Details

Time bar (total: 8.9s)

analyze1.9s (21.4%)

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)

sample4.2s (46.7%)

Results
1.2s1659×body1024valid
966.0ms4694×body128valid
747.0ms746×body2048valid
677.0ms3520×body128invalid
414.0ms788×body512valid
135.0ms368×body256valid
2.0msbody4096valid

preprocess49.0ms (0.6%)

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)

simplify44.0ms (0.5%)

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)))

eval1.0ms (0%)

Compiler

Compiled 42 to 29 computations (31% saved)

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
21.3b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
21.7b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (/.f64 a (*.f64 b 3)))
21.4b
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (*.f64 t -1/3) y))) (*.f64 a (/.f64 -1/3 b)))
Compiler

Compiled 96 to 72 computations (25% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (*.f64 t -1/3) y)))
0.4b
(*.f64 t -1/3)
0.4b
(/.f64 -1/3 b)
24.4b
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))

series18.0ms (0.2%)

Counts
4 → 84
Calls

27 calls:

TimeVariablePointExpression
2.0ms
z
@-inf
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
2.0ms
x
@0
(*.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (*.f64 t -1/3) y)))
1.0ms
z
@0
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
1.0ms
x
@inf
(*.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (*.f64 t -1/3) y)))
1.0ms
y
@0
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))

rewrite59.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
615×log-prod_binary64
236×expm1-udef_binary64
236×log1p-udef_binary64
206×log-pow_binary64
133×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01333
126333
2311333
Stop Event
node limit
Counts
4 → 86
Calls
Call 1
Inputs
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(/.f64 -1/3 b)
(*.f64 t -1/3)
(*.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (*.f64 t -1/3) y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cos.f64 (*.f64 (*.f64 z t) -1/3)) (cos.f64 y) (neg.f64 (*.f64 (sin.f64 y) (sin.f64 (*.f64 (*.f64 z t) -1/3))))) (fma.f64 (neg.f64 (sin.f64 y)) (sin.f64 (*.f64 (*.f64 z t) -1/3)) (*.f64 (sin.f64 y) (sin.f64 (*.f64 (*.f64 z t) -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 z (*.f64 t -1/3) y)))) (cos.f64 1)) (*.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 z (*.f64 t -1/3) y)))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)))) (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (*.f64 (*.f64 z t) -1/3)) (cos.f64 y)) (*.f64 (sin.f64 (*.f64 (*.f64 z t) -1/3)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 (*.f64 z t) -1/3))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 (*.f64 z t) -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (*.f64 (*.f64 (*.f64 z t) -1/3) 1)) (cos.f64 y)) (*.f64 (sin.f64 (*.f64 (*.f64 (*.f64 z t) -1/3) 1)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y))) 2) (cbrt.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y))) (sqrt.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 (*.f64 (*.f64 z t) -1/3)) (cos.f64 y) (neg.f64 (*.f64 (sin.f64 (*.f64 (*.f64 z t) -1/3)) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -1/3 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 -1/3 b))) (cbrt.f64 (exp.f64 (/.f64 -1/3 b))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1/3 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/3 b)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/3 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -1/3 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (pow.f64 b -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/3 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1/3 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -1/3 b)) (cbrt.f64 (/.f64 1/9 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/9 (*.f64 b b))) (cbrt.f64 (/.f64 -1/3 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1/3 b)) (sqrt.f64 (/.f64 -1/3 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 1 (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b -1) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1/3 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1/3 b) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1/3 b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1/3 b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b -3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/9 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1/3 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1/3 b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1/3 b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -1/3 b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1/3 b)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1/3 b)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 t -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) t)) (cbrt.f64 (pow.f64 (exp.f64 -1/3) t)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) t))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) t))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 t -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 t -1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 t -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 t -1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 t t) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/3) t))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 t -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 t -1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 t -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 t -1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 t -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 t -1/3)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y))) (sqrt.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y))) (sqrt.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y))) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y))) (sqrt.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y))) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (pow.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) 3) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x))))))))

simplify55.0ms (0.6%)

Algorithm
egg-herbie
Rules
649×associate-*l*_binary64
627×fma-def_binary64
516×associate-*r*_binary64
216×*-commutative_binary64
209×distribute-rgt-out_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0851492
12511396
27901330
334871310
Stop Event
node limit
Counts
170 → 124
Calls
Call 1
Inputs
(cos.f64 y)
(+.f64 (cos.f64 y) (*.f64 1/3 (*.f64 t (*.f64 z (sin.f64 y)))))
(+.f64 (*.f64 -1/18 (*.f64 (pow.f64 t 2) (*.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (cos.f64 y) (*.f64 1/3 (*.f64 t (*.f64 z (sin.f64 y))))))
(+.f64 (*.f64 -1/162 (*.f64 (pow.f64 t 3) (*.f64 (pow.f64 z 3) (sin.f64 y)))) (+.f64 (*.f64 -1/18 (*.f64 (pow.f64 t 2) (*.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (cos.f64 y) (*.f64 1/3 (*.f64 t (*.f64 z (sin.f64 y)))))))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 y)
(+.f64 (cos.f64 y) (*.f64 1/3 (*.f64 t (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (+.f64 (*.f64 1/3 (*.f64 t (*.f64 z (sin.f64 y)))) (*.f64 -1/18 (*.f64 (pow.f64 t 2) (*.f64 (pow.f64 z 2) (cos.f64 y))))))
(+.f64 (*.f64 -1/162 (*.f64 (pow.f64 t 3) (*.f64 (pow.f64 z 3) (sin.f64 y)))) (+.f64 (cos.f64 y) (+.f64 (*.f64 1/3 (*.f64 t (*.f64 z (sin.f64 y)))) (*.f64 -1/18 (*.f64 (pow.f64 t 2) (*.f64 (pow.f64 z 2) (cos.f64 y)))))))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (*.f64 -1/3 (*.f64 t z)))
(+.f64 (*.f64 -1 (*.f64 y (sin.f64 (*.f64 -1/3 (*.f64 t z))))) (cos.f64 (*.f64 -1/3 (*.f64 t z))))
(+.f64 (*.f64 -1 (*.f64 y (sin.f64 (*.f64 -1/3 (*.f64 t z))))) (+.f64 (cos.f64 (*.f64 -1/3 (*.f64 t z))) (*.f64 -1/2 (*.f64 (pow.f64 y 2) (cos.f64 (*.f64 -1/3 (*.f64 t z)))))))
(+.f64 (*.f64 -1 (*.f64 y (sin.f64 (*.f64 -1/3 (*.f64 t z))))) (+.f64 (cos.f64 (*.f64 -1/3 (*.f64 t z))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (sin.f64 (*.f64 -1/3 (*.f64 t z))))) (*.f64 -1/2 (*.f64 (pow.f64 y 2) (cos.f64 (*.f64 -1/3 (*.f64 t z))))))))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(*.f64 -1/3 t)
(*.f64 -1/3 t)
(*.f64 -1/3 t)
(*.f64 -1/3 t)
(*.f64 -1/3 t)
(*.f64 -1/3 t)
(*.f64 -1/3 t)
(*.f64 -1/3 t)
(*.f64 -1/3 t)
(*.f64 -1/3 t)
(*.f64 -1/3 t)
(*.f64 -1/3 t)
(*.f64 (cos.f64 y) (sqrt.f64 x))
(+.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 1/3 (*.f64 (*.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))))
(+.f64 (*.f64 -1/18 (*.f64 (*.f64 (pow.f64 t 2) (*.f64 (pow.f64 z 2) (cos.f64 y))) (sqrt.f64 x))) (+.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 1/3 (*.f64 (*.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x)))))
(+.f64 (*.f64 -1/18 (*.f64 (*.f64 (pow.f64 t 2) (*.f64 (pow.f64 z 2) (cos.f64 y))) (sqrt.f64 x))) (+.f64 (*.f64 -1/162 (*.f64 (*.f64 (pow.f64 t 3) (*.f64 (pow.f64 z 3) (sin.f64 y))) (sqrt.f64 x))) (+.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 1/3 (*.f64 (*.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))))))
(*.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) (sqrt.f64 x))
(*.f64 (cos.f64 y) (sqrt.f64 x))
(+.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 1/3 (*.f64 (*.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))))
(+.f64 (*.f64 -1/18 (*.f64 (*.f64 (pow.f64 t 2) (*.f64 (pow.f64 z 2) (cos.f64 y))) (sqrt.f64 x))) (+.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 1/3 (*.f64 (*.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x)))))
(+.f64 (*.f64 -1/18 (*.f64 (*.f64 (pow.f64 t 2) (*.f64 (pow.f64 z 2) (cos.f64 y))) (sqrt.f64 x))) (+.f64 (*.f64 -1/162 (*.f64 (*.f64 (pow.f64 t 3) (*.f64 (pow.f64 z 3) (sin.f64 y))) (sqrt.f64 x))) (+.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 1/3 (*.f64 (*.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))))))
(*.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (*.f64 -1/3 (*.f64 t z))) (sqrt.f64 x))
(+.f64 (*.f64 -1 (*.f64 (*.f64 y (sin.f64 (*.f64 -1/3 (*.f64 t z)))) (sqrt.f64 x))) (*.f64 (cos.f64 (*.f64 -1/3 (*.f64 t z))) (sqrt.f64 x)))
(+.f64 (*.f64 -1 (*.f64 (*.f64 y (sin.f64 (*.f64 -1/3 (*.f64 t z)))) (sqrt.f64 x))) (+.f64 (*.f64 (cos.f64 (*.f64 -1/3 (*.f64 t z))) (sqrt.f64 x)) (*.f64 -1/2 (*.f64 (*.f64 (cos.f64 (*.f64 -1/3 (*.f64 t z))) (pow.f64 y 2)) (sqrt.f64 x)))))
(+.f64 (*.f64 -1 (*.f64 (*.f64 y (sin.f64 (*.f64 -1/3 (*.f64 t z)))) (sqrt.f64 x))) (+.f64 (*.f64 1/6 (*.f64 (*.f64 (pow.f64 y 3) (sin.f64 (*.f64 -1/3 (*.f64 t z)))) (sqrt.f64 x))) (+.f64 (*.f64 (cos.f64 (*.f64 -1/3 (*.f64 t z))) (sqrt.f64 x)) (*.f64 -1/2 (*.f64 (*.f64 (cos.f64 (*.f64 -1/3 (*.f64 t z))) (pow.f64 y 2)) (sqrt.f64 x))))))
(*.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) (sqrt.f64 x))
Outputs
(cos.f64 y)
(+.f64 (cos.f64 y) (*.f64 1/3 (*.f64 t (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (*.f64 1/3 (*.f64 (*.f64 t z) (sin.f64 y))))
(fma.f64 1/3 (*.f64 t (*.f64 z (sin.f64 y))) (cos.f64 y))
(fma.f64 (*.f64 t z) (*.f64 1/3 (sin.f64 y)) (cos.f64 y))
(+.f64 (*.f64 -1/18 (*.f64 (pow.f64 t 2) (*.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (cos.f64 y) (*.f64 1/3 (*.f64 t (*.f64 z (sin.f64 y))))))
(+.f64 (cos.f64 y) (fma.f64 1/3 (*.f64 (*.f64 t z) (sin.f64 y)) (*.f64 (*.f64 -1/18 (*.f64 t t)) (*.f64 (cos.f64 y) (*.f64 z z)))))
(fma.f64 (*.f64 -1/18 (*.f64 t t)) (*.f64 (cos.f64 y) (*.f64 z z)) (fma.f64 1/3 (*.f64 t (*.f64 z (sin.f64 y))) (cos.f64 y)))
(fma.f64 1/3 (*.f64 t (*.f64 z (sin.f64 y))) (fma.f64 -1/18 (*.f64 (*.f64 t z) (*.f64 (*.f64 t z) (cos.f64 y))) (cos.f64 y)))
(+.f64 (cos.f64 y) (*.f64 (*.f64 t z) (+.f64 (*.f64 1/3 (sin.f64 y)) (*.f64 (*.f64 t z) (*.f64 (cos.f64 y) -1/18)))))
(+.f64 (*.f64 -1/162 (*.f64 (pow.f64 t 3) (*.f64 (pow.f64 z 3) (sin.f64 y)))) (+.f64 (*.f64 -1/18 (*.f64 (pow.f64 t 2) (*.f64 (cos.f64 y) (pow.f64 z 2)))) (+.f64 (cos.f64 y) (*.f64 1/3 (*.f64 t (*.f64 z (sin.f64 y)))))))
(fma.f64 -1/162 (*.f64 (pow.f64 t 3) (*.f64 (sin.f64 y) (pow.f64 z 3))) (+.f64 (cos.f64 y) (fma.f64 1/3 (*.f64 (*.f64 t z) (sin.f64 y)) (*.f64 (*.f64 -1/18 (*.f64 t t)) (*.f64 (cos.f64 y) (*.f64 z z))))))
(fma.f64 -1/162 (*.f64 (pow.f64 t 3) (*.f64 (sin.f64 y) (pow.f64 z 3))) (fma.f64 (*.f64 -1/18 (*.f64 t t)) (*.f64 (cos.f64 y) (*.f64 z z)) (fma.f64 1/3 (*.f64 t (*.f64 z (sin.f64 y))) (cos.f64 y))))
(+.f64 (fma.f64 -1/18 (*.f64 (*.f64 t z) (*.f64 (*.f64 t z) (cos.f64 y))) (cos.f64 y)) (*.f64 (sin.f64 y) (+.f64 (*.f64 1/3 (*.f64 t z)) (*.f64 -1/162 (*.f64 (pow.f64 t 3) (pow.f64 z 3))))))
(+.f64 (*.f64 (*.f64 t z) (+.f64 (*.f64 1/3 (sin.f64 y)) (*.f64 (*.f64 t z) (*.f64 (cos.f64 y) -1/18)))) (fma.f64 (*.f64 (sin.f64 y) (pow.f64 z 3)) (*.f64 -1/162 (pow.f64 t 3)) (cos.f64 y)))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 y)
(+.f64 (cos.f64 y) (*.f64 1/3 (*.f64 t (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (*.f64 1/3 (*.f64 (*.f64 t z) (sin.f64 y))))
(fma.f64 1/3 (*.f64 t (*.f64 z (sin.f64 y))) (cos.f64 y))
(fma.f64 (*.f64 t z) (*.f64 1/3 (sin.f64 y)) (cos.f64 y))
(+.f64 (cos.f64 y) (+.f64 (*.f64 1/3 (*.f64 t (*.f64 z (sin.f64 y)))) (*.f64 -1/18 (*.f64 (pow.f64 t 2) (*.f64 (pow.f64 z 2) (cos.f64 y))))))
(+.f64 (cos.f64 y) (fma.f64 1/3 (*.f64 (*.f64 t z) (sin.f64 y)) (*.f64 (*.f64 -1/18 (*.f64 t t)) (*.f64 (cos.f64 y) (*.f64 z z)))))
(fma.f64 (*.f64 -1/18 (*.f64 t t)) (*.f64 (cos.f64 y) (*.f64 z z)) (fma.f64 1/3 (*.f64 t (*.f64 z (sin.f64 y))) (cos.f64 y)))
(fma.f64 1/3 (*.f64 t (*.f64 z (sin.f64 y))) (fma.f64 -1/18 (*.f64 (*.f64 t z) (*.f64 (*.f64 t z) (cos.f64 y))) (cos.f64 y)))
(+.f64 (cos.f64 y) (*.f64 (*.f64 t z) (+.f64 (*.f64 1/3 (sin.f64 y)) (*.f64 (*.f64 t z) (*.f64 (cos.f64 y) -1/18)))))
(+.f64 (*.f64 -1/162 (*.f64 (pow.f64 t 3) (*.f64 (pow.f64 z 3) (sin.f64 y)))) (+.f64 (cos.f64 y) (+.f64 (*.f64 1/3 (*.f64 t (*.f64 z (sin.f64 y)))) (*.f64 -1/18 (*.f64 (pow.f64 t 2) (*.f64 (pow.f64 z 2) (cos.f64 y)))))))
(fma.f64 -1/162 (*.f64 (pow.f64 t 3) (*.f64 (sin.f64 y) (pow.f64 z 3))) (+.f64 (cos.f64 y) (fma.f64 1/3 (*.f64 (*.f64 t z) (sin.f64 y)) (*.f64 (*.f64 -1/18 (*.f64 t t)) (*.f64 (cos.f64 y) (*.f64 z z))))))
(fma.f64 -1/162 (*.f64 (pow.f64 t 3) (*.f64 (sin.f64 y) (pow.f64 z 3))) (fma.f64 (*.f64 -1/18 (*.f64 t t)) (*.f64 (cos.f64 y) (*.f64 z z)) (fma.f64 1/3 (*.f64 t (*.f64 z (sin.f64 y))) (cos.f64 y))))
(+.f64 (fma.f64 -1/18 (*.f64 (*.f64 t z) (*.f64 (*.f64 t z) (cos.f64 y))) (cos.f64 y)) (*.f64 (sin.f64 y) (+.f64 (*.f64 1/3 (*.f64 t z)) (*.f64 -1/162 (*.f64 (pow.f64 t 3) (pow.f64 z 3))))))
(+.f64 (*.f64 (*.f64 t z) (+.f64 (*.f64 1/3 (sin.f64 y)) (*.f64 (*.f64 t z) (*.f64 (cos.f64 y) -1/18)))) (fma.f64 (*.f64 (sin.f64 y) (pow.f64 z 3)) (*.f64 -1/162 (pow.f64 t 3)) (cos.f64 y)))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (*.f64 -1/3 (*.f64 t z)))
(cos.f64 (*.f64 t (*.f64 z -1/3)))
(cos.f64 (*.f64 z (*.f64 t -1/3)))
(+.f64 (*.f64 -1 (*.f64 y (sin.f64 (*.f64 -1/3 (*.f64 t z))))) (cos.f64 (*.f64 -1/3 (*.f64 t z))))
(fma.f64 -1 (*.f64 y (sin.f64 (*.f64 -1/3 (*.f64 t z)))) (cos.f64 (*.f64 -1/3 (*.f64 t z))))
(-.f64 (cos.f64 (*.f64 t (*.f64 z -1/3))) (*.f64 y (sin.f64 (*.f64 t (*.f64 z -1/3)))))
(-.f64 (cos.f64 (*.f64 z (*.f64 t -1/3))) (*.f64 y (sin.f64 (*.f64 z (*.f64 t -1/3)))))
(+.f64 (*.f64 -1 (*.f64 y (sin.f64 (*.f64 -1/3 (*.f64 t z))))) (+.f64 (cos.f64 (*.f64 -1/3 (*.f64 t z))) (*.f64 -1/2 (*.f64 (pow.f64 y 2) (cos.f64 (*.f64 -1/3 (*.f64 t z)))))))
(fma.f64 -1 (*.f64 y (sin.f64 (*.f64 -1/3 (*.f64 t z)))) (+.f64 (cos.f64 (*.f64 -1/3 (*.f64 t z))) (*.f64 (*.f64 -1/2 (*.f64 y y)) (cos.f64 (*.f64 -1/3 (*.f64 t z))))))
(-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 y y)) 1) (cos.f64 (*.f64 t (*.f64 z -1/3)))) (*.f64 y (sin.f64 (*.f64 t (*.f64 z -1/3)))))
(fma.f64 (sin.f64 (*.f64 z (*.f64 t -1/3))) (neg.f64 y) (*.f64 (cos.f64 (*.f64 z (*.f64 t -1/3))) (fma.f64 -1/2 (*.f64 y y) 1)))
(+.f64 (*.f64 -1 (*.f64 y (sin.f64 (*.f64 -1/3 (*.f64 t z))))) (+.f64 (cos.f64 (*.f64 -1/3 (*.f64 t z))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (sin.f64 (*.f64 -1/3 (*.f64 t z))))) (*.f64 -1/2 (*.f64 (pow.f64 y 2) (cos.f64 (*.f64 -1/3 (*.f64 t z))))))))
(+.f64 (fma.f64 -1 (*.f64 y (sin.f64 (*.f64 -1/3 (*.f64 t z)))) (cos.f64 (*.f64 -1/3 (*.f64 t z)))) (fma.f64 1/6 (*.f64 (sin.f64 (*.f64 -1/3 (*.f64 t z))) (pow.f64 y 3)) (*.f64 (*.f64 -1/2 (*.f64 y y)) (cos.f64 (*.f64 -1/3 (*.f64 t z))))))
(+.f64 (-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 y y)) 1) (cos.f64 (*.f64 t (*.f64 z -1/3)))) (*.f64 y (sin.f64 (*.f64 t (*.f64 z -1/3))))) (*.f64 (sin.f64 (*.f64 t (*.f64 z -1/3))) (*.f64 1/6 (pow.f64 y 3))))
(+.f64 (*.f64 (cos.f64 (*.f64 z (*.f64 t -1/3))) (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 (sin.f64 (*.f64 z (*.f64 t -1/3))) (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3)))))
(fma.f64 (cos.f64 (*.f64 z (*.f64 t -1/3))) (fma.f64 -1/2 (*.f64 y y) 1) (*.f64 (sin.f64 (*.f64 z (*.f64 t -1/3))) (-.f64 (*.f64 1/6 (pow.f64 y 3)) y)))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(cos.f64 (fma.f64 z (*.f64 -1/3 t) y))
(cos.f64 (fma.f64 z (*.f64 t -1/3) y))
(*.f64 -1/3 t)
(*.f64 t -1/3)
(*.f64 -1/3 t)
(*.f64 t -1/3)
(*.f64 -1/3 t)
(*.f64 t -1/3)
(*.f64 -1/3 t)
(*.f64 t -1/3)
(*.f64 -1/3 t)
(*.f64 t -1/3)
(*.f64 -1/3 t)
(*.f64 t -1/3)
(*.f64 -1/3 t)
(*.f64 t -1/3)
(*.f64 -1/3 t)
(*.f64 t -1/3)
(*.f64 -1/3 t)
(*.f64 t -1/3)
(*.f64 -1/3 t)
(*.f64 t -1/3)
(*.f64 -1/3 t)
(*.f64 t -1/3)
(*.f64 -1/3 t)
(*.f64 t -1/3)
(*.f64 (cos.f64 y) (sqrt.f64 x))
(+.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 1/3 (*.f64 (*.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))))
(fma.f64 (cos.f64 y) (sqrt.f64 x) (*.f64 1/3 (*.f64 t (*.f64 (*.f64 z (sin.f64 y)) (sqrt.f64 x)))))
(*.f64 (sqrt.f64 x) (fma.f64 1/3 (*.f64 t (*.f64 z (sin.f64 y))) (cos.f64 y)))
(*.f64 (fma.f64 (*.f64 t z) (*.f64 1/3 (sin.f64 y)) (cos.f64 y)) (sqrt.f64 x))
(+.f64 (*.f64 -1/18 (*.f64 (*.f64 (pow.f64 t 2) (*.f64 (pow.f64 z 2) (cos.f64 y))) (sqrt.f64 x))) (+.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 1/3 (*.f64 (*.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x)))))
(fma.f64 -1/18 (*.f64 (*.f64 t t) (*.f64 (*.f64 (cos.f64 y) (*.f64 z z)) (sqrt.f64 x))) (fma.f64 (cos.f64 y) (sqrt.f64 x) (*.f64 1/3 (*.f64 t (*.f64 (*.f64 z (sin.f64 y)) (sqrt.f64 x))))))
(fma.f64 -1/18 (*.f64 (*.f64 (*.f64 t t) (*.f64 z z)) (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (fma.f64 1/3 (*.f64 t (*.f64 z (sin.f64 y))) (cos.f64 y))))
(*.f64 (sqrt.f64 x) (fma.f64 1/3 (*.f64 t (*.f64 z (sin.f64 y))) (fma.f64 -1/18 (*.f64 (*.f64 t z) (*.f64 (*.f64 t z) (cos.f64 y))) (cos.f64 y))))
(*.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (*.f64 (*.f64 t z) (+.f64 (*.f64 1/3 (sin.f64 y)) (*.f64 (*.f64 t z) (*.f64 (cos.f64 y) -1/18))))))
(+.f64 (*.f64 -1/18 (*.f64 (*.f64 (pow.f64 t 2) (*.f64 (pow.f64 z 2) (cos.f64 y))) (sqrt.f64 x))) (+.f64 (*.f64 -1/162 (*.f64 (*.f64 (pow.f64 t 3) (*.f64 (pow.f64 z 3) (sin.f64 y))) (sqrt.f64 x))) (+.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 1/3 (*.f64 (*.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))))))
(fma.f64 -1/18 (*.f64 (*.f64 t t) (*.f64 (*.f64 (cos.f64 y) (*.f64 z z)) (sqrt.f64 x))) (fma.f64 -1/162 (*.f64 (pow.f64 t 3) (*.f64 (*.f64 (sin.f64 y) (pow.f64 z 3)) (sqrt.f64 x))) (fma.f64 (cos.f64 y) (sqrt.f64 x) (*.f64 1/3 (*.f64 t (*.f64 (*.f64 z (sin.f64 y)) (sqrt.f64 x)))))))
(+.f64 (*.f64 (sqrt.f64 x) (fma.f64 1/3 (*.f64 t (*.f64 z (sin.f64 y))) (cos.f64 y))) (*.f64 (sqrt.f64 x) (fma.f64 -1/162 (*.f64 (pow.f64 t 3) (*.f64 (sin.f64 y) (pow.f64 z 3))) (*.f64 (*.f64 (*.f64 t t) (*.f64 z z)) (*.f64 (cos.f64 y) -1/18)))))
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 -1/18 (*.f64 (*.f64 t z) (*.f64 (*.f64 t z) (cos.f64 y))) (cos.f64 y)) (*.f64 (sin.f64 y) (+.f64 (*.f64 1/3 (*.f64 t z)) (*.f64 -1/162 (*.f64 (pow.f64 t 3) (pow.f64 z 3)))))))
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 (*.f64 t z) (+.f64 (*.f64 1/3 (sin.f64 y)) (*.f64 (*.f64 t z) (*.f64 (cos.f64 y) -1/18)))) (fma.f64 (*.f64 (sin.f64 y) (pow.f64 z 3)) (*.f64 -1/162 (pow.f64 t 3)) (cos.f64 y))))
(*.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x))
(*.f64 (cos.f64 y) (sqrt.f64 x))
(+.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 1/3 (*.f64 (*.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))))
(fma.f64 (cos.f64 y) (sqrt.f64 x) (*.f64 1/3 (*.f64 t (*.f64 (*.f64 z (sin.f64 y)) (sqrt.f64 x)))))
(*.f64 (sqrt.f64 x) (fma.f64 1/3 (*.f64 t (*.f64 z (sin.f64 y))) (cos.f64 y)))
(*.f64 (fma.f64 (*.f64 t z) (*.f64 1/3 (sin.f64 y)) (cos.f64 y)) (sqrt.f64 x))
(+.f64 (*.f64 -1/18 (*.f64 (*.f64 (pow.f64 t 2) (*.f64 (pow.f64 z 2) (cos.f64 y))) (sqrt.f64 x))) (+.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 1/3 (*.f64 (*.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x)))))
(fma.f64 -1/18 (*.f64 (*.f64 t t) (*.f64 (*.f64 (cos.f64 y) (*.f64 z z)) (sqrt.f64 x))) (fma.f64 (cos.f64 y) (sqrt.f64 x) (*.f64 1/3 (*.f64 t (*.f64 (*.f64 z (sin.f64 y)) (sqrt.f64 x))))))
(fma.f64 -1/18 (*.f64 (*.f64 (*.f64 t t) (*.f64 z z)) (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (fma.f64 1/3 (*.f64 t (*.f64 z (sin.f64 y))) (cos.f64 y))))
(*.f64 (sqrt.f64 x) (fma.f64 1/3 (*.f64 t (*.f64 z (sin.f64 y))) (fma.f64 -1/18 (*.f64 (*.f64 t z) (*.f64 (*.f64 t z) (cos.f64 y))) (cos.f64 y))))
(*.f64 (sqrt.f64 x) (+.f64 (cos.f64 y) (*.f64 (*.f64 t z) (+.f64 (*.f64 1/3 (sin.f64 y)) (*.f64 (*.f64 t z) (*.f64 (cos.f64 y) -1/18))))))
(+.f64 (*.f64 -1/18 (*.f64 (*.f64 (pow.f64 t 2) (*.f64 (pow.f64 z 2) (cos.f64 y))) (sqrt.f64 x))) (+.f64 (*.f64 -1/162 (*.f64 (*.f64 (pow.f64 t 3) (*.f64 (pow.f64 z 3) (sin.f64 y))) (sqrt.f64 x))) (+.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 1/3 (*.f64 (*.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))))))
(fma.f64 -1/18 (*.f64 (*.f64 t t) (*.f64 (*.f64 (cos.f64 y) (*.f64 z z)) (sqrt.f64 x))) (fma.f64 -1/162 (*.f64 (pow.f64 t 3) (*.f64 (*.f64 (sin.f64 y) (pow.f64 z 3)) (sqrt.f64 x))) (fma.f64 (cos.f64 y) (sqrt.f64 x) (*.f64 1/3 (*.f64 t (*.f64 (*.f64 z (sin.f64 y)) (sqrt.f64 x)))))))
(+.f64 (*.f64 (sqrt.f64 x) (fma.f64 1/3 (*.f64 t (*.f64 z (sin.f64 y))) (cos.f64 y))) (*.f64 (sqrt.f64 x) (fma.f64 -1/162 (*.f64 (pow.f64 t 3) (*.f64 (sin.f64 y) (pow.f64 z 3))) (*.f64 (*.f64 (*.f64 t t) (*.f64 z z)) (*.f64 (cos.f64 y) -1/18)))))
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 -1/18 (*.f64 (*.f64 t z) (*.f64 (*.f64 t z) (cos.f64 y))) (cos.f64 y)) (*.f64 (sin.f64 y) (+.f64 (*.f64 1/3 (*.f64 t z)) (*.f64 -1/162 (*.f64 (pow.f64 t 3) (pow.f64 z 3)))))))
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 (*.f64 t z) (+.f64 (*.f64 1/3 (sin.f64 y)) (*.f64 (*.f64 t z) (*.f64 (cos.f64 y) -1/18)))) (fma.f64 (*.f64 (sin.f64 y) (pow.f64 z 3)) (*.f64 -1/162 (pow.f64 t 3)) (cos.f64 y))))
(*.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (*.f64 -1/3 (*.f64 t z))) (sqrt.f64 x))
(*.f64 (cos.f64 (*.f64 t (*.f64 z -1/3))) (sqrt.f64 x))
(*.f64 (cos.f64 (*.f64 z (*.f64 t -1/3))) (sqrt.f64 x))
(+.f64 (*.f64 -1 (*.f64 (*.f64 y (sin.f64 (*.f64 -1/3 (*.f64 t z)))) (sqrt.f64 x))) (*.f64 (cos.f64 (*.f64 -1/3 (*.f64 t z))) (sqrt.f64 x)))
(fma.f64 -1 (*.f64 (*.f64 y (sin.f64 (*.f64 -1/3 (*.f64 t z)))) (sqrt.f64 x)) (*.f64 (cos.f64 (*.f64 -1/3 (*.f64 t z))) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (-.f64 (cos.f64 (*.f64 t (*.f64 z -1/3))) (*.f64 y (sin.f64 (*.f64 t (*.f64 z -1/3))))))
(*.f64 (sqrt.f64 x) (-.f64 (cos.f64 (*.f64 z (*.f64 t -1/3))) (*.f64 y (sin.f64 (*.f64 z (*.f64 t -1/3))))))
(+.f64 (*.f64 -1 (*.f64 (*.f64 y (sin.f64 (*.f64 -1/3 (*.f64 t z)))) (sqrt.f64 x))) (+.f64 (*.f64 (cos.f64 (*.f64 -1/3 (*.f64 t z))) (sqrt.f64 x)) (*.f64 -1/2 (*.f64 (*.f64 (cos.f64 (*.f64 -1/3 (*.f64 t z))) (pow.f64 y 2)) (sqrt.f64 x)))))
(fma.f64 -1 (*.f64 (*.f64 y (sin.f64 (*.f64 -1/3 (*.f64 t z)))) (sqrt.f64 x)) (fma.f64 (cos.f64 (*.f64 -1/3 (*.f64 t z))) (sqrt.f64 x) (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 -1/3 (*.f64 t z))) (*.f64 (*.f64 y y) (sqrt.f64 x))))))
(-.f64 (*.f64 (sqrt.f64 x) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 y y)) 1) (cos.f64 (*.f64 t (*.f64 z -1/3))))) (*.f64 (sin.f64 (*.f64 t (*.f64 z -1/3))) (*.f64 y (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (fma.f64 (sin.f64 (*.f64 z (*.f64 t -1/3))) (neg.f64 y) (*.f64 (cos.f64 (*.f64 z (*.f64 t -1/3))) (fma.f64 -1/2 (*.f64 y y) 1))))
(+.f64 (*.f64 -1 (*.f64 (*.f64 y (sin.f64 (*.f64 -1/3 (*.f64 t z)))) (sqrt.f64 x))) (+.f64 (*.f64 1/6 (*.f64 (*.f64 (pow.f64 y 3) (sin.f64 (*.f64 -1/3 (*.f64 t z)))) (sqrt.f64 x))) (+.f64 (*.f64 (cos.f64 (*.f64 -1/3 (*.f64 t z))) (sqrt.f64 x)) (*.f64 -1/2 (*.f64 (*.f64 (cos.f64 (*.f64 -1/3 (*.f64 t z))) (pow.f64 y 2)) (sqrt.f64 x))))))
(fma.f64 -1 (*.f64 (*.f64 y (sin.f64 (*.f64 -1/3 (*.f64 t z)))) (sqrt.f64 x)) (fma.f64 1/6 (*.f64 (pow.f64 y 3) (*.f64 (sin.f64 (*.f64 -1/3 (*.f64 t z))) (sqrt.f64 x))) (fma.f64 (cos.f64 (*.f64 -1/3 (*.f64 t z))) (sqrt.f64 x) (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 -1/3 (*.f64 t z))) (*.f64 (*.f64 y y) (sqrt.f64 x)))))))
(+.f64 (*.f64 (sqrt.f64 x) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 y y)) 1) (cos.f64 (*.f64 t (*.f64 z -1/3))))) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 y (neg.f64 (sin.f64 (*.f64 t (*.f64 z -1/3))))) (*.f64 (sin.f64 (*.f64 t (*.f64 z -1/3))) (*.f64 1/6 (pow.f64 y 3))))))
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 (cos.f64 (*.f64 z (*.f64 t -1/3))) (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 (sin.f64 (*.f64 z (*.f64 t -1/3))) (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3))))))
(*.f64 (sqrt.f64 x) (fma.f64 (cos.f64 (*.f64 z (*.f64 t -1/3))) (fma.f64 -1/2 (*.f64 y y) 1) (*.f64 (sin.f64 (*.f64 z (*.f64 t -1/3))) (-.f64 (*.f64 1/6 (pow.f64 y 3)) y))))
(*.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 -1/3 t) y)) (sqrt.f64 x))
(*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x))

eval57.0ms (0.6%)

Compiler

Compiled 3070 to 1889 computations (38.5% saved)

prune230.0ms (2.6%)

Pruning

25 alts after pruning (25 fresh and 0 done)

PrunedKeptTotal
New10024124
Fresh011
Picked101
Done000
Total10125126
Error
15.8b
Counts
126 → 25
Alt Table
Click to see full alt table
StatusErrorProgram
29.6b
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (cbrt.f64 (pow.f64 (*.f64 t -1/3) 3)) y))) (*.f64 a (/.f64 -1/3 b)))
35.4b
(fma.f64 2 (+.f64 (*.f64 -1/18 (*.f64 (*.f64 (pow.f64 t 2) (*.f64 (pow.f64 z 2) (cos.f64 y))) (sqrt.f64 x))) (+.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 1/3 (*.f64 (*.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))))) (*.f64 a (/.f64 -1/3 b)))
46.4b
(fma.f64 2 (log.f64 (pow.f64 (exp.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y))) (sqrt.f64 x))) (*.f64 a (/.f64 -1/3 b)))
25.1b
(fma.f64 2 (*.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) 2))) (*.f64 a (/.f64 -1/3 b)))
25.1b
(fma.f64 2 (sqrt.f64 (*.f64 x (pow.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) 2))) (*.f64 a (/.f64 -1/3 b)))
26.8b
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (sqrt.f64 (*.f64 (*.f64 t t) 1/9)) y))) (*.f64 a (/.f64 -1/3 b)))
21.4b
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (*.f64 t -1/3) y))) (*.f64 a (*.f64 (pow.f64 b -1) -1/3)))
21.7b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (/.f64 a (*.f64 b 3)))
25.1b
(fma.f64 2 (+.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 1/3 (*.f64 (*.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x)))) (*.f64 a (/.f64 -1/3 b)))
53.0b
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (pow.f64 (sqrt.f64 (*.f64 t -1/3)) 2) y))) (*.f64 a (/.f64 -1/3 b)))
18.3b
(fma.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 a (/.f64 -1/3 b)))
21.7b
(fma.f64 2 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x))) 3) (*.f64 a (/.f64 -1/3 b)))
21.5b
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (pow.f64 (cbrt.f64 (*.f64 t -1/3)) 3) y))) (*.f64 a (/.f64 -1/3 b)))
33.6b
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (*.f64 t -1/3) y))) (*.f64 a (*.f64 (cbrt.f64 (/.f64 1/9 (*.f64 b b))) (cbrt.f64 (/.f64 -1/3 b)))))
21.5b
(fma.f64 2 (*.f64 (sqrt.f64 x) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y))))))) (*.f64 a (/.f64 -1/3 b)))
40.1b
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (*.f64 t -1/3) y))) (*.f64 a (sqrt.f64 (/.f64 1/9 (*.f64 b b)))))
37.9b
(fma.f64 2 (*.f64 (sqrt.f64 x) (+.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 z (*.f64 t -1/3) y)))) (cos.f64 1)) (*.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 z (*.f64 t -1/3) y)))) (sin.f64 1)))) (*.f64 a (/.f64 -1/3 b)))
21.0b
(fma.f64 2 (*.f64 (sqrt.f64 x) (fma.f64 (cos.f64 (*.f64 (*.f64 z t) -1/3)) (cos.f64 y) (neg.f64 (*.f64 (sin.f64 (*.f64 (*.f64 z t) -1/3)) (sin.f64 y))))) (*.f64 a (/.f64 -1/3 b)))
21.0b
(fma.f64 2 (*.f64 (sqrt.f64 x) (+.f64 (fma.f64 (cos.f64 (*.f64 (*.f64 z t) -1/3)) (cos.f64 y) (neg.f64 (*.f64 (sin.f64 y) (sin.f64 (*.f64 (*.f64 z t) -1/3))))) (fma.f64 (neg.f64 (sin.f64 y)) (sin.f64 (*.f64 (*.f64 z t) -1/3)) (*.f64 (sin.f64 y) (sin.f64 (*.f64 (*.f64 z t) -1/3)))))) (*.f64 a (/.f64 -1/3 b)))
27.6b
(fma.f64 2 (expm1.f64 (log1p.f64 (*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x)))) (*.f64 a (/.f64 -1/3 b)))
27.6b
(fma.f64 2 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) 3) (pow.f64 x 3/2))) (*.f64 a (/.f64 -1/3 b)))
21.5b
(fma.f64 2 (*.f64 (sqrt.f64 x) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)))) 1)) (*.f64 a (/.f64 -1/3 b)))
29.3b
(fma.f64 2 (*.f64 (cos.f64 (*.f64 -1/3 (*.f64 t z))) (sqrt.f64 x)) (*.f64 a (/.f64 -1/3 b)))
21.9b
(fma.f64 2 (*.f64 (sqrt.f64 x) (+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)))) (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y))))))) (*.f64 a (/.f64 -1/3 b)))
21.5b
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (*.f64 t -1/3) y))) (*.f64 a (pow.f64 (*.f64 b -3) -1)))
Compiler

Compiled 1496 to 1110 computations (25.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series21.0ms (0.2%)

Counts
3 → 65
Calls

24 calls:

TimeVariablePointExpression
4.0ms
b
@inf
(fma.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 a (/.f64 -1/3 b)))
2.0ms
a
@inf
(*.f64 a (/.f64 -1/3 b))
1.0ms
y
@inf
(fma.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 a (/.f64 -1/3 b)))
1.0ms
a
@0
(fma.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 a (/.f64 -1/3 b)))
1.0ms
x
@0
(*.f64 (cos.f64 y) (sqrt.f64 x))

rewrite56.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
604×log-prod_binary64
240×prod-diff_binary64
235×expm1-udef_binary64
235×log1p-udef_binary64
200×log-pow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01333
126733
2313133
Stop Event
node limit
Counts
3 → 74
Calls
Call 1
Inputs
(*.f64 a (/.f64 -1/3 b))
(*.f64 (cos.f64 y) (sqrt.f64 x))
(fma.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 a (/.f64 -1/3 b)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 a -1/3) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 a -1/3) b))) (cbrt.f64 (exp.f64 (/.f64 (*.f64 a -1/3) b))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 a -1/3) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 a -1/3) b)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 a -1/3) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 a -1/3) b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (*.f64 b -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b (*.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a -1/3) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 a -1/3)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a -1/3) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a -1/3) (cbrt.f64 (*.f64 b b))) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a -1/3) (sqrt.f64 b)) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 a) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a 1/3) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 a -1/3) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 a -1/3) b) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 a -1/3) b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 a -1/3) b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 a -1/3) b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 a -1/3) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 a -1/3) b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 a -1/3) b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 (/.f64 -1/3 b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 -1/3 b) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 a -1/3) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a -1/3) b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 a -1/3) b)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 a -1/3) b)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 y) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) (sqrt.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) (sqrt.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) (sqrt.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (pow.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 y)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 (cos.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 y) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) (sqrt.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) (sqrt.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 a -1/3) b) (*.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x)) (/.f64 (*.f64 a -1/3) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x) (/.f64 (*.f64 a -1/3) b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x)) 1) (/.f64 (*.f64 a -1/3) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x) (/.f64 (*.f64 a -1/3) b)))) (cbrt.f64 (exp.f64 (fma.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x) (/.f64 (*.f64 a -1/3) b)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x) (/.f64 (*.f64 a -1/3) b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x) (/.f64 (*.f64 a -1/3) b))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x) (/.f64 (*.f64 a -1/3) b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x) (/.f64 (*.f64 a -1/3) b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x) (/.f64 (*.f64 a -1/3) b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x) (/.f64 (*.f64 a -1/3) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x) (/.f64 (*.f64 a -1/3) b))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x) (/.f64 (*.f64 a -1/3) b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x) (/.f64 (*.f64 a -1/3) b))) 2) (cbrt.f64 (fma.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x) (/.f64 (*.f64 a -1/3) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x) (/.f64 (*.f64 a -1/3) b))) (sqrt.f64 (fma.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x) (/.f64 (*.f64 a -1/3) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x)) 3) (pow.f64 (/.f64 (*.f64 a -1/3) b) 3)) (fma.f64 (*.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x)) (*.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x)) (-.f64 (pow.f64 (/.f64 (*.f64 a -1/3) b) 2) (*.f64 (*.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x)) (/.f64 (*.f64 a -1/3) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x)) (*.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x))) (pow.f64 (/.f64 (*.f64 a -1/3) b) 2)) (-.f64 (*.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x)) (/.f64 (*.f64 a -1/3) b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x) (/.f64 (*.f64 a -1/3) b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x) (/.f64 (*.f64 a -1/3) b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x) (/.f64 (*.f64 a -1/3) b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x) (/.f64 (*.f64 a -1/3) b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x) (/.f64 (*.f64 a -1/3) b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x) (/.f64 (*.f64 a -1/3) b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x) (/.f64 (*.f64 a -1/3) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 (*.f64 a -1/3) b)) (exp.f64 (*.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 a -1/3) b))) (exp.f64 (*.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x))) (+.f64 1 (expm1.f64 (/.f64 (*.f64 a -1/3) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x) (/.f64 (*.f64 a -1/3) b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x) (/.f64 (*.f64 a -1/3) b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x) (/.f64 (*.f64 a -1/3) b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x) (/.f64 (*.f64 a -1/3) b))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x) (/.f64 (*.f64 a -1/3) b))))))))

simplify51.0ms (0.6%)

Algorithm
egg-herbie
Rules
589×associate-*l*_binary64
433×distribute-rgt-neg-in_binary64
430×associate-*r*_binary64
285×unswap-sqr_binary64
259×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
044905
1117896
2335866
31122861
43623861
Stop Event
node limit
Counts
139 → 94
Calls
Call 1
Inputs
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(sqrt.f64 x)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (sqrt.f64 x))) (sqrt.f64 x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) (sqrt.f64 x))) (sqrt.f64 x)))
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) (sqrt.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) (sqrt.f64 x))) (sqrt.f64 x))))
(+.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 y 4) (sqrt.f64 x))) (+.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b)))))
(+.f64 (*.f64 -1/360 (*.f64 (pow.f64 y 6) (sqrt.f64 x))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 y 4) (sqrt.f64 x))) (+.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b))))))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(*.f64 -1/3 (/.f64 a b))
(*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(*.f64 -1/3 (/.f64 a b))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(*.f64 -1/3 (/.f64 a b))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(*.f64 -1/3 (/.f64 a b))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
Outputs
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(sqrt.f64 x)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (sqrt.f64 x))) (sqrt.f64 x))
(fma.f64 -1/2 (*.f64 (sqrt.f64 x) (*.f64 y y)) (sqrt.f64 x))
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 y y)) 1) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (fma.f64 -1/2 (*.f64 y y) 1))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) (sqrt.f64 x))) (sqrt.f64 x)))
(fma.f64 -1/2 (*.f64 (sqrt.f64 x) (*.f64 y y)) (fma.f64 1/24 (*.f64 (sqrt.f64 x) (pow.f64 y 4)) (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 1/24 (pow.f64 y 4)))))
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 1/24 (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 y y) 1)))
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 -1/2 (*.f64 y y)) (fma.f64 1/24 (pow.f64 y 4) 1)))
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) (sqrt.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) (sqrt.f64 x))) (sqrt.f64 x))))
(fma.f64 -1/720 (*.f64 (sqrt.f64 x) (pow.f64 y 6)) (fma.f64 -1/2 (*.f64 (sqrt.f64 x) (*.f64 y y)) (fma.f64 1/24 (*.f64 (sqrt.f64 x) (pow.f64 y 4)) (sqrt.f64 x))))
(+.f64 (fma.f64 1/24 (*.f64 (sqrt.f64 x) (pow.f64 y 4)) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 -1/720 (pow.f64 y 6)) (*.f64 -1/2 (*.f64 y y)))))
(fma.f64 (fma.f64 1/24 (pow.f64 y 4) 1) (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 -1/720 (pow.f64 y 6) (*.f64 -1/2 (*.f64 y y)))))
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 -1/720 (pow.f64 y 6) (*.f64 -1/2 (*.f64 y y))) (fma.f64 1/24 (pow.f64 y 4) 1)))
(+.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (sqrt.f64 x) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (sqrt.f64 x) 2))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b))))
(fma.f64 -1 (*.f64 (sqrt.f64 x) (*.f64 y y)) (fma.f64 2 (sqrt.f64 x) (*.f64 -1/3 (/.f64 a b))))
(+.f64 (*.f64 -1/3 (/.f64 a b)) (*.f64 (sqrt.f64 x) (+.f64 (neg.f64 (*.f64 y y)) 2)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (sqrt.f64 x) (fma.f64 (neg.f64 y) y 2)))
(fma.f64 (sqrt.f64 x) (-.f64 2 (*.f64 y y)) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 y 4) (sqrt.f64 x))) (+.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b)))))
(fma.f64 -1 (*.f64 (sqrt.f64 x) (*.f64 y y)) (fma.f64 1/12 (*.f64 (sqrt.f64 x) (pow.f64 y 4)) (fma.f64 2 (sqrt.f64 x) (*.f64 -1/3 (/.f64 a b)))))
(+.f64 (fma.f64 -1/3 (/.f64 a b) (*.f64 (sqrt.f64 x) 2)) (*.f64 (sqrt.f64 x) (+.f64 (neg.f64 (*.f64 y y)) (*.f64 (pow.f64 y 4) 1/12))))
(+.f64 (*.f64 -1/3 (/.f64 a b)) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 y (neg.f64 y)) (fma.f64 (pow.f64 y 4) 1/12 2))))
(+.f64 (*.f64 -1/3 (/.f64 a b)) (*.f64 (sqrt.f64 x) (-.f64 (fma.f64 (pow.f64 y 4) 1/12 2) (*.f64 y y))))
(+.f64 (*.f64 -1/360 (*.f64 (pow.f64 y 6) (sqrt.f64 x))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 y 4) (sqrt.f64 x))) (+.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b))))))
(fma.f64 -1/360 (*.f64 (sqrt.f64 x) (pow.f64 y 6)) (fma.f64 -1 (*.f64 (sqrt.f64 x) (*.f64 y y)) (fma.f64 1/12 (*.f64 (sqrt.f64 x) (pow.f64 y 4)) (fma.f64 2 (sqrt.f64 x) (*.f64 -1/3 (/.f64 a b))))))
(+.f64 (+.f64 (*.f64 -1/3 (/.f64 a b)) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 (pow.f64 y 4) 1/12) 2))) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 (pow.f64 y 6) -1/360) (neg.f64 (*.f64 y y)))))
(+.f64 (*.f64 -1/3 (/.f64 a b)) (*.f64 (sqrt.f64 x) (+.f64 (fma.f64 (pow.f64 y 6) -1/360 (*.f64 y (neg.f64 y))) (fma.f64 (pow.f64 y 4) 1/12 2))))
(+.f64 (*.f64 -1/3 (/.f64 a b)) (*.f64 (sqrt.f64 x) (+.f64 (-.f64 (*.f64 (pow.f64 y 6) -1/360) (*.f64 y y)) (fma.f64 (pow.f64 y 4) 1/12 2))))
(+.f64 (*.f64 -1/3 (/.f64 a b)) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 (pow.f64 y 6) -1/360) (-.f64 (fma.f64 (pow.f64 y 4) 1/12 2) (*.f64 y y)))))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (*.f64 (sqrt.f64 x) 2) (cos.f64 y)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (*.f64 (sqrt.f64 x) 2) (cos.f64 y)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (*.f64 (sqrt.f64 x) 2) (cos.f64 y)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (*.f64 (sqrt.f64 x) 2) (cos.f64 y)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (*.f64 (sqrt.f64 x) 2) (cos.f64 y)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (*.f64 (sqrt.f64 x) 2) (cos.f64 y)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (*.f64 (sqrt.f64 x) 2) (cos.f64 y)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (*.f64 (sqrt.f64 x) 2) (cos.f64 y)))
(*.f64 -1/3 (/.f64 a b))
(*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))
(*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)))
(*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y)))
(*.f64 (*.f64 (sqrt.f64 x) 2) (cos.f64 y))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (*.f64 (sqrt.f64 x) 2) (cos.f64 y)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (*.f64 (sqrt.f64 x) 2) (cos.f64 y)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (*.f64 (sqrt.f64 x) 2) (cos.f64 y)))
(*.f64 -1/3 (/.f64 a b))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (*.f64 (sqrt.f64 x) 2) (cos.f64 y)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (*.f64 (sqrt.f64 x) 2) (cos.f64 y)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (*.f64 (sqrt.f64 x) 2) (cos.f64 y)))
(*.f64 -1/3 (/.f64 a b))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (*.f64 (sqrt.f64 x) 2) (cos.f64 y)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (*.f64 (sqrt.f64 x) 2) (cos.f64 y)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (*.f64 (sqrt.f64 x) 2) (cos.f64 y)))
(*.f64 -1/3 (/.f64 a b))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (*.f64 (sqrt.f64 x) 2) (cos.f64 y)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (*.f64 (sqrt.f64 x) 2) (cos.f64 y)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (*.f64 (sqrt.f64 x) 2) (cos.f64 y)))
(*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))
(*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)))
(*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y)))
(*.f64 (*.f64 (sqrt.f64 x) 2) (cos.f64 y))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (*.f64 (sqrt.f64 x) 2) (cos.f64 y)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (*.f64 (sqrt.f64 x) 2) (cos.f64 y)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (*.f64 (sqrt.f64 x) 2) (cos.f64 y)))
(*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))
(*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)))
(*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y)))
(*.f64 (*.f64 (sqrt.f64 x) 2) (cos.f64 y))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (*.f64 (sqrt.f64 x) 2) (cos.f64 y)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (*.f64 (sqrt.f64 x) 2) (cos.f64 y)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (sqrt.f64 x) (*.f64 2 (cos.f64 y))))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (*.f64 (sqrt.f64 x) 2) (cos.f64 y)))

eval40.0ms (0.4%)

Compiler

Compiled 2074 to 1148 computations (44.6% saved)

prune205.0ms (2.3%)

Pruning

27 alts after pruning (27 fresh and 0 done)

PrunedKeptTotal
New10613119
Fresh101424
Picked101
Done000
Total11727144
Error
15.6b
Counts
144 → 27
Alt Table
Click to see full alt table
StatusErrorProgram
49.5b
(pow.f64 (pow.f64 (fma.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x) (/.f64 (*.f64 a -1/3) b)) 3) 1/3)
18.3b
(fma.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)) (/.f64 a (*.f64 b -3)))
26.0b
(fma.f64 2 (sqrt.f64 x) (*.f64 a (/.f64 -1/3 b)))
18.6b
(fma.f64 2 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) (sqrt.f64 x))) 3) (*.f64 a (/.f64 -1/3 b)))
45.1b
(fma.f64 2 (+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) (sqrt.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) (sqrt.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) (sqrt.f64 x))))) (*.f64 a (/.f64 -1/3 b)))
35.4b
(fma.f64 2 (+.f64 (*.f64 -1/18 (*.f64 (*.f64 (pow.f64 t 2) (*.f64 (pow.f64 z 2) (cos.f64 y))) (sqrt.f64 x))) (+.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 1/3 (*.f64 (*.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))))) (*.f64 a (/.f64 -1/3 b)))
18.3b
(+.f64 0 (fma.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x) (/.f64 (*.f64 a -1/3) b)))
25.1b
(fma.f64 2 (*.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) 2))) (*.f64 a (/.f64 -1/3 b)))
18.7b
(fma.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 a -1/3) b)) 3))
25.1b
(fma.f64 2 (sqrt.f64 (*.f64 x (pow.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) 2))) (*.f64 a (/.f64 -1/3 b)))
26.8b
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (sqrt.f64 (*.f64 (*.f64 t t) 1/9)) y))) (*.f64 a (/.f64 -1/3 b)))
25.1b
(fma.f64 2 (+.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 1/3 (*.f64 (*.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x)))) (*.f64 a (/.f64 -1/3 b)))
21.7b
(fma.f64 2 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x))) 3) (*.f64 a (/.f64 -1/3 b)))
21.5b
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (pow.f64 (cbrt.f64 (*.f64 t -1/3)) 3) y))) (*.f64 a (/.f64 -1/3 b)))
42.9b
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x) (/.f64 (*.f64 a -1/3) b)) 2))
37.9b
(fma.f64 2 (*.f64 (sqrt.f64 x) (+.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 z (*.f64 t -1/3) y)))) (cos.f64 1)) (*.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 z (*.f64 t -1/3) y)))) (sin.f64 1)))) (*.f64 a (/.f64 -1/3 b)))
25.5b
(fma.f64 2 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3/2))) (*.f64 a (/.f64 -1/3 b)))
21.0b
(fma.f64 2 (*.f64 (sqrt.f64 x) (fma.f64 (cos.f64 (*.f64 (*.f64 z t) -1/3)) (cos.f64 y) (neg.f64 (*.f64 (sin.f64 (*.f64 (*.f64 z t) -1/3)) (sin.f64 y))))) (*.f64 a (/.f64 -1/3 b)))
21.0b
(fma.f64 2 (*.f64 (sqrt.f64 x) (+.f64 (fma.f64 (cos.f64 (*.f64 (*.f64 z t) -1/3)) (cos.f64 y) (neg.f64 (*.f64 (sin.f64 y) (sin.f64 (*.f64 (*.f64 z t) -1/3))))) (fma.f64 (neg.f64 (sin.f64 y)) (sin.f64 (*.f64 (*.f64 z t) -1/3)) (*.f64 (sin.f64 y) (sin.f64 (*.f64 (*.f64 z t) -1/3)))))) (*.f64 a (/.f64 -1/3 b)))
30.7b
(fma.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 a (expm1.f64 (log1p.f64 (/.f64 -1/3 b)))))
35.6b
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x) (/.f64 (*.f64 a -1/3) b))) 2)
29.4b
(fma.f64 2 (exp.f64 (log.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)))) (*.f64 a (/.f64 -1/3 b)))
53.0b
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (pow.f64 (sqrt.f64 (*.f64 t -1/3)) 2) y))) (*.f64 a (/.f64 -1/3 b)))
45.1b
(fma.f64 2 (log.f64 (pow.f64 (exp.f64 (cos.f64 y)) (sqrt.f64 x))) (*.f64 a (/.f64 -1/3 b)))
21.5b
(fma.f64 2 (*.f64 (sqrt.f64 x) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y))))))) (*.f64 a (/.f64 -1/3 b)))
29.3b
(fma.f64 2 (*.f64 (cos.f64 (*.f64 -1/3 (*.f64 t z))) (sqrt.f64 x)) (*.f64 a (/.f64 -1/3 b)))
21.9b
(fma.f64 2 (*.f64 (sqrt.f64 x) (+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)))) (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y))))))) (*.f64 a (/.f64 -1/3 b)))
Compiler

Compiled 1494 to 1112 computations (25.6% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x) (/.f64 (*.f64 a -1/3) b))
0.2b
(/.f64 (*.f64 a -1/3) b)
0.3b
(*.f64 a -1/3)

series27.0ms (0.3%)

Counts
3 → 73
Calls

21 calls:

TimeVariablePointExpression
16.0ms
y
@inf
(fma.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x) (/.f64 (*.f64 a -1/3) b))
3.0ms
a
@0
(fma.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x) (/.f64 (*.f64 a -1/3) b))
1.0ms
y
@-inf
(fma.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x) (/.f64 (*.f64 a -1/3) b))
1.0ms
x
@inf
(fma.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x) (/.f64 (*.f64 a -1/3) b))
0.0ms
a
@0
(*.f64 a -1/3)

rewrite58.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
387×prod-diff_binary64
236×expm1-udef_binary64
236×log1p-udef_binary64
201×log-pow_binary64
133×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01329
126629
2322929
Stop Event
node limit
Counts
3 → 82
Calls
Call 1
Inputs
(*.f64 a -1/3)
(/.f64 (*.f64 a -1/3) b)
(fma.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x) (/.f64 (*.f64 a -1/3) b))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a -1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a -1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a -1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/3) a))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a -1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a -1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a -1/3)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/3 (/.f64 a b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (/.f64 1 (*.f64 b -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (*.f64 -1/3 (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (*.f64 a (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a -1/3) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/3 (/.f64 a b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -1/3 (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) (cbrt.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 2)) (cbrt.f64 (*.f64 -1/3 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 a -1/3) 2)) (*.f64 (cbrt.f64 (*.f64 a -1/3)) (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -1/3 (/.f64 a b))) (sqrt.f64 (*.f64 -1/3 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a -1/3)) (*.f64 (sqrt.f64 (*.f64 a -1/3)) (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a 1/3) (/.f64 1 (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 b) (*.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a 1) (/.f64 -1/3 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a b) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 a -1/3) 2)) 1) (/.f64 (cbrt.f64 (*.f64 a -1/3)) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 a -1/3)) 1) (/.f64 (sqrt.f64 (*.f64 a -1/3)) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (pow.f64 (cbrt.f64 b) 2)) (/.f64 -1/3 (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/3 (pow.f64 (cbrt.f64 b) 2)) (/.f64 a (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 b) 2)) (/.f64 (*.f64 a -1/3) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 a -1/3) 2)) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 (*.f64 -1/3 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 a -1/3)) (pow.f64 (cbrt.f64 b) 2)) (/.f64 (sqrt.f64 (*.f64 a -1/3)) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (sqrt.f64 b)) (/.f64 -1/3 (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/3 (sqrt.f64 b)) (/.f64 a (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 b)) (/.f64 (*.f64 a -1/3) (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 a -1/3) 2)) (sqrt.f64 b)) (/.f64 (cbrt.f64 (*.f64 a -1/3)) (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/3 (/.f64 a b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/3 (/.f64 a b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -3 (/.f64 b a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 a -1/3) (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 -1/3 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/3 (/.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 a -1/3) 3) (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/3 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/3 (/.f64 a b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/3 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/3 (/.f64 a b))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/3 (/.f64 a b)) (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) 1) (*.f64 -1/3 (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b)))) (pow.f64 (cbrt.f64 (fma.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b)))) 2) (cbrt.f64 (fma.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b)))) (sqrt.f64 (fma.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) 3) (pow.f64 (*.f64 -1/3 (/.f64 a b)) 3)) (fma.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (-.f64 (pow.f64 (*.f64 -1/3 (/.f64 a b)) 2) (*.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))) (pow.f64 (*.f64 -1/3 (/.f64 a b)) 2)) (fma.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)) (neg.f64 (*.f64 -1/3 (/.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 -1/3 (/.f64 a b))) (exp.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/3 (/.f64 a b)))) (exp.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))) (+.f64 1 (expm1.f64 (*.f64 -1/3 (/.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b)))))))))

simplify61.0ms (0.7%)

Algorithm
egg-herbie
Rules
765×fma-def_binary64
433×distribute-rgt-neg-in_binary64
406×distribute-lft-neg-in_binary64
359×associate-*l*_binary64
285×unswap-sqr_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
035869
187862
2236844
3773838
43142838
Stop Event
node limit
Counts
155 → 95
Calls
Call 1
Inputs
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(+.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 y 4) (sqrt.f64 x))) (+.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b)))))
(+.f64 (*.f64 -1/360 (*.f64 (pow.f64 y 6) (sqrt.f64 x))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 y 4) (sqrt.f64 x))) (+.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b))))))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(*.f64 -1/3 (/.f64 a b))
(*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(*.f64 -1/3 (/.f64 a b))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(*.f64 -1/3 (/.f64 a b))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(*.f64 -1/3 (/.f64 a b))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
Outputs
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 a)
(*.f64 -1/3 (/.f64 a b))
(*.f64 a (/.f64 -1/3 b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 a (/.f64 -1/3 b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 a (/.f64 -1/3 b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 a (/.f64 -1/3 b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 a (/.f64 -1/3 b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 a (/.f64 -1/3 b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 a (/.f64 -1/3 b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 a (/.f64 -1/3 b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 a (/.f64 -1/3 b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 a (/.f64 -1/3 b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 a (/.f64 -1/3 b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 a (/.f64 -1/3 b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 a (/.f64 -1/3 b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 a (/.f64 -1/3 b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 a (/.f64 -1/3 b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 a (/.f64 -1/3 b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 a (/.f64 -1/3 b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 a (/.f64 -1/3 b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 a (/.f64 -1/3 b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 a (/.f64 -1/3 b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 a (/.f64 -1/3 b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 a (/.f64 -1/3 b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 a (/.f64 -1/3 b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 a (/.f64 -1/3 b))
(+.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (sqrt.f64 x) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 2 (sqrt.f64 x)))
(fma.f64 2 (sqrt.f64 x) (*.f64 a (/.f64 -1/3 b)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b))))
(fma.f64 -1 (*.f64 (sqrt.f64 x) (*.f64 y y)) (fma.f64 2 (sqrt.f64 x) (*.f64 -1/3 (/.f64 a b))))
(+.f64 (*.f64 -1/3 (/.f64 a b)) (*.f64 (sqrt.f64 x) (+.f64 (neg.f64 (*.f64 y y)) 2)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (sqrt.f64 x) (fma.f64 (neg.f64 y) y 2)))
(fma.f64 (sqrt.f64 x) (-.f64 2 (*.f64 y y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 (sqrt.f64 x) (-.f64 2 (*.f64 y y)) (*.f64 a (/.f64 -1/3 b)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 y 4) (sqrt.f64 x))) (+.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b)))))
(fma.f64 -1 (*.f64 (sqrt.f64 x) (*.f64 y y)) (fma.f64 1/12 (*.f64 (sqrt.f64 x) (pow.f64 y 4)) (fma.f64 2 (sqrt.f64 x) (*.f64 -1/3 (/.f64 a b)))))
(+.f64 (fma.f64 -1/3 (/.f64 a b) (*.f64 2 (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (+.f64 (neg.f64 (*.f64 y y)) (*.f64 1/12 (pow.f64 y 4)))))
(+.f64 (*.f64 -1/3 (/.f64 a b)) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 y (neg.f64 y)) (fma.f64 1/12 (pow.f64 y 4) 2))))
(fma.f64 (sqrt.f64 x) (fma.f64 y (neg.f64 y) (fma.f64 1/12 (pow.f64 y 4) 2)) (*.f64 -1/3 (/.f64 a b)))
(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 -1/360 (*.f64 (pow.f64 y 6) (sqrt.f64 x))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 y 4) (sqrt.f64 x))) (+.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b))))))
(fma.f64 -1/360 (*.f64 (sqrt.f64 x) (pow.f64 y 6)) (fma.f64 -1 (*.f64 (sqrt.f64 x) (*.f64 y y)) (fma.f64 1/12 (*.f64 (sqrt.f64 x) (pow.f64 y 4)) (fma.f64 2 (sqrt.f64 x) (*.f64 -1/3 (/.f64 a b))))))
(+.f64 (+.f64 (*.f64 -1/3 (/.f64 a b)) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 1/12 (pow.f64 y 4)) 2))) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 -1/360 (pow.f64 y 6)) (neg.f64 (*.f64 y y)))))
(+.f64 (*.f64 -1/3 (/.f64 a b)) (*.f64 (sqrt.f64 x) (+.f64 (fma.f64 -1/360 (pow.f64 y 6) (*.f64 y (neg.f64 y))) (fma.f64 1/12 (pow.f64 y 4) 2))))
(fma.f64 (sqrt.f64 x) (+.f64 (*.f64 -1/360 (pow.f64 y 6)) (fma.f64 y (neg.f64 y) (fma.f64 1/12 (pow.f64 y 4) 2))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 (sqrt.f64 x) (+.f64 (fma.f64 1/12 (pow.f64 y 4) 2) (-.f64 (*.f64 -1/360 (pow.f64 y 6)) (*.f64 y y))) (*.f64 a (/.f64 -1/3 b)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(*.f64 -1/3 (/.f64 a b))
(*.f64 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 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(*.f64 -1/3 (/.f64 a b))
(*.f64 a (/.f64 -1/3 b))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(*.f64 -1/3 (/.f64 a b))
(*.f64 a (/.f64 -1/3 b))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(*.f64 -1/3 (/.f64 a b))
(*.f64 a (/.f64 -1/3 b))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))
(*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))
(*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))

eval56.0ms (0.6%)

Compiler

Compiled 1806 to 1051 computations (41.8% saved)

prune204.0ms (2.3%)

Pruning

27 alts after pruning (26 fresh and 1 done)

PrunedKeptTotal
New93295
Fresh22426
Picked011
Done000
Total9527122
Error
15.6b
Counts
122 → 27
Alt Table
Click to see full alt table
StatusErrorProgram
49.5b
(pow.f64 (pow.f64 (fma.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x) (/.f64 (*.f64 a -1/3) b)) 3) 1/3)
18.3b
(fma.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)) (/.f64 a (*.f64 b -3)))
26.0b
(fma.f64 2 (sqrt.f64 x) (*.f64 a (/.f64 -1/3 b)))
18.6b
(fma.f64 2 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) (sqrt.f64 x))) 3) (*.f64 a (/.f64 -1/3 b)))
45.1b
(fma.f64 2 (+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) (sqrt.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) (sqrt.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) (sqrt.f64 x))))) (*.f64 a (/.f64 -1/3 b)))
35.4b
(fma.f64 2 (+.f64 (*.f64 -1/18 (*.f64 (*.f64 (pow.f64 t 2) (*.f64 (pow.f64 z 2) (cos.f64 y))) (sqrt.f64 x))) (+.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 1/3 (*.f64 (*.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))))) (*.f64 a (/.f64 -1/3 b)))
18.3b
(+.f64 0 (fma.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x) (/.f64 (*.f64 a -1/3) b)))
25.1b
(fma.f64 2 (*.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) 2))) (*.f64 a (/.f64 -1/3 b)))
42.9b
(+.f64 0 (sqrt.f64 (pow.f64 (fma.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b))) 2)))
25.1b
(fma.f64 2 (sqrt.f64 (*.f64 x (pow.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) 2))) (*.f64 a (/.f64 -1/3 b)))
26.8b
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (sqrt.f64 (*.f64 (*.f64 t t) 1/9)) y))) (*.f64 a (/.f64 -1/3 b)))
25.1b
(fma.f64 2 (+.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 1/3 (*.f64 (*.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x)))) (*.f64 a (/.f64 -1/3 b)))
21.7b
(fma.f64 2 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x))) 3) (*.f64 a (/.f64 -1/3 b)))
21.5b
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (pow.f64 (cbrt.f64 (*.f64 t -1/3)) 3) y))) (*.f64 a (/.f64 -1/3 b)))
45.1b
(fma.f64 2 (log.f64 (pow.f64 (exp.f64 (cos.f64 y)) (sqrt.f64 x))) (*.f64 a (/.f64 -1/3 b)))
18.7b
(+.f64 0 (fma.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 3)))
25.5b
(fma.f64 2 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3/2))) (*.f64 a (/.f64 -1/3 b)))
21.0b
(fma.f64 2 (*.f64 (sqrt.f64 x) (fma.f64 (cos.f64 (*.f64 (*.f64 z t) -1/3)) (cos.f64 y) (neg.f64 (*.f64 (sin.f64 (*.f64 (*.f64 z t) -1/3)) (sin.f64 y))))) (*.f64 a (/.f64 -1/3 b)))
21.0b
(fma.f64 2 (*.f64 (sqrt.f64 x) (+.f64 (fma.f64 (cos.f64 (*.f64 (*.f64 z t) -1/3)) (cos.f64 y) (neg.f64 (*.f64 (sin.f64 y) (sin.f64 (*.f64 (*.f64 z t) -1/3))))) (fma.f64 (neg.f64 (sin.f64 y)) (sin.f64 (*.f64 (*.f64 z t) -1/3)) (*.f64 (sin.f64 y) (sin.f64 (*.f64 (*.f64 z t) -1/3)))))) (*.f64 a (/.f64 -1/3 b)))
30.7b
(fma.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 a (expm1.f64 (log1p.f64 (/.f64 -1/3 b)))))
35.6b
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x) (/.f64 (*.f64 a -1/3) b))) 2)
29.4b
(fma.f64 2 (exp.f64 (log.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)))) (*.f64 a (/.f64 -1/3 b)))
53.0b
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (pow.f64 (sqrt.f64 (*.f64 t -1/3)) 2) y))) (*.f64 a (/.f64 -1/3 b)))
21.5b
(fma.f64 2 (*.f64 (sqrt.f64 x) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y))))))) (*.f64 a (/.f64 -1/3 b)))
29.3b
(fma.f64 2 (*.f64 (cos.f64 (*.f64 -1/3 (*.f64 t z))) (sqrt.f64 x)) (*.f64 a (/.f64 -1/3 b)))
21.9b
(fma.f64 2 (*.f64 (sqrt.f64 x) (+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)))) (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y))))))) (*.f64 a (/.f64 -1/3 b)))
37.9b
(fma.f64 2 (*.f64 (sqrt.f64 x) (+.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 z (*.f64 t -1/3) y)))) (cos.f64 1)) (*.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 z (*.f64 t -1/3) y)))) (sin.f64 1)))) (*.f64 a (/.f64 -1/3 b)))
Compiler

Compiled 1482 to 1104 computations (25.5% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series6.0ms (0.1%)

Counts
2 → 61
Calls

18 calls:

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

rewrite55.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
288×prod-diff_binary64
236×expm1-udef_binary64
236×log1p-udef_binary64
201×log-pow_binary64
133×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01325
126625
2324925
Stop Event
node limit
Counts
2 → 66
Calls
Call 1
Inputs
(/.f64 a (*.f64 b -3))
(fma.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)) (/.f64 a (*.f64 b -3)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a (/.f64 -1/3 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (/.f64 -1/3 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (/.f64 -1/3 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 a (/.f64 -1/3 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (/.f64 -1/3 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a (/.f64 -1/3 b))) (cbrt.f64 (pow.f64 (*.f64 a (/.f64 -1/3 b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 a (/.f64 -1/3 b)) 2)) (cbrt.f64 (*.f64 a (/.f64 -1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (/.f64 -1/3 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a (/.f64 -1/3 b))) (sqrt.f64 (*.f64 a (/.f64 -1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 a) (/.f64 1 (*.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/3 b) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a b) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 b) (/.f64 a -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) b) (/.f64 (cbrt.f64 a) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) b) (/.f64 (sqrt.f64 a) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) -3) (/.f64 (sqrt.f64 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) -3) (/.f64 (cbrt.f64 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) 1) (/.f64 (cbrt.f64 a) (*.f64 b -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) 1) (/.f64 (sqrt.f64 a) (*.f64 b -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 (*.f64 b b) 9))) (/.f64 a (cbrt.f64 (*.f64 b -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 (*.f64 (*.f64 b b) 9))) (cbrt.f64 (*.f64 a (/.f64 -1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) (cbrt.f64 (*.f64 (*.f64 b b) 9))) (/.f64 (sqrt.f64 a) (cbrt.f64 (*.f64 b -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 b -3))) (/.f64 a (sqrt.f64 (*.f64 b -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (sqrt.f64 (*.f64 b -3))) (/.f64 (cbrt.f64 a) (sqrt.f64 (*.f64 b -3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (/.f64 -1/3 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (/.f64 -1/3 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (/.f64 -1/3 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a (/.f64 -1/3 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -3 (/.f64 b a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 a (*.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a (/.f64 -1/3 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 a (/.f64 -1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a (/.f64 -1/3 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (/.f64 -1/3 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 a 3) (pow.f64 (*.f64 b -3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (/.f64 -1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (/.f64 -1/3 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (/.f64 -1/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (/.f64 -1/3 b))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (/.f64 -1/3 b)) (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 a (/.f64 -1/3 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) 1) (*.f64 a (/.f64 -1/3 b)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 a (/.f64 -1/3 b) (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 a (/.f64 -1/3 b) (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 a (/.f64 -1/3 b) (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 a (/.f64 -1/3 b) (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))))) (pow.f64 (cbrt.f64 (fma.f64 a (/.f64 -1/3 b) (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 a (/.f64 -1/3 b) (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))))) 2) (cbrt.f64 (fma.f64 a (/.f64 -1/3 b) (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 a (/.f64 -1/3 b) (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))))) (sqrt.f64 (fma.f64 a (/.f64 -1/3 b) (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) 3) (pow.f64 (*.f64 a (/.f64 -1/3 b)) 3)) (fma.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (-.f64 (pow.f64 (*.f64 a (/.f64 -1/3 b)) 2) (*.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 a (/.f64 -1/3 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (neg.f64 (pow.f64 (*.f64 a (/.f64 -1/3 b)) 2))) (fma.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x) (neg.f64 (*.f64 a (/.f64 -1/3 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a (/.f64 -1/3 b) (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a (/.f64 -1/3 b) (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 a (/.f64 -1/3 b) (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 a (/.f64 -1/3 b) (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 a (/.f64 -1/3 b) (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 a (/.f64 -1/3 b) (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 a (/.f64 -1/3 b) (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 a (/.f64 -1/3 b))) (exp.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a (/.f64 -1/3 b)))) (exp.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))) (+.f64 1 (expm1.f64 (*.f64 a (/.f64 -1/3 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a (/.f64 -1/3 b) (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 a (/.f64 -1/3 b) (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 a (/.f64 -1/3 b) (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 a (/.f64 -1/3 b) (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 a (/.f64 -1/3 b) (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))))))))))

simplify47.0ms (0.5%)

Algorithm
egg-herbie
Rules
762×fma-def_binary64
433×distribute-rgt-neg-in_binary64
406×distribute-lft-neg-in_binary64
367×associate-*l*_binary64
285×unswap-sqr_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
034821
186814
2235796
3769790
43180790
Stop Event
node limit
Counts
127 → 79
Calls
Call 1
Inputs
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(*.f64 -1/3 (/.f64 a b))
(+.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 y 4) (sqrt.f64 x))) (+.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b)))))
(+.f64 (*.f64 -1/360 (*.f64 (pow.f64 y 6) (sqrt.f64 x))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 y 4) (sqrt.f64 x))) (+.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b))))))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(*.f64 -1/3 (/.f64 a b))
(*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(*.f64 -1/3 (/.f64 a b))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(*.f64 -1/3 (/.f64 a b))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(*.f64 -1/3 (/.f64 a b))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
Outputs
(*.f64 -1/3 (/.f64 a b))
(/.f64 a (/.f64 b -1/3))
(*.f64 -1/3 (/.f64 a b))
(/.f64 a (/.f64 b -1/3))
(*.f64 -1/3 (/.f64 a b))
(/.f64 a (/.f64 b -1/3))
(*.f64 -1/3 (/.f64 a b))
(/.f64 a (/.f64 b -1/3))
(*.f64 -1/3 (/.f64 a b))
(/.f64 a (/.f64 b -1/3))
(*.f64 -1/3 (/.f64 a b))
(/.f64 a (/.f64 b -1/3))
(*.f64 -1/3 (/.f64 a b))
(/.f64 a (/.f64 b -1/3))
(*.f64 -1/3 (/.f64 a b))
(/.f64 a (/.f64 b -1/3))
(*.f64 -1/3 (/.f64 a b))
(/.f64 a (/.f64 b -1/3))
(*.f64 -1/3 (/.f64 a b))
(/.f64 a (/.f64 b -1/3))
(*.f64 -1/3 (/.f64 a b))
(/.f64 a (/.f64 b -1/3))
(*.f64 -1/3 (/.f64 a b))
(/.f64 a (/.f64 b -1/3))
(*.f64 -1/3 (/.f64 a b))
(/.f64 a (/.f64 b -1/3))
(*.f64 -1/3 (/.f64 a b))
(/.f64 a (/.f64 b -1/3))
(*.f64 -1/3 (/.f64 a b))
(/.f64 a (/.f64 b -1/3))
(*.f64 -1/3 (/.f64 a b))
(/.f64 a (/.f64 b -1/3))
(*.f64 -1/3 (/.f64 a b))
(/.f64 a (/.f64 b -1/3))
(*.f64 -1/3 (/.f64 a b))
(/.f64 a (/.f64 b -1/3))
(*.f64 -1/3 (/.f64 a b))
(/.f64 a (/.f64 b -1/3))
(*.f64 -1/3 (/.f64 a b))
(/.f64 a (/.f64 b -1/3))
(*.f64 -1/3 (/.f64 a b))
(/.f64 a (/.f64 b -1/3))
(*.f64 -1/3 (/.f64 a b))
(/.f64 a (/.f64 b -1/3))
(*.f64 -1/3 (/.f64 a b))
(/.f64 a (/.f64 b -1/3))
(*.f64 -1/3 (/.f64 a b))
(/.f64 a (/.f64 b -1/3))
(+.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (sqrt.f64 x) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 2 (sqrt.f64 x)))
(fma.f64 2 (sqrt.f64 x) (/.f64 a (/.f64 b -1/3)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b))))
(fma.f64 -1 (*.f64 (sqrt.f64 x) (*.f64 y y)) (fma.f64 2 (sqrt.f64 x) (*.f64 -1/3 (/.f64 a b))))
(+.f64 (*.f64 -1/3 (/.f64 a b)) (*.f64 (sqrt.f64 x) (+.f64 (neg.f64 (*.f64 y y)) 2)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (sqrt.f64 x) (fma.f64 (neg.f64 y) y 2)))
(fma.f64 (sqrt.f64 x) (fma.f64 y (neg.f64 y) 2) (/.f64 a (/.f64 b -1/3)))
(fma.f64 (sqrt.f64 x) (-.f64 2 (*.f64 y y)) (*.f64 -1/3 (/.f64 a b)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 y 4) (sqrt.f64 x))) (+.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b)))))
(fma.f64 -1 (*.f64 (sqrt.f64 x) (*.f64 y y)) (fma.f64 1/12 (*.f64 (sqrt.f64 x) (pow.f64 y 4)) (fma.f64 2 (sqrt.f64 x) (*.f64 -1/3 (/.f64 a b)))))
(-.f64 (+.f64 (*.f64 -1/3 (/.f64 a b)) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 1/12 (pow.f64 y 4)) 2))) (*.f64 (sqrt.f64 x) (*.f64 y y)))
(+.f64 (/.f64 a (/.f64 b -1/3)) (*.f64 (sqrt.f64 x) (+.f64 (fma.f64 (neg.f64 y) y (*.f64 1/12 (pow.f64 y 4))) 2)))
(fma.f64 (sqrt.f64 x) (fma.f64 y (neg.f64 y) (fma.f64 1/12 (pow.f64 y 4) 2)) (/.f64 a (/.f64 b -1/3)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (sqrt.f64 x) (-.f64 (fma.f64 1/12 (pow.f64 y 4) 2) (*.f64 y y))))
(+.f64 (*.f64 -1/360 (*.f64 (pow.f64 y 6) (sqrt.f64 x))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 y 4) (sqrt.f64 x))) (+.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b))))))
(fma.f64 -1/360 (*.f64 (sqrt.f64 x) (pow.f64 y 6)) (fma.f64 -1 (*.f64 (sqrt.f64 x) (*.f64 y y)) (fma.f64 1/12 (*.f64 (sqrt.f64 x) (pow.f64 y 4)) (fma.f64 2 (sqrt.f64 x) (*.f64 -1/3 (/.f64 a b))))))
(+.f64 (+.f64 (*.f64 -1/3 (/.f64 a b)) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 1/12 (pow.f64 y 4)) 2))) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 -1/360 (pow.f64 y 6)) (neg.f64 (*.f64 y y)))))
(+.f64 (/.f64 a (/.f64 b -1/3)) (*.f64 (sqrt.f64 x) (+.f64 (-.f64 (*.f64 -1/360 (pow.f64 y 6)) (*.f64 y y)) (fma.f64 1/12 (pow.f64 y 4) 2))))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 -1/360 (pow.f64 y 6)) (fma.f64 y (neg.f64 y) (fma.f64 1/12 (pow.f64 y 4) 2)))))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 -1/360 (pow.f64 y 6)) (-.f64 (fma.f64 1/12 (pow.f64 y 4) 2) (*.f64 y y)))))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (/.f64 b -1/3)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (/.f64 b -1/3)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (/.f64 b -1/3)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (/.f64 b -1/3)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (/.f64 b -1/3)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (/.f64 b -1/3)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (/.f64 b -1/3)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (/.f64 b -1/3)))
(*.f64 -1/3 (/.f64 a b))
(/.f64 a (/.f64 b -1/3))
(*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))
(*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)))
(*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (/.f64 b -1/3)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (/.f64 b -1/3)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (/.f64 b -1/3)))
(*.f64 -1/3 (/.f64 a b))
(/.f64 a (/.f64 b -1/3))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (/.f64 b -1/3)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (/.f64 b -1/3)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (/.f64 b -1/3)))
(*.f64 -1/3 (/.f64 a b))
(/.f64 a (/.f64 b -1/3))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (/.f64 b -1/3)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (/.f64 b -1/3)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (/.f64 b -1/3)))
(*.f64 -1/3 (/.f64 a b))
(/.f64 a (/.f64 b -1/3))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (/.f64 b -1/3)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (/.f64 b -1/3)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (/.f64 b -1/3)))
(*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))
(*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)))
(*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (/.f64 b -1/3)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (/.f64 b -1/3)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (/.f64 b -1/3)))
(*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))
(*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)))
(*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (/.f64 b -1/3)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (/.f64 b -1/3)))
(+.f64 (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 -1/3 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 a b) (*.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(fma.f64 -1/3 (/.f64 a b) (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 y)) (/.f64 a (/.f64 b -1/3)))

eval33.0ms (0.4%)

Compiler

Compiled 1818 to 958 computations (47.3% saved)

prune146.0ms (1.6%)

Pruning

26 alts after pruning (25 fresh and 1 done)

PrunedKeptTotal
New959104
Fresh91625
Picked101
Done011
Total10526131
Error
15.6b
Counts
131 → 26
Alt Table
Click to see full alt table
StatusErrorProgram
42.9b
(sqrt.f64 (pow.f64 (fma.f64 a (/.f64 -1/3 b) (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))) 2))
26.0b
(fma.f64 2 (sqrt.f64 x) (/.f64 a (*.f64 b -3)))
35.4b
(fma.f64 2 (+.f64 (*.f64 -1/18 (*.f64 (*.f64 (pow.f64 t 2) (*.f64 (pow.f64 z 2) (cos.f64 y))) (sqrt.f64 x))) (+.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 1/3 (*.f64 (*.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))))) (*.f64 a (/.f64 -1/3 b)))
18.6b
(fma.f64 2 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) (sqrt.f64 x))) 3) (/.f64 a (*.f64 b -3)))
25.5b
(fma.f64 2 (cbrt.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 (cos.f64 y) 3))) (/.f64 a (*.f64 b -3)))
35.6b
(pow.f64 (sqrt.f64 (fma.f64 a (/.f64 -1/3 b) (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))))) 2)
18.3b
(+.f64 0 (fma.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x) (/.f64 (*.f64 a -1/3) b)))
25.1b
(fma.f64 2 (*.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) 2))) (*.f64 a (/.f64 -1/3 b)))
25.1b
(fma.f64 2 (sqrt.f64 (*.f64 x (pow.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) 2))) (*.f64 a (/.f64 -1/3 b)))
26.8b
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (sqrt.f64 (*.f64 (*.f64 t t) 1/9)) y))) (*.f64 a (/.f64 -1/3 b)))
25.1b
(fma.f64 2 (+.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 1/3 (*.f64 (*.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x)))) (*.f64 a (/.f64 -1/3 b)))
45.1b
(fma.f64 2 (+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) (sqrt.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) (sqrt.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) (sqrt.f64 x))))) (/.f64 a (*.f64 b -3)))
29.4b
(fma.f64 2 (exp.f64 (log.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)))) (/.f64 a (*.f64 b -3)))
21.7b
(fma.f64 2 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x))) 3) (*.f64 a (/.f64 -1/3 b)))
21.5b
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (pow.f64 (cbrt.f64 (*.f64 t -1/3)) 3) y))) (*.f64 a (/.f64 -1/3 b)))
49.5b
(pow.f64 (pow.f64 (fma.f64 a (/.f64 -1/3 b) (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))) 3) 1/3)
21.5b
(fma.f64 2 (*.f64 (sqrt.f64 x) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y))))))) (*.f64 a (/.f64 -1/3 b)))
29.3b
(fma.f64 2 (*.f64 (cos.f64 (*.f64 -1/3 (*.f64 t z))) (sqrt.f64 x)) (*.f64 a (/.f64 -1/3 b)))
45.0b
(fma.f64 2 (log.f64 (pow.f64 (exp.f64 (cos.f64 y)) (sqrt.f64 x))) (/.f64 a (*.f64 b -3)))
21.0b
(fma.f64 2 (*.f64 (sqrt.f64 x) (fma.f64 (cos.f64 (*.f64 (*.f64 z t) -1/3)) (cos.f64 y) (neg.f64 (*.f64 (sin.f64 (*.f64 (*.f64 z t) -1/3)) (sin.f64 y))))) (*.f64 a (/.f64 -1/3 b)))
21.0b
(fma.f64 2 (*.f64 (sqrt.f64 x) (+.f64 (fma.f64 (cos.f64 (*.f64 (*.f64 z t) -1/3)) (cos.f64 y) (neg.f64 (*.f64 (sin.f64 y) (sin.f64 (*.f64 (*.f64 z t) -1/3))))) (fma.f64 (neg.f64 (sin.f64 y)) (sin.f64 (*.f64 (*.f64 z t) -1/3)) (*.f64 (sin.f64 y) (sin.f64 (*.f64 (*.f64 z t) -1/3)))))) (*.f64 a (/.f64 -1/3 b)))
53.0b
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (pow.f64 (sqrt.f64 (*.f64 t -1/3)) 2) y))) (*.f64 a (/.f64 -1/3 b)))
18.7b
(+.f64 0 (fma.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 3)))
21.9b
(fma.f64 2 (*.f64 (sqrt.f64 x) (+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)))) (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y))))))) (*.f64 a (/.f64 -1/3 b)))
37.9b
(fma.f64 2 (*.f64 (sqrt.f64 x) (+.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 z (*.f64 t -1/3) y)))) (cos.f64 1)) (*.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 z (*.f64 t -1/3) y)))) (sin.f64 1)))) (*.f64 a (/.f64 -1/3 b)))
30.7b
(fma.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 a (expm1.f64 (log1p.f64 (/.f64 -1/3 b)))))
Compiler

Compiled 731 to 544 computations (25.6% saved)

regimes930.0ms (10.4%)

Accuracy

Total -46.8b remaining (-278%)

Threshold costs -46.8b (-278%)

Counts
50 → 3
Calls
Call 1
Inputs
(sqrt.f64 (pow.f64 (fma.f64 a (/.f64 -1/3 b) (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))) 2))
(fma.f64 2 (sqrt.f64 x) (/.f64 a (*.f64 b -3)))
(fma.f64 2 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) (sqrt.f64 x))) 3) (/.f64 a (*.f64 b -3)))
(fma.f64 2 (cbrt.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 (cos.f64 y) 3))) (/.f64 a (*.f64 b -3)))
(pow.f64 (sqrt.f64 (fma.f64 a (/.f64 -1/3 b) (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x))))) 2)
(fma.f64 2 (+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) (sqrt.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) (sqrt.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) (sqrt.f64 x))))) (/.f64 a (*.f64 b -3)))
(fma.f64 2 (exp.f64 (log.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)))) (/.f64 a (*.f64 b -3)))
(pow.f64 (pow.f64 (fma.f64 a (/.f64 -1/3 b) (*.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)))) 3) 1/3)
(fma.f64 2 (log.f64 (pow.f64 (exp.f64 (cos.f64 y)) (sqrt.f64 x))) (/.f64 a (*.f64 b -3)))
(+.f64 0 (sqrt.f64 (pow.f64 (fma.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 -1/3 (/.f64 a b))) 2)))
(+.f64 0 (fma.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 a b))) 3)))
(pow.f64 (pow.f64 (fma.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x) (/.f64 (*.f64 a -1/3) b)) 3) 1/3)
(fma.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)) (/.f64 a (*.f64 b -3)))
(fma.f64 2 (sqrt.f64 x) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 2 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) (sqrt.f64 x))) 3) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 2 (+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) (sqrt.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) (sqrt.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) (sqrt.f64 x))))) (*.f64 a (/.f64 -1/3 b)))
(+.f64 0 (fma.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x) (/.f64 (*.f64 a -1/3) b)))
(fma.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 a -1/3) b)) 3))
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x) (/.f64 (*.f64 a -1/3) b)) 2))
(fma.f64 2 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3/2))) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 a (expm1.f64 (log1p.f64 (/.f64 -1/3 b)))))
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x) (/.f64 (*.f64 a -1/3) b))) 2)
(fma.f64 2 (exp.f64 (log.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)))) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 2 (log.f64 (pow.f64 (exp.f64 (cos.f64 y)) (sqrt.f64 x))) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (cbrt.f64 (pow.f64 (*.f64 t -1/3) 3)) y))) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 2 (+.f64 (*.f64 -1/18 (*.f64 (*.f64 (pow.f64 t 2) (*.f64 (pow.f64 z 2) (cos.f64 y))) (sqrt.f64 x))) (+.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 1/3 (*.f64 (*.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x))))) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 2 (log.f64 (pow.f64 (exp.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y))) (sqrt.f64 x))) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) 2))) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 2 (sqrt.f64 (*.f64 x (pow.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) 2))) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (sqrt.f64 (*.f64 (*.f64 t t) 1/9)) 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 (pow.f64 b -1) -1/3)))
(fma.f64 2 (+.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 1/3 (*.f64 (*.f64 t (*.f64 z (sin.f64 y))) (sqrt.f64 x)))) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (pow.f64 (sqrt.f64 (*.f64 t -1/3)) 2) y))) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 2 (*.f64 (cos.f64 y) (sqrt.f64 x)) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 2 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x))) 3) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (pow.f64 (cbrt.f64 (*.f64 t -1/3)) 3) y))) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (*.f64 t -1/3) y))) (*.f64 a (*.f64 (cbrt.f64 (/.f64 1/9 (*.f64 b b))) (cbrt.f64 (/.f64 -1/3 b)))))
(fma.f64 2 (*.f64 (sqrt.f64 x) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y))))))) (*.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 (sqrt.f64 (/.f64 1/9 (*.f64 b b)))))
(fma.f64 2 (*.f64 (sqrt.f64 x) (+.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 z (*.f64 t -1/3) y)))) (cos.f64 1)) (*.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 z (*.f64 t -1/3) y)))) (sin.f64 1)))) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (fma.f64 (cos.f64 (*.f64 (*.f64 z t) -1/3)) (cos.f64 y) (neg.f64 (*.f64 (sin.f64 (*.f64 (*.f64 z t) -1/3)) (sin.f64 y))))) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (+.f64 (fma.f64 (cos.f64 (*.f64 (*.f64 z t) -1/3)) (cos.f64 y) (neg.f64 (*.f64 (sin.f64 y) (sin.f64 (*.f64 (*.f64 z t) -1/3))))) (fma.f64 (neg.f64 (sin.f64 y)) (sin.f64 (*.f64 (*.f64 z t) -1/3)) (*.f64 (sin.f64 y) (sin.f64 (*.f64 (*.f64 z t) -1/3)))))) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 2 (expm1.f64 (log1p.f64 (*.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) (sqrt.f64 x)))) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 2 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)) 3) (pow.f64 x 3/2))) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)))) 1)) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 2 (*.f64 (cos.f64 (*.f64 -1/3 (*.f64 t z))) (sqrt.f64 x)) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)))) (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y)))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 z (*.f64 t -1/3) y))))))) (*.f64 a (/.f64 -1/3 b)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (*.f64 t -1/3) y))) (*.f64 a (pow.f64 (*.f64 b -3) -1)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (cos.f64 (fma.f64 z (*.f64 t -1/3) y))) (*.f64 a (/.f64 -1/3 b)))
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (/.f64 a (*.f64 b 3)))
Outputs
(fma.f64 2 (sqrt.f64 x) (/.f64 a (*.f64 b -3)))
(fma.f64 2 (*.f64 (sqrt.f64 x) (fma.f64 (cos.f64 (*.f64 (*.f64 z t) -1/3)) (cos.f64 y) (neg.f64 (*.f64 (sin.f64 (*.f64 (*.f64 z t) -1/3)) (sin.f64 y))))) (*.f64 a (/.f64 -1/3 b)))
(+.f64 0 (fma.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x) (/.f64 (*.f64 a -1/3) b)))
Results
TimeErrorSegmentsBranch
25.0ms18.3b1x
26.0ms18.3b1y
28.0ms18.3b1z
75.0ms16.8b3t
26.0ms18.3b1a
26.0ms18.3b1b
54.0ms17.2b2(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (/.f64 a (*.f64 b 3)))
75.0ms17.2b2(*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
27.0ms18.3b1(*.f64 2 (sqrt.f64 x))
26.0ms18.3b1(sqrt.f64 x)
43.0ms17.3b2(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))
44.0ms17.3b2(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))
67.0ms17.1b3(-.f64 y (/.f64 (*.f64 z t) 3))
69.0ms17.1b3(-.f64 y (/.f64 (*.f64 z t) 3))
56.0ms17.0b3(/.f64 (*.f64 z t) 3)
56.0ms17.0b3(/.f64 (*.f64 z t) 3)
80.0ms17.0b3(*.f64 z t)
60.0ms18.3b1(/.f64 a (*.f64 b 3))
26.0ms18.3b1(*.f64 b 3)
Compiler

Compiled 1211 to 742 computations (38.7% saved)

bsearch226.0ms (2.5%)

Algorithm
binary-search
Steps
TimePointRange
126.0ms
3.958476907111862e+127
∈ [
3.958476907111862e+127
,
7.143292162417321e+129
]
98.0ms
-4.172953837863416e-90
∈ [
-4.172953837863416e-90
,
-7.114011116376457e-93
]
Compiler

Compiled 34 to 27 computations (20.6% saved)

simplify6.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
04088
15788
26688
37188
47388
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 t -38282655406920808/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (fma.f64 2 (sqrt.f64 x) (/.f64 a (*.f64 b -3))) (if (<=.f64 t 39584769071118618224120487460310072921175312957396056259015438407149230011715668207114794867492479567518340212839415548020260864) (fma.f64 2 (*.f64 (sqrt.f64 x) (fma.f64 (cos.f64 (*.f64 (*.f64 z t) -1/3)) (cos.f64 y) (neg.f64 (*.f64 (sin.f64 (*.f64 (*.f64 z t) -1/3)) (sin.f64 y))))) (*.f64 a (/.f64 -1/3 b))) (+.f64 0 (fma.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x) (/.f64 (*.f64 a -1/3) b)))))
Outputs
(if (<=.f64 t -38282655406920808/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (fma.f64 2 (sqrt.f64 x) (/.f64 a (*.f64 b -3))) (if (<=.f64 t 39584769071118618224120487460310072921175312957396056259015438407149230011715668207114794867492479567518340212839415548020260864) (fma.f64 2 (*.f64 (sqrt.f64 x) (fma.f64 (cos.f64 (*.f64 (*.f64 z t) -1/3)) (cos.f64 y) (neg.f64 (*.f64 (sin.f64 (*.f64 (*.f64 z t) -1/3)) (sin.f64 y))))) (*.f64 a (/.f64 -1/3 b))) (+.f64 0 (fma.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x) (/.f64 (*.f64 a -1/3) b)))))
(if (<=.f64 t -4785331925865101/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312) (fma.f64 2 (sqrt.f64 x) (/.f64 a (*.f64 b -3))) (if (<=.f64 t 39584769071118618224120487460310072921175312957396056259015438407149230011715668207114794867492479567518340212839415548020260864) (fma.f64 2 (*.f64 (sqrt.f64 x) (fma.f64 (cos.f64 (*.f64 (*.f64 t z) -1/3)) (cos.f64 y) (*.f64 (sin.f64 (*.f64 (*.f64 t z) -1/3)) (neg.f64 (sin.f64 y))))) (*.f64 a (/.f64 -1/3 b))) (fma.f64 (*.f64 2 (cos.f64 y)) (sqrt.f64 x) (/.f64 (*.f64 a -1/3) b))))

end57.0ms (0.6%)

Stop Event
fuel
Compiler

Compiled 256 to 168 computations (34.4% saved)

Profiling

Loading profile data...