Details

analyze481.0ms (4.4%)

Algorithm

1×

Search

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

Compiler

Compiled 26 to 20 computations (23.1% saved)

sample5.4s (48.7%)

Results

1.5s	1730×	body	1024	valid
1.2s	5821×	body	64	invalid
946.0ms	4511×	body	64	valid
783.0ms	733×	body	2048	valid
608.0ms	775×	body	512	valid
178.0ms	323×	body	256	valid
63.0ms	180×	body	128	valid
11.0ms	4×	body	4096	valid

preprocess133.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1
2
3
4
5

Outputs
0
1
2
3
2
4
5

Call 2

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

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

Symmetry

(sort z t)

Compiler

Compiled 25 to 19 computations (24% saved)

simplify42.0ms (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`
108×	`associate-/l*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

prune4.0ms (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

19.8b

Counts

3 → 2

Alt Table

Status	Error	Program
	20.2b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (*.f64 a (/.f64 -1/3 b)))
▶	20.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))

Compiler

Compiled 138 to 101 computations (26.8% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
✓	0.2b	(/.f64 (*.f64 z t) 3)
✓	0.4b	(/.f64 a (*.f64 b 3))
✓	22.9b	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))

series52.0ms (0.5%)

Counts

4 → 120

Calls

33 calls:

Time	Variable		Point	Expression
28.0ms	z	@	0	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
2.0ms	t	@	-inf	(/.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	z	@	0	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))
1.0ms	a	@	inf	(/.f64 a (*.f64 b 3))

rewrite94.0ms (0.8%)

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	5246	42

Stop Event

1×	node limit

Counts

4 → 125

Calls

Call 1

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

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

simplify72.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

711×	`associate-r_binary64`
687×	`associate-l_binary64`
645×	`fma-def_binary64`
392×	`distribute-rgt-neg-out_binary64`
345×	`distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	100	1982
1	305	1827
2	970	1713
3	4517	1707

Stop Event

1×	node limit

Counts

245 → 165

Calls

Call 1

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

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

prune559.0ms (5.1%)

Pruning

27 alts after pruning (27 fresh and 0 done)

	Pruned	Kept	Total
New	139	26	165
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	140	27	167

Error

15.4b

Counts

167 → 27

Alt Table

Status	Error	Program
	27.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z))))) (/.f64 a (*.f64 b 3)))
	28.7b	(-.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)))
	26.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (cbrt.f64 (.f64 (pow.f64 (.f64 z t) 3) 1/27))))) (/.f64 a (*.f64 b 3)))
	41.9b	(-.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)))
	28.7b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))) 3)) (/.f64 a (.f64 b 3)))
	29.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (cbrt.f64 (.f64 a (/.f64 1/3 b))) (cbrt.f64 (pow.f64 (.f64 a (/.f64 1/3 b)) 2))))
	19.8b	(-.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)))
▶	17.7b	(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (/.f64 a (*.f64 b 3)))
	37.9b	(-.f64 (exp.f64 (log.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))))) (/.f64 a (.f64 b 3)))
	20.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (/.f64 (-.f64 (.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3))))) (.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))))) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
	20.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 1 b) (/.f64 a 3)))
	20.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
	36.7b	(-.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)))
	27.7b	(-.f64 (.f64 (sqrt.f64 x) (.f64 (cos.f64 (.f64 z (.f64 1/3 t))) 2)) (/.f64 a (*.f64 b 3)))
	20.2b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (*.f64 a (/.f64 -1/3 b)))
	25.3b	(-.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) 2) (.f64 x 4))) (/.f64 a (.f64 b 3)))
	20.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (cbrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
	23.8b	(-.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	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) 3))) (/.f64 a (.f64 b 3)))
	20.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 z (/.f64 1 (/.f64 3 t)))))) (/.f64 a (.f64 b 3)))
	40.6b	(-.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))) 3) 1/3) (/.f64 a (.f64 b 3)))
	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)))
	35.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (.f64 (pow.f64 (.f64 z t) 3) 1/27) 1/3)))) (/.f64 a (*.f64 b 3)))
	26.2b	(-.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)))
	20.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) 3) (pow.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) 3)) (fma.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (-.f64 (.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))) (.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))))))) (/.f64 a (*.f64 b 3)))
	20.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3))))) (cbrt.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))))) (cbrt.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3))))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))))) (/.f64 a (.f64 b 3)))
	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)))

Compiler

Compiled 6266 to 4039 computations (35.5% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series42.0ms (0.4%)

Counts

2 → 41

Calls

18 calls:

Time	Variable		Point	Expression
28.0ms	y	@	0	(*.f64 (cos.f64 y) (sqrt.f64 x))
4.0ms	y	@	inf	(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (/.f64 a (*.f64 b 3)))
1.0ms	a	@	0	(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (/.f64 a (*.f64 b 3)))
1.0ms	y	@	0	(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (/.f64 a (*.f64 b 3)))
1.0ms	x	@	0	(*.f64 (cos.f64 y) (sqrt.f64 x))

rewrite129.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	28
1	299	28
2	3953	28

Stop Event

1×	node limit

Counts

2 → 148

Calls

Call 1

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

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

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simplify50.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	50	745
1	137	728
2	385	692
3	1300	689
4	4327	689

Stop Event

1×	node limit

Counts

189 → 170

Calls

Call 1

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

prune715.0ms (6.5%)

Pruning

39 alts after pruning (39 fresh and 0 done)

	Pruned	Kept	Total
New	193	17	210
Fresh	4	22	26
Picked	1	0	1
Done	0	0	0
Total	198	39	237

Error

15.1b

Counts

237 → 39

Alt Table

Status	Error	Program
	27.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z))))) (/.f64 a (*.f64 b 3)))
	18.5b	(.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2) (.f64 a (neg.f64 (/.f64 1/3 b))))) 2) (cbrt.f64 (fma.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2) (*.f64 a (neg.f64 (/.f64 1/3 b))))))
	39.4b	(/.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) 3) 8 (pow.f64 (.f64 a (neg.f64 (/.f64 1/3 b))) 3)) (fma.f64 (.f64 x (pow.f64 (cos.f64 y) 2)) 4 (-.f64 (pow.f64 (.f64 a (neg.f64 (/.f64 1/3 b))) 2) (.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (.f64 a (neg.f64 (/.f64 1/3 b)))))))
	28.7b	(-.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)))
	26.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (cbrt.f64 (.f64 (pow.f64 (.f64 z t) 3) 1/27))))) (/.f64 a (*.f64 b 3)))
	36.4b	(exp.f64 (log.f64 (fma.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2) (.f64 a (neg.f64 (/.f64 1/3 b))))))
	41.9b	(-.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)))
	28.7b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))) 3)) (/.f64 a (.f64 b 3)))
	29.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (cbrt.f64 (.f64 a (/.f64 1/3 b))) (cbrt.f64 (pow.f64 (.f64 a (/.f64 1/3 b)) 2))))
	36.1b	(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (fma.f64 -1/2 (.f64 y y) 1))) (/.f64 a (.f64 b 3)))
	19.8b	(-.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)))
	18.1b	(-.f64 (.f64 2 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) (sqrt.f64 x))) 3)) (/.f64 a (*.f64 b 3)))
▶	17.7b	(-.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 (/.f64 1 b) (/.f64 a 3)))
	20.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (/.f64 (-.f64 (.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3))))) (.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))))) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
	18.1b	(fma.f64 (cbrt.f64 (.f64 x (pow.f64 (cos.f64 y) 2))) (.f64 (cbrt.f64 (.f64 (cos.f64 y) (sqrt.f64 x))) 2) (.f64 a (neg.f64 (/.f64 1/3 b))))
	20.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
	36.7b	(-.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)))
	30.6b	(fma.f64 (sqrt.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2))) (sqrt.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2))) (*.f64 a (neg.f64 (/.f64 1/3 b))))
	25.0b	(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
	27.7b	(-.f64 (.f64 (sqrt.f64 x) (.f64 (cos.f64 (.f64 z (.f64 1/3 t))) 2)) (/.f64 a (*.f64 b 3)))
	25.3b	(-.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) 2) (.f64 x 4))) (/.f64 a (.f64 b 3)))
	20.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) 3) (pow.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) 3)) (fma.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (-.f64 (.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))) (.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))))))) (/.f64 a (*.f64 b 3)))
	30.1b	(-.f64 (.f64 2 (-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 y) (sqrt.f64 x)))) 1)) (/.f64 a (*.f64 b 3)))
	22.4b	(-.f64 (.f64 2 (sqrt.f64 (.f64 x (pow.f64 (cos.f64 y) 2)))) (/.f64 a (*.f64 b 3)))
	20.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3))))) (cbrt.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))))) (cbrt.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3))))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))))) (/.f64 a (.f64 b 3)))
	31.5b	(-.f64 (.f64 2 (exp.f64 (log.f64 (.f64 (cos.f64 y) (sqrt.f64 x))))) (/.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)))
	23.8b	(-.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)))
	18.0b	(fma.f64 (.f64 (.f64 (cos.f64 y) 2) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (*.f64 a (neg.f64 (/.f64 1/3 b))))
	28.4b	(/.f64 (-.f64 (.f64 (.f64 x (pow.f64 (cos.f64 y) 2)) 4) (pow.f64 (.f64 a (neg.f64 (/.f64 1/3 b))) 2)) (-.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (.f64 a (neg.f64 (/.f64 1/3 b)))))
	20.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (cbrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
	20.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 z (/.f64 1 (/.f64 3 t)))))) (/.f64 a (.f64 b 3)))
	40.6b	(-.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))) 3) 1/3) (/.f64 a (.f64 b 3)))
	37.3b	(*.f64 -1/3 (/.f64 a b))
	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)))
	62.2b	(log.f64 (exp.f64 (fma.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2) (.f64 a (neg.f64 (/.f64 1/3 b))))))
	35.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (.f64 (pow.f64 (.f64 z t) 3) 1/27) 1/3)))) (/.f64 a (*.f64 b 3)))
	26.2b	(-.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)))
	35.1b	(-.f64 (.f64 2 (pow.f64 (pow.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) 3) 1/3)) (/.f64 a (*.f64 b 3)))

Compiler

Compiled 7337 to 4730 computations (35.5% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series7.0ms (0.1%)

Counts

2 → 61

Calls

18 calls:

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

rewrite104.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

835×	`log-prod_binary64`
469×	`fma-def_binary64`
296×	`expm1-udef_binary64`
296×	`log1p-udef_binary64`
257×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	27
1	353	25
2	4577	25

Stop Event

1×	node limit

Counts

2 → 234

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 2)) (/.f64 (*.f64 a -1/3) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 2)) (*.f64 (/.f64 (*.f64 a -1/3) b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 y) (*.f64 (sqrt.f64 x) 2)) (+.f64 (/.f64 (*.f64 a -1/3) b) (+.f64 (/.f64 (*.f64 a -1/3) b) (*.f64 (/.f64 a b) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)) (/.f64 (*.f64 a -1/3) b)) (+.f64 (/.f64 (*.f64 a -1/3) b) (*.f64 (/.f64 a b) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)) (/.f64 (*.f64 a -1/3) b)) (fma.f64 (/.f64 (*.f64 a -1/3) b) 1 (*.f64 (/.f64 a b) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)) (/.f64 (*.f64 a -1/3) b)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 a b) 1/3))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 a b) 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simplify124.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

915×	`fma-def_binary64`
490×	`distribute-rgt-neg-in_binary64`
446×	`distribute-lft-neg-in_binary64`
355×	`associate-l_binary64`
323×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	829
1	106	814
2	285	790
3	952	788
4	3948	788

Stop Event

1×	node limit

Counts

295 → 251

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

prune1.1s (9.7%)

Pruning

38 alts after pruning (38 fresh and 0 done)

	Pruned	Kept	Total
New	263	15	278
Fresh	15	23	38
Picked	1	0	1
Done	0	0	0
Total	279	38	317

Error

15.1b

Counts

317 → 38

Alt Table

Status	Error	Program
	18.5b	(.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)) (/.f64 (.f64 a -1/3) b))) 2) (cbrt.f64 (fma.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)) (/.f64 (*.f64 a -1/3) b))))
▶	18.0b	(fma.f64 (.f64 (.f64 2 (cos.f64 y)) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (/.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)))
	18.0b	(fma.f64 (.f64 2 (cbrt.f64 (.f64 x (pow.f64 (cos.f64 y) 2)))) (cbrt.f64 (.f64 (cos.f64 y) (sqrt.f64 x))) (/.f64 (.f64 a -1/3) b))
	28.7b	(-.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)))
	35.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (.f64 (pow.f64 (.f64 z t) 3) 1/27) 1/3)))) (/.f64 a (*.f64 b 3)))
	28.4b	(/.f64 (-.f64 (.f64 4 (.f64 x (pow.f64 (cos.f64 y) 2))) (.f64 (/.f64 (.f64 a -1/3) b) (/.f64 (.f64 a -1/3) b))) (-.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (/.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)))
	36.1b	(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (fma.f64 -1/2 (.f64 y y) 1))) (.f64 (/.f64 1 b) (/.f64 a 3)))
	22.4b	(-.f64 (.f64 2 (sqrt.f64 (.f64 x (pow.f64 (cos.f64 y) 2)))) (*.f64 (/.f64 1 b) (/.f64 a 3)))
	31.5b	(-.f64 (.f64 2 (exp.f64 (log.f64 (.f64 (cos.f64 y) (sqrt.f64 x))))) (*.f64 (/.f64 1 b) (/.f64 a 3)))
	26.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (cbrt.f64 (.f64 (pow.f64 (.f64 z t) 3) 1/27))))) (/.f64 a (*.f64 b 3)))
	41.9b	(-.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)))
	28.7b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))) 3)) (/.f64 a (.f64 b 3)))
	29.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (cbrt.f64 (.f64 a (/.f64 1/3 b))) (cbrt.f64 (pow.f64 (.f64 a (/.f64 1/3 b)) 2))))
	30.6b	(fma.f64 (sqrt.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2))) (sqrt.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2))) (/.f64 (*.f64 a -1/3) b))
	19.8b	(-.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)))
	37.3b	(/.f64 (*.f64 a -1/3) b)
	20.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (/.f64 (-.f64 (.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3))))) (.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))))) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
	39.4b	(/.f64 (fma.f64 8 (pow.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) 3) (pow.f64 (/.f64 (.f64 a -1/3) b) 3)) (fma.f64 4 (.f64 x (pow.f64 (cos.f64 y) 2)) (-.f64 (.f64 (/.f64 (.f64 a -1/3) b) (/.f64 (.f64 a -1/3) b)) (.f64 (.f64 (cos.f64 y) (.f64 (sqrt.f64 x) 2)) (/.f64 (.f64 a -1/3) b)))))
	36.4b	(exp.f64 (log.f64 (fma.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)) (/.f64 (.f64 a -1/3) b))))
	20.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
	36.7b	(-.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)))
	27.7b	(-.f64 (.f64 (sqrt.f64 x) (.f64 (cos.f64 (.f64 z (.f64 1/3 t))) 2)) (/.f64 a (*.f64 b 3)))
	25.3b	(-.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) 2) (.f64 x 4))) (/.f64 a (.f64 b 3)))
	20.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) 3) (pow.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) 3)) (fma.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (-.f64 (.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))) (.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))))))) (/.f64 a (*.f64 b 3)))
	30.1b	(-.f64 (.f64 2 (-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 y) (sqrt.f64 x)))) 1)) (/.f64 a (*.f64 b 3)))
	20.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3))))) (cbrt.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))))) (cbrt.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3))))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))))) (/.f64 a (.f64 b 3)))
	18.1b	(-.f64 (.f64 2 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) (sqrt.f64 x))) 3)) (*.f64 (/.f64 1 b) (/.f64 a 3)))
	20.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (cbrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
	23.8b	(-.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)))
	25.0b	(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 1 b) (/.f64 a 3)))
	62.2b	(log.f64 (exp.f64 (fma.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)) (/.f64 (.f64 a -1/3) b))))
	20.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 z (/.f64 1 (/.f64 3 t)))))) (/.f64 a (.f64 b 3)))
	40.6b	(-.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))) 3) 1/3) (/.f64 a (.f64 b 3)))
	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)))
	35.1b	(-.f64 (.f64 2 (pow.f64 (pow.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) 3) 1/3)) (*.f64 (/.f64 1 b) (/.f64 a 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)))

Compiler

Compiled 9274 to 5534 computations (40.3% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (*.f64 a -1/3) b)
✓	0.3b	(*.f64 a -1/3)
✓	0.6b	(cbrt.f64 (sqrt.f64 x))
✓	0.6b	(cbrt.f64 x)

series52.0ms (0.5%)

Counts

4 → 44

Calls

15 calls:

Time	Variable		Point	Expression
36.0ms	x	@	0	(cbrt.f64 (sqrt.f64 x))
8.0ms	x	@	inf	(cbrt.f64 (sqrt.f64 x))
2.0ms	a	@	0	(*.f64 a -1/3)
1.0ms	x	@	-inf	(cbrt.f64 (sqrt.f64 x))
1.0ms	x	@	-inf	(cbrt.f64 x)

rewrite63.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

948×	`pow1_binary64`
881×	`add-log-exp_binary64`
881×	`log1p-expm1-u_binary64`
881×	`expm1-log1p-u_binary64`
98×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	201	18
2	2443	18

Stop Event

1×	node limit

Counts

4 → 99

Calls

Call 1

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

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

simplify152.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1330×	`sqr-pow_binary64`
715×	`pow-sqr_binary64`
677×	`cube-prod_binary64`
558×	`fabs-mul_binary64`
373×	`unpow3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	248
1	18	248
2	27	248
3	38	248
4	61	248
5	153	248
6	528	248
7	1195	248
8	1285	248
9	1421	248
10	1582	248
11	1813	248
12	2138	248
13	2562	248
14	3065	248
15	3665	248
16	4390	248
17	4711	248
18	4993	248
19	5215	248
20	5395	248
21	5477	248
22	6420	248
23	7397	248
24	7863	248

Stop Event

1×	node limit

Counts

143 → 101

Calls

Call 1

Inputs
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))

Outputs
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 (/.f64 a b))
(/.f64 (*.f64 -1/3 a) b)
(*.f64 a (/.f64 -1/3 b))
(*.f64 -1/3 (/.f64 a b))
(/.f64 (*.f64 -1/3 a) b)
(*.f64 a (/.f64 -1/3 b))
(*.f64 -1/3 (/.f64 a b))
(/.f64 (*.f64 -1/3 a) b)
(*.f64 a (/.f64 -1/3 b))
(*.f64 -1/3 (/.f64 a b))
(/.f64 (*.f64 -1/3 a) b)
(*.f64 a (/.f64 -1/3 b))
(*.f64 -1/3 (/.f64 a b))
(/.f64 (*.f64 -1/3 a) b)
(*.f64 a (/.f64 -1/3 b))
(*.f64 -1/3 (/.f64 a b))
(/.f64 (*.f64 -1/3 a) b)
(*.f64 a (/.f64 -1/3 b))
(*.f64 -1/3 (/.f64 a b))
(/.f64 (*.f64 -1/3 a) b)
(*.f64 a (/.f64 -1/3 b))
(*.f64 -1/3 (/.f64 a b))
(/.f64 (*.f64 -1/3 a) b)
(*.f64 a (/.f64 -1/3 b))
(*.f64 -1/3 (/.f64 a b))
(/.f64 (*.f64 -1/3 a) b)
(*.f64 a (/.f64 -1/3 b))
(*.f64 -1/3 (/.f64 a b))
(/.f64 (*.f64 -1/3 a) b)
(*.f64 a (/.f64 -1/3 b))
(*.f64 -1/3 (/.f64 a b))
(/.f64 (*.f64 -1/3 a) b)
(*.f64 a (/.f64 -1/3 b))
(*.f64 -1/3 (/.f64 a b))
(/.f64 (*.f64 -1/3 a) b)
(*.f64 a (/.f64 -1/3 b))
(*.f64 -1/3 (/.f64 a b))
(/.f64 (*.f64 -1/3 a) b)
(*.f64 a (/.f64 -1/3 b))
(*.f64 -1/3 (/.f64 a b))
(/.f64 (*.f64 -1/3 a) b)
(*.f64 a (/.f64 -1/3 b))
(*.f64 -1/3 (/.f64 a b))
(/.f64 (*.f64 -1/3 a) b)
(*.f64 a (/.f64 -1/3 b))
(*.f64 -1/3 (/.f64 a b))
(/.f64 (*.f64 -1/3 a) b)
(*.f64 a (/.f64 -1/3 b))
(*.f64 -1/3 (/.f64 a b))
(/.f64 (*.f64 -1/3 a) b)
(*.f64 a (/.f64 -1/3 b))
(*.f64 -1/3 (/.f64 a b))
(/.f64 (*.f64 -1/3 a) b)
(*.f64 a (/.f64 -1/3 b))
(*.f64 -1/3 (/.f64 a b))
(/.f64 (*.f64 -1/3 a) b)
(*.f64 a (/.f64 -1/3 b))
(*.f64 -1/3 (/.f64 a b))
(/.f64 (*.f64 -1/3 a) b)
(*.f64 a (/.f64 -1/3 b))
(*.f64 -1/3 (/.f64 a b))
(/.f64 (*.f64 -1/3 a) b)
(*.f64 a (/.f64 -1/3 b))
(*.f64 -1/3 (/.f64 a b))
(/.f64 (*.f64 -1/3 a) b)
(*.f64 a (/.f64 -1/3 b))
(*.f64 -1/3 (/.f64 a b))
(/.f64 (*.f64 -1/3 a) b)
(*.f64 a (/.f64 -1/3 b))
(*.f64 -1/3 (/.f64 a b))
(/.f64 (*.f64 -1/3 a) b)
(*.f64 a (/.f64 -1/3 b))

prune175.0ms (1.6%)

Pruning

37 alts after pruning (37 fresh and 0 done)

	Pruned	Kept	Total
New	96	5	101
Fresh	5	32	37
Picked	1	0	1
Done	0	0	0
Total	102	37	139

Error

15.1b

Counts

139 → 37

Alt Table

Status	Error	Program
	27.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z))))) (/.f64 a (*.f64 b 3)))
	18.0b	(fma.f64 (.f64 2 (cbrt.f64 (.f64 x (pow.f64 (cos.f64 y) 2)))) (cbrt.f64 (.f64 (cos.f64 y) (sqrt.f64 x))) (/.f64 (.f64 a -1/3) b))
	28.7b	(-.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)))
	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)))
	36.1b	(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (fma.f64 -1/2 (.f64 y y) 1))) (.f64 (/.f64 1 b) (/.f64 a 3)))
	22.4b	(-.f64 (.f64 2 (sqrt.f64 (.f64 x (pow.f64 (cos.f64 y) 2)))) (*.f64 (/.f64 1 b) (/.f64 a 3)))
	31.5b	(-.f64 (.f64 2 (exp.f64 (log.f64 (.f64 (cos.f64 y) (sqrt.f64 x))))) (*.f64 (/.f64 1 b) (/.f64 a 3)))
	26.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (cbrt.f64 (.f64 (pow.f64 (.f64 z t) 3) 1/27))))) (/.f64 a (*.f64 b 3)))
	41.9b	(-.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)))
	28.7b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))) 3)) (/.f64 a (.f64 b 3)))
	29.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (cbrt.f64 (.f64 a (/.f64 1/3 b))) (cbrt.f64 (pow.f64 (.f64 a (/.f64 1/3 b)) 2))))
	19.8b	(-.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)))
	37.3b	(/.f64 (*.f64 a -1/3) b)
	20.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
	36.7b	(-.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)))
	27.7b	(-.f64 (.f64 (sqrt.f64 x) (.f64 (cos.f64 (.f64 z (.f64 1/3 t))) 2)) (/.f64 a (*.f64 b 3)))
	19.2b	(fma.f64 (.f64 (.f64 2 (cos.f64 y)) (pow.f64 (sqrt.f64 x) 2/3)) (cbrt.f64 (sqrt.f64 x)) (/.f64 (*.f64 a -1/3) b))
	25.3b	(-.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) 2) (.f64 x 4))) (/.f64 a (.f64 b 3)))
	20.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) 3) (pow.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) 3)) (fma.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (-.f64 (.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))) (.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))))))) (/.f64 a (*.f64 b 3)))
	30.1b	(-.f64 (.f64 2 (-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 y) (sqrt.f64 x)))) 1)) (/.f64 a (*.f64 b 3)))
	19.0b	(fma.f64 (.f64 (.f64 2 (cos.f64 y)) (exp.f64 (log.f64 (cbrt.f64 x)))) (cbrt.f64 (sqrt.f64 x)) (/.f64 (*.f64 a -1/3) b))
	20.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3))))) (cbrt.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))))) (cbrt.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3))))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))))) (/.f64 a (.f64 b 3)))
	18.1b	(-.f64 (.f64 2 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) (sqrt.f64 x))) 3)) (*.f64 (/.f64 1 b) (/.f64 a 3)))
	20.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (cbrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
	23.8b	(-.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)))
	25.0b	(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 (/.f64 1 b) (/.f64 a 3)))
	62.2b	(log.f64 (exp.f64 (fma.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)) (/.f64 (.f64 a -1/3) b))))
	43.7b	(fma.f64 (.f64 (.f64 2 (cos.f64 y)) (cbrt.f64 x)) (log.f64 (exp.f64 (pow.f64 x 1/6))) (/.f64 (*.f64 a -1/3) b))
	20.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 z (/.f64 1 (/.f64 3 t)))))) (/.f64 a (.f64 b 3)))
	40.6b	(-.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))) 3) 1/3) (/.f64 a (.f64 b 3)))
	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)))
	18.0b	(fma.f64 (.f64 (.f64 2 (cos.f64 y)) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (pow.f64 (*.f64 -3 (/.f64 b a)) -1))
	35.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (.f64 (pow.f64 (.f64 z t) 3) 1/27) 1/3)))) (/.f64 a (*.f64 b 3)))
	18.2b	(fma.f64 (.f64 (.f64 2 (cos.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)) (cbrt.f64 (sqrt.f64 x)) (/.f64 (*.f64 a -1/3) b))
	20.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (/.f64 (-.f64 (.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3))))) (.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))))) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
	35.1b	(-.f64 (.f64 2 (pow.f64 (pow.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) 3) 1/3)) (*.f64 (/.f64 1 b) (/.f64 a 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)))

Compiler

Compiled 3155 to 1908 computations (39.5% saved)

regimes1.4s (12.9%)

Accuracy

Total -47.6b remaining (-292.3%)

Threshold costs -47.6b (-292.3%)

Counts

65 → 3

Calls

Call 1

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

Outputs

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

Results

38.0ms	17.7b	`x`
32.0ms	17.7b	`y`
33.0ms	17.7b	`z`
34.0ms	17.7b	`t`
36.0ms	17.7b	`a`
34.0ms	17.7b	`b`
69.0ms	16.4b	`(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))`
66.0ms	16.4b	`(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))`
68.0ms	16.4b	`(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))`
34.0ms	17.7b	`(*.f64 2 (sqrt.f64 x))`
34.0ms	17.7b	`(*.f64 2 (sqrt.f64 x))`
39.0ms	17.7b	`(sqrt.f64 x)`
62.0ms	16.4b	`(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))`
59.0ms	16.4b	`(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))`
166.0ms	16.3b	`(-.f64 y (/.f64 (*.f64 z t) 3))`
87.0ms	16.3b	`(-.f64 y (/.f64 (*.f64 z t) 3))`
115.0ms	16.3b	`(/.f64 (*.f64 z t) 3)`
74.0ms	16.3b	`(/.f64 (*.f64 z t) 3)`
78.0ms	16.3b	`(*.f64 z t)`
72.0ms	16.3b	`(*.f64 z t)`
28.0ms	17.7b	`(/.f64 a (*.f64 b 3))`
30.0ms	17.7b	`(/.f64 a (*.f64 b 3))`
36.0ms	17.7b	`(*.f64 b 3)`
37.0ms	17.7b	`(*.f64 b 3)`

Compiler

Compiled 1774 to 1121 computations (36.8% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Calls

2 calls:

0.0ms	(-.f64 y (/.f64 (*.f64 z t) 3))
0.0ms	(-.f64 y (/.f64 (*.f64 z t) 3))

Steps

Iters	Point		Range
1e+297	∈ [	7.469816442766932e+296	,	9.12680734836739e+299	]
-1e+293	∈ [	-1.3500581228411256e+293	,	-1.382455738950496e+287	]

Compiler

Compiled 34 to 27 computations (20.6% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	116
1	64	116
2	90	116
3	113	116
4	128	116
5	135	116
6	137	116

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 (-.f64 y (/.f64 (*.f64 z t) 3)) -99999999999999992462348437353960485060448933957923525202610654848990348279466077292501969423268405025328970231162545648343655275306678872441733790178059478330735395060467469727994972900530063978805843953102113868000379620369084502134308975505229555772913629423636305841602377586326247764393984) (-.f64 (*.f64 2 (sqrt.f64 (*.f64 x (pow.f64 (cos.f64 y) 2)))) (*.f64 (/.f64 1 b) (/.f64 a 3))) (if (<=.f64 (-.f64 y (/.f64 (*.f64 z t) 3)) 1000000000000000017652801462756379714374878780719864776839443139119744823869255243069012222883470359078822072829219411228534934402712624705615450492327979456500795456339201761949451160807447294527656222743617592048849967890105831362861792425329827928397252374398383022243308510390698430058459037696) (-.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 2 (sqrt.f64 (*.f64 x (pow.f64 (cos.f64 y) 2)))) (*.f64 (/.f64 1 b) (/.f64 a 3)))))

Outputs

(if (<=.f64 (-.f64 y (/.f64 (*.f64 z t) 3)) -99999999999999992462348437353960485060448933957923525202610654848990348279466077292501969423268405025328970231162545648343655275306678872441733790178059478330735395060467469727994972900530063978805843953102113868000379620369084502134308975505229555772913629423636305841602377586326247764393984) (-.f64 (*.f64 2 (sqrt.f64 (*.f64 x (pow.f64 (cos.f64 y) 2)))) (*.f64 (/.f64 1 b) (/.f64 a 3))) (if (<=.f64 (-.f64 y (/.f64 (*.f64 z t) 3)) 1000000000000000017652801462756379714374878780719864776839443139119744823869255243069012222883470359078822072829219411228534934402712624705615450492327979456500795456339201761949451160807447294527656222743617592048849967890105831362861792425329827928397252374398383022243308510390698430058459037696) (-.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 2 (sqrt.f64 (*.f64 x (pow.f64 (cos.f64 y) 2)))) (*.f64 (/.f64 1 b) (/.f64 a 3)))))

(if (<=.f64 (-.f64 y (/.f64 (*.f64 z t) 3)) -99999999999999992462348437353960485060448933957923525202610654848990348279466077292501969423268405025328970231162545648343655275306678872441733790178059478330735395060467469727994972900530063978805843953102113868000379620369084502134308975505229555772913629423636305841602377586326247764393984) (-.f64 (*.f64 2 (sqrt.f64 (*.f64 x (pow.f64 (cos.f64 y) 2)))) (*.f64 (/.f64 1 b) (/.f64 a 3))) (if (<=.f64 (-.f64 y (/.f64 (*.f64 z t) 3)) 1000000000000000017652801462756379714374878780719864776839443139119744823869255243069012222883470359078822072829219411228534934402712624705615450492327979456500795456339201761949451160807447294527656222743617592048849967890105831362861792425329827928397252374398383022243308510390698430058459037696) (-.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 3 b))) (-.f64 (*.f64 2 (sqrt.f64 (*.f64 x (pow.f64 (cos.f64 y) 2)))) (*.f64 (/.f64 1 b) (/.f64 a 3)))))

end62.0ms (0.6%)

Stop Event

1×

fuel

Compiler

Compiled 328 to 240 computations (26.8% saved)

Details

analyze481.0ms (4.4%)

sample5.4s (48.7%)

preprocess133.0ms (1.2%)

simplify42.0ms (0.4%)

prune4.0ms (0%)

localize16.0ms (0.1%)

series52.0ms (0.5%)

rewrite94.0ms (0.8%)

simplify72.0ms (0.7%)

prune559.0ms (5.1%)

localize10.0ms (0.1%)

series42.0ms (0.4%)

rewrite129.0ms (1.2%)

simplify50.0ms (0.5%)

prune715.0ms (6.5%)

localize11.0ms (0.1%)

series7.0ms (0.1%)

rewrite104.0ms (0.9%)

simplify124.0ms (1.1%)

prune1.1s (9.7%)

localize16.0ms (0.1%)

series52.0ms (0.5%)

rewrite63.0ms (0.6%)

simplify152.0ms (1.4%)

prune175.0ms (1.6%)

regimes1.4s (12.9%)

bsearch1.0ms (0%)

simplify6.0ms (0.1%)

end62.0ms (0.6%)

Profiling