Details

analyze1.7s (15.2%)

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)

sample3.9s (35.3%)

Results

1.1s	1674×	body	1024	valid
941.0ms	4718×	body	128	valid
659.0ms	3448×	body	128	invalid
658.0ms	743×	body	2048	valid
378.0ms	762×	body	512	valid
133.0ms	358×	body	256	valid
2.0ms	1×	body	4096	valid

Compiler

Compiled 52 to 40 computations (23.1% saved)

preprocess48.0ms (0.4%)

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)

simplify46.0ms (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

20.3b

Counts

3 → 2

Alt Table

Status	Error	Program
	20.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))
▶	20.5b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (*.f64 a (/.f64 -1/3 b)))

Compiler

Compiled 138 to 101 computations (26.8% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 a (/.f64 -1/3 b))
✓	0.3b	(*.f64 t -1/3)
✓	0.3b	(/.f64 -1/3 b)
✓	23.9b	(cos.f64 (fma.f64 z (*.f64 t -1/3) y))

series12.0ms (0.1%)

Counts

4 → 72

Calls

21 calls:

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

rewrite53.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

590×	`log-prod_binary64`
225×	`expm1-udef_binary64`
225×	`log1p-udef_binary64`
192×	`log-pow_binary64`
125×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	245	25
2	2956	25

Stop Event

1×	node limit

Counts

4 → 95

Calls

Call 1

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

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

simplify45.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

570×	`distribute-lft-out_binary64`
520×	`unswap-sqr_binary64`
316×	`cancel-sign-sub-inv_binary64`
296×	`associate-l_binary64`
278×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	62	811
1	167	782
2	470	774
3	1787	759
4	2743	757

Stop Event

1×	node limit

Counts

167 → 117

Calls

Call 1

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

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

prune236.0ms (2.1%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	93	24	117
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	94	25	119

Error

14.3b

Counts

119 → 25

Alt Table

Status	Error	Program
	20.2b	(fma.f64 2 (.f64 (sqrt.f64 x) (fma.f64 (cos.f64 (.f64 z (.f64 t -1/3))) (cos.f64 y) (neg.f64 (.f64 (sin.f64 (.f64 z (.f64 t -1/3))) (sin.f64 y))))) (*.f64 a (/.f64 -1/3 b)))
	20.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))
	20.5b	(fma.f64 2 (.f64 (sqrt.f64 x) (expm1.f64 (log1p.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))) (*.f64 a (/.f64 -1/3 b)))
	20.5b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (*.f64 -1/3 (/.f64 a b)))
	20.9b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (/.f64 (/.f64 (*.f64 -1/3 a) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b)))
	20.6b	(fma.f64 2 (.f64 (sqrt.f64 x) (log1p.f64 (expm1.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))) (*.f64 a (/.f64 -1/3 b)))
	25.3b	(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)))
	28.1b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (.f64 -1/3 (.f64 t z)))) (.f64 a (/.f64 -1/3 b)))
	29.1b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (cbrt.f64 (pow.f64 (.f64 t -1/3) 3)) y))) (*.f64 a (/.f64 -1/3 b)))
	20.5b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 t (.f64 z -1/3) y))) (*.f64 a (/.f64 -1/3 b)))
	20.9b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (pow.f64 (cbrt.f64 (.f64 t -1/3)) 3) y))) (*.f64 a (/.f64 -1/3 b)))
	20.7b	(fma.f64 2 (.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) 3)) (*.f64 a (/.f64 -1/3 b)))
	29.0b	(fma.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 (.f64 t z) (+.f64 (.f64 1/3 (sin.f64 y)) (.f64 (.f64 t z) (.f64 (cos.f64 y) -1/18)))))) (.f64 a (/.f64 -1/3 b)))
	36.0b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (-.f64 (exp.f64 (log1p.f64 (.f64 t -1/3))) 1) y))) (*.f64 a (/.f64 -1/3 b)))
	20.2b	(fma.f64 2 (.f64 (sqrt.f64 x) (-.f64 (.f64 (cos.f64 (.f64 z (.f64 t -1/3))) (cos.f64 y)) (.f64 (sin.f64 (.f64 z (.f64 t -1/3))) (sin.f64 y)))) (.f64 a (/.f64 -1/3 b)))
	20.6b	(fma.f64 2 (.f64 (sqrt.f64 x) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))) 1)) (*.f64 a (/.f64 -1/3 b)))
	25.0b	(fma.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))))) (*.f64 a (/.f64 -1/3 b)))
	20.8b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (*.f64 a (pow.f64 (cbrt.f64 (/.f64 -1/3 b)) 3)))
	21.3b	(fma.f64 2 (.f64 (sqrt.f64 x) (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))) (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))))) (.f64 a (/.f64 -1/3 b)))
	20.5b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (/.f64 (*.f64 -1/3 a) b))
	20.6b	(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)))
	36.0b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (expm1.f64 (log1p.f64 (.f64 t -1/3))) y))) (*.f64 a (/.f64 -1/3 b)))
	42.8b	(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)))
▶	17.1b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 -1/3 b)))
	35.6b	(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)))

Compiler

Compiled 4116 to 2775 computations (32.6% 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 -1/3 b)))
✓	0.1b	(*.f64 (sqrt.f64 x) (cos.f64 y))
	0.2b	(*.f64 a (/.f64 -1/3 b))
	0.3b	(/.f64 -1/3 b)

series14.0ms (0.1%)

Counts

2 → 49

Calls

18 calls:

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

rewrite50.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	26
1	267	26
2	3131	26

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

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

Outputs

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

simplify46.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

576×	`associate-l_binary64`
433×	`distribute-rgt-neg-in_binary64`
430×	`associate-r_binary64`
285×	`unswap-sqr_binary64`
259×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	801
1	117	792
2	335	762
3	1115	757
4	3571	757

Stop Event

1×	node limit

Counts

96 → 69

Calls

Call 1

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

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

prune224.0ms (2%)

Pruning

32 alts after pruning (32 fresh and 0 done)

	Pruned	Kept	Total
New	106	16	122
Fresh	8	16	24
Picked	1	0	1
Done	0	0	0
Total	115	32	147

Error

14.1b

Counts

147 → 32

Alt Table

Status	Error	Program
	40.5b	(-.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) 2 (.f64 a (/.f64 -1/3 b))))) 1)
	33.1b	(fma.f64 2 (pow.f64 (pow.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) 3) 1/3) (.f64 a (/.f64 -1/3 b)))
	20.2b	(fma.f64 2 (.f64 (sqrt.f64 x) (fma.f64 (cos.f64 (.f64 z (.f64 t -1/3))) (cos.f64 y) (neg.f64 (.f64 (sin.f64 (.f64 z (.f64 t -1/3))) (sin.f64 y))))) (*.f64 a (/.f64 -1/3 b)))
	20.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))
	28.8b	(fma.f64 2 (-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 x) (cos.f64 y)))) 1) (.f64 a (/.f64 -1/3 b)))
	20.5b	(fma.f64 2 (.f64 (sqrt.f64 x) (expm1.f64 (log1p.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))) (*.f64 a (/.f64 -1/3 b)))
	17.1b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (.f64 -1/3 a) b))
	36.0b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (expm1.f64 (log1p.f64 (.f64 t -1/3))) y))) (*.f64 a (/.f64 -1/3 b)))
	17.5b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (/.f64 (.f64 -1/3 a) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b)))
	25.3b	(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)))
	28.1b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (.f64 -1/3 (.f64 t z)))) (.f64 a (/.f64 -1/3 b)))
	29.1b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (cbrt.f64 (pow.f64 (.f64 t -1/3) 3)) y))) (*.f64 a (/.f64 -1/3 b)))
	20.5b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 t (.f64 z -1/3) y))) (*.f64 a (/.f64 -1/3 b)))
	20.9b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (pow.f64 (cbrt.f64 (.f64 t -1/3)) 3) y))) (*.f64 a (/.f64 -1/3 b)))
	20.7b	(fma.f64 2 (.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) 3)) (*.f64 a (/.f64 -1/3 b)))
	29.0b	(fma.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 (.f64 t z) (+.f64 (.f64 1/3 (sin.f64 y)) (.f64 (.f64 t z) (.f64 (cos.f64 y) -1/18)))))) (.f64 a (/.f64 -1/3 b)))
	25.7b	(fma.f64 2 (cbrt.f64 (.f64 (pow.f64 x 3/2) (pow.f64 (cos.f64 y) 3))) (.f64 a (/.f64 -1/3 b)))
	42.8b	(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)))
	36.7b	(*.f64 -1/3 (/.f64 a b))
	36.0b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (-.f64 (exp.f64 (log1p.f64 (.f64 t -1/3))) 1) y))) (*.f64 a (/.f64 -1/3 b)))
	20.2b	(fma.f64 2 (.f64 (sqrt.f64 x) (-.f64 (.f64 (cos.f64 (.f64 z (.f64 t -1/3))) (cos.f64 y)) (.f64 (sin.f64 (.f64 z (.f64 t -1/3))) (sin.f64 y)))) (.f64 a (/.f64 -1/3 b)))
	17.8b	(.f64 (cbrt.f64 (fma.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) 2 (.f64 a (/.f64 -1/3 b)))) (pow.f64 (cbrt.f64 (fma.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) 2 (*.f64 a (/.f64 -1/3 b)))) 2))
	21.4b	(fma.f64 2 (sqrt.f64 (.f64 x (pow.f64 (cos.f64 y) 2))) (.f64 a (/.f64 -1/3 b)))
	17.5b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (pow.f64 (cbrt.f64 (/.f64 -1/3 b)) 3)))
	28.3b	(fma.f64 2 (pow.f64 (sqrt.f64 (.f64 (sqrt.f64 x) (cos.f64 y))) 2) (.f64 a (/.f64 -1/3 b)))
	24.4b	(fma.f64 2 (sqrt.f64 x) (*.f64 a (/.f64 -1/3 b)))
	21.3b	(fma.f64 2 (.f64 (sqrt.f64 x) (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))) (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))))) (.f64 a (/.f64 -1/3 b)))
	17.4b	(fma.f64 2 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (cos.f64 y))) 3) (.f64 a (/.f64 -1/3 b)))
	35.6b	(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)))
	29.9b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (expm1.f64 (log1p.f64 (/.f64 -1/3 b)))))
▶	17.0b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (.f64 b -3)))
	36.4b	(fma.f64 2 (.f64 (sqrt.f64 x) (fma.f64 -1/2 (.f64 y y) 1)) (*.f64 a (/.f64 -1/3 b)))

Compiler

Compiled 3715 to 2364 computations (36.4% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series5.0ms (0%)

Counts

2 → 61

Calls

18 calls:

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

rewrite48.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

288×	`prod-diff_binary64`
236×	`expm1-udef_binary64`
236×	`log1p-udef_binary64`
201×	`log-pow_binary64`
133×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	25
1	266	25
2	3249	25

Stop Event

1×	node limit

Counts

2 → 66

Calls

Call 1

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

Outputs

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

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

simplify45.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

762×	`fma-def_binary64`
433×	`distribute-rgt-neg-in_binary64`
406×	`distribute-lft-neg-in_binary64`
367×	`associate-l_binary64`
285×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	34	821
1	86	814
2	235	796
3	769	790
4	3180	790

Stop Event

1×	node limit

Counts

127 → 79

Calls

Call 1

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

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

prune199.0ms (1.8%)

Pruning

31 alts after pruning (31 fresh and 0 done)

	Pruned	Kept	Total
New	101	5	106
Fresh	5	26	31
Picked	1	0	1
Done	0	0	0
Total	107	31	138

Error

14.1b

Counts

138 → 31

Alt Table

Status	Error	Program
	40.5b	(-.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) 2 (.f64 a (/.f64 -1/3 b))))) 1)
	33.1b	(fma.f64 2 (pow.f64 (pow.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) 3) 1/3) (.f64 a (/.f64 -1/3 b)))
	20.2b	(fma.f64 2 (.f64 (sqrt.f64 x) (fma.f64 (cos.f64 (.f64 z (.f64 t -1/3))) (cos.f64 y) (neg.f64 (.f64 (sin.f64 (.f64 z (.f64 t -1/3))) (sin.f64 y))))) (*.f64 a (/.f64 -1/3 b)))
	20.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))
	25.3b	(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)))
	28.1b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (.f64 -1/3 (.f64 t z)))) (.f64 a (/.f64 -1/3 b)))
	29.1b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (cbrt.f64 (pow.f64 (.f64 t -1/3) 3)) y))) (*.f64 a (/.f64 -1/3 b)))
	22.9b	(fma.f64 2 (expm1.f64 (log1p.f64 (.f64 (sqrt.f64 x) (cos.f64 y)))) (/.f64 a (.f64 b -3)))
	20.5b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 t (.f64 z -1/3) y))) (*.f64 a (/.f64 -1/3 b)))
	17.5b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) b) (/.f64 (cbrt.f64 a) -3)))
	29.0b	(fma.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 (.f64 t z) (+.f64 (.f64 1/3 (sin.f64 y)) (.f64 (.f64 t z) (.f64 (cos.f64 y) -1/18)))))) (.f64 a (/.f64 -1/3 b)))
	20.9b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (pow.f64 (cbrt.f64 (.f64 t -1/3)) 3) y))) (*.f64 a (/.f64 -1/3 b)))
	20.7b	(fma.f64 2 (.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) 3)) (*.f64 a (/.f64 -1/3 b)))
	25.7b	(fma.f64 2 (cbrt.f64 (.f64 (pow.f64 x 3/2) (pow.f64 (cos.f64 y) 3))) (.f64 a (/.f64 -1/3 b)))
	42.8b	(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)))
▶	17.3b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (/.f64 1 b) (/.f64 a -3)))
	36.7b	(*.f64 -1/3 (/.f64 a b))
	36.0b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (-.f64 (exp.f64 (log1p.f64 (.f64 t -1/3))) 1) y))) (*.f64 a (/.f64 -1/3 b)))
	20.2b	(fma.f64 2 (.f64 (sqrt.f64 x) (-.f64 (.f64 (cos.f64 (.f64 z (.f64 t -1/3))) (cos.f64 y)) (.f64 (sin.f64 (.f64 z (.f64 t -1/3))) (sin.f64 y)))) (.f64 a (/.f64 -1/3 b)))
	17.8b	(.f64 (cbrt.f64 (fma.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) 2 (.f64 a (/.f64 -1/3 b)))) (pow.f64 (cbrt.f64 (fma.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) 2 (*.f64 a (/.f64 -1/3 b)))) 2))
	21.4b	(fma.f64 2 (sqrt.f64 (.f64 x (pow.f64 (cos.f64 y) 2))) (.f64 a (/.f64 -1/3 b)))
	28.6b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (cbrt.f64 (.f64 a (/.f64 -1/3 b))) (cbrt.f64 (pow.f64 (.f64 a (/.f64 -1/3 b)) 2))))
	28.3b	(fma.f64 2 (pow.f64 (sqrt.f64 (.f64 (sqrt.f64 x) (cos.f64 y))) 2) (.f64 a (/.f64 -1/3 b)))
	21.3b	(fma.f64 2 (.f64 (sqrt.f64 x) (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))) (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))))) (.f64 a (/.f64 -1/3 b)))
	17.4b	(fma.f64 2 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (cos.f64 y))) 3) (.f64 a (/.f64 -1/3 b)))
	35.6b	(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)))
	20.5b	(fma.f64 2 (.f64 (sqrt.f64 x) (expm1.f64 (log1p.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))) (*.f64 a (/.f64 -1/3 b)))
	29.9b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (expm1.f64 (log1p.f64 (/.f64 -1/3 b)))))
	24.3b	(fma.f64 2 (sqrt.f64 x) (/.f64 a (*.f64 b -3)))
	36.0b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (expm1.f64 (log1p.f64 (.f64 t -1/3))) y))) (*.f64 a (/.f64 -1/3 b)))
	36.4b	(fma.f64 2 (.f64 (sqrt.f64 x) (fma.f64 -1/2 (.f64 y y) 1)) (*.f64 a (/.f64 -1/3 b)))

Compiler

Compiled 3432 to 2188 computations (36.2% saved)

localize11.0ms (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 (/.f64 1 b) (/.f64 a -3)))
	0.1b	(*.f64 (sqrt.f64 x) (cos.f64 y))
✓	0.5b	(*.f64 (/.f64 1 b) (/.f64 a -3))

series7.0ms (0.1%)

Counts

2 → 61

Calls

18 calls:

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

rewrite53.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

339×	`prod-diff_binary64`
260×	`expm1-udef_binary64`
260×	`log1p-udef_binary64`
151×	`add-sqr-sqrt_binary64`
142×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	25
1	310	25
2	3705	25

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

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

Outputs

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

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

simplify44.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

762×	`fma-def_binary64`
433×	`distribute-rgt-neg-in_binary64`
406×	`distribute-lft-neg-in_binary64`
367×	`associate-l_binary64`
285×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	34	821
1	86	814
2	235	796
3	769	790
4	3180	790

Stop Event

1×	node limit

Counts

132 → 84

Calls

Call 1

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

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

prune188.0ms (1.7%)

Pruning

31 alts after pruning (30 fresh and 1 done)

	Pruned	Kept	Total
New	110	1	111
Fresh	1	29	30
Picked	0	1	1
Done	0	0	0
Total	111	31	142

Error

14.1b

Counts

142 → 31

Alt Table

Status	Error	Program
	40.5b	(-.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) 2 (.f64 a (/.f64 -1/3 b))))) 1)
	33.1b	(fma.f64 2 (pow.f64 (pow.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) 3) 1/3) (.f64 a (/.f64 -1/3 b)))
	20.2b	(fma.f64 2 (.f64 (sqrt.f64 x) (fma.f64 (cos.f64 (.f64 z (.f64 t -1/3))) (cos.f64 y) (neg.f64 (.f64 (sin.f64 (.f64 z (.f64 t -1/3))) (sin.f64 y))))) (*.f64 a (/.f64 -1/3 b)))
	20.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))
	29.9b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (expm1.f64 (log1p.f64 (/.f64 -1/3 b)))))
	17.5b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (/.f64 (.f64 a -1/3) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b)))
	25.3b	(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)))
	28.1b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (.f64 -1/3 (.f64 t z)))) (.f64 a (/.f64 -1/3 b)))
	29.1b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (cbrt.f64 (pow.f64 (.f64 t -1/3) 3)) y))) (*.f64 a (/.f64 -1/3 b)))
	22.9b	(fma.f64 2 (expm1.f64 (log1p.f64 (.f64 (sqrt.f64 x) (cos.f64 y)))) (/.f64 a (.f64 b -3)))
	20.5b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 t (.f64 z -1/3) y))) (*.f64 a (/.f64 -1/3 b)))
	17.5b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) b) (/.f64 (cbrt.f64 a) -3)))
	29.0b	(fma.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 (.f64 t z) (+.f64 (.f64 1/3 (sin.f64 y)) (.f64 (.f64 t z) (.f64 (cos.f64 y) -1/18)))))) (.f64 a (/.f64 -1/3 b)))
	20.9b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (pow.f64 (cbrt.f64 (.f64 t -1/3)) 3) y))) (*.f64 a (/.f64 -1/3 b)))
	20.7b	(fma.f64 2 (.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) 3)) (*.f64 a (/.f64 -1/3 b)))
	25.7b	(fma.f64 2 (cbrt.f64 (.f64 (pow.f64 x 3/2) (pow.f64 (cos.f64 y) 3))) (.f64 a (/.f64 -1/3 b)))
	42.8b	(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)))
✓	17.3b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (/.f64 1 b) (/.f64 a -3)))
	36.7b	(*.f64 -1/3 (/.f64 a b))
	36.0b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (-.f64 (exp.f64 (log1p.f64 (.f64 t -1/3))) 1) y))) (*.f64 a (/.f64 -1/3 b)))
	20.2b	(fma.f64 2 (.f64 (sqrt.f64 x) (-.f64 (.f64 (cos.f64 (.f64 z (.f64 t -1/3))) (cos.f64 y)) (.f64 (sin.f64 (.f64 z (.f64 t -1/3))) (sin.f64 y)))) (.f64 a (/.f64 -1/3 b)))
	17.8b	(.f64 (cbrt.f64 (fma.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) 2 (.f64 a (/.f64 -1/3 b)))) (pow.f64 (cbrt.f64 (fma.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) 2 (*.f64 a (/.f64 -1/3 b)))) 2))
	21.4b	(fma.f64 2 (sqrt.f64 (.f64 x (pow.f64 (cos.f64 y) 2))) (.f64 a (/.f64 -1/3 b)))
	28.3b	(fma.f64 2 (pow.f64 (sqrt.f64 (.f64 (sqrt.f64 x) (cos.f64 y))) 2) (.f64 a (/.f64 -1/3 b)))
	21.3b	(fma.f64 2 (.f64 (sqrt.f64 x) (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))) (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))))) (.f64 a (/.f64 -1/3 b)))
	17.4b	(fma.f64 2 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (cos.f64 y))) 3) (.f64 a (/.f64 -1/3 b)))
	35.6b	(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)))
	20.5b	(fma.f64 2 (.f64 (sqrt.f64 x) (expm1.f64 (log1p.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))) (*.f64 a (/.f64 -1/3 b)))
	24.3b	(fma.f64 2 (sqrt.f64 x) (/.f64 a (*.f64 b -3)))
	36.0b	(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (expm1.f64 (log1p.f64 (.f64 t -1/3))) y))) (*.f64 a (/.f64 -1/3 b)))
	36.4b	(fma.f64 2 (.f64 (sqrt.f64 x) (fma.f64 -1/2 (.f64 y y) 1)) (*.f64 a (/.f64 -1/3 b)))

Compiler

Compiled 2695 to 1586 computations (41.2% saved)

regimes3.5s (31.3%)

Accuracy

Total 1.7b remaining (10.5%)

Threshold costs 0b (0%)

Counts

153 → 3

Compiler

Compiled 2955 to 1701 computations (42.4% saved)

bsearch2.0ms (0%)

Algorithm

2×	left-value

Calls

2 calls:

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

Steps

Iters	Point		Range
2e+278	∈ [	1.3689170926515204e+278	,	#hash((type . real) (value . +inf))	]
-5e+44	∈ [	-8.940742501859867e+44	,	-1.7129491778668368e+39	]

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64`
4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	89
1	52	89
2	64	89
3	70	89
4	74	89
5	75	89

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 (*.f64 z t) -499999999999999964878644512267775609965379584) (fma.f64 2 (sqrt.f64 x) (/.f64 a (*.f64 b -3))) (if (<=.f64 (*.f64 z t) 199999999999999992701373735918357116631804549565985153064628970972443492602480411625348685741640985599675569876002408075550379507087920437583886295587576290642133049161236473317937266725516180055400670622987509956668735259751478274996752027315378862823736417652149903488970653696) (fma.f64 2 (*.f64 (sqrt.f64 x) (-.f64 (*.f64 (cos.f64 (*.f64 z (*.f64 t -1/3))) (cos.f64 y)) (*.f64 (sin.f64 (*.f64 z (*.f64 t -1/3))) (sin.f64 y)))) (*.f64 a (/.f64 -1/3 b))) (fma.f64 (sqrt.f64 x) 2 (*.f64 -1/3 (/.f64 a b)))))

Outputs

(if (<=.f64 (*.f64 z t) -499999999999999964878644512267775609965379584) (fma.f64 2 (sqrt.f64 x) (/.f64 a (*.f64 b -3))) (if (<=.f64 (*.f64 z t) 199999999999999992701373735918357116631804549565985153064628970972443492602480411625348685741640985599675569876002408075550379507087920437583886295587576290642133049161236473317937266725516180055400670622987509956668735259751478274996752027315378862823736417652149903488970653696) (fma.f64 2 (*.f64 (sqrt.f64 x) (-.f64 (*.f64 (cos.f64 (*.f64 z (*.f64 t -1/3))) (cos.f64 y)) (*.f64 (sin.f64 (*.f64 z (*.f64 t -1/3))) (sin.f64 y)))) (*.f64 a (/.f64 -1/3 b))) (fma.f64 (sqrt.f64 x) 2 (*.f64 -1/3 (/.f64 a b)))))

end597.0ms (5.4%)

Stop Event

1×

fuel

Compiler

Compiled 1051 to 778 computations (26% saved)

Details

analyze1.7s (15.2%)

sample3.9s (35.3%)

preprocess48.0ms (0.4%)

simplify46.0ms (0.4%)

prune4.0ms (0%)

localize15.0ms (0.1%)

series12.0ms (0.1%)

rewrite53.0ms (0.5%)

simplify45.0ms (0.4%)

prune236.0ms (2.1%)

localize11.0ms (0.1%)

series14.0ms (0.1%)

rewrite50.0ms (0.5%)

simplify46.0ms (0.4%)

prune224.0ms (2%)

localize10.0ms (0.1%)

series5.0ms (0%)

rewrite48.0ms (0.4%)

simplify45.0ms (0.4%)

prune199.0ms (1.8%)

localize11.0ms (0.1%)

series7.0ms (0.1%)

rewrite53.0ms (0.5%)

simplify44.0ms (0.4%)

prune188.0ms (1.7%)

regimes3.5s (31.3%)

bsearch2.0ms (0%)

simplify5.0ms (0%)

end597.0ms (5.4%)

Profiling