Details

Time bar (total: 11.2s)

analyze1.7s (14.9%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%99.7%0.3%5
0%99.7%0.3%6
0%99.7%0.3%7
0%74.8%25.2%8
0%74.8%25.2%9
0%74.8%25.2%10
0%74.8%25.2%11
0%74.8%25.2%12
6.2%68.5%25.2%13
9.3%53%37.7%14
Compiler

Compiled 26 to 20 computations (23.1% saved)

sample4.0s (35.8%)

Results
1.2s1647×body1024valid
907.0ms4822×body128valid
770.0ms715×body2048valid
643.0ms3574×body128invalid
376.0ms742×body512valid
107.0ms325×body256valid
11.0msbody4096valid
Compiler

Compiled 52 to 40 computations (23.1% saved)

preprocess54.0ms (0.5%)

Algorithm
egg-herbie
Rules
424×fma-neg_binary64
394×fma-def_binary64
378×cancel-sign-sub-inv_binary64
334×sub-neg_binary64
202×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114464
1280464
2569464
31059432
42182400
54013400
066
166
Stop Event
unsound
node limit
Calls
Call 1
Inputs
0
1
2
3
4
5
Outputs
0
1
2
3
2
4
5
Call 2
Inputs
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 y)) (cos.f64 (-.f64 x (/.f64 (*.f64 z t) 3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 z)) (cos.f64 (-.f64 y (/.f64 (*.f64 x t) 3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 t)) (cos.f64 (-.f64 y (/.f64 (*.f64 z x) 3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 a)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (/.f64 x (*.f64 b 3)))
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 b)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (/.f64 a (*.f64 x 3)))
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 z (/.f64 (*.f64 y t) 3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 t (/.f64 (*.f64 z y) 3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 a (/.f64 (*.f64 z t) 3)))) (/.f64 y (*.f64 b 3)))
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 b (/.f64 (*.f64 z t) 3)))) (/.f64 a (*.f64 y 3)))
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 t z) 3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 a t) 3)))) (/.f64 z (*.f64 b 3)))
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 b t) 3)))) (/.f64 a (*.f64 z 3)))
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z a) 3)))) (/.f64 t (*.f64 b 3)))
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z b) 3)))) (/.f64 a (*.f64 t 3)))
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (/.f64 b (*.f64 a 3)))
Outputs
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 z (/.f64 3 t))))) (/.f64 a (*.f64 3 b)))
(fma.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (*.f64 t (/.f64 z 3)))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (fma.f64 z (/.f64 t -3) y)) (*.f64 (/.f64 a b) -1/3))
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 y)) (cos.f64 (-.f64 x (/.f64 (*.f64 z t) 3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 y)) (cos.f64 (-.f64 x (/.f64 z (/.f64 3 t))))) (/.f64 a (*.f64 3 b)))
(fma.f64 (*.f64 2 (sqrt.f64 y)) (cos.f64 (-.f64 x (/.f64 z (/.f64 3 t)))) (/.f64 (neg.f64 a) (*.f64 3 b)))
(fma.f64 (*.f64 2 (sqrt.f64 y)) (cos.f64 (-.f64 x (*.f64 t (/.f64 z 3)))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 (*.f64 2 (sqrt.f64 y)) (cos.f64 (fma.f64 z (/.f64 t -3) x)) (*.f64 (/.f64 a b) -1/3))
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 z)) (cos.f64 (-.f64 y (/.f64 (*.f64 x t) 3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (*.f64 2 (*.f64 (sqrt.f64 z) (cos.f64 (-.f64 y (/.f64 x (/.f64 3 t)))))) (/.f64 a (*.f64 3 b)))
(fma.f64 2 (*.f64 (sqrt.f64 z) (cos.f64 (-.f64 y (*.f64 (/.f64 x 3) t)))) (/.f64 (neg.f64 a) (*.f64 3 b)))
(-.f64 (*.f64 2 (*.f64 (sqrt.f64 z) (cos.f64 (-.f64 y (*.f64 t (/.f64 x 3)))))) (/.f64 a (*.f64 3 b)))
(fma.f64 2 (*.f64 (sqrt.f64 z) (cos.f64 (-.f64 y (/.f64 x (/.f64 3 t))))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 z) (cos.f64 (fma.f64 (/.f64 t -3) x y))) (*.f64 (/.f64 a b) -1/3))
(fma.f64 2 (*.f64 (sqrt.f64 z) (cos.f64 (fma.f64 x (/.f64 t -3) y))) (*.f64 (/.f64 a b) -1/3))
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 t)) (cos.f64 (-.f64 y (/.f64 (*.f64 z x) 3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 t)) (cos.f64 (-.f64 y (/.f64 z (/.f64 3 x))))) (/.f64 a (*.f64 3 b)))
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 t)) (cos.f64 (-.f64 y (/.f64 x (/.f64 3 z))))) (/.f64 a (*.f64 3 b)))
(-.f64 (*.f64 (sqrt.f64 t) (*.f64 2 (cos.f64 (-.f64 y (*.f64 (/.f64 x 3) z))))) (/.f64 a (*.f64 3 b)))
(fma.f64 (sqrt.f64 t) (*.f64 2 (cos.f64 (fma.f64 (/.f64 z 3) (neg.f64 x) y))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 (sqrt.f64 t) (*.f64 2 (cos.f64 (fma.f64 x (*.f64 -1/3 z) y))) (*.f64 (/.f64 a b) -1/3))
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 a)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (/.f64 x (*.f64 b 3)))
(-.f64 (*.f64 (cos.f64 (-.f64 y (/.f64 z (/.f64 3 t)))) (*.f64 2 (sqrt.f64 a))) (/.f64 x (*.f64 3 b)))
(fma.f64 2 (*.f64 (cos.f64 (-.f64 y (*.f64 t (/.f64 z 3)))) (sqrt.f64 a)) (*.f64 -1/3 (/.f64 x b)))
(fma.f64 2 (*.f64 (cos.f64 (fma.f64 z (/.f64 t -3) y)) (sqrt.f64 a)) (*.f64 (/.f64 x b) -1/3))
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 b)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (/.f64 a (*.f64 x 3)))
(fma.f64 (*.f64 2 (sqrt.f64 b)) (cos.f64 (-.f64 y (/.f64 z (/.f64 3 t)))) (neg.f64 (/.f64 a (*.f64 x 3))))
(-.f64 (*.f64 (cos.f64 (-.f64 y (/.f64 z (/.f64 3 t)))) (*.f64 2 (sqrt.f64 b))) (/.f64 a (*.f64 x 3)))
(fma.f64 (cos.f64 (-.f64 y (*.f64 t (/.f64 z 3)))) (*.f64 2 (sqrt.f64 b)) (*.f64 -1/3 (/.f64 a x)))
(fma.f64 (cos.f64 (fma.f64 z (/.f64 t -3) y)) (*.f64 2 (sqrt.f64 b)) (*.f64 (/.f64 a x) -1/3))
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 z (/.f64 (*.f64 y t) 3)))) (/.f64 a (*.f64 b 3)))
(fma.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 z (/.f64 y (/.f64 3 t)))) (neg.f64 (/.f64 a (*.f64 3 b))))
(-.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 (-.f64 z (*.f64 (/.f64 y 3) t))))) (/.f64 a (*.f64 3 b)))
(fma.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 z (*.f64 t (/.f64 y 3)))) (/.f64 (neg.f64 a) (*.f64 3 b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 (-.f64 z (/.f64 y (/.f64 3 t))))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 (fma.f64 t (/.f64 y -3) z))) (*.f64 (/.f64 a b) -1/3))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 (fma.f64 y (/.f64 t -3) z))) (*.f64 (/.f64 a b) -1/3))
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 t (/.f64 (*.f64 z y) 3)))) (/.f64 a (*.f64 b 3)))
(fma.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 t (/.f64 z (/.f64 3 y)))) (neg.f64 (/.f64 a (*.f64 3 b))))
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 t (/.f64 y (/.f64 3 z))))) (/.f64 a (*.f64 3 b)))
(fma.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 t (/.f64 y (/.f64 3 z)))) (/.f64 (neg.f64 a) (*.f64 3 b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 (-.f64 t (/.f64 z (/.f64 3 y))))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 (fma.f64 y (*.f64 -1/3 z) t))) (*.f64 (/.f64 a b) -1/3))
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 a (/.f64 (*.f64 z t) 3)))) (/.f64 y (*.f64 b 3)))
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 a (/.f64 z (/.f64 3 t))))) (/.f64 (/.f64 y b) 3))
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 a (/.f64 z (/.f64 3 t))))) (/.f64 y (*.f64 3 b)))
(-.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 (-.f64 a (/.f64 z (/.f64 3 t)))))) (/.f64 y (*.f64 3 b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 (-.f64 a (*.f64 t (/.f64 z 3))))) (*.f64 -1/3 (/.f64 y b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (/.f64 t -3) a))) (/.f64 (/.f64 y -3) b))
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 b (/.f64 (*.f64 z t) 3)))) (/.f64 a (*.f64 y 3)))
(-.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 (-.f64 b (/.f64 z (/.f64 3 t)))))) (/.f64 a (*.f64 y 3)))
(fma.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 b (*.f64 t (/.f64 z 3)))) (*.f64 -1/3 (/.f64 a y)))
(fma.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (fma.f64 z (/.f64 t -3) b)) (*.f64 (/.f64 a y) -1/3))
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 t z) 3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 z (/.f64 3 t))))) (/.f64 a (*.f64 3 b)))
(fma.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (*.f64 t (/.f64 z 3)))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (fma.f64 z (/.f64 t -3) y)) (*.f64 (/.f64 a b) -1/3))
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 a t) 3)))) (/.f64 z (*.f64 b 3)))
(fma.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 a (/.f64 3 t)))) (neg.f64 (/.f64 (/.f64 z b) 3)))
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 a (/.f64 3 t))))) (/.f64 z (*.f64 3 b)))
(-.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 (-.f64 y (/.f64 a (/.f64 3 t)))))) (/.f64 z (*.f64 3 b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (/.f64 a (/.f64 3 t))))) (*.f64 -1/3 (/.f64 z b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 (fma.f64 (/.f64 t -3) a y))) (*.f64 (/.f64 z b) -1/3))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 (fma.f64 a (/.f64 t -3) y))) (*.f64 (/.f64 z b) -1/3))
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 b t) 3)))) (/.f64 a (*.f64 z 3)))
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 b (/.f64 3 t))))) (/.f64 a (*.f64 z 3)))
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (*.f64 (/.f64 b 3) t)))) (/.f64 a (*.f64 z 3)))
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (*.f64 t (/.f64 b 3))))) (/.f64 a (*.f64 z 3)))
(fma.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (*.f64 t (/.f64 b 3)))) (*.f64 -1/3 (/.f64 a z)))
(fma.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (fma.f64 (/.f64 t -3) b y)) (*.f64 (/.f64 a z) -1/3))
(fma.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (fma.f64 b (/.f64 t -3) y)) (*.f64 (/.f64 a z) -1/3))
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z a) 3)))) (/.f64 t (*.f64 b 3)))
(-.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (/.f64 z (/.f64 3 a)))))) (/.f64 t (*.f64 3 b)))
(fma.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 a (/.f64 3 z)))) (/.f64 (neg.f64 t) (*.f64 3 b)))
(fma.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (fma.f64 (/.f64 z 3) (neg.f64 a) y)) (*.f64 -1/3 (/.f64 t b)))
(fma.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (fma.f64 (*.f64 -1/3 a) z y)) (/.f64 (/.f64 t -3) b))
(fma.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (fma.f64 z (*.f64 -1/3 a) y)) (/.f64 (/.f64 t -3) b))
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z b) 3)))) (/.f64 a (*.f64 t 3)))
(fma.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 z (/.f64 3 b)))) (neg.f64 (/.f64 (/.f64 a t) 3)))
(-.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 (-.f64 y (/.f64 z (/.f64 3 b)))))) (/.f64 (/.f64 a t) 3))
(-.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 (-.f64 y (*.f64 (/.f64 b 3) z))))) (/.f64 (/.f64 a t) 3))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (*.f64 z (/.f64 b 3))))) (*.f64 -1/3 (/.f64 a t)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 (fma.f64 b (*.f64 -1/3 z) y))) (*.f64 (/.f64 a t) -1/3))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (*.f64 -1/3 b) y))) (*.f64 (/.f64 a t) -1/3))
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (/.f64 b (*.f64 a 3)))
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 z (/.f64 3 t))))) (/.f64 b (*.f64 3 a)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (*.f64 t (/.f64 z 3))))) (*.f64 -1/3 (/.f64 b a)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (/.f64 t -3) y))) (*.f64 (/.f64 b a) -1/3))
Symmetry

(sort z t)

Compiler

Compiled 25 to 19 computations (24% saved)

simplify41.0ms (0.4%)

Algorithm
egg-herbie
Rules
718×fma-def_binary64
437×fma-neg_binary64
148×cancel-sign-sub-inv_binary64
110×distribute-rgt-neg-in_binary64
108×associate-/l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01929
13429
26529
312027
424125
539925
663925
792225
8121325
9174825
10241225
11278025
12287125
13288725
14288725
Stop Event
saturated
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (/.f64 a (*.f64 b 3)))
Outputs
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (/.f64 a (*.f64 b 3)))
(-.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))) (/.f64 (/.f64 a b) 3))
(-.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (/.f64 t (/.f64 3 z)))))) (/.f64 a (*.f64 3 b)))
(fma.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 t (/.f64 3 z)))) (/.f64 (/.f64 (neg.f64 a) 3) b))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 (-.f64 y (*.f64 z (/.f64 t 3))))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 (fma.f64 t (*.f64 -1/3 z) y))) (/.f64 (*.f64 -1/3 a) b))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (*.f64 -1/3 t) y))) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (*.f64 t -1/3) y))) (*.f64 a (/.f64 -1/3 b)))

prune4.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
20.8b
Counts
3 → 2
Alt Table
StatusErrorProgram
20.9b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (/.f64 a (*.f64 b 3)))
21.2b
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (*.f64 t -1/3) y))) (*.f64 a (/.f64 -1/3 b)))
Compiler

Compiled 138 to 101 computations (26.8% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (*.f64 z t) 3)
0.2b
(/.f64 a (*.f64 b 3))
0.2b
(*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
21.9b
(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))

series27.0ms (0.2%)

Counts
4 → 120
Calls

33 calls:

TimeVariablePointExpression
3.0ms
z
@-inf
(*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
2.0ms
x
@0
(*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
1.0ms
t
@inf
(*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
1.0ms
z
@0
(*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
1.0ms
z
@0
(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))

rewrite38.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
203×add-sqr-sqrt_binary64
196×*-un-lft-identity_binary64
196×pow1_binary64
188×add-exp-log_binary64
188×add-log-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01846
139346
Stop Event
node limit
Counts
4 → 107
Calls
Call 1
Inputs
(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))
(*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
(/.f64 a (*.f64 b 3))
(/.f64 (*.f64 z t) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (*.f64 t 1/3)))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (*.f64 t 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (*.f64 t 1/3)))) 1) (*.f64 (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (*.f64 t 1/3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 y (*.f64 (*.f64 z t) -1/3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 (*.f64 z t) -1/3))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 (*.f64 z t) -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (+.f64 y (*.f64 (*.f64 z t) -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (+.f64 y (*.f64 (*.f64 z t) -1/3)))) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 y (*.f64 (*.f64 z t) -1/3))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 y (*.f64 (*.f64 z t) -1/3))) 2)) (cbrt.f64 (cos.f64 (+.f64 y (*.f64 (*.f64 z t) -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (+.f64 y (*.f64 (*.f64 z t) -1/3)))) (sqrt.f64 (cos.f64 (+.f64 y (*.f64 (*.f64 z t) -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (*.f64 t 1/3)))) 3) (pow.f64 (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (*.f64 t 1/3)))) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (*.f64 t 1/3)))) (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (*.f64 t 1/3))))) (-.f64 (*.f64 (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (*.f64 t 1/3)))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (*.f64 t 1/3))))) (*.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (*.f64 t 1/3)))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (*.f64 t 1/3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (*.f64 t 1/3)))) (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (*.f64 t 1/3))))) (*.f64 (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (*.f64 t 1/3)))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (*.f64 t 1/3)))))) (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (*.f64 t 1/3)))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (*.f64 t 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (+.f64 y (*.f64 (*.f64 z t) -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (+.f64 y (*.f64 (*.f64 z t) -1/3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (+.f64 y (*.f64 (*.f64 z t) -1/3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (+.f64 y (*.f64 (*.f64 z t) -1/3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (+.f64 y (*.f64 (*.f64 z t) -1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (+.f64 y (*.f64 (*.f64 z t) -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 y (*.f64 (*.f64 z t) -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (+.f64 y (*.f64 (*.f64 z t) -1/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (+.f64 y (*.f64 (*.f64 z t) -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 y) (cos.f64 (*.f64 z (*.f64 t 1/3))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (*.f64 t 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (+.f64 y (*.f64 (*.f64 z t) -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 (+.f64 y (*.f64 (*.f64 z t) -1/3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (+.f64 y (*.f64 (*.f64 z t) -1/3)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (*.f64 t 1/3)))) (sqrt.f64 (*.f64 x 4))) (*.f64 (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (*.f64 t 1/3)))) (sqrt.f64 (*.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (*.f64 x 4)) (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (*.f64 t 1/3))))) (*.f64 (sqrt.f64 (*.f64 x 4)) (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (*.f64 t 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 (+.f64 y (*.f64 (*.f64 z t) -1/3))) (sqrt.f64 (*.f64 x 4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 (+.f64 y (*.f64 (*.f64 z t) -1/3))) (sqrt.f64 (*.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 (+.f64 y (*.f64 (*.f64 z t) -1/3))) (sqrt.f64 (*.f64 x 4))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 (+.f64 y (*.f64 (*.f64 z t) -1/3))) (sqrt.f64 (*.f64 x 4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 (+.f64 y (*.f64 (*.f64 z t) -1/3))) (sqrt.f64 (*.f64 x 4)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (cos.f64 (+.f64 y (*.f64 (*.f64 z t) -1/3))) 2) (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 (+.f64 y (*.f64 (*.f64 z t) -1/3)))) (sqrt.f64 (*.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 (+.f64 y (*.f64 (*.f64 z t) -1/3))) (sqrt.f64 (*.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 (+.f64 y (*.f64 (*.f64 z t) -1/3))) (sqrt.f64 (*.f64 x 4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 (+.f64 y (*.f64 (*.f64 z t) -1/3))) 3) (pow.f64 (sqrt.f64 (*.f64 x 4)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 x 4)) 3) (pow.f64 (cos.f64 (+.f64 y (*.f64 (*.f64 z t) -1/3))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 (+.f64 y (*.f64 (*.f64 z t) -1/3))) (sqrt.f64 (*.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 (+.f64 y (*.f64 (*.f64 z t) -1/3))) (sqrt.f64 (*.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (+.f64 y (*.f64 (*.f64 z t) -1/3))) (sqrt.f64 (*.f64 x 4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 (+.f64 y (*.f64 (*.f64 z t) -1/3))) (sqrt.f64 (*.f64 x 4)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a (/.f64 1/3 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (/.f64 1/3 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 a (/.f64 1/3 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a (/.f64 1/3 b))) (cbrt.f64 (pow.f64 (*.f64 a (/.f64 1/3 b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 a (/.f64 1/3 b)) 2)) (cbrt.f64 (*.f64 a (/.f64 1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a a)) (*.f64 (cbrt.f64 a) (/.f64 1/3 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a (/.f64 1/3 b))) (sqrt.f64 (*.f64 a (/.f64 1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (/.f64 1/3 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 a) (/.f64 1 (*.f64 b -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 b) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a b) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 a a)) 1) (/.f64 (cbrt.f64 a) (*.f64 3 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) 1) (/.f64 (sqrt.f64 a) (*.f64 3 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) b) (/.f64 (sqrt.f64 a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 a a)) 3) (/.f64 (cbrt.f64 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) 3) (/.f64 (sqrt.f64 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 b) (/.f64 a 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 a a)) b) (/.f64 (cbrt.f64 a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 3 b)) 2)) (/.f64 a (cbrt.f64 (*.f64 3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 a a)) (pow.f64 (cbrt.f64 (*.f64 3 b)) 2)) (cbrt.f64 (*.f64 a (/.f64 1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 (*.f64 3 b)) 2)) (/.f64 (sqrt.f64 a) (cbrt.f64 (*.f64 3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 3 b))) (/.f64 a (sqrt.f64 (*.f64 3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 a a)) (sqrt.f64 (*.f64 3 b))) (/.f64 (cbrt.f64 a) (sqrt.f64 (*.f64 3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (/.f64 1/3 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (/.f64 1/3 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (/.f64 1/3 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a (/.f64 1/3 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 3 (/.f64 a b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 a (*.f64 b -3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a (/.f64 1/3 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (cbrt.f64 (exp.f64 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a (/.f64 1/3 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (/.f64 1/3 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 a 3) (pow.f64 (*.f64 3 b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (/.f64 1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (/.f64 1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (/.f64 1/3 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (/.f64 1/3 b))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (*.f64 t 1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (/.f64 1 (/.f64 3 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (*.f64 t 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 t (*.f64 z 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z t) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 z (*.f64 t 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z t)) 2) (*.f64 (cbrt.f64 (*.f64 z t)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (*.f64 t 1/3))) (cbrt.f64 (*.f64 (pow.f64 (*.f64 z t) 2) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 z t) 2) 1/9)) (cbrt.f64 (*.f64 z (*.f64 t 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z t)) (*.f64 (sqrt.f64 (*.f64 z t)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (*.f64 t 1/3))) (sqrt.f64 (*.f64 z (*.f64 t 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 t (neg.f64 z)) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 z t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z 3) t)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (*.f64 t 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (*.f64 t 1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (*.f64 t 1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (*.f64 t 1/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 3 (*.f64 z t)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 z t) -3))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 z t) 2) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (*.f64 t 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (*.f64 t 1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (*.f64 t 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (*.f64 t 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (*.f64 t 1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (*.f64 t 1/3))))))))

simplify64.0ms (0.6%)

Algorithm
egg-herbie
Rules
691×associate-*l*_binary64
394×fma-def_binary64
392×cancel-sign-sub-inv_binary64
314×*-commutative_binary64
214×sub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0911991
13111933
211261770
342351770
Stop Event
node limit
Counts
227 → 145
Calls
Call 1
Inputs
(cos.f64 (neg.f64 (*.f64 1/3 (*.f64 t z))))
(-.f64 (cos.f64 (neg.f64 (*.f64 1/3 (*.f64 t z)))) (*.f64 (sin.f64 (neg.f64 (*.f64 1/3 (*.f64 t z)))) y))
(-.f64 (cos.f64 (neg.f64 (*.f64 1/3 (*.f64 t z)))) (+.f64 (*.f64 (sin.f64 (neg.f64 (*.f64 1/3 (*.f64 t z)))) y) (*.f64 1/2 (*.f64 (pow.f64 y 2) (cos.f64 (neg.f64 (*.f64 1/3 (*.f64 t z))))))))
(-.f64 (+.f64 (cos.f64 (neg.f64 (*.f64 1/3 (*.f64 t z)))) (*.f64 1/6 (*.f64 (sin.f64 (neg.f64 (*.f64 1/3 (*.f64 t z)))) (pow.f64 y 3)))) (+.f64 (*.f64 (sin.f64 (neg.f64 (*.f64 1/3 (*.f64 t z)))) y) (*.f64 1/2 (*.f64 (pow.f64 y 2) (cos.f64 (neg.f64 (*.f64 1/3 (*.f64 t z))))))))
(cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z))))
(cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z))))
(cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z))))
(cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z))))
(cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z))))
(cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z))))
(cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z))))
(cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z))))
(cos.f64 y)
(+.f64 (cos.f64 y) (*.f64 1/3 (*.f64 (sin.f64 y) (*.f64 t z))))
(-.f64 (+.f64 (cos.f64 y) (*.f64 1/3 (*.f64 (sin.f64 y) (*.f64 t z)))) (*.f64 1/18 (*.f64 (cos.f64 y) (*.f64 (pow.f64 t 2) (pow.f64 z 2)))))
(-.f64 (+.f64 (cos.f64 y) (*.f64 1/3 (*.f64 (sin.f64 y) (*.f64 t z)))) (+.f64 (*.f64 1/162 (*.f64 (sin.f64 y) (*.f64 (pow.f64 t 3) (pow.f64 z 3)))) (*.f64 1/18 (*.f64 (cos.f64 y) (*.f64 (pow.f64 t 2) (pow.f64 z 2))))))
(cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z))))
(cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z))))
(cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z))))
(cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z))))
(cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z))))
(cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z))))
(cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z))))
(cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z))))
(cos.f64 y)
(+.f64 (cos.f64 y) (*.f64 1/3 (*.f64 (sin.f64 y) (*.f64 t z))))
(-.f64 (+.f64 (cos.f64 y) (*.f64 1/3 (*.f64 (sin.f64 y) (*.f64 t z)))) (*.f64 1/18 (*.f64 (pow.f64 t 2) (*.f64 (cos.f64 y) (pow.f64 z 2)))))
(-.f64 (+.f64 (cos.f64 y) (*.f64 1/3 (*.f64 (sin.f64 y) (*.f64 t z)))) (+.f64 (*.f64 1/162 (*.f64 (sin.f64 y) (*.f64 (pow.f64 t 3) (pow.f64 z 3)))) (*.f64 1/18 (*.f64 (pow.f64 t 2) (*.f64 (cos.f64 y) (pow.f64 z 2))))))
(cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z))))
(cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z))))
(cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z))))
(cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z))))
(cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z))))
(cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z))))
(cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z))))
(cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z))))
(*.f64 2 (*.f64 (cos.f64 (neg.f64 (*.f64 1/3 (*.f64 t z)))) (sqrt.f64 x)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 (neg.f64 (*.f64 1/3 (*.f64 t z)))) (sqrt.f64 x))) (*.f64 2 (*.f64 (*.f64 (sin.f64 (neg.f64 (*.f64 1/3 (*.f64 t z)))) y) (sqrt.f64 x))))
(-.f64 (*.f64 2 (*.f64 (cos.f64 (neg.f64 (*.f64 1/3 (*.f64 t z)))) (sqrt.f64 x))) (+.f64 (*.f64 2 (*.f64 (*.f64 (sin.f64 (neg.f64 (*.f64 1/3 (*.f64 t z)))) y) (sqrt.f64 x))) (*.f64 (*.f64 (pow.f64 y 2) (cos.f64 (neg.f64 (*.f64 1/3 (*.f64 t z))))) (sqrt.f64 x))))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (*.f64 (sin.f64 (neg.f64 (*.f64 1/3 (*.f64 t z)))) (pow.f64 y 3)) (sqrt.f64 x))) (*.f64 2 (*.f64 (cos.f64 (neg.f64 (*.f64 1/3 (*.f64 t z)))) (sqrt.f64 x)))) (+.f64 (*.f64 2 (*.f64 (*.f64 (sin.f64 (neg.f64 (*.f64 1/3 (*.f64 t z)))) y) (sqrt.f64 x))) (*.f64 (*.f64 (pow.f64 y 2) (cos.f64 (neg.f64 (*.f64 1/3 (*.f64 t z))))) (sqrt.f64 x))))
(*.f64 2 (*.f64 (cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z)))) (sqrt.f64 x)))
(*.f64 2 (*.f64 (cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z)))) (sqrt.f64 x)))
(*.f64 2 (*.f64 (cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z)))) (sqrt.f64 x)))
(*.f64 2 (*.f64 (cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z)))) (sqrt.f64 x)))
(*.f64 2 (*.f64 (cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z)))) (sqrt.f64 x)))
(*.f64 2 (*.f64 (cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z)))) (sqrt.f64 x)))
(*.f64 2 (*.f64 (cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z)))) (sqrt.f64 x)))
(*.f64 2 (*.f64 (cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z)))) (sqrt.f64 x)))
(*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 2/3 (*.f64 (*.f64 (sin.f64 y) (*.f64 t z)) (sqrt.f64 x))))
(-.f64 (+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 2/3 (*.f64 (*.f64 (sin.f64 y) (*.f64 t z)) (sqrt.f64 x)))) (*.f64 1/9 (*.f64 (*.f64 (cos.f64 y) (*.f64 (pow.f64 t 2) (pow.f64 z 2))) (sqrt.f64 x))))
(-.f64 (+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 2/3 (*.f64 (*.f64 (sin.f64 y) (*.f64 t z)) (sqrt.f64 x)))) (+.f64 (*.f64 1/9 (*.f64 (*.f64 (pow.f64 t 2) (*.f64 (cos.f64 y) (pow.f64 z 2))) (sqrt.f64 x))) (*.f64 1/81 (*.f64 (*.f64 (sin.f64 y) (*.f64 (pow.f64 t 3) (pow.f64 z 3))) (sqrt.f64 x)))))
(*.f64 2 (*.f64 (cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z)))) (sqrt.f64 x)))
(*.f64 2 (*.f64 (cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z)))) (sqrt.f64 x)))
(*.f64 2 (*.f64 (cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z)))) (sqrt.f64 x)))
(*.f64 2 (*.f64 (cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z)))) (sqrt.f64 x)))
(*.f64 2 (*.f64 (cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z)))) (sqrt.f64 x)))
(*.f64 2 (*.f64 (cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z)))) (sqrt.f64 x)))
(*.f64 2 (*.f64 (cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z)))) (sqrt.f64 x)))
(*.f64 2 (*.f64 (cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z)))) (sqrt.f64 x)))
(*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 2/3 (*.f64 (*.f64 (sin.f64 y) (*.f64 t z)) (sqrt.f64 x))))
(-.f64 (+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 2/3 (*.f64 (*.f64 (sin.f64 y) (*.f64 t z)) (sqrt.f64 x)))) (*.f64 1/9 (*.f64 (*.f64 (cos.f64 y) (*.f64 (pow.f64 t 2) (pow.f64 z 2))) (sqrt.f64 x))))
(-.f64 (+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 2/3 (*.f64 (*.f64 (sin.f64 y) (*.f64 t z)) (sqrt.f64 x)))) (+.f64 (*.f64 1/9 (*.f64 (*.f64 (pow.f64 t 2) (*.f64 (cos.f64 y) (pow.f64 z 2))) (sqrt.f64 x))) (*.f64 1/81 (*.f64 (*.f64 (sin.f64 y) (*.f64 (pow.f64 t 3) (pow.f64 z 3))) (sqrt.f64 x)))))
(*.f64 2 (*.f64 (cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z)))) (sqrt.f64 x)))
(*.f64 2 (*.f64 (cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z)))) (sqrt.f64 x)))
(*.f64 2 (*.f64 (cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z)))) (sqrt.f64 x)))
(*.f64 2 (*.f64 (cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z)))) (sqrt.f64 x)))
(*.f64 2 (*.f64 (cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z)))) (sqrt.f64 x)))
(*.f64 2 (*.f64 (cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z)))) (sqrt.f64 x)))
(*.f64 2 (*.f64 (cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z)))) (sqrt.f64 x)))
(*.f64 2 (*.f64 (cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z)))) (sqrt.f64 x)))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (*.f64 t z))
(*.f64 1/3 (*.f64 t z))
(*.f64 1/3 (*.f64 t z))
(*.f64 1/3 (*.f64 t z))
(*.f64 1/3 (*.f64 t z))
(*.f64 1/3 (*.f64 t z))
(*.f64 1/3 (*.f64 t z))
(*.f64 1/3 (*.f64 t z))
(*.f64 1/3 (*.f64 t z))
(*.f64 1/3 (*.f64 t z))
(*.f64 1/3 (*.f64 t z))
(*.f64 1/3 (*.f64 t z))
(*.f64 1/3 (*.f64 t z))
(*.f64 1/3 (*.f64 t z))
(*.f64 1/3 (*.f64 t z))
(*.f64 1/3 (*.f64 t z))
(*.f64 1/3 (*.f64 t z))
(*.f64 1/3 (*.f64 t z))
(*.f64 1/3 (*.f64 t z))
(*.f64 1/3 (*.f64 t z))
(*.f64 1/3 (*.f64 t z))
(*.f64 1/3 (*.f64 t z))
(*.f64 1/3 (*.f64 t z))
(*.f64 1/3 (*.f64 t z))
Outputs
(cos.f64 (neg.f64 (*.f64 1/3 (*.f64 t z))))
(cos.f64 (*.f64 1/3 (*.f64 t z)))
(-.f64 (cos.f64 (neg.f64 (*.f64 1/3 (*.f64 t z)))) (*.f64 (sin.f64 (neg.f64 (*.f64 1/3 (*.f64 t z)))) y))
(-.f64 (cos.f64 (*.f64 1/3 (*.f64 t z))) (*.f64 (sin.f64 (*.f64 -1/3 (*.f64 t z))) y))
(+.f64 (cos.f64 (*.f64 1/3 (*.f64 t z))) (*.f64 y (sin.f64 (*.f64 1/3 (*.f64 t z)))))
(fma.f64 y (sin.f64 (*.f64 1/3 (*.f64 t z))) (cos.f64 (*.f64 1/3 (*.f64 t z))))
(-.f64 (cos.f64 (neg.f64 (*.f64 1/3 (*.f64 t z)))) (+.f64 (*.f64 (sin.f64 (neg.f64 (*.f64 1/3 (*.f64 t z)))) y) (*.f64 1/2 (*.f64 (pow.f64 y 2) (cos.f64 (neg.f64 (*.f64 1/3 (*.f64 t z))))))))
(-.f64 (cos.f64 (*.f64 1/3 (*.f64 t z))) (fma.f64 (sin.f64 (*.f64 -1/3 (*.f64 t z))) y (*.f64 (*.f64 1/2 (*.f64 y y)) (cos.f64 (*.f64 1/3 (*.f64 t z))))))
(-.f64 (cos.f64 (*.f64 1/3 (*.f64 t z))) (fma.f64 (sin.f64 (*.f64 (*.f64 t z) -1/3)) y (*.f64 (cos.f64 (*.f64 1/3 (*.f64 t z))) (*.f64 (*.f64 1/2 y) y))))
(+.f64 (cos.f64 (*.f64 1/3 (*.f64 t z))) (fma.f64 y (sin.f64 (*.f64 1/3 (*.f64 t z))) (*.f64 (cos.f64 (*.f64 1/3 (*.f64 t z))) (*.f64 (*.f64 y y) -1/2))))
(-.f64 (+.f64 (cos.f64 (neg.f64 (*.f64 1/3 (*.f64 t z)))) (*.f64 1/6 (*.f64 (sin.f64 (neg.f64 (*.f64 1/3 (*.f64 t z)))) (pow.f64 y 3)))) (+.f64 (*.f64 (sin.f64 (neg.f64 (*.f64 1/3 (*.f64 t z)))) y) (*.f64 1/2 (*.f64 (pow.f64 y 2) (cos.f64 (neg.f64 (*.f64 1/3 (*.f64 t z))))))))
(+.f64 (cos.f64 (*.f64 1/3 (*.f64 t z))) (-.f64 (*.f64 1/6 (*.f64 (sin.f64 (*.f64 -1/3 (*.f64 t z))) (pow.f64 y 3))) (fma.f64 (sin.f64 (*.f64 -1/3 (*.f64 t z))) y (*.f64 (*.f64 1/2 (*.f64 y y)) (cos.f64 (*.f64 1/3 (*.f64 t z)))))))
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 (*.f64 (*.f64 t z) -1/3)) (pow.f64 y 3)) (cos.f64 (*.f64 1/3 (*.f64 t z)))) (fma.f64 (sin.f64 (*.f64 (*.f64 t z) -1/3)) y (*.f64 (cos.f64 (*.f64 1/3 (*.f64 t z))) (*.f64 (*.f64 1/2 y) y))))
(+.f64 (cos.f64 (*.f64 1/3 (*.f64 t z))) (+.f64 (*.f64 (sin.f64 (*.f64 t (*.f64 z -1/3))) (-.f64 (*.f64 1/6 (pow.f64 y 3)) y)) (*.f64 (cos.f64 (*.f64 1/3 (*.f64 t z))) (*.f64 (*.f64 y y) -1/2))))
(cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z))))
(cos.f64 (+.f64 y (*.f64 -1/3 (*.f64 t z))))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z))))
(cos.f64 (+.f64 y (*.f64 -1/3 (*.f64 t z))))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z))))
(cos.f64 (+.f64 y (*.f64 -1/3 (*.f64 t z))))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z))))
(cos.f64 (+.f64 y (*.f64 -1/3 (*.f64 t z))))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z))))
(cos.f64 (+.f64 y (*.f64 -1/3 (*.f64 t z))))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z))))
(cos.f64 (+.f64 y (*.f64 -1/3 (*.f64 t z))))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z))))
(cos.f64 (+.f64 y (*.f64 -1/3 (*.f64 t z))))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z))))
(cos.f64 (+.f64 y (*.f64 -1/3 (*.f64 t z))))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 y)
(+.f64 (cos.f64 y) (*.f64 1/3 (*.f64 (sin.f64 y) (*.f64 t z))))
(+.f64 (cos.f64 y) (*.f64 1/3 (*.f64 (*.f64 t z) (sin.f64 y))))
(fma.f64 1/3 (*.f64 (*.f64 t z) (sin.f64 y)) (cos.f64 y))
(-.f64 (+.f64 (cos.f64 y) (*.f64 1/3 (*.f64 (sin.f64 y) (*.f64 t z)))) (*.f64 1/18 (*.f64 (cos.f64 y) (*.f64 (pow.f64 t 2) (pow.f64 z 2)))))
(+.f64 (cos.f64 y) (-.f64 (*.f64 1/3 (*.f64 (*.f64 t z) (sin.f64 y))) (*.f64 (*.f64 1/18 (cos.f64 y)) (*.f64 (*.f64 t t) (*.f64 z z)))))
(+.f64 (cos.f64 y) (fma.f64 1/3 (*.f64 (*.f64 t z) (sin.f64 y)) (*.f64 (*.f64 -1/18 (cos.f64 y)) (*.f64 (*.f64 t z) (*.f64 t z)))))
(fma.f64 (*.f64 t (*.f64 (*.f64 t (cos.f64 y)) (*.f64 z z))) -1/18 (fma.f64 1/3 (*.f64 (*.f64 t z) (sin.f64 y)) (cos.f64 y)))
(-.f64 (+.f64 (cos.f64 y) (*.f64 1/3 (*.f64 (sin.f64 y) (*.f64 t z)))) (+.f64 (*.f64 1/162 (*.f64 (sin.f64 y) (*.f64 (pow.f64 t 3) (pow.f64 z 3)))) (*.f64 1/18 (*.f64 (cos.f64 y) (*.f64 (pow.f64 t 2) (pow.f64 z 2))))))
(+.f64 (cos.f64 y) (-.f64 (*.f64 1/3 (*.f64 (*.f64 t z) (sin.f64 y))) (fma.f64 1/162 (*.f64 (*.f64 (sin.f64 y) (pow.f64 t 3)) (pow.f64 z 3)) (*.f64 (*.f64 1/18 (cos.f64 y)) (*.f64 (*.f64 t t) (*.f64 z z))))))
(-.f64 (fma.f64 1/3 (*.f64 (*.f64 t z) (sin.f64 y)) (cos.f64 y)) (fma.f64 1/18 (*.f64 (cos.f64 y) (*.f64 (*.f64 t z) (*.f64 t z))) (*.f64 1/162 (*.f64 (sin.f64 y) (*.f64 (pow.f64 t 3) (pow.f64 z 3))))))
(+.f64 (cos.f64 y) (+.f64 (*.f64 (sin.f64 y) (-.f64 (*.f64 1/3 (*.f64 t z)) (*.f64 1/162 (*.f64 (pow.f64 t 3) (pow.f64 z 3))))) (*.f64 t (*.f64 (*.f64 t (*.f64 z (*.f64 z (cos.f64 y)))) -1/18))))
(cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z))))
(cos.f64 (+.f64 y (*.f64 -1/3 (*.f64 t z))))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z))))
(cos.f64 (+.f64 y (*.f64 -1/3 (*.f64 t z))))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z))))
(cos.f64 (+.f64 y (*.f64 -1/3 (*.f64 t z))))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z))))
(cos.f64 (+.f64 y (*.f64 -1/3 (*.f64 t z))))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z))))
(cos.f64 (+.f64 y (*.f64 -1/3 (*.f64 t z))))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z))))
(cos.f64 (+.f64 y (*.f64 -1/3 (*.f64 t z))))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z))))
(cos.f64 (+.f64 y (*.f64 -1/3 (*.f64 t z))))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z))))
(cos.f64 (+.f64 y (*.f64 -1/3 (*.f64 t z))))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 y)
(+.f64 (cos.f64 y) (*.f64 1/3 (*.f64 (sin.f64 y) (*.f64 t z))))
(+.f64 (cos.f64 y) (*.f64 1/3 (*.f64 (*.f64 t z) (sin.f64 y))))
(fma.f64 1/3 (*.f64 (*.f64 t z) (sin.f64 y)) (cos.f64 y))
(-.f64 (+.f64 (cos.f64 y) (*.f64 1/3 (*.f64 (sin.f64 y) (*.f64 t z)))) (*.f64 1/18 (*.f64 (pow.f64 t 2) (*.f64 (cos.f64 y) (pow.f64 z 2)))))
(+.f64 (cos.f64 y) (-.f64 (*.f64 1/3 (*.f64 (*.f64 t z) (sin.f64 y))) (*.f64 (*.f64 1/18 (cos.f64 y)) (*.f64 (*.f64 t t) (*.f64 z z)))))
(+.f64 (cos.f64 y) (fma.f64 1/3 (*.f64 (*.f64 t z) (sin.f64 y)) (*.f64 (*.f64 -1/18 (cos.f64 y)) (*.f64 (*.f64 t z) (*.f64 t z)))))
(fma.f64 (*.f64 t (*.f64 (*.f64 t (cos.f64 y)) (*.f64 z z))) -1/18 (fma.f64 1/3 (*.f64 (*.f64 t z) (sin.f64 y)) (cos.f64 y)))
(-.f64 (+.f64 (cos.f64 y) (*.f64 1/3 (*.f64 (sin.f64 y) (*.f64 t z)))) (+.f64 (*.f64 1/162 (*.f64 (sin.f64 y) (*.f64 (pow.f64 t 3) (pow.f64 z 3)))) (*.f64 1/18 (*.f64 (pow.f64 t 2) (*.f64 (cos.f64 y) (pow.f64 z 2))))))
(+.f64 (cos.f64 y) (-.f64 (*.f64 1/3 (*.f64 (*.f64 t z) (sin.f64 y))) (fma.f64 1/162 (*.f64 (*.f64 (sin.f64 y) (pow.f64 t 3)) (pow.f64 z 3)) (*.f64 (*.f64 1/18 (cos.f64 y)) (*.f64 (*.f64 t t) (*.f64 z z))))))
(-.f64 (fma.f64 1/3 (*.f64 (*.f64 t z) (sin.f64 y)) (cos.f64 y)) (fma.f64 1/18 (*.f64 (cos.f64 y) (*.f64 (*.f64 t z) (*.f64 t z))) (*.f64 1/162 (*.f64 (sin.f64 y) (*.f64 (pow.f64 t 3) (pow.f64 z 3))))))
(+.f64 (cos.f64 y) (+.f64 (*.f64 (sin.f64 y) (-.f64 (*.f64 1/3 (*.f64 t z)) (*.f64 1/162 (*.f64 (pow.f64 t 3) (pow.f64 z 3))))) (*.f64 t (*.f64 (*.f64 t (*.f64 z (*.f64 z (cos.f64 y)))) -1/18))))
(cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z))))
(cos.f64 (+.f64 y (*.f64 -1/3 (*.f64 t z))))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z))))
(cos.f64 (+.f64 y (*.f64 -1/3 (*.f64 t z))))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z))))
(cos.f64 (+.f64 y (*.f64 -1/3 (*.f64 t z))))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z))))
(cos.f64 (+.f64 y (*.f64 -1/3 (*.f64 t z))))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z))))
(cos.f64 (+.f64 y (*.f64 -1/3 (*.f64 t z))))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z))))
(cos.f64 (+.f64 y (*.f64 -1/3 (*.f64 t z))))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z))))
(cos.f64 (+.f64 y (*.f64 -1/3 (*.f64 t z))))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z))))
(cos.f64 (+.f64 y (*.f64 -1/3 (*.f64 t z))))
(cos.f64 (fma.f64 (*.f64 t z) -1/3 y))
(*.f64 2 (*.f64 (cos.f64 (neg.f64 (*.f64 1/3 (*.f64 t z)))) (sqrt.f64 x)))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/3 (*.f64 t z))) (sqrt.f64 x)))
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(*.f64 2 (*.f64 (cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z)))) (sqrt.f64 x)))
(*.f64 (*.f64 2 (cos.f64 (+.f64 y (*.f64 -1/3 (*.f64 t z))))) (sqrt.f64 x))
(*.f64 (cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z)))) (*.f64 (sqrt.f64 x) 2))
(*.f64 2 (*.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) (sqrt.f64 x)))
(*.f64 2 (*.f64 (cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z)))) (sqrt.f64 x)))
(*.f64 (*.f64 2 (cos.f64 (+.f64 y (*.f64 -1/3 (*.f64 t z))))) (sqrt.f64 x))
(*.f64 (cos.f64 (-.f64 y (*.f64 1/3 (*.f64 t z)))) (*.f64 (sqrt.f64 x) 2))
(*.f64 2 (*.f64 (cos.f64 (fma.f64 (*.f64 t z) -1/3 y)) (sqrt.f64 x)))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (*.f64 t z))
(*.f64 1/3 (*.f64 t z))
(*.f64 1/3 (*.f64 t z))
(*.f64 1/3 (*.f64 t z))
(*.f64 1/3 (*.f64 t z))
(*.f64 1/3 (*.f64 t z))
(*.f64 1/3 (*.f64 t z))
(*.f64 1/3 (*.f64 t z))
(*.f64 1/3 (*.f64 t z))
(*.f64 1/3 (*.f64 t z))
(*.f64 1/3 (*.f64 t z))
(*.f64 1/3 (*.f64 t z))
(*.f64 1/3 (*.f64 t z))
(*.f64 1/3 (*.f64 t z))
(*.f64 1/3 (*.f64 t z))
(*.f64 1/3 (*.f64 t z))
(*.f64 1/3 (*.f64 t z))
(*.f64 1/3 (*.f64 t z))
(*.f64 1/3 (*.f64 t z))
(*.f64 1/3 (*.f64 t z))
(*.f64 1/3 (*.f64 t z))
(*.f64 1/3 (*.f64 t z))
(*.f64 1/3 (*.f64 t z))
(*.f64 1/3 (*.f64 t z))

prune310.0ms (2.8%)

Pruning

26 alts after pruning (26 fresh and 0 done)

PrunedKeptTotal
New12025145
Fresh011
Picked101
Done000
Total12126147
Error
13.8b
Counts
147 → 26
Alt Table
StatusErrorProgram
24.7b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (sqrt.f64 (*.f64 (pow.f64 (*.f64 z t) 2) 1/9))))) (/.f64 a (*.f64 b 3)))
21.0b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (*.f64 (/.f64 1 b) (/.f64 a 3)))
21.0b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (pow.f64 (/.f64 3 (/.f64 a b)) -1))
26.0b
(-.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 (+.f64 y (*.f64 (*.f64 z t) -1/3))) 2) (*.f64 x 4))) (/.f64 a (*.f64 b 3)))
35.1b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (+.f64 (cos.f64 y) (*.f64 1/3 (*.f64 (sin.f64 y) (*.f64 t z)))) (*.f64 1/18 (*.f64 (cos.f64 y) (*.f64 (pow.f64 t 2) (pow.f64 z 2)))))) (/.f64 a (*.f64 b 3)))
28.8b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (*.f64 1/3 (*.f64 t z)))) (/.f64 a (*.f64 b 3)))
21.4b
(-.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (+.f64 y (*.f64 (*.f64 z t) -1/3))) (sqrt.f64 (*.f64 x 4)))) 3) (/.f64 a (*.f64 b 3)))
26.4b
(-.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)))
20.9b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 z t)) -1)))) (/.f64 a (*.f64 b 3)))
24.3b
(-.f64 (+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 2/3 (*.f64 (*.f64 (sin.f64 y) (*.f64 t z)) (sqrt.f64 x)))) (/.f64 a (*.f64 b 3)))
20.7b
(-.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)))
21.2b
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (*.f64 t -1/3) y))) (*.f64 a (/.f64 -1/3 b)))
20.4b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (*.f64 t 1/3)))) 3) (pow.f64 (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (*.f64 t 1/3)))) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (*.f64 t 1/3)))) (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (*.f64 t 1/3))))) (-.f64 (*.f64 (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (*.f64 t 1/3)))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (*.f64 t 1/3))))) (*.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (*.f64 t 1/3)))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (*.f64 t 1/3))))))))) (/.f64 a (*.f64 b 3)))
16.1b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
20.4b
(-.f64 (+.f64 (*.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (*.f64 t 1/3)))) (sqrt.f64 (*.f64 x 4))) (*.f64 (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (*.f64 t 1/3)))) (sqrt.f64 (*.f64 x 4)))) (/.f64 a (*.f64 b 3)))
21.1b
(-.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)))
21.1b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 (cbrt.f64 (cos.f64 (+.f64 y (*.f64 (*.f64 z t) -1/3)))) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 y (*.f64 (*.f64 z t) -1/3))) 2)))) (/.f64 a (*.f64 b 3)))
20.8b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (*.f64 t (*.f64 z 1/3))))) (/.f64 a (*.f64 b 3)))
21.1b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 y (*.f64 (*.f64 z t) -1/3))) 3))) (/.f64 a (*.f64 b 3)))
21.0b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (*.f64 z (/.f64 1 (/.f64 3 t)))))) (/.f64 a (*.f64 b 3)))
27.8b
(-.f64 (expm1.f64 (log1p.f64 (*.f64 (cos.f64 (+.f64 y (*.f64 (*.f64 z t) -1/3))) (sqrt.f64 (*.f64 x 4))))) (/.f64 a (*.f64 b 3)))
29.8b
(-.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 (+.f64 y (*.f64 (*.f64 z t) -1/3))) (sqrt.f64 (*.f64 x 4))) 3)) (/.f64 a (*.f64 b 3)))
26.0b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 y (*.f64 (*.f64 z t) -1/3))) 2))) (/.f64 a (*.f64 b 3)))
34.8b
(-.f64 (pow.f64 (sqrt.f64 (*.f64 (cos.f64 (+.f64 y (*.f64 (*.f64 z t) -1/3))) (sqrt.f64 (*.f64 x 4)))) 2) (/.f64 a (*.f64 b 3)))
20.4b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (*.f64 t 1/3)))) (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (*.f64 t 1/3))))) (*.f64 (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (*.f64 t 1/3)))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (*.f64 t 1/3)))))) (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (*.f64 t 1/3)))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (*.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
37.5b
(-.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)))
Compiler

Compiled 5568 to 3621 computations (35% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
0.2b
(*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y))
0.2b
(/.f64 a (*.f64 b 3))

series14.0ms (0.1%)

Counts
2 → 49
Calls

18 calls:

TimeVariablePointExpression
3.0ms
y
@-inf
(*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y))
1.0ms
x
@0
(*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y))
1.0ms
y
@0
(*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y))
1.0ms
a
@0
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
1.0ms
y
@inf
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))

rewrite73.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
344×fma-def_binary64
266×expm1-udef_binary64
266×log1p-udef_binary64
185×fma-neg_binary64
152×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01431
129931
2395531
Stop Event
node limit
Counts
2 → 128
Calls
Call 1
Inputs
(*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y))
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x 4) (pow.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 y)) (sqrt.f64 (*.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))) (*.f64 a (neg.f64 (/.f64 1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))) (*.f64 (*.f64 a (neg.f64 (/.f64 1/3 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) (fma.f64 (neg.f64 (/.f64 1/3 b)) a (*.f64 a (/.f64 1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) (fma.f64 (*.f64 a (neg.f64 (/.f64 1/3 b))) 1 (*.f64 a (/.f64 1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 a (/.f64 1/3 b)))) (pow.f64 (cbrt.f64 (*.f64 a (/.f64 1/3 b))) 2) (*.f64 a (/.f64 1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) (+.f64 (*.f64 a (neg.f64 (/.f64 1/3 b))) (*.f64 a (/.f64 1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (neg.f64 (/.f64 1/3 b))) (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))) (*.f64 a (/.f64 1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))) 2) (cbrt.f64 (-.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))) (sqrt.f64 (-.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))) 3) (pow.f64 (*.f64 a (/.f64 1/3 b)) 3)) (/.f64 1 (fma.f64 (*.f64 a (/.f64 1/3 b)) (fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 1/3 b))) (*.f64 (*.f64 x 4) (pow.f64 (cos.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (*.f64 x 4) (pow.f64 (cos.f64 y) 2)) (pow.f64 (*.f64 a (/.f64 1/3 b)) 2)) (/.f64 1 (fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 1/3 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y)))) (sqrt.f64 (*.f64 a (/.f64 1/3 b)))) (-.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y)))) (sqrt.f64 (*.f64 a (/.f64 1/3 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 a 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(sqrt.f64 (*.f64 x 4))) (*.f64 a (neg.f64 (/.f64 1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 y) (cbrt.f64 (*.f64 x 4))) (cbrt.f64 (sqrt.f64 (*.f64 x 4))) (*.f64 (*.f64 a (neg.f64 (/.f64 1/3 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 (sqrt.f64 (*.f64 x 4)))) (sqrt.f64 (sqrt.f64 (*.f64 x 4))) (*.f64 a (neg.f64 (/.f64 1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 (sqrt.f64 (*.f64 x 4)))) (sqrt.f64 (sqrt.f64 (*.f64 x 4))) (*.f64 (*.f64 a (neg.f64 (/.f64 1/3 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))) (*.f64 a (/.f64 1/3 b)))))))))

simplify48.0ms (0.4%)

Algorithm
egg-herbie
Rules
472×cancel-sign-sub-inv_binary64
428×fma-neg_binary64
423×associate-*l*_binary64
374×sub-neg_binary64
357×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
041871
1119801
2346775
31142771
44327771
Stop Event
node limit
Counts
177 → 149
Calls
Call 1
Inputs
(*.f64 2 (sqrt.f64 x))
(-.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 (pow.f64 y 2) (sqrt.f64 x)))
(-.f64 (+.f64 (*.f64 1/12 (*.f64 (pow.f64 y 4) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x))) (*.f64 (pow.f64 y 2) (sqrt.f64 x)))
(-.f64 (+.f64 (*.f64 1/12 (*.f64 (pow.f64 y 4) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x))) (+.f64 (*.f64 (pow.f64 y 2) (sqrt.f64 x)) (*.f64 1/360 (*.f64 (pow.f64 y 6) (sqrt.f64 x)))))
(*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))
(*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))
(*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))
(*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))
(*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))
(*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))
(*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))
(*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))
(*.f64 -1/3 (/.f64 a b))
(-.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 2 (sqrt.f64 x)) (+.f64 (*.f64 (pow.f64 y 2) (sqrt.f64 x)) (*.f64 1/3 (/.f64 a b))))
(-.f64 (+.f64 (*.f64 1/12 (*.f64 (pow.f64 y 4) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x))) (+.f64 (*.f64 (pow.f64 y 2) (sqrt.f64 x)) (*.f64 1/3 (/.f64 a b))))
(-.f64 (+.f64 (*.f64 1/12 (*.f64 (pow.f64 y 4) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x))) (+.f64 (*.f64 (pow.f64 y 2) (sqrt.f64 x)) (+.f64 (*.f64 1/3 (/.f64 a b)) (*.f64 1/360 (*.f64 (pow.f64 y 6) (sqrt.f64 x))))))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(*.f64 -1/3 (/.f64 a b))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(*.f64 -1/3 (/.f64 a b))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(*.f64 -1/3 (/.f64 a b))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
Outputs
(*.f64 2 (sqrt.f64 x))
(-.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 (pow.f64 y 2) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (-.f64 2 (*.f64 y y)))
(-.f64 (+.f64 (*.f64 1/12 (*.f64 (pow.f64 y 4) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x))) (*.f64 (pow.f64 y 2) (sqrt.f64 x)))
(+.f64 (*.f64 1/12 (*.f64 (sqrt.f64 x) (pow.f64 y 4))) (*.f64 (sqrt.f64 x) (-.f64 2 (*.f64 y y))))
(fma.f64 1/12 (*.f64 (sqrt.f64 x) (pow.f64 y 4)) (*.f64 (sqrt.f64 x) (-.f64 2 (*.f64 y y))))
(*.f64 (sqrt.f64 x) (-.f64 (fma.f64 1/12 (pow.f64 y 4) 2) (*.f64 y y)))
(-.f64 (+.f64 (*.f64 1/12 (*.f64 (pow.f64 y 4) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x))) (+.f64 (*.f64 (pow.f64 y 2) (sqrt.f64 x)) (*.f64 1/360 (*.f64 (pow.f64 y 6) (sqrt.f64 x)))))
(-.f64 (+.f64 (*.f64 1/12 (*.f64 (sqrt.f64 x) (pow.f64 y 4))) (*.f64 (sqrt.f64 x) (-.f64 2 (*.f64 y y)))) (*.f64 1/360 (*.f64 (sqrt.f64 x) (pow.f64 y 6))))
(-.f64 (*.f64 (sqrt.f64 x) (+.f64 2 (*.f64 1/12 (pow.f64 y 4)))) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 y y) (*.f64 1/360 (pow.f64 y 6)))))
(*.f64 (sqrt.f64 x) (-.f64 (fma.f64 1/12 (pow.f64 y 4) 2) (fma.f64 1/360 (pow.f64 y 6) (*.f64 y y))))
(*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))
(*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)))
(*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y))
(*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))
(*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)))
(*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y))
(*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))
(*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)))
(*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y))
(*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))
(*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)))
(*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y))
(*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))
(*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)))
(*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y))
(*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))
(*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)))
(*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y))
(*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))
(*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)))
(*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y))
(*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))
(*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)))
(*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y))
(*.f64 -1/3 (/.f64 a b))
(/.f64 -1/3 (/.f64 b a))
(*.f64 a (/.f64 -1/3 b))
(-.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (sqrt.f64 x) (/.f64 -1/3 (/.f64 b a)))
(fma.f64 2 (sqrt.f64 x) (*.f64 a (/.f64 -1/3 b)))
(-.f64 (*.f64 2 (sqrt.f64 x)) (+.f64 (*.f64 (pow.f64 y 2) (sqrt.f64 x)) (*.f64 1/3 (/.f64 a b))))
(-.f64 (*.f64 (sqrt.f64 x) (-.f64 2 (*.f64 y y))) (*.f64 (/.f64 a b) 1/3))
(fma.f64 (sqrt.f64 x) (-.f64 2 (*.f64 y y)) (/.f64 -1/3 (/.f64 b a)))
(fma.f64 (sqrt.f64 x) (-.f64 2 (*.f64 y y)) (*.f64 a (/.f64 -1/3 b)))
(-.f64 (+.f64 (*.f64 1/12 (*.f64 (pow.f64 y 4) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x))) (+.f64 (*.f64 (pow.f64 y 2) (sqrt.f64 x)) (*.f64 1/3 (/.f64 a b))))
(+.f64 (*.f64 1/12 (*.f64 (sqrt.f64 x) (pow.f64 y 4))) (-.f64 (*.f64 (sqrt.f64 x) (-.f64 2 (*.f64 y y))) (*.f64 (/.f64 a b) 1/3)))
(fma.f64 1/12 (*.f64 (sqrt.f64 x) (pow.f64 y 4)) (fma.f64 (sqrt.f64 x) (-.f64 2 (*.f64 y y)) (/.f64 -1/3 (/.f64 b a))))
(+.f64 (/.f64 -1/3 (/.f64 b a)) (*.f64 (sqrt.f64 x) (-.f64 (fma.f64 1/12 (pow.f64 y 4) 2) (*.f64 y y))))
(fma.f64 (sqrt.f64 x) (-.f64 (fma.f64 1/12 (pow.f64 y 4) 2) (*.f64 y y)) (*.f64 a (/.f64 -1/3 b)))
(-.f64 (+.f64 (*.f64 1/12 (*.f64 (pow.f64 y 4) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x))) (+.f64 (*.f64 (pow.f64 y 2) (sqrt.f64 x)) (+.f64 (*.f64 1/3 (/.f64 a b)) (*.f64 1/360 (*.f64 (pow.f64 y 6) (sqrt.f64 x))))))
(-.f64 (+.f64 (*.f64 1/12 (*.f64 (sqrt.f64 x) (pow.f64 y 4))) (*.f64 (sqrt.f64 x) (-.f64 2 (*.f64 y y)))) (fma.f64 1/3 (/.f64 a b) (*.f64 1/360 (*.f64 (sqrt.f64 x) (pow.f64 y 6)))))
(-.f64 (*.f64 (sqrt.f64 x) (+.f64 2 (*.f64 1/12 (pow.f64 y 4)))) (+.f64 (*.f64 (sqrt.f64 x) (+.f64 (*.f64 y y) (*.f64 1/360 (pow.f64 y 6)))) (*.f64 (/.f64 a b) 1/3)))
(+.f64 (*.f64 (sqrt.f64 x) (-.f64 (fma.f64 1/12 (pow.f64 y 4) 2) (fma.f64 1/360 (pow.f64 y 6) (*.f64 y y)))) (/.f64 -1/3 (/.f64 b a)))
(fma.f64 (sqrt.f64 x) (-.f64 (fma.f64 1/12 (pow.f64 y 4) 2) (fma.f64 1/360 (pow.f64 y 6) (*.f64 y y))) (*.f64 a (/.f64 -1/3 b)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 -1/3 (/.f64 b a)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 -1/3 b)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 -1/3 (/.f64 b a)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 -1/3 b)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 -1/3 (/.f64 b a)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 -1/3 b)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 -1/3 (/.f64 b a)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 -1/3 b)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 -1/3 (/.f64 b a)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 -1/3 b)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 -1/3 (/.f64 b a)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 -1/3 b)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 -1/3 (/.f64 b a)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 -1/3 b)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 -1/3 (/.f64 b a)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 -1/3 b)))
(*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))
(*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)))
(*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 -1/3 (/.f64 b a)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 -1/3 b)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 -1/3 (/.f64 b a)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 -1/3 b)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 -1/3 (/.f64 b a)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 -1/3 b)))
(*.f64 -1/3 (/.f64 a b))
(/.f64 -1/3 (/.f64 b a))
(*.f64 a (/.f64 -1/3 b))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 -1/3 (/.f64 b a)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 -1/3 b)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 -1/3 (/.f64 b a)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 -1/3 b)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 -1/3 (/.f64 b a)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 -1/3 b)))
(*.f64 -1/3 (/.f64 a b))
(/.f64 -1/3 (/.f64 b a))
(*.f64 a (/.f64 -1/3 b))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 -1/3 (/.f64 b a)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 -1/3 b)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 -1/3 (/.f64 b a)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 -1/3 b)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 -1/3 (/.f64 b a)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 -1/3 b)))
(*.f64 -1/3 (/.f64 a b))
(/.f64 -1/3 (/.f64 b a))
(*.f64 a (/.f64 -1/3 b))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 -1/3 (/.f64 b a)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 -1/3 b)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 -1/3 (/.f64 b a)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 -1/3 b)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 -1/3 (/.f64 b a)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 -1/3 b)))
(*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))
(*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)))
(*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 -1/3 (/.f64 b a)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 -1/3 b)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 -1/3 (/.f64 b a)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 -1/3 b)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 -1/3 (/.f64 b a)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 -1/3 b)))
(*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))
(*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)))
(*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 -1/3 (/.f64 b a)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 -1/3 b)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 -1/3 (/.f64 b a)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 -1/3 b)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 -1/3 (/.f64 b a)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 -1/3 b)))

prune386.0ms (3.4%)

Pruning

28 alts after pruning (28 fresh and 0 done)

PrunedKeptTotal
New17711188
Fresh81725
Picked101
Done000
Total18628214
Error
13.6b
Counts
214 → 28
Alt Table
StatusErrorProgram
25.0b
(-.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))) 3)) (/.f64 a (*.f64 b 3)))
24.7b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (sqrt.f64 (*.f64 (pow.f64 (*.f64 z t) 2) 1/9))))) (/.f64 a (*.f64 b 3)))
28.8b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (*.f64 1/3 (*.f64 t z)))) (/.f64 a (*.f64 b 3)))
16.4b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)) (pow.f64 (/.f64 3 (/.f64 a b)) -1))
35.1b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (+.f64 (cos.f64 y) (*.f64 1/3 (*.f64 (sin.f64 y) (*.f64 t z)))) (*.f64 1/18 (*.f64 (cos.f64 y) (*.f64 (pow.f64 t 2) (pow.f64 z 2)))))) (/.f64 a (*.f64 b 3)))
21.4b
(-.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (+.f64 y (*.f64 (*.f64 z t) -1/3))) (sqrt.f64 (*.f64 x 4)))) 3) (/.f64 a (*.f64 b 3)))
41.7b
(sqrt.f64 (pow.f64 (-.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))) (*.f64 a (/.f64 1/3 b))) 2))
20.4b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (*.f64 t 1/3)))) (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (*.f64 t 1/3))))) (*.f64 (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (*.f64 t 1/3)))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (*.f64 t 1/3)))))) (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (*.f64 t 1/3)))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (*.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
26.4b
(-.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)))
16.2b
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 x 4))) (*.f64 a (neg.f64 (/.f64 1/3 b))))
20.9b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 z t)) -1)))) (/.f64 a (*.f64 b 3)))
24.3b
(-.f64 (+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 2/3 (*.f64 (*.f64 (sin.f64 y) (*.f64 t z)) (sqrt.f64 x)))) (/.f64 a (*.f64 b 3)))
16.1b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1 b) (/.f64 a 3)))
16.3b
(fma.f64 (cbrt.f64 (*.f64 x 4)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 4))) (cos.f64 y)) (*.f64 a (neg.f64 (/.f64 1/3 b))))
20.7b
(-.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)))
21.2b
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (*.f64 t -1/3) y))) (*.f64 a (/.f64 -1/3 b)))
20.4b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (*.f64 t 1/3)))) 3) (pow.f64 (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (*.f64 t 1/3)))) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (*.f64 t 1/3)))) (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (*.f64 t 1/3))))) (-.f64 (*.f64 (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (*.f64 t 1/3)))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (*.f64 t 1/3))))) (*.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (*.f64 t 1/3)))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (*.f64 t 1/3))))))))) (/.f64 a (*.f64 b 3)))
29.9b
(-.f64 (exp.f64 (log.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))) (/.f64 a (*.f64 b 3)))
20.8b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (*.f64 t (*.f64 z 1/3))))) (/.f64 a (*.f64 b 3)))
21.1b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 y (*.f64 (*.f64 z t) -1/3))) 3))) (/.f64 a (*.f64 b 3)))
35.6b
(*.f64 -1/3 (/.f64 a b))
34.2b
(-.f64 (pow.f64 (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))) 3) 1/3) (/.f64 a (*.f64 b 3)))
26.0b
(-.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 (+.f64 y (*.f64 (*.f64 z t) -1/3))) 2) (*.f64 x 4))) (/.f64 a (*.f64 b 3)))
24.0b
(-.f64 (*.f64 2 (sqrt.f64 x)) (/.f64 a (*.f64 b 3)))
37.9b
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))) 3) (pow.f64 (*.f64 a (/.f64 1/3 b)) 3)) (fma.f64 (*.f64 a (/.f64 1/3 b)) (fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 1/3 b))) (*.f64 (*.f64 x 4) (pow.f64 (cos.f64 y) 2))))
37.5b
(-.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)))
21.1b
(-.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)))
21.0b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (*.f64 z (/.f64 1 (/.f64 3 t)))))) (/.f64 a (*.f64 b 3)))
Compiler

Compiled 6142 to 3993 computations (35% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1 b) (/.f64 a 3)))
0.2b
(*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y))
0.3b
(*.f64 (/.f64 1 b) (/.f64 a 3))

series7.0ms (0.1%)

Counts
2 → 61
Calls

18 calls:

TimeVariablePointExpression
2.0ms
b
@-inf
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1 b) (/.f64 a 3)))
0.0ms
x
@inf
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1 b) (/.f64 a 3)))
0.0ms
x
@-inf
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1 b) (/.f64 a 3)))
0.0ms
b
@0
(*.f64 (/.f64 1 b) (/.f64 a 3))
0.0ms
x
@0
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1 b) (/.f64 a 3)))

rewrite61.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
296×log1p-udef_binary64
174×add-sqr-sqrt_binary64
165×*-un-lft-identity_binary64
165×pow1_binary64
161×add-cbrt-cube_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01627
135325
2457825
Stop Event
node limit
Counts
2 → 95
Calls
Call 1
Inputs
(*.f64 (/.f64 1 b) (/.f64 a 3))
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1 b) (/.f64 a 3)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 a b) 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 b (/.f64 3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 3 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 b 3) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b (*.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 3 (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 b) (/.f64 3 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (*.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (/.f64 b 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a 1/3) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 a) 2) (/.f64 (*.f64 b 3) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 a 1/3)) 2) (/.f64 b (cbrt.f64 (*.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 a) (/.f64 (*.f64 b 3) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 a 1/3)) (/.f64 b (sqrt.f64 (*.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a -1/3) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 b) (/.f64 3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (/.f64 3 a) (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 a) (neg.f64 (*.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 a) (*.f64 (neg.f64 b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 a) (*.f64 b -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 a b) 3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 a b)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (neg.f64 a)) (*.f64 (neg.f64 b) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 a) 1) (*.f64 -3 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a -1) (*.f64 3 (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 a) -1) (*.f64 -3 (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a 1/3) (sqrt.f64 b)) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a 1/3) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a 1/3) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 a) (/.f64 1 b)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 b) (neg.f64 a)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a 1/3) -1) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 a b) 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 a b) 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 a b) 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 a b) 3) 27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 a b) 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (cbrt.f64 (exp.f64 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 a b) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 a b) 3) 27))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 a b) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 a b) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 a b) 1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 a b) 1/3)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (/.f64 (*.f64 a -1/3) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 (/.f64 (*.f64 a -1/3) b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (+.f64 (/.f64 (*.f64 a -1/3) b) (+.f64 (/.f64 (*.f64 a -1/3) b) (*.f64 (/.f64 a b) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (*.f64 a -1/3) b)) (+.f64 (/.f64 (*.f64 a -1/3) b) (*.f64 (/.f64 a b) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (*.f64 a -1/3) b)) (fma.f64 (/.f64 (*.f64 a -1/3) b) 1 (*.f64 (/.f64 a b) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (*.f64 a -1/3) b)) (fma.f64 (/.f64 -1 b) (*.f64 a 1/3) (*.f64 (/.f64 a b) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (*.f64 a -1/3) b)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 a b) 1/3))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 a b) 1/3)) 2) (*.f64 (/.f64 a b) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (*.f64 a -1/3) b)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 a b) 1/3))) (sqrt.f64 (*.f64 (/.f64 a b) 1/3)) (*.f64 (/.f64 a b) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (*.f64 a -1/3) b)) (*.f64 (+.f64 (/.f64 (*.f64 a -1/3) b) (*.f64 (/.f64 a b) 1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (*.f64 a -1/3) b)) (+.f64 (+.f64 (/.f64 (*.f64 a -1/3) b) (*.f64 (/.f64 a b) 1/3)) (+.f64 (/.f64 (*.f64 a -1/3) b) (*.f64 (/.f64 a b) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (*.f64 a -1/3) b) (*.f64 (/.f64 a b) 1/3)) (fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (*.f64 a -1/3) b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 a -1/3) b) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (*.f64 a -1/3) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (*.f64 a -1/3) b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (*.f64 a -1/3) b))) (pow.f64 (cbrt.f64 (fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (*.f64 a -1/3) b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (*.f64 a -1/3) b))) 2) (cbrt.f64 (fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (*.f64 a -1/3) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (*.f64 a -1/3) b))) (sqrt.f64 (fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (*.f64 a -1/3) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 8 (pow.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) 3)) (/.f64 (pow.f64 (/.f64 a b) 3) 27)) (/.f64 1 (+.f64 (*.f64 (*.f64 x 4) (pow.f64 (cos.f64 y) 2)) (*.f64 (*.f64 (/.f64 a b) 1/3) (fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 (/.f64 a b) 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (*.f64 x 4) (pow.f64 (cos.f64 y) 2)) (pow.f64 (*.f64 (/.f64 a b) 1/3) 2)) (/.f64 1 (fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 (/.f64 a b) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)))) (sqrt.f64 (*.f64 (/.f64 a b) 1/3))) (-.f64 (sqrt.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)))) (sqrt.f64 (*.f64 (/.f64 a b) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x 4) (pow.f64 (cos.f64 y) 2)) (*.f64 (*.f64 (/.f64 a b) 1/3) (fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 (/.f64 a b) 1/3)))) (-.f64 (*.f64 8 (pow.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) 3)) (/.f64 (pow.f64 (/.f64 a b) 3) 27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 (/.f64 a b) 1/3)) (-.f64 (*.f64 (*.f64 x 4) (pow.f64 (cos.f64 y) 2)) (pow.f64 (*.f64 (/.f64 a b) 1/3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 8 (pow.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) 3)) (/.f64 (pow.f64 (/.f64 a b) 3) 27)) (+.f64 (*.f64 (*.f64 x 4) (pow.f64 (cos.f64 y) 2)) (*.f64 (*.f64 (/.f64 a b) 1/3) (fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 (/.f64 a b) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x 4) (pow.f64 (cos.f64 y) 2)) (pow.f64 (*.f64 (/.f64 a b) 1/3) 2)) (fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 (/.f64 a b) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 8 (pow.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) 3)) (/.f64 (pow.f64 (/.f64 a b) 3) 27))) (neg.f64 (+.f64 (*.f64 (*.f64 x 4) (pow.f64 (cos.f64 y) 2)) (*.f64 (*.f64 (/.f64 a b) 1/3) (fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 (/.f64 a b) 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x 4) (pow.f64 (cos.f64 y) 2)) (pow.f64 (*.f64 (/.f64 a b) 1/3) 2))) (neg.f64 (fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 (/.f64 a b) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 8 (pow.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) 3)) (pow.f64 (/.f64 (*.f64 a -1/3) b) 3)) (+.f64 (*.f64 (*.f64 x 4) (pow.f64 (cos.f64 y) 2)) (-.f64 (*.f64 (/.f64 (*.f64 a -1/3) b) (/.f64 (*.f64 a -1/3) b)) (*.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (/.f64 (*.f64 a -1/3) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (*.f64 a -1/3) b)) 3) (pow.f64 (+.f64 (/.f64 (*.f64 a -1/3) b) (*.f64 (/.f64 a b) 1/3)) 3)) (+.f64 (pow.f64 (fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (*.f64 a -1/3) b)) 2) (-.f64 (*.f64 (+.f64 (/.f64 (*.f64 a -1/3) b) (*.f64 (/.f64 a b) 1/3)) (+.f64 (/.f64 (*.f64 a -1/3) b) (*.f64 (/.f64 a b) 1/3))) (*.f64 (fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (*.f64 a -1/3) b)) (+.f64 (/.f64 (*.f64 a -1/3) b) (*.f64 (/.f64 a b) 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x 4) (pow.f64 (cos.f64 y) 2)) (*.f64 (/.f64 (*.f64 a -1/3) b) (/.f64 (*.f64 a -1/3) b))) (-.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (/.f64 (*.f64 a -1/3) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (*.f64 a -1/3) b)) 2) (*.f64 (+.f64 (/.f64 (*.f64 a -1/3) b) (*.f64 (/.f64 a b) 1/3)) (+.f64 (/.f64 (*.f64 a -1/3) b) (*.f64 (/.f64 a b) 1/3)))) (-.f64 (fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (*.f64 a -1/3) b)) (+.f64 (/.f64 (*.f64 a -1/3) b) (*.f64 (/.f64 a b) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (*.f64 a -1/3) b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (*.f64 a -1/3) b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (*.f64 a -1/3) b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (*.f64 a -1/3) b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (*.f64 a -1/3) b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (*.f64 a -1/3) b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (*.f64 a -1/3) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (*.f64 a -1/3) b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (*.f64 a -1/3) b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))) (/.f64 (*.f64 a -1/3) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (*.f64 a -1/3) b)) (+.f64 (/.f64 (*.f64 a -1/3) b) (*.f64 (/.f64 a b) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (*.f64 a -1/3) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y) (/.f64 (*.f64 a -1/3) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 y) (*.f64 2 (sqrt.f64 x)) (/.f64 (*.f64 a -1/3) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 x 4) (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)))) (/.f64 (*.f64 a -1/3) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (*.f64 a -1/3) b))) 2) (cbrt.f64 (fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (*.f64 a -1/3) b))) (+.f64 (/.f64 (*.f64 a -1/3) b) (*.f64 (/.f64 a b) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)))) (sqrt.f64 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)))) (/.f64 (*.f64 a -1/3) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (*.f64 a -1/3) b))) (sqrt.f64 (fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (*.f64 a -1/3) b))) (+.f64 (/.f64 (*.f64 a -1/3) b) (*.f64 (/.f64 a b) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (*.f64 a -1/3) b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (*.f64 a -1/3) b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (*.f64 a -1/3) b))))))))

simplify49.0ms (0.4%)

Algorithm
egg-herbie
Rules
482×fma-def_binary64
371×cancel-sign-sub-inv_binary64
368×associate-*l*_binary64
300×fma-neg_binary64
293×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
037872
199809
2269797
3883790
43888790
Stop Event
node limit
Counts
156 → 110
Calls
Call 1
Inputs
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(-.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 2 (sqrt.f64 x)) (+.f64 (*.f64 (pow.f64 y 2) (sqrt.f64 x)) (*.f64 1/3 (/.f64 a b))))
(-.f64 (+.f64 (*.f64 1/12 (*.f64 (pow.f64 y 4) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x))) (+.f64 (*.f64 (pow.f64 y 2) (sqrt.f64 x)) (*.f64 1/3 (/.f64 a b))))
(-.f64 (+.f64 (*.f64 1/12 (*.f64 (pow.f64 y 4) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x))) (+.f64 (*.f64 (pow.f64 y 2) (sqrt.f64 x)) (+.f64 (*.f64 1/3 (/.f64 a b)) (*.f64 1/360 (*.f64 (pow.f64 y 6) (sqrt.f64 x))))))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(*.f64 -1/3 (/.f64 a b))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(*.f64 -1/3 (/.f64 a b))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(*.f64 -1/3 (/.f64 a b))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
Outputs
(*.f64 1/3 (/.f64 a b))
(/.f64 a (/.f64 b 1/3))
(*.f64 1/3 (/.f64 a b))
(/.f64 a (/.f64 b 1/3))
(*.f64 1/3 (/.f64 a b))
(/.f64 a (/.f64 b 1/3))
(*.f64 1/3 (/.f64 a b))
(/.f64 a (/.f64 b 1/3))
(*.f64 1/3 (/.f64 a b))
(/.f64 a (/.f64 b 1/3))
(*.f64 1/3 (/.f64 a b))
(/.f64 a (/.f64 b 1/3))
(*.f64 1/3 (/.f64 a b))
(/.f64 a (/.f64 b 1/3))
(*.f64 1/3 (/.f64 a b))
(/.f64 a (/.f64 b 1/3))
(*.f64 1/3 (/.f64 a b))
(/.f64 a (/.f64 b 1/3))
(*.f64 1/3 (/.f64 a b))
(/.f64 a (/.f64 b 1/3))
(*.f64 1/3 (/.f64 a b))
(/.f64 a (/.f64 b 1/3))
(*.f64 1/3 (/.f64 a b))
(/.f64 a (/.f64 b 1/3))
(*.f64 1/3 (/.f64 a b))
(/.f64 a (/.f64 b 1/3))
(*.f64 1/3 (/.f64 a b))
(/.f64 a (/.f64 b 1/3))
(*.f64 1/3 (/.f64 a b))
(/.f64 a (/.f64 b 1/3))
(*.f64 1/3 (/.f64 a b))
(/.f64 a (/.f64 b 1/3))
(*.f64 1/3 (/.f64 a b))
(/.f64 a (/.f64 b 1/3))
(*.f64 1/3 (/.f64 a b))
(/.f64 a (/.f64 b 1/3))
(*.f64 1/3 (/.f64 a b))
(/.f64 a (/.f64 b 1/3))
(*.f64 1/3 (/.f64 a b))
(/.f64 a (/.f64 b 1/3))
(*.f64 1/3 (/.f64 a b))
(/.f64 a (/.f64 b 1/3))
(*.f64 1/3 (/.f64 a b))
(/.f64 a (/.f64 b 1/3))
(*.f64 1/3 (/.f64 a b))
(/.f64 a (/.f64 b 1/3))
(*.f64 1/3 (/.f64 a b))
(/.f64 a (/.f64 b 1/3))
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 a b) -1/3)
(*.f64 a (/.f64 -1/3 b))
(-.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 (/.f64 a b) -1/3))
(fma.f64 2 (sqrt.f64 x) (*.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (*.f64 2 (sqrt.f64 x)))
(-.f64 (*.f64 2 (sqrt.f64 x)) (+.f64 (*.f64 (pow.f64 y 2) (sqrt.f64 x)) (*.f64 1/3 (/.f64 a b))))
(-.f64 (*.f64 2 (sqrt.f64 x)) (fma.f64 (*.f64 y y) (sqrt.f64 x) (*.f64 1/3 (/.f64 a b))))
(+.f64 (*.f64 (sqrt.f64 x) (-.f64 2 (*.f64 y y))) (*.f64 (/.f64 a b) -1/3))
(fma.f64 (sqrt.f64 x) (-.f64 2 (*.f64 y y)) (*.f64 (/.f64 a b) -1/3))
(fma.f64 (sqrt.f64 x) (-.f64 2 (*.f64 y y)) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 (/.f64 a b) -1/3 (*.f64 (sqrt.f64 x) (-.f64 2 (*.f64 y y))))
(-.f64 (+.f64 (*.f64 1/12 (*.f64 (pow.f64 y 4) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x))) (+.f64 (*.f64 (pow.f64 y 2) (sqrt.f64 x)) (*.f64 1/3 (/.f64 a b))))
(-.f64 (fma.f64 1/12 (*.f64 (sqrt.f64 x) (pow.f64 y 4)) (*.f64 2 (sqrt.f64 x))) (fma.f64 (*.f64 y y) (sqrt.f64 x) (*.f64 1/3 (/.f64 a b))))
(-.f64 (*.f64 (sqrt.f64 x) (+.f64 2 (*.f64 1/12 (pow.f64 y 4)))) (fma.f64 1/3 (/.f64 a b) (*.f64 (sqrt.f64 x) (*.f64 y y))))
(+.f64 (*.f64 (/.f64 a b) -1/3) (*.f64 (sqrt.f64 x) (-.f64 (fma.f64 1/12 (pow.f64 y 4) 2) (*.f64 y y))))
(fma.f64 (/.f64 a b) -1/3 (*.f64 (sqrt.f64 x) (fma.f64 1/12 (pow.f64 y 4) (-.f64 2 (*.f64 y y)))))
(-.f64 (+.f64 (*.f64 1/12 (*.f64 (pow.f64 y 4) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x))) (+.f64 (*.f64 (pow.f64 y 2) (sqrt.f64 x)) (+.f64 (*.f64 1/3 (/.f64 a b)) (*.f64 1/360 (*.f64 (pow.f64 y 6) (sqrt.f64 x))))))
(-.f64 (fma.f64 1/12 (*.f64 (sqrt.f64 x) (pow.f64 y 4)) (*.f64 2 (sqrt.f64 x))) (fma.f64 (*.f64 y y) (sqrt.f64 x) (fma.f64 1/3 (/.f64 a b) (*.f64 (*.f64 1/360 (pow.f64 y 6)) (sqrt.f64 x)))))
(fma.f64 1/12 (*.f64 (sqrt.f64 x) (pow.f64 y 4)) (-.f64 (*.f64 (sqrt.f64 x) (-.f64 2 (*.f64 y y))) (fma.f64 1/3 (/.f64 a b) (*.f64 (sqrt.f64 x) (*.f64 1/360 (pow.f64 y 6))))))
(-.f64 (*.f64 (sqrt.f64 x) (fma.f64 1/12 (pow.f64 y 4) 2)) (fma.f64 1/3 (/.f64 a b) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 y y) (*.f64 1/360 (pow.f64 y 6))))))
(+.f64 (*.f64 a (/.f64 -1/3 b)) (*.f64 (sqrt.f64 x) (-.f64 (fma.f64 1/12 (pow.f64 y 4) 2) (fma.f64 1/360 (pow.f64 y 6) (*.f64 y y)))))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x)) (*.f64 1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 (/.f64 a b) -1/3 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x)) (*.f64 1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 (/.f64 a b) -1/3 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x)) (*.f64 1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 (/.f64 a b) -1/3 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x)) (*.f64 1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 (/.f64 a b) -1/3 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x)) (*.f64 1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 (/.f64 a b) -1/3 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x)) (*.f64 1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 (/.f64 a b) -1/3 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x)) (*.f64 1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 (/.f64 a b) -1/3 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x)) (*.f64 1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 (/.f64 a b) -1/3 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 a b) -1/3)
(*.f64 a (/.f64 -1/3 b))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x)) (*.f64 1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 (/.f64 a b) -1/3 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x)) (*.f64 1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 (/.f64 a b) -1/3 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x)) (*.f64 1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 (/.f64 a b) -1/3 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))
(*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))
(*.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x))
(*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)))
(*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x)) (*.f64 1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 (/.f64 a b) -1/3 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x)) (*.f64 1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 (/.f64 a b) -1/3 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x)) (*.f64 1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 (/.f64 a b) -1/3 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))
(*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))
(*.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x))
(*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)))
(*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x)) (*.f64 1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 (/.f64 a b) -1/3 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x)) (*.f64 1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 (/.f64 a b) -1/3 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x)) (*.f64 1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 (/.f64 a b) -1/3 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))
(*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))
(*.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x))
(*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)))
(*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y)))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x)) (*.f64 1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 (/.f64 a b) -1/3 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x)) (*.f64 1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 (/.f64 a b) -1/3 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x)) (*.f64 1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 (/.f64 a b) -1/3 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 a b) -1/3)
(*.f64 a (/.f64 -1/3 b))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x)) (*.f64 1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 (/.f64 a b) -1/3 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x)) (*.f64 1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 (/.f64 a b) -1/3 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x)) (*.f64 1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 (/.f64 a b) -1/3 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))
(*.f64 -1/3 (/.f64 a b))
(*.f64 (/.f64 a b) -1/3)
(*.f64 a (/.f64 -1/3 b))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x)) (*.f64 1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 (/.f64 a b) -1/3 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x)) (*.f64 1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 (/.f64 a b) -1/3 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))
(-.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 1/3 (/.f64 a b)))
(-.f64 (*.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x)) (*.f64 1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 (/.f64 a b) -1/3))
(fma.f64 (/.f64 a b) -1/3 (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 (/.f64 a b) -1/3 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))

prune264.0ms (2.4%)

Pruning

28 alts after pruning (27 fresh and 1 done)

PrunedKeptTotal
New1311132
Fresh12627
Picked011
Done000
Total13228160
Error
13.6b
Counts
160 → 28
Alt Table
StatusErrorProgram
25.0b
(-.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))) 3)) (/.f64 a (*.f64 b 3)))
24.7b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (sqrt.f64 (*.f64 (pow.f64 (*.f64 z t) 2) 1/9))))) (/.f64 a (*.f64 b 3)))
35.6b
(*.f64 -1/3 (/.f64 a b))
41.7b
(sqrt.f64 (pow.f64 (fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (*.f64 a -1/3) b)) 2))
28.8b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (*.f64 1/3 (*.f64 t z)))) (/.f64 a (*.f64 b 3)))
16.4b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)) (pow.f64 (/.f64 3 (/.f64 a b)) -1))
35.1b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (+.f64 (cos.f64 y) (*.f64 1/3 (*.f64 (sin.f64 y) (*.f64 t z)))) (*.f64 1/18 (*.f64 (cos.f64 y) (*.f64 (pow.f64 t 2) (pow.f64 z 2)))))) (/.f64 a (*.f64 b 3)))
21.4b
(-.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (+.f64 y (*.f64 (*.f64 z t) -1/3))) (sqrt.f64 (*.f64 x 4)))) 3) (/.f64 a (*.f64 b 3)))
26.4b
(-.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)))
16.2b
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 x 4))) (*.f64 a (neg.f64 (/.f64 1/3 b))))
20.9b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 z t)) -1)))) (/.f64 a (*.f64 b 3)))
24.3b
(-.f64 (+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 2/3 (*.f64 (*.f64 (sin.f64 y) (*.f64 t z)) (sqrt.f64 x)))) (/.f64 a (*.f64 b 3)))
16.1b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1 b) (/.f64 a 3)))
16.3b
(fma.f64 (cbrt.f64 (*.f64 x 4)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 4))) (cos.f64 y)) (*.f64 a (neg.f64 (/.f64 1/3 b))))
20.7b
(-.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)))
21.2b
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (*.f64 t -1/3) y))) (*.f64 a (/.f64 -1/3 b)))
20.4b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (*.f64 t 1/3)))) 3) (pow.f64 (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (*.f64 t 1/3)))) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (*.f64 t 1/3)))) (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (*.f64 t 1/3))))) (-.f64 (*.f64 (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (*.f64 t 1/3)))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (*.f64 t 1/3))))) (*.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (*.f64 t 1/3)))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (*.f64 t 1/3))))))))) (/.f64 a (*.f64 b 3)))
29.9b
(-.f64 (exp.f64 (log.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))) (/.f64 a (*.f64 b 3)))
20.8b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (*.f64 t (*.f64 z 1/3))))) (/.f64 a (*.f64 b 3)))
21.1b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 y (*.f64 (*.f64 z t) -1/3))) 3))) (/.f64 a (*.f64 b 3)))
34.2b
(-.f64 (pow.f64 (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))) 3) 1/3) (/.f64 a (*.f64 b 3)))
26.0b
(-.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 (+.f64 y (*.f64 (*.f64 z t) -1/3))) 2) (*.f64 x 4))) (/.f64 a (*.f64 b 3)))
24.0b
(-.f64 (*.f64 2 (sqrt.f64 x)) (/.f64 a (*.f64 b 3)))
20.4b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (*.f64 t 1/3)))) (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (*.f64 t 1/3))))) (*.f64 (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (*.f64 t 1/3)))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (*.f64 t 1/3)))))) (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (*.f64 t 1/3)))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (*.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
37.9b
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))) 3) (pow.f64 (*.f64 a (/.f64 1/3 b)) 3)) (fma.f64 (*.f64 a (/.f64 1/3 b)) (fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 1/3 b))) (*.f64 (*.f64 x 4) (pow.f64 (cos.f64 y) 2))))
37.5b
(-.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)))
21.1b
(-.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)))
21.0b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (*.f64 z (/.f64 1 (/.f64 3 t)))))) (/.f64 a (*.f64 b 3)))
Compiler

Compiled 4394 to 2765 computations (37.1% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 x 4)))
0.2b
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
0.3b
(cbrt.f64 (cos.f64 y))
0.3b
(/.f64 1/3 b)

series12.0ms (0.1%)

Counts
4 → 36
Calls

15 calls:

TimeVariablePointExpression
2.0ms
y
@inf
(cbrt.f64 (cos.f64 y))
2.0ms
x
@0
(*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 x 4)))
1.0ms
y
@-inf
(cbrt.f64 (cos.f64 y))
1.0ms
x
@inf
(*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 x 4)))
1.0ms
y
@inf
(*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 x 4)))

rewrite52.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
581×log-prod_binary64
227×expm1-udef_binary64
227×log1p-udef_binary64
196×log-pow_binary64
133×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01430
128530
2312130
Stop Event
node limit
Counts
4 → 90
Calls
Call 1
Inputs
(/.f64 1/3 b)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 x 4)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/3 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1/3 b))) (cbrt.f64 (exp.f64 (/.f64 1/3 b))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/3 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/3 b)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/3 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/3 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/3 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/3 b)) (pow.f64 (cbrt.f64 (/.f64 1/3 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 b)) 2) (cbrt.f64 (/.f64 1/3 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/3 b)) (sqrt.f64 (/.f64 1/3 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (/.f64 1 (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 b) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/3 b) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/3 b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/3 b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/9 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/3 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/3 b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/3 b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/3 b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/3 b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/3 b)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (cos.f64 y)))) (cbrt.f64 (exp.f64 (cbrt.f64 (cos.f64 y)))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (cos.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 y) 1/6) (pow.f64 (cos.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3) (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 y) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 y) 1/6) (*.f64 (pow.f64 (cos.f64 y) 1/6) (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2/3 (log.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 (cos.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cbrt.f64 (cos.f64 y)) (*.f64 2 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) 2) (cbrt.f64 (cos.f64 y)))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) 2) (cbrt.f64 (cos.f64 y)))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) 2) (cbrt.f64 (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) 2) (cbrt.f64 (cos.f64 y))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) 2) (cbrt.f64 (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (*.f64 2 (sqrt.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (*.f64 2 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (*.f64 2 (sqrt.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (*.f64 2 (sqrt.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x 4) 1/4) (pow.f64 (cos.f64 y) 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) 2) (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (*.f64 2 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (*.f64 2 (sqrt.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (cos.f64 y) (pow.f64 (*.f64 x 4) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x 4) 3/2) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (*.f64 2 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (*.f64 2 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (*.f64 2 (sqrt.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (*.f64 2 (sqrt.f64 x)))))))))

simplify39.0ms (0.3%)

Algorithm
egg-herbie
Rules
481×fma-neg_binary64
442×sub-neg_binary64
295×*-commutative_binary64
241×distribute-rgt-neg-in_binary64
236×distribute-lft-neg-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
057414
1161400
2465382
31831382
44558382
Stop Event
node limit
Counts
126 → 114
Calls
Call 1
Inputs
1
(-.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(-.f64 1 (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 1/72 (pow.f64 y 4))))
(-.f64 1 (+.f64 (*.f64 1/6 (pow.f64 y 2)) (+.f64 (*.f64 1/72 (pow.f64 y 4)) (*.f64 23/6480 (pow.f64 y 6)))))
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
1
(-.f64 1 (*.f64 1/3 (pow.f64 y 2)))
(-.f64 1 (+.f64 (*.f64 1/3 (pow.f64 y 2)) (*.f64 1/405 (pow.f64 y 6))))
(-.f64 1 (+.f64 (*.f64 1/1701 (pow.f64 y 8)) (+.f64 (*.f64 1/3 (pow.f64 y 2)) (*.f64 1/405 (pow.f64 y 6)))))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(*.f64 2 (sqrt.f64 x))
(-.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 1/3 (*.f64 (pow.f64 y 2) (sqrt.f64 x))))
(-.f64 (*.f64 2 (sqrt.f64 x)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 y 2) (sqrt.f64 x))) (*.f64 1/36 (*.f64 (pow.f64 y 4) (sqrt.f64 x)))))
(-.f64 (*.f64 2 (sqrt.f64 x)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (*.f64 1/36 (*.f64 (pow.f64 y 4) (sqrt.f64 x))) (*.f64 23/3240 (*.f64 (pow.f64 y 6) (sqrt.f64 x))))))
(*.f64 2 (*.f64 (pow.f64 (cos.f64 y) 1/3) (sqrt.f64 x)))
(*.f64 2 (*.f64 (pow.f64 (cos.f64 y) 1/3) (sqrt.f64 x)))
(*.f64 2 (*.f64 (pow.f64 (cos.f64 y) 1/3) (sqrt.f64 x)))
(*.f64 2 (*.f64 (pow.f64 (cos.f64 y) 1/3) (sqrt.f64 x)))
(*.f64 2 (*.f64 (pow.f64 (cos.f64 y) 1/3) (sqrt.f64 x)))
(*.f64 2 (*.f64 (pow.f64 (cos.f64 y) 1/3) (sqrt.f64 x)))
(*.f64 2 (*.f64 (pow.f64 (cos.f64 y) 1/3) (sqrt.f64 x)))
(*.f64 2 (*.f64 (pow.f64 (cos.f64 y) 1/3) (sqrt.f64 x)))
Outputs
1
(-.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (*.f64 y y)))
(+.f64 1 (*.f64 (*.f64 y y) -1/6))
(fma.f64 (*.f64 y y) -1/6 1)
(-.f64 1 (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 1/72 (pow.f64 y 4))))
(-.f64 1 (fma.f64 1/6 (*.f64 y y) (*.f64 1/72 (pow.f64 y 4))))
(+.f64 (fma.f64 (*.f64 y y) -1/6 1) (*.f64 (pow.f64 y 4) -1/72))
(-.f64 1 (+.f64 (*.f64 1/6 (pow.f64 y 2)) (+.f64 (*.f64 1/72 (pow.f64 y 4)) (*.f64 23/6480 (pow.f64 y 6)))))
(-.f64 1 (fma.f64 1/6 (*.f64 y y) (fma.f64 1/72 (pow.f64 y 4) (*.f64 23/6480 (pow.f64 y 6)))))
(-.f64 1 (fma.f64 1/6 (*.f64 y y) (fma.f64 23/6480 (pow.f64 y 6) (*.f64 1/72 (pow.f64 y 4)))))
(-.f64 (fma.f64 (*.f64 y y) -1/6 1) (fma.f64 1/72 (pow.f64 y 4) (*.f64 23/6480 (pow.f64 y 6))))
(+.f64 1 (fma.f64 y (*.f64 y -1/6) (fma.f64 (pow.f64 y 4) -1/72 (*.f64 (pow.f64 y 6) -23/6480))))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
1
(-.f64 1 (*.f64 1/3 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/3 (*.f64 y y)))
(-.f64 1 (*.f64 (*.f64 y y) 1/3))
(fma.f64 (*.f64 y y) -1/3 1)
(fma.f64 (*.f64 y -1/3) y 1)
(-.f64 1 (+.f64 (*.f64 1/3 (pow.f64 y 2)) (*.f64 1/405 (pow.f64 y 6))))
(-.f64 1 (fma.f64 1/3 (*.f64 y y) (*.f64 (pow.f64 y 6) 1/405)))
(-.f64 1 (fma.f64 (*.f64 y y) 1/3 (*.f64 (pow.f64 y 6) 1/405)))
(+.f64 1 (fma.f64 (*.f64 y y) -1/3 (*.f64 (pow.f64 y 6) -1/405)))
(+.f64 1 (fma.f64 y (*.f64 y -1/3) (*.f64 (pow.f64 y 6) -1/405)))
(-.f64 1 (+.f64 (*.f64 1/1701 (pow.f64 y 8)) (+.f64 (*.f64 1/3 (pow.f64 y 2)) (*.f64 1/405 (pow.f64 y 6)))))
(-.f64 1 (fma.f64 1/1701 (pow.f64 y 8) (fma.f64 1/3 (*.f64 y y) (*.f64 (pow.f64 y 6) 1/405))))
(-.f64 1 (fma.f64 1/1701 (pow.f64 y 8) (fma.f64 (*.f64 y y) 1/3 (*.f64 (pow.f64 y 6) 1/405))))
(-.f64 1 (fma.f64 y (*.f64 y 1/3) (fma.f64 1/1701 (pow.f64 y 8) (*.f64 (pow.f64 y 6) 1/405))))
(+.f64 1 (fma.f64 (pow.f64 y 8) -1/1701 (fma.f64 y (*.f64 y -1/3) (*.f64 (pow.f64 y 6) -1/405))))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(*.f64 2 (sqrt.f64 x))
(-.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 1/3 (*.f64 (pow.f64 y 2) (sqrt.f64 x))))
(+.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 -1/3 (*.f64 (*.f64 y y) (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (-.f64 2 (*.f64 (*.f64 y y) 1/3)))
(*.f64 (sqrt.f64 x) (+.f64 2 (*.f64 y (*.f64 y -1/3))))
(-.f64 (*.f64 2 (sqrt.f64 x)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 y 2) (sqrt.f64 x))) (*.f64 1/36 (*.f64 (pow.f64 y 4) (sqrt.f64 x)))))
(-.f64 (*.f64 2 (sqrt.f64 x)) (fma.f64 1/3 (*.f64 (*.f64 y y) (sqrt.f64 x)) (*.f64 1/36 (*.f64 (pow.f64 y 4) (sqrt.f64 x)))))
(+.f64 (*.f64 (sqrt.f64 x) (-.f64 2 (*.f64 (*.f64 y y) 1/3))) (*.f64 -1/36 (*.f64 (pow.f64 y 4) (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (-.f64 2 (fma.f64 y (*.f64 y 1/3) (*.f64 (pow.f64 y 4) 1/36))))
(-.f64 (*.f64 2 (sqrt.f64 x)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (*.f64 1/36 (*.f64 (pow.f64 y 4) (sqrt.f64 x))) (*.f64 23/3240 (*.f64 (pow.f64 y 6) (sqrt.f64 x))))))
(-.f64 (*.f64 2 (sqrt.f64 x)) (fma.f64 1/3 (*.f64 (*.f64 y y) (sqrt.f64 x)) (fma.f64 1/36 (*.f64 (pow.f64 y 4) (sqrt.f64 x)) (*.f64 23/3240 (*.f64 (pow.f64 y 6) (sqrt.f64 x))))))
(-.f64 (*.f64 (sqrt.f64 x) (-.f64 2 (*.f64 (*.f64 y y) 1/3))) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 (pow.f64 y 4) 1/36) (*.f64 (pow.f64 y 6) 23/3240))))
(*.f64 (sqrt.f64 x) (-.f64 (+.f64 2 (*.f64 y (*.f64 y -1/3))) (fma.f64 (pow.f64 y 4) 1/36 (*.f64 (pow.f64 y 6) 23/3240))))
(*.f64 (sqrt.f64 x) (+.f64 2 (-.f64 (*.f64 y (*.f64 y -1/3)) (fma.f64 (pow.f64 y 4) 1/36 (*.f64 (pow.f64 y 6) 23/3240)))))
(*.f64 2 (*.f64 (pow.f64 (cos.f64 y) 1/3) (sqrt.f64 x)))
(*.f64 2 (*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (cos.f64 y)) (*.f64 2 (sqrt.f64 x)))
(*.f64 2 (*.f64 (pow.f64 (cos.f64 y) 1/3) (sqrt.f64 x)))
(*.f64 2 (*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (cos.f64 y)) (*.f64 2 (sqrt.f64 x)))
(*.f64 2 (*.f64 (pow.f64 (cos.f64 y) 1/3) (sqrt.f64 x)))
(*.f64 2 (*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (cos.f64 y)) (*.f64 2 (sqrt.f64 x)))
(*.f64 2 (*.f64 (pow.f64 (cos.f64 y) 1/3) (sqrt.f64 x)))
(*.f64 2 (*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (cos.f64 y)) (*.f64 2 (sqrt.f64 x)))
(*.f64 2 (*.f64 (pow.f64 (cos.f64 y) 1/3) (sqrt.f64 x)))
(*.f64 2 (*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (cos.f64 y)) (*.f64 2 (sqrt.f64 x)))
(*.f64 2 (*.f64 (pow.f64 (cos.f64 y) 1/3) (sqrt.f64 x)))
(*.f64 2 (*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (cos.f64 y)) (*.f64 2 (sqrt.f64 x)))
(*.f64 2 (*.f64 (pow.f64 (cos.f64 y) 1/3) (sqrt.f64 x)))
(*.f64 2 (*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (cos.f64 y)) (*.f64 2 (sqrt.f64 x)))
(*.f64 2 (*.f64 (pow.f64 (cos.f64 y) 1/3) (sqrt.f64 x)))
(*.f64 2 (*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (cos.f64 y)) (*.f64 2 (sqrt.f64 x)))

prune354.0ms (3.2%)

Pruning

32 alts after pruning (31 fresh and 1 done)

PrunedKeptTotal
New1417148
Fresh22426
Picked101
Done011
Total14432176
Error
13.6b
Counts
176 → 32
Alt Table
StatusErrorProgram
25.0b
(-.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))) 3)) (/.f64 a (*.f64 b 3)))
24.7b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (sqrt.f64 (*.f64 (pow.f64 (*.f64 z t) 2) 1/9))))) (/.f64 a (*.f64 b 3)))
16.3b
(fma.f64 (pow.f64 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (cos.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (cos.f64 y)))))) 2) (*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 x 4))) (*.f64 a (neg.f64 (/.f64 1/3 b))))
35.6b
(*.f64 -1/3 (/.f64 a b))
41.7b
(sqrt.f64 (pow.f64 (fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 (*.f64 a -1/3) b)) 2))
28.8b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (*.f64 1/3 (*.f64 t z)))) (/.f64 a (*.f64 b 3)))
16.4b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)) (pow.f64 (/.f64 3 (/.f64 a b)) -1))
35.1b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (+.f64 (cos.f64 y) (*.f64 1/3 (*.f64 (sin.f64 y) (*.f64 t z)))) (*.f64 1/18 (*.f64 (cos.f64 y) (*.f64 (pow.f64 t 2) (pow.f64 z 2)))))) (/.f64 a (*.f64 b 3)))
21.4b
(-.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (+.f64 y (*.f64 (*.f64 z t) -1/3))) (sqrt.f64 (*.f64 x 4)))) 3) (/.f64 a (*.f64 b 3)))
22.7b
(fma.f64 (pow.f64 1 2) (*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 x 4))) (*.f64 a (neg.f64 (/.f64 1/3 b))))
20.4b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (*.f64 t 1/3)))) (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (*.f64 t 1/3))))) (*.f64 (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (*.f64 t 1/3)))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (*.f64 t 1/3)))))) (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (*.f64 t 1/3)))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (*.f64 t 1/3))))))) (/.f64 a (*.f64 b 3)))
26.4b
(-.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)))
20.9b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (/.f64 3 (*.f64 z t)) -1)))) (/.f64 a (*.f64 b 3)))
24.3b
(-.f64 (+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 2/3 (*.f64 (*.f64 (sin.f64 y) (*.f64 t z)) (sqrt.f64 x)))) (/.f64 a (*.f64 b 3)))
16.1b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1 b) (/.f64 a 3)))
16.3b
(fma.f64 (cbrt.f64 (*.f64 x 4)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 4))) (cos.f64 y)) (*.f64 a (neg.f64 (/.f64 1/3 b))))
20.7b
(-.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)))
21.2b
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (*.f64 t -1/3) y))) (*.f64 a (/.f64 -1/3 b)))
20.4b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (*.f64 t 1/3)))) 3) (pow.f64 (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (*.f64 t 1/3)))) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (*.f64 t 1/3)))) (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (*.f64 t 1/3))))) (-.f64 (*.f64 (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (*.f64 t 1/3)))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (*.f64 t 1/3))))) (*.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (*.f64 t 1/3)))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (*.f64 t 1/3))))))))) (/.f64 a (*.f64 b 3)))
16.3b
(fma.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) 1) (*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 x 4))) (*.f64 a (neg.f64 (/.f64 1/3 b))))
37.9b
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))) 3) (pow.f64 (*.f64 a (/.f64 1/3 b)) 3)) (fma.f64 (*.f64 a (/.f64 1/3 b)) (fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 a (/.f64 1/3 b))) (*.f64 (*.f64 x 4) (pow.f64 (cos.f64 y) 2))))
29.9b
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (exp.f64 (log.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (*.f64 2 (sqrt.f64 x))))) (*.f64 a (neg.f64 (/.f64 1/3 b))))
37.5b
(-.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)))
16.4b
(fma.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 y)))) 2) (*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 x 4))) (*.f64 a (neg.f64 (/.f64 1/3 b))))
20.8b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (*.f64 t (*.f64 z 1/3))))) (/.f64 a (*.f64 b 3)))
21.1b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 y (*.f64 (*.f64 z t) -1/3))) 3))) (/.f64 a (*.f64 b 3)))
34.2b
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (pow.f64 (pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (*.f64 2 (sqrt.f64 x))) 3) 1/3) (*.f64 a (neg.f64 (/.f64 1/3 b))))
21.0b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (*.f64 z (/.f64 1 (/.f64 3 t)))))) (/.f64 a (*.f64 b 3)))
26.0b
(-.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 (+.f64 y (*.f64 (*.f64 z t) -1/3))) 2) (*.f64 x 4))) (/.f64 a (*.f64 b 3)))
24.0b
(-.f64 (*.f64 2 (sqrt.f64 x)) (/.f64 a (*.f64 b 3)))
21.1b
(-.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)))
25.1b
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (*.f64 (cos.f64 y) (pow.f64 (*.f64 x 4) 3/2))) (*.f64 a (neg.f64 (/.f64 1/3 b))))
Compiler

Compiled 4705 to 2946 computations (37.4% saved)

regimes2.9s (25.8%)

Accuracy

Total 1.6b remaining (10.5%)

Threshold costs 0b (0%)

Counts
186 → 3
Compiler

Compiled 4203 to 2510 computations (40.3% saved)

bsearch2.0ms (0%)

Algorithm
left-value
Calls

2 calls:

0.0ms
(*.f64 z t)
0.0ms
(*.f64 z t)
Steps
ItersPointRange
1.5e+239
∈ [
1.4691032922526334e+239
,
1.802904703125819e+239
]
-6e+104
∈ [
-9.557795787755864e+104
,
-5.815647867994167e+104
]
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify7.0ms (0.1%)

Algorithm
egg-herbie
Rules
16×*-commutative_binary64
11×+-commutative_binary64
11×sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043169
166169
289169
3101169
4109169
5111169
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 z t) -599999999999999937492030790988111045840645313566047673833294806699119762143004211252326069460636125888512) (-.f64 (*.f64 2 (sqrt.f64 x)) (/.f64 a (*.f64 b 3))) (if (<=.f64 (*.f64 z t) 149999999999999992838188130722901571693285024411871167037097627281202840531348134494886133634215614139901608692754897645431697606268583149356667043527130578872163001669982222232679209909084092199224048192046312408829107152002304312009031680) (-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (*.f64 t 1/3)))) (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (*.f64 t 1/3))))) (*.f64 (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (*.f64 t 1/3)))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (*.f64 t 1/3)))))) (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (*.f64 t 1/3)))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (*.f64 t 1/3))))))) (/.f64 a (*.f64 b 3))) (-.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y)))) 3) (/.f64 a (*.f64 b 3)))))
Outputs
(if (<=.f64 (*.f64 z t) -599999999999999937492030790988111045840645313566047673833294806699119762143004211252326069460636125888512) (-.f64 (*.f64 2 (sqrt.f64 x)) (/.f64 a (*.f64 b 3))) (if (<=.f64 (*.f64 z t) 149999999999999992838188130722901571693285024411871167037097627281202840531348134494886133634215614139901608692754897645431697606268583149356667043527130578872163001669982222232679209909084092199224048192046312408829107152002304312009031680) (-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (*.f64 t 1/3)))) (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (*.f64 t 1/3))))) (*.f64 (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (*.f64 t 1/3)))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (*.f64 t 1/3)))))) (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (*.f64 t 1/3)))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (*.f64 t 1/3))))))) (/.f64 a (*.f64 b 3))) (-.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y)))) 3) (/.f64 a (*.f64 b 3)))))

end682.0ms (6.1%)

Stop Event
fuel
Compiler

Compiled 1455 to 1036 computations (28.8% saved)

Profiling

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