Details

analyze1.7s (18.2%)

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)

sample4.2s (46.6%)

Results

1.3s	1722×	body	1024	valid
925.0ms	4702×	body	128	valid
821.0ms	753×	body	2048	valid
697.0ms	3569×	body	128	invalid
351.0ms	711×	body	512	valid
129.0ms	367×	body	256	valid
3.0ms	1×	body	4096	valid

Compiler

Compiled 52 to 40 computations (23.1% saved)

preprocess49.0ms (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)

simplify41.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

prune4.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

20.9b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	21.1b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (*.f64 a (/.f64 -1/3 b)))
	21.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))

Compiler

Compiled 138 to 101 computations (26.8% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y)))
✓	0.3b	(*.f64 t -1/3)
✓	0.4b	(/.f64 -1/3 b)
✓	25.0b	(cos.f64 (fma.f64 z (*.f64 t -1/3) y))

series16.0ms (0.2%)

Counts

4 → 84

Calls

27 calls:

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

rewrite61.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 86

Calls

Call 1

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

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

simplify61.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

170 → 124

Calls

Call 1

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

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

prune212.0ms (2.3%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	101	23	124
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	102	24	126

Error

13.8b

Counts

126 → 24

Alt Table

Status	Error	Program
	48.1b	(fma.f64 2 (+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (sqrt.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (sqrt.f64 x))))) (*.f64 a (/.f64 -1/3 b)))
	24.5b	(fma.f64 2 (.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2))) (*.f64 a (/.f64 -1/3 b)))
	48.1b	(fma.f64 2 (+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (sqrt.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (sqrt.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (sqrt.f64 x))))) (*.f64 a (/.f64 -1/3 b)))
	28.3b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 a (/.f64 -1/3 b)))
	53.3b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (pow.f64 (sqrt.f64 (.f64 t -1/3)) 2) y))) (*.f64 a (/.f64 -1/3 b)))
	20.9b	(fma.f64 2 (.f64 (sqrt.f64 x) (-.f64 (.f64 (cos.f64 (.f64 (.f64 z t) -1/3)) (cos.f64 y)) (.f64 (sin.f64 (.f64 (.f64 z t) -1/3)) (sin.f64 y)))) (.f64 a (/.f64 -1/3 b)))
	39.8b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (pow.f64 (pow.f64 (.f64 t -1/3) 3) 1/3) y))) (*.f64 a (/.f64 -1/3 b)))
▶	16.1b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 -1/3 b)))
	21.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))
	21.4b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (*.f64 a (pow.f64 (cbrt.f64 (/.f64 -1/3 b)) 3)))
	21.7b	(fma.f64 2 (.f64 (sqrt.f64 x) (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))) (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))))) (.f64 a (/.f64 -1/3 b)))
	35.3b	(fma.f64 2 (exp.f64 (log.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (sqrt.f64 x)))) (*.f64 a (/.f64 -1/3 b)))
	31.1b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (.f64 a (.f64 (cbrt.f64 (/.f64 -1/3 b)) (cbrt.f64 (/.f64 1/9 (*.f64 b b))))))
	37.9b	(fma.f64 2 (.f64 (sqrt.f64 x) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 z (.f64 t -1/3) y)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 z (.f64 t -1/3) y)))) (sin.f64 1)))) (.f64 a (/.f64 -1/3 b)))
	24.5b	(fma.f64 2 (sqrt.f64 (.f64 x (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2))) (*.f64 a (/.f64 -1/3 b)))
	21.1b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (.f64 a (.f64 -1/3 (pow.f64 b -1))))
	21.4b	(fma.f64 2 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (sqrt.f64 x))) 3) (*.f64 a (/.f64 -1/3 b)))
	21.1b	(fma.f64 2 (.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 3))) (*.f64 a (/.f64 -1/3 b)))
	26.6b	(fma.f64 2 (+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (.f64 (.f64 (sin.f64 y) (.f64 t z)) (sqrt.f64 x)))) (.f64 a (/.f64 -1/3 b)))
	53.5b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (exp.f64 (log.f64 (.f64 t -1/3))) y))) (*.f64 a (/.f64 -1/3 b)))
	20.7b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (pow.f64 (cbrt.f64 (.f64 t -1/3)) 3) y))) (*.f64 a (/.f64 -1/3 b)))
	34.4b	(fma.f64 2 (pow.f64 (sqrt.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (sqrt.f64 x))) 2) (*.f64 a (/.f64 -1/3 b)))
	38.3b	(fma.f64 2 (pow.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (sqrt.f64 x)) 3) 1/3) (*.f64 a (/.f64 -1/3 b)))
	21.1b	(fma.f64 2 (.f64 (sqrt.f64 x) (log.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))) (*.f64 a (/.f64 -1/3 b)))

Compiler

Compiled 4514 to 2954 computations (34.6% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 -1/3 b)))
✓	0.2b	(*.f64 (sqrt.f64 x) (cos.f64 y))
✓	0.2b	(*.f64 a (/.f64 -1/3 b))
	0.4b	(/.f64 -1/3 b)

series17.0ms (0.2%)

Counts

3 → 73

Calls

24 calls:

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

rewrite52.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	33
1	267	33
2	3132	33

Stop Event

1×	node limit

Counts

3 → 74

Calls

Call 1

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

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

Outputs

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

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

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

simplify48.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	1026
1	137	960
2	406	934
3	1435	925
4	4226	925

Stop Event

1×	node limit

Counts

147 → 97

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

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

prune212.0ms (2.3%)

Pruning

33 alts after pruning (33 fresh and 0 done)

	Pruned	Kept	Total
New	107	15	122
Fresh	5	18	23
Picked	1	0	1
Done	0	0	0
Total	113	33	146

Error

13.8b

Counts

146 → 33

Alt Table

Status	Error	Program
	48.1b	(fma.f64 2 (+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (sqrt.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (sqrt.f64 x))))) (*.f64 a (/.f64 -1/3 b)))
	24.5b	(fma.f64 2 (.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2))) (*.f64 a (/.f64 -1/3 b)))
	22.0b	(fma.f64 2 (expm1.f64 (log1p.f64 (.f64 (sqrt.f64 x) (cos.f64 y)))) (.f64 a (/.f64 -1/3 b)))
	53.5b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (exp.f64 (log.f64 (.f64 t -1/3))) y))) (*.f64 a (/.f64 -1/3 b)))
	28.4b	(fma.f64 2 (exp.f64 (log.f64 (.f64 (sqrt.f64 x) (cos.f64 y)))) (.f64 a (/.f64 -1/3 b)))
	23.8b	(fma.f64 2 (sqrt.f64 x) (*.f64 a (/.f64 -1/3 b)))
	39.1b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (/.f64 (.f64 a -1/3) (sqrt.f64 b)) (sqrt.f64 b)))
▶	16.1b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))
	53.3b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (pow.f64 (sqrt.f64 (.f64 t -1/3)) 2) y))) (*.f64 a (/.f64 -1/3 b)))
	20.9b	(fma.f64 2 (.f64 (sqrt.f64 x) (-.f64 (.f64 (cos.f64 (.f64 (.f64 z t) -1/3)) (cos.f64 y)) (.f64 (sin.f64 (.f64 (.f64 z t) -1/3)) (sin.f64 y)))) (.f64 a (/.f64 -1/3 b)))
	16.2b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (*.f64 (pow.f64 b -1) -1/3)))
	19.9b	(fma.f64 2 (sqrt.f64 (.f64 x (pow.f64 (cos.f64 y) 2))) (.f64 a (/.f64 -1/3 b)))
	20.7b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (pow.f64 (cbrt.f64 (.f64 t -1/3)) 3) y))) (*.f64 a (/.f64 -1/3 b)))
	27.5b	(fma.f64 2 (pow.f64 (sqrt.f64 (.f64 (sqrt.f64 x) (cos.f64 y))) 2) (.f64 a (/.f64 -1/3 b)))
	39.8b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (pow.f64 (pow.f64 (.f64 t -1/3) 3) 1/3) y))) (*.f64 a (/.f64 -1/3 b)))
	21.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))
	16.5b	(fma.f64 2 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (cos.f64 y))) 3) (.f64 a (/.f64 -1/3 b)))
	21.4b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (*.f64 a (pow.f64 (cbrt.f64 (/.f64 -1/3 b)) 3)))
	21.7b	(fma.f64 2 (.f64 (sqrt.f64 x) (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))) (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))))) (.f64 a (/.f64 -1/3 b)))
	32.0b	(fma.f64 2 (pow.f64 (pow.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) 3) 1/3) (.f64 a (/.f64 -1/3 b)))
	35.3b	(fma.f64 2 (exp.f64 (log.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (sqrt.f64 x)))) (*.f64 a (/.f64 -1/3 b)))
	37.9b	(fma.f64 2 (.f64 (sqrt.f64 x) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 z (.f64 t -1/3) y)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 z (.f64 t -1/3) y)))) (sin.f64 1)))) (.f64 a (/.f64 -1/3 b)))
	36.7b	(exp.f64 (log.f64 (fma.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y) (/.f64 (.f64 a -1/3) b))))
	43.9b	(fma.f64 2 (+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (cos.f64 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (cos.f64 y))))) (*.f64 a (/.f64 -1/3 b)))
	43.9b	(fma.f64 2 (+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (cos.f64 y))) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (cos.f64 y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (cos.f64 y))))) (.f64 a (/.f64 -1/3 b)))
	21.4b	(fma.f64 2 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (sqrt.f64 x))) 3) (*.f64 a (/.f64 -1/3 b)))
	21.1b	(fma.f64 2 (.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 3))) (*.f64 a (/.f64 -1/3 b)))
	26.6b	(fma.f64 2 (+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (.f64 (.f64 (sin.f64 y) (.f64 t z)) (sqrt.f64 x)))) (.f64 a (/.f64 -1/3 b)))
	35.5b	(fma.f64 (sqrt.f64 x) (-.f64 2 (*.f64 y y)) (/.f64 -1/3 (/.f64 b a)))
	38.3b	(fma.f64 2 (pow.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (sqrt.f64 x)) 3) 1/3) (*.f64 a (/.f64 -1/3 b)))
	16.9b	(pow.f64 (cbrt.f64 (fma.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y) (/.f64 (.f64 a -1/3) b))) 3)
	21.1b	(fma.f64 2 (.f64 (sqrt.f64 x) (log.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))) (*.f64 a (/.f64 -1/3 b)))
	28.3b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 a (/.f64 -1/3 b)))

Compiler

Compiled 3808 to 2438 computations (36% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series6.0ms (0.1%)

Counts

2 → 37

Calls

18 calls:

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

rewrite50.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

Outputs

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

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

simplify40.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

91 → 67

Calls

Call 1

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

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

prune155.0ms (1.7%)

Pruning

32 alts after pruning (32 fresh and 0 done)

	Pruned	Kept	Total
New	91	3	94
Fresh	3	29	32
Picked	1	0	1
Done	0	0	0
Total	95	32	127

Error

13.8b

Counts

127 → 32

Alt Table

Status	Error	Program
	48.1b	(fma.f64 2 (+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (sqrt.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (sqrt.f64 x))))) (*.f64 a (/.f64 -1/3 b)))
	24.5b	(fma.f64 2 (.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2))) (*.f64 a (/.f64 -1/3 b)))
	16.9b	(pow.f64 (cbrt.f64 (fma.f64 -1/3 (/.f64 a b) (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) 3)
	28.3b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 a (/.f64 -1/3 b)))
	29.1b	(/.f64 (-.f64 (.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))) (.f64 (pow.f64 (/.f64 a b) 2) 1/9)) (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 -1/3 (/.f64 a b))))
	53.5b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (exp.f64 (log.f64 (.f64 t -1/3))) y))) (*.f64 a (/.f64 -1/3 b)))
	28.4b	(fma.f64 2 (exp.f64 (log.f64 (.f64 (sqrt.f64 x) (cos.f64 y)))) (.f64 a (/.f64 -1/3 b)))
	23.8b	(fma.f64 2 (sqrt.f64 x) (*.f64 a (/.f64 -1/3 b)))
	53.3b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (pow.f64 (sqrt.f64 (.f64 t -1/3)) 2) y))) (*.f64 a (/.f64 -1/3 b)))
	20.9b	(fma.f64 2 (.f64 (sqrt.f64 x) (-.f64 (.f64 (cos.f64 (.f64 (.f64 z t) -1/3)) (cos.f64 y)) (.f64 (sin.f64 (.f64 (.f64 z t) -1/3)) (sin.f64 y)))) (.f64 a (/.f64 -1/3 b)))
▶	16.2b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (*.f64 (pow.f64 b -1) -1/3)))
	19.9b	(fma.f64 2 (sqrt.f64 (.f64 x (pow.f64 (cos.f64 y) 2))) (.f64 a (/.f64 -1/3 b)))
	20.7b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (pow.f64 (cbrt.f64 (.f64 t -1/3)) 3) y))) (*.f64 a (/.f64 -1/3 b)))
	27.5b	(fma.f64 2 (pow.f64 (sqrt.f64 (.f64 (sqrt.f64 x) (cos.f64 y))) 2) (.f64 a (/.f64 -1/3 b)))
	39.8b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (pow.f64 (pow.f64 (.f64 t -1/3) 3) 1/3) y))) (*.f64 a (/.f64 -1/3 b)))
	21.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))
	16.5b	(fma.f64 2 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (cos.f64 y))) 3) (.f64 a (/.f64 -1/3 b)))
	21.4b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (*.f64 a (pow.f64 (cbrt.f64 (/.f64 -1/3 b)) 3)))
	21.7b	(fma.f64 2 (.f64 (sqrt.f64 x) (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))) (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))))) (.f64 a (/.f64 -1/3 b)))
	32.0b	(fma.f64 2 (pow.f64 (pow.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) 3) 1/3) (.f64 a (/.f64 -1/3 b)))
	35.3b	(fma.f64 2 (exp.f64 (log.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (sqrt.f64 x)))) (*.f64 a (/.f64 -1/3 b)))
	37.9b	(fma.f64 2 (.f64 (sqrt.f64 x) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 z (.f64 t -1/3) y)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 z (.f64 t -1/3) y)))) (sin.f64 1)))) (.f64 a (/.f64 -1/3 b)))
	43.9b	(fma.f64 2 (+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (cos.f64 y))) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (cos.f64 y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (cos.f64 y))))) (.f64 a (/.f64 -1/3 b)))
	21.4b	(fma.f64 2 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (sqrt.f64 x))) 3) (*.f64 a (/.f64 -1/3 b)))
	21.1b	(fma.f64 2 (.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 3))) (*.f64 a (/.f64 -1/3 b)))
	26.6b	(fma.f64 2 (+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (.f64 (.f64 (sin.f64 y) (.f64 t z)) (sqrt.f64 x)))) (.f64 a (/.f64 -1/3 b)))
	35.5b	(fma.f64 (sqrt.f64 x) (-.f64 2 (*.f64 y y)) (/.f64 -1/3 (/.f64 b a)))
	38.3b	(fma.f64 2 (pow.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (sqrt.f64 x)) 3) 1/3) (*.f64 a (/.f64 -1/3 b)))
	34.9b	(*.f64 -1/3 (/.f64 a b))
	21.1b	(fma.f64 2 (.f64 (sqrt.f64 x) (log.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))) (*.f64 a (/.f64 -1/3 b)))
	39.1b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (/.f64 (.f64 a -1/3) (sqrt.f64 b)) (sqrt.f64 b)))
	36.7b	(exp.f64 (log.f64 (fma.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y) (/.f64 (.f64 a -1/3) b))))

Compiler

Compiled 3327 to 2048 computations (38.4% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (*.f64 (pow.f64 b -1) -1/3)))
	0.2b	(*.f64 (sqrt.f64 x) (cos.f64 y))
✓	0.2b	(.f64 a (.f64 (pow.f64 b -1) -1/3))
✓	0.4b	(*.f64 (pow.f64 b -1) -1/3)

series6.0ms (0.1%)

Counts

3 → 73

Calls

21 calls:

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

rewrite52.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

256×	`expm1-udef_binary64`
256×	`log1p-udef_binary64`
228×	`prod-diff_binary64`
221×	`log-pow_binary64`
147×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	38
1	301	29
2	3389	29

Stop Event

1×	node limit

Counts

3 → 55

Calls

Call 1

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

Outputs

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

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

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

simplify46.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	920
1	100	857
2	270	845
3	886	838
4	3905	838

Stop Event

1×	node limit

Counts

128 → 69

Calls

Call 1

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

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

prune133.0ms (1.5%)

Pruning

32 alts after pruning (31 fresh and 1 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	31	31
Picked	0	1	1
Done	0	0	0
Total	96	32	128

Error

13.8b

Counts

128 → 32

Alt Table

Status	Error	Program
	48.1b	(fma.f64 2 (+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (sqrt.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (sqrt.f64 x))))) (*.f64 a (/.f64 -1/3 b)))
	24.5b	(fma.f64 2 (.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2))) (*.f64 a (/.f64 -1/3 b)))
	16.9b	(pow.f64 (cbrt.f64 (fma.f64 -1/3 (/.f64 a b) (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) 3)
	28.3b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 a (/.f64 -1/3 b)))
	29.1b	(/.f64 (-.f64 (.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))) (.f64 (pow.f64 (/.f64 a b) 2) 1/9)) (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 -1/3 (/.f64 a b))))
	53.5b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (exp.f64 (log.f64 (.f64 t -1/3))) y))) (*.f64 a (/.f64 -1/3 b)))
	28.4b	(fma.f64 2 (exp.f64 (log.f64 (.f64 (sqrt.f64 x) (cos.f64 y)))) (.f64 a (/.f64 -1/3 b)))
	23.8b	(fma.f64 2 (sqrt.f64 x) (*.f64 a (/.f64 -1/3 b)))
	53.3b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (pow.f64 (sqrt.f64 (.f64 t -1/3)) 2) y))) (*.f64 a (/.f64 -1/3 b)))
	20.9b	(fma.f64 2 (.f64 (sqrt.f64 x) (-.f64 (.f64 (cos.f64 (.f64 (.f64 z t) -1/3)) (cos.f64 y)) (.f64 (sin.f64 (.f64 (.f64 z t) -1/3)) (sin.f64 y)))) (.f64 a (/.f64 -1/3 b)))
✓	16.2b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (*.f64 (pow.f64 b -1) -1/3)))
	19.9b	(fma.f64 2 (sqrt.f64 (.f64 x (pow.f64 (cos.f64 y) 2))) (.f64 a (/.f64 -1/3 b)))
	20.7b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (pow.f64 (cbrt.f64 (.f64 t -1/3)) 3) y))) (*.f64 a (/.f64 -1/3 b)))
	27.5b	(fma.f64 2 (pow.f64 (sqrt.f64 (.f64 (sqrt.f64 x) (cos.f64 y))) 2) (.f64 a (/.f64 -1/3 b)))
	39.8b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (pow.f64 (pow.f64 (.f64 t -1/3) 3) 1/3) y))) (*.f64 a (/.f64 -1/3 b)))
	21.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))
	16.5b	(fma.f64 2 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (cos.f64 y))) 3) (.f64 a (/.f64 -1/3 b)))
	21.4b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (*.f64 a (pow.f64 (cbrt.f64 (/.f64 -1/3 b)) 3)))
	21.7b	(fma.f64 2 (.f64 (sqrt.f64 x) (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))) (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))))) (.f64 a (/.f64 -1/3 b)))
	32.0b	(fma.f64 2 (pow.f64 (pow.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) 3) 1/3) (.f64 a (/.f64 -1/3 b)))
	35.3b	(fma.f64 2 (exp.f64 (log.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (sqrt.f64 x)))) (*.f64 a (/.f64 -1/3 b)))
	37.9b	(fma.f64 2 (.f64 (sqrt.f64 x) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 z (.f64 t -1/3) y)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 z (.f64 t -1/3) y)))) (sin.f64 1)))) (.f64 a (/.f64 -1/3 b)))
	43.9b	(fma.f64 2 (+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (cos.f64 y))) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (cos.f64 y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (cos.f64 y))))) (.f64 a (/.f64 -1/3 b)))
	21.4b	(fma.f64 2 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (sqrt.f64 x))) 3) (*.f64 a (/.f64 -1/3 b)))
	21.1b	(fma.f64 2 (.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 3))) (*.f64 a (/.f64 -1/3 b)))
	26.6b	(fma.f64 2 (+.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (.f64 1/3 (.f64 (.f64 (sin.f64 y) (.f64 t z)) (sqrt.f64 x)))) (.f64 a (/.f64 -1/3 b)))
	35.5b	(fma.f64 (sqrt.f64 x) (-.f64 2 (*.f64 y y)) (/.f64 -1/3 (/.f64 b a)))
	38.3b	(fma.f64 2 (pow.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (sqrt.f64 x)) 3) 1/3) (*.f64 a (/.f64 -1/3 b)))
	34.9b	(*.f64 -1/3 (/.f64 a b))
	21.1b	(fma.f64 2 (.f64 (sqrt.f64 x) (log.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))) (*.f64 a (/.f64 -1/3 b)))
	39.1b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (/.f64 (.f64 a -1/3) (sqrt.f64 b)) (sqrt.f64 b)))
	36.7b	(exp.f64 (log.f64 (fma.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y) (/.f64 (.f64 a -1/3) b))))

Compiler

Compiled 2513 to 1539 computations (38.8% saved)

regimes1.4s (15.4%)

Accuracy

Total 2.5b remaining (14.2%)

Threshold costs 0b (0%)

Counts

120 → 1

Compiler

Compiled 2428 to 1407 computations (42.1% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	18
1	15	18

Stop Event

1×

saturated

Calls

Call 1

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

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

end493.0ms (5.4%)

Stop Event

1×

fuel

Remove

(sort z t)

Compiler

Compiled 910 to 683 computations (24.9% saved)

Details

analyze1.7s (18.2%)

sample4.2s (46.6%)

preprocess49.0ms (0.5%)

simplify41.0ms (0.4%)

prune4.0ms (0%)

localize14.0ms (0.2%)

series16.0ms (0.2%)

rewrite61.0ms (0.7%)

simplify61.0ms (0.7%)

prune212.0ms (2.3%)

localize9.0ms (0.1%)

series17.0ms (0.2%)

rewrite52.0ms (0.6%)

simplify48.0ms (0.5%)

prune212.0ms (2.3%)

localize9.0ms (0.1%)

series6.0ms (0.1%)

rewrite50.0ms (0.6%)

simplify40.0ms (0.4%)

prune155.0ms (1.7%)

localize11.0ms (0.1%)

series6.0ms (0.1%)

rewrite52.0ms (0.6%)

simplify46.0ms (0.5%)

prune133.0ms (1.5%)

regimes1.4s (15.4%)

simplify2.0ms (0%)

end493.0ms (5.4%)

Profiling