Details

analyze479.0ms (2.4%)

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

Compiler

Compiled 26 to 20 computations (23.1% saved)

sample4.6s (23.2%)

Results

1.2s	5701×	body	256	invalid
1.2s	5072×	body	256	valid
1.1s	1674×	body	1024	valid
690.0ms	729×	body	2048	valid
347.0ms	779×	body	512	valid
4.0ms	2×	body	4096	valid

preprocess96.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

768×	`times-frac_binary64`
445×	`sub-neg_binary64`
424×	`fma-neg_binary64`
394×	`fma-def_binary64`
378×	`cancel-sign-sub-inv_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
6	6195	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)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 t 3) z)))) (/.f64 a (.f64 3 b)))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (-.f64 y (.f64 z (/.f64 t 3)))))) (/.f64 a (.f64 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 z (.f64 -1/3 t) y))) (*.f64 (/.f64 a b) -1/3))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) 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 (/.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)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 y)) (cos.f64 (-.f64 x (.f64 (/.f64 t 3) z)))) (/.f64 a (.f64 3 b)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 y)) (cos.f64 (-.f64 x (.f64 z (/.f64 t 3))))) (/.f64 a (.f64 3 b)))
(fma.f64 (.f64 2 (sqrt.f64 y)) (cos.f64 (-.f64 x (.f64 z (/.f64 t 3)))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 (.f64 2 (sqrt.f64 y)) (cos.f64 (fma.f64 z (.f64 -1/3 t) x)) (*.f64 (/.f64 a b) -1/3))
(fma.f64 (.f64 2 (sqrt.f64 y)) (cos.f64 (fma.f64 z (.f64 t -1/3) x)) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 (.f64 2 (sqrt.f64 y)) (cos.f64 (fma.f64 z (.f64 t -1/3) 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)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 z) (cos.f64 (-.f64 y (.f64 (/.f64 t 3) x))))) (/.f64 a (.f64 3 b)))
(fma.f64 2 (.f64 (sqrt.f64 z) (cos.f64 (-.f64 y (.f64 x (/.f64 t 3))))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 z) (cos.f64 (fma.f64 t (.f64 -1/3 x) y))) (*.f64 (/.f64 a b) -1/3))
(fma.f64 2 (.f64 (sqrt.f64 z) (cos.f64 (fma.f64 x (.f64 t -1/3) y))) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 2 (.f64 (sqrt.f64 z) (cos.f64 (fma.f64 x (.f64 t -1/3) 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 (sqrt.f64 t) (.f64 2 (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 (.f64 2 (sqrt.f64 t)) (cos.f64 (fma.f64 (/.f64 z 3) (neg.f64 x) y)) (.f64 -1/3 (/.f64 a b)))
(fma.f64 (.f64 2 (sqrt.f64 t)) (cos.f64 (fma.f64 x (.f64 -1/3 z) y)) (*.f64 (/.f64 a b) -1/3))
(fma.f64 (.f64 2 (sqrt.f64 t)) (cos.f64 (fma.f64 x (.f64 z -1/3) y)) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 (.f64 2 (sqrt.f64 t)) (cos.f64 (fma.f64 x (.f64 z -1/3) 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)))
(-.f64 (.f64 (cos.f64 (-.f64 y (.f64 (/.f64 t 3) z))) (.f64 2 (sqrt.f64 a))) (/.f64 x (.f64 3 b)))
(-.f64 (.f64 (cos.f64 (-.f64 y (.f64 z (/.f64 t 3)))) (.f64 2 (sqrt.f64 a))) (/.f64 x (.f64 3 b)))
(fma.f64 2 (.f64 (cos.f64 (-.f64 y (.f64 z (/.f64 t 3)))) (sqrt.f64 a)) (*.f64 -1/3 (/.f64 x b)))
(fma.f64 2 (.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) (sqrt.f64 a)) (*.f64 (/.f64 x b) -1/3))
(fma.f64 2 (.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (sqrt.f64 a)) (/.f64 -1/3 (/.f64 b x)))
(fma.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 a)) (/.f64 -1/3 (/.f64 b x)))
(-.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 (/.f64 t 3) z))) (.f64 2 (sqrt.f64 b))) (/.f64 a (.f64 x 3)))
(-.f64 (.f64 (cos.f64 (-.f64 y (.f64 z (/.f64 t 3)))) (.f64 2 (sqrt.f64 b))) (/.f64 a (.f64 x 3)))
(fma.f64 (cos.f64 (-.f64 y (.f64 z (/.f64 t 3)))) (.f64 2 (sqrt.f64 b)) (*.f64 -1/3 (/.f64 a x)))
(fma.f64 (cos.f64 (fma.f64 z (.f64 -1/3 t) y)) (.f64 2 (sqrt.f64 b)) (*.f64 (/.f64 a x) -1/3))
(fma.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) (.f64 2 (sqrt.f64 b)) (*.f64 a (/.f64 -1/3 x)))
(fma.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) 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 y (/.f64 3 t)))))) (/.f64 a (*.f64 3 b)))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (-.f64 z (.f64 (/.f64 t 3) y))))) (/.f64 a (.f64 3 b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 z (.f64 y (/.f64 t 3))))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 t (.f64 -1/3 y) z))) (*.f64 (/.f64 a b) -1/3))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 y (.f64 t -1/3) z))) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 y (.f64 t -1/3) 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)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 t (/.f64 z (/.f64 3 y))))) (/.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 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 (.f64 -1/3 y) z t))) (*.f64 (/.f64 a b) -1/3))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 y -1/3) t))) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (fma.f64 z (.f64 y -1/3) 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 (/.f64 t 3) z)))) (/.f64 y (.f64 3 b)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 a (.f64 z (/.f64 t 3))))) (/.f64 y (.f64 3 b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 a (.f64 z (/.f64 t 3))))) (*.f64 -1/3 (/.f64 y b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 -1/3 t) a))) (*.f64 (/.f64 y b) -1/3))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) a))) (*.f64 y (/.f64 -1/3 b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) a))) (/.f64 y (/.f64 b -1/3)))
(-.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)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 b (.f64 (/.f64 t 3) z))))) (/.f64 a (.f64 y 3)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 b (.f64 z (/.f64 t 3)))))) (/.f64 a (.f64 y 3)))
(fma.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 b (.f64 z (/.f64 t 3)))) (*.f64 -1/3 (/.f64 a y)))
(fma.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (fma.f64 z (.f64 -1/3 t) b)) (*.f64 (/.f64 a y) -1/3))
(fma.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (fma.f64 z (.f64 t -1/3) b)) (*.f64 (/.f64 a y) -1/3))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) 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)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 t 3) z)))) (/.f64 a (.f64 3 b)))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (-.f64 y (.f64 z (/.f64 t 3)))))) (/.f64 a (.f64 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 z (.f64 -1/3 t) y))) (*.f64 (/.f64 a b) -1/3))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) 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 (/.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)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (/.f64 a (/.f64 3 t)))))) (/.f64 (/.f64 z b) 3))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 a 3) t)))) (/.f64 z (.f64 3 b)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 t (/.f64 a 3))))) (/.f64 z (.f64 3 b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (.f64 a (/.f64 t 3))))) (*.f64 -1/3 (/.f64 z b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 t (.f64 -1/3 a) y))) (*.f64 (/.f64 z b) -1/3))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 t (.f64 a -1/3) y))) (*.f64 z (/.f64 -1/3 b)))
(fma.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (fma.f64 t (.f64 a -1/3) y)) (*.f64 z (/.f64 -1/3 b)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 b t) 3)))) (/.f64 a (.f64 z 3)))
(fma.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 b (/.f64 3 t)))) (neg.f64 (/.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 (sqrt.f64 x) (.f64 2 (cos.f64 (-.f64 y (.f64 t (/.f64 b 3))))) (*.f64 -1/3 (/.f64 a z)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 t (.f64 -1/3 b) y))) (*.f64 (/.f64 a z) -1/3))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 -1/3 (.f64 t b) y))) (*.f64 (/.f64 a z) -1/3))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 t (.f64 b -1/3) y))) (*.f64 a (/.f64 -1/3 z)))
(-.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)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 a (/.f64 3 z))))) (/.f64 t (*.f64 3 b)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 a 3) z)))) (/.f64 t (.f64 3 b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (.f64 z (/.f64 a 3))))) (*.f64 -1/3 (/.f64 t b)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 (.f64 -1/3 a) z y))) (*.f64 (/.f64 t b) -1/3))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 a -1/3) y))) (*.f64 t (/.f64 -1/3 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)))
(fma.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 z (/.f64 3 b)))) (/.f64 (neg.f64 (/.f64 a t)) 3))
(fma.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 b 3) z))) (/.f64 (neg.f64 (/.f64 a t)) 3))
(fma.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 z (/.f64 b 3)))) (*.f64 -1/3 (/.f64 a t)))
(fma.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (fma.f64 (.f64 -1/3 b) z y)) (/.f64 (*.f64 -1/3 a) t))
(fma.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (fma.f64 z (.f64 b -1/3) y)) (*.f64 a (/.f64 -1/3 t)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 b -1/3) y))) (*.f64 a (/.f64 -1/3 t)))
(-.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)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 t 3) z)))) (/.f64 b (.f64 3 a)))
(-.f64 (.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (-.f64 y (.f64 z (/.f64 t 3)))))) (/.f64 b (.f64 3 a)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (.f64 z (/.f64 t 3))))) (*.f64 -1/3 (/.f64 b a)))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 -1/3 t) y))) (*.f64 (/.f64 b a) -1/3))
(fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (*.f64 b (/.f64 -1/3 a)))

Symmetry

(sort z t)

Compiler

Compiled 31 to 25 computations (19.4% saved)

simplify80.0ms (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`
109×	`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	921	25
8	1220	25
9	1755	25
10	2422	25
11	2784	25
12	2876	25
13	2892	25
14	2892	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 (/.f64 z 3) t))))) (/.f64 a (.f64 3 b)))
(-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (.f64 t (/.f64 z 3)))))) (/.f64 a (.f64 3 b)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (-.f64 y (.f64 z (/.f64 t 3))))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 t (.f64 -1/3 z) y))) (/.f64 (*.f64 -1/3 a) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 -1/3 t) y))) (/.f64 a (/.f64 b -1/3)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (/.f64 (*.f64 a -1/3) b))

eval1.0ms (0%)

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

prune2.0ms (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

19.5b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	19.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))
▶	19.8b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (/.f64 (*.f64 a -1/3) b))

Compiler

Compiled 48 to 36 computations (25% saved)

localize91.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
✓	0.3b	(/.f64 a (*.f64 b 3))
✓	0.4b	(/.f64 (*.f64 z t) 3)
✓	22.9b	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))

Compiler

Compiled 83 to 44 computations (47% saved)

series28.0ms (0.1%)

Counts

4 → 120

Calls

33 calls:

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

rewrite104.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

627×	`prod-diff_binary64`
358×	`expm1-udef_binary64`
358×	`log1p-udef_binary64`
287×	`fma-def_binary64`
203×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	46
1	393	46
2	5250	42

Stop Event

1×	node limit

Counts

4 → 125

Calls

Call 1

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

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

simplify83.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

716×	`associate-r_binary64`
688×	`associate-l_binary64`
645×	`fma-def_binary64`
395×	`distribute-rgt-neg-out_binary64`
351×	`distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	100	1982
1	305	1827
2	970	1713
3	4592	1707

Stop Event

1×	node limit

Counts

245 → 165

Calls

Call 1

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

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

localize55.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (*.f64 a -1/3) b)
✓	0.3b	(*.f64 t -1/3)
✓	0.3b	(*.f64 a -1/3)
✓	22.9b	(cos.f64 (fma.f64 z (*.f64 t -1/3) y))

Compiler

Compiled 66 to 39 computations (40.9% saved)

series11.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	a	@	-inf	(*.f64 a -1/3)
1.0ms	z	@	0	(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
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))
0.0ms	a	@	inf	(*.f64 a -1/3)

rewrite112.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

623×	`log-prod_binary64`
347×	`pow-prod-down_binary64`
326×	`pow2_binary64`
227×	`pow1/3_binary64`
226×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	244	25
2	3055	25

Stop Event

1×	node limit

Counts

4 → 124

Calls

Call 1

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

simplify82.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

977×	`fma-neg_binary64`
570×	`distribute-lft-out_binary64`
520×	`unswap-sqr_binary64`
395×	`distribute-rgt-neg-in_binary64`
316×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	63	859
1	170	830
2	473	822
3	1788	807
4	2744	805
5	6299	805

Stop Event

1×	node limit

Counts

208 → 147

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

eval139.0ms (0.7%)

Compiler: Compiled 7833 to 4807 computations (38.6% saved)

prune203.0ms (1%)

Pruning

50 alts after pruning (50 fresh and 0 done)

	Pruned	Kept	Total
New	262	50	312
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	264	50	314

Error

14.4b

Counts

314 → 50

Alt Table

Click to see full alt table

Status	Error	Program
	19.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3))))) (cbrt.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))))) (cbrt.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3))))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))))) (/.f64 a (.f64 b 3)))
	23.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) 2))) (/.f64 a (.f64 b 3)))
▶	16.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
	26.7b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (sqrt.f64 (.f64 (.f64 t t) 1/9)) y))) (/.f64 (.f64 a -1/3) b))
	26.9b	(fma.f64 (sqrt.f64 x) (.f64 2 (+.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 a -1/3) b))
	23.5b	(-.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) 2) (.f64 x 4))) (/.f64 a (.f64 b 3)))
	41.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (sqrt.f64 (.f64 z t)) (.f64 (sqrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
	19.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))) 3)) (/.f64 a (.f64 b 3)))
	19.5b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (pow.f64 (cbrt.f64 (.f64 t -1/3)) 3) y))) (/.f64 (*.f64 a -1/3) b))
	27.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (expm1.f64 (log1p.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
	42.2b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (pow.f64 (pow.f64 (.f64 t -1/3) 3) 1/3) y))) (/.f64 (*.f64 a -1/3) b))
	20.1b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x)))) 3) (/.f64 a (.f64 b 3)))
	19.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (pow.f64 (.f64 3 (/.f64 b a)) -1))
	27.5b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 t (sin.f64 y)) (.f64 z 2/3)) (.f64 (cos.f64 y) (+.f64 (.f64 -1/9 (.f64 t (.f64 z (.f64 t z)))) 2)))) (/.f64 a (.f64 b 3)))
	37.3b	(-.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))) 3) 1/3) (/.f64 a (.f64 b 3)))
	19.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 a b) 1/3))
	19.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (cbrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
	19.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3)) (neg.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3)))))) (/.f64 a (.f64 b 3)))
	16.2b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)) (/.f64 (.f64 a -1/3) b))
	20.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (pow.f64 (cbrt.f64 (.f64 a (/.f64 1/3 b))) 3))
	19.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 1/3 b) a))
	33.7b	(-.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))))) 1) (/.f64 a (.f64 b 3)))
	19.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (neg.f64 a) (/.f64 1 (*.f64 b -3))))
	19.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3))))) (/.f64 a (*.f64 b 3)))
	19.8b	(fma.f64 (sqrt.f64 x) (.f64 2 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))))) (/.f64 (.f64 a -1/3) b))
	27.4b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (.f64 t (.f64 z -1/3)))) (/.f64 (.f64 a -1/3) b))
	33.4b	(-.f64 (exp.f64 (log.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))))) (/.f64 a (.f64 b 3)))
	34.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (.f64 (pow.f64 (.f64 z t) 3) 1/27) 1/3)))) (/.f64 a (*.f64 b 3)))
	23.4b	(fma.f64 (sqrt.f64 x) (.f64 2 (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2))) (/.f64 (*.f64 a -1/3) b))
	20.4b	(fma.f64 (sqrt.f64 x) (.f64 2 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))))) (/.f64 (.f64 a -1/3) b))
	19.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 z (/.f64 1 (/.f64 3 t)))))) (/.f64 a (.f64 b 3)))
	35.1b	(fma.f64 (sqrt.f64 x) (.f64 2 (+.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 (.f64 a -1/3) b))
	19.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 3)))) (/.f64 a (*.f64 b 3)))
	19.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (expm1.f64 (log1p.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))))) (/.f64 a (.f64 b 3)))
	19.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
▶	35.4b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (expm1.f64 (log1p.f64 (.f64 t -1/3))) y))) (/.f64 (*.f64 a -1/3) b))
	28.1b	(-.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 2 (sqrt.f64 x)) 3) (pow.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) 3))) (/.f64 a (.f64 b 3)))
	31.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (expm1.f64 (log1p.f64 (.f64 a (/.f64 1/3 b)))))
	19.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) 3))) (/.f64 a (.f64 b 3)))
	45.9b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (log.f64 (exp.f64 (*.f64 -1/3 (/.f64 a b)))))
▶	27.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 1/3 t)))) (/.f64 a (*.f64 b 3)))
	19.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 z 3) t)))) (/.f64 a (.f64 b 3)))
	37.8b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 y (.f64 2 (sin.f64 (.f64 z (.f64 1/3 t))))) (.f64 (cos.f64 (.f64 z (.f64 1/3 t))) (-.f64 2 (.f64 y y))))) (/.f64 a (.f64 b 3)))
	27.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z))))) (/.f64 a (*.f64 b 3)))
	28.1b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))) 3)) (/.f64 a (.f64 b 3)))
	19.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 1 b) (/.f64 a 3)))
▶	19.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))))) (/.f64 a (.f64 b 3)))
▶	22.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))))) (/.f64 a (.f64 b 3)))
	40.6b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (/.f64 (exp.f64 (log.f64 (*.f64 -1/3 a))) b))
	35.3b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) t))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) t)))) y))) (/.f64 (.f64 a -1/3) b))

Compiler

Compiled 2884 to 2190 computations (24.1% saved)

localize76.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
✓	0.1b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
	0.3b	(/.f64 a (*.f64 b 3))

Compiler

Compiled 48 to 27 computations (43.8% saved)

series11.0ms (0.1%)

Counts

2 → 49

Calls

18 calls:

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

rewrite130.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

766×	`log-prod_binary64`
386×	`pow2_binary64`
344×	`fma-def_binary64`
267×	`pow1/3_binary64`
266×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	31
1	299	31
2	3957	31

Stop Event

1×	node limit

Counts

2 → 146

Calls

Call 1

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

Outputs

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

simplify61.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

917×	`fma-def_binary64`
490×	`distribute-rgt-neg-in_binary64`
448×	`distribute-lft-neg-in_binary64`
372×	`associate-l_binary64`
321×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	845
1	106	817
2	285	775
3	950	771
4	4128	771

Stop Event

1×	node limit

Counts

195 → 167

Calls

Call 1

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

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

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 z (.f64 1/3 t))
	0.3b	(/.f64 a (*.f64 b 3))
✓	0.3b	(*.f64 1/3 t)
✓	26.9b	(cos.f64 (.f64 z (.f64 1/3 t)))

Compiler

Compiled 70 to 44 computations (37.1% saved)

series5.0ms (0%)

Counts

3 → 48

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(cos.f64 (.f64 z (.f64 1/3 t)))
0.0ms	t	@	0	(cos.f64 (.f64 z (.f64 1/3 t)))
0.0ms	t	@	0	(*.f64 1/3 t)
0.0ms	t	@	inf	(cos.f64 (.f64 z (.f64 1/3 t)))
0.0ms	z	@	-inf	(cos.f64 (.f64 z (.f64 1/3 t)))

rewrite80.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

650×	`pow1_binary64`
597×	`add-log-exp_binary64`
597×	`log1p-expm1-u_binary64`
597×	`expm1-log1p-u_binary64`
585×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	140	20
2	1617	20

Stop Event

1×	node limit

Counts

3 → 38

Calls

Call 1

Inputs
(cos.f64 (.f64 z (.f64 1/3 t)))
(*.f64 1/3 t)
(.f64 z (.f64 1/3 t))

Outputs

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

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

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

simplify231.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1130×	`sqr-pow_binary64`
989×	`fma-def_binary64`
598×	`pow-sqr_binary64`
481×	`cube-prod_binary64`
429×	`fabs-mul_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	32	488
1	79	484
2	209	480
3	874	476
4	2172	464
5	2681	458
6	2992	440
7	3217	440
8	3461	440
9	3781	440
10	4209	440
11	4733	440
12	5366	440
13	5628	440
14	5846	440
15	6014	440
16	6156	440
17	6270	440
18	7055	440
19	7923	440

Stop Event

1×	node limit

Counts

86 → 49

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2)))))
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 1/3 (.f64 t z)))
1
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2)))))
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))

Outputs
1
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 1 (.f64 -1/18 (.f64 (.f64 t t) (.f64 z z))))
(fma.f64 -1/18 (.f64 (.f64 t t) (*.f64 z z)) 1)
(fma.f64 -1/18 (.f64 t (.f64 t (*.f64 z z))) 1)
(fma.f64 (.f64 (.f64 t t) z) (*.f64 -1/18 z) 1)
(fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1)
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2)))))
(+.f64 1 (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (.f64 -1/18 (.f64 (.f64 t t) (*.f64 z z)))))
(+.f64 1 (fma.f64 -1/18 (.f64 (.f64 t t) (.f64 z z)) (.f64 1/1944 (*.f64 (pow.f64 t 4) (pow.f64 z 4)))))
(fma.f64 (pow.f64 t 4) (.f64 1/1944 (pow.f64 z 4)) (fma.f64 -1/18 (.f64 t (.f64 t (.f64 z z))) 1))
(fma.f64 (pow.f64 t 4) (.f64 1/1944 (pow.f64 z 4)) (fma.f64 (.f64 (.f64 t t) z) (.f64 -1/18 z) 1))
(fma.f64 -1/18 (.f64 t (.f64 t (.f64 z z))) (fma.f64 1/1944 (pow.f64 (.f64 t z) 4) 1))
(fma.f64 -1/18 (pow.f64 (.f64 t z) 2) (fma.f64 1/1944 (pow.f64 (.f64 t z) 4) 1))
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(+.f64 1 (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (fma.f64 -1/18 (.f64 (.f64 t t) (.f64 z z)) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(+.f64 1 (fma.f64 -1/18 (.f64 t (.f64 t (.f64 z z))) (fma.f64 (pow.f64 t 4) (.f64 1/1944 (pow.f64 z 4)) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(fma.f64 (.f64 z z) (fma.f64 (.f64 z z) (.f64 1/1944 (pow.f64 t 4)) (.f64 -1/18 (.f64 t t))) (fma.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6)) 1))
(fma.f64 1/1944 (pow.f64 (.f64 t z) 4) (fma.f64 t (.f64 (.f64 z z) (.f64 -1/18 t)) (fma.f64 -1/524880 (*.f64 (pow.f64 t 6) (pow.f64 z 6)) 1)))
(fma.f64 1/1944 (pow.f64 (.f64 t z) 4) (fma.f64 t (.f64 (.f64 z z) (.f64 -1/18 t)) (fma.f64 -1/524880 (pow.f64 (*.f64 t z) 6) 1)))
(fma.f64 (pow.f64 (.f64 t z) 2) (fma.f64 (pow.f64 (.f64 t z) 2) 1/1944 -1/18) (fma.f64 -1/524880 (pow.f64 (*.f64 t z) 6) 1))
(fma.f64 -1/18 (pow.f64 (.f64 t z) 2) (fma.f64 1/1944 (pow.f64 (.f64 t z) 4) (fma.f64 -1/524880 (pow.f64 (*.f64 t z) 6) 1)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z 1/3)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z 1/3)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z 1/3)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z 1/3)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z 1/3)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z 1/3)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z 1/3)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z 1/3)))
1
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 1 (.f64 -1/18 (.f64 (.f64 t t) (.f64 z z))))
(fma.f64 -1/18 (.f64 (.f64 t t) (*.f64 z z)) 1)
(fma.f64 -1/18 (.f64 t (.f64 t (*.f64 z z))) 1)
(fma.f64 (.f64 (.f64 t t) z) (*.f64 -1/18 z) 1)
(fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1)
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2)))))
(+.f64 1 (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (.f64 -1/18 (.f64 (.f64 t t) (*.f64 z z)))))
(+.f64 1 (fma.f64 -1/18 (.f64 (.f64 t t) (.f64 z z)) (.f64 1/1944 (*.f64 (pow.f64 t 4) (pow.f64 z 4)))))
(fma.f64 (pow.f64 t 4) (.f64 1/1944 (pow.f64 z 4)) (fma.f64 -1/18 (.f64 t (.f64 t (.f64 z z))) 1))
(fma.f64 (pow.f64 t 4) (.f64 1/1944 (pow.f64 z 4)) (fma.f64 (.f64 (.f64 t t) z) (.f64 -1/18 z) 1))
(fma.f64 -1/18 (.f64 t (.f64 t (.f64 z z))) (fma.f64 1/1944 (pow.f64 (.f64 t z) 4) 1))
(fma.f64 -1/18 (pow.f64 (.f64 t z) 2) (fma.f64 1/1944 (pow.f64 (.f64 t z) 4) 1))
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(+.f64 1 (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (fma.f64 -1/18 (.f64 (.f64 t t) (.f64 z z)) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(+.f64 1 (fma.f64 -1/18 (.f64 t (.f64 t (.f64 z z))) (fma.f64 (pow.f64 t 4) (.f64 1/1944 (pow.f64 z 4)) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(fma.f64 (.f64 z z) (fma.f64 (.f64 z z) (.f64 1/1944 (pow.f64 t 4)) (.f64 -1/18 (.f64 t t))) (fma.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6)) 1))
(fma.f64 1/1944 (pow.f64 (.f64 t z) 4) (fma.f64 t (.f64 (.f64 z z) (.f64 -1/18 t)) (fma.f64 -1/524880 (*.f64 (pow.f64 t 6) (pow.f64 z 6)) 1)))
(fma.f64 1/1944 (pow.f64 (.f64 t z) 4) (fma.f64 t (.f64 (.f64 z z) (.f64 -1/18 t)) (fma.f64 -1/524880 (pow.f64 (*.f64 t z) 6) 1)))
(fma.f64 (pow.f64 (.f64 t z) 2) (fma.f64 (pow.f64 (.f64 t z) 2) 1/1944 -1/18) (fma.f64 -1/524880 (pow.f64 (*.f64 t z) 6) 1))
(fma.f64 -1/18 (pow.f64 (.f64 t z) 2) (fma.f64 1/1944 (pow.f64 (.f64 t z) 4) (fma.f64 -1/524880 (pow.f64 (*.f64 t z) 6) 1)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z 1/3)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z 1/3)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z 1/3)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z 1/3)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z 1/3)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z 1/3)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z 1/3)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 t (.f64 z 1/3)))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 z 1/3))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 z 1/3))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 z 1/3))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 z 1/3))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 z 1/3))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 z 1/3))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 z 1/3))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 z 1/3))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 z 1/3))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 z 1/3))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 z 1/3))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 z 1/3))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 z 1/3))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 z 1/3))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 z 1/3))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 z 1/3))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 z 1/3))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 z 1/3))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 z 1/3))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 z 1/3))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 z 1/3))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 z 1/3))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 z 1/3))
(.f64 1/3 (.f64 t z))
(.f64 t (.f64 z 1/3))

localize38.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(/.f64 a (*.f64 b 3))
✓	0.3b	(.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))
✓	1.5b	(.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))))
✓	2.0b	(.f64 t (.f64 z (sin.f64 y)))

Compiler

Compiled 100 to 42 computations (58% saved)

series31.0ms (0.2%)

Counts

3 → 44

Calls

30 calls:

Time	Variable		Point	Expression
8.0ms	z	@	inf	(.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))))
2.0ms	t	@	0	(.f64 t (.f64 z (sin.f64 y)))
2.0ms	t	@	inf	(.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))))
1.0ms	y	@	0	(.f64 t (.f64 z (sin.f64 y)))
1.0ms	y	@	-inf	(.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))))

rewrite97.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

897×	`log-prod_binary64`
376×	`fma-def_binary64`
301×	`expm1-udef_binary64`
301×	`log1p-udef_binary64`
279×	`pow3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	46
1	339	44
2	4471	44

Stop Event

1×	node limit

Counts

3 → 107

Calls

Call 1

Inputs
(.f64 t (.f64 z (sin.f64 y)))
(.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))))
(.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))

Outputs

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4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) (*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 x 4))) (*.f64 (*.f64 z (*.f64 (sin.f64 y) t)) (*.f64 1/3 (sqrt.f64 (*.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/9 (pow.f64 (*.f64 z (*.f64 (sin.f64 y) t)) 2))) (*.f64 (cbrt.f64 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 t 1/3))) (sqrt.f64 (*.f64 x 4))) (*.f64 (sqrt.f64 (*.f64 x 4)) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x 4)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 4))) (cos.f64 y)) (*.f64 (*.f64 z (*.f64 (sin.f64 y) t)) (*.f64 1/3 (sqrt.f64 (*.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x 4)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 4))) (*.f64 (*.f64 z (sin.f64 y)) (*.f64 t 1/3))) (*.f64 (sqrt.f64 (*.f64 x 4)) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (*.f64 z (*.f64 (sin.f64 y) t)) (*.f64 1/3 (sqrt.f64 (*.f64 x 4))))) (sqrt.f64 (*.f64 (*.f64 z (*.f64 (sin.f64 y) t)) (*.f64 1/3 (sqrt.f64 (*.f64 x 4))))) (*.f64 (sqrt.f64 (*.f64 x 4)) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 t 1/3))) (sqrt.f64 (sqrt.f64 (*.f64 x 4)))) (*.f64 (sqrt.f64 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 t 1/3))) (sqrt.f64 (sqrt.f64 (*.f64 x 4)))) (*.f64 (sqrt.f64 (*.f64 x 4)) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x 4))) (sqrt.f64 (cos.f64 y))) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x 4))) (sqrt.f64 (cos.f64 y))) (*.f64 (*.f64 z (*.f64 (sin.f64 y) t)) (*.f64 1/3 (sqrt.f64 (*.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x 4))) (sqrt.f64 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 t 1/3)))) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x 4))) (sqrt.f64 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 t 1/3)))) (*.f64 (sqrt.f64 (*.f64 x 4)) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (sqrt.f64 (*.f64 x 4)))) (*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (sqrt.f64 (*.f64 x 4)))) (*.f64 (*.f64 z (*.f64 (sin.f64 y) t)) (*.f64 1/3 (sqrt.f64 (*.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) 2 (*.f64 (*.f64 z (*.f64 (sin.f64 y) t)) (*.f64 1/3 (sqrt.f64 (*.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 t 1/3)) (sqrt.f64 x)) 2 (*.f64 (sqrt.f64 (*.f64 x 4)) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 t 1/3)) 2) (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 x 4)) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 t 1/3)) (cbrt.f64 (*.f64 x 4))) (cbrt.f64 (sqrt.f64 (*.f64 x 4))) (*.f64 (sqrt.f64 (*.f64 x 4)) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 t 1/3)) (sqrt.f64 (sqrt.f64 (*.f64 x 4)))) (sqrt.f64 (sqrt.f64 (*.f64 x 4))) (*.f64 (sqrt.f64 (*.f64 x 4)) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (*.f64 x 4)) (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)) (*.f64 (*.f64 z (*.f64 (sin.f64 y) t)) (*.f64 1/3 (sqrt.f64 (*.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (*.f64 x 4)) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (*.f64 (*.f64 z (*.f64 (sin.f64 y) t)) (*.f64 1/3 (sqrt.f64 (*.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (*.f64 x 4)) (*.f64 z (*.f64 (sin.f64 y) t))) 1/3 (*.f64 (sqrt.f64 (*.f64 x 4)) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (*.f64 x 4)) 1/3) (*.f64 z (*.f64 (sin.f64 y) t)) (*.f64 (sqrt.f64 (*.f64 x 4)) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (*.f64 x 4)) (cbrt.f64 (*.f64 1/9 (pow.f64 (*.f64 z (*.f64 (sin.f64 y) t)) 2)))) (cbrt.f64 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 t 1/3))) (*.f64 (sqrt.f64 (*.f64 x 4)) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (*.f64 x 4)) (sqrt.f64 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 t 1/3)))) (sqrt.f64 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 t 1/3))) (*.f64 (sqrt.f64 (*.f64 x 4)) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (*.f64 x 4)) (*.f64 t 1/3)) (*.f64 z (sin.f64 y)) (*.f64 (sqrt.f64 (*.f64 x 4)) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 y) 2) (sqrt.f64 x) (*.f64 (*.f64 z (*.f64 (sin.f64 y) t)) (*.f64 1/3 (sqrt.f64 (*.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 y) (cbrt.f64 (*.f64 x 4))) (cbrt.f64 (sqrt.f64 (*.f64 x 4))) (*.f64 (*.f64 z (*.f64 (sin.f64 y) t)) (*.f64 1/3 (sqrt.f64 (*.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 (sqrt.f64 (*.f64 x 4)))) (sqrt.f64 (sqrt.f64 (*.f64 x 4))) (*.f64 (*.f64 z (*.f64 (sin.f64 y) t)) (*.f64 1/3 (sqrt.f64 (*.f64 x 4)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 t 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) (*.f64 z (*.f64 (sin.f64 y) t)))) (cbrt.f64 (pow.f64 (exp.f64 1/3) (*.f64 z (*.f64 (sin.f64 y) t)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) (*.f64 z (*.f64 (sin.f64 y) t))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) (*.f64 z (*.f64 (sin.f64 y) t))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) (*.f64 z (*.f64 (sin.f64 y) t))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 t 1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 t 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 t 1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 t 1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/27 (pow.f64 (*.f64 z (*.f64 (sin.f64 y) t)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (pow.f64 (*.f64 z (*.f64 (sin.f64 y) t)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) (*.f64 z (*.f64 (sin.f64 y) t))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 t 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/27 (pow.f64 (*.f64 z (*.f64 (sin.f64 y) t)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 t 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 t 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 t 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 t 1/3))) 1))))))

simplify74.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

805×	`fma-neg_binary64`
698×	`cancel-sign-sub-inv_binary64`
676×	`fma-def_binary64`
506×	`associate-l_binary64`
505×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	72	1075
1	207	983
2	729	929
3	3326	929
4	5344	922

Stop Event

1×	node limit

Counts

151 → 137

Calls

Call 1

Inputs
(.f64 y (.f64 t z))
(+.f64 (.f64 y (.f64 t z)) (.f64 -1/6 (.f64 (pow.f64 y 3) (*.f64 t z))))
(+.f64 (.f64 y (.f64 t z)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) (.f64 t z))) (.f64 1/120 (.f64 (pow.f64 y 5) (.f64 t z)))))
(+.f64 (.f64 y (.f64 t z)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) (.f64 t z))) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) (.f64 t z))) (.f64 -1/5040 (.f64 (pow.f64 y 7) (*.f64 t z))))))
(*.f64 2 (sqrt.f64 x))
(+.f64 (.f64 2/3 (.f64 (.f64 y (.f64 t z)) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 2/3 (.f64 (.f64 y (.f64 t z)) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x))))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 y 3) (.f64 t z)) (sqrt.f64 x))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 2/3 (.f64 (.f64 y (.f64 t z)) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))) (sqrt.f64 x)))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))) (sqrt.f64 x)))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))) (sqrt.f64 x)))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))) (sqrt.f64 x)))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))) (sqrt.f64 x)))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))) (sqrt.f64 x)))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))) (sqrt.f64 x)))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))))
(+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))))
(+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))))
(.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))))
(.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))))
(+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))))
(+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))))
(.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))))
(.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))))
(.f64 1/3 (.f64 y (*.f64 t z)))
(+.f64 (.f64 1/3 (.f64 y (.f64 t z))) (.f64 -1/18 (.f64 (pow.f64 y 3) (.f64 t z))))
(+.f64 (.f64 1/3 (.f64 y (.f64 t z))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 y 3) (.f64 t z))) (.f64 1/360 (.f64 (pow.f64 y 5) (*.f64 t z)))))
(+.f64 (.f64 1/3 (.f64 y (.f64 t z))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 y 3) (.f64 t z))) (+.f64 (.f64 -1/15120 (.f64 (pow.f64 y 7) (.f64 t z))) (.f64 1/360 (.f64 (pow.f64 y 5) (.f64 t z))))))

Outputs
(.f64 y (.f64 t z))
(+.f64 (.f64 y (.f64 t z)) (.f64 -1/6 (.f64 (pow.f64 y 3) (*.f64 t z))))
(fma.f64 y (.f64 t z) (.f64 -1/6 (.f64 (.f64 t z) (pow.f64 y 3))))
(.f64 (.f64 t z) (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y))
(.f64 (.f64 t z) (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (.f64 y (.f64 t z)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) (.f64 t z))) (.f64 1/120 (.f64 (pow.f64 y 5) (.f64 t z)))))
(fma.f64 y (.f64 t z) (fma.f64 -1/6 (.f64 (.f64 t z) (pow.f64 y 3)) (.f64 1/120 (.f64 (.f64 t z) (pow.f64 y 5)))))
(fma.f64 y (.f64 t z) (.f64 (.f64 t z) (+.f64 (.f64 -1/6 (pow.f64 y 3)) (*.f64 1/120 (pow.f64 y 5)))))
(.f64 (.f64 t z) (+.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (*.f64 1/120 (pow.f64 y 5))))
(.f64 (.f64 t z) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (fma.f64 -1/6 (pow.f64 y 3) y)))
(+.f64 (.f64 y (.f64 t z)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) (.f64 t z))) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) (.f64 t z))) (.f64 -1/5040 (.f64 (pow.f64 y 7) (*.f64 t z))))))
(fma.f64 y (.f64 t z) (fma.f64 -1/6 (.f64 (.f64 t z) (pow.f64 y 3)) (fma.f64 1/120 (.f64 (.f64 t z) (pow.f64 y 5)) (.f64 -1/5040 (.f64 (.f64 t z) (pow.f64 y 7))))))
(+.f64 (.f64 (.f64 t z) (+.f64 (.f64 -1/6 (pow.f64 y 3)) y)) (.f64 (.f64 t z) (+.f64 (.f64 1/120 (pow.f64 y 5)) (*.f64 -1/5040 (pow.f64 y 7)))))
(.f64 (.f64 t z) (+.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (fma.f64 1/120 (pow.f64 y 5) (*.f64 -1/5040 (pow.f64 y 7)))))
(*.f64 2 (sqrt.f64 x))
(+.f64 (.f64 2/3 (.f64 (.f64 y (.f64 t z)) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))
(fma.f64 2/3 (.f64 y (.f64 (.f64 t z) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (+.f64 2 (.f64 (.f64 y (.f64 t z)) 2/3)))
(.f64 (sqrt.f64 x) (fma.f64 (.f64 y 2/3) (*.f64 t z) 2))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 2/3 (.f64 (.f64 y (.f64 t z)) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x))))
(fma.f64 -1 (.f64 (sqrt.f64 x) (.f64 y y)) (fma.f64 2/3 (.f64 y (.f64 (.f64 t z) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x))))
(-.f64 (.f64 (sqrt.f64 x) (+.f64 2 (.f64 (.f64 y (.f64 t z)) 2/3))) (.f64 (sqrt.f64 x) (.f64 y y)))
(.f64 (sqrt.f64 x) (-.f64 (fma.f64 (.f64 y 2/3) (.f64 t z) 2) (.f64 y y)))
(.f64 (sqrt.f64 x) (+.f64 2 (.f64 y (fma.f64 (*.f64 t z) 2/3 (neg.f64 y)))))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 y 3) (.f64 t z)) (sqrt.f64 x))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 2/3 (.f64 (.f64 y (.f64 t z)) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))))
(fma.f64 -1/9 (.f64 (pow.f64 y 3) (.f64 (.f64 t z) (sqrt.f64 x))) (fma.f64 -1 (.f64 (sqrt.f64 x) (.f64 y y)) (fma.f64 2/3 (.f64 y (.f64 (.f64 t z) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))))
(+.f64 (.f64 (sqrt.f64 x) (+.f64 2 (.f64 (.f64 y (.f64 t z)) 2/3))) (.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 -1/9 (pow.f64 y 3)) (.f64 t z)) (neg.f64 (*.f64 y y)))))
(.f64 (sqrt.f64 x) (+.f64 (fma.f64 (.f64 y 2/3) (.f64 t z) 2) (fma.f64 (.f64 (.f64 -1/9 t) z) (pow.f64 y 3) (.f64 y (neg.f64 y)))))
(.f64 (sqrt.f64 x) (+.f64 (fma.f64 (.f64 y 2/3) (.f64 t z) 2) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 (.f64 -1/9 t) z) y) -1))))
(.f64 (sqrt.f64 x) (-.f64 (.f64 (.f64 t z) (+.f64 (.f64 (pow.f64 y 3) -1/9) (*.f64 y 2/3))) (fma.f64 y y -2)))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 1/3 (.f64 z (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 1/3 (.f64 z (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 1/3 (.f64 z (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 1/3 (.f64 z (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 1/3 (.f64 z (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 1/3 (.f64 z (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 1/3 (.f64 z (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y))))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 1/3 (.f64 z (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))
(+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 1/3 (.f64 z (sin.f64 y))) (cos.f64 y))))
(+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 1/3 (.f64 z (sin.f64 y))) (cos.f64 y))))
(+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 1/3 (.f64 z (sin.f64 y))) (cos.f64 y))))
(.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
(.f64 2/3 (.f64 (sqrt.f64 x) (.f64 t (.f64 z (sin.f64 y)))))
(.f64 (sqrt.f64 x) (.f64 2/3 (.f64 z (.f64 t (sin.f64 y)))))
(.f64 t (.f64 (sqrt.f64 x) (.f64 (.f64 2/3 (sin.f64 y)) z)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 1/3 (.f64 z (sin.f64 y))) (cos.f64 y))))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 1/3 (.f64 z (sin.f64 y))) (cos.f64 y))))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 1/3 (.f64 z (sin.f64 y))) (cos.f64 y))))
(.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
(.f64 2/3 (.f64 (sqrt.f64 x) (.f64 t (.f64 z (sin.f64 y)))))
(.f64 (sqrt.f64 x) (.f64 2/3 (.f64 z (.f64 t (sin.f64 y)))))
(.f64 t (.f64 (sqrt.f64 x) (.f64 (.f64 2/3 (sin.f64 y)) z)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 1/3 (.f64 z (sin.f64 y))) (cos.f64 y))))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 1/3 (.f64 z (sin.f64 y))) (cos.f64 y))))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 1/3 (.f64 z (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)))
(+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 1/3 (.f64 z (sin.f64 y))) (cos.f64 y))))
(+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 1/3 (.f64 z (sin.f64 y))) (cos.f64 y))))
(+.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 1/3 (.f64 z (sin.f64 y))) (cos.f64 y))))
(.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
(.f64 2/3 (.f64 (sqrt.f64 x) (.f64 t (.f64 z (sin.f64 y)))))
(.f64 (sqrt.f64 x) (.f64 2/3 (.f64 z (.f64 t (sin.f64 y)))))
(.f64 t (.f64 (sqrt.f64 x) (.f64 (.f64 2/3 (sin.f64 y)) z)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 1/3 (.f64 z (sin.f64 y))) (cos.f64 y))))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 1/3 (.f64 z (sin.f64 y))) (cos.f64 y))))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 1/3 (.f64 z (sin.f64 y))) (cos.f64 y))))
(.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x)))
(.f64 2/3 (.f64 (sqrt.f64 x) (.f64 t (.f64 z (sin.f64 y)))))
(.f64 (sqrt.f64 x) (.f64 2/3 (.f64 z (.f64 t (sin.f64 y)))))
(.f64 t (.f64 (sqrt.f64 x) (.f64 (.f64 2/3 (sin.f64 y)) z)))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 1/3 (.f64 z (sin.f64 y))) (cos.f64 y))))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 1/3 (.f64 z (sin.f64 y))) (cos.f64 y))))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))))
(.f64 2 (.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (*.f64 z (sin.f64 y)))))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 1/3 (.f64 z (.f64 t (sin.f64 y))) (cos.f64 y))))
(.f64 2 (.f64 (sqrt.f64 x) (fma.f64 t (.f64 1/3 (.f64 z (sin.f64 y))) (cos.f64 y))))
(.f64 1/3 (.f64 y (*.f64 t z)))
(.f64 (.f64 y (*.f64 t z)) 1/3)
(.f64 (.f64 t z) (*.f64 y 1/3))
(.f64 y (.f64 z (*.f64 t 1/3)))
(+.f64 (.f64 1/3 (.f64 y (.f64 t z))) (.f64 -1/18 (.f64 (pow.f64 y 3) (.f64 t z))))
(fma.f64 1/3 (.f64 y (.f64 t z)) (.f64 (.f64 (*.f64 t z) (pow.f64 y 3)) -1/18))
(.f64 (.f64 t z) (+.f64 (.f64 y 1/3) (.f64 (pow.f64 y 3) -1/18)))
(.f64 t (.f64 z (fma.f64 y 1/3 (*.f64 (pow.f64 y 3) -1/18))))
(+.f64 (.f64 1/3 (.f64 y (.f64 t z))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 y 3) (.f64 t z))) (.f64 1/360 (.f64 (pow.f64 y 5) (*.f64 t z)))))
(fma.f64 1/3 (.f64 y (.f64 t z)) (fma.f64 -1/18 (.f64 (.f64 t z) (pow.f64 y 3)) (.f64 (.f64 (*.f64 t z) (pow.f64 y 5)) 1/360)))
(fma.f64 (.f64 y (.f64 t z)) 1/3 (.f64 (.f64 t z) (+.f64 (.f64 (pow.f64 y 3) -1/18) (.f64 (pow.f64 y 5) 1/360))))
(.f64 (.f64 t z) (+.f64 (.f64 y 1/3) (fma.f64 (pow.f64 y 5) 1/360 (.f64 (pow.f64 y 3) -1/18))))
(.f64 (.f64 t z) (+.f64 (.f64 (pow.f64 y 5) 1/360) (fma.f64 y 1/3 (.f64 (pow.f64 y 3) -1/18))))
(+.f64 (.f64 1/3 (.f64 y (.f64 t z))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 y 3) (.f64 t z))) (+.f64 (.f64 -1/15120 (.f64 (pow.f64 y 7) (.f64 t z))) (.f64 1/360 (.f64 (pow.f64 y 5) (.f64 t z))))))
(fma.f64 1/3 (.f64 y (.f64 t z)) (fma.f64 -1/18 (.f64 (.f64 t z) (pow.f64 y 3)) (fma.f64 -1/15120 (.f64 (.f64 t z) (pow.f64 y 7)) (.f64 (.f64 (*.f64 t z) (pow.f64 y 5)) 1/360))))
(+.f64 (.f64 (.f64 t z) (+.f64 (.f64 y 1/3) (.f64 (pow.f64 y 3) -1/18))) (.f64 (.f64 t z) (+.f64 (.f64 (pow.f64 y 5) 1/360) (.f64 (pow.f64 y 7) -1/15120))))
(.f64 (.f64 t z) (+.f64 (fma.f64 y 1/3 (.f64 (pow.f64 y 3) -1/18)) (fma.f64 (pow.f64 y 7) -1/15120 (.f64 (pow.f64 y 5) 1/360))))
(.f64 (.f64 t z) (+.f64 (fma.f64 (pow.f64 y 7) -1/15120 (.f64 (pow.f64 y 5) 1/360)) (fma.f64 y 1/3 (.f64 (pow.f64 y 3) -1/18))))

localize58.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(/.f64 a (*.f64 b 3))
✓	0.3b	(fma.f64 (*.f64 z t) -1/3 y)
✓	0.4b	(log.f64 (exp.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y))))
✓	22.8b	(cos.f64 (fma.f64 (*.f64 z t) -1/3 y))

Compiler

Compiled 96 to 52 computations (45.8% saved)

series9.0ms (0%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(cos.f64 (fma.f64 (*.f64 z t) -1/3 y))
0.0ms	y	@	0	(cos.f64 (fma.f64 (*.f64 z t) -1/3 y))
0.0ms	t	@	-inf	(fma.f64 (*.f64 z t) -1/3 y)
0.0ms	z	@	-inf	(fma.f64 (*.f64 z t) -1/3 y)
0.0ms	t	@	0	(cos.f64 (fma.f64 (*.f64 z t) -1/3 y))

rewrite72.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

812×	`pow1_binary64`
744×	`log1p-expm1-u_binary64`
744×	`expm1-log1p-u_binary64`
743×	`add-log-exp_binary64`
727×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	179	28
2	1998	28

Stop Event

1×	node limit

Counts

3 → 61

Calls

Call 1

Inputs
(cos.f64 (fma.f64 (*.f64 z t) -1/3 y))
(log.f64 (exp.f64 (cos.f64 (fma.f64 (*.f64 z t) -1/3 y))))
(fma.f64 (*.f64 z t) -1/3 y)

Outputs

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

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

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

simplify100.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

913×	`fma-neg_binary64`
602×	`unswap-sqr_binary64`
534×	`*-commutative_binary64`
509×	`distribute-lft-out_binary64`
394×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	58	1445
1	163	1387
2	462	1371
3	1769	1341
4	3051	1337
5	6269	1337

Stop Event

1×	node limit

Counts

169 → 66

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

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

localize41.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 t -1/3)
	0.3b	(*.f64 a -1/3)
✓	0.4b	(expm1.f64 (log1p.f64 (*.f64 t -1/3)))
✓	8.3b	(cos.f64 (fma.f64 z (expm1.f64 (log1p.f64 (*.f64 t -1/3))) y))

Compiler

Compiled 83 to 54 computations (34.9% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(cos.f64 (fma.f64 z (expm1.f64 (log1p.f64 (*.f64 t -1/3))) y))
0.0ms	z	@	0	(cos.f64 (fma.f64 z (expm1.f64 (log1p.f64 (*.f64 t -1/3))) y))
0.0ms	t	@	0	(cos.f64 (fma.f64 z (expm1.f64 (log1p.f64 (*.f64 t -1/3))) y))
0.0ms	t	@	-inf	(cos.f64 (fma.f64 z (expm1.f64 (log1p.f64 (*.f64 t -1/3))) y))
0.0ms	t	@	inf	(cos.f64 (fma.f64 z (expm1.f64 (log1p.f64 (*.f64 t -1/3))) y))

rewrite57.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

823×	`pow1_binary64`
756×	`add-log-exp_binary64`
756×	`expm1-log1p-u_binary64`
755×	`log1p-expm1-u_binary64`
739×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	178	14
2	2021	14

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

Inputs
(cos.f64 (fma.f64 z (expm1.f64 (log1p.f64 (*.f64 t -1/3))) y))
(expm1.f64 (log1p.f64 (*.f64 t -1/3)))

Outputs

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

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

simplify74.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

913×	`fma-neg_binary64`
602×	`unswap-sqr_binary64`
540×	`*-commutative_binary64`
509×	`distribute-lft-out_binary64`
394×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	58	643
1	162	614
2	461	606
3	1768	591
4	3065	589
5	6284	589

Stop Event

1×	node limit

Counts

89 → 60

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)

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

eval340.0ms (1.7%)

Compiler: Compiled 17132 to 10112 computations (41% saved)

prune415.0ms (2.1%)

Pruning

66 alts after pruning (62 fresh and 4 done)

	Pruned	Kept	Total
New	635	47	682
Fresh	30	15	45
Picked	0	1	1
Done	1	3	4
Total	666	66	732

Error

14.0b

Counts

732 → 66

Alt Table

Click to see full alt table

Status	Error	Program
✓	16.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
▶	34.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 -1/18 (pow.f64 (.f64 t z) 2) 1)) (/.f64 a (.f64 b 3)))
	23.8b	(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
	19.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3))))) (cbrt.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))))) (cbrt.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3))))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))))) (/.f64 a (.f64 b 3)))
	16.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (pow.f64 (*.f64 3 (/.f64 b a)) -1))
	35.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (expm1.f64 (log1p.f64 (fma.f64 (.f64 z t) -1/3 y))))))) (/.f64 a (.f64 b 3)))
	16.5b	(fma.f64 (cbrt.f64 (.f64 x 4)) (.f64 (cbrt.f64 (.f64 2 (sqrt.f64 x))) (cos.f64 y)) (.f64 a (neg.f64 (/.f64 1/3 b))))
	23.5b	(-.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) 2) (.f64 x 4))) (/.f64 a (.f64 b 3)))
	34.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (expm1.f64 (log1p.f64 (.f64 z (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
	33.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (sqrt.f64 (.f64 1/9 (.f64 t t)))))) (/.f64 a (.f64 b 3)))
	33.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (cbrt.f64 (pow.f64 (.f64 z (.f64 1/3 t)) 3)))) (/.f64 a (*.f64 b 3)))
▶	35.7b	(*.f64 -1/3 (/.f64 a b))
	40.8b	(/.f64 (-.f64 (.f64 8 (pow.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) 3)) (/.f64 (pow.f64 (/.f64 a b) 3) 27)) (fma.f64 (.f64 a (/.f64 1/3 b)) (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b))) (.f64 (*.f64 x 4) (pow.f64 (cos.f64 y) 2))))
	33.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (sqrt.f64 (.f64 1/3 t)) 2)))) (/.f64 a (*.f64 b 3)))
	42.2b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (pow.f64 (pow.f64 (.f64 t -1/3) 3) 1/3) y))) (/.f64 (*.f64 a -1/3) b))
	19.4b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 (.f64 -1/3 (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t)) y))) (/.f64 (.f64 a -1/3) b))
	20.1b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x)))) 3) (/.f64 a (.f64 b 3)))
	40.7b	(-.f64 (.f64 t (.f64 (sqrt.f64 x) (.f64 (.f64 2/3 (sin.f64 y)) z))) (/.f64 a (*.f64 b 3)))
	27.5b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 t (sin.f64 y)) (.f64 z 2/3)) (.f64 (cos.f64 y) (+.f64 (.f64 -1/9 (.f64 t (.f64 z (.f64 t z)))) 2)))) (/.f64 a (.f64 b 3)))
	27.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (cbrt.f64 (.f64 1/3 t)) 3)))) (/.f64 a (*.f64 b 3)))
	19.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 a b) 1/3))
	40.7b	(-.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (/.f64 a (*.f64 b 3)))
	30.2b	(-.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) 1) (/.f64 a (*.f64 b 3)))
	37.3b	(-.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))) 3) 1/3) (/.f64 a (.f64 b 3)))
	40.8b	(/.f64 1 (/.f64 (fma.f64 (.f64 a (/.f64 1/3 b)) (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b))) (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2))) (-.f64 (.f64 8 (pow.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) 3)) (/.f64 (pow.f64 (/.f64 a b) 3) 27))))
▶	19.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (cbrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
	19.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (-.f64 (.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (cos.f64 y)) (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (sin.f64 y)))))) (/.f64 a (*.f64 b 3)))
	36.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (pow.f64 (.f64 1/3 t) 3) 1/3)))) (/.f64 a (*.f64 b 3)))
	16.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1 b) (/.f64 a 3)))
	16.2b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)) (/.f64 (.f64 a -1/3) b))
	47.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 z t) -1/3 y) 3) 1/3))))) (/.f64 a (.f64 b 3)))
	27.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 1/3 t))) 3))) (/.f64 a (*.f64 b 3)))
	35.3b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) t))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) t)))) y))) (/.f64 (.f64 a -1/3) b))
	29.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (expm1.f64 (log1p.f64 (*.f64 a (/.f64 1/3 b)))))
	19.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) 3))))) (/.f64 a (.f64 b 3)))
	29.6b	(-.f64 (exp.f64 (log.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) (/.f64 a (*.f64 b 3)))
▶	27.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (expm1.f64 (cos.f64 (.f64 z (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
	27.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z)))) (/.f64 a (*.f64 b 3)))
	33.4b	(-.f64 (exp.f64 (log.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))))) (/.f64 a (.f64 b 3)))
	16.9b	(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (/.f64 1/3 b)))) 2) (cbrt.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))))
	35.0b	(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 a (*.f64 b 3)))
	27.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (expm1.f64 (log1p.f64 (cos.f64 (.f64 z (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
	27.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (.f64 z 1/3)))) (/.f64 a (*.f64 b 3)))
	34.5b	(pow.f64 (sqrt.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))) 2)
	33.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (exp.f64 (log.f64 (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
	35.1b	(fma.f64 (sqrt.f64 x) (.f64 2 (+.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 (.f64 a -1/3) b))
	16.9b	(pow.f64 (cbrt.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))) 3)
	25.0b	(-.f64 (cbrt.f64 (.f64 8 (pow.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) 3))) (/.f64 a (*.f64 b 3)))
	19.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
✓	35.4b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (expm1.f64 (log1p.f64 (.f64 t -1/3))) y))) (/.f64 (*.f64 a -1/3) b))
	49.2b	(pow.f64 (pow.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 3) 1/3)
✓	27.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 1/3 t)))) (/.f64 a (*.f64 b 3)))
	16.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (.f64 (neg.f64 a) (/.f64 1 (.f64 b -3))))
	35.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (.f64 (cbrt.f64 (fma.f64 (.f64 z t) -1/3 y)) (cbrt.f64 (pow.f64 (fma.f64 (.f64 z t) -1/3 y) 2))))))) (/.f64 a (.f64 b 3)))
	19.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) 3))) (/.f64 a (.f64 b 3)))
	27.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (.f64 z (.f64 1/3 t))) 2))) (/.f64 a (*.f64 b 3)))
	19.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 z 3) t)))) (/.f64 a (.f64 b 3)))
▶	16.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 y)))) (/.f64 a (*.f64 b 3)))
	28.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (expm1.f64 (log1p.f64 (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
	16.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1/3 b) a))
	29.5b	(/.f64 (-.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2)) (pow.f64 (.f64 a (neg.f64 (/.f64 1/3 b))) 2)) (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (neg.f64 (/.f64 1/3 b)))))
	20.1b	(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2))) (/.f64 a (*.f64 b 3)))
	27.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 z (.f64 1/3 t)))) 3)) (/.f64 a (*.f64 b 3)))
✓	22.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))))) (/.f64 a (.f64 b 3)))
	61.6b	(log.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))))
	41.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (pow.f64 (pow.f64 (.f64 z (.f64 1/3 t)) 3) 1/3))) (/.f64 a (*.f64 b 3)))

Compiler

Compiled 3467 to 2681 computations (22.7% saved)

localize38.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(exp.f64 (cos.f64 y))
✓	0.1b	(.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 y))))
✓	0.2b	(log.f64 (exp.f64 (cos.f64 y)))
	0.3b	(/.f64 a (*.f64 b 3))

Compiler

Compiled 59 to 29 computations (50.8% saved)

series5.0ms (0%)

Counts

3 → 28

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 y))))
1.0ms	y	@	0	(exp.f64 (cos.f64 y))
0.0ms	y	@	0	(log.f64 (exp.f64 (cos.f64 y)))
0.0ms	x	@	-inf	(.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 y))))
0.0ms	x	@	inf	(.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 y))))

rewrite69.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

793×	`pow1_binary64`
728×	`add-log-exp_binary64`
728×	`log1p-expm1-u_binary64`
728×	`expm1-log1p-u_binary64`
710×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	183	19
2	2025	19

Stop Event

1×	node limit

Counts

3 → 51

Calls

Call 1

Inputs
(log.f64 (exp.f64 (cos.f64 y)))
(.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 y))))
(exp.f64 (cos.f64 y))

Outputs

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

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

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

simplify105.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

834×	`fma-neg_binary64`
682×	`distribute-rgt-neg-in_binary64`
493×	`distribute-lft-neg-in_binary64`
322×	`*-commutative_binary64`
283×	`neg-mul-1_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	53	334
1	136	317
2	375	287
3	1250	285
4	2316	283
5	4088	283
6	6265	283
7	7890	283

Stop Event

1×	node limit

Counts

79 → 75

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4))))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(*.f64 2 (sqrt.f64 x))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/12 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x))))
(+.f64 (.f64 -1/360 (.f64 (pow.f64 y 6) (sqrt.f64 x))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/12 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(exp.f64 1)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (exp.f64 1))) (exp.f64 1))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (exp.f64 1))) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 4) (exp.f64 1))) (exp.f64 1)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (exp.f64 1))) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 4) (exp.f64 1))) (+.f64 (.f64 -31/720 (.f64 (pow.f64 y 6) (exp.f64 1))) (exp.f64 1))))

Outputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/2 (.f64 y y)))
(fma.f64 -1/2 (*.f64 y y) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/2 (.f64 y y) (.f64 1/24 (pow.f64 y 4))))
(+.f64 (fma.f64 -1/2 (.f64 y y) 1) (.f64 1/24 (pow.f64 y 4)))
(fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) 1))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/2 (.f64 y y) (.f64 1/24 (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/2 (.f64 y y) (.f64 1/24 (pow.f64 y 4))) (fma.f64 -1/720 (pow.f64 y 6) 1))
(fma.f64 -1/720 (pow.f64 y 6) (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) 1)))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(*.f64 2 (sqrt.f64 x))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))
(fma.f64 -1 (.f64 (.f64 y y) (sqrt.f64 x)) (*.f64 2 (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (+.f64 2 (neg.f64 (.f64 y y))))
(.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y)))
(*.f64 (neg.f64 (sqrt.f64 x)) (fma.f64 y y -2))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/12 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x))))
(fma.f64 -1 (.f64 (.f64 y y) (sqrt.f64 x)) (fma.f64 1/12 (.f64 (pow.f64 y 4) (sqrt.f64 x)) (.f64 2 (sqrt.f64 x))))
(-.f64 (.f64 (sqrt.f64 x) (+.f64 2 (.f64 (pow.f64 y 4) 1/12))) (.f64 (.f64 y y) (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (-.f64 (fma.f64 (pow.f64 y 4) 1/12 2) (.f64 y y)))
(.f64 (sqrt.f64 x) (-.f64 (.f64 (pow.f64 y 4) 1/12) (fma.f64 y y -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 2 (sqrt.f64 x)))))
(fma.f64 -1/360 (.f64 (pow.f64 y 6) (sqrt.f64 x)) (fma.f64 -1 (.f64 (.f64 y y) (sqrt.f64 x)) (fma.f64 1/12 (.f64 (pow.f64 y 4) (sqrt.f64 x)) (*.f64 2 (sqrt.f64 x)))))
(+.f64 (.f64 (sqrt.f64 x) (+.f64 2 (.f64 (pow.f64 y 4) 1/12))) (.f64 (sqrt.f64 x) (+.f64 (.f64 (pow.f64 y 6) -1/360) (neg.f64 (*.f64 y y)))))
(.f64 (sqrt.f64 x) (+.f64 (fma.f64 (pow.f64 y 4) 1/12 2) (-.f64 (.f64 (pow.f64 y 6) -1/360) (*.f64 y y))))
(.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 (sqrt.f64 x) (-.f64 (fma.f64 (pow.f64 y 4) 1/12 2) (fma.f64 y y (.f64 (pow.f64 y 6) 1/360))))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
(.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
(.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
(.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
(.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
(.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
(.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
(.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)))
(.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x)))
(exp.f64 1)
(E.f64)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (exp.f64 1))) (exp.f64 1))
(fma.f64 -1/2 (.f64 (.f64 y y) (E.f64)) (E.f64))
(.f64 (fma.f64 -1/2 (.f64 y y) 1) (E.f64))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (exp.f64 1))) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 4) (exp.f64 1))) (exp.f64 1)))
(fma.f64 -1/2 (.f64 (.f64 y y) (E.f64)) (fma.f64 1/6 (*.f64 (pow.f64 y 4) (E.f64)) (E.f64)))
(fma.f64 -1/2 (.f64 (.f64 y y) (E.f64)) (fma.f64 (*.f64 (pow.f64 y 4) 1/6) (E.f64) (E.f64)))
(fma.f64 (E.f64) (fma.f64 -1/2 (.f64 y y) (.f64 (pow.f64 y 4) 1/6)) (E.f64))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (exp.f64 1))) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 4) (exp.f64 1))) (+.f64 (.f64 -31/720 (.f64 (pow.f64 y 6) (exp.f64 1))) (exp.f64 1))))
(fma.f64 -1/2 (.f64 (.f64 y y) (E.f64)) (fma.f64 1/6 (.f64 (pow.f64 y 4) (E.f64)) (fma.f64 -31/720 (.f64 (pow.f64 y 6) (E.f64)) (E.f64))))
(+.f64 (.f64 (E.f64) (+.f64 (.f64 (pow.f64 y 4) 1/6) (.f64 (pow.f64 y 6) -31/720))) (.f64 (fma.f64 -1/2 (*.f64 y y) 1) (E.f64)))
(fma.f64 (E.f64) (fma.f64 (pow.f64 y 4) 1/6 (.f64 (pow.f64 y 6) -31/720)) (.f64 (fma.f64 -1/2 (*.f64 y y) 1) (E.f64)))
(.f64 (E.f64) (+.f64 (fma.f64 -1/2 (.f64 y y) 1) (fma.f64 (pow.f64 y 4) 1/6 (*.f64 (pow.f64 y 6) -31/720))))

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 -1/3 (/.f64 a b))

Compiler

Compiled 17 to 10 computations (41.2% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	a	@	0	(*.f64 -1/3 (/.f64 a b))
0.0ms	a	@	inf	(*.f64 -1/3 (/.f64 a b))
0.0ms	b	@	inf	(*.f64 -1/3 (/.f64 a b))
0.0ms	a	@	-inf	(*.f64 -1/3 (/.f64 a b))
0.0ms	b	@	-inf	(*.f64 -1/3 (/.f64 a b))

rewrite69.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

653×	`pow1_binary64`
607×	`add-log-exp_binary64`
607×	`log1p-expm1-u_binary64`
607×	`expm1-log1p-u_binary64`
595×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	127	7
2	1611	7

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

Inputs
(*.f64 -1/3 (/.f64 a b))

Outputs

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

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

20 → 20

Calls

Call 1

Inputs

Outputs

localize56.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1)
	0.3b	(/.f64 a (*.f64 b 3))
✓	0.3b	(pow.f64 (*.f64 t z) 2)
✓	1.2b	(.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1))

Compiler

Compiled 77 to 46 computations (40.3% saved)

series23.0ms (0.1%)

Counts

3 → 72

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	t	@	inf	(.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1))
2.0ms	x	@	0	(.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1))
2.0ms	x	@	-inf	(.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1))
2.0ms	z	@	0	(.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1))
2.0ms	t	@	0	(.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1))

rewrite141.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

565×	`log-prod_binary64`
423×	`exp-prod_binary64`
355×	`pow-prod-down_binary64`
297×	`pow2_binary64`
224×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	37
1	261	37
2	2890	37

Stop Event

1×	node limit

Counts

3 → 92

Calls

Call 1

Inputs
(.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1))
(pow.f64 (*.f64 t z) 2)
(fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 2 (*.f64 (sqrt.f64 x) (fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/18 (pow.f64 (*.f64 t z) 2)) (*.f64 2 (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 -1/18 (pow.f64 (*.f64 t z) 2))) (*.f64 2 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2) (sqrt.f64 x)) (fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2) (sqrt.f64 x)) (fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 2) (sqrt.f64 x)) (fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 2) (sqrt.f64 x)) (fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x 4) (pow.f64 (fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1))))) 2)) (cbrt.f64 (log.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1)))))) (sqrt.f64 (log.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x 4) (pow.f64 (fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 2) (sqrt.f64 x)) (fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 -1/18 (pow.f64 (*.f64 t z) 2)) (*.f64 2 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/18 (pow.f64 (*.f64 t z) 2)) (*.f64 2 (sqrt.f64 x)) (*.f64 2 (sqrt.f64 x)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (*.f64 t z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 t z) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 t z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 t z) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 t z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 t z) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 t (*.f64 z (*.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (*.f64 t (*.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 t z) (*.f64 t z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 t z) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 t z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z z) (*.f64 t t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 t t) (*.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 t z)) 2) (pow.f64 (cbrt.f64 (*.f64 t z)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 t z)) 4) (pow.f64 (cbrt.f64 (*.f64 t z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 t z)) (pow.f64 (*.f64 t z) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 t z) 3/2) (sqrt.f64 (*.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 t z) t) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 t z) z) t)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 t z)) 5) (cbrt.f64 (*.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 t z) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 t z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 t z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 t z) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 t z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 t z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 t z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 t z) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (*.f64 t z)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 t z)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 t z))) 1) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 -1/18 (pow.f64 (*.f64 t z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/18 (pow.f64 (*.f64 t z) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/18 (pow.f64 (*.f64 t z) 2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1)) (pow.f64 (cbrt.f64 (fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1)) 2) (cbrt.f64 (fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1)) (sqrt.f64 (fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -1/18 (pow.f64 (*.f64 t z) 2)) 3) 1) (+.f64 (pow.f64 (*.f64 -1/18 (pow.f64 (*.f64 t z) 2)) 2) (-.f64 1 (*.f64 (*.f64 -1/18 (pow.f64 (*.f64 t z) 2)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 -1/18 (pow.f64 (*.f64 t z) 2)) 2) 1) (fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log1p.f64 (*.f64 -1/18 (pow.f64 (*.f64 t z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 -1/18 (pow.f64 (*.f64 t z) 2)))) 2)) (cbrt.f64 (log1p.f64 (*.f64 -1/18 (pow.f64 (*.f64 t z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (*.f64 -1/18 (pow.f64 (*.f64 t z) 2))))) (sqrt.f64 (log1p.f64 (*.f64 -1/18 (pow.f64 (*.f64 t z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 -1/18 (pow.f64 (*.f64 t z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 -1/18 (pow.f64 (*.f64 t z) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log1p.f64 (*.f64 -1/18 (pow.f64 (*.f64 t z) 2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 -1/18 (pow.f64 (*.f64 t z) 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 -1/18 (pow.f64 (*.f64 t z) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 -1/18 (pow.f64 (*.f64 t z) 2))) 1) 1))))))

simplify305.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

898×	`unswap-sqr_binary64`
714×	`sqr-pow_binary64`
630×	`*-commutative_binary64`
527×	`associate-l_binary64`
444×	`fabs-mul_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	1098
1	41	1008
2	107	972
3	415	972
4	2023	972
5	2616	972
6	2685	972
7	2801	972
8	2942	972
9	3077	972
10	3613	972
11	5073	972
12	5295	972
13	5583	972
14	5919	972
15	6331	972
16	6942	972
17	7715	972

Stop Event

1×	node limit

Counts

164 → 103

Calls

Call 1

Inputs
(*.f64 2 (sqrt.f64 x))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (pow.f64 z 2)) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x)))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (pow.f64 z 2)) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x)))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (pow.f64 z 2)) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x)))
(.f64 -1/9 (.f64 (*.f64 (pow.f64 t 2) (pow.f64 z 2)) (sqrt.f64 x)))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (pow.f64 z 2)) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x)))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (pow.f64 z 2)) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x)))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (pow.f64 z 2)) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x)))
(.f64 -1/9 (.f64 (*.f64 (pow.f64 t 2) (pow.f64 z 2)) (sqrt.f64 x)))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (pow.f64 z 2)) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x)))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (pow.f64 z 2)) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x)))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (pow.f64 z 2)) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x)))
(*.f64 2 (sqrt.f64 x))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (pow.f64 z 2)) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x)))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (pow.f64 z 2)) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x)))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (pow.f64 z 2)) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x)))
(.f64 -1/9 (.f64 (*.f64 (pow.f64 t 2) (pow.f64 z 2)) (sqrt.f64 x)))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (pow.f64 z 2)) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x)))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (pow.f64 z 2)) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x)))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (pow.f64 z 2)) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x)))
(.f64 -1/9 (.f64 (*.f64 (pow.f64 t 2) (pow.f64 z 2)) (sqrt.f64 x)))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (pow.f64 z 2)) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x)))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (pow.f64 z 2)) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x)))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (pow.f64 z 2)) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x)))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
1
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2)))
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2)))
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
1
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2)))
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2)))
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))

Outputs
(*.f64 2 (sqrt.f64 x))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (pow.f64 z 2)) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x)))
(fma.f64 -1/9 (.f64 (.f64 t t) (.f64 (.f64 z z) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (+.f64 2 (.f64 -1/9 (.f64 t (.f64 t (*.f64 z z))))))
(.f64 (sqrt.f64 x) (fma.f64 (.f64 -1/9 (.f64 t t)) (.f64 z z) 2))
(.f64 (sqrt.f64 x) (fma.f64 t (.f64 t (.f64 z (.f64 -1/9 z))) 2))
(.f64 (sqrt.f64 x) (fma.f64 z (.f64 (.f64 t t) (.f64 -1/9 z)) 2))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (pow.f64 z 2)) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x)))
(fma.f64 -1/9 (.f64 (.f64 t t) (.f64 (.f64 z z) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (+.f64 2 (.f64 -1/9 (.f64 t (.f64 t (*.f64 z z))))))
(.f64 (sqrt.f64 x) (fma.f64 (.f64 -1/9 (.f64 t t)) (.f64 z z) 2))
(.f64 (sqrt.f64 x) (fma.f64 t (.f64 t (.f64 z (.f64 -1/9 z))) 2))
(.f64 (sqrt.f64 x) (fma.f64 z (.f64 (.f64 t t) (.f64 -1/9 z)) 2))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (pow.f64 z 2)) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x)))
(fma.f64 -1/9 (.f64 (.f64 t t) (.f64 (.f64 z z) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (+.f64 2 (.f64 -1/9 (.f64 t (.f64 t (*.f64 z z))))))
(.f64 (sqrt.f64 x) (fma.f64 (.f64 -1/9 (.f64 t t)) (.f64 z z) 2))
(.f64 (sqrt.f64 x) (fma.f64 t (.f64 t (.f64 z (.f64 -1/9 z))) 2))
(.f64 (sqrt.f64 x) (fma.f64 z (.f64 (.f64 t t) (.f64 -1/9 z)) 2))
(.f64 -1/9 (.f64 (*.f64 (pow.f64 t 2) (pow.f64 z 2)) (sqrt.f64 x)))
(.f64 -1/9 (.f64 (.f64 t t) (.f64 (*.f64 z z) (sqrt.f64 x))))
(.f64 (sqrt.f64 x) (.f64 -1/9 (.f64 t (.f64 t (*.f64 z z)))))
(.f64 (sqrt.f64 x) (.f64 (.f64 z z) (.f64 -1/9 (*.f64 t t))))
(.f64 (sqrt.f64 x) (.f64 -1/9 (.f64 (.f64 t z) (*.f64 t z))))
(.f64 -1/9 (.f64 (.f64 t t) (.f64 (sqrt.f64 x) (*.f64 z z))))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (pow.f64 z 2)) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x)))
(fma.f64 -1/9 (.f64 (.f64 t t) (.f64 (.f64 z z) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (+.f64 2 (.f64 -1/9 (.f64 t (.f64 t (*.f64 z z))))))
(.f64 (sqrt.f64 x) (fma.f64 (.f64 -1/9 (.f64 t t)) (.f64 z z) 2))
(.f64 (sqrt.f64 x) (fma.f64 t (.f64 t (.f64 z (.f64 -1/9 z))) 2))
(.f64 (sqrt.f64 x) (fma.f64 z (.f64 (.f64 t t) (.f64 -1/9 z)) 2))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (pow.f64 z 2)) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x)))
(fma.f64 -1/9 (.f64 (.f64 t t) (.f64 (.f64 z z) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (+.f64 2 (.f64 -1/9 (.f64 t (.f64 t (*.f64 z z))))))
(.f64 (sqrt.f64 x) (fma.f64 (.f64 -1/9 (.f64 t t)) (.f64 z z) 2))
(.f64 (sqrt.f64 x) (fma.f64 t (.f64 t (.f64 z (.f64 -1/9 z))) 2))
(.f64 (sqrt.f64 x) (fma.f64 z (.f64 (.f64 t t) (.f64 -1/9 z)) 2))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (pow.f64 z 2)) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x)))
(fma.f64 -1/9 (.f64 (.f64 t t) (.f64 (.f64 z z) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (+.f64 2 (.f64 -1/9 (.f64 t (.f64 t (*.f64 z z))))))
(.f64 (sqrt.f64 x) (fma.f64 (.f64 -1/9 (.f64 t t)) (.f64 z z) 2))
(.f64 (sqrt.f64 x) (fma.f64 t (.f64 t (.f64 z (.f64 -1/9 z))) 2))
(.f64 (sqrt.f64 x) (fma.f64 z (.f64 (.f64 t t) (.f64 -1/9 z)) 2))
(.f64 -1/9 (.f64 (*.f64 (pow.f64 t 2) (pow.f64 z 2)) (sqrt.f64 x)))
(.f64 -1/9 (.f64 (.f64 t t) (.f64 (*.f64 z z) (sqrt.f64 x))))
(.f64 (sqrt.f64 x) (.f64 -1/9 (.f64 t (.f64 t (*.f64 z z)))))
(.f64 (sqrt.f64 x) (.f64 (.f64 z z) (.f64 -1/9 (*.f64 t t))))
(.f64 (sqrt.f64 x) (.f64 -1/9 (.f64 (.f64 t z) (*.f64 t z))))
(.f64 -1/9 (.f64 (.f64 t t) (.f64 (sqrt.f64 x) (*.f64 z z))))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (pow.f64 z 2)) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x)))
(fma.f64 -1/9 (.f64 (.f64 t t) (.f64 (.f64 z z) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (+.f64 2 (.f64 -1/9 (.f64 t (.f64 t (*.f64 z z))))))
(.f64 (sqrt.f64 x) (fma.f64 (.f64 -1/9 (.f64 t t)) (.f64 z z) 2))
(.f64 (sqrt.f64 x) (fma.f64 t (.f64 t (.f64 z (.f64 -1/9 z))) 2))
(.f64 (sqrt.f64 x) (fma.f64 z (.f64 (.f64 t t) (.f64 -1/9 z)) 2))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (pow.f64 z 2)) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x)))
(fma.f64 -1/9 (.f64 (.f64 t t) (.f64 (.f64 z z) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (+.f64 2 (.f64 -1/9 (.f64 t (.f64 t (*.f64 z z))))))
(.f64 (sqrt.f64 x) (fma.f64 (.f64 -1/9 (.f64 t t)) (.f64 z z) 2))
(.f64 (sqrt.f64 x) (fma.f64 t (.f64 t (.f64 z (.f64 -1/9 z))) 2))
(.f64 (sqrt.f64 x) (fma.f64 z (.f64 (.f64 t t) (.f64 -1/9 z)) 2))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (pow.f64 z 2)) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x)))
(fma.f64 -1/9 (.f64 (.f64 t t) (.f64 (.f64 z z) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (+.f64 2 (.f64 -1/9 (.f64 t (.f64 t (*.f64 z z))))))
(.f64 (sqrt.f64 x) (fma.f64 (.f64 -1/9 (.f64 t t)) (.f64 z z) 2))
(.f64 (sqrt.f64 x) (fma.f64 t (.f64 t (.f64 z (.f64 -1/9 z))) 2))
(.f64 (sqrt.f64 x) (fma.f64 z (.f64 (.f64 t t) (.f64 -1/9 z)) 2))
(*.f64 2 (sqrt.f64 x))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (pow.f64 z 2)) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x)))
(fma.f64 -1/9 (.f64 (.f64 t t) (.f64 (.f64 z z) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (+.f64 2 (.f64 -1/9 (.f64 t (.f64 t (*.f64 z z))))))
(.f64 (sqrt.f64 x) (fma.f64 (.f64 -1/9 (.f64 t t)) (.f64 z z) 2))
(.f64 (sqrt.f64 x) (fma.f64 t (.f64 t (.f64 z (.f64 -1/9 z))) 2))
(.f64 (sqrt.f64 x) (fma.f64 z (.f64 (.f64 t t) (.f64 -1/9 z)) 2))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (pow.f64 z 2)) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x)))
(fma.f64 -1/9 (.f64 (.f64 t t) (.f64 (.f64 z z) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (+.f64 2 (.f64 -1/9 (.f64 t (.f64 t (*.f64 z z))))))
(.f64 (sqrt.f64 x) (fma.f64 (.f64 -1/9 (.f64 t t)) (.f64 z z) 2))
(.f64 (sqrt.f64 x) (fma.f64 t (.f64 t (.f64 z (.f64 -1/9 z))) 2))
(.f64 (sqrt.f64 x) (fma.f64 z (.f64 (.f64 t t) (.f64 -1/9 z)) 2))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (pow.f64 z 2)) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x)))
(fma.f64 -1/9 (.f64 (.f64 t t) (.f64 (.f64 z z) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (+.f64 2 (.f64 -1/9 (.f64 t (.f64 t (*.f64 z z))))))
(.f64 (sqrt.f64 x) (fma.f64 (.f64 -1/9 (.f64 t t)) (.f64 z z) 2))
(.f64 (sqrt.f64 x) (fma.f64 t (.f64 t (.f64 z (.f64 -1/9 z))) 2))
(.f64 (sqrt.f64 x) (fma.f64 z (.f64 (.f64 t t) (.f64 -1/9 z)) 2))
(.f64 -1/9 (.f64 (*.f64 (pow.f64 t 2) (pow.f64 z 2)) (sqrt.f64 x)))
(.f64 -1/9 (.f64 (.f64 t t) (.f64 (*.f64 z z) (sqrt.f64 x))))
(.f64 (sqrt.f64 x) (.f64 -1/9 (.f64 t (.f64 t (*.f64 z z)))))
(.f64 (sqrt.f64 x) (.f64 (.f64 z z) (.f64 -1/9 (*.f64 t t))))
(.f64 (sqrt.f64 x) (.f64 -1/9 (.f64 (.f64 t z) (*.f64 t z))))
(.f64 -1/9 (.f64 (.f64 t t) (.f64 (sqrt.f64 x) (*.f64 z z))))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (pow.f64 z 2)) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x)))
(fma.f64 -1/9 (.f64 (.f64 t t) (.f64 (.f64 z z) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (+.f64 2 (.f64 -1/9 (.f64 t (.f64 t (*.f64 z z))))))
(.f64 (sqrt.f64 x) (fma.f64 (.f64 -1/9 (.f64 t t)) (.f64 z z) 2))
(.f64 (sqrt.f64 x) (fma.f64 t (.f64 t (.f64 z (.f64 -1/9 z))) 2))
(.f64 (sqrt.f64 x) (fma.f64 z (.f64 (.f64 t t) (.f64 -1/9 z)) 2))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (pow.f64 z 2)) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x)))
(fma.f64 -1/9 (.f64 (.f64 t t) (.f64 (.f64 z z) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (+.f64 2 (.f64 -1/9 (.f64 t (.f64 t (*.f64 z z))))))
(.f64 (sqrt.f64 x) (fma.f64 (.f64 -1/9 (.f64 t t)) (.f64 z z) 2))
(.f64 (sqrt.f64 x) (fma.f64 t (.f64 t (.f64 z (.f64 -1/9 z))) 2))
(.f64 (sqrt.f64 x) (fma.f64 z (.f64 (.f64 t t) (.f64 -1/9 z)) 2))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (pow.f64 z 2)) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x)))
(fma.f64 -1/9 (.f64 (.f64 t t) (.f64 (.f64 z z) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (+.f64 2 (.f64 -1/9 (.f64 t (.f64 t (*.f64 z z))))))
(.f64 (sqrt.f64 x) (fma.f64 (.f64 -1/9 (.f64 t t)) (.f64 z z) 2))
(.f64 (sqrt.f64 x) (fma.f64 t (.f64 t (.f64 z (.f64 -1/9 z))) 2))
(.f64 (sqrt.f64 x) (fma.f64 z (.f64 (.f64 t t) (.f64 -1/9 z)) 2))
(.f64 -1/9 (.f64 (*.f64 (pow.f64 t 2) (pow.f64 z 2)) (sqrt.f64 x)))
(.f64 -1/9 (.f64 (.f64 t t) (.f64 (*.f64 z z) (sqrt.f64 x))))
(.f64 (sqrt.f64 x) (.f64 -1/9 (.f64 t (.f64 t (*.f64 z z)))))
(.f64 (sqrt.f64 x) (.f64 (.f64 z z) (.f64 -1/9 (*.f64 t t))))
(.f64 (sqrt.f64 x) (.f64 -1/9 (.f64 (.f64 t z) (*.f64 t z))))
(.f64 -1/9 (.f64 (.f64 t t) (.f64 (sqrt.f64 x) (*.f64 z z))))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (pow.f64 z 2)) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x)))
(fma.f64 -1/9 (.f64 (.f64 t t) (.f64 (.f64 z z) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (+.f64 2 (.f64 -1/9 (.f64 t (.f64 t (*.f64 z z))))))
(.f64 (sqrt.f64 x) (fma.f64 (.f64 -1/9 (.f64 t t)) (.f64 z z) 2))
(.f64 (sqrt.f64 x) (fma.f64 t (.f64 t (.f64 z (.f64 -1/9 z))) 2))
(.f64 (sqrt.f64 x) (fma.f64 z (.f64 (.f64 t t) (.f64 -1/9 z)) 2))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (pow.f64 z 2)) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x)))
(fma.f64 -1/9 (.f64 (.f64 t t) (.f64 (.f64 z z) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (+.f64 2 (.f64 -1/9 (.f64 t (.f64 t (*.f64 z z))))))
(.f64 (sqrt.f64 x) (fma.f64 (.f64 -1/9 (.f64 t t)) (.f64 z z) 2))
(.f64 (sqrt.f64 x) (fma.f64 t (.f64 t (.f64 z (.f64 -1/9 z))) 2))
(.f64 (sqrt.f64 x) (fma.f64 z (.f64 (.f64 t t) (.f64 -1/9 z)) 2))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 t 2) (pow.f64 z 2)) (sqrt.f64 x))) (.f64 2 (sqrt.f64 x)))
(fma.f64 -1/9 (.f64 (.f64 t t) (.f64 (.f64 z z) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (+.f64 2 (.f64 -1/9 (.f64 t (.f64 t (*.f64 z z))))))
(.f64 (sqrt.f64 x) (fma.f64 (.f64 -1/9 (.f64 t t)) (.f64 z z) 2))
(.f64 (sqrt.f64 x) (fma.f64 t (.f64 t (.f64 z (.f64 -1/9 z))) 2))
(.f64 (sqrt.f64 x) (fma.f64 z (.f64 (.f64 t t) (.f64 -1/9 z)) 2))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(.f64 (.f64 t t) (*.f64 z z))
(.f64 t (.f64 t (*.f64 z z)))
(.f64 (.f64 t z) (*.f64 t z))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(.f64 (.f64 t t) (*.f64 z z))
(.f64 t (.f64 t (*.f64 z z)))
(.f64 (.f64 t z) (*.f64 t z))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(.f64 (.f64 t t) (*.f64 z z))
(.f64 t (.f64 t (*.f64 z z)))
(.f64 (.f64 t z) (*.f64 t z))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(.f64 (.f64 t t) (*.f64 z z))
(.f64 t (.f64 t (*.f64 z z)))
(.f64 (.f64 t z) (*.f64 t z))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(.f64 (.f64 t t) (*.f64 z z))
(.f64 t (.f64 t (*.f64 z z)))
(.f64 (.f64 t z) (*.f64 t z))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(.f64 (.f64 t t) (*.f64 z z))
(.f64 t (.f64 t (*.f64 z z)))
(.f64 (.f64 t z) (*.f64 t z))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(.f64 (.f64 t t) (*.f64 z z))
(.f64 t (.f64 t (*.f64 z z)))
(.f64 (.f64 t z) (*.f64 t z))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(.f64 (.f64 t t) (*.f64 z z))
(.f64 t (.f64 t (*.f64 z z)))
(.f64 (.f64 t z) (*.f64 t z))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(.f64 (.f64 t t) (*.f64 z z))
(.f64 t (.f64 t (*.f64 z z)))
(.f64 (.f64 t z) (*.f64 t z))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(.f64 (.f64 t t) (*.f64 z z))
(.f64 t (.f64 t (*.f64 z z)))
(.f64 (.f64 t z) (*.f64 t z))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(.f64 (.f64 t t) (*.f64 z z))
(.f64 t (.f64 t (*.f64 z z)))
(.f64 (.f64 t z) (*.f64 t z))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(.f64 (.f64 t t) (*.f64 z z))
(.f64 t (.f64 t (*.f64 z z)))
(.f64 (.f64 t z) (*.f64 t z))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(.f64 (.f64 t t) (*.f64 z z))
(.f64 t (.f64 t (*.f64 z z)))
(.f64 (.f64 t z) (*.f64 t z))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(.f64 (.f64 t t) (*.f64 z z))
(.f64 t (.f64 t (*.f64 z z)))
(.f64 (.f64 t z) (*.f64 t z))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(.f64 (.f64 t t) (*.f64 z z))
(.f64 t (.f64 t (*.f64 z z)))
(.f64 (.f64 t z) (*.f64 t z))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(.f64 (.f64 t t) (*.f64 z z))
(.f64 t (.f64 t (*.f64 z z)))
(.f64 (.f64 t z) (*.f64 t z))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(.f64 (.f64 t t) (*.f64 z z))
(.f64 t (.f64 t (*.f64 z z)))
(.f64 (.f64 t z) (*.f64 t z))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(.f64 (.f64 t t) (*.f64 z z))
(.f64 t (.f64 t (*.f64 z z)))
(.f64 (.f64 t z) (*.f64 t z))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(.f64 (.f64 t t) (*.f64 z z))
(.f64 t (.f64 t (*.f64 z z)))
(.f64 (.f64 t z) (*.f64 t z))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(.f64 (.f64 t t) (*.f64 z z))
(.f64 t (.f64 t (*.f64 z z)))
(.f64 (.f64 t z) (*.f64 t z))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(.f64 (.f64 t t) (*.f64 z z))
(.f64 t (.f64 t (*.f64 z z)))
(.f64 (.f64 t z) (*.f64 t z))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(.f64 (.f64 t t) (*.f64 z z))
(.f64 t (.f64 t (*.f64 z z)))
(.f64 (.f64 t z) (*.f64 t z))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(.f64 (.f64 t t) (*.f64 z z))
(.f64 t (.f64 t (*.f64 z z)))
(.f64 (.f64 t z) (*.f64 t z))
(*.f64 (pow.f64 t 2) (pow.f64 z 2))
(.f64 (.f64 t t) (*.f64 z z))
(.f64 t (.f64 t (*.f64 z z)))
(.f64 (.f64 t z) (*.f64 t z))
1
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 1 (.f64 (.f64 -1/18 (.f64 t t)) (.f64 z z)))
(fma.f64 (.f64 t (.f64 t (*.f64 z z))) -1/18 1)
(fma.f64 (.f64 t t) (.f64 z (*.f64 z -1/18)) 1)
(fma.f64 t (.f64 z (.f64 t (*.f64 z -1/18))) 1)
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 1 (.f64 (.f64 -1/18 (.f64 t t)) (.f64 z z)))
(fma.f64 (.f64 t (.f64 t (*.f64 z z))) -1/18 1)
(fma.f64 (.f64 t t) (.f64 z (*.f64 z -1/18)) 1)
(fma.f64 t (.f64 z (.f64 t (*.f64 z -1/18))) 1)
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 1 (.f64 (.f64 -1/18 (.f64 t t)) (.f64 z z)))
(fma.f64 (.f64 t (.f64 t (*.f64 z z))) -1/18 1)
(fma.f64 (.f64 t t) (.f64 z (*.f64 z -1/18)) 1)
(fma.f64 t (.f64 z (.f64 t (*.f64 z -1/18))) 1)
(.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2)))
(.f64 (.f64 -1/18 (.f64 t t)) (.f64 z z))
(.f64 (.f64 t t) (.f64 (.f64 z z) -1/18))
(.f64 z (.f64 (.f64 t (.f64 t z)) -1/18))
(.f64 (.f64 t z) (.f64 t (.f64 z -1/18)))
(.f64 t (.f64 z (.f64 t (.f64 z -1/18))))
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 1 (.f64 (.f64 -1/18 (.f64 t t)) (.f64 z z)))
(fma.f64 (.f64 t (.f64 t (*.f64 z z))) -1/18 1)
(fma.f64 (.f64 t t) (.f64 z (*.f64 z -1/18)) 1)
(fma.f64 t (.f64 z (.f64 t (*.f64 z -1/18))) 1)
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 1 (.f64 (.f64 -1/18 (.f64 t t)) (.f64 z z)))
(fma.f64 (.f64 t (.f64 t (*.f64 z z))) -1/18 1)
(fma.f64 (.f64 t t) (.f64 z (*.f64 z -1/18)) 1)
(fma.f64 t (.f64 z (.f64 t (*.f64 z -1/18))) 1)
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 1 (.f64 (.f64 -1/18 (.f64 t t)) (.f64 z z)))
(fma.f64 (.f64 t (.f64 t (*.f64 z z))) -1/18 1)
(fma.f64 (.f64 t t) (.f64 z (*.f64 z -1/18)) 1)
(fma.f64 t (.f64 z (.f64 t (*.f64 z -1/18))) 1)
(.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2)))
(.f64 (.f64 -1/18 (.f64 t t)) (.f64 z z))
(.f64 (.f64 t t) (.f64 (.f64 z z) -1/18))
(.f64 z (.f64 (.f64 t (.f64 t z)) -1/18))
(.f64 (.f64 t z) (.f64 t (.f64 z -1/18)))
(.f64 t (.f64 z (.f64 t (.f64 z -1/18))))
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 1 (.f64 (.f64 -1/18 (.f64 t t)) (.f64 z z)))
(fma.f64 (.f64 t (.f64 t (*.f64 z z))) -1/18 1)
(fma.f64 (.f64 t t) (.f64 z (*.f64 z -1/18)) 1)
(fma.f64 t (.f64 z (.f64 t (*.f64 z -1/18))) 1)
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 1 (.f64 (.f64 -1/18 (.f64 t t)) (.f64 z z)))
(fma.f64 (.f64 t (.f64 t (*.f64 z z))) -1/18 1)
(fma.f64 (.f64 t t) (.f64 z (*.f64 z -1/18)) 1)
(fma.f64 t (.f64 z (.f64 t (*.f64 z -1/18))) 1)
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 1 (.f64 (.f64 -1/18 (.f64 t t)) (.f64 z z)))
(fma.f64 (.f64 t (.f64 t (*.f64 z z))) -1/18 1)
(fma.f64 (.f64 t t) (.f64 z (*.f64 z -1/18)) 1)
(fma.f64 t (.f64 z (.f64 t (*.f64 z -1/18))) 1)
1
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 1 (.f64 (.f64 -1/18 (.f64 t t)) (.f64 z z)))
(fma.f64 (.f64 t (.f64 t (*.f64 z z))) -1/18 1)
(fma.f64 (.f64 t t) (.f64 z (*.f64 z -1/18)) 1)
(fma.f64 t (.f64 z (.f64 t (*.f64 z -1/18))) 1)
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 1 (.f64 (.f64 -1/18 (.f64 t t)) (.f64 z z)))
(fma.f64 (.f64 t (.f64 t (*.f64 z z))) -1/18 1)
(fma.f64 (.f64 t t) (.f64 z (*.f64 z -1/18)) 1)
(fma.f64 t (.f64 z (.f64 t (*.f64 z -1/18))) 1)
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 1 (.f64 (.f64 -1/18 (.f64 t t)) (.f64 z z)))
(fma.f64 (.f64 t (.f64 t (*.f64 z z))) -1/18 1)
(fma.f64 (.f64 t t) (.f64 z (*.f64 z -1/18)) 1)
(fma.f64 t (.f64 z (.f64 t (*.f64 z -1/18))) 1)
(.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2)))
(.f64 (.f64 -1/18 (.f64 t t)) (.f64 z z))
(.f64 (.f64 t t) (.f64 (.f64 z z) -1/18))
(.f64 z (.f64 (.f64 t (.f64 t z)) -1/18))
(.f64 (.f64 t z) (.f64 t (.f64 z -1/18)))
(.f64 t (.f64 z (.f64 t (.f64 z -1/18))))
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 1 (.f64 (.f64 -1/18 (.f64 t t)) (.f64 z z)))
(fma.f64 (.f64 t (.f64 t (*.f64 z z))) -1/18 1)
(fma.f64 (.f64 t t) (.f64 z (*.f64 z -1/18)) 1)
(fma.f64 t (.f64 z (.f64 t (*.f64 z -1/18))) 1)
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 1 (.f64 (.f64 -1/18 (.f64 t t)) (.f64 z z)))
(fma.f64 (.f64 t (.f64 t (*.f64 z z))) -1/18 1)
(fma.f64 (.f64 t t) (.f64 z (*.f64 z -1/18)) 1)
(fma.f64 t (.f64 z (.f64 t (*.f64 z -1/18))) 1)
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 1 (.f64 (.f64 -1/18 (.f64 t t)) (.f64 z z)))
(fma.f64 (.f64 t (.f64 t (*.f64 z z))) -1/18 1)
(fma.f64 (.f64 t t) (.f64 z (*.f64 z -1/18)) 1)
(fma.f64 t (.f64 z (.f64 t (*.f64 z -1/18))) 1)
(.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2)))
(.f64 (.f64 -1/18 (.f64 t t)) (.f64 z z))
(.f64 (.f64 t t) (.f64 (.f64 z z) -1/18))
(.f64 z (.f64 (.f64 t (.f64 t z)) -1/18))
(.f64 (.f64 t z) (.f64 t (.f64 z -1/18)))
(.f64 t (.f64 z (.f64 t (.f64 z -1/18))))
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 1 (.f64 (.f64 -1/18 (.f64 t t)) (.f64 z z)))
(fma.f64 (.f64 t (.f64 t (*.f64 z z))) -1/18 1)
(fma.f64 (.f64 t t) (.f64 z (*.f64 z -1/18)) 1)
(fma.f64 t (.f64 z (.f64 t (*.f64 z -1/18))) 1)
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 1 (.f64 (.f64 -1/18 (.f64 t t)) (.f64 z z)))
(fma.f64 (.f64 t (.f64 t (*.f64 z z))) -1/18 1)
(fma.f64 (.f64 t t) (.f64 z (*.f64 z -1/18)) 1)
(fma.f64 t (.f64 z (.f64 t (*.f64 z -1/18))) 1)
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 1 (.f64 (.f64 -1/18 (.f64 t t)) (.f64 z z)))
(fma.f64 (.f64 t (.f64 t (*.f64 z z))) -1/18 1)
(fma.f64 (.f64 t t) (.f64 z (*.f64 z -1/18)) 1)
(fma.f64 t (.f64 z (.f64 t (*.f64 z -1/18))) 1)

localize53.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(/.f64 a (*.f64 b 3))
	0.3b	(*.f64 1/3 t)
✓	0.7b	(expm1.f64 (cos.f64 (.f64 z (.f64 1/3 t))))
	26.9b	(cos.f64 (.f64 z (.f64 1/3 t)))

Compiler

Compiled 89 to 59 computations (33.7% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(expm1.f64 (cos.f64 (.f64 z (.f64 1/3 t))))
1.0ms	t	@	0	(expm1.f64 (cos.f64 (.f64 z (.f64 1/3 t))))
0.0ms	z	@	inf	(expm1.f64 (cos.f64 (.f64 z (.f64 1/3 t))))
0.0ms	t	@	inf	(expm1.f64 (cos.f64 (.f64 z (.f64 1/3 t))))
0.0ms	z	@	-inf	(expm1.f64 (cos.f64 (.f64 z (.f64 1/3 t))))

rewrite77.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

725×	`pow1_binary64`
666×	`add-log-exp_binary64`
666×	`log1p-expm1-u_binary64`
666×	`expm1-log1p-u_binary64`
652×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	158	11
2	1808	11

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

Inputs
(expm1.f64 (cos.f64 (.f64 z (.f64 1/3 t))))

Outputs

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

simplify65.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

619×	`unswap-sqr_binary64`
616×	`associate-+l+_binary64`
448×	`associate-+r+_binary64`
390×	`associate-l_binary64`
372×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	65	428
1	189	408
2	620	394
3	2849	390
4	6690	390

Stop Event

1×	node limit

Counts

42 → 30

Calls

Call 1

Inputs
(-.f64 (E.f64) 1)
(-.f64 (+.f64 (E.f64) (.f64 -1/18 (.f64 (E.f64) (*.f64 (pow.f64 t 2) (pow.f64 z 2))))) 1)
(-.f64 (+.f64 (E.f64) (+.f64 (.f64 -1/18 (.f64 (E.f64) (.f64 (pow.f64 t 2) (pow.f64 z 2)))) (.f64 (E.f64) (.f64 (+.f64 (.f64 1/1944 (pow.f64 t 4)) (*.f64 1/648 (pow.f64 t 4))) (pow.f64 z 4))))) 1)
(-.f64 (+.f64 (E.f64) (+.f64 (.f64 -1/18 (.f64 (E.f64) (.f64 (pow.f64 t 2) (pow.f64 z 2)))) (+.f64 (.f64 (E.f64) (.f64 (+.f64 (.f64 -1/524880 (pow.f64 t 6)) (.f64 -1/17496 (pow.f64 t 6))) (pow.f64 z 6))) (.f64 (E.f64) (.f64 (+.f64 (.f64 1/1944 (pow.f64 t 4)) (*.f64 1/648 (pow.f64 t 4))) (pow.f64 z 4)))))) 1)
(-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1)
(-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1)
(-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1)
(-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1)
(-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1)
(-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1)
(-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1)
(-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1)
(-.f64 (E.f64) 1)
(-.f64 (+.f64 (E.f64) (.f64 -1/18 (.f64 (E.f64) (*.f64 (pow.f64 t 2) (pow.f64 z 2))))) 1)
(-.f64 (+.f64 (E.f64) (+.f64 (.f64 (E.f64) (.f64 (pow.f64 t 4) (+.f64 (.f64 1/1944 (pow.f64 z 4)) (.f64 1/648 (pow.f64 z 4))))) (.f64 -1/18 (.f64 (E.f64) (*.f64 (pow.f64 t 2) (pow.f64 z 2)))))) 1)
(-.f64 (+.f64 (E.f64) (+.f64 (.f64 (E.f64) (.f64 (pow.f64 t 4) (+.f64 (.f64 1/1944 (pow.f64 z 4)) (.f64 1/648 (pow.f64 z 4))))) (+.f64 (.f64 -1/18 (.f64 (E.f64) (.f64 (pow.f64 t 2) (pow.f64 z 2)))) (.f64 (E.f64) (.f64 (+.f64 (.f64 -1/17496 (pow.f64 z 6)) (*.f64 -1/524880 (pow.f64 z 6))) (pow.f64 t 6)))))) 1)
(-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1)
(-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1)
(-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1)
(-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1)
(-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1)
(-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1)
(-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1)
(-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1)

Outputs
(-.f64 (E.f64) 1)
(+.f64 (E.f64) -1)
(expm1.f64 1)
(-.f64 (+.f64 (E.f64) (.f64 -1/18 (.f64 (E.f64) (*.f64 (pow.f64 t 2) (pow.f64 z 2))))) 1)
(+.f64 (+.f64 (E.f64) (.f64 -1/18 (.f64 (E.f64) (.f64 (.f64 t t) (*.f64 z z))))) -1)
(+.f64 (E.f64) (fma.f64 -1/18 (.f64 (E.f64) (.f64 (.f64 t z) (.f64 t z))) -1))
(fma.f64 (E.f64) (.f64 (.f64 -1/18 (.f64 t z)) (.f64 t z)) (expm1.f64 1))
(fma.f64 (.f64 -1/18 (.f64 (E.f64) (.f64 t t))) (.f64 z z) (expm1.f64 1))
(-.f64 (+.f64 (E.f64) (+.f64 (.f64 -1/18 (.f64 (E.f64) (.f64 (pow.f64 t 2) (pow.f64 z 2)))) (.f64 (E.f64) (.f64 (+.f64 (.f64 1/1944 (pow.f64 t 4)) (*.f64 1/648 (pow.f64 t 4))) (pow.f64 z 4))))) 1)
(+.f64 (+.f64 (E.f64) (fma.f64 -1/18 (.f64 (E.f64) (.f64 (.f64 t t) (.f64 z z))) (.f64 (E.f64) (.f64 (*.f64 (pow.f64 t 4) 1/486) (pow.f64 z 4))))) -1)
(+.f64 (fma.f64 (E.f64) (.f64 (pow.f64 t 4) (.f64 (pow.f64 z 4) 1/486)) (.f64 -1/18 (.f64 (E.f64) (.f64 (.f64 t z) (*.f64 t z))))) (expm1.f64 1))
(fma.f64 (fma.f64 (pow.f64 t 4) (.f64 (pow.f64 z 4) 1/486) 1) (E.f64) (fma.f64 (E.f64) (.f64 (.f64 -1/18 (.f64 t z)) (*.f64 t z)) -1))
(fma.f64 (E.f64) (+.f64 (fma.f64 (pow.f64 t 4) (.f64 (pow.f64 z 4) 1/486) 1) (.f64 -1/18 (.f64 (.f64 t z) (*.f64 t z)))) -1)
(-.f64 (+.f64 (E.f64) (+.f64 (.f64 -1/18 (.f64 (E.f64) (.f64 (pow.f64 t 2) (pow.f64 z 2)))) (+.f64 (.f64 (E.f64) (.f64 (+.f64 (.f64 -1/524880 (pow.f64 t 6)) (.f64 -1/17496 (pow.f64 t 6))) (pow.f64 z 6))) (.f64 (E.f64) (.f64 (+.f64 (.f64 1/1944 (pow.f64 t 4)) (*.f64 1/648 (pow.f64 t 4))) (pow.f64 z 4)))))) 1)
(+.f64 (+.f64 (E.f64) (fma.f64 -1/18 (.f64 (E.f64) (.f64 (.f64 t t) (.f64 z z))) (.f64 (E.f64) (+.f64 (.f64 (.f64 (pow.f64 t 6) -31/524880) (pow.f64 z 6)) (.f64 (*.f64 (pow.f64 t 4) 1/486) (pow.f64 z 4)))))) -1)
(+.f64 (fma.f64 (E.f64) (fma.f64 (.f64 (pow.f64 t 6) -31/524880) (pow.f64 z 6) (.f64 (pow.f64 t 4) (.f64 (pow.f64 z 4) 1/486))) (.f64 -1/18 (.f64 (E.f64) (.f64 (.f64 t z) (.f64 t z))))) (expm1.f64 1))
(+.f64 (expm1.f64 1) (.f64 (E.f64) (+.f64 (.f64 (.f64 -1/18 (.f64 t z)) (.f64 t z)) (fma.f64 (.f64 (pow.f64 t 6) -31/524880) (pow.f64 z 6) (.f64 (pow.f64 t 4) (.f64 (pow.f64 z 4) 1/486))))))
(+.f64 (E.f64) (fma.f64 (E.f64) (+.f64 (fma.f64 (.f64 (pow.f64 t 4) 1/486) (pow.f64 z 4) (.f64 (pow.f64 t 6) (.f64 (pow.f64 z 6) -31/524880))) (.f64 -1/18 (.f64 (.f64 t z) (*.f64 t z)))) -1))
(-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1)
(expm1.f64 (cos.f64 (.f64 1/3 (.f64 t z))))
(expm1.f64 (cos.f64 (.f64 z (.f64 t 1/3))))
(expm1.f64 (cos.f64 (.f64 t (.f64 z 1/3))))
(-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1)
(expm1.f64 (cos.f64 (.f64 1/3 (.f64 t z))))
(expm1.f64 (cos.f64 (.f64 z (.f64 t 1/3))))
(expm1.f64 (cos.f64 (.f64 t (.f64 z 1/3))))
(-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1)
(expm1.f64 (cos.f64 (.f64 1/3 (.f64 t z))))
(expm1.f64 (cos.f64 (.f64 z (.f64 t 1/3))))
(expm1.f64 (cos.f64 (.f64 t (.f64 z 1/3))))
(-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1)
(expm1.f64 (cos.f64 (.f64 1/3 (.f64 t z))))
(expm1.f64 (cos.f64 (.f64 z (.f64 t 1/3))))
(expm1.f64 (cos.f64 (.f64 t (.f64 z 1/3))))
(-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1)
(expm1.f64 (cos.f64 (.f64 1/3 (.f64 t z))))
(expm1.f64 (cos.f64 (.f64 z (.f64 t 1/3))))
(expm1.f64 (cos.f64 (.f64 t (.f64 z 1/3))))
(-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1)
(expm1.f64 (cos.f64 (.f64 1/3 (.f64 t z))))
(expm1.f64 (cos.f64 (.f64 z (.f64 t 1/3))))
(expm1.f64 (cos.f64 (.f64 t (.f64 z 1/3))))
(-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1)
(expm1.f64 (cos.f64 (.f64 1/3 (.f64 t z))))
(expm1.f64 (cos.f64 (.f64 z (.f64 t 1/3))))
(expm1.f64 (cos.f64 (.f64 t (.f64 z 1/3))))
(-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1)
(expm1.f64 (cos.f64 (.f64 1/3 (.f64 t z))))
(expm1.f64 (cos.f64 (.f64 z (.f64 t 1/3))))
(expm1.f64 (cos.f64 (.f64 t (.f64 z 1/3))))
(-.f64 (E.f64) 1)
(+.f64 (E.f64) -1)
(expm1.f64 1)
(-.f64 (+.f64 (E.f64) (.f64 -1/18 (.f64 (E.f64) (*.f64 (pow.f64 t 2) (pow.f64 z 2))))) 1)
(+.f64 (+.f64 (E.f64) (.f64 -1/18 (.f64 (E.f64) (.f64 (.f64 t t) (*.f64 z z))))) -1)
(+.f64 (E.f64) (fma.f64 -1/18 (.f64 (E.f64) (.f64 (.f64 t z) (.f64 t z))) -1))
(fma.f64 (E.f64) (.f64 (.f64 -1/18 (.f64 t z)) (.f64 t z)) (expm1.f64 1))
(fma.f64 (.f64 -1/18 (.f64 (E.f64) (.f64 t t))) (.f64 z z) (expm1.f64 1))
(-.f64 (+.f64 (E.f64) (+.f64 (.f64 (E.f64) (.f64 (pow.f64 t 4) (+.f64 (.f64 1/1944 (pow.f64 z 4)) (.f64 1/648 (pow.f64 z 4))))) (.f64 -1/18 (.f64 (E.f64) (*.f64 (pow.f64 t 2) (pow.f64 z 2)))))) 1)
(+.f64 (+.f64 (E.f64) (fma.f64 -1/18 (.f64 (E.f64) (.f64 (.f64 t t) (.f64 z z))) (.f64 (E.f64) (.f64 (*.f64 (pow.f64 t 4) 1/486) (pow.f64 z 4))))) -1)
(+.f64 (fma.f64 (E.f64) (.f64 (pow.f64 t 4) (.f64 (pow.f64 z 4) 1/486)) (.f64 -1/18 (.f64 (E.f64) (.f64 (.f64 t z) (*.f64 t z))))) (expm1.f64 1))
(fma.f64 (fma.f64 (pow.f64 t 4) (.f64 (pow.f64 z 4) 1/486) 1) (E.f64) (fma.f64 (E.f64) (.f64 (.f64 -1/18 (.f64 t z)) (*.f64 t z)) -1))
(fma.f64 (E.f64) (+.f64 (fma.f64 (pow.f64 t 4) (.f64 (pow.f64 z 4) 1/486) 1) (.f64 -1/18 (.f64 (.f64 t z) (*.f64 t z)))) -1)
(-.f64 (+.f64 (E.f64) (+.f64 (.f64 (E.f64) (.f64 (pow.f64 t 4) (+.f64 (.f64 1/1944 (pow.f64 z 4)) (.f64 1/648 (pow.f64 z 4))))) (+.f64 (.f64 -1/18 (.f64 (E.f64) (.f64 (pow.f64 t 2) (pow.f64 z 2)))) (.f64 (E.f64) (.f64 (+.f64 (.f64 -1/17496 (pow.f64 z 6)) (*.f64 -1/524880 (pow.f64 z 6))) (pow.f64 t 6)))))) 1)
(+.f64 (+.f64 (E.f64) (fma.f64 -1/18 (.f64 (E.f64) (.f64 (.f64 t t) (.f64 z z))) (.f64 (E.f64) (+.f64 (.f64 (.f64 (pow.f64 t 6) -31/524880) (pow.f64 z 6)) (.f64 (*.f64 (pow.f64 t 4) 1/486) (pow.f64 z 4)))))) -1)
(+.f64 (fma.f64 (E.f64) (fma.f64 (.f64 (pow.f64 t 6) -31/524880) (pow.f64 z 6) (.f64 (pow.f64 t 4) (.f64 (pow.f64 z 4) 1/486))) (.f64 -1/18 (.f64 (E.f64) (.f64 (.f64 t z) (.f64 t z))))) (expm1.f64 1))
(+.f64 (expm1.f64 1) (.f64 (E.f64) (+.f64 (.f64 (.f64 -1/18 (.f64 t z)) (.f64 t z)) (fma.f64 (.f64 (pow.f64 t 6) -31/524880) (pow.f64 z 6) (.f64 (pow.f64 t 4) (.f64 (pow.f64 z 4) 1/486))))))
(+.f64 (E.f64) (fma.f64 (E.f64) (+.f64 (fma.f64 (.f64 (pow.f64 t 4) 1/486) (pow.f64 z 4) (.f64 (pow.f64 t 6) (.f64 (pow.f64 z 6) -31/524880))) (.f64 -1/18 (.f64 (.f64 t z) (*.f64 t z)))) -1))
(-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1)
(expm1.f64 (cos.f64 (.f64 1/3 (.f64 t z))))
(expm1.f64 (cos.f64 (.f64 z (.f64 t 1/3))))
(expm1.f64 (cos.f64 (.f64 t (.f64 z 1/3))))
(-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1)
(expm1.f64 (cos.f64 (.f64 1/3 (.f64 t z))))
(expm1.f64 (cos.f64 (.f64 z (.f64 t 1/3))))
(expm1.f64 (cos.f64 (.f64 t (.f64 z 1/3))))
(-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1)
(expm1.f64 (cos.f64 (.f64 1/3 (.f64 t z))))
(expm1.f64 (cos.f64 (.f64 z (.f64 t 1/3))))
(expm1.f64 (cos.f64 (.f64 t (.f64 z 1/3))))
(-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1)
(expm1.f64 (cos.f64 (.f64 1/3 (.f64 t z))))
(expm1.f64 (cos.f64 (.f64 z (.f64 t 1/3))))
(expm1.f64 (cos.f64 (.f64 t (.f64 z 1/3))))
(-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1)
(expm1.f64 (cos.f64 (.f64 1/3 (.f64 t z))))
(expm1.f64 (cos.f64 (.f64 z (.f64 t 1/3))))
(expm1.f64 (cos.f64 (.f64 t (.f64 z 1/3))))
(-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1)
(expm1.f64 (cos.f64 (.f64 1/3 (.f64 t z))))
(expm1.f64 (cos.f64 (.f64 z (.f64 t 1/3))))
(expm1.f64 (cos.f64 (.f64 t (.f64 z 1/3))))
(-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1)
(expm1.f64 (cos.f64 (.f64 1/3 (.f64 t z))))
(expm1.f64 (cos.f64 (.f64 z (.f64 t 1/3))))
(expm1.f64 (cos.f64 (.f64 t (.f64 z 1/3))))
(-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1)
(expm1.f64 (cos.f64 (.f64 1/3 (.f64 t z))))
(expm1.f64 (cos.f64 (.f64 z (.f64 t 1/3))))
(expm1.f64 (cos.f64 (.f64 t (.f64 z 1/3))))

localize88.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (cbrt.f64 (.f64 z t)) 1/3)
✓	0.4b	(pow.f64 (cbrt.f64 (*.f64 z t)) 2)
✓	15.6b	(cbrt.f64 (*.f64 z t))
✓	23.2b	(cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (cbrt.f64 (.f64 z t)) 1/3))))

Compiler

Compiled 140 to 65 computations (53.6% saved)

series19.0ms (0.1%)

Counts

4 → 36

Calls

27 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (cbrt.f64 (.f64 z t)) 1/3))))
2.0ms	z	@	-inf	(.f64 (cbrt.f64 (.f64 z t)) 1/3)
2.0ms	z	@	inf	(.f64 (cbrt.f64 (.f64 z t)) 1/3)
1.0ms	z	@	-inf	(pow.f64 (cbrt.f64 (*.f64 z t)) 2)
1.0ms	z	@	-inf	(cbrt.f64 (*.f64 z t))

rewrite90.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

868×	`prod-diff_binary64`
673×	`log-prod_binary64`
286×	`fma-def_binary64`
244×	`expm1-udef_binary64`
244×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	36
1	283	36
2	3549	34

Stop Event

1×	node limit

Counts

4 → 118

Calls

Call 1

Inputs
(cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (cbrt.f64 (.f64 z t)) 1/3))))
(cbrt.f64 (*.f64 z t))
(pow.f64 (cbrt.f64 (*.f64 z t)) 2)
(.f64 (cbrt.f64 (.f64 z t)) 1/3)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) 1) (.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3))) (neg.f64 (.f64 (sin.f64 (.f64 (.f64 z t) -1/3)) (sin.f64 y)))) (fma.f64 (neg.f64 (sin.f64 (.f64 (.f64 z t) -1/3))) (sin.f64 y) (.f64 (sin.f64 (.f64 (.f64 z t) -1/3)) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 z t) -1/3 y)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 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(log.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.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 fma.f64 1 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3))) (neg.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 (.f64 z (.f64 t 1/3))) (cos.f64 y) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) 1 (.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) 1))))) (#(struct:change 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(sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3))))) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3))))) (sqrt.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 0 (cbrt.f64 (.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 z t)))) (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 z t)))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 z t))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (.f64 z t))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (.f64 z t))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 z t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 z t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z t))) 2) (cbrt.f64 (cbrt.f64 (.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (.f64 z t))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 z) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 t) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 z t) 1/6) (pow.f64 (.f64 z t) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z t))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (.f64 z t)) 1/3) (pow.f64 (sqrt.f64 (.f64 z t)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 z t) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 z t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 z t) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (.f64 z t)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 z t)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (*.f64 z t))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 (.f64 z t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2))) (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 z t)) (cbrt.f64 (.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (cbrt.f64 (.f64 z t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z t))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z t))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 z t))) (cbrt.f64 (.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 z) (.f64 (cbrt.f64 t) (cbrt.f64 (.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 z z)) (pow.f64 (cbrt.f64 t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 z t)) (pow.f64 (.f64 z t) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 z t) 1/6) (.f64 (pow.f64 (.f64 z t) 1/6) (cbrt.f64 (.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (.f64 z t)) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z t))) 2)) (cbrt.f64 (cbrt.f64 (.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (.f64 z t)) (cbrt.f64 z)) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 z t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2/3 (log.f64 (.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2/3 (log.f64 (.f64 z t))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (cbrt.f64 (.f64 z t)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) (cbrt.f64 (.f64 z t)))) (cbrt.f64 (pow.f64 (exp.f64 1/3) (cbrt.f64 (.f64 z t)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) (cbrt.f64 (.f64 z t))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) (cbrt.f64 (.f64 z t))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) (cbrt.f64 (.f64 z t))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cbrt.f64 (.f64 z t)) 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cbrt.f64 (.f64 z t)) 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 z t)) 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (cbrt.f64 (.f64 z t)) 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (cbrt.f64 (.f64 z t)) 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) (cbrt.f64 (.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (cbrt.f64 (.f64 z t)) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 z t)) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (cbrt.f64 (.f64 z t)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (cbrt.f64 (.f64 z t)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (cbrt.f64 (.f64 z t)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (cbrt.f64 (.f64 z t)) 1/3)) 1))))))

simplify67.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

638×	`fma-neg_binary64`
533×	`unswap-sqr_binary64`
526×	`distribute-lft-out_binary64`
384×	`cancel-sign-sub-inv_binary64`
350×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	641
1	185	566
2	538	545
3	2216	537
4	4456	537

Stop Event

1×	node limit

Counts

154 → 138

Calls

Call 1

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

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

eval256.0ms (1.3%)

Compiler: Compiled 13835 to 8556 computations (38.2% saved)

prune239.0ms (1.2%)

Pruning

92 alts after pruning (85 fresh and 7 done)

	Pruned	Kept	Total
New	512	38	550
Fresh	10	47	57
Picked	0	1	1
Done	2	6	8
Total	524	92	616

Error

13.9b

Counts

616 → 92

Alt Table

Click to see full alt table

Status	Error	Program
	19.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z t))) 3) 1/3))))) (/.f64 a (*.f64 b 3)))
✓	16.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
	16.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (pow.f64 (*.f64 3 (/.f64 b a)) -1))
	49.7b	(-.f64 (.f64 -1/9 (.f64 (.f64 t t) (.f64 (sqrt.f64 x) (.f64 z z)))) (/.f64 a (.f64 b 3)))
	16.5b	(fma.f64 (cbrt.f64 (.f64 x 4)) (.f64 (cbrt.f64 (.f64 2 (sqrt.f64 x))) (cos.f64 y)) (.f64 a (neg.f64 (/.f64 1/3 b))))
	35.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (expm1.f64 (log1p.f64 (fma.f64 (.f64 z t) -1/3 y))))))) (/.f64 a (.f64 b 3)))
	19.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (.f64 (cbrt.f64 z) (cbrt.f64 t)) 2) (.f64 (cbrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
	23.5b	(-.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) 2) (.f64 x 4))) (/.f64 a (.f64 b 3)))
	34.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (expm1.f64 (log1p.f64 (.f64 z (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
	33.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (sqrt.f64 (.f64 1/9 (.f64 t t)))))) (/.f64 a (.f64 b 3)))
	19.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 t)) 1/3))))) (/.f64 a (*.f64 b 3)))
	49.7b	(/.f64 (/.f64 (*.f64 -1/3 a) (sqrt.f64 b)) (sqrt.f64 b))
▶	33.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (cbrt.f64 (pow.f64 (.f64 z (.f64 1/3 t)) 3)))) (/.f64 a (*.f64 b 3)))
✓	35.7b	(*.f64 -1/3 (/.f64 a b))
	23.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (cos.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 z (.f64 t 1/3)))) (cbrt.f64 (pow.f64 (.f64 z (.f64 t 1/3)) 2)) (.f64 z (.f64 t 1/3))))) (.f64 (sin.f64 (fma.f64 (.f64 z t) -1/3 y)) (sin.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 z (.f64 t 1/3)))) (cbrt.f64 (pow.f64 (.f64 z (.f64 t 1/3)) 2)) (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
	19.4b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 (.f64 -1/3 (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t)) y))) (/.f64 (.f64 a -1/3) b))
	36.1b	(/.f64 (/.f64 (*.f64 -1/3 a) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))
	20.1b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x)))) 3) (/.f64 a (.f64 b 3)))
	40.8b	(/.f64 (-.f64 (.f64 8 (pow.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) 3)) (/.f64 (pow.f64 (/.f64 a b) 3) 27)) (fma.f64 (.f64 a (/.f64 1/3 b)) (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b))) (.f64 (*.f64 x 4) (pow.f64 (cos.f64 y) 2))))
	33.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (sqrt.f64 (.f64 1/3 t)) 2)))) (/.f64 a (*.f64 b 3)))
	42.2b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (pow.f64 (pow.f64 (.f64 t -1/3) 3) 1/3) y))) (/.f64 (*.f64 a -1/3) b))
	38.0b	(-.f64 (.f64 (sqrt.f64 x) (fma.f64 z (.f64 (.f64 t t) (.f64 -1/9 z)) 2)) (/.f64 a (*.f64 b 3)))
	27.5b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 t (sin.f64 y)) (.f64 z 2/3)) (.f64 (cos.f64 y) (+.f64 (.f64 -1/9 (.f64 t (.f64 z (.f64 t z)))) 2)))) (/.f64 a (.f64 b 3)))
	27.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (cbrt.f64 (.f64 1/3 t)) 3)))) (/.f64 a (*.f64 b 3)))
	19.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 a b) 1/3))
	40.7b	(-.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (/.f64 a (*.f64 b 3)))
	27.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (expm1.f64 (log1p.f64 (.f64 (cbrt.f64 (.f64 z t)) 1/3))))))) (/.f64 a (*.f64 b 3)))
	37.3b	(-.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))) 3) 1/3) (/.f64 a (.f64 b 3)))
	16.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (-.f64 (+.f64 1 (exp.f64 (cos.f64 y))) 1))) (/.f64 a (*.f64 b 3)))
✓	19.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (cbrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
	40.8b	(/.f64 1 (/.f64 (fma.f64 (.f64 a (/.f64 1/3 b)) (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b))) (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2))) (-.f64 (.f64 8 (pow.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) 3)) (/.f64 (pow.f64 (/.f64 a b) 3) 27))))
	19.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (-.f64 (.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (cos.f64 y)) (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (sin.f64 y)))))) (/.f64 a (*.f64 b 3)))
	36.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (pow.f64 (.f64 1/3 t) 3) 1/3)))) (/.f64 a (*.f64 b 3)))
	41.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (pow.f64 (.f64 z t) 1/3) 2) (.f64 (cbrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
	16.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1 b) (/.f64 a 3)))
	19.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3))))) (cbrt.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))))) (cbrt.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3))))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))))) (/.f64 a (.f64 b 3)))
	19.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (cos.f64 (+.f64 (.f64 (.f64 z t) -1/3) (.f64 z (.f64 t 1/3))))) (.f64 (sin.f64 (fma.f64 (.f64 z t) -1/3 y)) (sin.f64 (+.f64 (.f64 (.f64 z t) -1/3) (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
	23.8b	(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
	19.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2))) (.f64 (cbrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
	41.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (pow.f64 (.f64 z t) 1/3) 1/3))))) (/.f64 a (*.f64 b 3)))
	35.7b	(/.f64 (*.f64 -1/3 a) b)
	61.6b	(log.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))))
	23.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (cbrt.f64 (pow.f64 (.f64 z t) 2)) (.f64 (cbrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
	27.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 1/3 t))) 3))) (/.f64 a (*.f64 b 3)))
	47.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 z t) -1/3 y) 3) 1/3))))) (/.f64 a (.f64 b 3)))
	29.6b	(-.f64 (exp.f64 (log.f64 (.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x))))) (/.f64 a (*.f64 b 3)))
▶	16.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 y) 3))) (/.f64 a (*.f64 b 3)))
	35.3b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) t))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) t)))) y))) (/.f64 (.f64 a -1/3) b))
	29.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (expm1.f64 (log1p.f64 (*.f64 a (/.f64 1/3 b)))))
	35.7b	(/.f64 1 (/.f64 b (*.f64 -1/3 a)))
	41.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (pow.f64 (pow.f64 (.f64 z (.f64 1/3 t)) 3) 1/3))) (/.f64 a (*.f64 b 3)))
	48.9b	(expm1.f64 (log1p.f64 (*.f64 -1/3 (/.f64 a b))))
▶	35.7b	(/.f64 -1/3 (/.f64 b a))
	54.6b	(cbrt.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3))
	33.4b	(-.f64 (exp.f64 (log.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))))) (/.f64 a (.f64 b 3)))
	19.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) 3))))) (/.f64 a (.f64 b 3)))
✓	27.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (expm1.f64 (cos.f64 (.f64 z (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
	27.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z)))) (/.f64 a (*.f64 b 3)))
	38.8b	(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 a b))) 1)
	28.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (expm1.f64 (cos.f64 (.f64 z (expm1.f64 (log1p.f64 (.f64 1/3 t)))))))) (/.f64 a (*.f64 b 3)))
	25.0b	(-.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 2 (sqrt.f64 x)) 3) (pow.f64 (cos.f64 y) 3))) (/.f64 a (*.f64 b 3)))
	16.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 y)) 3)) (/.f64 a (*.f64 b 3)))
	35.0b	(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 a (*.f64 b 3)))
	27.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (expm1.f64 (log1p.f64 (cos.f64 (.f64 z (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
	27.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (.f64 z 1/3)))) (/.f64 a (*.f64 b 3)))
	45.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (.f64 t (.f64 z (.f64 t (.f64 z -1/18))))) (/.f64 a (*.f64 b 3)))
	34.5b	(pow.f64 (sqrt.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))) 2)
	33.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (exp.f64 (log.f64 (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
	16.9b	(pow.f64 (cbrt.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))) 3)
	25.0b	(-.f64 (cbrt.f64 (.f64 8 (pow.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) 3))) (/.f64 a (*.f64 b 3)))
	19.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
	19.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (/.f64 (-.f64 (.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3))))) (.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))))) (cos.f64 (fma.f64 z (.f64 t 1/3) y)))) (/.f64 a (.f64 b 3)))
	49.7b	(pow.f64 (sqrt.f64 (*.f64 -1/3 (/.f64 a b))) 2)
	49.2b	(pow.f64 (pow.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 3) 1/3)
	16.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) 3))) (/.f64 a (*.f64 b 3)))
	35.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (.f64 (cbrt.f64 (fma.f64 (.f64 z t) -1/3 y)) (cbrt.f64 (pow.f64 (fma.f64 (.f64 z t) -1/3 y) 2))))))) (/.f64 a (.f64 b 3)))
✓	27.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 1/3 t)))) (/.f64 a (*.f64 b 3)))
	16.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (.f64 (neg.f64 a) (/.f64 1 (.f64 b -3))))
▶	27.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (sqrt.f64 (pow.f64 (expm1.f64 (cos.f64 (.f64 z (.f64 1/3 t)))) 2)))) (/.f64 a (*.f64 b 3)))
	27.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (.f64 z (.f64 1/3 t))) 2))) (/.f64 a (*.f64 b 3)))
	36.0b	(pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 3)
▶	19.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 z 3) t)))) (/.f64 a (.f64 b 3)))
	20.1b	(-.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x 4))) (/.f64 a (*.f64 b 3)))
✓	16.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 y)))) (/.f64 a (*.f64 b 3)))
	28.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (expm1.f64 (log1p.f64 (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
	41.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (exp.f64 (.f64 (log.f64 (.f64 z t)) 1/3)) 1/3))))) (/.f64 a (.f64 b 3)))
	16.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1/3 b) a))
	59.1b	(pow.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3) 1/3)
	29.5b	(/.f64 (-.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2)) (pow.f64 (.f64 a (neg.f64 (/.f64 1/3 b))) 2)) (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (neg.f64 (/.f64 1/3 b)))))
	27.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 z (.f64 1/3 t)))) 3)) (/.f64 a (*.f64 b 3)))
✓	22.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))))) (/.f64 a (.f64 b 3)))
	35.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 z t) -1/3 y)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 z t) -1/3 y)))) (sin.f64 1)))) (/.f64 a (*.f64 b 3)))

Compiler

Compiled 4868 to 3737 computations (23.2% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 y) 3)))
	0.3b	(/.f64 a (*.f64 b 3))
✓	0.3b	(cbrt.f64 (pow.f64 (cos.f64 y) 3))
✓	0.3b	(pow.f64 (cos.f64 y) 3)

Compiler

Compiled 63 to 38 computations (39.7% saved)

series5.0ms (0%)

Counts

3 → 28

Calls

12 calls:

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

rewrite68.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

876×	`pow1_binary64`
816×	`add-log-exp_binary64`
815×	`log1p-expm1-u_binary64`
815×	`expm1-log1p-u_binary64`
795×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	228	20
2	2325	20

Stop Event

1×	node limit

Counts

3 → 52

Calls

Call 1

Inputs
(pow.f64 (cos.f64 y) 3)
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 y) 3)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 y) (pow.f64 (cos.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 y) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cos.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 y) 3/2) (pow.f64 (cos.f64 y) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 3) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 3) (pow.f64 (sqrt.f64 (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cos.f64 y) 2) 1) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 y) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cos.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (cos.f64 y) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cos.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cos.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (cos.f64 y))))))))

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

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

simplify52.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

887×	`fma-def_binary64`
737×	`fma-neg_binary64`
669×	`cancel-sign-sub-inv_binary64`
606×	`associate-l_binary64`
583×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	312
1	119	295
2	319	269
3	1048	267
4	4355	267

Stop Event

1×	node limit

Counts

80 → 74

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -3/2 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 7/8 (pow.f64 y 4)) (.f64 -3/2 (pow.f64 y 2))))
(+.f64 1 (+.f64 (.f64 -61/240 (pow.f64 y 6)) (+.f64 (.f64 7/8 (pow.f64 y 4)) (*.f64 -3/2 (pow.f64 y 2)))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4))))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(*.f64 2 (sqrt.f64 x))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/12 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x))))
(+.f64 (.f64 -1/360 (.f64 (pow.f64 y 6) (sqrt.f64 x))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/12 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))

Outputs
1
(+.f64 1 (*.f64 -3/2 (pow.f64 y 2)))
(+.f64 1 (.f64 -3/2 (.f64 y y)))
(fma.f64 -3/2 (*.f64 y y) 1)
(fma.f64 y (*.f64 -3/2 y) 1)
(+.f64 1 (+.f64 (.f64 7/8 (pow.f64 y 4)) (.f64 -3/2 (pow.f64 y 2))))
(+.f64 1 (fma.f64 7/8 (pow.f64 y 4) (.f64 -3/2 (.f64 y y))))
(+.f64 (fma.f64 -3/2 (.f64 y y) 1) (.f64 7/8 (pow.f64 y 4)))
(fma.f64 -3/2 (*.f64 y y) (fma.f64 7/8 (pow.f64 y 4) 1))
(+.f64 1 (+.f64 (.f64 -61/240 (pow.f64 y 6)) (+.f64 (.f64 7/8 (pow.f64 y 4)) (*.f64 -3/2 (pow.f64 y 2)))))
(+.f64 1 (fma.f64 -61/240 (pow.f64 y 6) (fma.f64 7/8 (pow.f64 y 4) (.f64 -3/2 (.f64 y y)))))
(+.f64 1 (fma.f64 -61/240 (pow.f64 y 6) (fma.f64 -3/2 (.f64 y y) (.f64 7/8 (pow.f64 y 4)))))
(fma.f64 -61/240 (pow.f64 y 6) (fma.f64 -3/2 (*.f64 y y) (fma.f64 7/8 (pow.f64 y 4) 1)))
(fma.f64 -3/2 (*.f64 y y) (fma.f64 -61/240 (pow.f64 y 6) (fma.f64 7/8 (pow.f64 y 4) 1)))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (.f64 (.f64 y y) -1/2))
(fma.f64 (*.f64 y y) -1/2 1)
(fma.f64 y (*.f64 y -1/2) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/2 (.f64 y y) (.f64 (pow.f64 y 4) 1/24)))
(+.f64 1 (fma.f64 (.f64 y y) -1/2 (.f64 (pow.f64 y 4) 1/24)))
(fma.f64 y (*.f64 y -1/2) (fma.f64 (pow.f64 y 4) 1/24 1))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/2 (.f64 y y) (.f64 (pow.f64 y 4) 1/24))))
(+.f64 (fma.f64 (.f64 y y) -1/2 (.f64 (pow.f64 y 4) 1/24)) (fma.f64 (pow.f64 y 6) -1/720 1))
(fma.f64 (pow.f64 y 6) -1/720 (fma.f64 y (*.f64 y -1/2) (fma.f64 (pow.f64 y 4) 1/24 1)))
(fma.f64 y (*.f64 y -1/2) (fma.f64 (pow.f64 y 4) 1/24 (fma.f64 (pow.f64 y 6) -1/720 1)))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(*.f64 2 (sqrt.f64 x))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))
(fma.f64 -1 (.f64 (.f64 y y) (sqrt.f64 x)) (*.f64 2 (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (+.f64 2 (neg.f64 (.f64 y y))))
(.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y)))
(*.f64 (sqrt.f64 x) (fma.f64 y (neg.f64 y) 2))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/12 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x))))
(fma.f64 -1 (.f64 (.f64 y y) (sqrt.f64 x)) (fma.f64 1/12 (.f64 (pow.f64 y 4) (sqrt.f64 x)) (.f64 2 (sqrt.f64 x))))
(-.f64 (.f64 (sqrt.f64 x) (+.f64 2 (.f64 (pow.f64 y 4) 1/12))) (.f64 y (.f64 y (sqrt.f64 x))))
(.f64 (sqrt.f64 x) (-.f64 (fma.f64 (pow.f64 y 4) 1/12 2) (.f64 y y)))
(*.f64 (sqrt.f64 x) (fma.f64 (pow.f64 y 4) 1/12 (fma.f64 y (neg.f64 y) 2)))
(.f64 (sqrt.f64 x) (-.f64 2 (fma.f64 y y (.f64 (pow.f64 y 4) -1/12))))
(+.f64 (.f64 -1/360 (.f64 (pow.f64 y 6) (sqrt.f64 x))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/12 (.f64 (pow.f64 y 4) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x)))))
(fma.f64 -1/360 (.f64 (pow.f64 y 6) (sqrt.f64 x)) (fma.f64 -1 (.f64 (.f64 y y) (sqrt.f64 x)) (fma.f64 1/12 (.f64 (pow.f64 y 4) (sqrt.f64 x)) (*.f64 2 (sqrt.f64 x)))))
(+.f64 (.f64 (sqrt.f64 x) (+.f64 2 (.f64 (pow.f64 y 4) 1/12))) (.f64 (sqrt.f64 x) (+.f64 (.f64 (pow.f64 y 6) -1/360) (neg.f64 (*.f64 y y)))))
(.f64 (sqrt.f64 x) (+.f64 (fma.f64 (pow.f64 y 4) 1/12 2) (-.f64 (.f64 (pow.f64 y 6) -1/360) (*.f64 y y))))
(.f64 (sqrt.f64 x) (-.f64 (fma.f64 (pow.f64 y 6) -1/360 (fma.f64 (pow.f64 y 4) 1/12 2)) (.f64 y y)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x)))
(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
(.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x)))

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.9b	(/.f64 -1/3 (/.f64 b a))

Compiler

Compiled 17 to 10 computations (41.2% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	b	@	0	(/.f64 -1/3 (/.f64 b a))
0.0ms	b	@	-inf	(/.f64 -1/3 (/.f64 b a))
0.0ms	a	@	-inf	(/.f64 -1/3 (/.f64 b a))
0.0ms	b	@	inf	(/.f64 -1/3 (/.f64 b a))
0.0ms	a	@	inf	(/.f64 -1/3 (/.f64 b a))

rewrite55.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

699×	`pow1_binary64`
653×	`add-log-exp_binary64`
653×	`log1p-expm1-u_binary64`
653×	`expm1-log1p-u_binary64`
640×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	134	7
2	1771	7

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

Inputs
(/.f64 -1/3 (/.f64 b a))

Outputs

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

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
1×	`associate-*r/_binary64`
1×	`associate-*l/_binary64`
1×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	9	168
2	13	168
3	17	168
4	18	168

Stop Event

1×

saturated

Counts

50 → 26

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))

Outputs
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))

localize40.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 z 3) t)
✓	0.2b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (*.f64 (/.f64 z 3) t))))
	0.3b	(/.f64 a (*.f64 b 3))
✓	22.9b	(cos.f64 (-.f64 y (*.f64 (/.f64 z 3) t)))

Compiler

Compiled 83 to 50 computations (39.8% saved)

series9.0ms (0%)

Counts

3 → 96

Calls

27 calls:

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

rewrite92.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

759×	`log-prod_binary64`
735×	`prod-diff_binary64`
278×	`expm1-udef_binary64`
278×	`log1p-udef_binary64`
276×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	39
1	310	39
2	4048	35

Stop Event

1×	node limit

Counts

3 → 94

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 t (*.f64 z -1/3)))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (*.f64 1/3 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (*.f64 1/3 t)))) (*.f64 (cos.f64 y) (cos.f64 (*.f64 t (*.f64 z -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (fma.f64 t (*.f64 z -1/3) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 t (*.f64 z -1/3)))) 1) (*.f64 (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (*.f64 1/3 t)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cos.f64 y) (cos.f64 (*.f64 t (*.f64 z -1/3))) (neg.f64 (*.f64 (sin.f64 (*.f64 t (*.f64 z -1/3))) (sin.f64 y)))) (fma.f64 (neg.f64 (sin.f64 (*.f64 t (*.f64 z -1/3)))) (sin.f64 y) (*.f64 (sin.f64 (*.f64 t (*.f64 z -1/3))) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 t (*.f64 z -1/3) y)))) (cos.f64 1)) (*.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 t (*.f64 z -1/3) y)))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 y 3) (fma.f64 (*.f64 z (*.f64 1/3 t)) (fma.f64 z (*.f64 1/3 t) y) (*.f64 y y)))) (cos.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z t) 3) 27) (fma.f64 (*.f64 z (*.f64 1/3 t)) (fma.f64 z (*.f64 1/3 t) y) (*.f64 y y))))) (*.f64 (sin.f64 (/.f64 (pow.f64 y 3) (fma.f64 (*.f64 z (*.f64 1/3 t)) (fma.f64 z (*.f64 1/3 t) y) (*.f64 y y)))) (sin.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z t) 3) 27) (fma.f64 (*.f64 z (*.f64 1/3 t)) (fma.f64 z (*.f64 1/3 t) y) (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (/.f64 (*.f64 y y) (fma.f64 z (*.f64 1/3 t) y))) (cos.f64 (/.f64 (pow.f64 (*.f64 z (*.f64 1/3 t)) 2) (fma.f64 z (*.f64 1/3 t) y)))) (*.f64 (sin.f64 (/.f64 (*.f64 y y) (fma.f64 z (*.f64 1/3 t) y))) (sin.f64 (/.f64 (pow.f64 (*.f64 z (*.f64 1/3 t)) 2) (fma.f64 z (*.f64 1/3 t) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 t (*.f64 z -1/3) y)))) (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 t (*.f64 z -1/3) y)))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 t (*.f64 z -1/3) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 t (*.f64 z -1/3) y))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 t (*.f64 z -1/3) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 t (*.f64 z -1/3)))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 t (*.f64 z -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 t (*.f64 z -1/3)))) (*.f64 (sin.f64 (*.f64 t (*.f64 z -1/3))) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 t (*.f64 z -1/3) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 (*.f64 t (*.f64 z -1/3)) 1))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 (*.f64 t (*.f64 z -1/3)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (fma.f64 t (*.f64 z -1/3) y)) (cos.f64 (fma.f64 (*.f64 z -1/3) t (*.f64 z (*.f64 1/3 t))))) (*.f64 (sin.f64 (fma.f64 t (*.f64 z -1/3) y)) (sin.f64 (fma.f64 (*.f64 z -1/3) t (*.f64 z (*.f64 1/3 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (fma.f64 t (*.f64 z -1/3) y)) (cos.f64 (fma.f64 (*.f64 t (*.f64 z -1/3)) 1 (*.f64 z (*.f64 1/3 t))))) (*.f64 (sin.f64 (fma.f64 t (*.f64 z -1/3) y)) (sin.f64 (fma.f64 (*.f64 t (*.f64 z -1/3)) 1 (*.f64 z (*.f64 1/3 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (fma.f64 t (*.f64 z -1/3) y)) (cos.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (*.f64 1/3 t)))) (cbrt.f64 (pow.f64 (*.f64 z (*.f64 1/3 t)) 2)) (*.f64 z (*.f64 1/3 t))))) (*.f64 (sin.f64 (fma.f64 t (*.f64 z -1/3) y)) (sin.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (*.f64 1/3 t)))) (cbrt.f64 (pow.f64 (*.f64 z (*.f64 1/3 t)) 2)) (*.f64 z (*.f64 1/3 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 z (*.f64 1/3 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) t)) (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) t)))) (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) t))) (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (*.f64 1/3 t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 3 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 t (/.f64 3 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 3 (*.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z t) 3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 z t)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 z) t) -3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t (neg.f64 z)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (*.f64 1/3 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (*.f64 1/3 t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (*.f64 1/3 t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 z t) 3) 27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (*.f64 1/3 t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) t))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (*.f64 1/3 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 z t) 3) 27))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (*.f64 1/3 t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (*.f64 1/3 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (*.f64 1/3 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (*.f64 1/3 t))) 1))))))

simplify80.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

712×	`associate-r_binary64`
689×	`associate-l_binary64`
645×	`fma-def_binary64`
400×	`distribute-rgt-neg-out_binary64`
351×	`distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	96	1814
1	298	1659
2	959	1545
3	4567	1539

Stop Event

1×	node limit

Counts

190 → 135

Calls

Call 1

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

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

localize47.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(/.f64 a (*.f64 b 3))
	0.3b	(*.f64 1/3 t)
✓	26.9b	(cos.f64 (cbrt.f64 (pow.f64 (.f64 z (.f64 1/3 t)) 3)))
✓	27.5b	(cbrt.f64 (pow.f64 (.f64 z (.f64 1/3 t)) 3))

Compiler

Compiled 94 to 64 computations (31.9% saved)

series9.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	z	@	-inf	(cbrt.f64 (pow.f64 (.f64 z (.f64 1/3 t)) 3))
2.0ms	t	@	-inf	(cbrt.f64 (pow.f64 (.f64 z (.f64 1/3 t)) 3))
0.0ms	z	@	0	(cbrt.f64 (pow.f64 (.f64 z (.f64 1/3 t)) 3))
0.0ms	z	@	0	(cos.f64 (cbrt.f64 (pow.f64 (.f64 z (.f64 1/3 t)) 3)))
0.0ms	z	@	inf	(cbrt.f64 (pow.f64 (.f64 z (.f64 1/3 t)) 3))

rewrite65.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

830×	`pow1_binary64`
774×	`add-log-exp_binary64`
774×	`log1p-expm1-u_binary64`
774×	`expm1-log1p-u_binary64`
755×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	211	16
2	2189	16

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (.f64 z (.f64 1/3 t)) 3))
(cos.f64 (cbrt.f64 (pow.f64 (.f64 z (.f64 1/3 t)) 3)))

Outputs

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

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

simplify133.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1129×	`fma-def_binary64`
659×	`sqr-pow_binary64`
415×	`*-commutative_binary64`
298×	`pow-sqr_binary64`
273×	`cube-prod_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	39	552
1	94	532
2	254	528
3	1004	524
4	2404	512
5	3049	506
6	3536	488
7	3930	488
8	4689	488
9	5272	488
10	5847	488
11	6566	488

Stop Event

1×	node limit

Counts

100 → 64

Calls

Call 1

Inputs
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z)))
(.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z)))
(.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z)))
(.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z)))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z)))
(.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z)))
(.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z)))
(.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z)))
1
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2)))))
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z))))
(cos.f64 (.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z))))
(cos.f64 (.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z))))
(cos.f64 (.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z))))
1
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2)))))
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z))))
(cos.f64 (.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z))))
(cos.f64 (.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z))))
(cos.f64 (.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z))))

Outputs
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z)))
(neg.f64 (.f64 (.f64 t (cbrt.f64 -1/27)) z))
(.f64 (.f64 z (cbrt.f64 -1/27)) (neg.f64 t))
(.f64 (.f64 t z) (neg.f64 (cbrt.f64 -1/27)))
(.f64 t (.f64 z (neg.f64 (cbrt.f64 -1/27))))
(.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z)))
(neg.f64 (.f64 (.f64 t (cbrt.f64 -1/27)) z))
(.f64 (.f64 z (cbrt.f64 -1/27)) (neg.f64 t))
(.f64 (.f64 t z) (neg.f64 (cbrt.f64 -1/27)))
(.f64 t (.f64 z (neg.f64 (cbrt.f64 -1/27))))
(.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z)))
(neg.f64 (.f64 (.f64 t (cbrt.f64 -1/27)) z))
(.f64 (.f64 z (cbrt.f64 -1/27)) (neg.f64 t))
(.f64 (.f64 t z) (neg.f64 (cbrt.f64 -1/27)))
(.f64 t (.f64 z (neg.f64 (cbrt.f64 -1/27))))
(.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z)))
(neg.f64 (.f64 (.f64 t (cbrt.f64 -1/27)) z))
(.f64 (.f64 z (cbrt.f64 -1/27)) (neg.f64 t))
(.f64 (.f64 t z) (neg.f64 (cbrt.f64 -1/27)))
(.f64 t (.f64 z (neg.f64 (cbrt.f64 -1/27))))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 1/3 (.f64 t z))
(.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z)))
(neg.f64 (.f64 (.f64 t (cbrt.f64 -1/27)) z))
(.f64 (.f64 z (cbrt.f64 -1/27)) (neg.f64 t))
(.f64 (.f64 t z) (neg.f64 (cbrt.f64 -1/27)))
(.f64 t (.f64 z (neg.f64 (cbrt.f64 -1/27))))
(.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z)))
(neg.f64 (.f64 (.f64 t (cbrt.f64 -1/27)) z))
(.f64 (.f64 z (cbrt.f64 -1/27)) (neg.f64 t))
(.f64 (.f64 t z) (neg.f64 (cbrt.f64 -1/27)))
(.f64 t (.f64 z (neg.f64 (cbrt.f64 -1/27))))
(.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z)))
(neg.f64 (.f64 (.f64 t (cbrt.f64 -1/27)) z))
(.f64 (.f64 z (cbrt.f64 -1/27)) (neg.f64 t))
(.f64 (.f64 t z) (neg.f64 (cbrt.f64 -1/27)))
(.f64 t (.f64 z (neg.f64 (cbrt.f64 -1/27))))
(.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z)))
(neg.f64 (.f64 (.f64 t (cbrt.f64 -1/27)) z))
(.f64 (.f64 z (cbrt.f64 -1/27)) (neg.f64 t))
(.f64 (.f64 t z) (neg.f64 (cbrt.f64 -1/27)))
(.f64 t (.f64 z (neg.f64 (cbrt.f64 -1/27))))
1
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 1 (.f64 -1/18 (.f64 (.f64 t t) (.f64 z z))))
(fma.f64 -1/18 (.f64 t (.f64 t (*.f64 z z))) 1)
(fma.f64 (.f64 (.f64 t -1/18) (*.f64 t z)) z 1)
(fma.f64 z (.f64 z (.f64 t (*.f64 t -1/18))) 1)
(fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1)
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2)))))
(+.f64 1 (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (.f64 -1/18 (.f64 (.f64 t t) (*.f64 z z)))))
(+.f64 1 (fma.f64 -1/18 (.f64 t (.f64 t (.f64 z z))) (.f64 (pow.f64 z 4) (*.f64 1/1944 (pow.f64 t 4)))))
(fma.f64 -1/18 (.f64 z (.f64 t (.f64 t z))) (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) 1))
(fma.f64 t (.f64 -1/18 (.f64 t (.f64 z z))) (fma.f64 (pow.f64 z 4) (.f64 1/1944 (pow.f64 t 4)) 1))
(fma.f64 t (.f64 -1/18 (.f64 t (.f64 z z))) (fma.f64 1/1944 (pow.f64 (.f64 t z) 4) 1))
(fma.f64 (pow.f64 (.f64 t z) 2) (fma.f64 (pow.f64 (.f64 t z) 2) 1/1944 -1/18) 1)
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(+.f64 1 (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (fma.f64 -1/18 (.f64 (.f64 t t) (.f64 z z)) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(+.f64 1 (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (fma.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6)) (.f64 (.f64 z z) (.f64 -1/18 (.f64 t t))))))
(+.f64 1 (fma.f64 -1/18 (.f64 z (.f64 t (.f64 t z))) (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(fma.f64 (pow.f64 z 4) (.f64 1/1944 (pow.f64 t 4)) (fma.f64 z (.f64 z (.f64 t (.f64 t -1/18))) (fma.f64 -1/524880 (*.f64 (pow.f64 t 6) (pow.f64 z 6)) 1)))
(fma.f64 t (.f64 -1/18 (.f64 t (.f64 z z))) (fma.f64 1/1944 (pow.f64 (.f64 t z) 4) (fma.f64 -1/524880 (*.f64 (pow.f64 t 6) (pow.f64 z 6)) 1)))
(fma.f64 t (.f64 -1/18 (.f64 t (.f64 z z))) (fma.f64 1/1944 (pow.f64 (.f64 t z) 4) (fma.f64 -1/524880 (pow.f64 (*.f64 t z) 6) 1)))
(fma.f64 (pow.f64 (.f64 t z) 2) (fma.f64 (pow.f64 (.f64 t z) 2) 1/1944 -1/18) (fma.f64 -1/524880 (pow.f64 (*.f64 t z) 6) 1))
(fma.f64 -1/18 (pow.f64 (.f64 t z) 2) (fma.f64 1/1944 (pow.f64 (.f64 t z) 4) (fma.f64 -1/524880 (pow.f64 (*.f64 t z) 6) 1)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z))))
(cos.f64 (neg.f64 (.f64 (.f64 t (cbrt.f64 -1/27)) z)))
(cos.f64 (.f64 z (.f64 t (cbrt.f64 -1/27))))
(cos.f64 (.f64 t (.f64 z (cbrt.f64 -1/27))))
(cos.f64 (.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z))))
(cos.f64 (neg.f64 (.f64 (.f64 t (cbrt.f64 -1/27)) z)))
(cos.f64 (.f64 z (.f64 t (cbrt.f64 -1/27))))
(cos.f64 (.f64 t (.f64 z (cbrt.f64 -1/27))))
(cos.f64 (.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z))))
(cos.f64 (neg.f64 (.f64 (.f64 t (cbrt.f64 -1/27)) z)))
(cos.f64 (.f64 z (.f64 t (cbrt.f64 -1/27))))
(cos.f64 (.f64 t (.f64 z (cbrt.f64 -1/27))))
(cos.f64 (.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z))))
(cos.f64 (neg.f64 (.f64 (.f64 t (cbrt.f64 -1/27)) z)))
(cos.f64 (.f64 z (.f64 t (cbrt.f64 -1/27))))
(cos.f64 (.f64 t (.f64 z (cbrt.f64 -1/27))))
1
(+.f64 1 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))))
(+.f64 1 (.f64 -1/18 (.f64 (.f64 t t) (.f64 z z))))
(fma.f64 -1/18 (.f64 t (.f64 t (*.f64 z z))) 1)
(fma.f64 (.f64 (.f64 t -1/18) (*.f64 t z)) z 1)
(fma.f64 z (.f64 z (.f64 t (*.f64 t -1/18))) 1)
(fma.f64 -1/18 (pow.f64 (*.f64 t z) 2) 1)
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2)))))
(+.f64 1 (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (.f64 -1/18 (.f64 (.f64 t t) (*.f64 z z)))))
(+.f64 1 (fma.f64 -1/18 (.f64 t (.f64 t (.f64 z z))) (.f64 (pow.f64 z 4) (*.f64 1/1944 (pow.f64 t 4)))))
(fma.f64 -1/18 (.f64 z (.f64 t (.f64 t z))) (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) 1))
(fma.f64 t (.f64 -1/18 (.f64 t (.f64 z z))) (fma.f64 (pow.f64 z 4) (.f64 1/1944 (pow.f64 t 4)) 1))
(fma.f64 t (.f64 -1/18 (.f64 t (.f64 z z))) (fma.f64 1/1944 (pow.f64 (.f64 t z) 4) 1))
(fma.f64 (pow.f64 (.f64 t z) 2) (fma.f64 (pow.f64 (.f64 t z) 2) 1/1944 -1/18) 1)
(+.f64 1 (+.f64 (.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 t 2) (pow.f64 z 2))) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(+.f64 1 (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (fma.f64 -1/18 (.f64 (.f64 t t) (.f64 z z)) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(+.f64 1 (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (fma.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6)) (.f64 (.f64 z z) (.f64 -1/18 (.f64 t t))))))
(+.f64 1 (fma.f64 -1/18 (.f64 z (.f64 t (.f64 t z))) (fma.f64 1/1944 (.f64 (pow.f64 t 4) (pow.f64 z 4)) (.f64 -1/524880 (.f64 (pow.f64 t 6) (pow.f64 z 6))))))
(fma.f64 (pow.f64 z 4) (.f64 1/1944 (pow.f64 t 4)) (fma.f64 z (.f64 z (.f64 t (.f64 t -1/18))) (fma.f64 -1/524880 (*.f64 (pow.f64 t 6) (pow.f64 z 6)) 1)))
(fma.f64 t (.f64 -1/18 (.f64 t (.f64 z z))) (fma.f64 1/1944 (pow.f64 (.f64 t z) 4) (fma.f64 -1/524880 (*.f64 (pow.f64 t 6) (pow.f64 z 6)) 1)))
(fma.f64 t (.f64 -1/18 (.f64 t (.f64 z z))) (fma.f64 1/1944 (pow.f64 (.f64 t z) 4) (fma.f64 -1/524880 (pow.f64 (*.f64 t z) 6) 1)))
(fma.f64 (pow.f64 (.f64 t z) 2) (fma.f64 (pow.f64 (.f64 t z) 2) 1/1944 -1/18) (fma.f64 -1/524880 (pow.f64 (*.f64 t z) 6) 1))
(fma.f64 -1/18 (pow.f64 (.f64 t z) 2) (fma.f64 1/1944 (pow.f64 (.f64 t z) 4) (fma.f64 -1/524880 (pow.f64 (*.f64 t z) 6) 1)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 1/3 (.f64 t z)))
(cos.f64 (.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z))))
(cos.f64 (neg.f64 (.f64 (.f64 t (cbrt.f64 -1/27)) z)))
(cos.f64 (.f64 z (.f64 t (cbrt.f64 -1/27))))
(cos.f64 (.f64 t (.f64 z (cbrt.f64 -1/27))))
(cos.f64 (.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z))))
(cos.f64 (neg.f64 (.f64 (.f64 t (cbrt.f64 -1/27)) z)))
(cos.f64 (.f64 z (.f64 t (cbrt.f64 -1/27))))
(cos.f64 (.f64 t (.f64 z (cbrt.f64 -1/27))))
(cos.f64 (.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z))))
(cos.f64 (neg.f64 (.f64 (.f64 t (cbrt.f64 -1/27)) z)))
(cos.f64 (.f64 z (.f64 t (cbrt.f64 -1/27))))
(cos.f64 (.f64 t (.f64 z (cbrt.f64 -1/27))))
(cos.f64 (.f64 -1 (.f64 t (*.f64 (cbrt.f64 -1/27) z))))
(cos.f64 (neg.f64 (.f64 (.f64 t (cbrt.f64 -1/27)) z)))
(cos.f64 (.f64 z (.f64 t (cbrt.f64 -1/27))))
(cos.f64 (.f64 t (.f64 z (cbrt.f64 -1/27))))

localize73.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 1/3 t)
	0.7b	(expm1.f64 (cos.f64 (.f64 z (.f64 1/3 t))))
✓	0.8b	(pow.f64 (expm1.f64 (cos.f64 (.f64 z (.f64 1/3 t)))) 2)
	26.9b	(cos.f64 (.f64 z (.f64 1/3 t)))

Compiler

Compiled 117 to 83 computations (29.1% saved)

series6.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	t	@	0	(pow.f64 (expm1.f64 (cos.f64 (.f64 z (.f64 1/3 t)))) 2)
2.0ms	z	@	0	(pow.f64 (expm1.f64 (cos.f64 (.f64 z (.f64 1/3 t)))) 2)
1.0ms	z	@	inf	(pow.f64 (expm1.f64 (cos.f64 (.f64 z (.f64 1/3 t)))) 2)
1.0ms	z	@	-inf	(pow.f64 (expm1.f64 (cos.f64 (.f64 z (.f64 1/3 t)))) 2)
1.0ms	t	@	-inf	(pow.f64 (expm1.f64 (cos.f64 (.f64 z (.f64 1/3 t)))) 2)

rewrite56.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

860×	`pow1_binary64`
791×	`add-log-exp_binary64`
791×	`log1p-expm1-u_binary64`
791×	`expm1-log1p-u_binary64`
774×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	202	14
2	2206	14

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

Inputs
(pow.f64 (expm1.f64 (cos.f64 (.f64 z (.f64 1/3 t)))) 2)

Outputs

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

simplify82.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

778×	`fma-neg_binary64`
643×	`sub-neg_binary64`
532×	`fma-def_binary64`
374×	`*-commutative_binary64`
342×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	82	656
1	254	644
2	1004	638
3	3653	638
4	4624	638
5	6269	638

Stop Event

1×	node limit

Counts

40 → 30

Calls

Call 1

Inputs
(pow.f64 (-.f64 (exp.f64 1) 1) 2)
(+.f64 (.f64 -1/9 (.f64 (pow.f64 t 2) (.f64 (-.f64 (exp.f64 1) 1) (.f64 (pow.f64 z 2) (exp.f64 1))))) (pow.f64 (-.f64 (exp.f64 1) 1) 2))
(+.f64 (.f64 (+.f64 (.f64 1/324 (.f64 (pow.f64 t 4) (pow.f64 (exp.f64 1) 2))) (.f64 2 (.f64 (+.f64 (.f64 1/1944 (pow.f64 t 4)) (.f64 1/648 (pow.f64 t 4))) (.f64 (-.f64 (exp.f64 1) 1) (exp.f64 1))))) (pow.f64 z 4)) (+.f64 (.f64 -1/9 (.f64 (pow.f64 t 2) (.f64 (-.f64 (exp.f64 1) 1) (.f64 (pow.f64 z 2) (exp.f64 1))))) (pow.f64 (-.f64 (exp.f64 1) 1) 2)))
(+.f64 (.f64 (+.f64 (.f64 1/324 (.f64 (pow.f64 t 4) (pow.f64 (exp.f64 1) 2))) (.f64 2 (.f64 (+.f64 (.f64 1/1944 (pow.f64 t 4)) (.f64 1/648 (pow.f64 t 4))) (.f64 (-.f64 (exp.f64 1) 1) (exp.f64 1))))) (pow.f64 z 4)) (+.f64 (.f64 -1/9 (.f64 (pow.f64 t 2) (.f64 (-.f64 (exp.f64 1) 1) (.f64 (pow.f64 z 2) (exp.f64 1))))) (+.f64 (.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 -1/17496 (pow.f64 t 6)) (.f64 -1/524880 (pow.f64 t 6))) (.f64 (-.f64 (exp.f64 1) 1) (exp.f64 1)))) (.f64 -1/9 (.f64 (+.f64 (.f64 1/1944 (pow.f64 t 4)) (.f64 1/648 (pow.f64 t 4))) (*.f64 (pow.f64 t 2) (pow.f64 (exp.f64 1) 2))))) (pow.f64 z 6)) (pow.f64 (-.f64 (exp.f64 1) 1) 2))))
(pow.f64 (-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1) 2)
(pow.f64 (-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1) 2)
(pow.f64 (-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1) 2)
(pow.f64 (-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1) 2)
(pow.f64 (-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1) 2)
(pow.f64 (-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1) 2)
(pow.f64 (-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1) 2)
(pow.f64 (-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1) 2)
(pow.f64 (-.f64 (exp.f64 1) 1) 2)
(+.f64 (.f64 -1/9 (.f64 (pow.f64 t 2) (.f64 (-.f64 (exp.f64 1) 1) (.f64 (pow.f64 z 2) (exp.f64 1))))) (pow.f64 (-.f64 (exp.f64 1) 1) 2))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 t 2) (.f64 (-.f64 (exp.f64 1) 1) (.f64 (pow.f64 z 2) (exp.f64 1))))) (+.f64 (.f64 (pow.f64 t 4) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/1944 (pow.f64 z 4)) (.f64 1/648 (pow.f64 z 4))) (.f64 (-.f64 (exp.f64 1) 1) (exp.f64 1)))) (.f64 1/324 (.f64 (pow.f64 z 4) (pow.f64 (exp.f64 1) 2))))) (pow.f64 (-.f64 (exp.f64 1) 1) 2)))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 t 2) (.f64 (-.f64 (exp.f64 1) 1) (.f64 (pow.f64 z 2) (exp.f64 1))))) (+.f64 (.f64 (pow.f64 t 6) (+.f64 (.f64 -1/9 (.f64 (+.f64 (.f64 1/1944 (pow.f64 z 4)) (.f64 1/648 (pow.f64 z 4))) (.f64 (pow.f64 z 2) (pow.f64 (exp.f64 1) 2)))) (.f64 2 (.f64 (+.f64 (.f64 -1/17496 (pow.f64 z 6)) (.f64 -1/524880 (pow.f64 z 6))) (.f64 (-.f64 (exp.f64 1) 1) (exp.f64 1)))))) (+.f64 (.f64 (pow.f64 t 4) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/1944 (pow.f64 z 4)) (.f64 1/648 (pow.f64 z 4))) (.f64 (-.f64 (exp.f64 1) 1) (exp.f64 1)))) (.f64 1/324 (*.f64 (pow.f64 z 4) (pow.f64 (exp.f64 1) 2))))) (pow.f64 (-.f64 (exp.f64 1) 1) 2))))
(pow.f64 (-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1) 2)
(pow.f64 (-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1) 2)
(pow.f64 (-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1) 2)
(pow.f64 (-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1) 2)
(pow.f64 (-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1) 2)
(pow.f64 (-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1) 2)
(pow.f64 (-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1) 2)
(pow.f64 (-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1) 2)

Outputs
(pow.f64 (-.f64 (exp.f64 1) 1) 2)
(pow.f64 (expm1.f64 1) 2)
(+.f64 (.f64 -1/9 (.f64 (pow.f64 t 2) (.f64 (-.f64 (exp.f64 1) 1) (.f64 (pow.f64 z 2) (exp.f64 1))))) (pow.f64 (-.f64 (exp.f64 1) 1) 2))
(fma.f64 -1/9 (.f64 (.f64 (.f64 t t) (expm1.f64 1)) (.f64 (E.f64) (*.f64 z z))) (pow.f64 (expm1.f64 1) 2))
(fma.f64 -1/9 (.f64 (expm1.f64 1) (.f64 (.f64 (E.f64) (.f64 z z)) (*.f64 t t))) (pow.f64 (expm1.f64 1) 2))
(.f64 (expm1.f64 1) (+.f64 (expm1.f64 1) (.f64 (.f64 (E.f64) (.f64 z z)) (.f64 -1/9 (.f64 t t)))))
(+.f64 (.f64 (+.f64 (.f64 1/324 (.f64 (pow.f64 t 4) (pow.f64 (exp.f64 1) 2))) (.f64 2 (.f64 (+.f64 (.f64 1/1944 (pow.f64 t 4)) (.f64 1/648 (pow.f64 t 4))) (.f64 (-.f64 (exp.f64 1) 1) (exp.f64 1))))) (pow.f64 z 4)) (+.f64 (.f64 -1/9 (.f64 (pow.f64 t 2) (.f64 (-.f64 (exp.f64 1) 1) (.f64 (pow.f64 z 2) (exp.f64 1))))) (pow.f64 (-.f64 (exp.f64 1) 1) 2)))
(fma.f64 (fma.f64 1/324 (.f64 (pow.f64 t 4) (pow.f64 (E.f64) 2)) (.f64 2 (.f64 (.f64 (pow.f64 t 4) 1/486) (.f64 (E.f64) (expm1.f64 1))))) (pow.f64 z 4) (fma.f64 -1/9 (.f64 (.f64 (.f64 t t) (expm1.f64 1)) (.f64 (E.f64) (.f64 z z))) (pow.f64 (expm1.f64 1) 2)))
(fma.f64 (fma.f64 2 (.f64 (E.f64) (.f64 (expm1.f64 1) (.f64 (pow.f64 t 4) 1/486))) (.f64 1/324 (.f64 (pow.f64 t 4) (exp.f64 2)))) (pow.f64 z 4) (fma.f64 -1/9 (.f64 (expm1.f64 1) (.f64 (.f64 (E.f64) (.f64 z z)) (.f64 t t))) (pow.f64 (expm1.f64 1) 2)))
(fma.f64 (fma.f64 1/324 (.f64 (pow.f64 t 4) (exp.f64 2)) (.f64 2 (.f64 (E.f64) (.f64 (pow.f64 t 4) (.f64 (expm1.f64 1) 1/486))))) (pow.f64 z 4) (.f64 (expm1.f64 1) (+.f64 (expm1.f64 1) (.f64 (.f64 (E.f64) (.f64 z z)) (.f64 -1/9 (*.f64 t t))))))
(fma.f64 (fma.f64 2 (.f64 (E.f64) (.f64 (expm1.f64 1) (.f64 (pow.f64 t 4) 1/486))) (.f64 (exp.f64 2) (.f64 1/324 (pow.f64 t 4)))) (pow.f64 z 4) (.f64 (expm1.f64 1) (+.f64 (expm1.f64 1) (.f64 (.f64 (E.f64) (.f64 z z)) (.f64 -1/9 (*.f64 t t))))))
(+.f64 (.f64 (+.f64 (.f64 1/324 (.f64 (pow.f64 t 4) (pow.f64 (exp.f64 1) 2))) (.f64 2 (.f64 (+.f64 (.f64 1/1944 (pow.f64 t 4)) (.f64 1/648 (pow.f64 t 4))) (.f64 (-.f64 (exp.f64 1) 1) (exp.f64 1))))) (pow.f64 z 4)) (+.f64 (.f64 -1/9 (.f64 (pow.f64 t 2) (.f64 (-.f64 (exp.f64 1) 1) (.f64 (pow.f64 z 2) (exp.f64 1))))) (+.f64 (.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 -1/17496 (pow.f64 t 6)) (.f64 -1/524880 (pow.f64 t 6))) (.f64 (-.f64 (exp.f64 1) 1) (exp.f64 1)))) (.f64 -1/9 (.f64 (+.f64 (.f64 1/1944 (pow.f64 t 4)) (.f64 1/648 (pow.f64 t 4))) (*.f64 (pow.f64 t 2) (pow.f64 (exp.f64 1) 2))))) (pow.f64 z 6)) (pow.f64 (-.f64 (exp.f64 1) 1) 2))))
(fma.f64 (fma.f64 1/324 (.f64 (pow.f64 t 4) (pow.f64 (E.f64) 2)) (.f64 2 (.f64 (.f64 (pow.f64 t 4) 1/486) (.f64 (E.f64) (expm1.f64 1))))) (pow.f64 z 4) (fma.f64 -1/9 (.f64 (.f64 (.f64 t t) (expm1.f64 1)) (.f64 (E.f64) (.f64 z z))) (fma.f64 (fma.f64 2 (.f64 (.f64 (E.f64) (expm1.f64 1)) (.f64 (pow.f64 t 6) -31/524880)) (.f64 -1/9 (.f64 (.f64 (pow.f64 t 4) 1/486) (.f64 (.f64 t t) (pow.f64 (E.f64) 2))))) (pow.f64 z 6) (pow.f64 (expm1.f64 1) 2))))
(fma.f64 (fma.f64 2 (.f64 (E.f64) (.f64 (expm1.f64 1) (.f64 (pow.f64 t 4) 1/486))) (.f64 1/324 (.f64 (pow.f64 t 4) (exp.f64 2)))) (pow.f64 z 4) (fma.f64 -1/9 (.f64 (expm1.f64 1) (.f64 (.f64 (E.f64) (.f64 z z)) (.f64 t t))) (fma.f64 (fma.f64 2 (.f64 (E.f64) (.f64 (expm1.f64 1) (.f64 (pow.f64 t 6) -31/524880))) (.f64 -1/9 (.f64 (exp.f64 2) (.f64 (.f64 t t) (.f64 (pow.f64 t 4) 1/486))))) (pow.f64 z 6) (pow.f64 (expm1.f64 1) 2))))
(fma.f64 (fma.f64 1/324 (.f64 (pow.f64 t 4) (exp.f64 2)) (.f64 2 (.f64 (E.f64) (.f64 (pow.f64 t 4) (.f64 (expm1.f64 1) 1/486))))) (pow.f64 z 4) (fma.f64 (fma.f64 (.f64 (E.f64) (expm1.f64 1)) (.f64 2 (.f64 (pow.f64 t 6) -31/524880)) (.f64 (.f64 t t) (.f64 (exp.f64 2) (.f64 -1/9 (.f64 (pow.f64 t 4) 1/486))))) (pow.f64 z 6) (.f64 (expm1.f64 1) (+.f64 (expm1.f64 1) (.f64 (.f64 (E.f64) (.f64 z z)) (.f64 -1/9 (*.f64 t t)))))))
(fma.f64 (fma.f64 1/324 (.f64 (pow.f64 t 4) (exp.f64 2)) (.f64 2 (.f64 (E.f64) (.f64 (pow.f64 t 4) (.f64 (expm1.f64 1) 1/486))))) (pow.f64 z 4) (fma.f64 (fma.f64 (-.f64 (exp.f64 2) (E.f64)) (.f64 2 (.f64 (pow.f64 t 6) -31/524880)) (.f64 (.f64 t t) (.f64 (exp.f64 2) (.f64 -1/9 (.f64 (pow.f64 t 4) 1/486))))) (pow.f64 z 6) (.f64 (expm1.f64 1) (+.f64 (expm1.f64 1) (.f64 (.f64 (E.f64) (.f64 z z)) (.f64 -1/9 (.f64 t t)))))))
(fma.f64 (fma.f64 2 (.f64 (E.f64) (.f64 (expm1.f64 1) (.f64 (pow.f64 t 4) 1/486))) (.f64 (exp.f64 2) (.f64 1/324 (pow.f64 t 4)))) (pow.f64 z 4) (fma.f64 (fma.f64 -1/9 (.f64 (exp.f64 2) (.f64 t (.f64 t (.f64 (pow.f64 t 4) 1/486)))) (.f64 (.f64 (expm1.f64 1) (.f64 (pow.f64 t 6) -31/524880)) (.f64 (E.f64) 2))) (pow.f64 z 6) (.f64 (expm1.f64 1) (+.f64 (expm1.f64 1) (.f64 (.f64 (E.f64) (.f64 z z)) (.f64 -1/9 (*.f64 t t)))))))
(pow.f64 (-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1) 2)
(pow.f64 (expm1.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 2)
(pow.f64 (expm1.f64 (cos.f64 (.f64 t (.f64 z 1/3)))) 2)
(pow.f64 (-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1) 2)
(pow.f64 (expm1.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 2)
(pow.f64 (expm1.f64 (cos.f64 (.f64 t (.f64 z 1/3)))) 2)
(pow.f64 (-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1) 2)
(pow.f64 (expm1.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 2)
(pow.f64 (expm1.f64 (cos.f64 (.f64 t (.f64 z 1/3)))) 2)
(pow.f64 (-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1) 2)
(pow.f64 (expm1.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 2)
(pow.f64 (expm1.f64 (cos.f64 (.f64 t (.f64 z 1/3)))) 2)
(pow.f64 (-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1) 2)
(pow.f64 (expm1.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 2)
(pow.f64 (expm1.f64 (cos.f64 (.f64 t (.f64 z 1/3)))) 2)
(pow.f64 (-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1) 2)
(pow.f64 (expm1.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 2)
(pow.f64 (expm1.f64 (cos.f64 (.f64 t (.f64 z 1/3)))) 2)
(pow.f64 (-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1) 2)
(pow.f64 (expm1.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 2)
(pow.f64 (expm1.f64 (cos.f64 (.f64 t (.f64 z 1/3)))) 2)
(pow.f64 (-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1) 2)
(pow.f64 (expm1.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 2)
(pow.f64 (expm1.f64 (cos.f64 (.f64 t (.f64 z 1/3)))) 2)
(pow.f64 (-.f64 (exp.f64 1) 1) 2)
(pow.f64 (expm1.f64 1) 2)
(+.f64 (.f64 -1/9 (.f64 (pow.f64 t 2) (.f64 (-.f64 (exp.f64 1) 1) (.f64 (pow.f64 z 2) (exp.f64 1))))) (pow.f64 (-.f64 (exp.f64 1) 1) 2))
(fma.f64 -1/9 (.f64 (.f64 (.f64 t t) (expm1.f64 1)) (.f64 (E.f64) (*.f64 z z))) (pow.f64 (expm1.f64 1) 2))
(fma.f64 -1/9 (.f64 (expm1.f64 1) (.f64 (.f64 (E.f64) (.f64 z z)) (*.f64 t t))) (pow.f64 (expm1.f64 1) 2))
(.f64 (expm1.f64 1) (+.f64 (expm1.f64 1) (.f64 (.f64 (E.f64) (.f64 z z)) (.f64 -1/9 (.f64 t t)))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 t 2) (.f64 (-.f64 (exp.f64 1) 1) (.f64 (pow.f64 z 2) (exp.f64 1))))) (+.f64 (.f64 (pow.f64 t 4) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/1944 (pow.f64 z 4)) (.f64 1/648 (pow.f64 z 4))) (.f64 (-.f64 (exp.f64 1) 1) (exp.f64 1)))) (.f64 1/324 (.f64 (pow.f64 z 4) (pow.f64 (exp.f64 1) 2))))) (pow.f64 (-.f64 (exp.f64 1) 1) 2)))
(fma.f64 -1/9 (.f64 (.f64 (.f64 t t) (expm1.f64 1)) (.f64 (E.f64) (.f64 z z))) (fma.f64 (pow.f64 t 4) (fma.f64 2 (.f64 (.f64 (E.f64) (expm1.f64 1)) (.f64 (pow.f64 z 4) 1/486)) (.f64 1/324 (.f64 (pow.f64 (E.f64) 2) (pow.f64 z 4)))) (pow.f64 (expm1.f64 1) 2)))
(fma.f64 -1/9 (.f64 (expm1.f64 1) (.f64 (.f64 (E.f64) (.f64 z z)) (.f64 t t))) (fma.f64 (pow.f64 t 4) (fma.f64 2 (.f64 (E.f64) (.f64 (expm1.f64 1) (.f64 (pow.f64 z 4) 1/486))) (.f64 1/324 (.f64 (exp.f64 2) (pow.f64 z 4)))) (pow.f64 (expm1.f64 1) 2)))
(fma.f64 (pow.f64 t 4) (fma.f64 2 (.f64 (E.f64) (.f64 (pow.f64 z 4) (.f64 (expm1.f64 1) 1/486))) (.f64 1/324 (.f64 (exp.f64 2) (pow.f64 z 4)))) (.f64 (expm1.f64 1) (+.f64 (expm1.f64 1) (.f64 (.f64 (E.f64) (.f64 z z)) (.f64 -1/9 (*.f64 t t))))))
(fma.f64 (pow.f64 t 4) (fma.f64 2 (.f64 (pow.f64 z 4) (.f64 (-.f64 (exp.f64 2) (E.f64)) 1/486)) (.f64 (exp.f64 2) (.f64 1/324 (pow.f64 z 4)))) (.f64 (expm1.f64 1) (+.f64 (expm1.f64 1) (.f64 (.f64 (E.f64) (.f64 z z)) (.f64 -1/9 (.f64 t t))))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 t 2) (.f64 (-.f64 (exp.f64 1) 1) (.f64 (pow.f64 z 2) (exp.f64 1))))) (+.f64 (.f64 (pow.f64 t 6) (+.f64 (.f64 -1/9 (.f64 (+.f64 (.f64 1/1944 (pow.f64 z 4)) (.f64 1/648 (pow.f64 z 4))) (.f64 (pow.f64 z 2) (pow.f64 (exp.f64 1) 2)))) (.f64 2 (.f64 (+.f64 (.f64 -1/17496 (pow.f64 z 6)) (.f64 -1/524880 (pow.f64 z 6))) (.f64 (-.f64 (exp.f64 1) 1) (exp.f64 1)))))) (+.f64 (.f64 (pow.f64 t 4) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/1944 (pow.f64 z 4)) (.f64 1/648 (pow.f64 z 4))) (.f64 (-.f64 (exp.f64 1) 1) (exp.f64 1)))) (.f64 1/324 (*.f64 (pow.f64 z 4) (pow.f64 (exp.f64 1) 2))))) (pow.f64 (-.f64 (exp.f64 1) 1) 2))))
(fma.f64 -1/9 (.f64 (.f64 (.f64 t t) (expm1.f64 1)) (.f64 (E.f64) (.f64 z z))) (fma.f64 (pow.f64 t 6) (fma.f64 -1/9 (.f64 (.f64 (pow.f64 z 4) 1/486) (.f64 (.f64 z z) (pow.f64 (E.f64) 2))) (.f64 2 (.f64 (.f64 (E.f64) (expm1.f64 1)) (.f64 (pow.f64 z 6) -31/524880)))) (fma.f64 (pow.f64 t 4) (fma.f64 2 (.f64 (.f64 (E.f64) (expm1.f64 1)) (.f64 (pow.f64 z 4) 1/486)) (.f64 1/324 (.f64 (pow.f64 (E.f64) 2) (pow.f64 z 4)))) (pow.f64 (expm1.f64 1) 2))))
(fma.f64 -1/9 (.f64 (expm1.f64 1) (.f64 (.f64 (E.f64) (.f64 z z)) (.f64 t t))) (fma.f64 (pow.f64 t 6) (fma.f64 2 (.f64 (E.f64) (.f64 (expm1.f64 1) (.f64 (pow.f64 z 6) -31/524880))) (.f64 -1/9 (.f64 (pow.f64 z 4) (.f64 1/486 (.f64 z (.f64 z (exp.f64 2))))))) (fma.f64 (pow.f64 t 4) (fma.f64 2 (.f64 (E.f64) (.f64 (expm1.f64 1) (.f64 (pow.f64 z 4) 1/486))) (.f64 1/324 (.f64 (exp.f64 2) (pow.f64 z 4)))) (pow.f64 (expm1.f64 1) 2))))
(fma.f64 (pow.f64 t 6) (fma.f64 -1/9 (.f64 (pow.f64 z 4) (.f64 (.f64 (.f64 z z) (exp.f64 2)) 1/486)) (.f64 (E.f64) (.f64 2 (.f64 (expm1.f64 1) (.f64 (pow.f64 z 6) -31/524880))))) (fma.f64 (pow.f64 t 4) (fma.f64 2 (.f64 (E.f64) (.f64 (pow.f64 z 4) (.f64 (expm1.f64 1) 1/486))) (.f64 1/324 (.f64 (exp.f64 2) (pow.f64 z 4)))) (.f64 (expm1.f64 1) (+.f64 (expm1.f64 1) (.f64 (.f64 (E.f64) (.f64 z z)) (.f64 -1/9 (*.f64 t t)))))))
(fma.f64 (pow.f64 t 6) (fma.f64 (.f64 (pow.f64 z 4) 1/486) (.f64 -1/9 (.f64 (.f64 z z) (exp.f64 2))) (.f64 (.f64 (expm1.f64 1) (.f64 (pow.f64 z 6) -31/524880)) (.f64 (E.f64) 2))) (fma.f64 (pow.f64 t 4) (fma.f64 2 (.f64 (pow.f64 z 4) (.f64 (-.f64 (exp.f64 2) (E.f64)) 1/486)) (.f64 (exp.f64 2) (.f64 1/324 (pow.f64 z 4)))) (.f64 (expm1.f64 1) (+.f64 (expm1.f64 1) (.f64 (.f64 (E.f64) (.f64 z z)) (.f64 -1/9 (.f64 t t)))))))
(pow.f64 (-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1) 2)
(pow.f64 (expm1.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 2)
(pow.f64 (expm1.f64 (cos.f64 (.f64 t (.f64 z 1/3)))) 2)
(pow.f64 (-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1) 2)
(pow.f64 (expm1.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 2)
(pow.f64 (expm1.f64 (cos.f64 (.f64 t (.f64 z 1/3)))) 2)
(pow.f64 (-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1) 2)
(pow.f64 (expm1.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 2)
(pow.f64 (expm1.f64 (cos.f64 (.f64 t (.f64 z 1/3)))) 2)
(pow.f64 (-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1) 2)
(pow.f64 (expm1.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 2)
(pow.f64 (expm1.f64 (cos.f64 (.f64 t (.f64 z 1/3)))) 2)
(pow.f64 (-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1) 2)
(pow.f64 (expm1.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 2)
(pow.f64 (expm1.f64 (cos.f64 (.f64 t (.f64 z 1/3)))) 2)
(pow.f64 (-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1) 2)
(pow.f64 (expm1.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 2)
(pow.f64 (expm1.f64 (cos.f64 (.f64 t (.f64 z 1/3)))) 2)
(pow.f64 (-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1) 2)
(pow.f64 (expm1.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 2)
(pow.f64 (expm1.f64 (cos.f64 (.f64 t (.f64 z 1/3)))) 2)
(pow.f64 (-.f64 (exp.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 1) 2)
(pow.f64 (expm1.f64 (cos.f64 (.f64 1/3 (.f64 t z)))) 2)
(pow.f64 (expm1.f64 (cos.f64 (.f64 t (.f64 z 1/3)))) 2)

eval259.0ms (1.3%)

Compiler: Compiled 13256 to 8920 computations (32.7% saved)

prune210.0ms (1.1%)

Pruning

104 alts after pruning (92 fresh and 12 done)

	Pruned	Kept	Total
New	495	31	526
Fresh	19	61	80
Picked	0	1	1
Done	0	11	11
Total	514	104	618

Error

12.9b

Counts

618 → 104

Alt Table

Click to see full alt table

Status	Error	Program
	19.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z t))) 3) 1/3))))) (/.f64 a (*.f64 b 3)))
✓	16.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
	27.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (sqrt.f64 (pow.f64 (log.f64 (exp.f64 (expm1.f64 (cos.f64 (.f64 z (.f64 1/3 t)))))) 2)))) (/.f64 a (*.f64 b 3)))
	20.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 (pow.f64 (cos.f64 y) 6)))) (/.f64 a (*.f64 b 3)))
	46.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 (pow.f64 (pow.f64 (.f64 t (.f64 z 1/3)) 3/2) 1/3) (pow.f64 (pow.f64 (.f64 t (.f64 z 1/3)) 3/2) 1/3)))) (/.f64 a (.f64 b 3)))
	35.7b	(*.f64 1/3 (/.f64 1 (/.f64 (neg.f64 b) a)))
	49.7b	(-.f64 (.f64 -1/9 (.f64 (.f64 t t) (.f64 (sqrt.f64 x) (.f64 z z)))) (/.f64 a (.f64 b 3)))
	16.5b	(fma.f64 (cbrt.f64 (.f64 x 4)) (.f64 (cbrt.f64 (.f64 2 (sqrt.f64 x))) (cos.f64 y)) (.f64 a (neg.f64 (/.f64 1/3 b))))
	48.9b	(expm1.f64 (log1p.f64 (*.f64 -1/3 (/.f64 a b))))
	23.5b	(-.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) 2) (.f64 x 4))) (/.f64 a (.f64 b 3)))
	19.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (.f64 (cbrt.f64 z) (cbrt.f64 t)) 2) (.f64 (cbrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
	27.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (sqrt.f64 (log.f64 (exp.f64 (pow.f64 (expm1.f64 (cos.f64 (.f64 z (.f64 1/3 t)))) 2)))))) (/.f64 a (*.f64 b 3)))
	31.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 (pow.f64 (pow.f64 (.f64 t (.f64 z 1/3)) 2) 1/3) (cbrt.f64 (.f64 t (.f64 z 1/3)))))) (/.f64 a (.f64 b 3)))
	34.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (expm1.f64 (log1p.f64 (.f64 z (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
	33.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (sqrt.f64 (.f64 1/9 (.f64 t t)))))) (/.f64 a (.f64 b 3)))
	35.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (sqrt.f64 (pow.f64 (expm1.f64 (cos.f64 (.f64 z (cbrt.f64 (pow.f64 (.f64 1/3 t) 3))))) 2)))) (/.f64 a (*.f64 b 3)))
	19.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 t)) 1/3))))) (/.f64 a (*.f64 b 3)))
	27.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 (.f64 z 1/3) t))) (/.f64 a (*.f64 b 3)))
	40.8b	(/.f64 (-.f64 (.f64 8 (pow.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) 3)) (/.f64 (pow.f64 (/.f64 a b) 3) 27)) (fma.f64 (.f64 a (/.f64 1/3 b)) (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b))) (.f64 (*.f64 x 4) (pow.f64 (cos.f64 y) 2))))
✓	33.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (cbrt.f64 (pow.f64 (.f64 z (.f64 1/3 t)) 3)))) (/.f64 a (*.f64 b 3)))
✓	35.7b	(*.f64 -1/3 (/.f64 a b))
	36.1b	(/.f64 (/.f64 (*.f64 -1/3 a) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))
	20.1b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x)))) 3) (/.f64 a (.f64 b 3)))
	33.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (sqrt.f64 (.f64 1/3 t)) 2)))) (/.f64 a (*.f64 b 3)))
	26.2b	(-.f64 (expm1.f64 (log1p.f64 (.f64 (cos.f64 (fma.f64 t (.f64 z -1/3) y)) (.f64 2 (sqrt.f64 x))))) (/.f64 a (.f64 b 3)))
	42.2b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (pow.f64 (pow.f64 (.f64 t -1/3) 3) 1/3) y))) (/.f64 (*.f64 a -1/3) b))
	19.4b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 (.f64 -1/3 (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t)) y))) (/.f64 (.f64 a -1/3) b))
	38.0b	(-.f64 (.f64 (sqrt.f64 x) (fma.f64 z (.f64 (.f64 t t) (.f64 -1/9 z)) 2)) (/.f64 a (*.f64 b 3)))
	27.5b	(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 t (sin.f64 y)) (.f64 z 2/3)) (.f64 (cos.f64 y) (+.f64 (.f64 -1/9 (.f64 t (.f64 z (.f64 t z)))) 2)))) (/.f64 a (.f64 b 3)))
	27.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (cbrt.f64 (.f64 1/3 t)) 3)))) (/.f64 a (*.f64 b 3)))
	27.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (expm1.f64 (log1p.f64 (.f64 (cbrt.f64 (.f64 z t)) 1/3))))))) (/.f64 a (*.f64 b 3)))
	37.3b	(-.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))) 3) 1/3) (/.f64 a (.f64 b 3)))
	40.7b	(-.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (/.f64 a (*.f64 b 3)))
	16.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (-.f64 (+.f64 1 (exp.f64 (cos.f64 y))) 1))) (/.f64 a (*.f64 b 3)))
✓	19.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (cbrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
	38.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (cbrt.f64 (pow.f64 (.f64 z (pow.f64 (pow.f64 (.f64 1/3 t) 3) 1/3)) 3)))) (/.f64 a (*.f64 b 3)))
	35.7b	(pow.f64 (*.f64 (/.f64 b a) -3) -1)
	40.8b	(/.f64 1 (/.f64 (fma.f64 (.f64 a (/.f64 1/3 b)) (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b))) (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2))) (-.f64 (.f64 8 (pow.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) 3)) (/.f64 (pow.f64 (/.f64 a b) 3) 27))))
	19.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (-.f64 (.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (cos.f64 y)) (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (sin.f64 y)))))) (/.f64 a (*.f64 b 3)))
	36.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (pow.f64 (.f64 1/3 t) 3) 1/3)))) (/.f64 a (*.f64 b 3)))
	16.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1 b) (/.f64 a 3)))
	19.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3))))) (cbrt.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))))) (cbrt.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3))))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))))) (/.f64 a (.f64 b 3)))
	19.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (cos.f64 (+.f64 (.f64 (.f64 z t) -1/3) (.f64 z (.f64 t 1/3))))) (.f64 (sin.f64 (fma.f64 (.f64 z t) -1/3 y)) (sin.f64 (+.f64 (.f64 (.f64 z t) -1/3) (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
	27.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 t (.f64 z 1/3)))) 3)) (/.f64 a (*.f64 b 3)))
	19.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2))) (.f64 (cbrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
	19.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))
	41.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (pow.f64 (.f64 z t) 1/3) 1/3))))) (/.f64 a (*.f64 b 3)))
	23.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (sqrt.f64 (pow.f64 (expm1.f64 (fma.f64 -1/18 (pow.f64 (.f64 t z) 2) 1)) 2)))) (/.f64 a (.f64 b 3)))
	18.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 t (.f64 z -1/3) y)) (cos.f64 (fma.f64 (.f64 z -1/3) t (.f64 z (.f64 1/3 t))))) (.f64 (sin.f64 (fma.f64 t (.f64 z -1/3) y)) (sin.f64 (fma.f64 (.f64 z -1/3) t (.f64 z (.f64 1/3 t))))))) (/.f64 a (*.f64 b 3)))
	35.7b	(/.f64 (*.f64 -1/3 a) b)
	61.6b	(log.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))))
	27.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 t (.f64 z 1/3))) 2) (cbrt.f64 (.f64 t (.f64 z 1/3)))))) (/.f64 a (.f64 b 3)))
	29.6b	(-.f64 (exp.f64 (log.f64 (.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x))))) (/.f64 a (*.f64 b 3)))
✓	16.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 y) 3))) (/.f64 a (*.f64 b 3)))
	27.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 1/3 t))) 3))) (/.f64 a (*.f64 b 3)))
	35.3b	(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) t))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) t)))) y))) (/.f64 (.f64 a -1/3) b))
	29.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (expm1.f64 (log1p.f64 (*.f64 a (/.f64 1/3 b)))))
	35.7b	(/.f64 1 (/.f64 b (*.f64 -1/3 a)))
	16.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 y)) 3)) (/.f64 a (*.f64 b 3)))
	41.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (pow.f64 (pow.f64 (.f64 z (.f64 1/3 t)) 3) 1/3))) (/.f64 a (*.f64 b 3)))
	23.8b	(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
✓	35.7b	(/.f64 -1/3 (/.f64 b a))
	27.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 (.f64 (.f64 z 1/3) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t)))) (/.f64 a (.f64 b 3)))
	28.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (expm1.f64 (cos.f64 (.f64 z (expm1.f64 (log1p.f64 (.f64 1/3 t)))))))) (/.f64 a (*.f64 b 3)))
	19.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) 3))))) (/.f64 a (.f64 b 3)))
✓	27.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (expm1.f64 (cos.f64 (.f64 z (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
	54.6b	(cbrt.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3))
	25.0b	(-.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 2 (sqrt.f64 x)) 3) (pow.f64 (cos.f64 y) 3))) (/.f64 a (*.f64 b 3)))
	35.0b	(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 a (*.f64 b 3)))
	27.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (expm1.f64 (log1p.f64 (cos.f64 (.f64 z (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
	45.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (.f64 t (.f64 z (.f64 t (.f64 z -1/18))))) (/.f64 a (*.f64 b 3)))
	51.0b	(.f64 (.f64 (/.f64 -1/3 b) (sqrt.f64 a)) (sqrt.f64 a))
	38.8b	(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 a b))) 1)
	34.5b	(pow.f64 (sqrt.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))) 2)
	33.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (exp.f64 (log.f64 (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
	36.1b	(.f64 (.f64 (/.f64 -1/3 b) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
	16.9b	(pow.f64 (cbrt.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))) 3)
	31.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 (.f64 (.f64 1/3 t) (cbrt.f64 (.f64 z z))) (cbrt.f64 z)))) (/.f64 a (*.f64 b 3)))
	49.2b	(pow.f64 (pow.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 3) 1/3)
	25.0b	(-.f64 (cbrt.f64 (.f64 8 (pow.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) 3))) (/.f64 a (*.f64 b 3)))
	19.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
	20.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 t (.f64 z -1/3) y)))) (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 t (.f64 z -1/3) y)))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 t (.f64 z -1/3) y))))))) (/.f64 a (*.f64 b 3)))
	49.7b	(pow.f64 (sqrt.f64 (*.f64 -1/3 (/.f64 a b))) 2)
	16.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) 3))) (/.f64 a (*.f64 b 3)))
	35.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (.f64 (cbrt.f64 (fma.f64 (.f64 z t) -1/3 y)) (cbrt.f64 (pow.f64 (fma.f64 (.f64 z t) -1/3 y) 2))))))) (/.f64 a (.f64 b 3)))
	27.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (sqrt.f64 (pow.f64 (expm1.f64 (cos.f64 (.f64 z (pow.f64 (cbrt.f64 (.f64 1/3 t)) 3)))) 2)))) (/.f64 a (*.f64 b 3)))
	27.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (.f64 z (.f64 1/3 t))) 2))) (/.f64 a (*.f64 b 3)))
✓	27.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 1/3 t)))) (/.f64 a (*.f64 b 3)))
	16.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (.f64 (neg.f64 a) (/.f64 1 (.f64 b -3))))
✓	27.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (sqrt.f64 (pow.f64 (expm1.f64 (cos.f64 (.f64 z (.f64 1/3 t)))) 2)))) (/.f64 a (*.f64 b 3)))
	36.0b	(pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 3)
✓	19.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 z 3) t)))) (/.f64 a (.f64 b 3)))
	20.1b	(-.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x 4))) (/.f64 a (*.f64 b 3)))
✓	16.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 y)))) (/.f64 a (*.f64 b 3)))
	28.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (expm1.f64 (log1p.f64 (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
	41.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (exp.f64 (.f64 (log.f64 (.f64 z t)) 1/3)) 1/3))))) (/.f64 a (.f64 b 3)))
	59.1b	(pow.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3) 1/3)
	35.7b	(*.f64 (/.f64 -1/3 b) a)
	27.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (+.f64 1 (cos.f64 (.f64 t (.f64 z 1/3)))) 1)) (/.f64 a (*.f64 b 3)))
	33.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 (.f64 z (cbrt.f64 (.f64 1/9 (.f64 t t)))) (cbrt.f64 (.f64 1/3 t))))) (/.f64 a (.f64 b 3)))
✓	22.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))))) (/.f64 a (.f64 b 3)))
	16.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (-.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) 1))) (/.f64 a (*.f64 b 3)))
	35.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 z t) -1/3 y)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 z t) -1/3 y)))) (sin.f64 1)))) (/.f64 a (*.f64 b 3)))
	27.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 (.f64 z t) 1/3))) (/.f64 a (*.f64 b 3)))

Compiler

Compiled 2779 to 2160 computations (22.3% saved)

regimes4.4s (22.2%)

Counts

168 → 3

Calls

Call 1

Inputs
(*.f64 (/.f64 -1/3 b) a)
(/.f64 (*.f64 -1/3 a) b)
(/.f64 -1/3 (/.f64 b a))
(*.f64 -1/3 (/.f64 a b))
(/.f64 1 (/.f64 b (*.f64 -1/3 a)))
(*.f64 1/3 (/.f64 1 (/.f64 (neg.f64 b) a)))
(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 a b))) 1)
(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 a b))) 1)
(pow.f64 (*.f64 (/.f64 b a) -3) -1)
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 -1/9 (.f64 (.f64 t t) (.f64 (sqrt.f64 x) (.f64 z z)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (.f64 t (.f64 z (.f64 t (.f64 z -1/18))))) (/.f64 a (*.f64 b 3)))
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(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 z t) -1/3 y) 3) 1/3))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (expm1.f64 (log1p.f64 (.f64 (cbrt.f64 (.f64 z t)) 1/3))))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2))) (.f64 (cbrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z t))) 3) 1/3))))) (/.f64 a (*.f64 b 3)))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (/.f64 1/3 b)))) 2) (cbrt.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (-.f64 (.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (cos.f64 y)) (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (sin.f64 y)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (cos.f64 (+.f64 (.f64 (.f64 z t) -1/3) (.f64 z (.f64 t 1/3))))) (.f64 (sin.f64 (fma.f64 (.f64 z t) -1/3 y)) (sin.f64 (+.f64 (.f64 (.f64 z t) -1/3) (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (sqrt.f64 (pow.f64 (log.f64 (exp.f64 (expm1.f64 (cos.f64 (.f64 z (.f64 1/3 t)))))) 2)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (sqrt.f64 (log.f64 (exp.f64 (pow.f64 (expm1.f64 (cos.f64 (.f64 z (.f64 1/3 t)))) 2)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (sqrt.f64 (pow.f64 (expm1.f64 (cos.f64 (.f64 z (cbrt.f64 (pow.f64 (.f64 1/3 t) 3))))) 2)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (sqrt.f64 (pow.f64 (expm1.f64 (cos.f64 (.f64 z (pow.f64 (cbrt.f64 (.f64 1/3 t)) 3)))) 2)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (.f64 (cbrt.f64 (fma.f64 (.f64 z t) -1/3 y)) (cbrt.f64 (pow.f64 (fma.f64 (.f64 z t) -1/3 y) 2))))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 t (.f64 z -1/3) y)) (cos.f64 (fma.f64 (.f64 z -1/3) t (.f64 z (.f64 1/3 t))))) (.f64 (sin.f64 (fma.f64 t (.f64 z -1/3) y)) (sin.f64 (fma.f64 (.f64 z -1/3) t (.f64 z (.f64 1/3 t))))))) (/.f64 a (*.f64 b 3)))
(/.f64 (-.f64 (.f64 8 (pow.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) 3)) (/.f64 (pow.f64 (/.f64 a b) 3) 27)) (fma.f64 (.f64 a (/.f64 1/3 b)) (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b))) (.f64 (*.f64 x 4) (pow.f64 (cos.f64 y) 2))))
(/.f64 1 (/.f64 (fma.f64 (.f64 a (/.f64 1/3 b)) (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 a (/.f64 1/3 b))) (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2))) (-.f64 (.f64 8 (pow.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) 3)) (/.f64 (pow.f64 (/.f64 a b) 3) 27))))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 z t) -1/3 y)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 z t) -1/3 y)))) (sin.f64 1)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (/.f64 (-.f64 (.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))) (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3))))) (.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))))) (cos.f64 (fma.f64 z (.f64 t 1/3) y)))) (/.f64 a (.f64 b 3)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) t))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) t)))) y))) (/.f64 (.f64 a -1/3) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))))) (/.f64 (.f64 a -1/3) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (+.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 (.f64 a -1/3) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y))))))) (/.f64 (.f64 a -1/3) b))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3))))) (cbrt.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))))) (cbrt.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3))))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3))))) (cbrt.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3)))))) (cbrt.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (.f64 t 1/3))))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (.f64 t 1/3)))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 t (.f64 z -1/3) y)))) (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 t (.f64 z -1/3) y)))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 t (.f64 z -1/3) y))))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (cos.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 z (.f64 t 1/3)))) (cbrt.f64 (pow.f64 (.f64 z (.f64 t 1/3)) 2)) (.f64 z (.f64 t 1/3))))) (.f64 (sin.f64 (fma.f64 (.f64 z t) -1/3 y)) (sin.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 z (.f64 t 1/3)))) (cbrt.f64 (pow.f64 (.f64 z (.f64 t 1/3)) 2)) (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))

Outputs

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

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

(-.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x 4))) (/.f64 a (*.f64 b 3)))

Calls

20 calls:

444.0ms	z
380.0ms	t
319.0ms	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))
310.0ms	(-.f64 y (/.f64 (*.f64 z t) 3))
284.0ms	(-.f64 y (/.f64 (*.f64 z t) 3))

Results

Error	Segments	Branch
16.2b	1	`x`
16.2b	1	`y`
15.0b	3	`z`
14.8b	3	`t`
16.2b	1	`a`
16.2b	1	`b`
15.0b	2	`(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))`
15.0b	2	`(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))`
15.0b	2	`(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))`
15.0b	2	`(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))`
16.2b	1	`(*.f64 2 (sqrt.f64 x))`
16.2b	1	`(sqrt.f64 x)`
15.0b	2	`(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))`
15.0b	2	`(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))`
14.9b	3	`(-.f64 y (/.f64 (*.f64 z t) 3))`
14.9b	3	`(-.f64 y (/.f64 (*.f64 z t) 3))`
16.2b	1	`(/.f64 (*.f64 z t) 3)`
16.2b	1	`(*.f64 z t)`
16.2b	1	`(/.f64 a (*.f64 b 3))`
16.2b	1	`(*.f64 b 3)`

Compiler

Compiled 3830 to 2440 computations (36.3% saved)

bsearch148.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
87.0ms	2.0893490202273234e+165	6.999076736854916e+169
59.0ms	2.5078771355750503e-196	3.1399463580354317e-196

Compiler

Compiled 34 to 27 computations (20.6% saved)

regimes2.9s (14.9%)

Counts

155 → 1

Calls

Call 1

Inputs
(*.f64 (/.f64 -1/3 b) a)
(/.f64 (*.f64 -1/3 a) b)
(/.f64 -1/3 (/.f64 b a))
(*.f64 -1/3 (/.f64 a b))
(/.f64 1 (/.f64 b (*.f64 -1/3 a)))
(*.f64 1/3 (/.f64 1 (/.f64 (neg.f64 b) a)))
(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 a b))) 1)
(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 a b))) 1)
(pow.f64 (*.f64 (/.f64 b a) -3) -1)
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 -1/9 (.f64 (.f64 t t) (.f64 (sqrt.f64 x) (.f64 z z)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (.f64 t (.f64 z (.f64 t (.f64 z -1/18))))) (/.f64 a (*.f64 b 3)))
(expm1.f64 (log1p.f64 (*.f64 -1/3 (/.f64 a b))))
(expm1.f64 (log1p.f64 (*.f64 -1/3 (/.f64 a b))))
(cbrt.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3))
(pow.f64 (sqrt.f64 (*.f64 -1/3 (/.f64 a b))) 2)
(pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 3)
(.f64 (.f64 (/.f64 -1/3 b) (sqrt.f64 a)) (sqrt.f64 a))
(/.f64 (/.f64 (*.f64 -1/3 a) (sqrt.f64 b)) (sqrt.f64 b))
(pow.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3) 1/3)
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1/3 b) a))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1 b) (/.f64 a 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (.f64 (neg.f64 a) (/.f64 1 (.f64 b -3))))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 (.f64 z 1/3) t))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 (.f64 z t) 1/3))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 t (.f64 (sqrt.f64 x) (.f64 (.f64 2/3 (sin.f64 y)) z))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 2/3 (.f64 (.f64 t (.f64 z (sin.f64 y))) (sqrt.f64 x))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 t (.f64 z 1/3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (.f64 1/3 t)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (neg.f64 (.f64 1/3 (.f64 t z))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (fma.f64 z (.f64 (.f64 t t) (.f64 -1/9 z)) 2)) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 a b) 1/3))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 1/3 b) a))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 z 3) t)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (+.f64 1 (cos.f64 (.f64 t (.f64 z 1/3)))) 1)) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 z (/.f64 1 (/.f64 3 t)))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 1 b) (/.f64 a 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (neg.f64 a) (/.f64 1 (*.f64 b -3))))
(.f64 (.f64 (/.f64 -1/3 b) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(/.f64 (/.f64 (*.f64 -1/3 a) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 y)) (/.f64 (.f64 a -1/3) b))
(-.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x 4))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (pow.f64 (*.f64 3 (/.f64 b a)) -1))
(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2))) (/.f64 a (*.f64 b 3)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (.f64 t (.f64 z -1/3)))) (/.f64 (.f64 a -1/3) b))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 -1/18 (pow.f64 (.f64 t z) 2) 1)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (sqrt.f64 (.f64 1/9 (.f64 t t)))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (pow.f64 (.f64 3 (/.f64 b a)) -1))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (cos.f64 y) (.f64 1/3 (.f64 t (.f64 z (sin.f64 y)))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 (.f64 t (sin.f64 y)) (.f64 z 2/3)) (.f64 (cos.f64 y) (+.f64 (.f64 -1/9 (.f64 t (.f64 z (.f64 t z)))) 2)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (+.f64 (.f64 y (.f64 2 (sin.f64 (.f64 z (.f64 1/3 t))))) (.f64 (cos.f64 (.f64 z (.f64 1/3 t))) (-.f64 2 (.f64 y y))))) (/.f64 a (.f64 b 3)))
(-.f64 (exp.f64 (log.f64 (.f64 (cos.f64 y) (.f64 2 (sqrt.f64 x))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (expm1.f64 (log1p.f64 (*.f64 a (/.f64 1/3 b)))))
(-.f64 (exp.f64 (log.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 y)))) (/.f64 a (*.f64 b 3)))
(log.f64 (exp.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 y)) 3)) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 y) 3))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 y)) 3)) (/.f64 a (*.f64 b 3)))
(pow.f64 (sqrt.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))) 2)
(pow.f64 (cbrt.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))) 3)
(-.f64 (cbrt.f64 (.f64 8 (pow.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) 3))) (/.f64 a (*.f64 b 3)))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) 1) (/.f64 a (*.f64 b 3)))
(pow.f64 (pow.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 3) 1/3)
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (/.f64 (*.f64 a -1/3) b))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (-.f64 (+.f64 1 (exp.f64 (cos.f64 y))) 1))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (expm1.f64 (log1p.f64 (.f64 z (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (expm1.f64 (cos.f64 (.f64 z (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (expm1.f64 (log1p.f64 (cos.f64 (.f64 z (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (exp.f64 (log.f64 (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (expm1.f64 (log1p.f64 (.f64 1/3 t)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 t (.f64 z 1/3)))) 3)) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (-.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) 1))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (cbrt.f64 (pow.f64 (.f64 z (.f64 1/3 t)) 3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (sqrt.f64 (.f64 1/3 t)) 2)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (cbrt.f64 (.f64 1/3 t)) 3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 1/3 t))) 3))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (.f64 z (.f64 1/3 t))) 2))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 z (.f64 1/3 t)))) 3)) (/.f64 a (*.f64 b 3)))
(-.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) 2) (.f64 x 4))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 z (pow.f64 (pow.f64 (.f64 1/3 t) 3) 1/3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (pow.f64 (pow.f64 (.f64 z (.f64 1/3 t)) 3) 1/3))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (expm1.f64 (log1p.f64 (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (expm1.f64 (log1p.f64 (.f64 a (/.f64 1/3 b)))))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (pow.f64 (cbrt.f64 (.f64 a (/.f64 1/3 b))) 3))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (cbrt.f64 (.f64 z (.f64 t 1/3))) 3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 (.f64 (.f64 1/3 t) (cbrt.f64 (.f64 z z))) (cbrt.f64 z)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (.f64 (pow.f64 (.f64 z t) 3) 1/27) 1/3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 (.f64 z (cbrt.f64 (.f64 1/9 (.f64 t t)))) (cbrt.f64 (.f64 1/3 t))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (sqrt.f64 (.f64 z t)) (.f64 (sqrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 (pow.f64 (cos.f64 y) 6)))) (/.f64 a (*.f64 b 3)))
(-.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 2 (sqrt.f64 x)) 3) (pow.f64 (cos.f64 y) 3))) (/.f64 a (*.f64 b 3)))
(fma.f64 (cbrt.f64 (.f64 x 4)) (.f64 (cbrt.f64 (.f64 2 (sqrt.f64 x))) (cos.f64 y)) (.f64 a (neg.f64 (/.f64 1/3 b))))
(-.f64 (expm1.f64 (log1p.f64 (.f64 (cos.f64 (fma.f64 t (.f64 z -1/3) y)) (.f64 2 (sqrt.f64 x))))) (/.f64 a (.f64 b 3)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (sqrt.f64 (.f64 (.f64 t t) 1/9)) y))) (/.f64 (.f64 a -1/3) b))
(-.f64 (exp.f64 (log.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (expm1.f64 (log1p.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) 2))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y))) 3)) (/.f64 a (.f64 b 3)))
(-.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x)))) 3) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) 3))) (/.f64 a (.f64 b 3)))
(-.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))) 3)) (/.f64 a (.f64 b 3)))
(-.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))) 3) 1/3) (/.f64 a (.f64 b 3)))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (.f64 2 (sqrt.f64 x))))) 1) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 (.f64 (.f64 z 1/3) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 t (.f64 z 1/3))) 2) (cbrt.f64 (.f64 t (.f64 z 1/3)))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (cbrt.f64 (pow.f64 (.f64 z t) 2)) (.f64 (cbrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (cbrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 (pow.f64 (pow.f64 (.f64 t (.f64 z 1/3)) 2) 1/3) (cbrt.f64 (.f64 t (.f64 z 1/3)))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (pow.f64 (.f64 z t) 1/3) 2) (.f64 (cbrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (pow.f64 (.f64 z t) 1/3) 1/3))))) (/.f64 a (*.f64 b 3)))
(fma.f64 (sqrt.f64 x) (.f64 2 (+.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 a -1/3) b))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
(/.f64 (-.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2)) (pow.f64 (.f64 a (neg.f64 (/.f64 1/3 b))) 2)) (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (neg.f64 (/.f64 1/3 b)))))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) 3))) (/.f64 a (*.f64 b 3)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (expm1.f64 (log1p.f64 (.f64 t -1/3))) y))) (/.f64 (*.f64 a -1/3) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (log.f64 (exp.f64 (*.f64 -1/3 (/.f64 a b)))))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 t -1/3) y))) (/.f64 (exp.f64 (log.f64 (*.f64 -1/3 a))) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (pow.f64 (cbrt.f64 (.f64 t -1/3)) 3) y))) (/.f64 (*.f64 a -1/3) b))
(fma.f64 (sqrt.f64 x) (.f64 2 (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 z (.f64 t -1/3) y)) 2))) (/.f64 (*.f64 a -1/3) b))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (expm1.f64 (cos.f64 (.f64 z (expm1.f64 (log1p.f64 (.f64 1/3 t)))))))) (/.f64 a (*.f64 b 3)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (pow.f64 (pow.f64 (.f64 t -1/3) 3) 1/3) y))) (/.f64 (*.f64 a -1/3) b))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (sqrt.f64 (pow.f64 (expm1.f64 (cos.f64 (.f64 z (.f64 1/3 t)))) 2)))) (/.f64 a (*.f64 b 3)))
(-.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 2 (sqrt.f64 x)) 3) (pow.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) 3))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (cbrt.f64 (pow.f64 (.f64 z (pow.f64 (pow.f64 (.f64 1/3 t) 3) 1/3)) 3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (.f64 (cbrt.f64 z) (cbrt.f64 t)) 2) (.f64 (cbrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 t)) 1/3))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (exp.f64 (.f64 (log.f64 (.f64 z t)) 1/3)) 1/3))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3)) (neg.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3)))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 (pow.f64 (pow.f64 (.f64 t (.f64 z 1/3)) 3/2) 1/3) (pow.f64 (pow.f64 (.f64 t (.f64 z 1/3)) 3/2) 1/3)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (expm1.f64 (log1p.f64 (fma.f64 (.f64 z t) -1/3 y))))))) (/.f64 a (.f64 b 3)))
(fma.f64 (sqrt.f64 x) (.f64 2 (cos.f64 (fma.f64 z (.f64 (.f64 -1/3 (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t)) y))) (/.f64 (.f64 a -1/3) b))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) 3))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (sqrt.f64 (pow.f64 (expm1.f64 (fma.f64 -1/18 (pow.f64 (.f64 t z) 2) 1)) 2)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 z t) -1/3 y) 3) 1/3))))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (expm1.f64 (log1p.f64 (.f64 (cbrt.f64 (.f64 z t)) 1/3))))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2))) (.f64 (cbrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z t))) 3) 1/3))))) (/.f64 a (*.f64 b 3)))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (.f64 a (/.f64 1/3 b)))) 2) (cbrt.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (-.f64 (.f64 (cos.f64 (.f64 t (.f64 z -1/3))) (cos.f64 y)) (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (sin.f64 y)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (.f64 z t) -1/3 y)) (cos.f64 (+.f64 (.f64 (.f64 z t) -1/3) (.f64 z (.f64 t 1/3))))) (.f64 (sin.f64 (fma.f64 (.f64 z t) -1/3 y)) (sin.f64 (+.f64 (.f64 (.f64 z t) -1/3) (.f64 z (.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (sqrt.f64 (pow.f64 (log.f64 (exp.f64 (expm1.f64 (cos.f64 (.f64 z (.f64 1/3 t)))))) 2)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (sqrt.f64 (log.f64 (exp.f64 (pow.f64 (expm1.f64 (cos.f64 (.f64 z (.f64 1/3 t)))) 2)))))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (sqrt.f64 (pow.f64 (expm1.f64 (cos.f64 (.f64 z (cbrt.f64 (pow.f64 (.f64 1/3 t) 3))))) 2)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log1p.f64 (sqrt.f64 (pow.f64 (expm1.f64 (cos.f64 (.f64 z (pow.f64 (cbrt.f64 (.f64 1/3 t)) 3)))) 2)))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (.f64 (cbrt.f64 (fma.f64 (.f64 z t) -1/3 y)) (cbrt.f64 (pow.f64 (fma.f64 (.f64 z t) -1/3 y) 2))))))) (/.f64 a (.f64 b 3)))

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

Calls

20 calls:

295.0ms	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))
229.0ms	z
213.0ms	a
186.0ms	b
184.0ms	x

Results

Error	Segments	Branch
16.2b	1	`x`
16.2b	1	`y`
16.2b	1	`z`
16.2b	1	`t`
16.2b	1	`a`
16.2b	1	`b`
16.2b	1	`(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))`
16.2b	1	`(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))`
16.2b	1	`(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))`
16.2b	1	`(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))`
16.2b	1	`(*.f64 2 (sqrt.f64 x))`
16.2b	1	`(sqrt.f64 x)`
16.2b	1	`(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))`
16.2b	1	`(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))`
16.2b	1	`(-.f64 y (/.f64 (*.f64 z t) 3))`
16.2b	1	`(-.f64 y (/.f64 (*.f64 z t) 3))`
16.2b	1	`(/.f64 (*.f64 z t) 3)`
16.2b	1	`(*.f64 z t)`
16.2b	1	`(/.f64 a (*.f64 b 3))`
16.2b	1	`(*.f64 b 3)`

Compiler

Compiled 3252 to 2070 computations (36.3% saved)

regimes229.0ms (1.2%)

Counts

24 → 1

Calls

Call 1

Inputs
(*.f64 (/.f64 -1/3 b) a)
(/.f64 (*.f64 -1/3 a) b)
(/.f64 -1/3 (/.f64 b a))
(*.f64 -1/3 (/.f64 a b))
(/.f64 1 (/.f64 b (*.f64 -1/3 a)))
(*.f64 1/3 (/.f64 1 (/.f64 (neg.f64 b) a)))
(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 a b))) 1)
(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 a b))) 1)
(pow.f64 (*.f64 (/.f64 b a) -3) -1)
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 -1/9 (.f64 (.f64 t t) (.f64 (sqrt.f64 x) (.f64 z z)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (.f64 t (.f64 z (.f64 t (.f64 z -1/18))))) (/.f64 a (*.f64 b 3)))
(expm1.f64 (log1p.f64 (*.f64 -1/3 (/.f64 a b))))
(expm1.f64 (log1p.f64 (*.f64 -1/3 (/.f64 a b))))
(cbrt.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3))
(pow.f64 (sqrt.f64 (*.f64 -1/3 (/.f64 a b))) 2)
(pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 3)
(.f64 (.f64 (/.f64 -1/3 b) (sqrt.f64 a)) (sqrt.f64 a))
(/.f64 (/.f64 (*.f64 -1/3 a) (sqrt.f64 b)) (sqrt.f64 b))
(pow.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3) 1/3)
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1/3 b) a))

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

Calls

12 calls:

57.0ms	b
20.0ms	a
16.0ms	x
15.0ms	(sqrt.f64 x)
15.0ms	(*.f64 b 3)

Results

Error	Segments	Branch
16.3b	1	`x`
16.3b	1	`y`
16.3b	1	`z`
16.3b	1	`t`
16.3b	1	`a`
16.3b	1	`b`
16.3b	1	`(*.f64 2 (sqrt.f64 x))`
16.3b	1	`(sqrt.f64 x)`
16.3b	1	`(/.f64 a (*.f64 b 3))`
16.3b	1	`(/.f64 a (*.f64 b 3))`
16.3b	1	`(*.f64 b 3)`
16.3b	1	`(*.f64 b 3)`

Compiler

Compiled 326 to 227 computations (30.4% saved)

regimes449.0ms (2.3%)

Counts

23 → 1

Calls

Call 1

Inputs
(*.f64 (/.f64 -1/3 b) a)
(/.f64 (*.f64 -1/3 a) b)
(/.f64 -1/3 (/.f64 b a))
(*.f64 -1/3 (/.f64 a b))
(/.f64 1 (/.f64 b (*.f64 -1/3 a)))
(*.f64 1/3 (/.f64 1 (/.f64 (neg.f64 b) a)))
(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 a b))) 1)
(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 a b))) 1)
(pow.f64 (*.f64 (/.f64 b a) -3) -1)
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 -1/9 (.f64 (.f64 t t) (.f64 (sqrt.f64 x) (.f64 z z)))) (/.f64 a (.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (.f64 t (.f64 z (.f64 t (.f64 z -1/18))))) (/.f64 a (*.f64 b 3)))
(expm1.f64 (log1p.f64 (*.f64 -1/3 (/.f64 a b))))
(expm1.f64 (log1p.f64 (*.f64 -1/3 (/.f64 a b))))
(cbrt.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3))
(pow.f64 (sqrt.f64 (*.f64 -1/3 (/.f64 a b))) 2)
(pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 3)
(.f64 (.f64 (/.f64 -1/3 b) (sqrt.f64 a)) (sqrt.f64 a))
(/.f64 (/.f64 (*.f64 -1/3 a) (sqrt.f64 b)) (sqrt.f64 b))
(pow.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3) 1/3)

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

Calls

10 calls:

186.0ms	t
96.0ms	b
50.0ms	(/.f64 a (*.f64 b 3))
20.0ms	y
17.0ms	(sqrt.f64 x)

Results

Error	Segments	Branch
23.8b	1	`x`
23.8b	1	`y`
23.8b	1	`z`
23.8b	1	`t`
23.8b	1	`a`
23.8b	1	`b`
23.8b	1	`(*.f64 2 (sqrt.f64 x))`
23.8b	1	`(sqrt.f64 x)`
23.8b	1	`(/.f64 a (*.f64 b 3))`
23.8b	1	`(*.f64 b 3)`

Compiler

Compiled 293 to 202 computations (31.1% saved)

regimes50.0ms (0.3%)

Accuracy

Total -3.4b remaining (-9.6%)

Threshold costs -3.4b (-9.6%)

Counts

9 → 1

Calls

Call 1

Inputs
(*.f64 (/.f64 -1/3 b) a)
(/.f64 (*.f64 -1/3 a) b)
(/.f64 -1/3 (/.f64 b a))
(*.f64 -1/3 (/.f64 a b))
(/.f64 1 (/.f64 b (*.f64 -1/3 a)))
(*.f64 1/3 (/.f64 1 (/.f64 (neg.f64 b) a)))
(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 a b))) 1)
(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 a b))) 1)
(pow.f64 (*.f64 (/.f64 b a) -3) -1)

Outputs
(/.f64 (*.f64 -1/3 a) b)

Calls

6 calls:

13.0ms	t
8.0ms	y
7.0ms	b
7.0ms	a
6.0ms	z

Results

Error	Segments	Branch
35.7b	1	`x`
35.7b	1	`y`
35.7b	1	`z`
35.7b	1	`t`
35.7b	1	`a`
35.7b	1	`b`

Compiler

Compiled 108 to 81 computations (25% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

21×	`*-commutative_binary64`
13×	`+-commutative_binary64`
13×	`sub-neg_binary64`
7×	`neg-sub0_binary64`
7×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	199
1	82	199
2	111	199
3	125	199
4	134	199
5	136	199

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 t 21106839292016992/84162174424773976115855838126082058648805436845170781751972494449099714468753293153818664580441415219631727501698851483408310916002940861810045036330430093599283578738055113571066620126149163476340692027772502016) (-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (.f64 b 3))) (if (<=.f64 t 2089349020227323372579762455905611718924740763986253074299823122683665477369082191432743878297526742515909896724216441880102936192561008125989323288636288734167302144) (-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 t (.f64 z -1/3) y)) (cos.f64 (fma.f64 (.f64 z -1/3) t (.f64 z (.f64 1/3 t))))) (.f64 (sin.f64 (fma.f64 t (.f64 z -1/3) y)) (sin.f64 (fma.f64 (.f64 z -1/3) t (.f64 z (.f64 1/3 t))))))) (/.f64 a (.f64 b 3))) (-.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x 4))) (/.f64 a (*.f64 b 3)))))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1/3 b) a))
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(/.f64 (*.f64 -1/3 a) b)
(*.f64 (/.f64 -1/3 b) a)

Outputs
(if (<=.f64 t 21106839292016992/84162174424773976115855838126082058648805436845170781751972494449099714468753293153818664580441415219631727501698851483408310916002940861810045036330430093599283578738055113571066620126149163476340692027772502016) (-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (.f64 b 3))) (if (<=.f64 t 2089349020227323372579762455905611718924740763986253074299823122683665477369082191432743878297526742515909896724216441880102936192561008125989323288636288734167302144) (-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 t (.f64 z -1/3) y)) (cos.f64 (fma.f64 (.f64 z -1/3) t (.f64 z (.f64 1/3 t))))) (.f64 (sin.f64 (fma.f64 t (.f64 z -1/3) y)) (sin.f64 (fma.f64 (.f64 z -1/3) t (.f64 z (.f64 1/3 t))))))) (/.f64 a (.f64 b 3))) (-.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x 4))) (/.f64 a (*.f64 b 3)))))
(if (<=.f64 t 659588727875531/2630067950774186753620494941440064332775169901411586929749140451534366077148540411056833268138794225613491484428089108856509716125091901931563907385325940424977611835564222299095831878942161358635646625867890688) (-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (.f64 b 3))) (if (<=.f64 t 2089349020227323372579762455905611718924740763986253074299823122683665477369082191432743878297526742515909896724216441880102936192561008125989323288636288734167302144) (-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 t (.f64 z -1/3) y)) (cos.f64 (fma.f64 (.f64 z -1/3) t (.f64 z (.f64 t 1/3))))) (.f64 (sin.f64 (fma.f64 t (.f64 z -1/3) y)) (sin.f64 (fma.f64 (.f64 z -1/3) t (.f64 z (.f64 t 1/3))))))) (/.f64 a (.f64 b 3))) (-.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 x 4))) (/.f64 a (*.f64 b 3)))))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1/3 b) a))
(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 a (/.f64 1/3 b)))
(+.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 a (/.f64 -1/3 b)))
(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
(/.f64 (*.f64 -1/3 a) b)
(/.f64 (*.f64 a -1/3) b)
(*.f64 (/.f64 -1/3 b) a)
(*.f64 a (/.f64 -1/3 b))

Compiler

Compiled 168 to 124 computations (26.2% saved)

soundness0.0ms (0%)

end117.0ms (0.6%)

Compiler: Compiled 322 to 215 computations (33.2% saved)