.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 3) 1/3)
	36.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/3 t))) 3))))) (/.f64 a (.f64 b 3)))
	39.9b	(-.f64 (pow.f64 (pow.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))) 3) 1/3) (/.f64 a (.f64 b 3)))
	20.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) 1) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
	28.3b	(/.f64 (-.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2)) (pow.f64 (.f64 a (neg.f64 (/.f64 1/3 b))) 2)) (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (neg.f64 (/.f64 1/3 b)))))
	62.2b	(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (/.f64 1/3 b)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (/.f64 1/3 b)))))))
	25.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3))) (.f64 (sin.f64 y) (sin.f64 (expm1.f64 (log1p.f64 (.f64 z (.f64 t -1/3)))))))) (/.f64 a (*.f64 b 3)))
	28.4b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 2/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 (cos.f64 y) (+.f64 2 (.f64 (.f64 (.f64 t z) (.f64 t z)) -1/9))))) (/.f64 a (.f64 b 3)))
	20.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (/.f64 (/.f64 3 z) t) -1)))) (/.f64 a (*.f64 b 3)))
	62.2b	(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (/.f64 1/3 b))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (/.f64 1/3 b)))))))
	19.9b	(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2))) (/.f64 a (*.f64 b 3)))
▶	16.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 (/.f64 a 3) b) 1))
	60.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) y)) (cos.f64 (neg.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 t (.f64 z 1/3))))) (sqrt.f64 (log.f64 (.f64 t (.f64 z 1/3))))))))) (/.f64 a (*.f64 b 3)))

Compiler

Compiled 4021 to 3120 computations (22.4% saved)

localize25.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 58 to 35 computations (39.7% saved)

series6.0ms (0%)

Counts

2 → 61

Calls

18 calls:

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

rewrite131.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 218

Calls

Call 1

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

Outputs

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

simplify82.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

279 → 235

Calls

Call 1

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

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

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 10 computations (41.2% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite55.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

20 → 20

Calls

Call 1

Inputs

Outputs

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (sqrt.f64 x) (cos.f64 y))
✓	0.2b	(*.f64 a (/.f64 1/3 b))
✓	0.3b	(/.f64 1/3 b)
✓	6.0b	(log.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))))

Compiler

Compiled 78 to 39 computations (50% saved)

series12.0ms (0.1%)

Counts

4 → 73

Calls

27 calls:

Time	Variable		Point	Expression
2.0ms	b	@	-inf	(log.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))))
1.0ms	x	@	0	(log.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))))
1.0ms	x	@	-inf	(*.f64 (sqrt.f64 x) (cos.f64 y))
0.0ms	x	@	-inf	(log.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))))
0.0ms	x	@	inf	(*.f64 (sqrt.f64 x) (cos.f64 y))

rewrite124.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 257

Calls

Call 1

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

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

simplify72.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

330 → 282

Calls

Call 1

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

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

localize51.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
✓	2.4b	(exp.f64 (log.f64 (/.f64 (/.f64 a 3) b)))
✓	9.2b	(log.f64 (/.f64 (/.f64 a 3) b))
	22.8b	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))

Compiler

Compiled 98 to 55 computations (43.9% saved)

series136.0ms (0.7%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
46.0ms	b	@	0	(log.f64 (/.f64 (/.f64 a 3) b))
38.0ms	a	@	0	(log.f64 (/.f64 (/.f64 a 3) b))
16.0ms	b	@	-inf	(log.f64 (/.f64 (/.f64 a 3) b))
16.0ms	a	@	-inf	(log.f64 (/.f64 (/.f64 a 3) b))
10.0ms	b	@	inf	(log.f64 (/.f64 (/.f64 a 3) b))

rewrite71.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

805×	`pow1_binary64`
753×	`add-log-exp_binary64`
753×	`log1p-expm1-u_binary64`
753×	`expm1-log1p-u_binary64`
739×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	160	16
2	2006	16

Stop Event

1×	node limit

Counts

2 → 91

Calls

Call 1

Inputs
(log.f64 (/.f64 (/.f64 a 3) b))
(exp.f64 (log.f64 (/.f64 (/.f64 a 3) b)))

Outputs

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

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

simplify126.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

926×	`fma-neg_binary64`
369×	`fma-def_binary64`
223×	`cancel-sign-sub-inv_binary64`
217×	`distribute-rgt-in_binary64`
162×	`associate--r+_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	464
1	67	456
2	114	456
3	289	456
4	737	456
5	1443	456
6	2489	456
7	3216	456
8	3451	456
9	3478	456
10	3478	456

Stop Event

1×

saturated

Counts

139 → 101

Calls

Call 1

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

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

localize97.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	3.4b	(.f64 (sin.f64 (neg.f64 (expm1.f64 (log1p.f64 (.f64 t (*.f64 z 1/3)))))) y)
✓	4.4b	(log1p.f64 (.f64 t (.f64 z 1/3)))
✓	13.6b	(sin.f64 (neg.f64 (expm1.f64 (log1p.f64 (.f64 t (.f64 z 1/3))))))
	27.8b	(cos.f64 (neg.f64 (.f64 1/3 (.f64 t z))))

Compiler

Compiled 192 to 128 computations (33.3% saved)

series10.0ms (0%)

Counts

3 → 84

Calls

21 calls:

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

rewrite67.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

972×	`pow1_binary64`
894×	`add-log-exp_binary64`
894×	`expm1-log1p-u_binary64`
893×	`log1p-expm1-u_binary64`
111×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	34
1	225	30
2	2702	30

Stop Event

1×	node limit

Counts

3 → 52

Calls

Call 1

Inputs
(sin.f64 (neg.f64 (expm1.f64 (log1p.f64 (.f64 t (.f64 z 1/3))))))
(log1p.f64 (.f64 t (.f64 z 1/3)))
(.f64 (sin.f64 (neg.f64 (expm1.f64 (log1p.f64 (.f64 t (*.f64 z 1/3)))))) y)

Outputs

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

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

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

simplify89.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

748×	`fma-def_binary64`
680×	`fma-neg_binary64`
505×	`associate-l_binary64`
445×	`associate-r_binary64`
406×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	128	1699
1	398	1664
2	1318	1638
3	5657	1638

Stop Event

1×	node limit

Counts

136 → 108

Calls

Call 1

Inputs
(.f64 -1/3 (.f64 t z))
(+.f64 (.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (.f64 -1/3 (.f64 t z)))
(+.f64 (.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (+.f64 (.f64 -1/3 (.f64 t z)) (.f64 -1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)))))
(+.f64 (.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (+.f64 (.f64 1/11022480 (.f64 (pow.f64 t 7) (pow.f64 z 7))) (+.f64 (.f64 -1/3 (.f64 t z)) (.f64 -1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5))))))
(sin.f64 (neg.f64 (.f64 1/3 (.f64 t z))))
(sin.f64 (neg.f64 (.f64 1/3 (.f64 t z))))
(sin.f64 (neg.f64 (.f64 1/3 (.f64 t z))))
(sin.f64 (neg.f64 (.f64 1/3 (.f64 t z))))
(sin.f64 (neg.f64 (.f64 1/3 (.f64 t z))))
(sin.f64 (neg.f64 (.f64 1/3 (.f64 t z))))
(sin.f64 (neg.f64 (.f64 1/3 (.f64 t z))))
(sin.f64 (neg.f64 (.f64 1/3 (.f64 t z))))
(.f64 -1/3 (.f64 t z))
(+.f64 (.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (.f64 -1/3 (.f64 t z)))
(+.f64 (.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (+.f64 (.f64 -1/3 (.f64 t z)) (.f64 -1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5)))))
(+.f64 (.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (+.f64 (.f64 1/11022480 (.f64 (pow.f64 t 7) (pow.f64 z 7))) (+.f64 (.f64 -1/3 (.f64 t z)) (.f64 -1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5))))))
(sin.f64 (neg.f64 (.f64 1/3 (.f64 t z))))
(sin.f64 (neg.f64 (.f64 1/3 (.f64 t z))))
(sin.f64 (neg.f64 (.f64 1/3 (.f64 t z))))
(sin.f64 (neg.f64 (.f64 1/3 (.f64 t z))))
(sin.f64 (neg.f64 (.f64 1/3 (.f64 t z))))
(sin.f64 (neg.f64 (.f64 1/3 (.f64 t z))))
(sin.f64 (neg.f64 (.f64 1/3 (.f64 t z))))
(sin.f64 (neg.f64 (.f64 1/3 (.f64 t z))))
(.f64 1/3 (.f64 t z))
(+.f64 (.f64 1/3 (.f64 t z)) (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 (.f64 1/81 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (+.f64 (.f64 1/3 (.f64 t z)) (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2)))))
(+.f64 (.f64 1/81 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (+.f64 (.f64 1/3 (.f64 t z)) (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (.f64 -1/324 (.f64 (pow.f64 t 4) (pow.f64 z 4))))))
(+.f64 (log.f64 (.f64 1/3 z)) (.f64 -1 (log.f64 (/.f64 1 t))))
(+.f64 (.f64 3 (/.f64 1 (.f64 t z))) (+.f64 (log.f64 (.f64 1/3 z)) (.f64 -1 (log.f64 (/.f64 1 t)))))
(-.f64 (+.f64 (log.f64 (.f64 1/3 z)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 t))) (.f64 3 (/.f64 1 (.f64 t z))))) (.f64 9/2 (/.f64 1 (.f64 (pow.f64 t 2) (pow.f64 z 2)))))
(-.f64 (+.f64 (log.f64 (.f64 1/3 z)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 t))) (+.f64 (.f64 3 (/.f64 1 (.f64 t z))) (.f64 9 (/.f64 1 (.f64 (pow.f64 t 3) (pow.f64 z 3))))))) (.f64 9/2 (/.f64 1 (.f64 (pow.f64 t 2) (pow.f64 z 2)))))
(+.f64 (log.f64 (.f64 -1/3 z)) (.f64 -1 (log.f64 (/.f64 -1 t))))
(+.f64 (.f64 3 (/.f64 1 (.f64 t z))) (+.f64 (log.f64 (.f64 -1/3 z)) (.f64 -1 (log.f64 (/.f64 -1 t)))))
(-.f64 (+.f64 (log.f64 (.f64 -1/3 z)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 t))) (.f64 3 (/.f64 1 (.f64 t z))))) (.f64 9/2 (/.f64 1 (.f64 (pow.f64 t 2) (pow.f64 z 2)))))
(-.f64 (+.f64 (log.f64 (.f64 -1/3 z)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 t))) (+.f64 (.f64 3 (/.f64 1 (.f64 t z))) (.f64 9 (/.f64 1 (.f64 (pow.f64 t 3) (pow.f64 z 3))))))) (.f64 9/2 (/.f64 1 (.f64 (pow.f64 t 2) (pow.f64 z 2)))))
(.f64 1/3 (.f64 t z))
(+.f64 (.f64 1/3 (.f64 t z)) (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 (.f64 1/81 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (+.f64 (.f64 1/3 (.f64 t z)) (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2)))))
(+.f64 (.f64 1/81 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (+.f64 (.f64 1/3 (.f64 t z)) (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (.f64 -1/324 (.f64 (pow.f64 t 4) (pow.f64 z 4))))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (.f64 1/3 t)))
(+.f64 (.f64 3 (/.f64 1 (.f64 t z))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (.f64 1/3 t))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (+.f64 (log.f64 (.f64 1/3 t)) (.f64 3 (/.f64 1 (.f64 t z))))) (.f64 9/2 (/.f64 1 (.f64 (pow.f64 t 2) (pow.f64 z 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (+.f64 (log.f64 (.f64 1/3 t)) (+.f64 (.f64 3 (/.f64 1 (.f64 t z))) (.f64 9 (/.f64 1 (.f64 (pow.f64 t 3) (pow.f64 z 3))))))) (.f64 9/2 (/.f64 1 (.f64 (pow.f64 t 2) (pow.f64 z 2)))))
(+.f64 (log.f64 (.f64 -1/3 t)) (.f64 -1 (log.f64 (/.f64 -1 z))))
(+.f64 (.f64 3 (/.f64 1 (.f64 t z))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (.f64 -1/3 t))))
(-.f64 (+.f64 (.f64 3 (/.f64 1 (.f64 t z))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (.f64 -1/3 t)))) (.f64 9/2 (/.f64 1 (.f64 (pow.f64 t 2) (pow.f64 z 2)))))
(-.f64 (+.f64 (.f64 3 (/.f64 1 (.f64 t z))) (+.f64 (.f64 9 (/.f64 1 (.f64 (pow.f64 t 3) (pow.f64 z 3)))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (.f64 -1/3 t))))) (.f64 9/2 (/.f64 1 (.f64 (pow.f64 t 2) (pow.f64 z 2)))))
(.f64 -1/3 (.f64 y (*.f64 t z)))
(+.f64 (.f64 1/162 (.f64 y (.f64 (pow.f64 t 3) (pow.f64 z 3)))) (.f64 -1/3 (.f64 y (.f64 t z))))
(+.f64 (.f64 1/162 (.f64 y (.f64 (pow.f64 t 3) (pow.f64 z 3)))) (+.f64 (.f64 -1/29160 (.f64 y (.f64 (pow.f64 t 5) (pow.f64 z 5)))) (.f64 -1/3 (.f64 y (*.f64 t z)))))
(+.f64 (.f64 1/11022480 (.f64 y (.f64 (pow.f64 t 7) (pow.f64 z 7)))) (+.f64 (.f64 1/162 (.f64 y (.f64 (pow.f64 t 3) (pow.f64 z 3)))) (+.f64 (.f64 -1/29160 (.f64 y (.f64 (pow.f64 t 5) (pow.f64 z 5)))) (.f64 -1/3 (.f64 y (.f64 t z))))))
(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)
(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)
(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)
(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)
(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)
(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)
(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)
(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)
(.f64 -1/3 (.f64 y (*.f64 t z)))
(+.f64 (.f64 1/162 (.f64 y (.f64 (pow.f64 t 3) (pow.f64 z 3)))) (.f64 -1/3 (.f64 y (.f64 t z))))
(+.f64 (.f64 1/162 (.f64 y (.f64 (pow.f64 t 3) (pow.f64 z 3)))) (+.f64 (.f64 -1/29160 (.f64 y (.f64 (pow.f64 t 5) (pow.f64 z 5)))) (.f64 -1/3 (.f64 y (*.f64 t z)))))
(+.f64 (.f64 1/11022480 (.f64 y (.f64 (pow.f64 t 7) (pow.f64 z 7)))) (+.f64 (.f64 1/162 (.f64 y (.f64 (pow.f64 t 3) (pow.f64 z 3)))) (+.f64 (.f64 -1/29160 (.f64 y (.f64 (pow.f64 t 5) (pow.f64 z 5)))) (.f64 -1/3 (.f64 y (.f64 t z))))))
(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)
(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)
(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)
(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)
(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)
(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)
(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)
(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)
(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)
(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)
(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)
(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)
(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)
(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)
(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)
(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)
(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)
(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)
(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)
(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)

Outputs
(.f64 -1/3 (.f64 t z))
(.f64 t (.f64 -1/3 z))
(+.f64 (.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (.f64 -1/3 (.f64 t z)))
(fma.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)) (.f64 -1/3 (*.f64 t z)))
(fma.f64 -1/3 (.f64 t z) (.f64 (pow.f64 z 3) (*.f64 1/162 (pow.f64 t 3))))
(fma.f64 -1/3 (.f64 t z) (.f64 1/162 (*.f64 (pow.f64 t 3) (pow.f64 z 3))))
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(+.f64 (log.f64 (.f64 z 1/3)) (+.f64 (log.f64 t) (-.f64 (/.f64 (/.f64 3 t) z) (/.f64 9/2 (.f64 t (.f64 t (.f64 z z)))))))
(+.f64 (log.f64 t) (+.f64 (/.f64 3 (.f64 t z)) (+.f64 (log.f64 (.f64 z 1/3)) (/.f64 (/.f64 -9/2 (.f64 t t)) (.f64 z z)))))
(+.f64 (log.f64 t) (+.f64 (/.f64 3 (.f64 t z)) (+.f64 (log.f64 (.f64 z 1/3)) (/.f64 (/.f64 -9/2 z) (.f64 t (.f64 t z))))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (+.f64 (log.f64 (.f64 1/3 t)) (+.f64 (.f64 3 (/.f64 1 (.f64 t z))) (.f64 9 (/.f64 1 (.f64 (pow.f64 t 3) (pow.f64 z 3))))))) (.f64 9/2 (/.f64 1 (.f64 (pow.f64 t 2) (pow.f64 z 2)))))
(+.f64 (log.f64 (.f64 z 1/3)) (-.f64 (+.f64 (fma.f64 -1 (neg.f64 (log.f64 t)) (/.f64 3 (.f64 t z))) (/.f64 9 (.f64 (pow.f64 t 3) (pow.f64 z 3)))) (/.f64 9/2 (.f64 (.f64 t t) (.f64 z z)))))
(+.f64 (+.f64 (/.f64 (/.f64 3 t) z) (+.f64 (log.f64 t) (/.f64 9 (.f64 (pow.f64 t 3) (pow.f64 z 3))))) (-.f64 (log.f64 (.f64 z 1/3)) (/.f64 9/2 (.f64 t (.f64 t (*.f64 z z))))))
(+.f64 (+.f64 (/.f64 3 (.f64 t z)) (/.f64 (/.f64 9 (pow.f64 t 3)) (pow.f64 z 3))) (+.f64 (log.f64 (.f64 t 1/3)) (+.f64 (log.f64 z) (/.f64 (/.f64 -9/2 (.f64 t t)) (.f64 z z)))))
(+.f64 (log.f64 t) (+.f64 (+.f64 (/.f64 3 (.f64 t z)) (/.f64 (/.f64 9 (pow.f64 t 3)) (pow.f64 z 3))) (+.f64 (log.f64 (.f64 z 1/3)) (/.f64 (/.f64 -9/2 z) (.f64 t (.f64 t z))))))
(+.f64 (log.f64 (.f64 -1/3 t)) (.f64 -1 (log.f64 (/.f64 -1 z))))
(fma.f64 -1 (log.f64 (/.f64 -1 z)) (log.f64 (*.f64 -1/3 t)))
(-.f64 (log.f64 (*.f64 -1/3 t)) (log.f64 (/.f64 -1 z)))
(+.f64 (.f64 3 (/.f64 1 (.f64 t z))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (.f64 -1/3 t))))
(+.f64 (/.f64 3 (.f64 t z)) (fma.f64 -1 (log.f64 (/.f64 -1 z)) (log.f64 (.f64 -1/3 t))))
(+.f64 (log.f64 (*.f64 -1/3 t)) (-.f64 (/.f64 (/.f64 3 t) z) (log.f64 (/.f64 -1 z))))
(+.f64 (/.f64 3 (.f64 t z)) (-.f64 (log.f64 (.f64 -1/3 t)) (log.f64 (/.f64 -1 z))))
(-.f64 (/.f64 3 (.f64 t z)) (-.f64 (log.f64 (/.f64 -1 z)) (log.f64 (.f64 -1/3 t))))
(-.f64 (+.f64 (.f64 3 (/.f64 1 (.f64 t z))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (.f64 -1/3 t)))) (.f64 9/2 (/.f64 1 (.f64 (pow.f64 t 2) (pow.f64 z 2)))))
(+.f64 (/.f64 3 (.f64 t z)) (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 z)) (log.f64 (.f64 -1/3 t))) (/.f64 9/2 (.f64 (.f64 t t) (*.f64 z z)))))
(+.f64 (-.f64 (log.f64 (.f64 -1/3 t)) (log.f64 (/.f64 -1 z))) (-.f64 (/.f64 (/.f64 3 t) z) (/.f64 9/2 (.f64 t (.f64 t (.f64 z z))))))
(-.f64 (/.f64 3 (.f64 t z)) (-.f64 (log.f64 (/.f64 -1 z)) (+.f64 (log.f64 (.f64 -1/3 t)) (/.f64 (/.f64 -9/2 (.f64 t t)) (.f64 z z)))))
(+.f64 (/.f64 3 (.f64 t z)) (-.f64 (+.f64 (log.f64 (.f64 -1/3 t)) (/.f64 (/.f64 -9/2 z) (.f64 t (.f64 t z)))) (log.f64 (/.f64 -1 z))))
(-.f64 (+.f64 (.f64 3 (/.f64 1 (.f64 t z))) (+.f64 (.f64 9 (/.f64 1 (.f64 (pow.f64 t 3) (pow.f64 z 3)))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (.f64 -1/3 t))))) (.f64 9/2 (/.f64 1 (.f64 (pow.f64 t 2) (pow.f64 z 2)))))
(-.f64 (+.f64 (+.f64 (/.f64 3 (.f64 t z)) (/.f64 9 (.f64 (pow.f64 t 3) (pow.f64 z 3)))) (fma.f64 -1 (log.f64 (/.f64 -1 z)) (log.f64 (.f64 -1/3 t)))) (/.f64 9/2 (.f64 (.f64 t t) (.f64 z z))))
(+.f64 (/.f64 (/.f64 3 t) z) (+.f64 (-.f64 (log.f64 (.f64 -1/3 t)) (log.f64 (/.f64 -1 z))) (-.f64 (/.f64 9 (.f64 (pow.f64 t 3) (pow.f64 z 3))) (/.f64 9/2 (.f64 t (.f64 t (*.f64 z z)))))))
(+.f64 (/.f64 3 (.f64 t z)) (-.f64 (/.f64 (/.f64 9 (pow.f64 t 3)) (pow.f64 z 3)) (-.f64 (log.f64 (/.f64 -1 z)) (+.f64 (log.f64 (.f64 -1/3 t)) (/.f64 (/.f64 -9/2 (.f64 t t)) (.f64 z z))))))
(+.f64 (-.f64 (log.f64 (.f64 -1/3 t)) (-.f64 (log.f64 (/.f64 -1 z)) (+.f64 (/.f64 3 (.f64 t z)) (/.f64 (/.f64 9 (pow.f64 t 3)) (pow.f64 z 3))))) (/.f64 (/.f64 -9/2 z) (.f64 t (.f64 t z))))
(.f64 -1/3 (.f64 y (*.f64 t z)))
(.f64 (.f64 -1/3 y) (*.f64 t z))
(.f64 -1/3 (.f64 (*.f64 y z) t))
(.f64 (.f64 t z) (*.f64 -1/3 y))
(.f64 -1/3 (.f64 z (*.f64 t y)))
(+.f64 (.f64 1/162 (.f64 y (.f64 (pow.f64 t 3) (pow.f64 z 3)))) (.f64 -1/3 (.f64 y (.f64 t z))))
(fma.f64 1/162 (.f64 (.f64 (pow.f64 t 3) (pow.f64 z 3)) y) (.f64 (.f64 -1/3 y) (*.f64 t z)))
(fma.f64 -1/3 (.f64 (.f64 y z) t) (.f64 (.f64 (pow.f64 z 3) (*.f64 1/162 (pow.f64 t 3))) y))
(.f64 y (fma.f64 -1/3 (.f64 t z) (.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)))))
(.f64 y (.f64 z (fma.f64 1/162 (.f64 z (.f64 z (pow.f64 t 3))) (*.f64 -1/3 t))))
(+.f64 (.f64 1/162 (.f64 y (.f64 (pow.f64 t 3) (pow.f64 z 3)))) (+.f64 (.f64 -1/29160 (.f64 y (.f64 (pow.f64 t 5) (pow.f64 z 5)))) (.f64 -1/3 (.f64 y (*.f64 t z)))))
(fma.f64 1/162 (.f64 (.f64 (pow.f64 t 3) (pow.f64 z 3)) y) (fma.f64 -1/29160 (.f64 (.f64 y (pow.f64 t 5)) (pow.f64 z 5)) (.f64 (.f64 -1/3 y) (*.f64 t z))))
(fma.f64 1/162 (.f64 (pow.f64 z 3) (.f64 (pow.f64 t 3) y)) (fma.f64 -1/3 (.f64 (.f64 y z) t) (.f64 -1/29160 (.f64 (pow.f64 z 5) (*.f64 (pow.f64 t 5) y)))))
(fma.f64 (.f64 (pow.f64 t 3) (pow.f64 z 3)) (.f64 1/162 y) (.f64 y (fma.f64 -1/3 (.f64 t z) (.f64 -1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5))))))
(fma.f64 -1/3 (.f64 z (.f64 t y)) (.f64 y (fma.f64 (pow.f64 z 3) (.f64 1/162 (pow.f64 t 3)) (.f64 (pow.f64 z 5) (.f64 -1/29160 (pow.f64 t 5))))))
(+.f64 (.f64 1/11022480 (.f64 y (.f64 (pow.f64 t 7) (pow.f64 z 7)))) (+.f64 (.f64 1/162 (.f64 y (.f64 (pow.f64 t 3) (pow.f64 z 3)))) (+.f64 (.f64 -1/29160 (.f64 y (.f64 (pow.f64 t 5) (pow.f64 z 5)))) (.f64 -1/3 (.f64 y (.f64 t z))))))
(fma.f64 1/11022480 (.f64 (.f64 (pow.f64 t 7) (pow.f64 z 7)) y) (fma.f64 1/162 (.f64 (.f64 (pow.f64 t 3) (pow.f64 z 3)) y) (fma.f64 -1/29160 (.f64 (.f64 y (pow.f64 t 5)) (pow.f64 z 5)) (.f64 (.f64 -1/3 y) (*.f64 t z)))))
(fma.f64 1/11022480 (.f64 (pow.f64 z 7) (.f64 (pow.f64 t 7) y)) (fma.f64 1/162 (.f64 (pow.f64 z 3) (.f64 (pow.f64 t 3) y)) (fma.f64 -1/3 (.f64 (.f64 y z) t) (.f64 -1/29160 (.f64 (pow.f64 z 5) (*.f64 (pow.f64 t 5) y))))))
(+.f64 (.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 y (fma.f64 1/11022480 (.f64 (pow.f64 t 7) (pow.f64 z 7)) (.f64 -1/3 (.f64 t z)))))
(+.f64 (.f64 y (fma.f64 (pow.f64 z 3) (.f64 1/162 (pow.f64 t 3)) (.f64 (pow.f64 z 5) (.f64 -1/29160 (pow.f64 t 5))))) (.f64 y (fma.f64 -1/3 (.f64 t z) (.f64 (pow.f64 t 7) (.f64 1/11022480 (pow.f64 z 7))))))
(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)
(.f64 (sin.f64 (.f64 -1/3 (*.f64 t z))) y)
(.f64 (sin.f64 (.f64 t (*.f64 -1/3 z))) y)
(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)
(.f64 (sin.f64 (.f64 -1/3 (*.f64 t z))) y)
(.f64 (sin.f64 (.f64 t (*.f64 -1/3 z))) y)
(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)
(.f64 (sin.f64 (.f64 -1/3 (*.f64 t z))) y)
(.f64 (sin.f64 (.f64 t (*.f64 -1/3 z))) y)
(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)
(.f64 (sin.f64 (.f64 -1/3 (*.f64 t z))) y)
(.f64 (sin.f64 (.f64 t (*.f64 -1/3 z))) y)
(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)
(.f64 (sin.f64 (.f64 -1/3 (*.f64 t z))) y)
(.f64 (sin.f64 (.f64 t (*.f64 -1/3 z))) y)
(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)
(.f64 (sin.f64 (.f64 -1/3 (*.f64 t z))) y)
(.f64 (sin.f64 (.f64 t (*.f64 -1/3 z))) y)
(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)
(.f64 (sin.f64 (.f64 -1/3 (*.f64 t z))) y)
(.f64 (sin.f64 (.f64 t (*.f64 -1/3 z))) y)
(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)
(.f64 (sin.f64 (.f64 -1/3 (*.f64 t z))) y)
(.f64 (sin.f64 (.f64 t (*.f64 -1/3 z))) y)
(.f64 -1/3 (.f64 y (*.f64 t z)))
(.f64 (.f64 -1/3 y) (*.f64 t z))
(.f64 -1/3 (.f64 (*.f64 y z) t))
(.f64 (.f64 t z) (*.f64 -1/3 y))
(.f64 -1/3 (.f64 z (*.f64 t y)))
(+.f64 (.f64 1/162 (.f64 y (.f64 (pow.f64 t 3) (pow.f64 z 3)))) (.f64 -1/3 (.f64 y (.f64 t z))))
(fma.f64 1/162 (.f64 (.f64 (pow.f64 t 3) (pow.f64 z 3)) y) (.f64 (.f64 -1/3 y) (*.f64 t z)))
(fma.f64 -1/3 (.f64 (.f64 y z) t) (.f64 (.f64 (pow.f64 z 3) (*.f64 1/162 (pow.f64 t 3))) y))
(.f64 y (fma.f64 -1/3 (.f64 t z) (.f64 1/162 (.f64 (pow.f64 t 3) (pow.f64 z 3)))))
(.f64 y (.f64 z (fma.f64 1/162 (.f64 z (.f64 z (pow.f64 t 3))) (*.f64 -1/3 t))))
(+.f64 (.f64 1/162 (.f64 y (.f64 (pow.f64 t 3) (pow.f64 z 3)))) (+.f64 (.f64 -1/29160 (.f64 y (.f64 (pow.f64 t 5) (pow.f64 z 5)))) (.f64 -1/3 (.f64 y (*.f64 t z)))))
(fma.f64 1/162 (.f64 (.f64 (pow.f64 t 3) (pow.f64 z 3)) y) (fma.f64 -1/29160 (.f64 (.f64 y (pow.f64 t 5)) (pow.f64 z 5)) (.f64 (.f64 -1/3 y) (*.f64 t z))))
(fma.f64 1/162 (.f64 (pow.f64 z 3) (.f64 (pow.f64 t 3) y)) (fma.f64 -1/3 (.f64 (.f64 y z) t) (.f64 -1/29160 (.f64 (pow.f64 z 5) (*.f64 (pow.f64 t 5) y)))))
(fma.f64 (.f64 (pow.f64 t 3) (pow.f64 z 3)) (.f64 1/162 y) (.f64 y (fma.f64 -1/3 (.f64 t z) (.f64 -1/29160 (.f64 (pow.f64 t 5) (pow.f64 z 5))))))
(fma.f64 -1/3 (.f64 z (.f64 t y)) (.f64 y (fma.f64 (pow.f64 z 3) (.f64 1/162 (pow.f64 t 3)) (.f64 (pow.f64 z 5) (.f64 -1/29160 (pow.f64 t 5))))))
(+.f64 (.f64 1/11022480 (.f64 y (.f64 (pow.f64 t 7) (pow.f64 z 7)))) (+.f64 (.f64 1/162 (.f64 y (.f64 (pow.f64 t 3) (pow.f64 z 3)))) (+.f64 (.f64 -1/29160 (.f64 y (.f64 (pow.f64 t 5) (pow.f64 z 5)))) (.f64 -1/3 (.f64 y (.f64 t z))))))
(fma.f64 1/11022480 (.f64 (.f64 (pow.f64 t 7) (pow.f64 z 7)) y) (fma.f64 1/162 (.f64 (.f64 (pow.f64 t 3) (pow.f64 z 3)) y) (fma.f64 -1/29160 (.f64 (.f64 y (pow.f64 t 5)) (pow.f64 z 5)) (.f64 (.f64 -1/3 y) (*.f64 t z)))))
(fma.f64 1/11022480 (.f64 (pow.f64 z 7) (.f64 (pow.f64 t 7) y)) (fma.f64 1/162 (.f64 (pow.f64 z 3) (.f64 (pow.f64 t 3) y)) (fma.f64 -1/3 (.f64 (.f64 y z) t) (.f64 -1/29160 (.f64 (pow.f64 z 5) (*.f64 (pow.f64 t 5) y))))))
(+.f64 (.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 y (fma.f64 1/11022480 (.f64 (pow.f64 t 7) (pow.f64 z 7)) (.f64 -1/3 (.f64 t z)))))
(+.f64 (.f64 y (fma.f64 (pow.f64 z 3) (.f64 1/162 (pow.f64 t 3)) (.f64 (pow.f64 z 5) (.f64 -1/29160 (pow.f64 t 5))))) (.f64 y (fma.f64 -1/3 (.f64 t z) (.f64 (pow.f64 t 7) (.f64 1/11022480 (pow.f64 z 7))))))
(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)
(.f64 (sin.f64 (.f64 -1/3 (*.f64 t z))) y)
(.f64 (sin.f64 (.f64 t (*.f64 -1/3 z))) y)
(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)
(.f64 (sin.f64 (.f64 -1/3 (*.f64 t z))) y)
(.f64 (sin.f64 (.f64 t (*.f64 -1/3 z))) y)
(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)
(.f64 (sin.f64 (.f64 -1/3 (*.f64 t z))) y)
(.f64 (sin.f64 (.f64 t (*.f64 -1/3 z))) y)
(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)
(.f64 (sin.f64 (.f64 -1/3 (*.f64 t z))) y)
(.f64 (sin.f64 (.f64 t (*.f64 -1/3 z))) y)
(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)
(.f64 (sin.f64 (.f64 -1/3 (*.f64 t z))) y)
(.f64 (sin.f64 (.f64 t (*.f64 -1/3 z))) y)
(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)
(.f64 (sin.f64 (.f64 -1/3 (*.f64 t z))) y)
(.f64 (sin.f64 (.f64 t (*.f64 -1/3 z))) y)
(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)
(.f64 (sin.f64 (.f64 -1/3 (*.f64 t z))) y)
(.f64 (sin.f64 (.f64 t (*.f64 -1/3 z))) y)
(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)
(.f64 (sin.f64 (.f64 -1/3 (*.f64 t z))) y)
(.f64 (sin.f64 (.f64 t (*.f64 -1/3 z))) y)
(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)
(.f64 (sin.f64 (.f64 -1/3 (*.f64 t z))) y)
(.f64 (sin.f64 (.f64 t (*.f64 -1/3 z))) y)
(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)
(.f64 (sin.f64 (.f64 -1/3 (*.f64 t z))) y)
(.f64 (sin.f64 (.f64 t (*.f64 -1/3 z))) y)
(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)
(.f64 (sin.f64 (.f64 -1/3 (*.f64 t z))) y)
(.f64 (sin.f64 (.f64 t (*.f64 -1/3 z))) y)
(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)
(.f64 (sin.f64 (.f64 -1/3 (*.f64 t z))) y)
(.f64 (sin.f64 (.f64 t (*.f64 -1/3 z))) y)
(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)
(.f64 (sin.f64 (.f64 -1/3 (*.f64 t z))) y)
(.f64 (sin.f64 (.f64 t (*.f64 -1/3 z))) y)
(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)
(.f64 (sin.f64 (.f64 -1/3 (*.f64 t z))) y)
(.f64 (sin.f64 (.f64 t (*.f64 -1/3 z))) y)
(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)
(.f64 (sin.f64 (.f64 -1/3 (*.f64 t z))) y)
(.f64 (sin.f64 (.f64 t (*.f64 -1/3 z))) y)
(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)
(.f64 (sin.f64 (.f64 -1/3 (*.f64 t z))) y)
(.f64 (sin.f64 (.f64 t (*.f64 -1/3 z))) y)
(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)
(.f64 (sin.f64 (.f64 -1/3 (*.f64 t z))) y)
(.f64 (sin.f64 (.f64 t (*.f64 -1/3 z))) y)
(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)
(.f64 (sin.f64 (.f64 -1/3 (*.f64 t z))) y)
(.f64 (sin.f64 (.f64 t (*.f64 -1/3 z))) y)
(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)
(.f64 (sin.f64 (.f64 -1/3 (*.f64 t z))) y)
(.f64 (sin.f64 (.f64 t (*.f64 -1/3 z))) y)
(.f64 (sin.f64 (neg.f64 (.f64 1/3 (*.f64 t z)))) y)
(.f64 (sin.f64 (.f64 -1/3 (*.f64 t z))) y)
(.f64 (sin.f64 (.f64 t (*.f64 -1/3 z))) y)

eval814.0ms (4%)

Compiler: Compiled 25280 to 15989 computations (36.8% saved)

prune571.0ms (2.8%)

Pruning

84 alts after pruning (79 fresh and 5 done)

	Pruned	Kept	Total
New	883	24	907
Fresh	9	55	64
Picked	1	0	1
Done	1	5	6
Total	894	84	978

Error

13.6b

Counts

978 → 84

Alt Table

Click to see full alt table

Status	Error	Program
	16.4b	(fma.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)) (*.f64 a (/.f64 -1/3 b)))
	40.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 a (.f64 3 b))) 3))))
	28.2b	(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 (.f64 t (.f64 z 1/3))) 2))) (/.f64 a (*.f64 b 3)))
	32.7b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (cos.f64 y) (+.f64 2 (.f64 -1/9 (.f64 t (.f64 t (.f64 z z)))))) (.f64 (.f64 z (sin.f64 y)) (.f64 t 2/3)))) (/.f64 a (.f64 b 3)))
	35.8b	(-.f64 (.f64 (sqrt.f64 x) (fma.f64 (pow.f64 (.f64 t z) 2) -1/9 2)) (/.f64 a (*.f64 b 3)))
	35.2b	(/.f64 (*.f64 -1/3 a) b)
▶	27.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (expm1.f64 (log1p.f64 (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
	19.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t -1/3))) 3))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
	16.5b	(fma.f64 (.f64 (cos.f64 y) (cbrt.f64 (.f64 x 4))) (cbrt.f64 (sqrt.f64 (.f64 x 4))) (/.f64 (.f64 a -1/3) b))
	20.1b	(-.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)))
	28.0b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (.f64 2 (sqrt.f64 x)))) 3) (/.f64 a (*.f64 b 3)))
	23.7b	(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
	23.7b	(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
	20.3b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (pow.f64 (cbrt.f64 (.f64 t -1/3)) 3) y))) (/.f64 (*.f64 a -1/3) b))
✓	27.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 1/3 t)))) (/.f64 a (*.f64 b 3)))
✓	35.1b	(*.f64 -1/3 (/.f64 a b))
	27.9b	(-.f64 (expm1.f64 (log1p.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))))) (/.f64 a (.f64 b 3)))
	35.2b	(/.f64 1 (/.f64 b (*.f64 -1/3 a)))
	27.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (.f64 z 1/3)))) (/.f64 a (*.f64 b 3)))
	20.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (.f64 (cos.f64 (.f64 z (.f64 t -1/3))) 1)) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (.f64 b 3)))
▶	40.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (pow.f64 (exp.f64 1) (log.f64 (/.f64 a (.f64 3 b)))))
	20.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 z 3) t)))) (/.f64 a (.f64 b 3)))
	40.5b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (pow.f64 (pow.f64 (.f64 t -1/3) 3) 1/3) y))) (/.f64 (*.f64 a -1/3) b))
✓	40.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (exp.f64 (log.f64 (/.f64 (/.f64 a 3) b))))
	28.5b	(-.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) 1) (/.f64 a (*.f64 b 3)))
	25.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (expm1.f64 (log1p.f64 (.f64 z (.f64 t -1/3)))))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
	27.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z)))) (/.f64 a (*.f64 b 3)))
	27.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (expm1.f64 (cos.f64 (.f64 t (.f64 z 1/3)))))) (/.f64 a (*.f64 b 3)))
✓	20.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
	35.5b	(pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 3)
	32.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 -1 (+.f64 0 (.f64 (sin.f64 (.f64 t (.f64 z 1/3))) y))) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))) (/.f64 a (*.f64 b 3)))
	20.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (sqrt.f64 (pow.f64 (cos.f64 (.f64 z (.f64 t -1/3))) 2))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
	37.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (sqrt.f64 (.f64 1/3 t)) 2)))) (/.f64 a (*.f64 b 3)))
	16.4b	(.f64 3 (.f64 1/3 (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 -1/3 b)))))
	58.4b	(pow.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3) 1/3)
	35.2b	(/.f64 -1/3 (/.f64 b a))
✓	62.2b	(log.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))))
	35.1b	(-.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (.f64 2 (sqrt.f64 x))))) 1) (/.f64 a (*.f64 b 3)))
▶	16.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1/3 b) a))
	35.1b	(/.f64 a (/.f64 b -1/3))
	39.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (exp.f64 (log.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
	27.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (cbrt.f64 (.f64 1/3 t)) 3)))) (/.f64 a (*.f64 b 3)))
	38.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (pow.f64 (.f64 1/3 t) 3) 1/3)))) (/.f64 a (*.f64 b 3)))
	20.2b	(-.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)))
	38.5b	(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 a b))) 1)
	34.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 t (.f64 z 1/3))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 t (.f64 z 1/3))))) (sin.f64 1)))) (/.f64 a (*.f64 b 3)))
	24.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))))) (/.f64 a (.f64 b 3)))
	37.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 -1 (.f64 (fma.f64 1/162 (pow.f64 (.f64 t z) 3) (.f64 -1/3 (.f64 t z))) y)) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))) (/.f64 a (.f64 b 3)))
	20.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2) (cbrt.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (.f64 b 3)))
	27.1b	(-.f64 (exp.f64 (log.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) (/.f64 a (*.f64 b 3)))
	23.7b	(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 (/.f64 a 3) b) 1))
	43.4b	(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
	34.7b	(-.f64 (exp.f64 (log.f64 (.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (.f64 2 (sqrt.f64 x))))) (/.f64 a (*.f64 b 3)))
	24.4b	(-.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)))
	50.0b	(/.f64 (/.f64 (*.f64 -1/3 a) (sqrt.f64 b)) (sqrt.f64 b))
	37.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (expm1.f64 (log1p.f64 (.f64 t (.f64 z 1/3)))))) y)) 1)) (/.f64 a (*.f64 b 3)))
	20.1b	(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (fma.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (cos.f64 y) (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (neg.f64 (sin.f64 y)))))) (/.f64 a (.f64 b 3)))
	35.5b	(pow.f64 (sqrt.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))) 2)
	35.2b	(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 a (*.f64 b 3)))
	23.7b	(fma.f64 2 (sqrt.f64 x) (*.f64 a (/.f64 -1/3 b)))
	35.6b	(/.f64 (/.f64 (*.f64 -1/3 a) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))
	36.3b	(fma.f64 (sqrt.f64 x) (.f64 2 (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 z (.f64 t -1/3) y)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 z (.f64 t -1/3) y)))) (sin.f64 1)))) (/.f64 (.f64 a -1/3) b))
	20.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (cbrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
	16.9b	(pow.f64 (cbrt.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))) 3)
	22.6b	(-.f64 (expm1.f64 (log1p.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) (/.f64 a (*.f64 b 3)))
	52.5b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (exp.f64 (log.f64 (.f64 t -1/3))) y))) (/.f64 (*.f64 a -1/3) b))
	16.4b	(.f64 1/3 (.f64 3 (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 -1/3 b)))))
	39.9b	(-.f64 (pow.f64 (pow.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))) 3) 1/3) (/.f64 a (.f64 b 3)))
	16.5b	(fma.f64 (.f64 2 (cbrt.f64 (.f64 x (pow.f64 (cos.f64 y) 2)))) (cbrt.f64 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (/.f64 -1/3 b)))
	20.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3))) (.f64 (sin.f64 y) (sin.f64 (.f64 t (.f64 z -1/3)))))) (/.f64 a (*.f64 b 3)))
	50.3b	(pow.f64 (pow.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 3) 1/3)
	36.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/3 t))) 3))))) (/.f64 a (.f64 b 3)))
	20.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) 1) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
▶	35.2b	(*.f64 a (/.f64 -1/3 b))
	28.3b	(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x 4)) (.f64 (/.f64 (.f64 a -1/3) b) (/.f64 (.f64 a -1/3) b))) (-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (/.f64 (.f64 a -1/3) b)))
	62.2b	(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (/.f64 1/3 b)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (/.f64 1/3 b)))))))
	25.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3))) (.f64 (sin.f64 y) (sin.f64 (expm1.f64 (log1p.f64 (.f64 z (.f64 t -1/3)))))))) (/.f64 a (*.f64 b 3)))
	51.3b	(exp.f64 (log.f64 (*.f64 -1/3 (/.f64 a b))))
	28.4b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 2/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 (cos.f64 y) (+.f64 2 (.f64 (.f64 (.f64 t z) (.f64 t z)) -1/9))))) (/.f64 a (.f64 b 3)))
	20.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (/.f64 (/.f64 3 z) t) -1)))) (/.f64 a (*.f64 b 3)))
▶	20.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (/.f64 (/.f64 a b) 3))
	62.2b	(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (/.f64 1/3 b))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (/.f64 1/3 b)))))))
	19.9b	(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2))) (/.f64 a (*.f64 b 3)))
	60.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) y)) (cos.f64 (neg.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 t (.f64 z 1/3))))) (sqrt.f64 (log.f64 (.f64 t (.f64 z 1/3))))))))) (/.f64 a (*.f64 b 3)))

Compiler

Compiled 4248 to 3309 computations (22.1% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 48 to 27 computations (43.8% saved)

series6.0ms (0%)

Counts

2 → 61

Calls

18 calls:

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

rewrite108.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	27
1	311	25
2	4011	25

Stop Event

1×	node limit

Counts

2 → 219

Calls

Call 1

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

Outputs

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

simplify68.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

280 → 236

Calls

Call 1

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

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

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 17 to 12 computations (29.4% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

9 calls:

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

rewrite59.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 40

Calls

Call 1

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

Outputs

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

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

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

64 → 41

Calls

Call 1

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

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

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 a b) 3)
	0.2b	(/.f64 (*.f64 z t) 3)
	0.2b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
	22.8b	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))

Compiler

Compiled 83 to 41 computations (50.6% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite57.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

715×	`pow1_binary64`
670×	`add-log-exp_binary64`
670×	`log1p-expm1-u_binary64`
670×	`expm1-log1p-u_binary64`
658×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	135	7
2	1786	7

Stop Event

1×	node limit

Counts

1 → 27

Calls

Call 1

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

Outputs

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

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

51 → 27

Calls

Call 1

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

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

localize66.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 a (*.f64 b 3))
	0.3b	(*.f64 1/3 t)
✓	2.5b	(expm1.f64 (log1p.f64 (*.f64 1/3 t)))
✓	24.6b	(cos.f64 (.f64 z (expm1.f64 (log1p.f64 (.f64 1/3 t)))))

Compiler

Compiled 87 to 59 computations (32.2% saved)

series5.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite84.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

715×	`pow1_binary64`
657×	`add-log-exp_binary64`
657×	`expm1-log1p-u_binary64`
656×	`log1p-expm1-u_binary64`
643×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	158	13
2	1785	13

Stop Event

1×	node limit

Counts

2 → 40

Calls

Call 1

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

Outputs

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

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

simplify252.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	33	368
1	80	364
2	209	360
3	876	356
4	2181	344
5	2688	338
6	2999	320
7	3224	320
8	3468	320
9	3788	320
10	4216	320
11	4740	320
12	5365	320
13	5625	320
14	5843	320
15	6011	320
16	6153	320
17	6267	320
18	7048	320
19	7918	320

Stop Event

1×	node limit

Counts

76 → 49

Calls

Call 1

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

localize104.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
✓	2.5b	(pow.f64 (exp.f64 1) (log.f64 (/.f64 a (*.f64 3 b))))
✓	9.2b	(log.f64 (/.f64 a (*.f64 3 b)))
	22.8b	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))

Compiler

Compiled 105 to 62 computations (41% saved)

series50.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
25.0ms	a	@	0	(pow.f64 (exp.f64 1) (log.f64 (/.f64 a (*.f64 3 b))))
13.0ms	b	@	0	(pow.f64 (exp.f64 1) (log.f64 (/.f64 a (*.f64 3 b))))
2.0ms	b	@	inf	(pow.f64 (exp.f64 1) (log.f64 (/.f64 a (*.f64 3 b))))
2.0ms	a	@	-inf	(log.f64 (/.f64 a (*.f64 3 b)))
1.0ms	a	@	inf	(pow.f64 (exp.f64 1) (log.f64 (/.f64 a (*.f64 3 b))))

rewrite98.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

878×	`pow1_binary64`
818×	`add-log-exp_binary64`
815×	`log1p-expm1-u_binary64`
815×	`expm1-log1p-u_binary64`
804×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	200	16
2	2204	16

Stop Event

1×	node limit

Counts

2 → 81

Calls

Call 1

Inputs
(log.f64 (/.f64 a (*.f64 3 b)))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 a (*.f64 3 b))))

Outputs

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

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

simplify85.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

530×	`fma-neg_binary64`
522×	`fma-def_binary64`
352×	`exp-sum_binary64`
296×	`distribute-rgt-in_binary64`
279×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	576
1	86	432
2	167	432
3	470	432
4	1299	432
5	4331	432

Stop Event

1×	node limit

Counts

129 → 94

Calls

Call 1

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

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

eval758.0ms (3.7%)

Compiler: Compiled 19353 to 11539 computations (40.4% saved)

prune421.0ms (2.1%)

Pruning

91 alts after pruning (84 fresh and 7 done)

	Pruned	Kept	Total
New	745	35	780
Fresh	25	49	74
Picked	0	1	1
Done	3	6	9
Total	773	91	864

Error

13.5b

Counts

864 → 91

Alt Table

Click to see full alt table

Status	Error	Program
	27.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z)))) (/.f64 a (*.f64 b 3)))
	20.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (/.f64 (/.f64 3 z) t) -1)))) (/.f64 (/.f64 a b) 3))
	40.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 a (.f64 3 b))) 3))))
	28.2b	(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 (.f64 t (.f64 z 1/3))) 2))) (/.f64 a (*.f64 b 3)))
	35.8b	(-.f64 (.f64 (sqrt.f64 x) (fma.f64 (pow.f64 (.f64 t z) 2) -1/9 2)) (/.f64 a (*.f64 b 3)))
	35.2b	(/.f64 (*.f64 -1/3 a) b)
	23.7b	(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 1/3 b) a))
	55.7b	(*.f64 a (sqrt.f64 (pow.f64 (/.f64 -1/3 b) 2)))
	35.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (/.f64 (-.f64 (pow.f64 (+.f64 (.f64 1/3 t) 1) 3) 1) (+.f64 (.f64 (+.f64 (.f64 1/3 t) 1) (+.f64 (.f64 1/3 t) 1)) (+.f64 1 (.f64 (+.f64 (.f64 1/3 t) 1) 1))))))) (/.f64 a (.f64 b 3)))
✓	27.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (expm1.f64 (log1p.f64 (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
	35.1b	(.f64 a (pow.f64 (.f64 b -3) -1))
	37.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 (.f64 1/3 (sqrt.f64 t)) (sqrt.f64 t))))) (/.f64 a (.f64 b 3)))
	19.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t -1/3))) 3))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
	28.0b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (.f64 2 (sqrt.f64 x)))) 3) (/.f64 a (*.f64 b 3)))
	20.3b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (pow.f64 (cbrt.f64 (.f64 t -1/3)) 3) y))) (/.f64 (*.f64 a -1/3) b))
✓	27.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 1/3 t)))) (/.f64 a (*.f64 b 3)))
✓	35.1b	(*.f64 -1/3 (/.f64 a b))
	27.9b	(-.f64 (expm1.f64 (log1p.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))))) (/.f64 a (.f64 b 3)))
	35.2b	(/.f64 1 (/.f64 b (*.f64 -1/3 a)))
	40.5b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (pow.f64 (pow.f64 (.f64 t -1/3) 3) 1/3) y))) (/.f64 (*.f64 a -1/3) b))
	35.6b	(*.f64 a (pow.f64 (cbrt.f64 (/.f64 -1/3 b)) 3))
	20.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (.f64 (cos.f64 (.f64 z (.f64 t -1/3))) 1)) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (.f64 b 3)))
✓	40.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (pow.f64 (exp.f64 1) (log.f64 (/.f64 a (.f64 3 b)))))
	28.5b	(-.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) 1) (/.f64 a (*.f64 b 3)))
	40.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (pow.f64 (exp.f64 1) (cbrt.f64 (pow.f64 (log.f64 (.f64 a (/.f64 1/3 b))) 3))))
	20.0b	(-.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 (/.f64 a b) 3))
✓	40.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (exp.f64 (log.f64 (/.f64 (/.f64 a 3) b))))
	25.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (expm1.f64 (log1p.f64 (.f64 z (.f64 t -1/3)))))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
	58.1b	(*.f64 a (pow.f64 (pow.f64 (/.f64 -1/3 b) 3) 1/3))
	32.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 -1 (+.f64 0 (.f64 (sin.f64 (.f64 t (.f64 z 1/3))) y))) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))) (/.f64 a (*.f64 b 3)))
	24.4b	(-.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) 2) (*.f64 x 4))) (/.f64 (/.f64 a b) 3))
	20.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (sqrt.f64 (pow.f64 (cos.f64 (.f64 z (.f64 t -1/3))) 2))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
	27.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (expm1.f64 (cos.f64 (.f64 t (.f64 z 1/3)))))) (/.f64 a (*.f64 b 3)))
	35.2b	(/.f64 -1/3 (/.f64 b a))
	20.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2) (cbrt.f64 (.f64 z (*.f64 t 1/3))))))) (/.f64 (/.f64 a b) 3))
✓	62.2b	(log.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))))
	35.1b	(-.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (.f64 2 (sqrt.f64 x))))) 1) (/.f64 a (*.f64 b 3)))
	16.4b	(.f64 3 (.f64 1/3 (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 -1/3 b)))))
	35.2b	(.f64 a (.f64 (/.f64 1 b) -1/3))
	35.1b	(/.f64 a (/.f64 b -1/3))
	32.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 (cbrt.f64 (.f64 1/3 t)) (cbrt.f64 (.f64 1/9 (.f64 t t))))))) (/.f64 a (.f64 b 3)))
	39.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (exp.f64 (log.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 (/.f64 a b) 3))
	34.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 t (.f64 z 1/3))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 t (.f64 z 1/3))))) (sin.f64 1)))) (/.f64 a (*.f64 b 3)))
	37.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 -1 (.f64 (fma.f64 1/162 (pow.f64 (.f64 t z) 3) (.f64 -1/3 (.f64 t z))) y)) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))) (/.f64 a (.f64 b 3)))
	27.1b	(-.f64 (exp.f64 (log.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) (/.f64 a (*.f64 b 3)))
	20.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y))))) (/.f64 (/.f64 a b) 3))
	23.7b	(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 (/.f64 a 3) b) 1))
	43.4b	(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
	37.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (expm1.f64 (log1p.f64 (.f64 t (.f64 z 1/3)))))) y)) 1)) (/.f64 a (*.f64 b 3)))
	20.1b	(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (fma.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (cos.f64 y) (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (neg.f64 (sin.f64 y)))))) (/.f64 a (.f64 b 3)))
	35.5b	(pow.f64 (sqrt.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))) 2)
	34.7b	(-.f64 (exp.f64 (log.f64 (.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (.f64 2 (sqrt.f64 x))))) (/.f64 a (*.f64 b 3)))
	35.2b	(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 a (*.f64 b 3)))
	35.1b	(/.f64 a (*.f64 b -3))
	35.6b	(/.f64 (/.f64 (*.f64 -1/3 a) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))
	32.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (expm1.f64 (log1p.f64 (sqrt.f64 (.f64 1/9 (.f64 t t)))))))) (/.f64 a (.f64 b 3)))
	52.5b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (exp.f64 (log.f64 (.f64 t -1/3))) y))) (/.f64 (*.f64 a -1/3) b))
	38.5b	(-.f64 (+.f64 1 (*.f64 (/.f64 -1/3 b) a)) 1)
	36.3b	(fma.f64 (sqrt.f64 x) (.f64 2 (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 z (.f64 t -1/3) y)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 z (.f64 t -1/3) y)))) (sin.f64 1)))) (/.f64 (.f64 a -1/3) b))
	20.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (*.f64 (/.f64 z 3) t)))) (/.f64 (/.f64 a b) 3))
	32.7b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (cos.f64 y) (+.f64 2 (.f64 -1/9 (.f64 t (.f64 t (.f64 z z)))))) (.f64 (.f64 z (sin.f64 y)) (*.f64 t 2/3)))) (/.f64 (/.f64 a b) 3))
	16.9b	(pow.f64 (cbrt.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))) 3)
	22.6b	(-.f64 (expm1.f64 (log1p.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) (/.f64 a (*.f64 b 3)))
	16.5b	(fma.f64 (.f64 2 (cbrt.f64 (.f64 x (pow.f64 (cos.f64 y) 2)))) (cbrt.f64 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (/.f64 -1/3 b)))
	27.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (+.f64 1 (cos.f64 (.f64 t (.f64 1/3 z)))) 1)) (/.f64 a (*.f64 b 3)))
	20.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3))) (.f64 (sin.f64 y) (sin.f64 (.f64 t (.f64 z -1/3)))))) (/.f64 a (*.f64 b 3)))
	16.5b	(fma.f64 (.f64 (cos.f64 y) (cbrt.f64 (.f64 x 4))) (cbrt.f64 (.f64 2 (sqrt.f64 x))) (.f64 a (/.f64 -1/3 b)))
	16.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 (/.f64 a b) 3))
	16.4b	(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) (.f64 2 (sqrt.f64 x))) (*.f64 a (/.f64 -1/3 b)))
	16.4b	(.f64 1/3 (.f64 3 (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 -1/3 b)))))
	39.9b	(-.f64 (pow.f64 (pow.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))) 3) 1/3) (/.f64 a (.f64 b 3)))
	20.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) 1) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
	62.7b	(log.f64 (pow.f64 (exp.f64 a) (/.f64 -1/3 b)))
	37.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (sqrt.f64 (.f64 1/3 t)) 2)))) (/.f64 a (*.f64 b 3)))
	50.3b	(pow.f64 (pow.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 3) 1/3)
	36.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/3 t))) 3))))) (/.f64 a (.f64 b 3)))
✓	35.2b	(*.f64 a (/.f64 -1/3 b))
	60.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) y)) (cos.f64 (neg.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 t (.f64 z 1/3))))) (sqrt.f64 (log.f64 (.f64 t (.f64 z 1/3))))))))) (/.f64 a (*.f64 b 3)))
	27.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (cbrt.f64 (.f64 1/3 t)) 3)))) (/.f64 a (*.f64 b 3)))
	20.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 3)))) (/.f64 (/.f64 a b) 3))
	62.2b	(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (/.f64 1/3 b)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (/.f64 1/3 b)))))))
	24.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))) (/.f64 (/.f64 a b) 3))
	38.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (pow.f64 (.f64 1/3 t) 3) 1/3)))) (/.f64 a (*.f64 b 3)))
	28.3b	(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x 4)) (.f64 (/.f64 (.f64 a -1/3) b) (/.f64 (.f64 a -1/3) b))) (-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (/.f64 (.f64 a -1/3) b)))
	25.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3))) (.f64 (sin.f64 y) (sin.f64 (expm1.f64 (log1p.f64 (.f64 z (.f64 t -1/3)))))))) (/.f64 a (*.f64 b 3)))
	28.4b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 2/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 (cos.f64 y) (+.f64 2 (.f64 (.f64 (.f64 t z) (.f64 t z)) -1/9))))) (/.f64 a (.f64 b 3)))
	44.2b	(*.f64 a (-.f64 (+.f64 1 (/.f64 -1/3 b)) 1))
	27.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (.f64 z 1/3)))) (/.f64 a (*.f64 b 3)))
	62.2b	(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (/.f64 1/3 b))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (/.f64 1/3 b)))))))
	19.9b	(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2))) (/.f64 a (*.f64 b 3)))
	35.5b	(pow.f64 (cbrt.f64 (*.f64 (/.f64 -1/3 b) a)) 3)

Compiler

Compiled 2352 to 1844 computations (21.6% saved)

regimes3.5s (17.2%)

Counts

155 → 1

Calls

Call 1

Inputs
(/.f64 a (*.f64 b -3))
(/.f64 (*.f64 -1/3 a) b)
(/.f64 -1/3 (/.f64 b a))
(/.f64 a (/.f64 b -1/3))
(*.f64 a (/.f64 -1/3 b))
(*.f64 -1/3 (/.f64 a b))
(.f64 a (.f64 (/.f64 1 b) -1/3))
(/.f64 1 (/.f64 b (*.f64 -1/3 a)))
(-.f64 (+.f64 1 (*.f64 (/.f64 -1/3 b) a)) 1)
(*.f64 a (-.f64 (+.f64 1 (/.f64 -1/3 b)) 1))
(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 a b))) 1)
(.f64 a (pow.f64 (.f64 b -3) -1))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 1/3 b) a))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 (/.f64 a 3) b) 1))
(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 a (*.f64 b 3)))
(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
(exp.f64 (log.f64 (*.f64 -1/3 (/.f64 a b))))
(*.f64 a (sqrt.f64 (pow.f64 (/.f64 -1/3 b) 2)))
(*.f64 a (pow.f64 (cbrt.f64 (/.f64 -1/3 b)) 3))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 -1/3 b) a)) 3)
(pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 3)
(*.f64 a (pow.f64 (pow.f64 (/.f64 -1/3 b) 3) 1/3))
(pow.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3) 1/3)
(/.f64 (/.f64 (*.f64 -1/3 a) (sqrt.f64 b)) (sqrt.f64 b))
(fma.f64 2 (sqrt.f64 x) (*.f64 a (/.f64 -1/3 b)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 (/.f64 a b) 3))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1/3 b) a))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 (/.f64 a 3) b) 1))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (.f64 z 1/3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (.f64 z 1/3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 1/3 t)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (*.f64 (/.f64 z 3) t)))) (/.f64 (/.f64 a b) 3))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (/.f64 (/.f64 a b) 3))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 1/3 b) a))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 z 3) t)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 a b) 1/3))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (+.f64 1 (cos.f64 (.f64 t (.f64 1/3 z)))) 1)) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 (/.f64 a 3) b) 1))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) y)) 1)) (/.f64 a (*.f64 b 3)))
(log.f64 (pow.f64 (exp.f64 a) (/.f64 -1/3 b)))
(/.f64 (/.f64 (*.f64 -1/3 a) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)) (/.f64 (.f64 a -1/3) b))
(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2))) (/.f64 a (*.f64 b 3)))
(.f64 3 (.f64 1/3 (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 -1/3 b)))))
(.f64 1/3 (.f64 3 (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 -1/3 b)))))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (.f64 t (.f64 z -1/3)))) (/.f64 (.f64 a -1/3) b))
(-.f64 (.f64 (sqrt.f64 x) (fma.f64 (pow.f64 (.f64 t z) 2) -1/9 2)) (/.f64 a (*.f64 b 3)))
(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 (.f64 t (.f64 z 1/3))) 2))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (/.f64 (/.f64 3 z) t) -1)))) (/.f64 (/.f64 a b) 3))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (/.f64 (/.f64 3 z) t) -1)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))) (/.f64 (/.f64 a b) 3))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) y)) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 -1 (+.f64 0 (.f64 (sin.f64 (.f64 t (.f64 z 1/3))) y))) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (cos.f64 y) (+.f64 2 (.f64 -1/9 (.f64 t (.f64 t (.f64 z z)))))) (.f64 (.f64 z (sin.f64 y)) (*.f64 t 2/3)))) (/.f64 (/.f64 a b) 3))
(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 2/3 (.f64 t (.f64 z (sin.f64 y)))) (.f64 (cos.f64 y) (+.f64 2 (.f64 (.f64 (.f64 t z) (.f64 t z)) -1/9))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (cos.f64 y) (+.f64 2 (.f64 -1/9 (.f64 t (.f64 t (.f64 z z)))))) (.f64 (.f64 z (sin.f64 y)) (.f64 t 2/3)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (/.f64 (-.f64 (pow.f64 (+.f64 (.f64 1/3 t) 1) 3) 1) (+.f64 (.f64 (+.f64 (.f64 1/3 t) 1) (+.f64 (.f64 1/3 t) 1)) (+.f64 1 (.f64 (+.f64 (.f64 1/3 t) 1) 1))))))) (/.f64 a (.f64 b 3)))
(log.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))))
(-.f64 (exp.f64 (log.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) (/.f64 a (*.f64 b 3)))
(-.f64 (expm1.f64 (log1p.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) (/.f64 a (*.f64 b 3)))
(cbrt.f64 (pow.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 3))
(pow.f64 (sqrt.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))) 2)
(pow.f64 (cbrt.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))) 3)
(-.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) 1) (/.f64 a (*.f64 b 3)))
(pow.f64 (pow.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 3) 1/3)
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (/.f64 (*.f64 a -1/3) b))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (expm1.f64 (log1p.f64 (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (expm1.f64 (cos.f64 (.f64 t (.f64 z 1/3)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (exp.f64 (log.f64 (.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (.f64 2 (sqrt.f64 x))))) (/.f64 a (*.f64 b 3)))
(-.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) 2) (*.f64 x 4))) (/.f64 (/.f64 a b) 3))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (sqrt.f64 (.f64 1/3 t)) 2)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (cbrt.f64 (.f64 1/3 t)) 3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (.f64 2 (sqrt.f64 x)))) 3) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (sqrt.f64 (.f64 1/3 t)) 2)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (cbrt.f64 (.f64 1/3 t)) 3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) 2) (.f64 x 4))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 (.f64 1/3 (sqrt.f64 t)) (sqrt.f64 t))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (exp.f64 (log.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 (/.f64 a b) 3))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (pow.f64 (.f64 1/3 t) 3) 1/3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 (.f64 t (.f64 z 1/3))) (.f64 2 (sqrt.f64 x))))) 1) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (pow.f64 (.f64 1/3 t) 3) 1/3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (exp.f64 (log.f64 (/.f64 (/.f64 a 3) b))))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (expm1.f64 (log1p.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (exp.f64 (log.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 3)))) (/.f64 (/.f64 a 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 (/.f64 (*.f64 z t) 3)))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 a 3) b) 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 a 3) b))) 1))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 (cbrt.f64 (.f64 1/3 t)) (cbrt.f64 (.f64 1/9 (.f64 t 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 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
(-.f64 (+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (sqrt.f64 (.f64 z t)) (.f64 (sqrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (expm1.f64 (log1p.f64 (.f64 t (.f64 z 1/3)))))) y)) 1)) (/.f64 a (*.f64 b 3)))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x 4)) (.f64 (/.f64 (.f64 a -1/3) b) (/.f64 (.f64 a -1/3) b))) (-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (/.f64 (.f64 a -1/3) b)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 -1 (.f64 (fma.f64 1/162 (pow.f64 (.f64 t z) 3) (.f64 -1/3 (.f64 t z))) y)) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))) (/.f64 a (.f64 b 3)))
(fma.f64 (.f64 (cos.f64 y) (cbrt.f64 (.f64 x 4))) (cbrt.f64 (.f64 2 (sqrt.f64 x))) (.f64 a (/.f64 -1/3 b)))
(fma.f64 (.f64 (cos.f64 y) (cbrt.f64 (.f64 x 4))) (cbrt.f64 (sqrt.f64 (.f64 x 4))) (/.f64 (.f64 a -1/3) b))
(fma.f64 (cbrt.f64 (.f64 x 4)) (.f64 (cbrt.f64 (.f64 2 (sqrt.f64 x))) (cos.f64 y)) (.f64 a (neg.f64 (/.f64 1/3 b))))
(fma.f64 (.f64 (cos.f64 y) (cbrt.f64 (.f64 x 4))) (cbrt.f64 (.f64 2 (sqrt.f64 x))) (.f64 a (neg.f64 (/.f64 1/3 b))))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y))))) (/.f64 (/.f64 a b) 3))
(-.f64 (expm1.f64 (log1p.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))))) (/.f64 a (.f64 b 3)))
(-.f64 (expm1.f64 (log1p.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))) 3)) (/.f64 a (.f64 b 3)))
(-.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x)))) 3) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (expm1.f64 (log1p.f64 (sqrt.f64 (.f64 1/9 (.f64 t t)))))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/3 t))) 3))))) (/.f64 a (.f64 b 3)))
(-.f64 (pow.f64 (pow.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))) 3) 1/3) (/.f64 a (.f64 b 3)))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))))) 1) (/.f64 a (.f64 b 3)))
(-.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))) 3) 1/3) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (pow.f64 (exp.f64 1) (log.f64 (/.f64 a (.f64 3 b)))))
(-.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 (/.f64 a b) 3))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (cbrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2) (cbrt.f64 (.f64 z (*.f64 t 1/3))))))) (/.f64 (/.f64 a b) 3))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 2) (cbrt.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (.f64 b 3)))
(-.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 t (.f64 z -1/3)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 -1 (expm1.f64 (log1p.f64 (.f64 (sin.f64 (.f64 t (.f64 z 1/3))) y)))) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (.f64 (cos.f64 (.f64 z (.f64 t -1/3))) 1)) (.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 -1 (.f64 (sin.f64 (neg.f64 (expm1.f64 (log1p.f64 (.f64 t (.f64 z 1/3)))))) y)) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z)))))) (/.f64 a (*.f64 b 3)))
(/.f64 (-.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2)) (pow.f64 (.f64 a (neg.f64 (/.f64 1/3 b))) 2)) (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (neg.f64 (/.f64 1/3 b)))))
(fma.f64 (sqrt.f64 x) (.f64 2 (log.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))) (/.f64 (*.f64 a -1/3) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (exp.f64 (log.f64 (.f64 t -1/3))) y))) (/.f64 (*.f64 a -1/3) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (pow.f64 (cbrt.f64 (.f64 t -1/3)) 3) y))) (/.f64 (*.f64 a -1/3) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (sqrt.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 2)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (pow.f64 (pow.f64 (.f64 t -1/3) 3) 1/3) y))) (/.f64 (*.f64 a -1/3) b))
(-.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 2 (sqrt.f64 x)) 3) (pow.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) 3))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 a (.f64 3 b))) 3))))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (fma.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (cos.f64 y) (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (neg.f64 (sin.f64 y)))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3)) (neg.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3)))))) (/.f64 a (.f64 b 3)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) (.f64 2 (sqrt.f64 x))) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 (.f64 2 (cbrt.f64 (.f64 x (pow.f64 (cos.f64 y) 2)))) (cbrt.f64 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (/.f64 -1/3 b)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (pow.f64 (exp.f64 1) (cbrt.f64 (pow.f64 (log.f64 (.f64 a (/.f64 1/3 b))) 3))))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (expm1.f64 (log1p.f64 (.f64 z (.f64 t -1/3)))))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3))) (.f64 (sin.f64 y) (sin.f64 (expm1.f64 (log1p.f64 (.f64 z (.f64 t -1/3)))))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t -1/3))) 3))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (sqrt.f64 (pow.f64 (cos.f64 (.f64 z (.f64 t -1/3))) 2))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))) 2) (cbrt.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 t (.f64 z 1/3))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 t (.f64 z 1/3))))) (sin.f64 1)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 -1 (.f64 (sin.f64 (neg.f64 (.f64 1/3 (.f64 t z)))) y)) (cos.f64 (neg.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 t (.f64 z 1/3))))) (sqrt.f64 (log.f64 (.f64 t (.f64 z 1/3))))))))) (/.f64 a (*.f64 b 3)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (/.f64 1/3 b)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (/.f64 1/3 b)))))))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (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)))))) (/.f64 a (.f64 b 3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (/.f64 1/3 b))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (/.f64 1/3 b)))))))
(fma.f64 (sqrt.f64 x) (.f64 2 (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 z (.f64 t -1/3) y)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 z (.f64 t -1/3) y)))) (sin.f64 1)))) (/.f64 (.f64 a -1/3) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))))) (/.f64 (.f64 a -1/3) b))

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

Calls

21 calls:

276.0ms	z
242.0ms	a
236.0ms	(/.f64 a (*.f64 b 3))
213.0ms	x
193.0ms	(/.f64 (*.f64 z t) 3)

Results

Error	Segments	Branch
16.2b	1	`x`
16.2b	1	`y`
16.2b	1	`z`
16.2b	1	`t`
16.2b	1	`a`
16.2b	1	`b`
16.2b	1	`(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))`
16.2b	1	`(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))`
16.2b	1	`(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))`
16.2b	1	`(*.f64 2 (sqrt.f64 x))`
16.2b	1	`(sqrt.f64 x)`
16.2b	1	`(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))`
16.2b	1	`(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))`
16.2b	1	`(-.f64 y (/.f64 (*.f64 z t) 3))`
16.2b	1	`(-.f64 y (/.f64 (*.f64 z t) 3))`
16.2b	1	`(/.f64 (*.f64 z t) 3)`
16.2b	1	`(*.f64 z t)`
16.2b	1	`(/.f64 a (*.f64 b 3))`
16.2b	1	`(/.f64 a (*.f64 b 3))`
16.2b	1	`(*.f64 b 3)`
16.2b	1	`(*.f64 b 3)`

Compiler

Compiled 3357 to 2138 computations (36.3% saved)

regimes428.0ms (2.1%)

Counts

27 → 3

Calls

Call 1

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

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

Calls

12 calls:

59.0ms	(/.f64 a (*.f64 b 3))
49.0ms	(*.f64 b 3)
48.0ms	(*.f64 b 3)
45.0ms	t
41.0ms	a

Results

Error	Segments	Branch
23.7b	1	`x`
22.7b	3	`y`
23.7b	1	`z`
22.7b	3	`t`
22.6b	3	`a`
22.6b	2	`b`
23.7b	1	`(*.f64 2 (sqrt.f64 x))`
23.7b	1	`(sqrt.f64 x)`
17.6b	3	`(/.f64 a (*.f64 b 3))`
17.6b	3	`(/.f64 a (*.f64 b 3))`
22.6b	2	`(*.f64 b 3)`
22.6b	2	`(*.f64 b 3)`

Compiler

Compiled 322 to 233 computations (27.6% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.010931260694855e-99	2.715792438158798e-78
0.0ms	-1.1009388480421862e-82	-2.5327091428338546e-86

Compiler

Compiled 34 to 27 computations (20.6% saved)

regimes183.0ms (0.9%)

Counts

17 → 1

Calls

Call 1

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

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

Calls

12 calls:

64.0ms	b
13.0ms	z
12.0ms	x
11.0ms	y
10.0ms	(*.f64 b 3)

Results

Error	Segments	Branch
23.7b	1	`x`
23.7b	1	`y`
23.7b	1	`z`
23.7b	1	`t`
23.7b	1	`a`
23.7b	1	`b`
23.7b	1	`(*.f64 2 (sqrt.f64 x))`
23.7b	1	`(sqrt.f64 x)`
23.7b	1	`(/.f64 a (*.f64 b 3))`
23.7b	1	`(/.f64 a (*.f64 b 3))`
23.7b	1	`(*.f64 b 3)`
23.7b	1	`(*.f64 b 3)`

Compiler

Compiled 240 to 179 computations (25.4% saved)

regimes185.0ms (0.9%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

10 calls:

65.0ms	(*.f64 b 3)
39.0ms	t
9.0ms	b
9.0ms	a
9.0ms	y

Results

Error	Segments	Branch
23.7b	1	`x`
23.7b	1	`y`
23.7b	1	`z`
23.7b	1	`t`
23.7b	1	`a`
23.7b	1	`b`
23.7b	1	`(*.f64 2 (sqrt.f64 x))`
23.7b	1	`(sqrt.f64 x)`
23.7b	1	`(/.f64 a (*.f64 b 3))`
23.7b	1	`(*.f64 b 3)`

Compiler

Compiled 194 to 146 computations (24.7% saved)

regimes217.0ms (1.1%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

8 calls:

120.0ms	y
38.0ms	a
10.0ms	(sqrt.f64 x)
10.0ms	z
9.0ms	(*.f64 2 (sqrt.f64 x))

Results

Error	Segments	Branch
23.7b	1	`x`
23.7b	1	`y`
23.7b	1	`z`
23.7b	1	`t`
23.7b	1	`a`
23.7b	1	`b`
23.7b	1	`(*.f64 2 (sqrt.f64 x))`
23.7b	1	`(sqrt.f64 x)`

Compiler

Compiled 164 to 123 computations (25% saved)

regimes352.0ms (1.7%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

8 calls:

63.0ms	x
13.0ms	b
9.0ms	(*.f64 2 (sqrt.f64 x))
8.0ms	t
8.0ms	a

Results

Error	Segments	Branch
23.7b	1	`x`
23.7b	1	`y`
23.7b	1	`z`
23.7b	1	`t`
23.7b	1	`a`
23.7b	1	`b`
23.7b	1	`(*.f64 2 (sqrt.f64 x))`
23.7b	1	`(sqrt.f64 x)`

Compiler

Compiled 154 to 118 computations (23.4% saved)

regimes271.0ms (1.3%)

Accuracy

Total -11.6b remaining (-33%)

Threshold costs -11.6b (-33%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

6 calls:

163.0ms	y
74.0ms	t
8.0ms	b
7.0ms	a
7.0ms	x

Results

Error	Segments	Branch
35.1b	1	`x`
35.1b	1	`y`
35.1b	1	`z`
35.1b	1	`t`
35.1b	1	`a`
35.1b	1	`b`

Compiler

Compiled 126 to 95 computations (24.6% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

17×	`*-commutative_binary64`
14×	`+-commutative_binary64`
14×	`sub-neg_binary64`
9×	`neg-sub0_binary64`
9×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	152
1	72	152
2	108	152
3	127	152
4	139	152
5	142	152

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 (/.f64 a b) 3))
(if (<=.f64 (/.f64 a (.f64 b 3)) -213598703592091/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3))) (if (<=.f64 (/.f64 a (.f64 b 3)) 6156563468186637/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088) (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 (/.f64 a 3) b) 1))))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 (/.f64 a 3) b) 1))
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 1/3 b) a))
(/.f64 a (*.f64 b -3))

Outputs
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 (/.f64 a b) 3))
(if (<=.f64 (/.f64 a (.f64 b 3)) -213598703592091/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3))) (if (<=.f64 (/.f64 a (.f64 b 3)) 6156563468186637/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088) (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 (/.f64 a 3) b) 1))))
(if (<=.f64 (/.f64 a (.f64 b 3)) -213598703592091/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3))) (if (<=.f64 (/.f64 a (.f64 b 3)) 6156563468186637/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088) (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (-.f64 (*.f64 2 (sqrt.f64 x)) (/.f64 (/.f64 a 3) b))))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 (/.f64 a 3) b) 1))
(-.f64 (*.f64 2 (sqrt.f64 x)) (/.f64 (/.f64 a 3) b))
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 -1/3 (/.f64 a b)))
(+.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 a b) -1/3))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 1/3 b) a))
(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 a (/.f64 1/3 b)))
(/.f64 a (*.f64 b -3))

Compiler

Compiled 143 to 111 computations (22.4% saved)

soundness0.0ms (0%)

end286.0ms (1.4%)

Remove: (sort z t)
Compiler: Compiled 145 to 98 computations (32.4% saved)