Details

analyze1.6s (13.3%)

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
6.2%	68.5%	25.2%	13
9.3%	53%	37.7%	14

Compiler

Compiled 26 to 20 computations (23.1% saved)

sample4.0s (32.6%)

Results

1.2s	1652×	body	1024	valid
859.0ms	4760×	body	128	valid
836.0ms	739×	body	2048	valid
591.0ms	3434×	body	128	invalid
386.0ms	779×	body	512	valid
108.0ms	325×	body	256	valid
3.0ms	1×	body	4096	valid

Compiler

Compiled 52 to 40 computations (23.1% saved)

preprocess55.0ms (0.5%)

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)

simplify43.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

prune4.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

18.5b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	18.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))
	18.8b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (*.f64 a (/.f64 -1/3 b)))

Compiler

Compiled 138 to 101 computations (26.8% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (*.f64 z t) 3)
✓	0.2b	(/.f64 a (*.f64 b 3))
✓	0.3b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
✓	22.5b	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))

series28.0ms (0.2%)

Counts

4 → 120

Calls

33 calls:

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

rewrite46.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

203×	`add-sqr-sqrt_binary64`
196×	`*-un-lft-identity_binary64`
196×	`pow1_binary64`
188×	`add-exp-log_binary64`
188×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	46
1	393	46

Stop Event

1×	node limit

Counts

4 → 107

Calls

Call 1

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

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

simplify62.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

691×	`associate-l_binary64`
394×	`fma-def_binary64`
392×	`cancel-sign-sub-inv_binary64`
314×	`*-commutative_binary64`
214×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	91	1991
1	311	1933
2	1126	1770
3	4235	1770

Stop Event

1×	node limit

Counts

227 → 145

Calls

Call 1

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

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

prune311.0ms (2.6%)

Pruning

28 alts after pruning (28 fresh and 0 done)

	Pruned	Kept	Total
New	118	27	145
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	119	28	147

Error

12.8b

Counts

147 → 28

Alt Table

Status	Error	Program
	35.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (cbrt.f64 (pow.f64 (.f64 a (/.f64 1/3 b)) 3)))
	18.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))))) (/.f64 a (.f64 b 3)))
	25.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z)))) (/.f64 a (*.f64 b 3)))
	24.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (expm1.f64 (log1p.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
	38.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (sqrt.f64 (pow.f64 (.f64 a (/.f64 1/3 b)) 2)))
	18.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 y (.f64 (.f64 z t) -1/3))) 3))) (/.f64 a (*.f64 b 3)))
	18.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (pow.f64 (/.f64 3 (/.f64 a b)) -1))
	18.8b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (*.f64 a (/.f64 -1/3 b)))
▶	15.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
	32.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (pow.f64 (.f64 z (.f64 t 1/3)) 3) 1/3)))) (/.f64 a (*.f64 b 3)))
	19.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (pow.f64 (cbrt.f64 (.f64 a (/.f64 1/3 b))) 3))
	18.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 y (.f64 (.f64 z t) -1/3)))) 3)) (/.f64 a (*.f64 b 3)))
	18.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 1 b) (/.f64 a 3)))
	19.3b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (+.f64 y (.f64 (.f64 z t) -1/3))) (sqrt.f64 (.f64 x 4)))) 3) (/.f64 a (*.f64 b 3)))
	18.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 3)))) (/.f64 a (*.f64 b 3)))
	39.6b	(-.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 (+.f64 y (.f64 (.f64 z t) -1/3))) (sqrt.f64 (.f64 x 4))) 3) 1/3) (/.f64 a (*.f64 b 3)))
	18.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (/.f64 (-.f64 (.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3))))) (.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))))) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
	18.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (cbrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
	18.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
	18.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3))))) (/.f64 a (*.f64 b 3)))
	40.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (/.f64 1/3 b))))
	18.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 y (.f64 (.f64 z t) -1/3))))) 1)) (/.f64 a (*.f64 b 3)))
	18.7b	(-.f64 (+.f64 (.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (sqrt.f64 (.f64 x 4))) (.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) (sqrt.f64 (.f64 x 4)))) (/.f64 a (*.f64 b 3)))
	25.8b	(-.f64 (expm1.f64 (log1p.f64 (.f64 (cos.f64 (+.f64 y (.f64 (.f64 z t) -1/3))) (sqrt.f64 (.f64 x 4))))) (/.f64 a (*.f64 b 3)))
	18.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 y (.f64 (.f64 z t) -1/3))))))) (/.f64 a (*.f64 b 3)))
	21.4b	(-.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 (+.f64 y (.f64 (.f64 z t) -1/3))) 2) (.f64 x 4))) (/.f64 a (*.f64 b 3)))
	18.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) 3) (pow.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) 3)) (+.f64 (.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3))))) (-.f64 (.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))) (.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))))))) (/.f64 a (.f64 b 3)))
	18.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (.f64 (cbrt.f64 (cos.f64 (+.f64 y (.f64 (.f64 z t) -1/3)))) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 y (.f64 (.f64 z t) -1/3))) 2)))) (/.f64 a (.f64 b 3)))

Compiler

Compiled 5686 to 3721 computations (34.6% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series15.0ms (0.1%)

Counts

2 → 49

Calls

18 calls:

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

rewrite75.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

344×	`fma-def_binary64`
266×	`expm1-udef_binary64`
266×	`log1p-udef_binary64`
185×	`fma-neg_binary64`
152×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	31
1	299	31
2	3955	31

Stop Event

1×	node limit

Counts

2 → 128

Calls

Call 1

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

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

simplify49.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

472×	`cancel-sign-sub-inv_binary64`
428×	`fma-neg_binary64`
423×	`associate-l_binary64`
374×	`sub-neg_binary64`
357×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	871
1	119	801
2	346	775
3	1142	771
4	4327	771

Stop Event

1×	node limit

Counts

177 → 149

Calls

Call 1

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

prune419.0ms (3.4%)

Pruning

34 alts after pruning (34 fresh and 0 done)

	Pruned	Kept	Total
New	170	18	188
Fresh	11	16	27
Picked	1	0	1
Done	0	0	0
Total	182	34	216

Error

12.6b

Counts

216 → 34

Alt Table

Status	Error	Program
	17.4b	(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2))) (/.f64 a (*.f64 b 3)))
	18.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))))) (/.f64 a (.f64 b 3)))
	38.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) (/.f64 1/3 b))))
	39.4b	(sqrt.f64 (pow.f64 (-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 2))
	25.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z)))) (/.f64 a (*.f64 b 3)))
	15.5b	(fma.f64 (cbrt.f64 (.f64 x 4)) (.f64 (cbrt.f64 (sqrt.f64 (.f64 x 4))) (cos.f64 y)) (.f64 a (neg.f64 (/.f64 1/3 b))))
	35.0b	(-.f64 (pow.f64 (pow.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) 3) 1/3) (/.f64 a (*.f64 b 3)))
	24.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (expm1.f64 (log1p.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
	38.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (sqrt.f64 (pow.f64 (.f64 a (/.f64 1/3 b)) 2)))
	15.5b	(fma.f64 (.f64 (sqrt.f64 (.f64 x 4)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)) (*.f64 a (neg.f64 (/.f64 1/3 b))))
	18.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 y (.f64 (.f64 z t) -1/3))))))) (/.f64 a (*.f64 b 3)))
	15.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1 b) (/.f64 a 3)))
	25.0b	(-.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))))) 1) (/.f64 a (*.f64 b 3)))
	21.4b	(-.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 (+.f64 y (.f64 (.f64 z t) -1/3))) 2) (.f64 x 4))) (/.f64 a (*.f64 b 3)))
▶	15.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (pow.f64 (/.f64 3 (/.f64 a b)) -1))
	32.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (pow.f64 (.f64 z (.f64 t 1/3)) 3) 1/3)))) (/.f64 a (*.f64 b 3)))
	18.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 y (.f64 (.f64 z t) -1/3)))) 3)) (/.f64 a (*.f64 b 3)))
	19.3b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (+.f64 y (.f64 (.f64 z t) -1/3))) (sqrt.f64 (.f64 x 4)))) 3) (/.f64 a (*.f64 b 3)))
	28.4b	(/.f64 1 (/.f64 (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b))) (-.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2)) (pow.f64 (*.f64 a (/.f64 1/3 b)) 2))))
	18.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 3)))) (/.f64 a (*.f64 b 3)))
	39.6b	(-.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 (+.f64 y (.f64 (.f64 z t) -1/3))) (sqrt.f64 (.f64 x 4))) 3) 1/3) (/.f64 a (*.f64 b 3)))
	33.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (cbrt.f64 (pow.f64 (*.f64 a (/.f64 1/3 b)) 3)))
	18.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (/.f64 (-.f64 (.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3))))) (.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))))) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
	21.9b	(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
	18.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) 3) (pow.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) 3)) (+.f64 (.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3))))) (-.f64 (.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))) (.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))))))) (/.f64 a (.f64 b 3)))
	28.4b	(.f64 (-.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2)) (pow.f64 (.f64 a (/.f64 1/3 b)) 2)) (/.f64 1 (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b)))))
	41.2b	(fma.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) 3) (pow.f64 (.f64 a (/.f64 1/3 b)) 3)) (/.f64 1 (fma.f64 (.f64 a (/.f64 1/3 b)) (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b))) (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 a (/.f64 1/3 b)))) (pow.f64 (cbrt.f64 (.f64 a (/.f64 1/3 b))) 2) (*.f64 a (/.f64 1/3 b))))
	33.3b	(*.f64 a (/.f64 -1/3 b))
	18.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (cbrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
	18.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
	18.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3))))) (/.f64 a (*.f64 b 3)))
	15.8b	(.f64 (cbrt.f64 (-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (.f64 a (/.f64 1/3 b)))) (pow.f64 (cbrt.f64 (-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))) 2))
	35.8b	(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 a (*.f64 b 3)))
	15.4b	(fma.f64 (sqrt.f64 (sqrt.f64 (.f64 x 4))) (.f64 (sqrt.f64 (sqrt.f64 (.f64 x 4))) (cos.f64 y)) (.f64 a (neg.f64 (/.f64 1/3 b))))

Compiler

Compiled 6550 to 4315 computations (34.1% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (pow.f64 (/.f64 3 (/.f64 a b)) -1))
	0.2b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
✓	0.2b	(/.f64 3 (/.f64 a b))
✓	0.5b	(pow.f64 (/.f64 3 (/.f64 a b)) -1)

series14.0ms (0.1%)

Counts

3 → 85

Calls

24 calls:

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

rewrite106.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

941×	`prod-diff_binary64`
206×	`egg-rr`
174×	`add-sqr-sqrt_binary64`
167×	`pow1_binary64`
166×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	40
1	347	34
2	4466	34

Stop Event

1×	node limit

Counts

3 → 268

Calls

Call 1

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

Outputs

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

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

simplify57.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

478×	`fma-def_binary64`
392×	`associate-l_binary64`
371×	`cancel-sign-sub-inv_binary64`
300×	`fma-neg_binary64`
295×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	1040
1	104	977
2	276	965
3	894	958
4	3968	958

Stop Event

1×	node limit

Counts

353 → 282

Calls

Call 1

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

prune798.0ms (6.5%)

Pruning

33 alts after pruning (32 fresh and 1 done)

	Pruned	Kept	Total
New	303	1	304
Fresh	2	31	33
Picked	0	1	1
Done	0	0	0
Total	305	33	338

Error

12.6b

Counts

338 → 33

Alt Table

Status	Error	Program
	17.4b	(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2))) (/.f64 a (*.f64 b 3)))
	18.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))))) (/.f64 a (.f64 b 3)))
	39.4b	(sqrt.f64 (pow.f64 (-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 2))
	25.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z)))) (/.f64 a (*.f64 b 3)))
	15.5b	(fma.f64 (cbrt.f64 (.f64 x 4)) (.f64 (cbrt.f64 (sqrt.f64 (.f64 x 4))) (cos.f64 y)) (.f64 a (neg.f64 (/.f64 1/3 b))))
	35.0b	(-.f64 (pow.f64 (pow.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) 3) 1/3) (/.f64 a (*.f64 b 3)))
	24.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (expm1.f64 (log1p.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
	38.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (sqrt.f64 (pow.f64 (.f64 a (/.f64 1/3 b)) 2)))
	15.5b	(fma.f64 (.f64 (sqrt.f64 (.f64 x 4)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)) (*.f64 a (neg.f64 (/.f64 1/3 b))))
	18.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 y (.f64 (.f64 z t) -1/3))))))) (/.f64 a (*.f64 b 3)))
	21.4b	(-.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 (+.f64 y (.f64 (.f64 z t) -1/3))) 2) (.f64 x 4))) (/.f64 a (*.f64 b 3)))
✓	15.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (pow.f64 (/.f64 3 (/.f64 a b)) -1))
	32.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (pow.f64 (.f64 z (.f64 t 1/3)) 3) 1/3)))) (/.f64 a (*.f64 b 3)))
	18.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 y (.f64 (.f64 z t) -1/3)))) 3)) (/.f64 a (*.f64 b 3)))
	19.3b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (+.f64 y (.f64 (.f64 z t) -1/3))) (sqrt.f64 (.f64 x 4)))) 3) (/.f64 a (*.f64 b 3)))
	28.4b	(/.f64 1 (/.f64 (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b))) (-.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2)) (pow.f64 (*.f64 a (/.f64 1/3 b)) 2))))
	18.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 3)))) (/.f64 a (*.f64 b 3)))
	39.6b	(-.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 (+.f64 y (.f64 (.f64 z t) -1/3))) (sqrt.f64 (.f64 x 4))) 3) 1/3) (/.f64 a (*.f64 b 3)))
	33.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (cbrt.f64 (pow.f64 (*.f64 a (/.f64 1/3 b)) 3)))
	18.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (/.f64 (-.f64 (.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3))))) (.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))))) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
	21.9b	(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
	18.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) 3) (pow.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) 3)) (+.f64 (.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3))))) (-.f64 (.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))) (.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))))))) (/.f64 a (.f64 b 3)))
	28.4b	(.f64 (-.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2)) (pow.f64 (.f64 a (/.f64 1/3 b)) 2)) (/.f64 1 (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b)))))
▶	15.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 (/.f64 1 (/.f64 3 a)) b))
	41.2b	(fma.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) 3) (pow.f64 (.f64 a (/.f64 1/3 b)) 3)) (/.f64 1 (fma.f64 (.f64 a (/.f64 1/3 b)) (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b))) (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 a (/.f64 1/3 b)))) (pow.f64 (cbrt.f64 (.f64 a (/.f64 1/3 b))) 2) (*.f64 a (/.f64 1/3 b))))
	33.3b	(*.f64 a (/.f64 -1/3 b))
	18.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (cbrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
	18.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
	18.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3))))) (/.f64 a (*.f64 b 3)))
	15.8b	(.f64 (cbrt.f64 (-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (.f64 a (/.f64 1/3 b)))) (pow.f64 (cbrt.f64 (-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))) 2))
	35.8b	(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 a (*.f64 b 3)))
	15.4b	(fma.f64 (sqrt.f64 (sqrt.f64 (.f64 x 4))) (.f64 (sqrt.f64 (sqrt.f64 (.f64 x 4))) (cos.f64 y)) (.f64 a (neg.f64 (/.f64 1/3 b))))
	25.0b	(-.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))))) 1) (/.f64 a (*.f64 b 3)))

Compiler

Compiled 11327 to 7136 computations (37% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series8.0ms (0.1%)

Counts

3 → 73

Calls

21 calls:

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

rewrite72.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

294×	`log1p-udef_binary64`
174×	`add-sqr-sqrt_binary64`
165×	`*-un-lft-identity_binary64`
165×	`pow1_binary64`
161×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	31
1	348	29
2	4557	29

Stop Event

1×	node limit

Counts

3 → 106

Calls

Call 1

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

Outputs

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

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

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

simplify49.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

484×	`fma-def_binary64`
374×	`associate-l_binary64`
371×	`cancel-sign-sub-inv_binary64`
300×	`fma-neg_binary64`
295×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	920
1	100	857
2	270	845
3	889	838
4	3920	838

Stop Event

1×	node limit

Counts

179 → 120

Calls

Call 1

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

prune298.0ms (2.4%)

Pruning

33 alts after pruning (31 fresh and 2 done)

	Pruned	Kept	Total
New	138	4	142
Fresh	4	27	31
Picked	0	1	1
Done	0	1	1
Total	142	33	175

Error

12.6b

Counts

175 → 33

Alt Table

Status	Error	Program
	17.4b	(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2))) (/.f64 a (*.f64 b 3)))
	18.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))))) (/.f64 a (.f64 b 3)))
	25.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z)))) (/.f64 a (*.f64 b 3)))
	15.5b	(fma.f64 (cbrt.f64 (.f64 x 4)) (.f64 (cbrt.f64 (sqrt.f64 (.f64 x 4))) (cos.f64 y)) (.f64 a (neg.f64 (/.f64 1/3 b))))
	35.0b	(-.f64 (pow.f64 (pow.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) 3) 1/3) (/.f64 a (*.f64 b 3)))
	24.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (expm1.f64 (log1p.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
	38.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (sqrt.f64 (pow.f64 (.f64 a (/.f64 1/3 b)) 2)))
	15.5b	(fma.f64 (.f64 (sqrt.f64 (.f64 x 4)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)) (*.f64 a (neg.f64 (/.f64 1/3 b))))
	18.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 y (.f64 (.f64 z t) -1/3))))))) (/.f64 a (*.f64 b 3)))
	15.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 (*.f64 1/3 (pow.f64 (/.f64 1 a) -1)) b))
	25.0b	(-.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))))) 1) (/.f64 a (*.f64 b 3)))
	39.4b	(sqrt.f64 (pow.f64 (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (.f64 -1/3 a) b)) 2))
	21.4b	(-.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 (+.f64 y (.f64 (.f64 z t) -1/3))) 2) (.f64 x 4))) (/.f64 a (*.f64 b 3)))
✓	15.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (pow.f64 (/.f64 3 (/.f64 a b)) -1))
	32.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (pow.f64 (.f64 z (.f64 t 1/3)) 3) 1/3)))) (/.f64 a (*.f64 b 3)))
	18.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 y (.f64 (.f64 z t) -1/3)))) 3)) (/.f64 a (*.f64 b 3)))
	15.8b	(.f64 (cbrt.f64 (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (.f64 -1/3 a) b))) (pow.f64 (cbrt.f64 (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (*.f64 -1/3 a) b))) 2))
	39.6b	(-.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 (+.f64 y (.f64 (.f64 z t) -1/3))) (sqrt.f64 (.f64 x 4))) 3) 1/3) (/.f64 a (*.f64 b 3)))
	18.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 3)))) (/.f64 a (*.f64 b 3)))
	28.3b	(/.f64 (-.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2)) (pow.f64 (.f64 1/3 (/.f64 a b)) 2)) (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 1/3 (/.f64 a b))))
	33.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (cbrt.f64 (pow.f64 (*.f64 a (/.f64 1/3 b)) 3)))
	18.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (/.f64 (-.f64 (.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3))))) (.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))))) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
	21.9b	(-.f64 (.f64 2 (sqrt.f64 x)) (.f64 1/3 (/.f64 a b)))
	18.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) 3) (pow.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) 3)) (+.f64 (.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3))))) (-.f64 (.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))) (.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))))))) (/.f64 a (.f64 b 3)))
✓	15.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 (/.f64 1 (/.f64 3 a)) b))
	41.2b	(fma.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) 3) (pow.f64 (.f64 a (/.f64 1/3 b)) 3)) (/.f64 1 (fma.f64 (.f64 a (/.f64 1/3 b)) (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b))) (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 a (/.f64 1/3 b)))) (pow.f64 (cbrt.f64 (.f64 a (/.f64 1/3 b))) 2) (*.f64 a (/.f64 1/3 b))))
	33.3b	(*.f64 a (/.f64 -1/3 b))
	18.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (cbrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
	18.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
	18.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3))))) (/.f64 a (*.f64 b 3)))
	35.8b	(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 a (*.f64 b 3)))
	15.4b	(fma.f64 (sqrt.f64 (sqrt.f64 (.f64 x 4))) (.f64 (sqrt.f64 (sqrt.f64 (.f64 x 4))) (cos.f64 y)) (.f64 a (neg.f64 (/.f64 1/3 b))))
	19.3b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (+.f64 y (.f64 (.f64 z t) -1/3))) (sqrt.f64 (.f64 x 4)))) 3) (/.f64 a (*.f64 b 3)))

Compiler

Compiled 3754 to 2336 computations (37.8% saved)

regimes3.4s (28.2%)

Accuracy

Total 1.6b remaining (10.1%)

Threshold costs 0b (0%)

Counts

218 → 3

Compiler

Compiled 4564 to 2759 computations (39.5% saved)

bsearch2.0ms (0%)

Algorithm

2×	left-value

Calls

2 calls:

0.0ms	(*.f64 z t)
0.0ms	(*.f64 z t)

Steps

Iters	Point		Range
5e+168	∈ [	4.335981443634078e+168	,	7.36624401327566e+169	]
-3.5e+217	∈ [	-3.5855792197574843e+217	,	-3.0536002836199877e+217	]

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	101
1	57	101
2	75	101
3	85	101
4	92	101
5	94	101

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 (*.f64 z t) -34999999999999997994132281286713389704093865347650947752429440612180607726620315707490629974089947587096862321145339676068181546378242377393284861845262348484843703213298099419374010854891907469237308569183363283288064) (fma.f64 (/.f64 a b) -1/3 (*.f64 2 (sqrt.f64 x))) (if (<=.f64 (*.f64 z t) 4999999999999999669302474173714872811859751082151657593058464111538503233498018238128462162979229735854572772998492607377696904067224063966397292527018643087471925002240) (-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 (*.f64 z t) -1/3))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 (*.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3))) (-.f64 (sqrt.f64 (*.f64 (*.f64 x 4) (pow.f64 (cos.f64 y) 2))) (/.f64 a (*.f64 b 3)))))

Outputs

(if (<=.f64 (*.f64 z t) -34999999999999997994132281286713389704093865347650947752429440612180607726620315707490629974089947587096862321145339676068181546378242377393284861845262348484843703213298099419374010854891907469237308569183363283288064) (fma.f64 (/.f64 a b) -1/3 (*.f64 2 (sqrt.f64 x))) (if (<=.f64 (*.f64 z t) 4999999999999999669302474173714872811859751082151657593058464111538503233498018238128462162979229735854572772998492607377696904067224063966397292527018643087471925002240) (-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 (*.f64 z t) -1/3))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 (*.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3))) (-.f64 (sqrt.f64 (*.f64 (*.f64 x 4) (pow.f64 (cos.f64 y) 2))) (/.f64 a (*.f64 b 3)))))

end586.0ms (4.8%)

Stop Event

1×

fuel

Remove

(sort z t)

Compiler

Compiled 1311 to 958 computations (26.9% saved)

Details

analyze1.6s (13.3%)

sample4.0s (32.6%)

preprocess55.0ms (0.5%)

simplify43.0ms (0.4%)

prune4.0ms (0%)

localize13.0ms (0.1%)

series28.0ms (0.2%)

rewrite46.0ms (0.4%)

simplify62.0ms (0.5%)

prune311.0ms (2.6%)

localize11.0ms (0.1%)

series15.0ms (0.1%)

rewrite75.0ms (0.6%)

simplify49.0ms (0.4%)

prune419.0ms (3.4%)

localize11.0ms (0.1%)

series14.0ms (0.1%)

rewrite106.0ms (0.9%)

simplify57.0ms (0.5%)

prune798.0ms (6.5%)

localize11.0ms (0.1%)

series8.0ms (0.1%)

rewrite72.0ms (0.6%)

simplify49.0ms (0.4%)

prune298.0ms (2.4%)

regimes3.4s (28.2%)

bsearch2.0ms (0%)

simplify5.0ms (0%)

end586.0ms (4.8%)

Profiling