Details

analyze1.4s (14.1%)

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
24.9%	49.9%	25.2%	13
24.9%	37.4%	37.7%	14

Compiler

Compiled 26 to 20 computations (23.1% saved)

sample4.1s (40.4%)

Results

1.2s	1641×	body	1024	valid
911.0ms	4736×	body	128	valid
810.0ms	757×	body	2048	valid
659.0ms	3499×	body	128	invalid
378.0ms	769×	body	512	valid
114.0ms	351×	body	256	valid
5.0ms	2×	body	4096	valid

Compiler

Compiled 52 to 40 computations (23.1% saved)

preprocess59.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

424×	`fma-neg_binary64`
394×	`fma-def_binary64`
378×	`cancel-sign-sub-inv_binary64`
334×	`sub-neg_binary64`
202×	`associate-/l*_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
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))
(-.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))
(-.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 (/.f64 a b) -1/3))
(-.f64 (.f64 (.f64 2 (sqrt.f64 t)) (cos.f64 (-.f64 y (/.f64 (.f64 z x) 3)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 t)) (cos.f64 (-.f64 y (/.f64 z (/.f64 3 x))))) (/.f64 a (*.f64 3 b)))
(-.f64 (.f64 (.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))
(-.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))
(-.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))
(-.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 (/.f64 a b) -1/3))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 t (/.f64 (.f64 z y) 3)))) (/.f64 a (.f64 b 3)))
(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))
(-.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))
(-.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))
(-.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))
(-.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 (/.f64 z b) -1/3))
(-.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 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 (/.f64 a z) -1/3))
(-.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 -1/3 a) 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 -1/3 b) 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)

simplify48.0ms (0.5%)

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)))

prune5.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

20.4b

Counts

3 → 2

Alt Table

Status	Error	Program
	20.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))
▶	20.7b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (*.f64 a (/.f64 -1/3 b)))

Compiler

Compiled 138 to 101 computations (26.8% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y)))
✓	0.3b	(/.f64 -1/3 b)
✓	0.4b	(*.f64 t -1/3)
✓	21.2b	(cos.f64 (fma.f64 z (*.f64 t -1/3) y))

series28.0ms (0.3%)

Counts

4 → 84

Calls

27 calls:

Time	Variable		Point	Expression
12.0ms	x	@	inf	(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y)))
2.0ms	x	@	0	(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y)))
1.0ms	z	@	0	(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
1.0ms	x	@	-inf	(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y)))
1.0ms	y	@	0	(cos.f64 (fma.f64 z (*.f64 t -1/3) y))

rewrite57.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

615×	`log-prod_binary64`
236×	`expm1-udef_binary64`
236×	`log1p-udef_binary64`
206×	`log-pow_binary64`
133×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 86

Calls

Call 1

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

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

simplify64.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

729×	`associate-l_binary64`
653×	`associate-r_binary64`
364×	`cancel-sign-sub-inv_binary64`
320×	`fma-def_binary64`
220×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	83	1491
1	280	1422
2	990	1366
3	4819	1366

Stop Event

1×	node limit

Counts

170 → 124

Calls

Call 1

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

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

prune212.0ms (2.1%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	104	20	124
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	105	21	126

Error

14.9b

Counts

126 → 21

Alt Table

Status	Error	Program
	55.5b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (exp.f64 (log.f64 (.f64 t -1/3))) y))) (*.f64 a (/.f64 -1/3 b)))
	21.1b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (*.f64 a (pow.f64 (cbrt.f64 (/.f64 -1/3 b)) 3)))
	42.2b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (pow.f64 (pow.f64 (.f64 t -1/3) 3) 1/3) y))) (*.f64 a (/.f64 -1/3 b)))
	32.0b	(fma.f64 2 (.f64 (sqrt.f64 x) (-.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 (sin.f64 y) (.f64 t z)))) (.f64 1/18 (.f64 (cos.f64 y) (.f64 (pow.f64 t 2) (pow.f64 z 2)))))) (.f64 a (/.f64 -1/3 b)))
	20.3b	(fma.f64 2 (.f64 (sqrt.f64 x) (-.f64 (.f64 (cos.f64 (.f64 (.f64 z t) -1/3)) (cos.f64 y)) (.f64 (sin.f64 (.f64 (.f64 z t) -1/3)) (sin.f64 y)))) (.f64 a (/.f64 -1/3 b)))
▶	17.2b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 -1/3 b)))
	28.0b	(fma.f64 2 (cbrt.f64 (.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 3) (pow.f64 x 3/2))) (*.f64 a (/.f64 -1/3 b)))
	20.8b	(fma.f64 2 (.f64 (sqrt.f64 x) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))))) (.f64 a (/.f64 -1/3 b)))
	25.7b	(fma.f64 2 (sqrt.f64 (.f64 x (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2))) (*.f64 a (/.f64 -1/3 b)))
	36.1b	(fma.f64 2 (.f64 (sqrt.f64 x) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 z (.f64 t -1/3) y)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 z (.f64 t -1/3) y)))) (sin.f64 1)))) (.f64 a (/.f64 -1/3 b)))
	21.1b	(fma.f64 2 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (sqrt.f64 x))) 3) (*.f64 a (/.f64 -1/3 b)))
	20.8b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (.f64 a (.f64 -1/3 (pow.f64 b -1))))
	20.7b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (.f64 a (pow.f64 (.f64 b -3) -1)))
	28.6b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 a (/.f64 -1/3 b)))
	20.9b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (pow.f64 (cbrt.f64 (.f64 t -1/3)) 3) y))) (*.f64 a (/.f64 -1/3 b)))
	20.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))
	33.1b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (.f64 a (.f64 (cbrt.f64 (/.f64 -1/3 b)) (cbrt.f64 (/.f64 1/9 (*.f64 b b))))))
	21.3b	(fma.f64 2 (.f64 (sqrt.f64 x) (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))) (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))))) (.f64 a (/.f64 -1/3 b)))
	37.5b	(fma.f64 2 (pow.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (sqrt.f64 x)) 3) 1/3) (*.f64 a (/.f64 -1/3 b)))
	20.8b	(fma.f64 2 (.f64 (sqrt.f64 x) (log.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))) (*.f64 a (/.f64 -1/3 b)))
	43.2b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (*.f64 a (pow.f64 (sqrt.f64 (/.f64 -1/3 b)) 2)))

Compiler

Compiled 4320 to 2816 computations (34.8% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series19.0ms (0.2%)

Counts

3 → 73

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 -1/3 b)))
2.0ms	y	@	0	(*.f64 (sqrt.f64 x) (cos.f64 y))
1.0ms	x	@	0	(*.f64 (sqrt.f64 x) (cos.f64 y))
1.0ms	y	@	inf	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 -1/3 b)))
1.0ms	a	@	0	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 -1/3 b)))

rewrite52.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

604×	`log-prod_binary64`
240×	`prod-diff_binary64`
235×	`expm1-udef_binary64`
235×	`log1p-udef_binary64`
200×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	33
1	267	33
2	3131	33

Stop Event

1×	node limit

Counts

3 → 74

Calls

Call 1

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

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

Outputs

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

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

simplify47.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

644×	`cancel-sign-sub-inv_binary64`
503×	`fma-neg_binary64`
426×	`sub-neg_binary64`
200×	`*-commutative_binary64`
170×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	1026
1	137	960
2	406	934
3	1431	925
4	4220	925

Stop Event

1×	node limit

Counts

147 → 96

Calls

Call 1

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

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

prune244.0ms (2.4%)

Pruning

32 alts after pruning (32 fresh and 0 done)

	Pruned	Kept	Total
New	104	17	121
Fresh	5	15	20
Picked	1	0	1
Done	0	0	0
Total	110	32	142

Error

14.5b

Counts

142 → 32

Alt Table

Status	Error	Program
	17.6b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (pow.f64 (cbrt.f64 (/.f64 -1/3 b)) 3)))
	28.6b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 a (/.f64 -1/3 b)))
	37.2b	(fma.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y)) (.f64 -1/3 (/.f64 a b)))
	41.4b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (pow.f64 (sqrt.f64 (/.f64 -1/3 b)) 2)))
	30.1b	(fma.f64 2 (exp.f64 (log.f64 (.f64 (sqrt.f64 x) (cos.f64 y)))) (.f64 a (/.f64 -1/3 b)))
	24.9b	(fma.f64 (sqrt.f64 x) 2 (*.f64 -1/3 (/.f64 a b)))
	42.2b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (pow.f64 (pow.f64 (.f64 t -1/3) 3) 1/3) y))) (*.f64 a (/.f64 -1/3 b)))
	32.0b	(fma.f64 2 (.f64 (sqrt.f64 x) (-.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 (sin.f64 y) (.f64 t z)))) (.f64 1/18 (.f64 (cos.f64 y) (.f64 (pow.f64 t 2) (pow.f64 z 2)))))) (.f64 a (/.f64 -1/3 b)))
	25.1b	(fma.f64 2 (cbrt.f64 (.f64 (pow.f64 x 3/2) (pow.f64 (cos.f64 y) 3))) (.f64 a (/.f64 -1/3 b)))
▶	17.1b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
	20.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))
	25.1b	(fma.f64 2 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) 3)) (.f64 a (/.f64 -1/3 b)))
	20.3b	(fma.f64 2 (.f64 (sqrt.f64 x) (-.f64 (.f64 (cos.f64 (.f64 (.f64 z t) -1/3)) (cos.f64 y)) (.f64 (sin.f64 (.f64 (.f64 z t) -1/3)) (sin.f64 y)))) (.f64 a (/.f64 -1/3 b)))
	38.1b	(exp.f64 (log.f64 (fma.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y) (.f64 a (/.f64 -1/3 b)))))
	21.9b	(fma.f64 2 (sqrt.f64 (.f64 x (pow.f64 (cos.f64 y) 2))) (.f64 a (/.f64 -1/3 b)))
	17.5b	(fma.f64 2 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (cos.f64 y))) 3) (.f64 a (/.f64 -1/3 b)))
	25.7b	(fma.f64 2 (sqrt.f64 (.f64 x (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2))) (*.f64 a (/.f64 -1/3 b)))
	20.8b	(fma.f64 2 (.f64 (sqrt.f64 x) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))))) (.f64 a (/.f64 -1/3 b)))
	21.3b	(fma.f64 2 (.f64 (sqrt.f64 x) (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))) (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))))) (.f64 a (/.f64 -1/3 b)))
	17.6b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (/.f64 (.f64 a -1/3) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b)))
	33.3b	(fma.f64 2 (pow.f64 (pow.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) 3) 1/3) (.f64 a (/.f64 -1/3 b)))
	36.1b	(fma.f64 2 (.f64 (sqrt.f64 x) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 z (.f64 t -1/3) y)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 z (.f64 t -1/3) y)))) (sin.f64 1)))) (.f64 a (/.f64 -1/3 b)))
	17.2b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (.f64 a -1/3) b))
	21.1b	(fma.f64 2 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (sqrt.f64 x))) 3) (*.f64 a (/.f64 -1/3 b)))
	28.6b	(fma.f64 2 (-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 x) (cos.f64 y)))) 1) (.f64 a (/.f64 -1/3 b)))
	37.5b	(fma.f64 2 (pow.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (sqrt.f64 x)) 3) 1/3) (*.f64 a (/.f64 -1/3 b)))
	17.2b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 1 (/.f64 b (.f64 a -1/3))))
	20.8b	(fma.f64 2 (.f64 (sqrt.f64 x) (log.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))) (*.f64 a (/.f64 -1/3 b)))
	17.9b	(.f64 (cbrt.f64 (fma.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y) (.f64 a (/.f64 -1/3 b)))) (pow.f64 (cbrt.f64 (fma.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y) (*.f64 a (/.f64 -1/3 b)))) 2))
	55.5b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (exp.f64 (log.f64 (.f64 t -1/3))) y))) (*.f64 a (/.f64 -1/3 b)))
	20.9b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (pow.f64 (cbrt.f64 (.f64 t -1/3)) 3) y))) (*.f64 a (/.f64 -1/3 b)))
	20.8b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (.f64 a (.f64 -1/3 (pow.f64 b -1))))

Compiler

Compiled 3716 to 2391 computations (35.7% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series6.0ms (0.1%)

Counts

2 → 37

Calls

18 calls:

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

rewrite59.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

624×	`log-prod_binary64`
236×	`expm1-udef_binary64`
236×	`log1p-udef_binary64`
204×	`prod-diff_binary64`
201×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	25
1	266	25
2	3184	25

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

Outputs

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

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

simplify40.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

482×	`fma-def_binary64`
371×	`cancel-sign-sub-inv_binary64`
368×	`associate-l_binary64`
300×	`fma-neg_binary64`
293×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	704
1	99	641
2	269	629
3	883	622
4	3888	622

Stop Event

1×	node limit

Counts

91 → 67

Calls

Call 1

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

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

prune181.0ms (1.8%)

Pruning

32 alts after pruning (32 fresh and 0 done)

	Pruned	Kept	Total
New	89	5	94
Fresh	4	27	31
Picked	1	0	1
Done	0	0	0
Total	94	32	126

Error

14.5b

Counts

126 → 32

Alt Table

Status	Error	Program
	28.6b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 a (/.f64 -1/3 b)))
	17.2b	(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 -1/3 (/.f64 b a)))
	37.2b	(fma.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y)) (.f64 -1/3 (/.f64 a b)))
	24.9b	(fma.f64 -1/3 (/.f64 a b) (*.f64 2 (sqrt.f64 x)))
	41.4b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (pow.f64 (sqrt.f64 (/.f64 -1/3 b)) 2)))
	30.1b	(fma.f64 2 (exp.f64 (log.f64 (.f64 (sqrt.f64 x) (cos.f64 y)))) (.f64 a (/.f64 -1/3 b)))
	42.2b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (pow.f64 (pow.f64 (.f64 t -1/3) 3) 1/3) y))) (*.f64 a (/.f64 -1/3 b)))
	32.0b	(fma.f64 2 (.f64 (sqrt.f64 x) (-.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 (sin.f64 y) (.f64 t z)))) (.f64 1/18 (.f64 (cos.f64 y) (.f64 (pow.f64 t 2) (pow.f64 z 2)))))) (.f64 a (/.f64 -1/3 b)))
	25.1b	(fma.f64 2 (cbrt.f64 (.f64 (pow.f64 x 3/2) (pow.f64 (cos.f64 y) 3))) (.f64 a (/.f64 -1/3 b)))
	20.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))
	25.1b	(fma.f64 2 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) 3)) (.f64 a (/.f64 -1/3 b)))
	20.3b	(fma.f64 2 (.f64 (sqrt.f64 x) (-.f64 (.f64 (cos.f64 (.f64 (.f64 z t) -1/3)) (cos.f64 y)) (.f64 (sin.f64 (.f64 (.f64 z t) -1/3)) (sin.f64 y)))) (.f64 a (/.f64 -1/3 b)))
	38.1b	(exp.f64 (log.f64 (fma.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y) (.f64 a (/.f64 -1/3 b)))))
	21.9b	(fma.f64 2 (sqrt.f64 (.f64 x (pow.f64 (cos.f64 y) 2))) (.f64 a (/.f64 -1/3 b)))
	17.5b	(fma.f64 2 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (cos.f64 y))) 3) (.f64 a (/.f64 -1/3 b)))
	25.7b	(fma.f64 2 (sqrt.f64 (.f64 x (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2))) (*.f64 a (/.f64 -1/3 b)))
	20.8b	(fma.f64 2 (.f64 (sqrt.f64 x) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))))) (.f64 a (/.f64 -1/3 b)))
	21.3b	(fma.f64 2 (.f64 (sqrt.f64 x) (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))) (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))))) (.f64 a (/.f64 -1/3 b)))
	17.6b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (/.f64 (.f64 a -1/3) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b)))
	33.3b	(fma.f64 2 (pow.f64 (pow.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) 3) 1/3) (.f64 a (/.f64 -1/3 b)))
	17.2b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (.f64 a -1/3) b))
▶	17.1b	(fma.f64 -1/3 (/.f64 a b) (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
	36.1b	(fma.f64 2 (.f64 (sqrt.f64 x) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 z (.f64 t -1/3) y)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 z (.f64 t -1/3) y)))) (sin.f64 1)))) (.f64 a (/.f64 -1/3 b)))
	21.1b	(fma.f64 2 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (sqrt.f64 x))) 3) (*.f64 a (/.f64 -1/3 b)))
	35.6b	(*.f64 -1/3 (/.f64 a b))
	17.2b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 1 (/.f64 b (.f64 a -1/3))))
	37.5b	(fma.f64 2 (pow.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (sqrt.f64 x)) 3) 1/3) (*.f64 a (/.f64 -1/3 b)))
	20.8b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (.f64 a (.f64 -1/3 (pow.f64 b -1))))
	17.9b	(.f64 (cbrt.f64 (fma.f64 -1/3 (/.f64 a b) (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) (pow.f64 (cbrt.f64 (fma.f64 -1/3 (/.f64 a b) (.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))) 2))
	55.5b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (exp.f64 (log.f64 (.f64 t -1/3))) y))) (*.f64 a (/.f64 -1/3 b)))
	20.9b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (pow.f64 (cbrt.f64 (.f64 t -1/3)) 3) y))) (*.f64 a (/.f64 -1/3 b)))
	20.8b	(fma.f64 2 (.f64 (sqrt.f64 x) (log.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))) (*.f64 a (/.f64 -1/3 b)))

Compiler

Compiled 3247 to 2015 computations (37.9% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

series12.0ms (0.1%)

Counts

1 → 37

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	y	@	-inf	(fma.f64 -1/3 (/.f64 a b) (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
1.0ms	a	@	-inf	(fma.f64 -1/3 (/.f64 a b) (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
1.0ms	b	@	-inf	(fma.f64 -1/3 (/.f64 a b) (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
1.0ms	a	@	inf	(fma.f64 -1/3 (/.f64 a b) (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
0.0ms	x	@	-inf	(fma.f64 -1/3 (/.f64 a b) (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))

rewrite56.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

633×	`log-prod_binary64`
236×	`expm1-udef_binary64`
236×	`log1p-udef_binary64`
219×	`prod-diff_binary64`
201×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	18
1	266	18
2	3177	18

Stop Event

1×	node limit

Counts

1 → 29

Calls

Call 1

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

Outputs

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

simplify44.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

482×	`fma-def_binary64`
379×	`associate-l_binary64`
371×	`cancel-sign-sub-inv_binary64`
302×	`associate-r_binary64`
300×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	704
1	99	641
2	269	629
3	886	622
4	3962	622

Stop Event

1×	node limit

Counts

66 → 43

Calls

Call 1

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

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

prune112.0ms (1.1%)

Pruning

31 alts after pruning (30 fresh and 1 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	3	28	31
Picked	0	1	1
Done	0	0	0
Total	71	31	102

Error

14.5b

Counts

102 → 31

Alt Table

Status	Error	Program
	28.6b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 a (/.f64 -1/3 b)))
	17.2b	(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 -1/3 (/.f64 b a)))
	37.2b	(fma.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y)) (.f64 -1/3 (/.f64 a b)))
	24.9b	(fma.f64 -1/3 (/.f64 a b) (*.f64 2 (sqrt.f64 x)))
	41.4b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (pow.f64 (sqrt.f64 (/.f64 -1/3 b)) 2)))
	30.1b	(fma.f64 2 (exp.f64 (log.f64 (.f64 (sqrt.f64 x) (cos.f64 y)))) (.f64 a (/.f64 -1/3 b)))
	42.2b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (pow.f64 (pow.f64 (.f64 t -1/3) 3) 1/3) y))) (*.f64 a (/.f64 -1/3 b)))
	32.0b	(fma.f64 2 (.f64 (sqrt.f64 x) (-.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 (sin.f64 y) (.f64 t z)))) (.f64 1/18 (.f64 (cos.f64 y) (.f64 (pow.f64 t 2) (pow.f64 z 2)))))) (.f64 a (/.f64 -1/3 b)))
	25.1b	(fma.f64 2 (cbrt.f64 (.f64 (pow.f64 x 3/2) (pow.f64 (cos.f64 y) 3))) (.f64 a (/.f64 -1/3 b)))
	20.3b	(fma.f64 2 (.f64 (sqrt.f64 x) (-.f64 (.f64 (cos.f64 (.f64 (.f64 z t) -1/3)) (cos.f64 y)) (.f64 (sin.f64 (.f64 (.f64 z t) -1/3)) (sin.f64 y)))) (.f64 a (/.f64 -1/3 b)))
	38.1b	(exp.f64 (log.f64 (fma.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y) (.f64 a (/.f64 -1/3 b)))))
	21.9b	(fma.f64 2 (sqrt.f64 (.f64 x (pow.f64 (cos.f64 y) 2))) (.f64 a (/.f64 -1/3 b)))
	17.5b	(fma.f64 2 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (cos.f64 y))) 3) (.f64 a (/.f64 -1/3 b)))
	25.7b	(fma.f64 2 (sqrt.f64 (.f64 x (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2))) (*.f64 a (/.f64 -1/3 b)))
	20.8b	(fma.f64 2 (.f64 (sqrt.f64 x) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))))) (.f64 a (/.f64 -1/3 b)))
	21.3b	(fma.f64 2 (.f64 (sqrt.f64 x) (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))) (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))))) (.f64 a (/.f64 -1/3 b)))
	17.6b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (/.f64 (.f64 a -1/3) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b)))
	33.3b	(fma.f64 2 (pow.f64 (pow.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) 3) 1/3) (.f64 a (/.f64 -1/3 b)))
	36.1b	(fma.f64 2 (.f64 (sqrt.f64 x) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 z (.f64 t -1/3) y)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 z (.f64 t -1/3) y)))) (sin.f64 1)))) (.f64 a (/.f64 -1/3 b)))
✓	17.1b	(fma.f64 -1/3 (/.f64 a b) (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))
	21.1b	(fma.f64 2 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (sqrt.f64 x))) 3) (*.f64 a (/.f64 -1/3 b)))
	35.6b	(*.f64 -1/3 (/.f64 a b))
	37.5b	(fma.f64 2 (pow.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (sqrt.f64 x)) 3) 1/3) (*.f64 a (/.f64 -1/3 b)))
	26.9b	(/.f64 (-.f64 (.f64 (/.f64 (.f64 -1/3 a) b) (/.f64 (.f64 -1/3 a) b)) (.f64 (.f64 x (pow.f64 (cos.f64 y) 2)) 4)) (-.f64 (/.f64 (.f64 -1/3 a) b) (.f64 (sqrt.f64 x) (.f64 (cos.f64 y) 2))))
	17.2b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 1 (/.f64 b (.f64 a -1/3))))
	20.8b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (.f64 a (.f64 -1/3 (pow.f64 b -1))))
	17.9b	(.f64 (cbrt.f64 (fma.f64 -1/3 (/.f64 a b) (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) (pow.f64 (cbrt.f64 (fma.f64 -1/3 (/.f64 a b) (.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))) 2))
	55.5b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (exp.f64 (log.f64 (.f64 t -1/3))) y))) (*.f64 a (/.f64 -1/3 b)))
	20.9b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (pow.f64 (cbrt.f64 (.f64 t -1/3)) 3) y))) (*.f64 a (/.f64 -1/3 b)))
	20.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))
	38.6b	(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 -1/3 a) b) 3) (pow.f64 (.f64 (sqrt.f64 x) (.f64 (cos.f64 y) 2)) 3)) (fma.f64 (/.f64 (.f64 -1/3 a) b) (/.f64 (.f64 -1/3 a) b) (-.f64 (.f64 (.f64 x (pow.f64 (cos.f64 y) 2)) 4) (.f64 (/.f64 (.f64 -1/3 a) b) (.f64 (sqrt.f64 x) (*.f64 (cos.f64 y) 2))))))

Compiler

Compiled 2089 to 1325 computations (36.6% saved)

regimes2.6s (26.3%)

Accuracy

Total 1.8b remaining (11.3%)

Threshold costs 0b (0%)

Counts

135 → 3

Compiler

Compiled 2737 to 1631 computations (40.4% saved)

bsearch2.0ms (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
2e+305	∈ [	1.7072181295150176e+305	,	6.650189199772942e+306	]
-1e+210	∈ [	-1.8581223082965668e+210	,	-9.692806923953476e+205	]

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
9×	`+-commutative_binary64`
9×	`sub-neg_binary64`
7×	`neg-sub0_binary64`
7×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	114
1	58	114
2	75	114
3	91	114
4	102	114
5	108	114
6	110	114

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 (-.f64 y (/.f64 (*.f64 z t) 3)) -999999999999999927113782419344605574598668153294882673458925392487194643703632279098558059466181044478400725843812838336795121561031396504666917998514458446354143529431921823271795036250068185162804696593727488) (fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (*.f64 b -3))) (if (<=.f64 (-.f64 y (/.f64 (*.f64 z t) 3)) 199999999999999987850710501107292437200805744402346499063815431426464091260264678056866185148810154968737122361123243451574343874852720610604715976817337655499746028833640220821354205063248818116874396050971031981532793651016436653190982245392158996106920698373251448128152087616919197241498086962762874880) (fma.f64 2 (*.f64 (sqrt.f64 x) (-.f64 (*.f64 (cos.f64 (*.f64 (*.f64 z t) -1/3)) (cos.f64 y)) (*.f64 (sin.f64 (*.f64 (*.f64 z t) -1/3)) (sin.f64 y)))) (*.f64 a (/.f64 -1/3 b))) (fma.f64 2 (sqrt.f64 (*.f64 x (pow.f64 (cos.f64 y) 2))) (*.f64 a (/.f64 -1/3 b)))))

Outputs

(if (<=.f64 (-.f64 y (/.f64 (*.f64 z t) 3)) -999999999999999927113782419344605574598668153294882673458925392487194643703632279098558059466181044478400725843812838336795121561031396504666917998514458446354143529431921823271795036250068185162804696593727488) (fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (*.f64 b -3))) (if (<=.f64 (-.f64 y (/.f64 (*.f64 z t) 3)) 199999999999999987850710501107292437200805744402346499063815431426464091260264678056866185148810154968737122361123243451574343874852720610604715976817337655499746028833640220821354205063248818116874396050971031981532793651016436653190982245392158996106920698373251448128152087616919197241498086962762874880) (fma.f64 2 (*.f64 (sqrt.f64 x) (-.f64 (*.f64 (cos.f64 (*.f64 (*.f64 z t) -1/3)) (cos.f64 y)) (*.f64 (sin.f64 (*.f64 (*.f64 z t) -1/3)) (sin.f64 y)))) (*.f64 a (/.f64 -1/3 b))) (fma.f64 2 (sqrt.f64 (*.f64 x (pow.f64 (cos.f64 y) 2))) (*.f64 a (/.f64 -1/3 b)))))

(if (<=.f64 (-.f64 y (/.f64 (*.f64 z t) 3)) -999999999999999927113782419344605574598668153294882673458925392487194643703632279098558059466181044478400725843812838336795121561031396504666917998514458446354143529431921823271795036250068185162804696593727488) (fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (*.f64 b -3))) (if (<=.f64 (-.f64 y (/.f64 (*.f64 z t) 3)) 199999999999999987850710501107292437200805744402346499063815431426464091260264678056866185148810154968737122361123243451574343874852720610604715976817337655499746028833640220821354205063248818116874396050971031981532793651016436653190982245392158996106920698373251448128152087616919197241498086962762874880) (fma.f64 2 (*.f64 (sqrt.f64 x) (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 (*.f64 z t) -1/3))) (*.f64 (sin.f64 (*.f64 (*.f64 z t) -1/3)) (sin.f64 y)))) (*.f64 a (/.f64 -1/3 b))) (fma.f64 2 (sqrt.f64 (*.f64 x (pow.f64 (cos.f64 y) 2))) (*.f64 a (/.f64 -1/3 b)))))

end532.0ms (5.3%)

Stop Event

1×

fuel

Remove

(sort z t)

Compiler

Compiled 1155 to 839 computations (27.4% saved)

Details

analyze1.4s (14.1%)

sample4.1s (40.4%)

preprocess59.0ms (0.6%)

simplify48.0ms (0.5%)

prune5.0ms (0%)

localize16.0ms (0.2%)

series28.0ms (0.3%)

rewrite57.0ms (0.6%)

simplify64.0ms (0.6%)

prune212.0ms (2.1%)

localize9.0ms (0.1%)

series19.0ms (0.2%)

rewrite52.0ms (0.5%)

simplify47.0ms (0.5%)

prune244.0ms (2.4%)

localize10.0ms (0.1%)

series6.0ms (0.1%)

rewrite59.0ms (0.6%)

simplify40.0ms (0.4%)

prune181.0ms (1.8%)

localize9.0ms (0.1%)

series12.0ms (0.1%)

rewrite56.0ms (0.6%)

simplify44.0ms (0.4%)

prune112.0ms (1.1%)

regimes2.6s (26.3%)

bsearch2.0ms (0%)

simplify6.0ms (0.1%)

end532.0ms (5.3%)

Profiling