Details

analyze1.9s (19.3%)

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 (40.4%)

Results

1.2s	1644×	body	1024	valid
974.0ms	4786×	body	128	valid
673.0ms	722×	body	2048	valid
657.0ms	3565×	body	128	invalid
430.0ms	748×	body	512	valid
141.0ms	354×	body	256	valid
3.0ms	2×	body	4096	valid

preprocess53.0ms (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)))

eval1.0ms (0%)

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

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

21.5b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 96 to 72 computations (25% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
✓	0.2b	(/.f64 (*.f64 z t) 3)
✓	0.2b	(/.f64 a (*.f64 b 3))
✓	25.4b	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))

series26.0ms (0.3%)

Counts

4 → 120

Calls

33 calls:

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

rewrite41.0ms (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 a (*.f64 b 3))
(/.f64 (*.f64 z t) 3)
(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))

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

simplify66.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

711×	`associate-r_binary64`
687×	`associate-l_binary64`
645×	`fma-def_binary64`
337×	`fma-neg_binary64`
286×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	100	1982
1	305	1827
2	970	1713
3	4517	1711

Stop Event

1×	node limit

Counts

227 → 146

Calls

Call 1

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

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

eval71.0ms (0.7%)

Compiler: Compiled 3847 to 2336 computations (39.3% saved)

prune327.0ms (3.3%)

Pruning

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	117	29	146
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	119	29	148

Error

16.7b

Counts

148 → 29

Alt Table

Click to see full alt table

Status	Error	Program
	21.9b	(-.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)))
	21.8b	(-.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)))
	21.9b	(-.f64 (.f64 (cos.f64 (fma.f64 t (.f64 z -1/3) y)) (.f64 2 (sqrt.f64 x))) (/.f64 a (.f64 b 3)))
	38.2b	(-.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 (+.f64 y (.f64 (.f64 z t) -1/3))) (.f64 2 (sqrt.f64 x))) 3) 1/3) (/.f64 a (*.f64 b 3)))
	21.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 z 3) t)))) (/.f64 a (.f64 b 3)))
	21.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (neg.f64 a) (/.f64 1 (*.f64 b -3))))
	21.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (+.f64 y (.f64 (.f64 z t) -1/3)))))) (/.f64 a (*.f64 b 3)))
▶	18.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
	26.9b	(-.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)))
	21.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 1 b) (/.f64 a 3)))
	33.7b	(-.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 (+.f64 y (.f64 (.f64 z t) -1/3))) (.f64 2 (sqrt.f64 x))))) 1) (/.f64 a (*.f64 b 3)))
	25.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (sqrt.f64 (pow.f64 (.f64 z (.f64 t 1/3)) 2))))) (/.f64 a (*.f64 b 3)))
	41.3b	(-.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)))
	45.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 (sqrt.f64 a) 3) (/.f64 (sqrt.f64 a) b)))
	21.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 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)))))) (/.f64 a (.f64 b 3)))
	21.6b	(-.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)))
	25.4b	(-.f64 (+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))) (/.f64 a (*.f64 b 3)))
	27.1b	(-.f64 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (.f64 2 (sqrt.f64 x))) (/.f64 a (*.f64 b 3)))
	21.6b	(-.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)))
	22.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (/.f64 3 (.f64 z t)) -1)))) (/.f64 a (.f64 b 3)))
	21.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (pow.f64 (/.f64 3 (/.f64 a b)) -1))
	38.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (sqrt.f64 (.f64 z (.f64 t 1/3))) 2)))) (/.f64 a (*.f64 b 3)))
	21.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 y (.f64 (.f64 z t) -1/3)))))) (/.f64 a (*.f64 b 3)))
	21.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 z (/.f64 1 (/.f64 3 t)))))) (/.f64 a (.f64 b 3)))
	43.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 1 (sqrt.f64 (.f64 3 b))) (/.f64 a (sqrt.f64 (.f64 3 b)))))
	21.8b	(-.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)))
	25.4b	(-.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)))
	30.3b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 t z) (.f64 (sin.f64 y) 2/3)) (.f64 (cos.f64 y) (+.f64 (.f64 -1/9 (.f64 t (.f64 (.f64 t z) z))) 2)))) (/.f64 a (.f64 b 3)))
	21.4b	(-.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)))

Compiler

Compiled 1668 to 1272 computations (23.7% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series38.0ms (0.4%)

Counts

2 → 49

Calls

18 calls:

Time	Variable		Point	Expression
24.0ms	b	@	inf	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
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	a	@	0	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
1.0ms	y	@	0	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))

rewrite73.0ms (0.7%)

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 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 expm1.f64 (log1p.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))))))))
((#(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 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Outputs

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

simplify49.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

917×	`fma-def_binary64`
370×	`associate-l_binary64`
285×	`unswap-sqr_binary64`
269×	`associate-r_binary64`
256×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	845
1	106	817
2	285	775
3	947	771
4	3965	771

Stop Event

1×	node limit

Counts

177 → 150

Calls

Call 1

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

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

eval108.0ms (1.1%)

Compiler: Compiled 4445 to 2719 computations (38.8% saved)

prune441.0ms (4.4%)

Pruning

37 alts after pruning (37 fresh and 0 done)

	Pruned	Kept	Total
New	172	17	189
Fresh	8	20	28
Picked	1	0	1
Done	0	0	0
Total	181	37	218

Error

16.4b

Counts

218 → 37

Alt Table

Click to see full alt table

Status	Error	Program
	21.9b	(-.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)))
	21.8b	(-.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)))
	21.9b	(-.f64 (.f64 (cos.f64 (fma.f64 t (.f64 z -1/3) y)) (.f64 2 (sqrt.f64 x))) (/.f64 a (.f64 b 3)))
	21.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 z 3) t)))) (/.f64 a (.f64 b 3)))
	22.3b	(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2))) (/.f64 a (*.f64 b 3)))
	43.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 1 (sqrt.f64 (.f64 3 b))) (/.f64 a (sqrt.f64 (.f64 3 b)))))
	33.3b	(-.f64 (pow.f64 (pow.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) 3) 1/3) (/.f64 a (*.f64 b 3)))
	30.1b	(/.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))))
	21.8b	(-.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)))
	61.5b	(log.f64 (exp.f64 (-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))))
	24.4b	(-.f64 (expm1.f64 (log1p.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))))) (/.f64 a (*.f64 b 3)))
	19.1b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))) 3) (/.f64 a (*.f64 b 3)))
	25.4b	(-.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)))
	35.3b	(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 a (*.f64 b 3)))
	30.3b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 t z) (.f64 (sin.f64 y) 2/3)) (.f64 (cos.f64 y) (+.f64 (.f64 -1/9 (.f64 t (.f64 (.f64 t z) z))) 2)))) (/.f64 a (.f64 b 3)))
	23.6b	(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
	33.7b	(-.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 (+.f64 y (.f64 (.f64 z t) -1/3))) (.f64 2 (sqrt.f64 x))))) 1) (/.f64 a (*.f64 b 3)))
	25.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (sqrt.f64 (pow.f64 (.f64 z (.f64 t 1/3)) 2))))) (/.f64 a (*.f64 b 3)))
	41.3b	(-.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)))
	35.2b	(*.f64 a (/.f64 -1/3 b))
	21.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 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)))))) (/.f64 a (.f64 b 3)))
	21.6b	(-.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)))
	25.4b	(-.f64 (+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))) (/.f64 a (*.f64 b 3)))
	27.1b	(-.f64 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (.f64 2 (sqrt.f64 x))) (/.f64 a (*.f64 b 3)))
▶	18.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (pow.f64 (/.f64 3 (/.f64 a b)) -1))
	21.6b	(-.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)))
	18.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1 b) (/.f64 a 3)))
	24.8b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) 3)) (/.f64 a (*.f64 b 3)))
	35.1b	(*.f64 -1/3 (/.f64 a b))
	38.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (sqrt.f64 (.f64 z (.f64 t 1/3))) 2)))) (/.f64 a (*.f64 b 3)))
	21.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 y (.f64 (.f64 z t) -1/3)))))) (/.f64 a (*.f64 b 3)))
	34.6b	(fma.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)))) (fma.f64 (neg.f64 (/.f64 1/3 b)) a (*.f64 a (/.f64 1/3 b))))
	18.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (.f64 (neg.f64 a) (/.f64 1 (.f64 b -3))))
	19.0b	(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 (.f64 x 4))) (*.f64 a (neg.f64 (/.f64 1/3 b))))
	19.1b	(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))))
	21.4b	(-.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)))
	26.9b	(-.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)))

Compiler

Compiled 1960 to 1506 computations (23.2% saved)

localize12.0ms (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))
	0.1b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
✓	0.2b	(/.f64 3 (/.f64 a b))
✓	0.6b	(pow.f64 (/.f64 3 (/.f64 a b)) -1)

series13.0ms (0.1%)

Counts

3 → 85

Calls

24 calls:

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

rewrite140.0ms (1.4%)

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

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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 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))))) (#(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)))))))))

simplify64.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

902×	`fma-def_binary64`
369×	`associate-l_binary64`
285×	`unswap-sqr_binary64`
279×	`associate-r_binary64`
256×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	43	997
1	111	982
2	292	958
3	966	956
4	3997	956

Stop Event

1×	node limit

Counts

353 → 284

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

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

eval219.0ms (2.2%)

Compiler: Compiled 9301 to 5603 computations (39.8% saved)

prune1.1s (10.8%)

Pruning

35 alts after pruning (35 fresh and 0 done)

	Pruned	Kept	Total
New	299	7	306
Fresh	8	28	36
Picked	1	0	1
Done	0	0	0
Total	308	35	343

Error

16.4b

Counts

343 → 35

Alt Table

Click to see full alt table

Status	Error	Program
	21.9b	(-.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)))
	21.8b	(-.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)))
	21.9b	(-.f64 (.f64 (cos.f64 (fma.f64 t (.f64 z -1/3) y)) (.f64 2 (sqrt.f64 x))) (/.f64 a (.f64 b 3)))
	35.3b	(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (pow.f64 (/.f64 3 (/.f64 a b)) -1))
	21.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 z 3) t)))) (/.f64 a (.f64 b 3)))
	22.3b	(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2))) (/.f64 a (*.f64 b 3)))
	18.9b	(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) (.f64 2 (sqrt.f64 x))) (neg.f64 (/.f64 a (.f64 3 b)))) (fma.f64 -1 (/.f64 a (.f64 3 b)) (/.f64 a (*.f64 3 b))))
	43.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 1 (sqrt.f64 (.f64 3 b))) (/.f64 a (sqrt.f64 (.f64 3 b)))))
	33.3b	(-.f64 (pow.f64 (pow.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) 3) 1/3) (/.f64 a (*.f64 b 3)))
	30.1b	(/.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))))
	19.0b	(+.f64 (fma.f64 (cbrt.f64 (.f64 x 4)) (.f64 (cbrt.f64 (.f64 2 (sqrt.f64 x))) (cos.f64 y)) (neg.f64 (/.f64 a (.f64 3 b)))) (fma.f64 -1 (/.f64 a (.f64 3 b)) (/.f64 a (.f64 3 b))))
	24.8b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) 3)) (pow.f64 (/.f64 3 (/.f64 a b)) -1))
	21.8b	(-.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)))
	61.5b	(log.f64 (exp.f64 (-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))))
▶	18.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 (/.f64 a b) 3))
	25.4b	(-.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)))
	24.4b	(-.f64 (expm1.f64 (log1p.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))))) (/.f64 a (*.f64 b 3)))
	19.1b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))) 3) (/.f64 a (*.f64 b 3)))
	23.6b	(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
	33.7b	(-.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 (+.f64 y (.f64 (.f64 z t) -1/3))) (.f64 2 (sqrt.f64 x))))) 1) (/.f64 a (*.f64 b 3)))
	25.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (sqrt.f64 (pow.f64 (.f64 z (.f64 t 1/3)) 2))))) (/.f64 a (*.f64 b 3)))
	41.3b	(-.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)))
	35.2b	(*.f64 a (/.f64 -1/3 b))
	21.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 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)))))) (/.f64 a (.f64 b 3)))
	21.6b	(-.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)))
	25.4b	(-.f64 (+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))) (/.f64 a (*.f64 b 3)))
	27.1b	(-.f64 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (.f64 2 (sqrt.f64 x))) (/.f64 a (*.f64 b 3)))
	21.6b	(-.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)))
	38.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (sqrt.f64 (.f64 z (.f64 t 1/3))) 2)))) (/.f64 a (*.f64 b 3)))
	21.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 y (.f64 (.f64 z t) -1/3)))))) (/.f64 a (*.f64 b 3)))
	18.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (.f64 (neg.f64 a) (/.f64 1 (.f64 b -3))))
	30.3b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 t z) (.f64 (sin.f64 y) 2/3)) (.f64 (cos.f64 y) (+.f64 (.f64 -1/9 (.f64 t (.f64 (.f64 t z) z))) 2)))) (/.f64 a (.f64 b 3)))
	21.4b	(-.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)))
	26.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (expm1.f64 (log1p.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
	18.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (pow.f64 (*.f64 (/.f64 b a) 3) -1))

Compiler

Compiled 1902 to 1464 computations (23% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series6.0ms (0.1%)

Counts

2 → 61

Calls

18 calls:

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

rewrite61.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

272×	`expm1-udef_binary64`
272×	`log1p-udef_binary64`
188×	`fma-neg_binary64`
156×	`add-sqr-sqrt_binary64`
149×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	27
1	307	25
2	4066	25

Stop Event

1×	node limit

Counts

2 → 83

Calls

Call 1

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

Outputs

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

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

simplify51.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

915×	`fma-def_binary64`
363×	`associate-l_binary64`
285×	`unswap-sqr_binary64`
276×	`associate-r_binary64`
256×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	829
1	106	814
2	285	790
3	952	788
4	3963	788

Stop Event

1×	node limit

Counts

144 → 99

Calls

Call 1

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

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

eval45.0ms (0.4%)

Compiler: Compiled 2276 to 1169 computations (48.6% saved)

prune235.0ms (2.3%)

Pruning

35 alts after pruning (34 fresh and 1 done)

	Pruned	Kept	Total
New	117	4	121
Fresh	4	30	34
Picked	0	1	1
Done	0	0	0
Total	121	35	156

Error

16.4b

Counts

156 → 35

Alt Table

Click to see full alt table

Status	Error	Program
	21.9b	(-.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)))
	21.8b	(-.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)))
	21.9b	(-.f64 (.f64 (cos.f64 (fma.f64 t (.f64 z -1/3) y)) (.f64 2 (sqrt.f64 x))) (/.f64 a (.f64 b 3)))
	35.3b	(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (pow.f64 (/.f64 3 (/.f64 a b)) -1))
	21.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 z 3) t)))) (/.f64 a (.f64 b 3)))
	22.3b	(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2))) (/.f64 a (*.f64 b 3)))
	18.9b	(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) (.f64 2 (sqrt.f64 x))) (neg.f64 (/.f64 a (.f64 3 b)))) (fma.f64 -1 (/.f64 a (.f64 3 b)) (/.f64 a (*.f64 3 b))))
	43.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 1 (sqrt.f64 (.f64 3 b))) (/.f64 a (sqrt.f64 (.f64 3 b)))))
	33.3b	(-.f64 (pow.f64 (pow.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) 3) 1/3) (/.f64 a (*.f64 b 3)))
	19.0b	(+.f64 (fma.f64 (cbrt.f64 (.f64 x 4)) (.f64 (cbrt.f64 (.f64 2 (sqrt.f64 x))) (cos.f64 y)) (neg.f64 (/.f64 a (.f64 3 b)))) (fma.f64 -1 (/.f64 a (.f64 3 b)) (/.f64 a (.f64 3 b))))
	24.8b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))) 3)) (pow.f64 (/.f64 3 (/.f64 a b)) -1))
✓	18.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 (/.f64 a b) 3))
	25.4b	(-.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)))
	24.4b	(-.f64 (expm1.f64 (log1p.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y))))) (/.f64 a (*.f64 b 3)))
	19.1b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))) 3) (/.f64 a (*.f64 b 3)))
	35.2b	(*.f64 a (/.f64 -1/3 b))
	26.9b	(-.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)))
	61.5b	(log.f64 (exp.f64 (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (/.f64 a b) -1/3))))
	23.6b	(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
	30.1b	(/.f64 1 (/.f64 (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (/.f64 a b) 1/3)) (-.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x 4)) (pow.f64 (*.f64 (/.f64 a b) 1/3) 2))))
	33.7b	(-.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 (+.f64 y (.f64 (.f64 z t) -1/3))) (.f64 2 (sqrt.f64 x))))) 1) (/.f64 a (*.f64 b 3)))
	25.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (sqrt.f64 (pow.f64 (.f64 z (.f64 t 1/3)) 2))))) (/.f64 a (*.f64 b 3)))
	41.3b	(-.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)))
	21.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 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)))))) (/.f64 a (.f64 b 3)))
	21.6b	(-.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)))
	25.4b	(-.f64 (+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))) (/.f64 a (*.f64 b 3)))
	27.1b	(-.f64 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (.f64 2 (sqrt.f64 x))) (/.f64 a (*.f64 b 3)))
	21.6b	(-.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)))
	38.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (sqrt.f64 (.f64 z (.f64 t 1/3))) 2)))) (/.f64 a (*.f64 b 3)))
	21.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 y (.f64 (.f64 z t) -1/3)))))) (/.f64 a (*.f64 b 3)))
	18.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (.f64 a (/.f64 1 (.f64 b 3))))
	21.8b	(-.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)))
	30.3b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 t z) (.f64 (sin.f64 y) 2/3)) (.f64 (cos.f64 y) (+.f64 (.f64 -1/9 (.f64 t (.f64 (.f64 t z) z))) 2)))) (/.f64 a (.f64 b 3)))
	21.4b	(-.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)))
	18.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (pow.f64 (*.f64 (/.f64 b a) 3) -1))

Compiler

Compiled 949 to 729 computations (23.2% saved)

regimes726.0ms (7.2%)

Accuracy

Total -45.2b remaining (-240.1%)

Threshold costs -45.2b (-240.1%)

Counts

59 → 1

Calls

Call 1

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

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

Results

Time	Error	Segments	Branch
35.0ms	18.8b	1	`x`
38.0ms	18.8b	1	`y`
36.0ms	18.8b	1	`z`
37.0ms	18.8b	1	`t`
37.0ms	18.8b	1	`a`
37.0ms	18.8b	1	`b`
38.0ms	18.8b	1	`(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))`
37.0ms	18.8b	1	`(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))`
37.0ms	18.8b	1	`(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))`
36.0ms	18.8b	1	`(*.f64 2 (sqrt.f64 x))`
36.0ms	18.8b	1	`(sqrt.f64 x)`
34.0ms	18.8b	1	`(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))`
35.0ms	18.8b	1	`(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))`
34.0ms	18.8b	1	`(-.f64 y (/.f64 (*.f64 z t) 3))`
33.0ms	18.8b	1	`(-.f64 y (/.f64 (*.f64 z t) 3))`
32.0ms	18.8b	1	`(/.f64 (*.f64 z t) 3)`
31.0ms	18.8b	1	`(*.f64 z t)`
37.0ms	18.8b	1	`(/.f64 a (*.f64 b 3))`
37.0ms	18.8b	1	`(*.f64 b 3)`

Compiler

Compiled 1426 to 914 computations (35.9% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
3×	`+-commutative_binary64`
3×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	20
1	19	20
2	26	20
3	30	20
4	33	20
5	34	20

Stop Event

1×

saturated

Calls

Call 1

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

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

end19.0ms (0.2%)

Stop Event

1×

fuel

Remove

(sort z t)

Compiler

Compiled 76 to 60 computations (21.1% saved)

Details

analyze1.9s (19.3%)

sample4.0s (40.4%)

preprocess53.0ms (0.5%)

simplify43.0ms (0.4%)

eval1.0ms (0%)

prune3.0ms (0%)

localize14.0ms (0.1%)

series26.0ms (0.3%)

rewrite41.0ms (0.4%)

simplify66.0ms (0.7%)

eval71.0ms (0.7%)

prune327.0ms (3.3%)

localize10.0ms (0.1%)

series38.0ms (0.4%)

rewrite73.0ms (0.7%)

simplify49.0ms (0.5%)

eval108.0ms (1.1%)

prune441.0ms (4.4%)

localize12.0ms (0.1%)

series13.0ms (0.1%)

rewrite140.0ms (1.4%)

simplify64.0ms (0.6%)

eval219.0ms (2.2%)

prune1.1s (10.8%)

localize10.0ms (0.1%)

series6.0ms (0.1%)

rewrite61.0ms (0.6%)

simplify51.0ms (0.5%)

eval45.0ms (0.4%)

prune235.0ms (2.3%)

regimes726.0ms (7.2%)

simplify3.0ms (0%)

end19.0ms (0.2%)

Profiling