Details

analyze842.0ms (4%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.7%	0.3%	0%	0%	0%	0
0%	0%	99.7%	0.3%	0%	0%	0%	1
0%	0%	99.7%	0.3%	0%	0%	0%	2
0%	0%	99.7%	0.3%	0%	0%	0%	3
0%	0%	99.7%	0.3%	0%	0%	0%	4
0%	0%	99.7%	0.3%	0%	0%	0%	5
0%	0%	99.7%	0.3%	0%	0%	0%	6
0%	0%	99.7%	0.3%	0%	0%	0%	7
0%	0%	99.7%	0.3%	0%	0%	0%	8
0%	0%	99.7%	0.3%	0%	0%	0%	9
0%	0%	99.7%	0.3%	0%	0%	0%	10
0%	0%	99.7%	0.3%	0%	0%	0%	11
0%	0%	99.7%	0.3%	0%	0%	0%	12

Compiler

Compiled 25 to 18 computations (28% saved)

sample3.4s (15.9%)

Results

2.2s	8256×	body	256	valid
1.1s	4118×	body	256	infinite

Bogosity

preprocess120.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

436×	`fma-neg_binary64`
431×	`+-commutative_binary64`
427×	`cancel-sign-sub_binary64`
396×	`associate-+l+_binary64`
365×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	127	506
1	355	506
2	947	484
3	2470	462
4	5306	462
0	7	7
1	7	7

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1
2
3
4
5
6

Outputs
0
1
0
2
3
2
4
5
4
6

Call 2

Inputs
(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
(+.f64 (-.f64 (+.f64 (.f64 y x) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
(+.f64 (-.f64 (+.f64 (.f64 z y) (/.f64 (.f64 x t) 16)) (/.f64 (*.f64 a b) 4)) c)
(+.f64 (-.f64 (+.f64 (.f64 t y) (/.f64 (.f64 z x) 16)) (/.f64 (*.f64 a b) 4)) c)
(+.f64 (-.f64 (+.f64 (.f64 a y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 x b) 4)) c)
(+.f64 (-.f64 (+.f64 (.f64 b y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a x) 4)) c)
(+.f64 (-.f64 (+.f64 (.f64 c y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) x)
(+.f64 (-.f64 (+.f64 (.f64 x z) (/.f64 (.f64 y t) 16)) (/.f64 (*.f64 a b) 4)) c)
(+.f64 (-.f64 (+.f64 (.f64 x t) (/.f64 (.f64 z y) 16)) (/.f64 (*.f64 a b) 4)) c)
(+.f64 (-.f64 (+.f64 (.f64 x a) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 y b) 4)) c)
(+.f64 (-.f64 (+.f64 (.f64 x b) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a y) 4)) c)
(+.f64 (-.f64 (+.f64 (.f64 x c) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) y)
(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)) (/.f64 (*.f64 a b) 4)) c)
(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 a t) 16)) (/.f64 (*.f64 z b) 4)) c)
(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 b t) 16)) (/.f64 (*.f64 a z) 4)) c)
(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 c t) 16)) (/.f64 (*.f64 a b) 4)) z)
(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z a) 16)) (/.f64 (*.f64 t b) 4)) c)
(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z b) 16)) (/.f64 (*.f64 a t) 4)) c)
(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z c) 16)) (/.f64 (*.f64 a b) 4)) t)
(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 b a) 4)) c)
(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 c b) 4)) a)
(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a c) 4)) b)

Outputs
(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
(+.f64 (-.f64 (fma.f64 x y (/.f64 z (/.f64 16 t))) (/.f64 a (/.f64 4 b))) c)
(+.f64 (-.f64 (fma.f64 x y (*.f64 (/.f64 z 16) t)) (/.f64 a (/.f64 4 b))) c)
(fma.f64 x y (fma.f64 (/.f64 z 16) t (fma.f64 -1 (*.f64 a (/.f64 b 4)) c)))
(fma.f64 x y (fma.f64 z (/.f64 t 16) (-.f64 c (*.f64 a (/.f64 b 4)))))
(+.f64 (fma.f64 x y (fma.f64 z (/.f64 t 16) (.f64 a (.f64 -1/4 b)))) c)
(+.f64 (-.f64 (+.f64 (.f64 y x) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
(+.f64 (-.f64 (fma.f64 x y (/.f64 z (/.f64 16 t))) (/.f64 a (/.f64 4 b))) c)
(+.f64 (-.f64 (fma.f64 x y (*.f64 (/.f64 z 16) t)) (/.f64 a (/.f64 4 b))) c)
(fma.f64 x y (fma.f64 (/.f64 z 16) t (fma.f64 -1 (*.f64 a (/.f64 b 4)) c)))
(fma.f64 x y (fma.f64 z (/.f64 t 16) (-.f64 c (*.f64 a (/.f64 b 4)))))
(+.f64 (fma.f64 x y (fma.f64 z (/.f64 t 16) (.f64 a (.f64 -1/4 b)))) c)
(+.f64 (-.f64 (+.f64 (.f64 z y) (/.f64 (.f64 x t) 16)) (/.f64 (*.f64 a b) 4)) c)
(-.f64 (fma.f64 z y (/.f64 x (/.f64 16 t))) (-.f64 (/.f64 a (/.f64 4 b)) c))
(+.f64 c (-.f64 (fma.f64 y z (*.f64 (/.f64 x 16) t)) (/.f64 a (/.f64 4 b))))
(fma.f64 y z (fma.f64 (/.f64 x 16) t (fma.f64 -1 (*.f64 a (/.f64 b 4)) c)))
(fma.f64 y z (fma.f64 t (/.f64 x 16) (-.f64 c (*.f64 a (/.f64 b 4)))))
(fma.f64 y z (+.f64 c (fma.f64 t (/.f64 x 16) (.f64 a (.f64 -1/4 b)))))
(+.f64 (-.f64 (+.f64 (.f64 t y) (/.f64 (.f64 z x) 16)) (/.f64 (*.f64 a b) 4)) c)
(-.f64 (fma.f64 t y (/.f64 z (/.f64 16 x))) (-.f64 (/.f64 a (/.f64 4 b)) c))
(+.f64 c (-.f64 (fma.f64 y t (/.f64 z (/.f64 16 x))) (/.f64 a (/.f64 4 b))))
(fma.f64 y t (fma.f64 (/.f64 z 16) x (fma.f64 -1 (*.f64 a (/.f64 b 4)) c)))
(fma.f64 y t (fma.f64 x (/.f64 z 16) (-.f64 c (*.f64 a (/.f64 b 4)))))
(+.f64 c (fma.f64 y t (fma.f64 x (/.f64 z 16) (.f64 a (.f64 -1/4 b)))))
(+.f64 (-.f64 (+.f64 (.f64 a y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 x b) 4)) c)
(-.f64 (fma.f64 a y (/.f64 z (/.f64 16 t))) (-.f64 (/.f64 x (/.f64 4 b)) c))
(+.f64 c (fma.f64 y a (-.f64 (.f64 (/.f64 z 16) t) (.f64 (/.f64 x 4) b))))
(fma.f64 y a (fma.f64 (/.f64 z 16) t (fma.f64 -1 (*.f64 (/.f64 b 4) x) c)))
(fma.f64 y a (fma.f64 z (/.f64 t 16) (-.f64 c (*.f64 x (/.f64 b 4)))))
(+.f64 (-.f64 (+.f64 (.f64 b y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a x) 4)) c)
(-.f64 (fma.f64 b y (/.f64 z (/.f64 16 t))) (-.f64 (/.f64 (*.f64 x a) 4) c))
(+.f64 c (fma.f64 y b (-.f64 (.f64 (/.f64 z 16) t) (.f64 (/.f64 a 4) x))))
(fma.f64 y b (fma.f64 (/.f64 z 16) t (fma.f64 -1 (*.f64 x (/.f64 a 4)) c)))
(fma.f64 (/.f64 z 16) t (fma.f64 y b (-.f64 c (*.f64 x (/.f64 a 4)))))
(+.f64 c (fma.f64 z (/.f64 t 16) (fma.f64 y b (.f64 x (.f64 -1/4 a)))))
(+.f64 (-.f64 (+.f64 (.f64 c y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) x)
(-.f64 (fma.f64 c y (/.f64 z (/.f64 16 t))) (-.f64 (/.f64 a (/.f64 4 b)) x))
(+.f64 x (-.f64 (fma.f64 y c (*.f64 (/.f64 z 16) t)) (/.f64 a (/.f64 4 b))))
(fma.f64 y c (fma.f64 (/.f64 z 16) t (fma.f64 -1 (*.f64 a (/.f64 b 4)) x)))
(fma.f64 y c (fma.f64 z (/.f64 t 16) (-.f64 x (*.f64 a (/.f64 b 4)))))
(+.f64 x (fma.f64 y c (fma.f64 z (/.f64 t 16) (.f64 a (.f64 -1/4 b)))))
(+.f64 (-.f64 (+.f64 (.f64 x z) (/.f64 (.f64 y t) 16)) (/.f64 (*.f64 a b) 4)) c)
(-.f64 (fma.f64 x z (/.f64 y (/.f64 16 t))) (-.f64 (/.f64 a (/.f64 4 b)) c))
(+.f64 c (-.f64 (fma.f64 x z (/.f64 y (/.f64 16 t))) (/.f64 a (/.f64 4 b))))
(fma.f64 x z (fma.f64 (/.f64 y 16) t (fma.f64 -1 (*.f64 a (/.f64 b 4)) c)))
(fma.f64 x z (fma.f64 t (/.f64 y 16) (-.f64 c (*.f64 a (/.f64 b 4)))))
(+.f64 c (fma.f64 x z (fma.f64 t (/.f64 y 16) (.f64 a (.f64 -1/4 b)))))
(+.f64 (-.f64 (+.f64 (.f64 x t) (/.f64 (.f64 z y) 16)) (/.f64 (*.f64 a b) 4)) c)
(+.f64 c (-.f64 (fma.f64 x t (/.f64 z (/.f64 16 y))) (/.f64 a (/.f64 4 b))))
(+.f64 c (-.f64 (fma.f64 x t (*.f64 (/.f64 z 16) y)) (/.f64 a (/.f64 4 b))))
(fma.f64 (/.f64 z 16) y (fma.f64 x t (fma.f64 -1 (*.f64 a (/.f64 b 4)) c)))
(fma.f64 (/.f64 z 16) y (fma.f64 x t (-.f64 c (*.f64 a (/.f64 b 4)))))
(+.f64 c (fma.f64 x t (fma.f64 y (/.f64 z 16) (.f64 a (.f64 -1/4 b)))))
(+.f64 (-.f64 (+.f64 (.f64 x a) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 y b) 4)) c)
(-.f64 (fma.f64 x a (/.f64 z (/.f64 16 t))) (-.f64 (/.f64 y (/.f64 4 b)) c))
(+.f64 c (fma.f64 x a (-.f64 (.f64 (/.f64 z 16) t) (.f64 (/.f64 y 4) b))))
(fma.f64 x a (fma.f64 (/.f64 z 16) t (fma.f64 -1 (*.f64 b (/.f64 y 4)) c)))
(fma.f64 x a (fma.f64 z (/.f64 t 16) (-.f64 c (*.f64 y (/.f64 b 4)))))
(+.f64 c (fma.f64 x a (fma.f64 z (/.f64 t 16) (.f64 -1/4 (.f64 y b)))))
(+.f64 (-.f64 (+.f64 (.f64 x b) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a y) 4)) c)
(+.f64 c (-.f64 (fma.f64 x b (/.f64 z (/.f64 16 t))) (/.f64 a (/.f64 4 y))))
(+.f64 c (fma.f64 x b (-.f64 (.f64 (/.f64 z 16) t) (.f64 (/.f64 a 4) y))))
(fma.f64 x b (fma.f64 (/.f64 z 16) t (fma.f64 -1 (*.f64 y (/.f64 a 4)) c)))
(fma.f64 x b (fma.f64 z (/.f64 t 16) (-.f64 c (*.f64 y (/.f64 a 4)))))
(fma.f64 x b (fma.f64 z (/.f64 t 16) (+.f64 c (.f64 y (.f64 -1/4 a)))))
(+.f64 (-.f64 (+.f64 (.f64 x c) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) y)
(-.f64 (fma.f64 x c (/.f64 z (/.f64 16 t))) (-.f64 (/.f64 a (/.f64 4 b)) y))
(+.f64 y (-.f64 (fma.f64 x c (*.f64 (/.f64 z 16) t)) (/.f64 a (/.f64 4 b))))
(fma.f64 (/.f64 z 16) t (fma.f64 x c (fma.f64 -1 (*.f64 a (/.f64 b 4)) y)))
(fma.f64 x c (fma.f64 z (/.f64 t 16) (-.f64 y (*.f64 a (/.f64 b 4)))))
(+.f64 y (fma.f64 x c (fma.f64 z (/.f64 t 16) (.f64 a (.f64 -1/4 b)))))
(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)) (/.f64 (*.f64 a b) 4)) c)
(+.f64 (-.f64 (fma.f64 x y (/.f64 z (/.f64 16 t))) (/.f64 a (/.f64 4 b))) c)
(+.f64 (-.f64 (fma.f64 x y (*.f64 (/.f64 z 16) t)) (/.f64 a (/.f64 4 b))) c)
(fma.f64 x y (fma.f64 (/.f64 z 16) t (fma.f64 -1 (*.f64 a (/.f64 b 4)) c)))
(fma.f64 x y (fma.f64 z (/.f64 t 16) (-.f64 c (*.f64 a (/.f64 b 4)))))
(+.f64 (fma.f64 x y (fma.f64 z (/.f64 t 16) (.f64 a (.f64 -1/4 b)))) c)
(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 a t) 16)) (/.f64 (*.f64 z b) 4)) c)
(-.f64 (fma.f64 x y (/.f64 a (/.f64 16 t))) (-.f64 (/.f64 z (/.f64 4 b)) c))
(-.f64 (fma.f64 x y (*.f64 (/.f64 a 16) t)) (-.f64 (/.f64 z (/.f64 4 b)) c))
(fma.f64 x y (fma.f64 (/.f64 a 16) t (fma.f64 -1 (*.f64 b (/.f64 z 4)) c)))
(fma.f64 x y (fma.f64 t (/.f64 a 16) (-.f64 c (*.f64 b (/.f64 z 4)))))
(+.f64 c (fma.f64 t (/.f64 a 16) (fma.f64 x y (.f64 z (.f64 -1/4 b)))))
(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 b t) 16)) (/.f64 (*.f64 a z) 4)) c)
(-.f64 (fma.f64 x y (/.f64 b (/.f64 16 t))) (-.f64 (/.f64 a (/.f64 4 z)) c))
(-.f64 (fma.f64 x y (.f64 (/.f64 b 16) t)) (-.f64 (.f64 (/.f64 a 4) z) c))
(fma.f64 x y (fma.f64 (/.f64 b 16) t (fma.f64 -1 (*.f64 z (/.f64 a 4)) c)))
(fma.f64 x y (fma.f64 t (/.f64 b 16) (-.f64 c (*.f64 z (/.f64 a 4)))))
(+.f64 c (fma.f64 x y (fma.f64 t (/.f64 b 16) (.f64 z (.f64 -1/4 a)))))
(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 c t) 16)) (/.f64 (*.f64 a b) 4)) z)
(-.f64 (fma.f64 x y (/.f64 c (/.f64 16 t))) (-.f64 (/.f64 a (/.f64 4 b)) z))
(+.f64 z (-.f64 (fma.f64 x y (*.f64 (/.f64 c 16) t)) (/.f64 a (/.f64 4 b))))
(fma.f64 x y (fma.f64 (/.f64 c 16) t (fma.f64 -1 (*.f64 a (/.f64 b 4)) z)))
(fma.f64 x y (fma.f64 t (/.f64 c 16) (-.f64 z (*.f64 a (/.f64 b 4)))))
(+.f64 z (fma.f64 x y (fma.f64 t (/.f64 c 16) (.f64 a (.f64 -1/4 b)))))
(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z a) 16)) (/.f64 (*.f64 t b) 4)) c)
(-.f64 (fma.f64 x y (/.f64 (*.f64 z a) 16)) (-.f64 (/.f64 t (/.f64 4 b)) c))
(-.f64 (fma.f64 x y (.f64 (/.f64 z 16) a)) (-.f64 (.f64 (/.f64 t 4) b) c))
(fma.f64 x y (fma.f64 (/.f64 z 16) a (fma.f64 -1 (*.f64 (/.f64 b 4) t) c)))
(fma.f64 x y (fma.f64 a (/.f64 z 16) (-.f64 c (*.f64 t (/.f64 b 4)))))
(+.f64 c (fma.f64 x y (fma.f64 a (/.f64 z 16) (.f64 t (.f64 -1/4 b)))))
(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z b) 16)) (/.f64 (*.f64 a t) 4)) c)
(+.f64 c (-.f64 (fma.f64 x y (/.f64 z (/.f64 16 b))) (/.f64 a (/.f64 4 t))))
(+.f64 c (-.f64 (fma.f64 x y (.f64 (/.f64 z 16) b)) (.f64 (/.f64 a 4) t)))
(fma.f64 x y (fma.f64 (/.f64 z 16) b (fma.f64 -1 (*.f64 t (/.f64 a 4)) c)))
(fma.f64 x y (fma.f64 b (/.f64 z 16) (-.f64 c (*.f64 t (/.f64 a 4)))))
(+.f64 c (fma.f64 b (/.f64 z 16) (fma.f64 x y (.f64 t (.f64 -1/4 a)))))
(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z c) 16)) (/.f64 (*.f64 a b) 4)) t)
(-.f64 (fma.f64 x y (/.f64 z (/.f64 16 c))) (-.f64 (/.f64 a (/.f64 4 b)) t))
(+.f64 t (-.f64 (fma.f64 x y (*.f64 (/.f64 z 16) c)) (/.f64 a (/.f64 4 b))))
(fma.f64 (/.f64 z 16) c (fma.f64 x y (fma.f64 -1 (*.f64 a (/.f64 b 4)) t)))
(fma.f64 x y (fma.f64 c (/.f64 z 16) (-.f64 t (*.f64 a (/.f64 b 4)))))
(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 b a) 4)) c)
(+.f64 (-.f64 (fma.f64 x y (/.f64 z (/.f64 16 t))) (/.f64 a (/.f64 4 b))) c)
(+.f64 (-.f64 (fma.f64 x y (*.f64 (/.f64 z 16) t)) (/.f64 a (/.f64 4 b))) c)
(fma.f64 x y (fma.f64 (/.f64 z 16) t (fma.f64 -1 (*.f64 a (/.f64 b 4)) c)))
(fma.f64 x y (fma.f64 z (/.f64 t 16) (-.f64 c (*.f64 a (/.f64 b 4)))))
(+.f64 (fma.f64 x y (fma.f64 z (/.f64 t 16) (.f64 a (.f64 -1/4 b)))) c)
(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 c b) 4)) a)
(+.f64 a (-.f64 (fma.f64 x y (/.f64 z (/.f64 16 t))) (/.f64 c (/.f64 4 b))))
(+.f64 a (-.f64 (fma.f64 x y (*.f64 (/.f64 z 16) t)) (/.f64 b (/.f64 4 c))))
(fma.f64 x y (fma.f64 (/.f64 z 16) t (fma.f64 -1 (/.f64 b (/.f64 4 c)) a)))
(fma.f64 x y (fma.f64 z (/.f64 t 16) (-.f64 a (*.f64 b (/.f64 c 4)))))
(fma.f64 x y (fma.f64 z (/.f64 t 16) (+.f64 a (.f64 b (.f64 -1/4 c)))))
(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a c) 4)) b)
(-.f64 (fma.f64 x y (/.f64 z (/.f64 16 t))) (-.f64 (/.f64 a (/.f64 4 c)) b))
(+.f64 b (-.f64 (fma.f64 x y (*.f64 (/.f64 z 16) t)) (/.f64 a (/.f64 4 c))))
(fma.f64 x y (fma.f64 (/.f64 z 16) t (fma.f64 -1 (*.f64 c (/.f64 a 4)) b)))
(fma.f64 x y (fma.f64 z (/.f64 t 16) (-.f64 b (*.f64 a (/.f64 c 4)))))
(+.f64 b (fma.f64 x y (fma.f64 z (/.f64 t 16) (.f64 a (.f64 -1/4 c)))))

Symmetry

(sort x y)

(sort z t)

(sort a b)

Compiler

Compiled 31 to 24 computations (22.6% saved)

simplify148.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1243×	`fma-neg_binary64`
515×	`fma-def_binary64`
259×	`cancel-sign-sub-inv_binary64`
147×	`distribute-rgt-in_binary64`
127×	`sub-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	18	23
1	34	23
2	77	22
3	174	21
4	416	19
5	928	19
6	1618	19
7	2661	19
8	3547	19
9	3711	19
10	3766	19
11	3776	19
12	3776	19
13	4092	19
14	4096	19
15	4096	19

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)

Outputs
(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
(-.f64 (fma.f64 x y (/.f64 z (/.f64 16 t))) (-.f64 (/.f64 a (/.f64 4 b)) c))
(-.f64 (fma.f64 x y (.f64 (/.f64 z 16) t)) (-.f64 (.f64 (/.f64 a 4) b) c))
(fma.f64 (/.f64 z 16) t (fma.f64 x y (fma.f64 -1 (*.f64 b (/.f64 a 4)) c)))
(fma.f64 t (/.f64 z 16) (fma.f64 x y (-.f64 c (*.f64 b (/.f64 a 4)))))
(fma.f64 x y (fma.f64 b (*.f64 -1/4 a) (fma.f64 t (/.f64 z 16) c)))
(fma.f64 x y (fma.f64 t (/.f64 z 16) (fma.f64 -1/4 (*.f64 a b) c)))
(fma.f64 x y (fma.f64 t (/.f64 z 16) (fma.f64 (*.f64 a b) -1/4 c)))
(fma.f64 x y (fma.f64 t (.f64 1/16 z) (fma.f64 (.f64 a b) -1/4 c)))
(fma.f64 x y (fma.f64 t (.f64 z 1/16) (fma.f64 (.f64 a b) -1/4 c)))

eval2.0ms (0%)

Compiler: Compiled 38 to 23 computations (39.5% saved)

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
▶	0.0b	(fma.f64 x y (fma.f64 t (.f64 z 1/16) (fma.f64 (.f64 a b) -1/4 c)))

Compiler

Compiled 45 to 31 computations (31.1% saved)

localize58.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (*.f64 a b) 4)
✓	0.0b	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))
✓	0.0b	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
✓	0.0b	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))

Compiler

Compiled 76 to 32 computations (57.9% saved)

series55.0ms (0.3%)

Counts

4 → 228

Calls

57 calls:

Time	Variable		Point	Expression
5.0ms	a	@	inf	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
3.0ms	b	@	0	(/.f64 (*.f64 a b) 4)
2.0ms	x	@	0	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
2.0ms	t	@	0	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
2.0ms	y	@	0	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))

rewrite171.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

554×	`fma-neg_binary64`
372×	`expm1-udef_binary64`
372×	`log1p-udef_binary64`
209×	`add-sqr-sqrt_binary64`
205×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	61
1	411	57
2	6067	57

Stop Event

1×	node limit

Counts

4 → 175

Calls

Call 1

Inputs
(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))
(/.f64 (*.f64 a b) 4)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x y) (fma.f64 z (.f64 t 1/16) (.f64 (.f64 a b) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x y) (.f64 (fma.f64 z (.f64 t 1/16) (.f64 (.f64 a b) -1/4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 z t) 1/16) (fma.f64 x y (.f64 (.f64 a b) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 z t) 1/16) (+.f64 (.f64 x y) (.f64 (.f64 a b) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x y (.f64 (.f64 z t) 1/16)) (.f64 (.f64 a b) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x y (.f64 (.f64 z t) 1/16)) (.f64 (.f64 (.f64 a b) -1/4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x y (fma.f64 z (.f64 t 1/16) (.f64 (.f64 a b) -1/4))) (fma.f64 -1/4 (.f64 a b) (.f64 a (.f64 b 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x y (fma.f64 z (.f64 t 1/16) (.f64 (.f64 a b) -1/4))) (fma.f64 (.f64 (.f64 a b) -1/4) 1 (.f64 a (.f64 b 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x y (fma.f64 z (.f64 t 1/16) (.f64 (.f64 a b) -1/4))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 a (.f64 b 1/4)))) (pow.f64 (cbrt.f64 (.f64 a (.f64 b 1/4))) 2) (.f64 a (.f64 b 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x y (fma.f64 z (.f64 t 1/16) (.f64 (.f64 a b) -1/4))) (+.f64 (.f64 (.f64 a b) -1/4) (.f64 a (.f64 b 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 a b) -1/4) (fma.f64 x y (.f64 (.f64 z t) 1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 z (.f64 t 1/16) (.f64 (.f64 a b) -1/4)) (.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x y (fma.f64 z (.f64 t 1/16) (.f64 (.f64 a b) -1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x y (fma.f64 z (.f64 t 1/16) (.f64 (.f64 a b) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x y (fma.f64 z (.f64 t 1/16) (.f64 (.f64 a b) -1/4)))) (pow.f64 (cbrt.f64 (fma.f64 x y (fma.f64 z (.f64 t 1/16) (.f64 (.f64 a b) -1/4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x y (fma.f64 z (.f64 t 1/16) (.f64 (.f64 a b) -1/4)))) 2) (cbrt.f64 (fma.f64 x y (fma.f64 z (.f64 t 1/16) (.f64 (.f64 a b) -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x y (fma.f64 z (.f64 t 1/16) (.f64 (.f64 a b) -1/4)))) (sqrt.f64 (fma.f64 x y (fma.f64 z (.f64 t 1/16) (.f64 (.f64 a b) -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (fma.f64 x y (.f64 (.f64 z t) 1/16)) 3) (.f64 (pow.f64 (.f64 a b) 3) 1/64)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x y (.f64 (.f64 z t) 1/16)) 2) (.f64 (.f64 a (.f64 b 1/4)) (+.f64 (fma.f64 x y (.f64 (.f64 z t) 1/16)) (.f64 a (.f64 b 1/4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (fma.f64 x y (.f64 (.f64 z t) 1/16)) 2) (pow.f64 (.f64 a (.f64 b 1/4)) 2)) (/.f64 1 (+.f64 (fma.f64 x y (.f64 (.f64 z t) 1/16)) (.f64 a (.f64 b 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 (fma.f64 x y (.f64 (.f64 z t) 1/16))) (.f64 (sqrt.f64 (.f64 a b)) 1/2)) (-.f64 (sqrt.f64 (fma.f64 x y (.f64 (.f64 z t) 1/16))) (.f64 (sqrt.f64 (.f64 a b)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x y (.f64 (.f64 z t) 1/16)) 2) (.f64 (.f64 a (.f64 b 1/4)) (+.f64 (fma.f64 x y (.f64 (.f64 z t) 1/16)) (.f64 a (.f64 b 1/4))))) (-.f64 (pow.f64 (fma.f64 x y (.f64 (.f64 z t) 1/16)) 3) (.f64 (pow.f64 (.f64 a b) 3) 1/64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (fma.f64 x y (.f64 (.f64 z t) 1/16)) (.f64 a (.f64 b 1/4))) (-.f64 (pow.f64 (fma.f64 x y (.f64 (.f64 z t) 1/16)) 2) (pow.f64 (.f64 a (.f64 b 1/4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x y (.f64 (.f64 z t) 1/16)) 3) (.f64 (pow.f64 (.f64 a b) 3) 1/64)) (+.f64 (pow.f64 (fma.f64 x y (.f64 (.f64 z t) 1/16)) 2) (.f64 (.f64 a (.f64 b 1/4)) (+.f64 (fma.f64 x y (.f64 (.f64 z t) 1/16)) (.f64 a (.f64 b 1/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x y (.f64 (.f64 z t) 1/16)) 2) (pow.f64 (.f64 a (.f64 b 1/4)) 2)) (+.f64 (fma.f64 x y (.f64 (.f64 z t) 1/16)) (.f64 a (.f64 b 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x y (.f64 (.f64 z t) 1/16)) 3) (.f64 (pow.f64 (.f64 a b) 3) 1/64))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x y (.f64 (.f64 z t) 1/16)) 2) (.f64 (.f64 a (.f64 b 1/4)) (+.f64 (fma.f64 x y (.f64 (.f64 z t) 1/16)) (.f64 a (.f64 b 1/4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x y (.f64 (.f64 z t) 1/16)) 2) (pow.f64 (.f64 a (.f64 b 1/4)) 2))) (neg.f64 (+.f64 (fma.f64 x y (.f64 (.f64 z t) 1/16)) (.f64 a (.f64 b 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (+.f64 (pow.f64 (.f64 x y) 3) (.f64 (pow.f64 (.f64 z t) 3) 1/4096)) (/.f64 4 b)) (.f64 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 (.f64 (.f64 z t) 1/16) (-.f64 (.f64 (.f64 z t) 1/16) (.f64 x y)))) a)) (.f64 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 (.f64 (.f64 z t) 1/16) (-.f64 (.f64 (.f64 z t) 1/16) (.f64 x y)))) (/.f64 4 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 (.f64 z t) 1/16) 2)) (/.f64 4 b)) (.f64 (-.f64 (.f64 x y) (.f64 (.f64 z t) 1/16)) a)) (.f64 (-.f64 (.f64 x y) (.f64 (.f64 z t) 1/16)) (/.f64 4 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (+.f64 (pow.f64 (.f64 x y) 3) (.f64 (pow.f64 (.f64 z t) 3) 1/4096)) 4) (.f64 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 (.f64 (.f64 z t) 1/16) (-.f64 (.f64 (.f64 z t) 1/16) (.f64 x y)))) (.f64 a b))) (.f64 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 (.f64 (.f64 z t) 1/16) (-.f64 (.f64 (.f64 z t) 1/16) (.f64 x y)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 (.f64 z t) 1/16) 2)) 4) (.f64 (-.f64 (.f64 x y) (.f64 (.f64 z t) 1/16)) (.f64 a b))) (.f64 (-.f64 (.f64 x y) (.f64 (.f64 z t) 1/16)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (+.f64 (pow.f64 (.f64 x y) 3) (.f64 (pow.f64 (.f64 z t) 3) 1/4096)) (/.f64 4 (.f64 a b))) (.f64 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 (.f64 (.f64 z t) 1/16) (-.f64 (.f64 (.f64 z t) 1/16) (.f64 x y)))) 1)) (.f64 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 (.f64 (.f64 z t) 1/16) (-.f64 (.f64 (.f64 z t) 1/16) (.f64 x y)))) (/.f64 4 (.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 (.f64 z t) 1/16) 2)) (/.f64 4 (.f64 a b))) (.f64 (-.f64 (.f64 x y) (.f64 (.f64 z t) 1/16)) 1)) (.f64 (-.f64 (.f64 x y) (.f64 (.f64 z t) 1/16)) (/.f64 4 (.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (+.f64 (pow.f64 (.f64 x y) 3) (.f64 (pow.f64 (.f64 z t) 3) 1/4096)) -4) (.f64 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 (.f64 (.f64 z t) 1/16) (-.f64 (.f64 (.f64 z t) 1/16) (.f64 x y)))) (.f64 a (neg.f64 b)))) (.f64 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 (.f64 (.f64 z t) 1/16) (-.f64 (.f64 (.f64 z t) 1/16) (.f64 x y)))) -4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 (.f64 z t) 1/16) 2)) -4) (.f64 (-.f64 (.f64 x y) (.f64 (.f64 z t) 1/16)) (.f64 a (neg.f64 b)))) (.f64 (-.f64 (.f64 x y) (.f64 (.f64 z t) 1/16)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (fma.f64 z (.f64 t 1/16) (.f64 (.f64 a b) -1/4)) 3)) (+.f64 (pow.f64 (.f64 x y) 2) (-.f64 (.f64 (fma.f64 z (.f64 t 1/16) (.f64 (.f64 a b) -1/4)) (fma.f64 z (.f64 t 1/16) (.f64 (.f64 a b) -1/4))) (.f64 (.f64 x y) (fma.f64 z (.f64 t 1/16) (.f64 (.f64 a b) -1/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x y (.f64 (.f64 z t) 1/16)) 3) (pow.f64 (.f64 (.f64 a b) -1/4) 3)) (+.f64 (pow.f64 (fma.f64 x y (.f64 (.f64 z t) 1/16)) 2) (-.f64 (.f64 (.f64 (.f64 a b) -1/4) (.f64 (.f64 a b) -1/4)) (.f64 (fma.f64 x y (.f64 (.f64 z t) 1/16)) (.f64 (.f64 a b) -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 (fma.f64 z (.f64 t 1/16) (.f64 (.f64 a b) -1/4)) (fma.f64 z (.f64 t 1/16) (.f64 (.f64 a b) -1/4)))) (-.f64 (.f64 x y) (fma.f64 z (.f64 t 1/16) (.f64 (.f64 a b) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x y (.f64 (.f64 z t) 1/16)) 2) (.f64 (.f64 (.f64 a b) -1/4) (.f64 (.f64 a b) -1/4))) (-.f64 (fma.f64 x y (.f64 (.f64 z t) 1/16)) (.f64 (.f64 a b) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x y (fma.f64 z (.f64 t 1/16) (.f64 (.f64 a b) -1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x y (fma.f64 z (.f64 t 1/16) (.f64 (.f64 a b) -1/4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x y (fma.f64 z (.f64 t 1/16) (.f64 (.f64 a b) -1/4)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x y (fma.f64 z (.f64 t 1/16) (.f64 (.f64 a b) -1/4))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x y (fma.f64 z (.f64 t 1/16) (.f64 (.f64 a b) -1/4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x y (fma.f64 z (.f64 t 1/16) (.f64 (.f64 a b) -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x y (fma.f64 z (.f64 t 1/16) (.f64 (.f64 a b) -1/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x y (fma.f64 z (.f64 t 1/16) (.f64 (.f64 a b) -1/4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x y (fma.f64 z (.f64 t 1/16) (.f64 (.f64 a b) -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x y (fma.f64 z (.f64 t 1/16) (.f64 (.f64 a b) -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x y (fma.f64 z (.f64 t 1/16) (.f64 (.f64 a b) -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 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((x exp.f64 (log.f64 (fma.f64 x y (.f64 (.f64 z t) 1/16))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 x y (.f64 (.f64 z t) 1/16))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (.f64 (.f64 z t) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (.f64 (.f64 z t) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 z t) 1/16 (.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x y) (.f64 (.f64 z t) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 (.f64 z t) 1/16) (.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 z t) 1/16)) 2) (cbrt.f64 (.f64 (.f64 z t) 1/16)) (.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (cbrt.f64 (.f64 x y)) (.f64 (.f64 z t) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 (.f64 z t) 1/16)) (sqrt.f64 (.f64 (.f64 z t) 1/16)) (.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) (.f64 (*.f64 z t) 1/16))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 a (.f64 b 1/4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 a (/.f64 1 (/.f64 4 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 a (.f64 b 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 b (.f64 a 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a b) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a (.f64 b 1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 a (.f64 b 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 a (.f64 b 1/4))) (pow.f64 (cbrt.f64 (.f64 a (.f64 b 1/4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 a (.f64 b 1/4))) 2) (cbrt.f64 (.f64 a (.f64 b 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) (.f64 (cbrt.f64 (.f64 a b)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (.f64 a b)) 1/2) (.f64 (sqrt.f64 (.f64 a b)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 a b)) (.f64 (sqrt.f64 (.f64 a b)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a (neg.f64 b)) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a 4) b)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a (.f64 b 1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 a (.f64 b 1/4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 (.f64 a b)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (.f64 a b) 3) 1/64) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 4 (.f64 a b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 a b) -4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 a (.f64 b 1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 b) a) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 a (.f64 b 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 a b) 3) 1/64))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 a (.f64 b 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 a (.f64 b 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 a (.f64 b 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 a (.f64 b 1/4))) 1))))))

simplify428.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1185×	`fma-neg_binary64`
706×	`fma-def_binary64`
344×	`cancel-sign-sub-inv_binary64`
115×	`distribute-rgt-neg-in_binary64`
113×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	3259
1	71	3251
2	168	3113
3	442	3113
4	718	3113
5	1151	3113
6	2126	3113
7	2958	3113
8	3348	3113
9	3454	3113
10	3454	3113
11	3751	3113
12	3751	3113

Stop Event

1×

saturated

Counts

403 → 198

Calls

Call 1

Inputs
(-.f64 (.f64 1/16 (.f64 t z)) (.f64 1/4 (.f64 a b)))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(*.f64 y x)
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(*.f64 y x)
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(-.f64 (.f64 1/16 (.f64 t z)) (.f64 1/4 (.f64 a b)))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(*.f64 y x)
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(*.f64 y x)
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(-.f64 (.f64 y x) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(.f64 1/16 (.f64 t z))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(.f64 1/16 (.f64 t z))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(-.f64 (.f64 y x) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(.f64 1/16 (.f64 t z))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(.f64 1/16 (.f64 t z))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b))))
(.f64 -1/4 (.f64 a b))
(+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b))))
(.f64 -1/4 (.f64 a b))
(+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b))))
(.f64 -1/4 (.f64 a b))
(+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b))))
(.f64 -1/4 (.f64 a b))
(+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b))))
(-.f64 (+.f64 c (.f64 1/16 (.f64 t z))) (.f64 1/4 (.f64 a b)))
(-.f64 (+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z)))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z)))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z)))) (.f64 1/4 (*.f64 a b)))
(*.f64 y x)
(-.f64 (+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z)))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z)))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z)))) (.f64 1/4 (*.f64 a b)))
(*.f64 y x)
(-.f64 (+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z)))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z)))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z)))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 c (.f64 1/16 (.f64 t z))) (.f64 1/4 (.f64 a b)))
(-.f64 (+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z)))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z)))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z)))) (.f64 1/4 (*.f64 a b)))
(*.f64 y x)
(-.f64 (+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z)))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z)))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z)))) (.f64 1/4 (*.f64 a b)))
(*.f64 y x)
(-.f64 (+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z)))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z)))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z)))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 c (.f64 y x)) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z)))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z)))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z)))) (.f64 1/4 (*.f64 a b)))
(.f64 1/16 (.f64 t z))
(-.f64 (+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z)))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z)))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z)))) (.f64 1/4 (*.f64 a b)))
(.f64 1/16 (.f64 t z))
(-.f64 (+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z)))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z)))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z)))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 c (.f64 y x)) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z)))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z)))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z)))) (.f64 1/4 (*.f64 a b)))
(.f64 1/16 (.f64 t z))
(-.f64 (+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z)))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z)))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z)))) (.f64 1/4 (*.f64 a b)))
(.f64 1/16 (.f64 t z))
(-.f64 (+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z)))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z)))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z)))) (.f64 1/4 (*.f64 a b)))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(.f64 -1/4 (.f64 a b))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(.f64 -1/4 (.f64 a b))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(.f64 -1/4 (.f64 a b))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(.f64 -1/4 (.f64 a b))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z)))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z)))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z)))) (.f64 1/4 (*.f64 a b)))
c
(-.f64 (+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z)))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z)))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z)))) (.f64 1/4 (*.f64 a b)))
c
(-.f64 (+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z)))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z)))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z)))) (.f64 1/4 (*.f64 a b)))
(.f64 1/16 (.f64 t z))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(.f64 1/16 (.f64 t z))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(.f64 1/16 (.f64 t z))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(.f64 1/16 (.f64 t z))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(.f64 1/16 (.f64 t z))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(.f64 1/16 (.f64 t z))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))

Outputs
(-.f64 (.f64 1/16 (.f64 t z)) (.f64 1/4 (.f64 a b)))
(fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4))
(fma.f64 1/16 (.f64 t z) (.f64 a (*.f64 b -1/4)))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 a (*.f64 b -1/4))))
(fma.f64 1/16 (.f64 t z) (fma.f64 a (.f64 b -1/4) (*.f64 y x)))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 a (*.f64 b -1/4))))
(fma.f64 1/16 (.f64 t z) (fma.f64 a (.f64 b -1/4) (*.f64 y x)))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 a (*.f64 b -1/4))))
(fma.f64 1/16 (.f64 t z) (fma.f64 a (.f64 b -1/4) (*.f64 y x)))
(*.f64 y x)
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 a (*.f64 b -1/4))))
(fma.f64 1/16 (.f64 t z) (fma.f64 a (.f64 b -1/4) (*.f64 y x)))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 a (*.f64 b -1/4))))
(fma.f64 1/16 (.f64 t z) (fma.f64 a (.f64 b -1/4) (*.f64 y x)))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 a (*.f64 b -1/4))))
(fma.f64 1/16 (.f64 t z) (fma.f64 a (.f64 b -1/4) (*.f64 y x)))
(*.f64 y x)
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 a (*.f64 b -1/4))))
(fma.f64 1/16 (.f64 t z) (fma.f64 a (.f64 b -1/4) (*.f64 y x)))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 a (*.f64 b -1/4))))
(fma.f64 1/16 (.f64 t z) (fma.f64 a (.f64 b -1/4) (*.f64 y x)))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 a (*.f64 b -1/4))))
(fma.f64 1/16 (.f64 t z) (fma.f64 a (.f64 b -1/4) (*.f64 y x)))
(-.f64 (.f64 1/16 (.f64 t z)) (.f64 1/4 (.f64 a b)))
(fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4))
(fma.f64 1/16 (.f64 t z) (.f64 a (*.f64 b -1/4)))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 a (*.f64 b -1/4))))
(fma.f64 1/16 (.f64 t z) (fma.f64 a (.f64 b -1/4) (*.f64 y x)))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 a (*.f64 b -1/4))))
(fma.f64 1/16 (.f64 t z) (fma.f64 a (.f64 b -1/4) (*.f64 y x)))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 a (*.f64 b -1/4))))
(fma.f64 1/16 (.f64 t z) (fma.f64 a (.f64 b -1/4) (*.f64 y x)))
(*.f64 y x)
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 a (*.f64 b -1/4))))
(fma.f64 1/16 (.f64 t z) (fma.f64 a (.f64 b -1/4) (*.f64 y x)))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 a (*.f64 b -1/4))))
(fma.f64 1/16 (.f64 t z) (fma.f64 a (.f64 b -1/4) (*.f64 y x)))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 a (*.f64 b -1/4))))
(fma.f64 1/16 (.f64 t z) (fma.f64 a (.f64 b -1/4) (*.f64 y x)))
(*.f64 y x)
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 a (*.f64 b -1/4))))
(fma.f64 1/16 (.f64 t z) (fma.f64 a (.f64 b -1/4) (*.f64 y x)))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 a (*.f64 b -1/4))))
(fma.f64 1/16 (.f64 t z) (fma.f64 a (.f64 b -1/4) (*.f64 y x)))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 a (*.f64 b -1/4))))
(fma.f64 1/16 (.f64 t z) (fma.f64 a (.f64 b -1/4) (*.f64 y x)))
(-.f64 (.f64 y x) (.f64 1/4 (*.f64 a b)))
(+.f64 (.f64 y x) (.f64 (*.f64 a b) -1/4))
(fma.f64 y x (.f64 (.f64 a b) -1/4))
(fma.f64 a (.f64 b -1/4) (.f64 y x))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 a (*.f64 b -1/4))))
(fma.f64 1/16 (.f64 t z) (fma.f64 a (.f64 b -1/4) (*.f64 y x)))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 a (*.f64 b -1/4))))
(fma.f64 1/16 (.f64 t z) (fma.f64 a (.f64 b -1/4) (*.f64 y x)))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 a (*.f64 b -1/4))))
(fma.f64 1/16 (.f64 t z) (fma.f64 a (.f64 b -1/4) (*.f64 y x)))
(.f64 1/16 (.f64 t z))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 a (*.f64 b -1/4))))
(fma.f64 1/16 (.f64 t z) (fma.f64 a (.f64 b -1/4) (*.f64 y x)))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 a (*.f64 b -1/4))))
(fma.f64 1/16 (.f64 t z) (fma.f64 a (.f64 b -1/4) (*.f64 y x)))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 a (*.f64 b -1/4))))
(fma.f64 1/16 (.f64 t z) (fma.f64 a (.f64 b -1/4) (*.f64 y x)))
(.f64 1/16 (.f64 t z))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 a (*.f64 b -1/4))))
(fma.f64 1/16 (.f64 t z) (fma.f64 a (.f64 b -1/4) (*.f64 y x)))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 a (*.f64 b -1/4))))
(fma.f64 1/16 (.f64 t z) (fma.f64 a (.f64 b -1/4) (*.f64 y x)))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 a (*.f64 b -1/4))))
(fma.f64 1/16 (.f64 t z) (fma.f64 a (.f64 b -1/4) (*.f64 y x)))
(-.f64 (.f64 y x) (.f64 1/4 (*.f64 a b)))
(+.f64 (.f64 y x) (.f64 (*.f64 a b) -1/4))
(fma.f64 y x (.f64 (.f64 a b) -1/4))
(fma.f64 a (.f64 b -1/4) (.f64 y x))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 a (*.f64 b -1/4))))
(fma.f64 1/16 (.f64 t z) (fma.f64 a (.f64 b -1/4) (*.f64 y x)))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 a (*.f64 b -1/4))))
(fma.f64 1/16 (.f64 t z) (fma.f64 a (.f64 b -1/4) (*.f64 y x)))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 a (*.f64 b -1/4))))
(fma.f64 1/16 (.f64 t z) (fma.f64 a (.f64 b -1/4) (*.f64 y x)))
(.f64 1/16 (.f64 t z))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 a (*.f64 b -1/4))))
(fma.f64 1/16 (.f64 t z) (fma.f64 a (.f64 b -1/4) (*.f64 y x)))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 a (*.f64 b -1/4))))
(fma.f64 1/16 (.f64 t z) (fma.f64 a (.f64 b -1/4) (*.f64 y x)))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 a (*.f64 b -1/4))))
(fma.f64 1/16 (.f64 t z) (fma.f64 a (.f64 b -1/4) (*.f64 y x)))
(.f64 1/16 (.f64 t z))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 a (*.f64 b -1/4))))
(fma.f64 1/16 (.f64 t z) (fma.f64 a (.f64 b -1/4) (*.f64 y x)))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
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(.f64 a (.f64 b -1/4))
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(+.f64 (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4))) c)
(+.f64 (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)) (fma.f64 y x c))
(fma.f64 (.f64 a b) -1/4 (fma.f64 y x (fma.f64 1/16 (.f64 t z) c)))
(fma.f64 a (.f64 b -1/4) (fma.f64 y x (fma.f64 1/16 (.f64 t z) c)))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4))) c)
(+.f64 (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)) (fma.f64 y x c))
(fma.f64 (.f64 a b) -1/4 (fma.f64 y x (fma.f64 1/16 (.f64 t z) c)))
(fma.f64 a (.f64 b -1/4) (fma.f64 y x (fma.f64 1/16 (.f64 t z) c)))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4))) c)
(+.f64 (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)) (fma.f64 y x c))
(fma.f64 (.f64 a b) -1/4 (fma.f64 y x (fma.f64 1/16 (.f64 t z) c)))
(fma.f64 a (.f64 b -1/4) (fma.f64 y x (fma.f64 1/16 (.f64 t z) c)))
(-.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (.f64 1/4 (*.f64 a b)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 a (*.f64 b -1/4))))
(fma.f64 1/16 (.f64 t z) (fma.f64 a (.f64 b -1/4) (*.f64 y x)))
(-.f64 (+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z)))) (.f64 1/4 (*.f64 a b)))
(+.f64 (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4))) c)
(+.f64 (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)) (fma.f64 y x c))
(fma.f64 (.f64 a b) -1/4 (fma.f64 y x (fma.f64 1/16 (.f64 t z) c)))
(fma.f64 a (.f64 b -1/4) (fma.f64 y x (fma.f64 1/16 (.f64 t z) c)))
(-.f64 (+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z)))) (.f64 1/4 (*.f64 a b)))
(+.f64 (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4))) c)
(+.f64 (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)) (fma.f64 y x c))
(fma.f64 (.f64 a b) -1/4 (fma.f64 y x (fma.f64 1/16 (.f64 t z) c)))
(fma.f64 a (.f64 b -1/4) (fma.f64 y x (fma.f64 1/16 (.f64 t z) c)))
(-.f64 (+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z)))) (.f64 1/4 (*.f64 a b)))
(+.f64 (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4))) c)
(+.f64 (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)) (fma.f64 y x c))
(fma.f64 (.f64 a b) -1/4 (fma.f64 y x (fma.f64 1/16 (.f64 t z) c)))
(fma.f64 a (.f64 b -1/4) (fma.f64 y x (fma.f64 1/16 (.f64 t z) c)))
c
(-.f64 (+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z)))) (.f64 1/4 (*.f64 a b)))
(+.f64 (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4))) c)
(+.f64 (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)) (fma.f64 y x c))
(fma.f64 (.f64 a b) -1/4 (fma.f64 y x (fma.f64 1/16 (.f64 t z) c)))
(fma.f64 a (.f64 b -1/4) (fma.f64 y x (fma.f64 1/16 (.f64 t z) c)))
(-.f64 (+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z)))) (.f64 1/4 (*.f64 a b)))
(+.f64 (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4))) c)
(+.f64 (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)) (fma.f64 y x c))
(fma.f64 (.f64 a b) -1/4 (fma.f64 y x (fma.f64 1/16 (.f64 t z) c)))
(fma.f64 a (.f64 b -1/4) (fma.f64 y x (fma.f64 1/16 (.f64 t z) c)))
(-.f64 (+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z)))) (.f64 1/4 (*.f64 a b)))
(+.f64 (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4))) c)
(+.f64 (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)) (fma.f64 y x c))
(fma.f64 (.f64 a b) -1/4 (fma.f64 y x (fma.f64 1/16 (.f64 t z) c)))
(fma.f64 a (.f64 b -1/4) (fma.f64 y x (fma.f64 1/16 (.f64 t z) c)))
c
(-.f64 (+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z)))) (.f64 1/4 (*.f64 a b)))
(+.f64 (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4))) c)
(+.f64 (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)) (fma.f64 y x c))
(fma.f64 (.f64 a b) -1/4 (fma.f64 y x (fma.f64 1/16 (.f64 t z) c)))
(fma.f64 a (.f64 b -1/4) (fma.f64 y x (fma.f64 1/16 (.f64 t z) c)))
(-.f64 (+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z)))) (.f64 1/4 (*.f64 a b)))
(+.f64 (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4))) c)
(+.f64 (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)) (fma.f64 y x c))
(fma.f64 (.f64 a b) -1/4 (fma.f64 y x (fma.f64 1/16 (.f64 t z) c)))
(fma.f64 a (.f64 b -1/4) (fma.f64 y x (fma.f64 1/16 (.f64 t z) c)))
(-.f64 (+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z)))) (.f64 1/4 (*.f64 a b)))
(+.f64 (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4))) c)
(+.f64 (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)) (fma.f64 y x c))
(fma.f64 (.f64 a b) -1/4 (fma.f64 y x (fma.f64 1/16 (.f64 t z) c)))
(fma.f64 a (.f64 b -1/4) (fma.f64 y x (fma.f64 1/16 (.f64 t z) c)))
(.f64 1/16 (.f64 t z))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(fma.f64 y x (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (.f64 t z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(fma.f64 y x (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (.f64 t z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(fma.f64 y x (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (.f64 t z) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(fma.f64 y x (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (.f64 t z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(fma.f64 y x (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (.f64 t z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(fma.f64 y x (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (.f64 t z) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(fma.f64 y x (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (.f64 t z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(fma.f64 y x (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (.f64 t z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(fma.f64 y x (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (.f64 t z) (.f64 y x))
(.f64 1/16 (.f64 t z))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(fma.f64 y x (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (.f64 t z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(fma.f64 y x (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (.f64 t z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(fma.f64 y x (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (.f64 t z) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(fma.f64 y x (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (.f64 t z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(fma.f64 y x (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (.f64 t z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(fma.f64 y x (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (.f64 t z) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(fma.f64 y x (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (.f64 t z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(fma.f64 y x (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (.f64 t z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(fma.f64 y x (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (.f64 t z) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(fma.f64 y x (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (.f64 t z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(fma.f64 y x (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (.f64 t z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(fma.f64 y x (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (.f64 t z) (.f64 y x))
(.f64 1/16 (.f64 t z))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(fma.f64 y x (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (.f64 t z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(fma.f64 y x (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (.f64 t z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(fma.f64 y x (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (.f64 t z) (.f64 y x))
(.f64 1/16 (.f64 t z))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(fma.f64 y x (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (.f64 t z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(fma.f64 y x (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (.f64 t z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(fma.f64 y x (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (.f64 t z) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(fma.f64 y x (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (.f64 t z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(fma.f64 y x (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (.f64 t z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(fma.f64 y x (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (.f64 t z) (.f64 y x))
(.f64 1/16 (.f64 t z))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(fma.f64 y x (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (.f64 t z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(fma.f64 y x (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (.f64 t z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(fma.f64 y x (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (.f64 t z) (.f64 y x))
(.f64 1/16 (.f64 t z))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(fma.f64 y x (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (.f64 t z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(fma.f64 y x (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (.f64 t z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(fma.f64 y x (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (.f64 t z) (.f64 y x))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))

localize47.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 t (.f64 z 1/16) (fma.f64 (.f64 a b) -1/4 c))
✓	0.0b	(fma.f64 (*.f64 a b) -1/4 c)

Compiler

Compiled 53 to 25 computations (52.8% saved)

series19.0ms (0.1%)

Counts

2 → 96

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	t	@	0	(fma.f64 t (.f64 z 1/16) (fma.f64 (.f64 a b) -1/4 c))
1.0ms	z	@	-inf	(fma.f64 t (.f64 z 1/16) (fma.f64 (.f64 a b) -1/4 c))
1.0ms	z	@	inf	(fma.f64 t (.f64 z 1/16) (fma.f64 (.f64 a b) -1/4 c))
1.0ms	z	@	0	(fma.f64 t (.f64 z 1/16) (fma.f64 (.f64 a b) -1/4 c))
1.0ms	a	@	0	(fma.f64 (*.f64 a b) -1/4 c)

rewrite124.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

532×	`log-prod_binary64`
421×	`exp-prod_binary64`
356×	`prod-exp_binary64`
321×	`pow-prod-down_binary64`
303×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	23
1	239	23
2	2700	23

Stop Event

1×	node limit

Counts

2 → 73

Calls

Call 1

Inputs
(fma.f64 (*.f64 a b) -1/4 c)
(fma.f64 t (.f64 z 1/16) (fma.f64 (.f64 a b) -1/4 c))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 c (.f64 a (.f64 b -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a (.f64 b -1/4)) c)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 a (.f64 b -1/4) c))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 a (.f64 b -1/4)) 1) c)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 a (.f64 b -1/4) c))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 a (.f64 b -1/4) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 a (.f64 b -1/4) c)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 a (.f64 b -1/4) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 a (.f64 b -1/4) c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 a (.f64 b -1/4) c) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 a (.f64 b -1/4) c))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 a (.f64 b -1/4) c)) (pow.f64 (cbrt.f64 (fma.f64 a (.f64 b -1/4) c)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 a (.f64 b -1/4) c)) 2) (cbrt.f64 (fma.f64 a (.f64 b -1/4) c)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 a (.f64 b -1/4) c)) (sqrt.f64 (fma.f64 a (.f64 b -1/4) c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 a (.f64 b -1/4)) 3) (pow.f64 c 3)) (+.f64 (pow.f64 (.f64 a (.f64 b -1/4)) 2) (-.f64 (.f64 c c) (.f64 (.f64 a (.f64 b -1/4)) c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 a (.f64 b -1/4)) 2) (.f64 c c)) (-.f64 (.f64 a (.f64 b -1/4)) c))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a (.f64 b -1/4) c) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a (.f64 b -1/4) c) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a (.f64 b -1/4) c) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 a (.f64 b -1/4) c)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 a (.f64 b -1/4) c)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 a (.f64 b -1/4) c)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 a (.f64 b -1/4) c))) 2)) (cbrt.f64 (log.f64 (fma.f64 a (.f64 b -1/4) c))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 a (.f64 b -1/4) c)))) (sqrt.f64 (log.f64 (fma.f64 a (.f64 b -1/4) c))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 a (.f64 b -1/4) c) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 a (.f64 b -1/4) c)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 a (.f64 b -1/4) c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 c)) (pow.f64 (exp.f64 b) (.f64 a -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 b) (.f64 a -1/4)) (+.f64 1 (expm1.f64 c))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a (.f64 b -1/4) c) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 a (.f64 b -1/4) c)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 a (.f64 b -1/4) c)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 a (.f64 b -1/4) c)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 a (.f64 b -1/4) c)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 a (.f64 b -1/4) c))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 a (.f64 b -1/4) c))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 a (.f64 b -1/4) c))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (fma.f64 a (.f64 b -1/4) c)) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 a (.f64 b -1/4) c) (.f64 (.f64 t z) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 t z) 1/16) (fma.f64 a (.f64 b -1/4) c))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (.f64 t z) 1/16 (fma.f64 a (.f64 b -1/4) c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (.f64 t z) 1/16) 1) (fma.f64 a (.f64 b -1/4) c))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (.f64 t z) 1/16 (.f64 a (.f64 b -1/4))) c)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (.f64 t z) 1/16 (fma.f64 a (.f64 b -1/4) c)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (.f64 t z) 1/16 (fma.f64 a (.f64 b -1/4) c))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (.f64 t z) 1/16 (fma.f64 a (.f64 b -1/4) c))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (.f64 t z) 1/16 (fma.f64 a (.f64 b -1/4) c))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 t z) 1/16 (fma.f64 a (.f64 b -1/4) c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (.f64 t z) 1/16 (fma.f64 a (.f64 b -1/4) c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (.f64 t z) 1/16 (fma.f64 a (.f64 b -1/4) c)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (.f64 t z) 1/16 (fma.f64 a (.f64 b -1/4) c))) (pow.f64 (cbrt.f64 (fma.f64 (.f64 t z) 1/16 (fma.f64 a (.f64 b -1/4) c))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 t z) 1/16 (fma.f64 a (.f64 b -1/4) c))) 2) (cbrt.f64 (fma.f64 (.f64 t z) 1/16 (fma.f64 a (.f64 b -1/4) c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (.f64 t z) 1/16 (fma.f64 a (.f64 b -1/4) c))) (sqrt.f64 (fma.f64 (.f64 t z) 1/16 (fma.f64 a (.f64 b -1/4) c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 (.f64 t z) 1/16) 3) (pow.f64 (fma.f64 a (.f64 b -1/4) c) 3)) (+.f64 (pow.f64 (.f64 (.f64 t z) 1/16) 2) (-.f64 (pow.f64 (fma.f64 a (.f64 b -1/4) c) 2) (.f64 (.f64 (.f64 t z) 1/16) (fma.f64 a (.f64 b -1/4) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 (.f64 t z) 1/16) 2) (pow.f64 (fma.f64 a (.f64 b -1/4) c) 2)) (-.f64 (.f64 (.f64 t z) 1/16) (fma.f64 a (.f64 b -1/4) c)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (.f64 t z) 1/16 (fma.f64 a (.f64 b -1/4) c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (.f64 t z) 1/16 (fma.f64 a (.f64 b -1/4) c)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (.f64 t z) 1/16 (fma.f64 a (.f64 b -1/4) c)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (.f64 t z) 1/16 (fma.f64 a (.f64 b -1/4) c))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (.f64 t z) 1/16 (fma.f64 a (.f64 b -1/4) c))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 (.f64 t z) 1/16 (fma.f64 a (.f64 b -1/4) c))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (.f64 t z) 1/16 (fma.f64 a (.f64 b -1/4) c)))) 2)) (cbrt.f64 (log.f64 (fma.f64 (.f64 t z) 1/16 (fma.f64 a (.f64 b -1/4) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (.f64 t z) 1/16 (fma.f64 a (.f64 b -1/4) c))))) (sqrt.f64 (log.f64 (fma.f64 (.f64 t z) 1/16 (fma.f64 a (.f64 b -1/4) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (.f64 t z) 1/16 (fma.f64 a (.f64 b -1/4) c)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (.f64 t z) 1/16 (fma.f64 a (.f64 b -1/4) c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (.f64 t z) 1/16 (fma.f64 a (.f64 b -1/4) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (fma.f64 a (.f64 b -1/4) c))) (pow.f64 (pow.f64 (exp.f64 z) 1/16) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 z) 1/16) t) (+.f64 1 (expm1.f64 (fma.f64 a (.f64 b -1/4) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (.f64 t z) 1/16 (fma.f64 a (.f64 b -1/4) c)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (.f64 t z) 1/16 (fma.f64 a (.f64 b -1/4) c))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (.f64 t z) 1/16 (fma.f64 a (.f64 b -1/4) c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (.f64 t z) 1/16 (fma.f64 a (.f64 b -1/4) c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 (.f64 t z) 1/16 (fma.f64 a (.f64 b -1/4) c))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 (.f64 t z) 1/16 (fma.f64 a (.f64 b -1/4) c)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 (.f64 t z) 1/16 (fma.f64 a (.f64 b -1/4) c)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (.f64 t z) 1/16 (fma.f64 a (.f64 b -1/4) c)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (fma.f64 (.f64 t z) 1/16 (fma.f64 a (*.f64 b -1/4) c))) 1) 1))))))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 a (*.f64 b -1/4) c) (*.f64 (*.f64 t z) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 t z) 1/16) (fma.f64 a (*.f64 b -1/4) c))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (*.f64 t z) 1/16 (fma.f64 a (*.f64 b -1/4) c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 t z) 1/16) 1) (fma.f64 a (*.f64 b -1/4) c))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 t z) 1/16 (*.f64 a (*.f64 b -1/4))) c)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (*.f64 t z) 1/16 (fma.f64 a (*.f64 b -1/4) c)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (*.f64 t z) 1/16 (fma.f64 a (*.f64 b -1/4) c))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (*.f64 t z) 1/16 (fma.f64 a (*.f64 b -1/4) c))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (*.f64 t z) 1/16 (fma.f64 a (*.f64 b -1/4) c))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 t z) 1/16 (fma.f64 a (*.f64 b -1/4) c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 t z) 1/16 (fma.f64 a (*.f64 b -1/4) c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (*.f64 t z) 1/16 (fma.f64 a (*.f64 b -1/4) c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 t z) 1/16 (fma.f64 a (*.f64 b -1/4) c))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 t z) 1/16 (fma.f64 a (*.f64 b -1/4) c))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 t z) 1/16 (fma.f64 a (*.f64 b -1/4) c))) 2) (cbrt.f64 (fma.f64 (*.f64 t z) 1/16 (fma.f64 a (*.f64 b -1/4) c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (*.f64 t z) 1/16 (fma.f64 a (*.f64 b -1/4) c))) (sqrt.f64 (fma.f64 (*.f64 t z) 1/16 (fma.f64 a (*.f64 b -1/4) c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (*.f64 t z) 1/16) 3) (pow.f64 (fma.f64 a (*.f64 b -1/4) c) 3)) (+.f64 (pow.f64 (*.f64 (*.f64 t z) 1/16) 2) (-.f64 (pow.f64 (fma.f64 a (*.f64 b -1/4) c) 2) (*.f64 (*.f64 (*.f64 t z) 1/16) (fma.f64 a (*.f64 b -1/4) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (*.f64 t z) 1/16) 2) (pow.f64 (fma.f64 a (*.f64 b -1/4) c) 2)) (-.f64 (*.f64 (*.f64 t z) 1/16) (fma.f64 a (*.f64 b -1/4) c)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 t z) 1/16 (fma.f64 a (*.f64 b -1/4) c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 t z) 1/16 (fma.f64 a (*.f64 b -1/4) c)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 t z) 1/16 (fma.f64 a (*.f64 b -1/4) c)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (*.f64 t z) 1/16 (fma.f64 a (*.f64 b -1/4) c))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (*.f64 t z) 1/16 (fma.f64 a (*.f64 b -1/4) c))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 (*.f64 t z) 1/16 (fma.f64 a (*.f64 b -1/4) c))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (*.f64 t z) 1/16 (fma.f64 a (*.f64 b -1/4) c)))) 2)) (cbrt.f64 (log.f64 (fma.f64 (*.f64 t z) 1/16 (fma.f64 a (*.f64 b -1/4) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (*.f64 t z) 1/16 (fma.f64 a (*.f64 b -1/4) c))))) (sqrt.f64 (log.f64 (fma.f64 (*.f64 t z) 1/16 (fma.f64 a (*.f64 b -1/4) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (*.f64 t z) 1/16 (fma.f64 a (*.f64 b -1/4) c)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (*.f64 t z) 1/16 (fma.f64 a (*.f64 b -1/4) c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 t z) 1/16 (fma.f64 a (*.f64 b -1/4) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 a (*.f64 b -1/4) c))) (pow.f64 (pow.f64 (exp.f64 z) 1/16) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 z) 1/16) t) (+.f64 1 (expm1.f64 (fma.f64 a (*.f64 b -1/4) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (*.f64 t z) 1/16 (fma.f64 a (*.f64 b -1/4) c)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (*.f64 t z) 1/16 (fma.f64 a (*.f64 b -1/4) c))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (*.f64 t z) 1/16 (fma.f64 a (*.f64 b -1/4) c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (*.f64 t z) 1/16 (fma.f64 a (*.f64 b -1/4) c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 t z) 1/16 (fma.f64 a (*.f64 b -1/4) c))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (*.f64 t z) 1/16 (fma.f64 a (*.f64 b -1/4) c)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (*.f64 t z) 1/16 (fma.f64 a (*.f64 b -1/4) c)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 t z) 1/16 (fma.f64 a (*.f64 b -1/4) c)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (*.f64 t z) 1/16 (fma.f64 a (*.f64 b -1/4) c))) 1) 1))))))

simplify63.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

36×	`fma-def_binary64`
10×	`*-commutative_binary64`
6×	`associate-r_binary64`
6×	`associate-l_binary64`
4×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	1186
1	30	1124
2	58	1034
3	92	1034

Stop Event

1×

saturated

Counts

169 → 84

Calls

Call 1

Inputs
c
(+.f64 c (.f64 -1/4 (.f64 a b)))
(+.f64 c (.f64 -1/4 (.f64 a b)))
(+.f64 c (.f64 -1/4 (.f64 a b)))
(.f64 -1/4 (.f64 a b))
(+.f64 c (.f64 -1/4 (.f64 a b)))
(+.f64 c (.f64 -1/4 (.f64 a b)))
(+.f64 c (.f64 -1/4 (.f64 a b)))
(.f64 -1/4 (.f64 a b))
(+.f64 c (.f64 -1/4 (.f64 a b)))
(+.f64 c (.f64 -1/4 (.f64 a b)))
(+.f64 c (.f64 -1/4 (.f64 a b)))
c
(+.f64 c (.f64 -1/4 (.f64 a b)))
(+.f64 c (.f64 -1/4 (.f64 a b)))
(+.f64 c (.f64 -1/4 (.f64 a b)))
(.f64 -1/4 (.f64 a b))
(+.f64 c (.f64 -1/4 (.f64 a b)))
(+.f64 c (.f64 -1/4 (.f64 a b)))
(+.f64 c (.f64 -1/4 (.f64 a b)))
(.f64 -1/4 (.f64 a b))
(+.f64 c (.f64 -1/4 (.f64 a b)))
(+.f64 c (.f64 -1/4 (.f64 a b)))
(+.f64 c (.f64 -1/4 (.f64 a b)))
(.f64 -1/4 (.f64 a b))
(+.f64 c (.f64 -1/4 (.f64 a b)))
(+.f64 c (.f64 -1/4 (.f64 a b)))
(+.f64 c (.f64 -1/4 (.f64 a b)))
c
(+.f64 c (.f64 -1/4 (.f64 a b)))
(+.f64 c (.f64 -1/4 (.f64 a b)))
(+.f64 c (.f64 -1/4 (.f64 a b)))
c
(+.f64 c (.f64 -1/4 (.f64 a b)))
(+.f64 c (.f64 -1/4 (.f64 a b)))
(+.f64 c (.f64 -1/4 (.f64 a b)))
(+.f64 c (.f64 -1/4 (.f64 a b)))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(.f64 1/16 (.f64 t z))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(.f64 1/16 (.f64 t z))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (.f64 -1/4 (.f64 a b)))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(.f64 1/16 (.f64 t z))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(.f64 1/16 (.f64 t z))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (.f64 1/16 (.f64 t z)))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(.f64 -1/4 (.f64 a b))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(.f64 -1/4 (.f64 a b))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (.f64 1/16 (.f64 t z)))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(.f64 -1/4 (.f64 a b))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(.f64 -1/4 (.f64 a b))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b)))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
c
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
c
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))

Outputs
c
(+.f64 c (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (*.f64 a b) c)
(+.f64 c (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (*.f64 a b) c)
(+.f64 c (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (*.f64 a b) c)
(.f64 -1/4 (.f64 a b))
(+.f64 c (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (*.f64 a b) c)
(+.f64 c (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (*.f64 a b) c)
(+.f64 c (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (*.f64 a b) c)
(.f64 -1/4 (.f64 a b))
(+.f64 c (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (*.f64 a b) c)
(+.f64 c (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (*.f64 a b) c)
(+.f64 c (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (*.f64 a b) c)
c
(+.f64 c (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (*.f64 a b) c)
(+.f64 c (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (*.f64 a b) c)
(+.f64 c (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (*.f64 a b) c)
(.f64 -1/4 (.f64 a b))
(+.f64 c (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (*.f64 a b) c)
(+.f64 c (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (*.f64 a b) c)
(+.f64 c (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (*.f64 a b) c)
(.f64 -1/4 (.f64 a b))
(+.f64 c (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (*.f64 a b) c)
(+.f64 c (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (*.f64 a b) c)
(+.f64 c (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (*.f64 a b) c)
(.f64 -1/4 (.f64 a b))
(+.f64 c (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (*.f64 a b) c)
(+.f64 c (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (*.f64 a b) c)
(+.f64 c (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (*.f64 a b) c)
c
(+.f64 c (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (*.f64 a b) c)
(+.f64 c (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (*.f64 a b) c)
(+.f64 c (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (*.f64 a b) c)
c
(+.f64 c (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (*.f64 a b) c)
(+.f64 c (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (*.f64 a b) c)
(+.f64 c (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (*.f64 a b) c)
(+.f64 c (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (*.f64 a b) c)
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 -1/4 (.f64 a b)) (fma.f64 1/16 (*.f64 t z) c))
(fma.f64 -1/4 (.f64 a b) (fma.f64 1/16 (.f64 t z) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 -1/4 (.f64 a b)) (fma.f64 1/16 (*.f64 t z) c))
(fma.f64 -1/4 (.f64 a b) (fma.f64 1/16 (.f64 t z) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 -1/4 (.f64 a b)) (fma.f64 1/16 (*.f64 t z) c))
(fma.f64 -1/4 (.f64 a b) (fma.f64 1/16 (.f64 t z) c))
(.f64 1/16 (.f64 t z))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 -1/4 (.f64 a b)) (fma.f64 1/16 (*.f64 t z) c))
(fma.f64 -1/4 (.f64 a b) (fma.f64 1/16 (.f64 t z) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 -1/4 (.f64 a b)) (fma.f64 1/16 (*.f64 t z) c))
(fma.f64 -1/4 (.f64 a b) (fma.f64 1/16 (.f64 t z) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 -1/4 (.f64 a b)) (fma.f64 1/16 (*.f64 t z) c))
(fma.f64 -1/4 (.f64 a b) (fma.f64 1/16 (.f64 t z) c))
(.f64 1/16 (.f64 t z))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 -1/4 (.f64 a b)) (fma.f64 1/16 (*.f64 t z) c))
(fma.f64 -1/4 (.f64 a b) (fma.f64 1/16 (.f64 t z) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 -1/4 (.f64 a b)) (fma.f64 1/16 (*.f64 t z) c))
(fma.f64 -1/4 (.f64 a b) (fma.f64 1/16 (.f64 t z) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 -1/4 (.f64 a b)) (fma.f64 1/16 (*.f64 t z) c))
(fma.f64 -1/4 (.f64 a b) (fma.f64 1/16 (.f64 t z) c))
(+.f64 c (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (*.f64 a b) c)
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 -1/4 (.f64 a b)) (fma.f64 1/16 (*.f64 t z) c))
(fma.f64 -1/4 (.f64 a b) (fma.f64 1/16 (.f64 t z) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 -1/4 (.f64 a b)) (fma.f64 1/16 (*.f64 t z) c))
(fma.f64 -1/4 (.f64 a b) (fma.f64 1/16 (.f64 t z) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 -1/4 (.f64 a b)) (fma.f64 1/16 (*.f64 t z) c))
(fma.f64 -1/4 (.f64 a b) (fma.f64 1/16 (.f64 t z) c))
(.f64 1/16 (.f64 t z))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 -1/4 (.f64 a b)) (fma.f64 1/16 (*.f64 t z) c))
(fma.f64 -1/4 (.f64 a b) (fma.f64 1/16 (.f64 t z) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 -1/4 (.f64 a b)) (fma.f64 1/16 (*.f64 t z) c))
(fma.f64 -1/4 (.f64 a b) (fma.f64 1/16 (.f64 t z) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 -1/4 (.f64 a b)) (fma.f64 1/16 (*.f64 t z) c))
(fma.f64 -1/4 (.f64 a b) (fma.f64 1/16 (.f64 t z) c))
(.f64 1/16 (.f64 t z))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 -1/4 (.f64 a b)) (fma.f64 1/16 (*.f64 t z) c))
(fma.f64 -1/4 (.f64 a b) (fma.f64 1/16 (.f64 t z) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 -1/4 (.f64 a b)) (fma.f64 1/16 (*.f64 t z) c))
(fma.f64 -1/4 (.f64 a b) (fma.f64 1/16 (.f64 t z) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 -1/4 (.f64 a b)) (fma.f64 1/16 (*.f64 t z) c))
(fma.f64 -1/4 (.f64 a b) (fma.f64 1/16 (.f64 t z) c))
(+.f64 c (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (*.f64 t z) c)
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 -1/4 (.f64 a b)) (fma.f64 1/16 (*.f64 t z) c))
(fma.f64 -1/4 (.f64 a b) (fma.f64 1/16 (.f64 t z) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 -1/4 (.f64 a b)) (fma.f64 1/16 (*.f64 t z) c))
(fma.f64 -1/4 (.f64 a b) (fma.f64 1/16 (.f64 t z) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 -1/4 (.f64 a b)) (fma.f64 1/16 (*.f64 t z) c))
(fma.f64 -1/4 (.f64 a b) (fma.f64 1/16 (.f64 t z) c))
(.f64 -1/4 (.f64 a b))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 -1/4 (.f64 a b)) (fma.f64 1/16 (*.f64 t z) c))
(fma.f64 -1/4 (.f64 a b) (fma.f64 1/16 (.f64 t z) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 -1/4 (.f64 a b)) (fma.f64 1/16 (*.f64 t z) c))
(fma.f64 -1/4 (.f64 a b) (fma.f64 1/16 (.f64 t z) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 -1/4 (.f64 a b)) (fma.f64 1/16 (*.f64 t z) c))
(fma.f64 -1/4 (.f64 a b) (fma.f64 1/16 (.f64 t z) c))
(.f64 -1/4 (.f64 a b))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 -1/4 (.f64 a b)) (fma.f64 1/16 (*.f64 t z) c))
(fma.f64 -1/4 (.f64 a b) (fma.f64 1/16 (.f64 t z) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 -1/4 (.f64 a b)) (fma.f64 1/16 (*.f64 t z) c))
(fma.f64 -1/4 (.f64 a b) (fma.f64 1/16 (.f64 t z) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 -1/4 (.f64 a b)) (fma.f64 1/16 (*.f64 t z) c))
(fma.f64 -1/4 (.f64 a b) (fma.f64 1/16 (.f64 t z) c))
(+.f64 c (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (*.f64 t z) c)
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 -1/4 (.f64 a b)) (fma.f64 1/16 (*.f64 t z) c))
(fma.f64 -1/4 (.f64 a b) (fma.f64 1/16 (.f64 t z) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 -1/4 (.f64 a b)) (fma.f64 1/16 (*.f64 t z) c))
(fma.f64 -1/4 (.f64 a b) (fma.f64 1/16 (.f64 t z) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 -1/4 (.f64 a b)) (fma.f64 1/16 (*.f64 t z) c))
(fma.f64 -1/4 (.f64 a b) (fma.f64 1/16 (.f64 t z) c))
(.f64 -1/4 (.f64 a b))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 -1/4 (.f64 a b)) (fma.f64 1/16 (*.f64 t z) c))
(fma.f64 -1/4 (.f64 a b) (fma.f64 1/16 (.f64 t z) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 -1/4 (.f64 a b)) (fma.f64 1/16 (*.f64 t z) c))
(fma.f64 -1/4 (.f64 a b) (fma.f64 1/16 (.f64 t z) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 -1/4 (.f64 a b)) (fma.f64 1/16 (*.f64 t z) c))
(fma.f64 -1/4 (.f64 a b) (fma.f64 1/16 (.f64 t z) c))
(.f64 -1/4 (.f64 a b))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 -1/4 (.f64 a b)) (fma.f64 1/16 (*.f64 t z) c))
(fma.f64 -1/4 (.f64 a b) (fma.f64 1/16 (.f64 t z) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 -1/4 (.f64 a b)) (fma.f64 1/16 (*.f64 t z) c))
(fma.f64 -1/4 (.f64 a b) (fma.f64 1/16 (.f64 t z) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 -1/4 (.f64 a b)) (fma.f64 1/16 (*.f64 t z) c))
(fma.f64 -1/4 (.f64 a b) (fma.f64 1/16 (.f64 t z) c))
(+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b)))
(fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))
(fma.f64 -1/4 (.f64 a b) (.f64 1/16 (*.f64 t z)))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 -1/4 (.f64 a b)) (fma.f64 1/16 (*.f64 t z) c))
(fma.f64 -1/4 (.f64 a b) (fma.f64 1/16 (.f64 t z) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 -1/4 (.f64 a b)) (fma.f64 1/16 (*.f64 t z) c))
(fma.f64 -1/4 (.f64 a b) (fma.f64 1/16 (.f64 t z) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 -1/4 (.f64 a b)) (fma.f64 1/16 (*.f64 t z) c))
(fma.f64 -1/4 (.f64 a b) (fma.f64 1/16 (.f64 t z) c))
c
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 -1/4 (.f64 a b)) (fma.f64 1/16 (*.f64 t z) c))
(fma.f64 -1/4 (.f64 a b) (fma.f64 1/16 (.f64 t z) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 -1/4 (.f64 a b)) (fma.f64 1/16 (*.f64 t z) c))
(fma.f64 -1/4 (.f64 a b) (fma.f64 1/16 (.f64 t z) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 -1/4 (.f64 a b)) (fma.f64 1/16 (*.f64 t z) c))
(fma.f64 -1/4 (.f64 a b) (fma.f64 1/16 (.f64 t z) c))
c
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 -1/4 (.f64 a b)) (fma.f64 1/16 (*.f64 t z) c))
(fma.f64 -1/4 (.f64 a b) (fma.f64 1/16 (.f64 t z) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 -1/4 (.f64 a b)) (fma.f64 1/16 (*.f64 t z) c))
(fma.f64 -1/4 (.f64 a b) (fma.f64 1/16 (.f64 t z) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 -1/4 (.f64 a b)) (fma.f64 1/16 (*.f64 t z) c))
(fma.f64 -1/4 (.f64 a b) (fma.f64 1/16 (.f64 t z) c))

eval233.0ms (1.1%)

Compiler: Compiled 6734 to 3524 computations (47.7% saved)

prune125.0ms (0.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	272	10	282
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	274	10	284

Error

Counts

284 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	16.0b	(fma.f64 x y (+.f64 c (.f64 1/16 (.f64 t z))))
	13.7b	(-.f64 (+.f64 c (.f64 1/16 (.f64 t z))) (.f64 1/4 (.f64 a b)))
	16.0b	(+.f64 (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))) c)
	29.3b	(+.f64 (.f64 1/16 (.f64 t z)) c)
	45.0b	c
▶	31.9b	(+.f64 (*.f64 y x) c)
	16.5b	(fma.f64 a (*.f64 b -1/4) (fma.f64 y x c))
▶	16.5b	(-.f64 (+.f64 c (.f64 y x)) (.f64 1/4 (*.f64 a b)))
▶	0.0b	(fma.f64 a (.f64 b -1/4) (fma.f64 y x (fma.f64 1/16 (.f64 t z) c)))
▶	29.9b	(+.f64 (.f64 a (.f64 b -1/4)) c)

Compiler

Compiled 308 to 225 computations (26.9% saved)

localize41.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 a (.f64 b -1/4) (fma.f64 y x (fma.f64 1/16 (.f64 t z) c)))
✓	0.0b	(fma.f64 1/16 (*.f64 t z) c)

Compiler

Compiled 51 to 23 computations (54.9% saved)

series26.0ms (0.1%)

Counts

2 → 120

Calls

30 calls:

Time	Variable		Point	Expression
2.0ms	a	@	inf	(fma.f64 a (.f64 b -1/4) (fma.f64 y x (fma.f64 1/16 (.f64 t z) c)))
1.0ms	a	@	0	(fma.f64 a (.f64 b -1/4) (fma.f64 y x (fma.f64 1/16 (.f64 t z) c)))
1.0ms	b	@	-inf	(fma.f64 a (.f64 b -1/4) (fma.f64 y x (fma.f64 1/16 (.f64 t z) c)))
1.0ms	x	@	-inf	(fma.f64 a (.f64 b -1/4) (fma.f64 y x (fma.f64 1/16 (.f64 t z) c)))
1.0ms	b	@	inf	(fma.f64 a (.f64 b -1/4) (fma.f64 y x (fma.f64 1/16 (.f64 t z) c)))

rewrite118.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

673×	`log-prod_binary64`
416×	`pow-prod-down_binary64`
385×	`pow2_binary64`
269×	`pow1/3_binary64`
267×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	27
1	298	27
2	3407	27

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

Inputs
(fma.f64 1/16 (*.f64 t z) c)
(fma.f64 a (.f64 b -1/4) (fma.f64 y x (fma.f64 1/16 (.f64 t z) c)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 c (*.f64 1/16 (*.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/16 (*.f64 t z)) c)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 1/16 (*.f64 t z) c))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/16 (*.f64 t z)) 1) c)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 1/16 (*.f64 t z) c))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/16 (*.f64 t z) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/16 (*.f64 t z) c)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/16 (*.f64 t z) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/16 (*.f64 t z) c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/16 (*.f64 t z) c) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/16 (*.f64 t z) c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/16 (*.f64 t z) c)) (cbrt.f64 (pow.f64 (fma.f64 1/16 (*.f64 t z) c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 1/16 (*.f64 t z) c) 2)) (cbrt.f64 (fma.f64 1/16 (*.f64 t z) c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/16 (*.f64 t z) c)) (sqrt.f64 (fma.f64 1/16 (*.f64 t z) c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/16 (*.f64 t z)) 3) (pow.f64 c 3)) (+.f64 (pow.f64 (*.f64 1/16 (*.f64 t z)) 2) (-.f64 (*.f64 c c) (*.f64 (*.f64 1/16 (*.f64 t z)) c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 1/16 (*.f64 t z)) 2) (*.f64 c c)) (fma.f64 1/16 (*.f64 t z) (neg.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/16 (*.f64 t z) c) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/16 (*.f64 t z) c) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/16 (*.f64 t z) c) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/16 (*.f64 t z) c)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/16 (*.f64 t z) c)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/16 (*.f64 t z) c) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/16 (*.f64 t z) c)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/16 (*.f64 t z) c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 c) (exp.f64 (*.f64 1/16 (*.f64 t z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 c)) (exp.f64 (*.f64 1/16 (*.f64 t z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 1/16 (*.f64 t z))) (+.f64 1 (expm1.f64 c))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/16 (*.f64 t z) c) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/16 (*.f64 t z) c)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/16 (*.f64 t z) c)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/16 (*.f64 t z) c)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/16 (*.f64 t z) c)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y x (fma.f64 1/16 (*.f64 t z) c)) (*.f64 (*.f64 a b) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a b) -1/4) (fma.f64 y x (fma.f64 1/16 (*.f64 t z) c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 a (*.f64 b -1/4) (fma.f64 y x (fma.f64 1/16 (*.f64 t z) c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 a b) -1/4) 1) (fma.f64 y x (fma.f64 1/16 (*.f64 t z) c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 a (*.f64 b -1/4) (*.f64 y x)) (fma.f64 1/16 (*.f64 t z) c))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 a (*.f64 b -1/4) (fma.f64 y x (fma.f64 1/16 (*.f64 t z) c))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 a (*.f64 b -1/4) (fma.f64 y x (fma.f64 1/16 (*.f64 t z) c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 a (*.f64 b -1/4) (fma.f64 y x (fma.f64 1/16 (*.f64 t z) c)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 a (*.f64 b -1/4) (fma.f64 y x (fma.f64 1/16 (*.f64 t z) c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 a (*.f64 b -1/4) (fma.f64 y x (fma.f64 1/16 (*.f64 t z) c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 a (*.f64 b -1/4) (fma.f64 y x (fma.f64 1/16 (*.f64 t z) c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 a (*.f64 b -1/4) (fma.f64 y x (fma.f64 1/16 (*.f64 t z) c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 a (*.f64 b -1/4) (fma.f64 y x (fma.f64 1/16 (*.f64 t z) c)))) (pow.f64 (cbrt.f64 (fma.f64 a (*.f64 b -1/4) (fma.f64 y x (fma.f64 1/16 (*.f64 t z) c)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 a (*.f64 b -1/4) (fma.f64 y x (fma.f64 1/16 (*.f64 t z) c)))) 2) (cbrt.f64 (fma.f64 a (*.f64 b -1/4) (fma.f64 y x (fma.f64 1/16 (*.f64 t z) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 a (*.f64 b -1/4) (fma.f64 y x (fma.f64 1/16 (*.f64 t z) c)))) (sqrt.f64 (fma.f64 a (*.f64 b -1/4) (fma.f64 y x (fma.f64 1/16 (*.f64 t z) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a b) -1/4) 3) (pow.f64 (fma.f64 y x (fma.f64 1/16 (*.f64 t z) c)) 3)) (+.f64 (pow.f64 (*.f64 (*.f64 a b) -1/4) 2) (-.f64 (pow.f64 (fma.f64 y x (fma.f64 1/16 (*.f64 t z) c)) 2) (*.f64 (*.f64 (*.f64 a b) -1/4) (fma.f64 y x (fma.f64 1/16 (*.f64 t z) c))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (*.f64 a b) -1/4) 2) (pow.f64 (fma.f64 y x (fma.f64 1/16 (*.f64 t z) c)) 2)) (-.f64 (*.f64 (*.f64 a b) -1/4) (fma.f64 y x (fma.f64 1/16 (*.f64 t z) c))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a (*.f64 b -1/4) (fma.f64 y x (fma.f64 1/16 (*.f64 t z) c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a (*.f64 b -1/4) (fma.f64 y x (fma.f64 1/16 (*.f64 t z) c))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a (*.f64 b -1/4) (fma.f64 y x (fma.f64 1/16 (*.f64 t z) c))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 a (*.f64 b -1/4) (fma.f64 y x (fma.f64 1/16 (*.f64 t z) c)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 a (*.f64 b -1/4) (fma.f64 y x (fma.f64 1/16 (*.f64 t z) c)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 a (*.f64 b -1/4) (fma.f64 y x (fma.f64 1/16 (*.f64 t z) c))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 a (*.f64 b -1/4) (fma.f64 y x (fma.f64 1/16 (*.f64 t z) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 a (*.f64 b -1/4) (fma.f64 y x (fma.f64 1/16 (*.f64 t z) c))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 y x (fma.f64 1/16 (*.f64 t z) c))) (exp.f64 (*.f64 (*.f64 a b) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 y x (fma.f64 1/16 (*.f64 t z) c)))) (exp.f64 (*.f64 (*.f64 a b) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (*.f64 a b) -1/4)) (+.f64 1 (expm1.f64 (fma.f64 y x (fma.f64 1/16 (*.f64 t z) c))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a (*.f64 b -1/4) (fma.f64 y x (fma.f64 1/16 (*.f64 t z) c))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 a (*.f64 b -1/4) (fma.f64 y x (fma.f64 1/16 (*.f64 t z) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 a (*.f64 b -1/4) (fma.f64 y x (fma.f64 1/16 (*.f64 t z) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 a (*.f64 b -1/4) (fma.f64 y x (fma.f64 1/16 (*.f64 t z) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 a (*.f64 b -1/4) (fma.f64 y x (fma.f64 1/16 (*.f64 t z) c)))) 1))))))

simplify100.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

104×	`fma-def_binary64`
21×	`associate-+l+_binary64`
15×	`+-commutative_binary64`
14×	`associate-+r+_binary64`
11×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	1814
1	52	1760
2	108	1622
3	207	1622
4	219	1622

Stop Event

1×

saturated

Counts

181 → 76

Calls

Call 1

Inputs
c
(+.f64 c (.f64 1/16 (.f64 t z)))
(+.f64 c (.f64 1/16 (.f64 t z)))
(+.f64 c (.f64 1/16 (.f64 t z)))
(.f64 1/16 (.f64 t z))
(+.f64 c (.f64 1/16 (.f64 t z)))
(+.f64 c (.f64 1/16 (.f64 t z)))
(+.f64 c (.f64 1/16 (.f64 t z)))
(.f64 1/16 (.f64 t z))
(+.f64 c (.f64 1/16 (.f64 t z)))
(+.f64 c (.f64 1/16 (.f64 t z)))
(+.f64 c (.f64 1/16 (.f64 t z)))
c
(+.f64 c (.f64 1/16 (.f64 t z)))
(+.f64 c (.f64 1/16 (.f64 t z)))
(+.f64 c (.f64 1/16 (.f64 t z)))
(.f64 1/16 (.f64 t z))
(+.f64 c (.f64 1/16 (.f64 t z)))
(+.f64 c (.f64 1/16 (.f64 t z)))
(+.f64 c (.f64 1/16 (.f64 t z)))
(.f64 1/16 (.f64 t z))
(+.f64 c (.f64 1/16 (.f64 t z)))
(+.f64 c (.f64 1/16 (.f64 t z)))
(+.f64 c (.f64 1/16 (.f64 t z)))
(.f64 1/16 (.f64 t z))
(+.f64 c (.f64 1/16 (.f64 t z)))
(+.f64 c (.f64 1/16 (.f64 t z)))
(+.f64 c (.f64 1/16 (.f64 t z)))
c
(+.f64 c (.f64 1/16 (.f64 t z)))
(+.f64 c (.f64 1/16 (.f64 t z)))
(+.f64 c (.f64 1/16 (.f64 t z)))
c
(+.f64 c (.f64 1/16 (.f64 t z)))
(+.f64 c (.f64 1/16 (.f64 t z)))
(+.f64 c (.f64 1/16 (.f64 t z)))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(.f64 -1/4 (.f64 a b))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(.f64 -1/4 (.f64 a b))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(.f64 -1/4 (.f64 a b))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(.f64 -1/4 (.f64 a b))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(*.f64 y x)
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(*.f64 y x)
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(*.f64 y x)
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(*.f64 y x)
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(.f64 1/16 (.f64 t z))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(.f64 1/16 (.f64 t z))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(.f64 1/16 (.f64 t z))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(.f64 1/16 (.f64 t z))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
c
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
c
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))

Outputs
c
(+.f64 c (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (*.f64 t z) c)
(fma.f64 t (*.f64 1/16 z) c)
(+.f64 c (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (*.f64 t z) c)
(fma.f64 t (*.f64 1/16 z) c)
(+.f64 c (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (*.f64 t z) c)
(fma.f64 t (*.f64 1/16 z) c)
(.f64 1/16 (.f64 t z))
(+.f64 c (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (*.f64 t z) c)
(fma.f64 t (*.f64 1/16 z) c)
(+.f64 c (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (*.f64 t z) c)
(fma.f64 t (*.f64 1/16 z) c)
(+.f64 c (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (*.f64 t z) c)
(fma.f64 t (*.f64 1/16 z) c)
(.f64 1/16 (.f64 t z))
(+.f64 c (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (*.f64 t z) c)
(fma.f64 t (*.f64 1/16 z) c)
(+.f64 c (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (*.f64 t z) c)
(fma.f64 t (*.f64 1/16 z) c)
(+.f64 c (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (*.f64 t z) c)
(fma.f64 t (*.f64 1/16 z) c)
c
(+.f64 c (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (*.f64 t z) c)
(fma.f64 t (*.f64 1/16 z) c)
(+.f64 c (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (*.f64 t z) c)
(fma.f64 t (*.f64 1/16 z) c)
(+.f64 c (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (*.f64 t z) c)
(fma.f64 t (*.f64 1/16 z) c)
(.f64 1/16 (.f64 t z))
(+.f64 c (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (*.f64 t z) c)
(fma.f64 t (*.f64 1/16 z) c)
(+.f64 c (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (*.f64 t z) c)
(fma.f64 t (*.f64 1/16 z) c)
(+.f64 c (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (*.f64 t z) c)
(fma.f64 t (*.f64 1/16 z) c)
(.f64 1/16 (.f64 t z))
(+.f64 c (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (*.f64 t z) c)
(fma.f64 t (*.f64 1/16 z) c)
(+.f64 c (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (*.f64 t z) c)
(fma.f64 t (*.f64 1/16 z) c)
(+.f64 c (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (*.f64 t z) c)
(fma.f64 t (*.f64 1/16 z) c)
(.f64 1/16 (.f64 t z))
(+.f64 c (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (*.f64 t z) c)
(fma.f64 t (*.f64 1/16 z) c)
(+.f64 c (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (*.f64 t z) c)
(fma.f64 t (*.f64 1/16 z) c)
(+.f64 c (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (*.f64 t z) c)
(fma.f64 t (*.f64 1/16 z) c)
c
(+.f64 c (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (*.f64 t z) c)
(fma.f64 t (*.f64 1/16 z) c)
(+.f64 c (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (*.f64 t z) c)
(fma.f64 t (*.f64 1/16 z) c)
(+.f64 c (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (*.f64 t z) c)
(fma.f64 t (*.f64 1/16 z) c)
c
(+.f64 c (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (*.f64 t z) c)
(fma.f64 t (*.f64 1/16 z) c)
(+.f64 c (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (*.f64 t z) c)
(fma.f64 t (*.f64 1/16 z) c)
(+.f64 c (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (*.f64 t z) c)
(fma.f64 t (*.f64 1/16 z) c)
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (fma.f64 y x (.f64 1/16 (.f64 t z))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 y x)))
(fma.f64 1/16 (*.f64 t z) (fma.f64 y x c))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))))
(fma.f64 y x (fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c)))
(fma.f64 t (.f64 1/16 z) (fma.f64 -1/4 (.f64 a b) (fma.f64 y x c)))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))))
(fma.f64 y x (fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c)))
(fma.f64 t (.f64 1/16 z) (fma.f64 -1/4 (.f64 a b) (fma.f64 y x c)))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))))
(fma.f64 y x (fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c)))
(fma.f64 t (.f64 1/16 z) (fma.f64 -1/4 (.f64 a b) (fma.f64 y x c)))
(.f64 -1/4 (.f64 a b))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))))
(fma.f64 y x (fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c)))
(fma.f64 t (.f64 1/16 z) (fma.f64 -1/4 (.f64 a b) (fma.f64 y x c)))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))))
(fma.f64 y x (fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c)))
(fma.f64 t (.f64 1/16 z) (fma.f64 -1/4 (.f64 a b) (fma.f64 y x c)))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))))
(fma.f64 y x (fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c)))
(fma.f64 t (.f64 1/16 z) (fma.f64 -1/4 (.f64 a b) (fma.f64 y x c)))
(.f64 -1/4 (.f64 a b))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))))
(fma.f64 y x (fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c)))
(fma.f64 t (.f64 1/16 z) (fma.f64 -1/4 (.f64 a b) (fma.f64 y x c)))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))))
(fma.f64 y x (fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c)))
(fma.f64 t (.f64 1/16 z) (fma.f64 -1/4 (.f64 a b) (fma.f64 y x c)))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))))
(fma.f64 y x (fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c)))
(fma.f64 t (.f64 1/16 z) (fma.f64 -1/4 (.f64 a b) (fma.f64 y x c)))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (fma.f64 y x (.f64 1/16 (.f64 t z))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 y x)))
(fma.f64 1/16 (*.f64 t z) (fma.f64 y x c))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))))
(fma.f64 y x (fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c)))
(fma.f64 t (.f64 1/16 z) (fma.f64 -1/4 (.f64 a b) (fma.f64 y x c)))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))))
(fma.f64 y x (fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c)))
(fma.f64 t (.f64 1/16 z) (fma.f64 -1/4 (.f64 a b) (fma.f64 y x c)))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))))
(fma.f64 y x (fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c)))
(fma.f64 t (.f64 1/16 z) (fma.f64 -1/4 (.f64 a b) (fma.f64 y x c)))
(.f64 -1/4 (.f64 a b))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))))
(fma.f64 y x (fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c)))
(fma.f64 t (.f64 1/16 z) (fma.f64 -1/4 (.f64 a b) (fma.f64 y x c)))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))))
(fma.f64 y x (fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c)))
(fma.f64 t (.f64 1/16 z) (fma.f64 -1/4 (.f64 a b) (fma.f64 y x c)))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))))
(fma.f64 y x (fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c)))
(fma.f64 t (.f64 1/16 z) (fma.f64 -1/4 (.f64 a b) (fma.f64 y x c)))
(.f64 -1/4 (.f64 a b))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))))
(fma.f64 y x (fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c)))
(fma.f64 t (.f64 1/16 z) (fma.f64 -1/4 (.f64 a b) (fma.f64 y x c)))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))))
(fma.f64 y x (fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c)))
(fma.f64 t (.f64 1/16 z) (fma.f64 -1/4 (.f64 a b) (fma.f64 y x c)))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))))
(fma.f64 y x (fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c)))
(fma.f64 t (.f64 1/16 z) (fma.f64 -1/4 (.f64 a b) (fma.f64 y x c)))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))))
(fma.f64 y x (fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c)))
(fma.f64 t (.f64 1/16 z) (fma.f64 -1/4 (.f64 a b) (fma.f64 y x c)))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))))
(fma.f64 y x (fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c)))
(fma.f64 t (.f64 1/16 z) (fma.f64 -1/4 (.f64 a b) (fma.f64 y x c)))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))))
(fma.f64 y x (fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c)))
(fma.f64 t (.f64 1/16 z) (fma.f64 -1/4 (.f64 a b) (fma.f64 y x c)))
(*.f64 y x)
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))))
(fma.f64 y x (fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c)))
(fma.f64 t (.f64 1/16 z) (fma.f64 -1/4 (.f64 a b) (fma.f64 y x c)))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))))
(fma.f64 y x (fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c)))
(fma.f64 t (.f64 1/16 z) (fma.f64 -1/4 (.f64 a b) (fma.f64 y x c)))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))))
(fma.f64 y x (fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c)))
(fma.f64 t (.f64 1/16 z) (fma.f64 -1/4 (.f64 a b) (fma.f64 y x c)))
(*.f64 y x)
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))))
(fma.f64 y x (fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c)))
(fma.f64 t (.f64 1/16 z) (fma.f64 -1/4 (.f64 a b) (fma.f64 y x c)))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))))
(fma.f64 y x (fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c)))
(fma.f64 t (.f64 1/16 z) (fma.f64 -1/4 (.f64 a b) (fma.f64 y x c)))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))))
(fma.f64 y x (fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c)))
(fma.f64 t (.f64 1/16 z) (fma.f64 -1/4 (.f64 a b) (fma.f64 y x c)))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))))
(fma.f64 y x (fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c)))
(fma.f64 t (.f64 1/16 z) (fma.f64 -1/4 (.f64 a b) (fma.f64 y x c)))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))))
(fma.f64 y x (fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c)))
(fma.f64 t (.f64 1/16 z) (fma.f64 -1/4 (.f64 a b) (fma.f64 y x c)))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))))
(fma.f64 y x (fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c)))
(fma.f64 t (.f64 1/16 z) (fma.f64 -1/4 (.f64 a b) (fma.f64 y x c)))
(*.f64 y x)
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))))
(fma.f64 y x (fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c)))
(fma.f64 t (.f64 1/16 z) (fma.f64 -1/4 (.f64 a b) (fma.f64 y x c)))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))))
(fma.f64 y x (fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c)))
(fma.f64 t (.f64 1/16 z) (fma.f64 -1/4 (.f64 a b) (fma.f64 y x c)))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))))
(fma.f64 y x (fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c)))
(fma.f64 t (.f64 1/16 z) (fma.f64 -1/4 (.f64 a b) (fma.f64 y x c)))
(*.f64 y x)
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))))
(fma.f64 y x (fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c)))
(fma.f64 t (.f64 1/16 z) (fma.f64 -1/4 (.f64 a b) (fma.f64 y x c)))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))))
(fma.f64 y x (fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c)))
(fma.f64 t (.f64 1/16 z) (fma.f64 -1/4 (.f64 a b) (fma.f64 y x c)))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))))
(fma.f64 y x (fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c)))
(fma.f64 t (.f64 1/16 z) (fma.f64 -1/4 (.f64 a b) (fma.f64 y x c)))
(+.f64 c (+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b))))
(+.f64 c (fma.f64 y x (.f64 -1/4 (.f64 a b))))
(fma.f64 -1/4 (*.f64 a b) (fma.f64 y x c))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))))
(fma.f64 y x (fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c)))
(fma.f64 t (.f64 1/16 z) (fma.f64 -1/4 (.f64 a b) (fma.f64 y x c)))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))))
(fma.f64 y x (fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c)))
(fma.f64 t (.f64 1/16 z) (fma.f64 -1/4 (.f64 a b) (fma.f64 y x c)))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))))
(fma.f64 y x (fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c)))
(fma.f64 t (.f64 1/16 z) (fma.f64 -1/4 (.f64 a b) (fma.f64 y x c)))
(.f64 1/16 (.f64 t z))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))))
(fma.f64 y x (fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c)))
(fma.f64 t (.f64 1/16 z) (fma.f64 -1/4 (.f64 a b) (fma.f64 y x c)))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))))
(fma.f64 y x (fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c)))
(fma.f64 t (.f64 1/16 z) (fma.f64 -1/4 (.f64 a b) (fma.f64 y x c)))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))))
(fma.f64 y x (fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c)))
(fma.f64 t (.f64 1/16 z) (fma.f64 -1/4 (.f64 a b) (fma.f64 y x c)))
(.f64 1/16 (.f64 t z))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))))
(fma.f64 y x (fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c)))
(fma.f64 t (.f64 1/16 z) (fma.f64 -1/4 (.f64 a b) (fma.f64 y x c)))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))))
(fma.f64 y x (fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c)))
(fma.f64 t (.f64 1/16 z) (fma.f64 -1/4 (.f64 a b) (fma.f64 y x c)))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))))
(fma.f64 y x (fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c)))
(fma.f64 t (.f64 1/16 z) (fma.f64 -1/4 (.f64 a b) (fma.f64 y x c)))
(+.f64 c (+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b))))
(+.f64 c (fma.f64 y x (.f64 -1/4 (.f64 a b))))
(fma.f64 -1/4 (*.f64 a b) (fma.f64 y x c))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))))
(fma.f64 y x (fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c)))
(fma.f64 t (.f64 1/16 z) (fma.f64 -1/4 (.f64 a b) (fma.f64 y x c)))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))))
(fma.f64 y x (fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c)))
(fma.f64 t (.f64 1/16 z) (fma.f64 -1/4 (.f64 a b) (fma.f64 y x c)))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))))
(fma.f64 y x (fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c)))
(fma.f64 t (.f64 1/16 z) (fma.f64 -1/4 (.f64 a b) (fma.f64 y x c)))
(.f64 1/16 (.f64 t z))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))))
(fma.f64 y x (fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c)))
(fma.f64 t (.f64 1/16 z) (fma.f64 -1/4 (.f64 a b) (fma.f64 y x c)))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))))
(fma.f64 y x (fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c)))
(fma.f64 t (.f64 1/16 z) (fma.f64 -1/4 (.f64 a b) (fma.f64 y x c)))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))))
(fma.f64 y x (fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c)))
(fma.f64 t (.f64 1/16 z) (fma.f64 -1/4 (.f64 a b) (fma.f64 y x c)))
(.f64 1/16 (.f64 t z))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))))
(fma.f64 y x (fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c)))
(fma.f64 t (.f64 1/16 z) (fma.f64 -1/4 (.f64 a b) (fma.f64 y x c)))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))))
(fma.f64 y x (fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c)))
(fma.f64 t (.f64 1/16 z) (fma.f64 -1/4 (.f64 a b) (fma.f64 y x c)))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))))
(fma.f64 y x (fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c)))
(fma.f64 t (.f64 1/16 z) (fma.f64 -1/4 (.f64 a b) (fma.f64 y x c)))
(+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b))))
(fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(fma.f64 1/16 (.f64 t z) (fma.f64 y x (.f64 -1/4 (*.f64 a b))))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))))
(fma.f64 y x (fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c)))
(fma.f64 t (.f64 1/16 z) (fma.f64 -1/4 (.f64 a b) (fma.f64 y x c)))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))))
(fma.f64 y x (fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c)))
(fma.f64 t (.f64 1/16 z) (fma.f64 -1/4 (.f64 a b) (fma.f64 y x c)))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))))
(fma.f64 y x (fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c)))
(fma.f64 t (.f64 1/16 z) (fma.f64 -1/4 (.f64 a b) (fma.f64 y x c)))
c
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))))
(fma.f64 y x (fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c)))
(fma.f64 t (.f64 1/16 z) (fma.f64 -1/4 (.f64 a b) (fma.f64 y x c)))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))))
(fma.f64 y x (fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c)))
(fma.f64 t (.f64 1/16 z) (fma.f64 -1/4 (.f64 a b) (fma.f64 y x c)))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))))
(fma.f64 y x (fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c)))
(fma.f64 t (.f64 1/16 z) (fma.f64 -1/4 (.f64 a b) (fma.f64 y x c)))
c
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))))
(fma.f64 y x (fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c)))
(fma.f64 t (.f64 1/16 z) (fma.f64 -1/4 (.f64 a b) (fma.f64 y x c)))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))))
(fma.f64 y x (fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c)))
(fma.f64 t (.f64 1/16 z) (fma.f64 -1/4 (.f64 a b) (fma.f64 y x c)))
(+.f64 c (+.f64 (.f64 y x) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (*.f64 a b)))))
(+.f64 c (fma.f64 y x (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))))
(fma.f64 y x (fma.f64 -1/4 (.f64 a b) (fma.f64 t (.f64 1/16 z) c)))
(fma.f64 t (.f64 1/16 z) (fma.f64 -1/4 (.f64 a b) (fma.f64 y x c)))

localize17.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 y x) c)

Compiler

Compiled 18 to 9 computations (50% saved)

series5.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(+.f64 (*.f64 y x) c)
1.0ms	c	@	-inf	(+.f64 (*.f64 y x) c)
1.0ms	y	@	-inf	(+.f64 (*.f64 y x) c)
1.0ms	x	@	-inf	(+.f64 (*.f64 y x) c)
1.0ms	y	@	inf	(+.f64 (*.f64 y x) c)

rewrite72.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

707×	`pow1_binary64`
655×	`add-log-exp_binary64`
655×	`log1p-expm1-u_binary64`
655×	`expm1-log1p-u_binary64`
640×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	5
1	129	5
2	1775	5

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

Inputs
(+.f64 (*.f64 y x) c)

Outputs

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

simplify23.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`fma-def_binary64`
1×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	213
1	8	159
2	10	159

Stop Event

1×

saturated

Counts

71 → 38

Calls

Call 1

Inputs
c
(+.f64 c (*.f64 y x))
(+.f64 c (*.f64 y x))
(+.f64 c (*.f64 y x))
(*.f64 y x)
(+.f64 c (*.f64 y x))
(+.f64 c (*.f64 y x))
(+.f64 c (*.f64 y x))
(*.f64 y x)
(+.f64 c (*.f64 y x))
(+.f64 c (*.f64 y x))
(+.f64 c (*.f64 y x))
c
(+.f64 c (*.f64 y x))
(+.f64 c (*.f64 y x))
(+.f64 c (*.f64 y x))
(*.f64 y x)
(+.f64 c (*.f64 y x))
(+.f64 c (*.f64 y x))
(+.f64 c (*.f64 y x))
(*.f64 y x)
(+.f64 c (*.f64 y x))
(+.f64 c (*.f64 y x))
(+.f64 c (*.f64 y x))
(*.f64 y x)
(+.f64 c (*.f64 y x))
(+.f64 c (*.f64 y x))
(+.f64 c (*.f64 y x))
c
(+.f64 c (*.f64 y x))
(+.f64 c (*.f64 y x))
(+.f64 c (*.f64 y x))
c
(+.f64 c (*.f64 y x))
(+.f64 c (*.f64 y x))
(+.f64 c (*.f64 y x))

Outputs
c
(+.f64 c (*.f64 y x))
(fma.f64 y x c)
(+.f64 c (*.f64 y x))
(fma.f64 y x c)
(+.f64 c (*.f64 y x))
(fma.f64 y x c)
(*.f64 y x)
(+.f64 c (*.f64 y x))
(fma.f64 y x c)
(+.f64 c (*.f64 y x))
(fma.f64 y x c)
(+.f64 c (*.f64 y x))
(fma.f64 y x c)
(*.f64 y x)
(+.f64 c (*.f64 y x))
(fma.f64 y x c)
(+.f64 c (*.f64 y x))
(fma.f64 y x c)
(+.f64 c (*.f64 y x))
(fma.f64 y x c)
c
(+.f64 c (*.f64 y x))
(fma.f64 y x c)
(+.f64 c (*.f64 y x))
(fma.f64 y x c)
(+.f64 c (*.f64 y x))
(fma.f64 y x c)
(*.f64 y x)
(+.f64 c (*.f64 y x))
(fma.f64 y x c)
(+.f64 c (*.f64 y x))
(fma.f64 y x c)
(+.f64 c (*.f64 y x))
(fma.f64 y x c)
(*.f64 y x)
(+.f64 c (*.f64 y x))
(fma.f64 y x c)
(+.f64 c (*.f64 y x))
(fma.f64 y x c)
(+.f64 c (*.f64 y x))
(fma.f64 y x c)
(*.f64 y x)
(+.f64 c (*.f64 y x))
(fma.f64 y x c)
(+.f64 c (*.f64 y x))
(fma.f64 y x c)
(+.f64 c (*.f64 y x))
(fma.f64 y x c)
c
(+.f64 c (*.f64 y x))
(fma.f64 y x c)
(+.f64 c (*.f64 y x))
(fma.f64 y x c)
(+.f64 c (*.f64 y x))
(fma.f64 y x c)
c
(+.f64 c (*.f64 y x))
(fma.f64 y x c)
(+.f64 c (*.f64 y x))
(fma.f64 y x c)
(+.f64 c (*.f64 y x))
(fma.f64 y x c)

localize25.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 a (.f64 b -1/4)) c)

Compiler

Compiled 26 to 17 computations (34.6% saved)

series6.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(+.f64 (.f64 a (.f64 b -1/4)) c)
1.0ms	c	@	0	(+.f64 (.f64 a (.f64 b -1/4)) c)
1.0ms	b	@	0	(+.f64 (.f64 a (.f64 b -1/4)) c)
1.0ms	b	@	-inf	(+.f64 (.f64 a (.f64 b -1/4)) c)
1.0ms	a	@	-inf	(+.f64 (.f64 a (.f64 b -1/4)) c)

rewrite86.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

899×	`pow1_binary64`
836×	`add-log-exp_binary64`
836×	`log1p-expm1-u_binary64`
836×	`expm1-log1p-u_binary64`
818×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	172	8
2	2265	8

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

Inputs
(+.f64 (.f64 a (.f64 b -1/4)) c)

Outputs

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

simplify28.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`fma-def_binary64`
5×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	309
1	13	255
2	23	255
3	29	255

Stop Event

1×

saturated

Counts

72 → 40

Calls

Call 1

Inputs
c
(+.f64 c (.f64 -1/4 (.f64 a b)))
(+.f64 c (.f64 -1/4 (.f64 a b)))
(+.f64 c (.f64 -1/4 (.f64 a b)))
(.f64 -1/4 (.f64 a b))
(+.f64 c (.f64 -1/4 (.f64 a b)))
(+.f64 c (.f64 -1/4 (.f64 a b)))
(+.f64 c (.f64 -1/4 (.f64 a b)))
(.f64 -1/4 (.f64 a b))
(+.f64 c (.f64 -1/4 (.f64 a b)))
(+.f64 c (.f64 -1/4 (.f64 a b)))
(+.f64 c (.f64 -1/4 (.f64 a b)))
c
(+.f64 c (.f64 -1/4 (.f64 a b)))
(+.f64 c (.f64 -1/4 (.f64 a b)))
(+.f64 c (.f64 -1/4 (.f64 a b)))
(.f64 -1/4 (.f64 a b))
(+.f64 c (.f64 -1/4 (.f64 a b)))
(+.f64 c (.f64 -1/4 (.f64 a b)))
(+.f64 c (.f64 -1/4 (.f64 a b)))
(.f64 -1/4 (.f64 a b))
(+.f64 c (.f64 -1/4 (.f64 a b)))
(+.f64 c (.f64 -1/4 (.f64 a b)))
(+.f64 c (.f64 -1/4 (.f64 a b)))
(.f64 -1/4 (.f64 a b))
(+.f64 c (.f64 -1/4 (.f64 a b)))
(+.f64 c (.f64 -1/4 (.f64 a b)))
(+.f64 c (.f64 -1/4 (.f64 a b)))
c
(+.f64 c (.f64 -1/4 (.f64 a b)))
(+.f64 c (.f64 -1/4 (.f64 a b)))
(+.f64 c (.f64 -1/4 (.f64 a b)))
c
(+.f64 c (.f64 -1/4 (.f64 a b)))
(+.f64 c (.f64 -1/4 (.f64 a b)))
(+.f64 c (.f64 -1/4 (.f64 a b)))

Outputs
c
(+.f64 c (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (*.f64 a b) c)
(fma.f64 a (*.f64 -1/4 b) c)
(+.f64 c (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (*.f64 a b) c)
(fma.f64 a (*.f64 -1/4 b) c)
(+.f64 c (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (*.f64 a b) c)
(fma.f64 a (*.f64 -1/4 b) c)
(.f64 -1/4 (.f64 a b))
(+.f64 c (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (*.f64 a b) c)
(fma.f64 a (*.f64 -1/4 b) c)
(+.f64 c (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (*.f64 a b) c)
(fma.f64 a (*.f64 -1/4 b) c)
(+.f64 c (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (*.f64 a b) c)
(fma.f64 a (*.f64 -1/4 b) c)
(.f64 -1/4 (.f64 a b))
(+.f64 c (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (*.f64 a b) c)
(fma.f64 a (*.f64 -1/4 b) c)
(+.f64 c (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (*.f64 a b) c)
(fma.f64 a (*.f64 -1/4 b) c)
(+.f64 c (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (*.f64 a b) c)
(fma.f64 a (*.f64 -1/4 b) c)
c
(+.f64 c (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (*.f64 a b) c)
(fma.f64 a (*.f64 -1/4 b) c)
(+.f64 c (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (*.f64 a b) c)
(fma.f64 a (*.f64 -1/4 b) c)
(+.f64 c (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (*.f64 a b) c)
(fma.f64 a (*.f64 -1/4 b) c)
(.f64 -1/4 (.f64 a b))
(+.f64 c (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (*.f64 a b) c)
(fma.f64 a (*.f64 -1/4 b) c)
(+.f64 c (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (*.f64 a b) c)
(fma.f64 a (*.f64 -1/4 b) c)
(+.f64 c (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (*.f64 a b) c)
(fma.f64 a (*.f64 -1/4 b) c)
(.f64 -1/4 (.f64 a b))
(+.f64 c (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (*.f64 a b) c)
(fma.f64 a (*.f64 -1/4 b) c)
(+.f64 c (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (*.f64 a b) c)
(fma.f64 a (*.f64 -1/4 b) c)
(+.f64 c (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (*.f64 a b) c)
(fma.f64 a (*.f64 -1/4 b) c)
(.f64 -1/4 (.f64 a b))
(+.f64 c (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (*.f64 a b) c)
(fma.f64 a (*.f64 -1/4 b) c)
(+.f64 c (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (*.f64 a b) c)
(fma.f64 a (*.f64 -1/4 b) c)
(+.f64 c (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (*.f64 a b) c)
(fma.f64 a (*.f64 -1/4 b) c)
c
(+.f64 c (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (*.f64 a b) c)
(fma.f64 a (*.f64 -1/4 b) c)
(+.f64 c (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (*.f64 a b) c)
(fma.f64 a (*.f64 -1/4 b) c)
(+.f64 c (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (*.f64 a b) c)
(fma.f64 a (*.f64 -1/4 b) c)
c
(+.f64 c (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (*.f64 a b) c)
(fma.f64 a (*.f64 -1/4 b) c)
(+.f64 c (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (*.f64 a b) c)
(fma.f64 a (*.f64 -1/4 b) c)
(+.f64 c (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (*.f64 a b) c)
(fma.f64 a (*.f64 -1/4 b) c)

localize30.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 1/4 (.f64 a b))
✓	0.0b	(+.f64 c (*.f64 y x))
✓	0.0b	(-.f64 (+.f64 c (.f64 y x)) (.f64 1/4 (*.f64 a b)))

Compiler

Compiled 40 to 16 computations (60% saved)

series17.0ms (0.1%)

Counts

3 → 42

Calls

30 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(+.f64 c (*.f64 y x))
1.0ms	c	@	0	(-.f64 (+.f64 c (.f64 y x)) (.f64 1/4 (*.f64 a b)))
1.0ms	y	@	inf	(-.f64 (+.f64 c (.f64 y x)) (.f64 1/4 (*.f64 a b)))
1.0ms	x	@	-inf	(-.f64 (+.f64 c (.f64 y x)) (.f64 1/4 (*.f64 a b)))
1.0ms	a	@	-inf	(-.f64 (+.f64 c (.f64 y x)) (.f64 1/4 (*.f64 a b)))

rewrite144.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

686×	`log-prod_binary64`
581×	`fma-def_binary64`
358×	`pow2_binary64`
268×	`fma-neg_binary64`
247×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	30
1	267	26
2	3796	24

Stop Event

1×	node limit

Counts

3 → 232

Calls

Call 1

Inputs
(-.f64 (+.f64 c (.f64 y x)) (.f64 1/4 (*.f64 a b)))
(+.f64 c (*.f64 y x))
(.f64 1/4 (.f64 a b))

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 a b) -1/4 (fma.f64 y x c)) (fma.f64 (neg.f64 b) (*.f64 1/4 a) (*.f64 1/4 (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a b) -1/4) (fma.f64 y x c))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y x (*.f64 (*.f64 a b) -1/4)) c)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (*.f64 a b) -1/4 (fma.f64 y x c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (*.f64 a b) -1/4 (fma.f64 y x c)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (*.f64 a b) -1/4 (fma.f64 y x c))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (*.f64 a b) -1/4 (fma.f64 y x c))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (*.f64 a b) -1/4 (fma.f64 y x c))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 a b) -1/4 (fma.f64 y x c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (*.f64 a 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(exp.f64 (fma.f64 y x (*.f64 (*.f64 a b) -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 c) (/.f64 (pow.f64 (exp.f64 y) x) (pow.f64 (pow.f64 (exp.f64 a) b) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 c)) (/.f64 (pow.f64 (exp.f64 y) x) (pow.f64 (pow.f64 (exp.f64 a) b) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 y x c))) (exp.f64 (*.f64 (*.f64 a b) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 y x c)) (/.f64 1 (pow.f64 (pow.f64 (exp.f64 a) b) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 y x c))) (/.f64 1 (pow.f64 (pow.f64 (exp.f64 a) b) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (*.f64 a b) -1/4)) (exp.f64 (fma.f64 y x c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 1 (pow.f64 (pow.f64 (exp.f64 a) b) 1/4)) (exp.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 c c (*.f64 (*.f64 y x) (fma.f64 y x (neg.f64 c)))) (+.f64 (pow.f64 c 3) (pow.f64 (*.f64 y x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 c (*.f64 y x)) (-.f64 (*.f64 c c) (pow.f64 (*.f64 y x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 c 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 c c (*.f64 (*.f64 y x) (fma.f64 y x (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 c 3) (pow.f64 (*.f64 y x) 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (-.f64 (*.f64 c c) (*.f64 (*.f64 c y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 c c) (pow.f64 (*.f64 y x) 2)) (-.f64 c (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 c 3) (pow.f64 (*.f64 y x) 3))) (neg.f64 (fma.f64 c c (*.f64 (*.f64 y x) (fma.f64 y x (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 c c) (pow.f64 (*.f64 y x) 2))) (neg.f64 (-.f64 c (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 c c)) (fma.f64 y x (neg.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y x c) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y x c) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y x c)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y x c)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y x c) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 c c (*.f64 (*.f64 y x) (fma.f64 y x (neg.f64 c)))) (+.f64 (pow.f64 c 3) (pow.f64 (*.f64 y x) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 c (*.f64 y x)) (-.f64 (*.f64 c c) (pow.f64 (*.f64 y x) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y x c) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y x c)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y x c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 c)) (pow.f64 (exp.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 c) (+.f64 1 (expm1.f64 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 c)) (+.f64 1 (expm1.f64 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y x))) (exp.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 y) x) (+.f64 1 (expm1.f64 c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y x))) (+.f64 1 (expm1.f64 c))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y x c) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y x c)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y x c)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y x c)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 y x c)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 c 1 (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x c)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y c)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y x) 1 c)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 c (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y x) c)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 y x)) 2) c)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) c)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 c) (pow.f64 (cbrt.f64 c) 2) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 c) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) c)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) y) c)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) c)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 c) (sqrt.f64 c) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) c)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) c)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) c)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) c)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) c)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) c)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/4 (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) b) 1/4)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) b) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a) b) 1/4))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a) b) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/4 (*.f64 a b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/4 (*.f64 a b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 a b) 2) 1/16) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/4 (*.f64 a b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 a b)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 a b) 3) 1/64) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 a b) 2) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 a) b) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (*.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 a b) 3) 1/64))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/4 (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/4 (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/4 (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/4 (*.f64 a b))) 1))))))

simplify86.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

518×	`fma-def_binary64`
326×	`fma-neg_binary64`
116×	`cancel-sign-sub-inv_binary64`
56×	`distribute-rgt-neg-in_binary64`
56×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	367
1	36	363
2	80	323
3	188	323
4	284	323
5	430	323
6	708	323
7	980	323
8	1233	323
9	1627	323
10	1648	323

Stop Event

1×

saturated

Counts

274 → 243

Calls

Call 1

Inputs
(-.f64 (.f64 y x) (.f64 1/4 (*.f64 a b)))
c
c
(-.f64 c (.f64 1/4 (.f64 a b)))
(*.f64 y x)
(*.f64 y x)
(-.f64 c (.f64 1/4 (.f64 a b)))
(*.f64 y x)
(*.f64 y x)
(+.f64 c (*.f64 y x))
(+.f64 c (+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b))))
(+.f64 c (+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b))))
(+.f64 c (+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b))))
(.f64 -1/4 (.f64 a b))
(+.f64 c (+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b))))
(+.f64 c (+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b))))
(+.f64 c (+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b))))
(.f64 -1/4 (.f64 a b))
(+.f64 c (+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b))))
(+.f64 c (+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b))))
(+.f64 c (+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b))))
(+.f64 c (*.f64 y x))
(+.f64 c (+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b))))
(+.f64 c (+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b))))
(+.f64 c (+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b))))
(.f64 -1/4 (.f64 a b))
(+.f64 c (+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b))))
(+.f64 c (+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b))))
(+.f64 c (+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b))))
(.f64 -1/4 (.f64 a b))
(+.f64 c (+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b))))
(+.f64 c (+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b))))
(+.f64 c (+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b))))
(*.f64 y x)
c
c
c
(*.f64 y x)
(*.f64 y x)
c
(*.f64 y x)
(*.f64 y x)

Outputs
(-.f64 (.f64 y x) (.f64 1/4 (*.f64 a b)))
(fma.f64 y x (.f64 (.f64 a b) -1/4))
(fma.f64 y x (.f64 b (.f64 a -1/4)))
(fma.f64 y x (.f64 a (.f64 b -1/4)))
c
c
(-.f64 c (.f64 1/4 (.f64 a b)))
(+.f64 c (.f64 (.f64 a b) -1/4))
(+.f64 c (.f64 b (.f64 a -1/4)))
(fma.f64 a (*.f64 b -1/4) c)
(fma.f64 b (*.f64 a -1/4) c)
(*.f64 y x)
(*.f64 y x)
(-.f64 c (.f64 1/4 (.f64 a b)))
(+.f64 c (.f64 (.f64 a b) -1/4))
(+.f64 c (.f64 b (.f64 a -1/4)))
(fma.f64 a (*.f64 b -1/4) c)
(fma.f64 b (*.f64 a -1/4) c)
(*.f64 y x)
(*.f64 y x)
(+.f64 c (*.f64 y x))
(+.f64 (*.f64 y x) c)
(fma.f64 y x c)
(+.f64 c (+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b))))
(+.f64 c (fma.f64 y x (.f64 (.f64 a b) -1/4)))
(+.f64 c (fma.f64 y x (.f64 b (.f64 a -1/4))))
(fma.f64 b (*.f64 a -1/4) (fma.f64 y x c))
(fma.f64 y x (fma.f64 a (*.f64 b -1/4) c))
(fma.f64 y x (fma.f64 b (*.f64 a -1/4) c))
(+.f64 c (+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b))))
(+.f64 c (fma.f64 y x (.f64 (.f64 a b) -1/4)))
(+.f64 c (fma.f64 y x (.f64 b (.f64 a -1/4))))
(fma.f64 b (*.f64 a -1/4) (fma.f64 y x c))
(fma.f64 y x (fma.f64 a (*.f64 b -1/4) c))
(fma.f64 y x (fma.f64 b (*.f64 a -1/4) c))
(+.f64 c (+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b))))
(+.f64 c (fma.f64 y x (.f64 (.f64 a b) -1/4)))
(+.f64 c (fma.f64 y x (.f64 b (.f64 a -1/4))))
(fma.f64 b (*.f64 a -1/4) (fma.f64 y x c))
(fma.f64 y x (fma.f64 a (*.f64 b -1/4) c))
(fma.f64 y x (fma.f64 b (*.f64 a -1/4) c))
(.f64 -1/4 (.f64 a b))
(.f64 (.f64 a b) -1/4)
(.f64 b (.f64 a -1/4))
(.f64 a (.f64 b -1/4))
(+.f64 c (+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b))))
(+.f64 c (fma.f64 y x (.f64 (.f64 a b) -1/4)))
(+.f64 c (fma.f64 y x (.f64 b (.f64 a -1/4))))
(fma.f64 b (*.f64 a -1/4) (fma.f64 y x c))
(fma.f64 y x (fma.f64 a (*.f64 b -1/4) c))
(fma.f64 y x (fma.f64 b (*.f64 a -1/4) c))
(+.f64 c (+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b))))
(+.f64 c (fma.f64 y x (.f64 (.f64 a b) -1/4)))
(+.f64 c (fma.f64 y x (.f64 b (.f64 a -1/4))))
(fma.f64 b (*.f64 a -1/4) (fma.f64 y x c))
(fma.f64 y x (fma.f64 a (*.f64 b -1/4) c))
(fma.f64 y x (fma.f64 b (*.f64 a -1/4) c))
(+.f64 c (+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b))))
(+.f64 c (fma.f64 y x (.f64 (.f64 a b) -1/4)))
(+.f64 c (fma.f64 y x (.f64 b (.f64 a -1/4))))
(fma.f64 b (*.f64 a -1/4) (fma.f64 y x c))
(fma.f64 y x (fma.f64 a (*.f64 b -1/4) c))
(fma.f64 y x (fma.f64 b (*.f64 a -1/4) c))
(.f64 -1/4 (.f64 a b))
(.f64 (.f64 a b) -1/4)
(.f64 b (.f64 a -1/4))
(.f64 a (.f64 b -1/4))
(+.f64 c (+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b))))
(+.f64 c (fma.f64 y x (.f64 (.f64 a b) -1/4)))
(+.f64 c (fma.f64 y x (.f64 b (.f64 a -1/4))))
(fma.f64 b (*.f64 a -1/4) (fma.f64 y x c))
(fma.f64 y x (fma.f64 a (*.f64 b -1/4) c))
(fma.f64 y x (fma.f64 b (*.f64 a -1/4) c))
(+.f64 c (+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b))))
(+.f64 c (fma.f64 y x (.f64 (.f64 a b) -1/4)))
(+.f64 c (fma.f64 y x (.f64 b (.f64 a -1/4))))
(fma.f64 b (*.f64 a -1/4) (fma.f64 y x c))
(fma.f64 y x (fma.f64 a (*.f64 b -1/4) c))
(fma.f64 y x (fma.f64 b (*.f64 a -1/4) c))
(+.f64 c (+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b))))
(+.f64 c (fma.f64 y x (.f64 (.f64 a b) -1/4)))
(+.f64 c (fma.f64 y x (.f64 b (.f64 a -1/4))))
(fma.f64 b (*.f64 a -1/4) (fma.f64 y x c))
(fma.f64 y x (fma.f64 a (*.f64 b -1/4) c))
(fma.f64 y x (fma.f64 b (*.f64 a -1/4) c))
(+.f64 c (*.f64 y x))
(+.f64 (*.f64 y x) c)
(fma.f64 y x c)
(+.f64 c (+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b))))
(+.f64 c (fma.f64 y x (.f64 (.f64 a b) -1/4)))
(+.f64 c (fma.f64 y x (.f64 b (.f64 a -1/4))))
(fma.f64 b (*.f64 a -1/4) (fma.f64 y x c))
(fma.f64 y x (fma.f64 a (*.f64 b -1/4) c))
(fma.f64 y x (fma.f64 b (*.f64 a -1/4) c))
(+.f64 c (+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b))))
(+.f64 c (fma.f64 y x (.f64 (.f64 a b) -1/4)))
(+.f64 c (fma.f64 y x (.f64 b (.f64 a -1/4))))
(fma.f64 b (*.f64 a -1/4) (fma.f64 y x c))
(fma.f64 y x (fma.f64 a (*.f64 b -1/4) c))
(fma.f64 y x (fma.f64 b (*.f64 a -1/4) c))
(+.f64 c (+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b))))
(+.f64 c (fma.f64 y x (.f64 (.f64 a b) -1/4)))
(+.f64 c (fma.f64 y x (.f64 b (.f64 a -1/4))))
(fma.f64 b (*.f64 a -1/4) (fma.f64 y x c))
(fma.f64 y x (fma.f64 a (*.f64 b -1/4) c))
(fma.f64 y x (fma.f64 b (*.f64 a -1/4) c))
(.f64 -1/4 (.f64 a b))
(.f64 (.f64 a b) -1/4)
(.f64 b (.f64 a -1/4))
(.f64 a (.f64 b -1/4))
(+.f64 c (+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b))))
(+.f64 c (fma.f64 y x (.f64 (.f64 a b) -1/4)))
(+.f64 c (fma.f64 y x (.f64 b (.f64 a -1/4))))
(fma.f64 b (*.f64 a -1/4) (fma.f64 y x c))
(fma.f64 y x (fma.f64 a (*.f64 b -1/4) c))
(fma.f64 y x (fma.f64 b (*.f64 a -1/4) c))
(+.f64 c (+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b))))
(+.f64 c (fma.f64 y x (.f64 (.f64 a b) -1/4)))
(+.f64 c (fma.f64 y x (.f64 b (.f64 a -1/4))))
(fma.f64 b (*.f64 a -1/4) (fma.f64 y x c))
(fma.f64 y x (fma.f64 a (*.f64 b -1/4) c))
(fma.f64 y x (fma.f64 b (*.f64 a -1/4) c))
(+.f64 c (+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b))))
(+.f64 c (fma.f64 y x (.f64 (.f64 a b) -1/4)))
(+.f64 c (fma.f64 y x (.f64 b (.f64 a -1/4))))
(fma.f64 b (*.f64 a -1/4) (fma.f64 y x c))
(fma.f64 y x (fma.f64 a (*.f64 b -1/4) c))
(fma.f64 y x (fma.f64 b (*.f64 a -1/4) c))
(.f64 -1/4 (.f64 a b))
(.f64 (.f64 a b) -1/4)
(.f64 b (.f64 a -1/4))
(.f64 a (.f64 b -1/4))
(+.f64 c (+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b))))
(+.f64 c (fma.f64 y x (.f64 (.f64 a b) -1/4)))
(+.f64 c (fma.f64 y x (.f64 b (.f64 a -1/4))))
(fma.f64 b (*.f64 a -1/4) (fma.f64 y x c))
(fma.f64 y x (fma.f64 a (*.f64 b -1/4) c))
(fma.f64 y x (fma.f64 b (*.f64 a -1/4) c))
(+.f64 c (+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b))))
(+.f64 c (fma.f64 y x (.f64 (.f64 a b) -1/4)))
(+.f64 c (fma.f64 y x (.f64 b (.f64 a -1/4))))
(fma.f64 b (*.f64 a -1/4) (fma.f64 y x c))
(fma.f64 y x (fma.f64 a (*.f64 b -1/4) c))
(fma.f64 y x (fma.f64 b (*.f64 a -1/4) c))
(+.f64 c (+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b))))
(+.f64 c (fma.f64 y x (.f64 (.f64 a b) -1/4)))
(+.f64 c (fma.f64 y x (.f64 b (.f64 a -1/4))))
(fma.f64 b (*.f64 a -1/4) (fma.f64 y x c))
(fma.f64 y x (fma.f64 a (*.f64 b -1/4) c))
(fma.f64 y x (fma.f64 b (*.f64 a -1/4) c))
(*.f64 y x)
c
c
c
(*.f64 y x)
(*.f64 y x)
c
(*.f64 y x)
(*.f64 y x)

localize25.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 c (.f64 1/16 (.f64 t z)))

Compiler

Compiled 38 to 18 computations (52.6% saved)

series4.0ms (0%)

Counts

1 → 9

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	c	@	0	(+.f64 c (.f64 1/16 (.f64 t z)))
0.0ms	z	@	-inf	(+.f64 c (.f64 1/16 (.f64 t z)))
0.0ms	t	@	inf	(+.f64 c (.f64 1/16 (.f64 t z)))
0.0ms	c	@	inf	(+.f64 c (.f64 1/16 (.f64 t z)))
0.0ms	t	@	-inf	(+.f64 c (.f64 1/16 (.f64 t z)))

rewrite90.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

904×	`pow1_binary64`
843×	`add-log-exp_binary64`
843×	`log1p-expm1-u_binary64`
843×	`expm1-log1p-u_binary64`
826×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	172	8
2	2278	8

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

Inputs
(+.f64 c (.f64 1/16 (.f64 t z)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 1/16 (*.f64 t z) c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 c c) (+.f64 c (*.f64 -1/16 (*.f64 t z)))) (/.f64 (*.f64 (pow.f64 (*.f64 t z) 2) 1/256) (+.f64 c (*.f64 -1/16 (*.f64 t z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/16 (*.f64 t z) c) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/16 (*.f64 t z) c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/16 (*.f64 t z) c)) (pow.f64 (cbrt.f64 (fma.f64 1/16 (*.f64 t z) c)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/16 (*.f64 t z) c)) 2) (cbrt.f64 (fma.f64 1/16 (*.f64 t z) c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/16 (*.f64 t z) c)) (sqrt.f64 (fma.f64 1/16 (*.f64 t z) c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 c 3) (*.f64 (pow.f64 (*.f64 t z) 3) 1/4096)) (/.f64 1 (fma.f64 c c (*.f64 (*.f64 1/16 (*.f64 t z)) (-.f64 (*.f64 1/16 (*.f64 t z)) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 c c) (*.f64 (pow.f64 (*.f64 t z) 2) 1/256)) (/.f64 1 (+.f64 c (*.f64 -1/16 (*.f64 t z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 c c (*.f64 (*.f64 1/16 (*.f64 t z)) (-.f64 (*.f64 1/16 (*.f64 t z)) c))) (+.f64 (pow.f64 c 3) (*.f64 (pow.f64 (*.f64 t z) 3) 1/4096))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 c (*.f64 -1/16 (*.f64 t z))) (-.f64 (*.f64 c c) (*.f64 (pow.f64 (*.f64 t z) 2) 1/256))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 c 3) (*.f64 (pow.f64 (*.f64 t z) 3) 1/4096)) (fma.f64 c c (*.f64 (*.f64 1/16 (*.f64 t z)) (-.f64 (*.f64 1/16 (*.f64 t z)) c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 c 3) (*.f64 (pow.f64 (*.f64 t z) 3) 1/4096)) (+.f64 (*.f64 (pow.f64 (*.f64 t z) 2) 1/256) (-.f64 (*.f64 c c) (*.f64 c (*.f64 1/16 (*.f64 t z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 c c) (*.f64 (pow.f64 (*.f64 t z) 2) 1/256)) (+.f64 c (*.f64 -1/16 (*.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 c 3) (*.f64 (pow.f64 (*.f64 t z) 3) 1/4096))) (neg.f64 (fma.f64 c c (*.f64 (*.f64 1/16 (*.f64 t z)) (-.f64 (*.f64 1/16 (*.f64 t z)) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 c c) (*.f64 (pow.f64 (*.f64 t z) 2) 1/256))) (neg.f64 (+.f64 c (*.f64 -1/16 (*.f64 t z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (*.f64 t z) 2) 1/256) (*.f64 c c)) (-.f64 (*.f64 1/16 (*.f64 t z)) c))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/16 (*.f64 t z) c) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/16 (*.f64 t z) c) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/16 (*.f64 t z) c)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/16 (*.f64 t z) c)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/16 (*.f64 t z) c) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/16 (*.f64 t z) c)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/16 (*.f64 t z) c) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/16 (*.f64 t z) c)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/16 (*.f64 t z) c)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/16 (*.f64 t z) c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/16 (*.f64 t z) c)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 t z) 1/16 c)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 c (*.f64 1/16 (*.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/16 (*.f64 t z)) c)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 c) (*.f64 1/16 (*.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/16 (*.f64 t z))) 2) (cbrt.f64 (*.f64 1/16 (*.f64 t z))) c)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 c) (sqrt.f64 c) (*.f64 1/16 (*.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/16 (*.f64 t z))) (sqrt.f64 (*.f64 1/16 (*.f64 t z))) c)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/16 t) z c)))))

simplify18.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	39
1	11	39
2	18	39
3	20	39

Stop Event

1×

saturated

Counts

45 → 38

Calls

Call 1

Inputs
(.f64 1/16 (.f64 t z))
c
c
c
(.f64 1/16 (.f64 t z))
(.f64 1/16 (.f64 t z))
c
(.f64 1/16 (.f64 t z))
(.f64 1/16 (.f64 t z))

Outputs
(.f64 1/16 (.f64 t z))
c
c
c
(.f64 1/16 (.f64 t z))
(.f64 1/16 (.f64 t z))
c
(.f64 1/16 (.f64 t z))
(.f64 1/16 (.f64 t z))

eval248.0ms (1.2%)

Compiler: Compiled 7630 to 3402 computations (55.4% saved)

prune162.0ms (0.8%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	428	7	435
Fresh	2	3	5
Picked	1	0	1
Done	2	2	4
Total	433	12	445

Error

Counts

445 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.9b	(fma.f64 (*.f64 b -1/4) a c)
▶	29.3b	(+.f64 (.f64 1/16 (.f64 t z)) c)
	18.1b	(fma.f64 a (.f64 b -1/4) (fma.f64 y x (.f64 1/16 (*.f64 t z))))
	34.5b	(-.f64 (.f64 y x) (.f64 1/4 (*.f64 a b)))
▶	49.7b	(*.f64 y x)
▶	16.0b	(+.f64 (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))) c)
✓	31.9b	(+.f64 (*.f64 y x) c)
	31.9b	(fma.f64 y x c)
	45.0b	c
▶	13.7b	(-.f64 (+.f64 c (.f64 1/16 (.f64 t z))) (.f64 1/4 (.f64 a b)))
✓	29.9b	(+.f64 (.f64 a (.f64 b -1/4)) c)
	47.4b	(.f64 a (.f64 b -1/4))

Compiler

Compiled 302 to 229 computations (24.2% saved)

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(.f64 1/4 (.f64 a b))
	0.0b	(+.f64 c (.f64 1/16 (.f64 t z)))
✓	0.0b	(-.f64 (+.f64 c (.f64 1/16 (.f64 t z))) (.f64 1/4 (.f64 a b)))

Compiler

Compiled 50 to 24 computations (52% saved)

series5.0ms (0%)

Counts

1 → 33

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	c	@	0	(-.f64 (+.f64 c (.f64 1/16 (.f64 t z))) (.f64 1/4 (.f64 a b)))
0.0ms	c	@	inf	(-.f64 (+.f64 c (.f64 1/16 (.f64 t z))) (.f64 1/4 (.f64 a b)))
0.0ms	t	@	0	(-.f64 (+.f64 c (.f64 1/16 (.f64 t z))) (.f64 1/4 (.f64 a b)))
0.0ms	c	@	-inf	(-.f64 (+.f64 c (.f64 1/16 (.f64 t z))) (.f64 1/4 (.f64 a b)))
0.0ms	t	@	-inf	(-.f64 (+.f64 c (.f64 1/16 (.f64 t z))) (.f64 1/4 (.f64 a b)))

rewrite92.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

783×	`log-prod_binary64`
644×	`fma-def_binary64`
292×	`fma-neg_binary64`
275×	`expm1-udef_binary64`
275×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	19
1	308	17
2	4267	15

Stop Event

1×	node limit

Counts

1 → 157

Calls

Call 1

Inputs
(-.f64 (+.f64 c (.f64 1/16 (.f64 t z))) (.f64 1/4 (.f64 a b)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 c (fma.f64 1/16 (*.f64 t z) (*.f64 (*.f64 a b) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 c (*.f64 (fma.f64 1/16 (*.f64 t z) (*.f64 (*.f64 a b) -1/4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/16 (*.f64 t z)) (+.f64 c (*.f64 (*.f64 a b) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/16 (*.f64 t z) c) (*.f64 (*.f64 a b) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/16 (*.f64 t z) c) (*.f64 (*.f64 (*.f64 a b) -1/4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 a b) -1/4 (fma.f64 1/16 (*.f64 t z) c)) (fma.f64 (*.f64 (*.f64 a b) -1/4) 1 (*.f64 1/4 (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 a b) -1/4 (fma.f64 1/16 (*.f64 t z) c)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/4 (*.f64 a b)))) (pow.f64 (cbrt.f64 (*.f64 1/4 (*.f64 a b))) 2) (*.f64 1/4 (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 a b) -1/4 (fma.f64 1/16 (*.f64 t z) c)) (fma.f64 -1/4 (*.f64 a b) (*.f64 1/4 (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 a b) -1/4 (fma.f64 1/16 (*.f64 t z) c)) (fma.f64 (neg.f64 b) (*.f64 1/4 a) (*.f64 1/4 (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a b) -1/4) (fma.f64 1/16 (*.f64 t z) c))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/16 (*.f64 t z) (*.f64 (*.f64 a b) -1/4)) c)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (*.f64 a b) -1/4 (fma.f64 1/16 (*.f64 t z) c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (*.f64 a b) -1/4 (fma.f64 1/16 (*.f64 t z) c)))) (cbrt.f64 (exp.f64 (fma.f64 (*.f64 a b) -1/4 (fma.f64 1/16 (*.f64 t z) c)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (*.f64 a b) -1/4 (fma.f64 1/16 (*.f64 t z) c))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (*.f64 a b) -1/4 (fma.f64 1/16 (*.f64 t z) c))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (*.f64 a b) -1/4 (fma.f64 1/16 (*.f64 t z) c))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 a b) -1/4 (fma.f64 1/16 (*.f64 t z) c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (*.f64 a b) -1/4 (fma.f64 1/16 (*.f64 t z) c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 a b) -1/4 (fma.f64 1/16 (*.f64 t z) c))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 a b) -1/4 (fma.f64 1/16 (*.f64 t z) c))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 a b) -1/4 (fma.f64 1/16 (*.f64 t z) c))) 2) (cbrt.f64 (fma.f64 (*.f64 a b) -1/4 (fma.f64 1/16 (*.f64 t z) c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (*.f64 a b) -1/4 (fma.f64 1/16 (*.f64 t z) c))) (sqrt.f64 (fma.f64 (*.f64 a b) -1/4 (fma.f64 1/16 (*.f64 t z) c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 1/16 (*.f64 t 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simplify68.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

615×	`fma-def_binary64`
412×	`fma-neg_binary64`
141×	`cancel-sign-sub-inv_binary64`
86×	`distribute-rgt-neg-in_binary64`
68×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	418
1	41	414
2	95	374
3	224	374
4	337	374
5	541	374
6	883	374
7	1255	374
8	1579	374
9	2006	374
10	2027	374

Stop Event

1×

saturated

Counts

190 → 170

Calls

Call 1

Inputs
(-.f64 (.f64 1/16 (.f64 t z)) (.f64 1/4 (.f64 a b)))
c
c
(-.f64 c (.f64 1/4 (.f64 a b)))
(.f64 1/16 (.f64 t z))
(.f64 1/16 (.f64 t z))
(-.f64 c (.f64 1/4 (.f64 a b)))
(.f64 1/16 (.f64 t z))
(.f64 1/16 (.f64 t z))
(+.f64 c (.f64 1/16 (.f64 t z)))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(.f64 -1/4 (.f64 a b))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(.f64 -1/4 (.f64 a b))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (.f64 1/16 (.f64 t z)))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(.f64 -1/4 (.f64 a b))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(.f64 -1/4 (.f64 a b))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))

Outputs
(-.f64 (.f64 1/16 (.f64 t z)) (.f64 1/4 (.f64 a b)))
(fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4))
(fma.f64 1/16 (.f64 t z) (.f64 b (*.f64 a -1/4)))
(fma.f64 1/16 (.f64 t z) (.f64 a (*.f64 b -1/4)))
c
c
(-.f64 c (.f64 1/4 (.f64 a b)))
(+.f64 c (.f64 (.f64 a b) -1/4))
(+.f64 c (.f64 b (.f64 a -1/4)))
(fma.f64 a (*.f64 b -1/4) c)
(fma.f64 b (*.f64 a -1/4) c)
(.f64 1/16 (.f64 t z))
(.f64 (.f64 1/16 t) z)
(.f64 1/16 (.f64 t z))
(.f64 (.f64 1/16 t) z)
(-.f64 c (.f64 1/4 (.f64 a b)))
(+.f64 c (.f64 (.f64 a b) -1/4))
(+.f64 c (.f64 b (.f64 a -1/4)))
(fma.f64 a (*.f64 b -1/4) c)
(fma.f64 b (*.f64 a -1/4) c)
(.f64 1/16 (.f64 t z))
(.f64 (.f64 1/16 t) z)
(.f64 1/16 (.f64 t z))
(.f64 (.f64 1/16 t) z)
(+.f64 c (.f64 1/16 (.f64 t z)))
(+.f64 (.f64 (.f64 1/16 t) z) c)
(fma.f64 1/16 (*.f64 t z) c)
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 b (*.f64 a -1/4))))
(fma.f64 1/16 (.f64 t z) (fma.f64 a (.f64 b -1/4) c))
(fma.f64 1/16 (.f64 t z) (fma.f64 b (.f64 a -1/4) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 b (*.f64 a -1/4))))
(fma.f64 1/16 (.f64 t z) (fma.f64 a (.f64 b -1/4) c))
(fma.f64 1/16 (.f64 t z) (fma.f64 b (.f64 a -1/4) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 b (*.f64 a -1/4))))
(fma.f64 1/16 (.f64 t z) (fma.f64 a (.f64 b -1/4) c))
(fma.f64 1/16 (.f64 t z) (fma.f64 b (.f64 a -1/4) c))
(.f64 -1/4 (.f64 a b))
(.f64 (.f64 a b) -1/4)
(.f64 b (.f64 a -1/4))
(.f64 a (.f64 b -1/4))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 b (*.f64 a -1/4))))
(fma.f64 1/16 (.f64 t z) (fma.f64 a (.f64 b -1/4) c))
(fma.f64 1/16 (.f64 t z) (fma.f64 b (.f64 a -1/4) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 b (*.f64 a -1/4))))
(fma.f64 1/16 (.f64 t z) (fma.f64 a (.f64 b -1/4) c))
(fma.f64 1/16 (.f64 t z) (fma.f64 b (.f64 a -1/4) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 b (*.f64 a -1/4))))
(fma.f64 1/16 (.f64 t z) (fma.f64 a (.f64 b -1/4) c))
(fma.f64 1/16 (.f64 t z) (fma.f64 b (.f64 a -1/4) c))
(.f64 -1/4 (.f64 a b))
(.f64 (.f64 a b) -1/4)
(.f64 b (.f64 a -1/4))
(.f64 a (.f64 b -1/4))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 b (*.f64 a -1/4))))
(fma.f64 1/16 (.f64 t z) (fma.f64 a (.f64 b -1/4) c))
(fma.f64 1/16 (.f64 t z) (fma.f64 b (.f64 a -1/4) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 b (*.f64 a -1/4))))
(fma.f64 1/16 (.f64 t z) (fma.f64 a (.f64 b -1/4) c))
(fma.f64 1/16 (.f64 t z) (fma.f64 b (.f64 a -1/4) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 b (*.f64 a -1/4))))
(fma.f64 1/16 (.f64 t z) (fma.f64 a (.f64 b -1/4) c))
(fma.f64 1/16 (.f64 t z) (fma.f64 b (.f64 a -1/4) c))
(+.f64 c (.f64 1/16 (.f64 t z)))
(+.f64 (.f64 (.f64 1/16 t) z) c)
(fma.f64 1/16 (*.f64 t z) c)
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 b (*.f64 a -1/4))))
(fma.f64 1/16 (.f64 t z) (fma.f64 a (.f64 b -1/4) c))
(fma.f64 1/16 (.f64 t z) (fma.f64 b (.f64 a -1/4) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 b (*.f64 a -1/4))))
(fma.f64 1/16 (.f64 t z) (fma.f64 a (.f64 b -1/4) c))
(fma.f64 1/16 (.f64 t z) (fma.f64 b (.f64 a -1/4) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 b (*.f64 a -1/4))))
(fma.f64 1/16 (.f64 t z) (fma.f64 a (.f64 b -1/4) c))
(fma.f64 1/16 (.f64 t z) (fma.f64 b (.f64 a -1/4) c))
(.f64 -1/4 (.f64 a b))
(.f64 (.f64 a b) -1/4)
(.f64 b (.f64 a -1/4))
(.f64 a (.f64 b -1/4))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 b (*.f64 a -1/4))))
(fma.f64 1/16 (.f64 t z) (fma.f64 a (.f64 b -1/4) c))
(fma.f64 1/16 (.f64 t z) (fma.f64 b (.f64 a -1/4) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 b (*.f64 a -1/4))))
(fma.f64 1/16 (.f64 t z) (fma.f64 a (.f64 b -1/4) c))
(fma.f64 1/16 (.f64 t z) (fma.f64 b (.f64 a -1/4) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 b (*.f64 a -1/4))))
(fma.f64 1/16 (.f64 t z) (fma.f64 a (.f64 b -1/4) c))
(fma.f64 1/16 (.f64 t z) (fma.f64 b (.f64 a -1/4) c))
(.f64 -1/4 (.f64 a b))
(.f64 (.f64 a b) -1/4)
(.f64 b (.f64 a -1/4))
(.f64 a (.f64 b -1/4))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 b (*.f64 a -1/4))))
(fma.f64 1/16 (.f64 t z) (fma.f64 a (.f64 b -1/4) c))
(fma.f64 1/16 (.f64 t z) (fma.f64 b (.f64 a -1/4) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 b (*.f64 a -1/4))))
(fma.f64 1/16 (.f64 t z) (fma.f64 a (.f64 b -1/4) c))
(fma.f64 1/16 (.f64 t z) (fma.f64 b (.f64 a -1/4) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 (*.f64 a b) -1/4)))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 b (*.f64 a -1/4))))
(fma.f64 1/16 (.f64 t z) (fma.f64 a (.f64 b -1/4) c))
(fma.f64 1/16 (.f64 t z) (fma.f64 b (.f64 a -1/4) c))

localize5.0ms (0%)

Compiler: Compiled 12 to 8 computations (33.3% saved)

localize10.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 1/16 (.f64 t z)) c)

Compiler

Compiled 26 to 14 computations (46.2% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	c	@	0	(+.f64 (.f64 1/16 (.f64 t z)) c)
0.0ms	t	@	0	(+.f64 (.f64 1/16 (.f64 t z)) c)
0.0ms	t	@	inf	(+.f64 (.f64 1/16 (.f64 t z)) c)
0.0ms	z	@	inf	(+.f64 (.f64 1/16 (.f64 t z)) c)
0.0ms	t	@	-inf	(+.f64 (.f64 1/16 (.f64 t z)) c)

rewrite57.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

895×	`pow1_binary64`
833×	`add-log-exp_binary64`
833×	`log1p-expm1-u_binary64`
833×	`expm1-log1p-u_binary64`
816×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	173	8
2	2265	8

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

Inputs
(+.f64 (.f64 1/16 (.f64 t z)) c)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (*.f64 1/16 t) z c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 1/16 (*.f64 t z)) 2) (fma.f64 1/16 (*.f64 t z) (neg.f64 c))) (/.f64 (*.f64 c c) (fma.f64 1/16 (*.f64 t z) (neg.f64 c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 1/16 t) z c) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (*.f64 1/16 t) z c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 1/16 t) z c)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 1/16 t) z c)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 1/16 t) z c)) 2) (cbrt.f64 (fma.f64 (*.f64 1/16 t) z c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (*.f64 1/16 t) z c)) (sqrt.f64 (fma.f64 (*.f64 1/16 t) z c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 1/16 (*.f64 t z)) 3) (pow.f64 c 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 1/16 (*.f64 t z)) 2) (*.f64 c (-.f64 c (*.f64 1/16 (*.f64 t z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 1/16 (*.f64 t z)) 2) (*.f64 c c)) (/.f64 1 (fma.f64 1/16 (*.f64 t z) (neg.f64 c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 1/16 (*.f64 t z)) 2) (*.f64 c (-.f64 c (*.f64 1/16 (*.f64 t z))))) (+.f64 (pow.f64 (*.f64 1/16 (*.f64 t z)) 3) (pow.f64 c 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 1/16 (*.f64 t z) (neg.f64 c)) (-.f64 (pow.f64 (*.f64 1/16 (*.f64 t z)) 2) (*.f64 c c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/16 (*.f64 t z)) 3) (pow.f64 c 3)) (+.f64 (pow.f64 (*.f64 1/16 (*.f64 t z)) 2) (*.f64 c (-.f64 c (*.f64 1/16 (*.f64 t z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/16 (*.f64 t z)) 3) (pow.f64 c 3)) (+.f64 (*.f64 c c) (-.f64 (pow.f64 (*.f64 1/16 (*.f64 t z)) 2) (*.f64 1/16 (*.f64 (*.f64 t z) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 1/16 (*.f64 t z)) 2) (*.f64 c c)) (fma.f64 1/16 (*.f64 t z) (neg.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 1/16 (*.f64 t z)) 3) (pow.f64 c 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 1/16 (*.f64 t z)) 2) (*.f64 c (-.f64 c (*.f64 1/16 (*.f64 t z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 1/16 (*.f64 t z)) 2) (*.f64 c c))) (neg.f64 (fma.f64 1/16 (*.f64 t z) (neg.f64 c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 c c) (pow.f64 (*.f64 1/16 (*.f64 t z)) 2)) (-.f64 c (*.f64 1/16 (*.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 1/16 t) z c) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 1/16 t) z c) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (*.f64 1/16 t) z c)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (*.f64 1/16 t) z c)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (*.f64 1/16 t) z c) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (*.f64 1/16 t) z c)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (*.f64 1/16 t) z c) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (*.f64 1/16 t) z c)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (*.f64 1/16 t) z c)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (*.f64 1/16 t) z c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/16 (*.f64 t z) c)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 t z) 1/16 c)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/16 (*.f64 t z)) c)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 c (*.f64 1/16 (*.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/16 (*.f64 t z))) 2) (cbrt.f64 (*.f64 1/16 (*.f64 t z))) c)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 c) (*.f64 1/16 (*.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/16 (*.f64 t z))) (sqrt.f64 (*.f64 1/16 (*.f64 t z))) c)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 c) (sqrt.f64 c) (*.f64 1/16 (*.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/16 t) z c)))))

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`fma-def_binary64`
5×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	309
1	13	255
2	23	255
3	29	255

Stop Event

1×

saturated

Counts

72 → 40

Calls

Call 1

Inputs
c
(+.f64 c (.f64 1/16 (.f64 t z)))
(+.f64 c (.f64 1/16 (.f64 t z)))
(+.f64 c (.f64 1/16 (.f64 t z)))
(.f64 1/16 (.f64 t z))
(+.f64 c (.f64 1/16 (.f64 t z)))
(+.f64 c (.f64 1/16 (.f64 t z)))
(+.f64 c (.f64 1/16 (.f64 t z)))
(.f64 1/16 (.f64 t z))
(+.f64 c (.f64 1/16 (.f64 t z)))
(+.f64 c (.f64 1/16 (.f64 t z)))
(+.f64 c (.f64 1/16 (.f64 t z)))
c
(+.f64 c (.f64 1/16 (.f64 t z)))
(+.f64 c (.f64 1/16 (.f64 t z)))
(+.f64 c (.f64 1/16 (.f64 t z)))
(.f64 1/16 (.f64 t z))
(+.f64 c (.f64 1/16 (.f64 t z)))
(+.f64 c (.f64 1/16 (.f64 t z)))
(+.f64 c (.f64 1/16 (.f64 t z)))
(.f64 1/16 (.f64 t z))
(+.f64 c (.f64 1/16 (.f64 t z)))
(+.f64 c (.f64 1/16 (.f64 t z)))
(+.f64 c (.f64 1/16 (.f64 t z)))
(.f64 1/16 (.f64 t z))
(+.f64 c (.f64 1/16 (.f64 t z)))
(+.f64 c (.f64 1/16 (.f64 t z)))
(+.f64 c (.f64 1/16 (.f64 t z)))
c
(+.f64 c (.f64 1/16 (.f64 t z)))
(+.f64 c (.f64 1/16 (.f64 t z)))
(+.f64 c (.f64 1/16 (.f64 t z)))
c
(+.f64 c (.f64 1/16 (.f64 t z)))
(+.f64 c (.f64 1/16 (.f64 t z)))
(+.f64 c (.f64 1/16 (.f64 t z)))

Outputs
c
(+.f64 c (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (*.f64 t z) c)
(fma.f64 t (*.f64 1/16 z) c)
(+.f64 c (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (*.f64 t z) c)
(fma.f64 t (*.f64 1/16 z) c)
(+.f64 c (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (*.f64 t z) c)
(fma.f64 t (*.f64 1/16 z) c)
(.f64 1/16 (.f64 t z))
(+.f64 c (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (*.f64 t z) c)
(fma.f64 t (*.f64 1/16 z) c)
(+.f64 c (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (*.f64 t z) c)
(fma.f64 t (*.f64 1/16 z) c)
(+.f64 c (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (*.f64 t z) c)
(fma.f64 t (*.f64 1/16 z) c)
(.f64 1/16 (.f64 t z))
(+.f64 c (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (*.f64 t z) c)
(fma.f64 t (*.f64 1/16 z) c)
(+.f64 c (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (*.f64 t z) c)
(fma.f64 t (*.f64 1/16 z) c)
(+.f64 c (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (*.f64 t z) c)
(fma.f64 t (*.f64 1/16 z) c)
c
(+.f64 c (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (*.f64 t z) c)
(fma.f64 t (*.f64 1/16 z) c)
(+.f64 c (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (*.f64 t z) c)
(fma.f64 t (*.f64 1/16 z) c)
(+.f64 c (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (*.f64 t z) c)
(fma.f64 t (*.f64 1/16 z) c)
(.f64 1/16 (.f64 t z))
(+.f64 c (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (*.f64 t z) c)
(fma.f64 t (*.f64 1/16 z) c)
(+.f64 c (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (*.f64 t z) c)
(fma.f64 t (*.f64 1/16 z) c)
(+.f64 c (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (*.f64 t z) c)
(fma.f64 t (*.f64 1/16 z) c)
(.f64 1/16 (.f64 t z))
(+.f64 c (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (*.f64 t z) c)
(fma.f64 t (*.f64 1/16 z) c)
(+.f64 c (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (*.f64 t z) c)
(fma.f64 t (*.f64 1/16 z) c)
(+.f64 c (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (*.f64 t z) c)
(fma.f64 t (*.f64 1/16 z) c)
(.f64 1/16 (.f64 t z))
(+.f64 c (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (*.f64 t z) c)
(fma.f64 t (*.f64 1/16 z) c)
(+.f64 c (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (*.f64 t z) c)
(fma.f64 t (*.f64 1/16 z) c)
(+.f64 c (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (*.f64 t z) c)
(fma.f64 t (*.f64 1/16 z) c)
c
(+.f64 c (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (*.f64 t z) c)
(fma.f64 t (*.f64 1/16 z) c)
(+.f64 c (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (*.f64 t z) c)
(fma.f64 t (*.f64 1/16 z) c)
(+.f64 c (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (*.f64 t z) c)
(fma.f64 t (*.f64 1/16 z) c)
c
(+.f64 c (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (*.f64 t z) c)
(fma.f64 t (*.f64 1/16 z) c)
(+.f64 c (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (*.f64 t z) c)
(fma.f64 t (*.f64 1/16 z) c)
(+.f64 c (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (*.f64 t z) c)
(fma.f64 t (*.f64 1/16 z) c)

localize16.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
✓	0.0b	(+.f64 (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))) c)

Compiler

Compiled 44 to 19 computations (56.8% saved)

series8.0ms (0%)

Counts

2 → 72

Calls

27 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(+.f64 (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))) c)
0.0ms	t	@	-inf	(+.f64 (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))) c)
0.0ms	y	@	inf	(+.f64 (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))) c)
0.0ms	z	@	-inf	(+.f64 (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))) c)
0.0ms	c	@	-inf	(+.f64 (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))) c)

rewrite85.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

706×	`fma-def_binary64`
667×	`log-prod_binary64`
354×	`pow2_binary64`
325×	`fma-neg_binary64`
244×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	263	23
2	3672	23

Stop Event

1×	node limit

Counts

2 → 181

Calls

Call 1

Inputs
(+.f64 (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))) c)
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))

Outputs

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3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 t (*.f64 z 1/16) (fma.f64 y x c))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 c (-.f64 c (fma.f64 y x (*.f64 t (*.f64 z 1/16)))) (pow.f64 (fma.f64 y x (*.f64 t (*.f64 z 1/16))) 2)) (+.f64 (pow.f64 (fma.f64 y x (*.f64 t (*.f64 z 1/16))) 3) (pow.f64 c 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 y x (*.f64 t (*.f64 z 1/16))) c) (-.f64 (pow.f64 (fma.f64 y x (*.f64 t (*.f64 z 1/16))) 2) (*.f64 c c))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 t (*.f64 z 1/16) (fma.f64 y x c)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 t (*.f64 z 1/16) (fma.f64 y x c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 t (*.f64 z 1/16) (fma.f64 y x c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y x))) (exp.f64 (fma.f64 1/16 (*.f64 t z) 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c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 t (*.f64 z 1/16) (fma.f64 y x c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 t (*.f64 z 1/16) (fma.f64 y x c))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (fma.f64 1/16 (*.f64 t z) c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (*.f64 (fma.f64 1/16 (*.f64 t z) c) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (fma.f64 1/16 (*.f64 t z) c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (*.f64 (fma.f64 1/16 (*.f64 t z) c) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y x) 1 (fma.f64 1/16 (*.f64 t z) c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y x) 1 (*.f64 (fma.f64 1/16 (*.f64 t z) c) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/16 (*.f64 t z) (fma.f64 y x c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 t (*.f64 z 1/16) (fma.f64 y x c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (*.f64 1/16 t) (fma.f64 y x c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 t z) 1/16 (fma.f64 y x c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 t (*.f64 z 1/16)) 1 (fma.f64 y x c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 y x (*.f64 t (*.f64 z 1/16))) 1 c)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 c 1 (fma.f64 y x (*.f64 t (*.f64 z 1/16))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y x) (fma.f64 1/16 (*.f64 t z) c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y x) (*.f64 (fma.f64 1/16 (*.f64 t z) c) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 t (*.f64 z 1/16)) (fma.f64 y x c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 y x (*.f64 t (*.f64 z 1/16))) c)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 c (fma.f64 y x (*.f64 t (*.f64 z 1/16))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1/16 (*.f64 t z) c) (*.f64 y x))))) 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simplify27.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

24×	`fma-def_binary64`
6×	`*-commutative_binary64`
4×	`+-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	787
1	25	779
2	44	689
3	63	689

Stop Event

1×

saturated

Counts

253 → 190

Calls

Call 1

Inputs
(+.f64 c (.f64 1/16 (.f64 t z)))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(*.f64 y x)
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(*.f64 y x)
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (.f64 1/16 (.f64 t z)))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(*.f64 y x)
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(*.f64 y x)
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (*.f64 y x))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(.f64 1/16 (.f64 t z))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(.f64 1/16 (.f64 t z))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (*.f64 y x))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(.f64 1/16 (.f64 t z))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(.f64 1/16 (.f64 t z))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
c
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
c
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(.f64 1/16 (.f64 t z))
(*.f64 y x)
(*.f64 y x)
(.f64 1/16 (.f64 t z))
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(.f64 1/16 (.f64 t z))
(.f64 1/16 (.f64 t z))
(*.f64 y x)
(.f64 1/16 (.f64 t z))
(.f64 1/16 (.f64 t z))

Outputs
(+.f64 c (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (*.f64 t z) c)
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (fma.f64 y x (.f64 1/16 (.f64 t z))))
(+.f64 (fma.f64 1/16 (.f64 t z) c) (.f64 y x))
(fma.f64 1/16 (*.f64 t z) (fma.f64 y x c))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (fma.f64 y x (.f64 1/16 (.f64 t z))))
(+.f64 (fma.f64 1/16 (.f64 t z) c) (.f64 y x))
(fma.f64 1/16 (*.f64 t z) (fma.f64 y x c))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (fma.f64 y x (.f64 1/16 (.f64 t z))))
(+.f64 (fma.f64 1/16 (.f64 t z) c) (.f64 y x))
(fma.f64 1/16 (*.f64 t z) (fma.f64 y x c))
(*.f64 y x)
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (fma.f64 y x (.f64 1/16 (.f64 t z))))
(+.f64 (fma.f64 1/16 (.f64 t z) c) (.f64 y x))
(fma.f64 1/16 (*.f64 t z) (fma.f64 y x c))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (fma.f64 y x (.f64 1/16 (.f64 t z))))
(+.f64 (fma.f64 1/16 (.f64 t z) c) (.f64 y x))
(fma.f64 1/16 (*.f64 t z) (fma.f64 y x c))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (fma.f64 y x (.f64 1/16 (.f64 t z))))
(+.f64 (fma.f64 1/16 (.f64 t z) c) (.f64 y x))
(fma.f64 1/16 (*.f64 t z) (fma.f64 y x c))
(*.f64 y x)
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (fma.f64 y x (.f64 1/16 (.f64 t z))))
(+.f64 (fma.f64 1/16 (.f64 t z) c) (.f64 y x))
(fma.f64 1/16 (*.f64 t z) (fma.f64 y x c))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (fma.f64 y x (.f64 1/16 (.f64 t z))))
(+.f64 (fma.f64 1/16 (.f64 t z) c) (.f64 y x))
(fma.f64 1/16 (*.f64 t z) (fma.f64 y x c))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (fma.f64 y x (.f64 1/16 (.f64 t z))))
(+.f64 (fma.f64 1/16 (.f64 t z) c) (.f64 y x))
(fma.f64 1/16 (*.f64 t z) (fma.f64 y x c))
(+.f64 c (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (*.f64 t z) c)
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (fma.f64 y x (.f64 1/16 (.f64 t z))))
(+.f64 (fma.f64 1/16 (.f64 t z) c) (.f64 y x))
(fma.f64 1/16 (*.f64 t z) (fma.f64 y x c))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (fma.f64 y x (.f64 1/16 (.f64 t z))))
(+.f64 (fma.f64 1/16 (.f64 t z) c) (.f64 y x))
(fma.f64 1/16 (*.f64 t z) (fma.f64 y x c))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (fma.f64 y x (.f64 1/16 (.f64 t z))))
(+.f64 (fma.f64 1/16 (.f64 t z) c) (.f64 y x))
(fma.f64 1/16 (*.f64 t z) (fma.f64 y x c))
(*.f64 y x)
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (fma.f64 y x (.f64 1/16 (.f64 t z))))
(+.f64 (fma.f64 1/16 (.f64 t z) c) (.f64 y x))
(fma.f64 1/16 (*.f64 t z) (fma.f64 y x c))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (fma.f64 y x (.f64 1/16 (.f64 t z))))
(+.f64 (fma.f64 1/16 (.f64 t z) c) (.f64 y x))
(fma.f64 1/16 (*.f64 t z) (fma.f64 y x c))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (fma.f64 y x (.f64 1/16 (.f64 t z))))
(+.f64 (fma.f64 1/16 (.f64 t z) c) (.f64 y x))
(fma.f64 1/16 (*.f64 t z) (fma.f64 y x c))
(*.f64 y x)
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (fma.f64 y x (.f64 1/16 (.f64 t z))))
(+.f64 (fma.f64 1/16 (.f64 t z) c) (.f64 y x))
(fma.f64 1/16 (*.f64 t z) (fma.f64 y x c))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (fma.f64 y x (.f64 1/16 (.f64 t z))))
(+.f64 (fma.f64 1/16 (.f64 t z) c) (.f64 y x))
(fma.f64 1/16 (*.f64 t z) (fma.f64 y x c))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (fma.f64 y x (.f64 1/16 (.f64 t z))))
(+.f64 (fma.f64 1/16 (.f64 t z) c) (.f64 y x))
(fma.f64 1/16 (*.f64 t z) (fma.f64 y x c))
(+.f64 c (*.f64 y x))
(fma.f64 y x c)
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (fma.f64 y x (.f64 1/16 (.f64 t z))))
(+.f64 (fma.f64 1/16 (.f64 t z) c) (.f64 y x))
(fma.f64 1/16 (*.f64 t z) (fma.f64 y x c))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (fma.f64 y x (.f64 1/16 (.f64 t z))))
(+.f64 (fma.f64 1/16 (.f64 t z) c) (.f64 y x))
(fma.f64 1/16 (*.f64 t z) (fma.f64 y x c))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (fma.f64 y x (.f64 1/16 (.f64 t z))))
(+.f64 (fma.f64 1/16 (.f64 t z) c) (.f64 y x))
(fma.f64 1/16 (*.f64 t z) (fma.f64 y x c))
(.f64 1/16 (.f64 t z))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (fma.f64 y x (.f64 1/16 (.f64 t z))))
(+.f64 (fma.f64 1/16 (.f64 t z) c) (.f64 y x))
(fma.f64 1/16 (*.f64 t z) (fma.f64 y x c))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (fma.f64 y x (.f64 1/16 (.f64 t z))))
(+.f64 (fma.f64 1/16 (.f64 t z) c) (.f64 y x))
(fma.f64 1/16 (*.f64 t z) (fma.f64 y x c))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (fma.f64 y x (.f64 1/16 (.f64 t z))))
(+.f64 (fma.f64 1/16 (.f64 t z) c) (.f64 y x))
(fma.f64 1/16 (*.f64 t z) (fma.f64 y x c))
(.f64 1/16 (.f64 t z))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (fma.f64 y x (.f64 1/16 (.f64 t z))))
(+.f64 (fma.f64 1/16 (.f64 t z) c) (.f64 y x))
(fma.f64 1/16 (*.f64 t z) (fma.f64 y x c))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (fma.f64 y x (.f64 1/16 (.f64 t z))))
(+.f64 (fma.f64 1/16 (.f64 t z) c) (.f64 y x))
(fma.f64 1/16 (*.f64 t z) (fma.f64 y x c))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (fma.f64 y x (.f64 1/16 (.f64 t z))))
(+.f64 (fma.f64 1/16 (.f64 t z) c) (.f64 y x))
(fma.f64 1/16 (*.f64 t z) (fma.f64 y x c))
(+.f64 c (*.f64 y x))
(fma.f64 y x c)
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (fma.f64 y x (.f64 1/16 (.f64 t z))))
(+.f64 (fma.f64 1/16 (.f64 t z) c) (.f64 y x))
(fma.f64 1/16 (*.f64 t z) (fma.f64 y x c))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (fma.f64 y x (.f64 1/16 (.f64 t z))))
(+.f64 (fma.f64 1/16 (.f64 t z) c) (.f64 y x))
(fma.f64 1/16 (*.f64 t z) (fma.f64 y x c))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (fma.f64 y x (.f64 1/16 (.f64 t z))))
(+.f64 (fma.f64 1/16 (.f64 t z) c) (.f64 y x))
(fma.f64 1/16 (*.f64 t z) (fma.f64 y x c))
(.f64 1/16 (.f64 t z))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (fma.f64 y x (.f64 1/16 (.f64 t z))))
(+.f64 (fma.f64 1/16 (.f64 t z) c) (.f64 y x))
(fma.f64 1/16 (*.f64 t z) (fma.f64 y x c))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (fma.f64 y x (.f64 1/16 (.f64 t z))))
(+.f64 (fma.f64 1/16 (.f64 t z) c) (.f64 y x))
(fma.f64 1/16 (*.f64 t z) (fma.f64 y x c))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (fma.f64 y x (.f64 1/16 (.f64 t z))))
(+.f64 (fma.f64 1/16 (.f64 t z) c) (.f64 y x))
(fma.f64 1/16 (*.f64 t z) (fma.f64 y x c))
(.f64 1/16 (.f64 t z))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (fma.f64 y x (.f64 1/16 (.f64 t z))))
(+.f64 (fma.f64 1/16 (.f64 t z) c) (.f64 y x))
(fma.f64 1/16 (*.f64 t z) (fma.f64 y x c))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (fma.f64 y x (.f64 1/16 (.f64 t z))))
(+.f64 (fma.f64 1/16 (.f64 t z) c) (.f64 y x))
(fma.f64 1/16 (*.f64 t z) (fma.f64 y x c))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (fma.f64 y x (.f64 1/16 (.f64 t z))))
(+.f64 (fma.f64 1/16 (.f64 t z) c) (.f64 y x))
(fma.f64 1/16 (*.f64 t z) (fma.f64 y x c))
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(fma.f64 y x (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (.f64 t z) (.f64 y x))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (fma.f64 y x (.f64 1/16 (.f64 t z))))
(+.f64 (fma.f64 1/16 (.f64 t z) c) (.f64 y x))
(fma.f64 1/16 (*.f64 t z) (fma.f64 y x c))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (fma.f64 y x (.f64 1/16 (.f64 t z))))
(+.f64 (fma.f64 1/16 (.f64 t z) c) (.f64 y x))
(fma.f64 1/16 (*.f64 t z) (fma.f64 y x c))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (fma.f64 y x (.f64 1/16 (.f64 t z))))
(+.f64 (fma.f64 1/16 (.f64 t z) c) (.f64 y x))
(fma.f64 1/16 (*.f64 t z) (fma.f64 y x c))
c
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (fma.f64 y x (.f64 1/16 (.f64 t z))))
(+.f64 (fma.f64 1/16 (.f64 t z) c) (.f64 y x))
(fma.f64 1/16 (*.f64 t z) (fma.f64 y x c))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (fma.f64 y x (.f64 1/16 (.f64 t z))))
(+.f64 (fma.f64 1/16 (.f64 t z) c) (.f64 y x))
(fma.f64 1/16 (*.f64 t z) (fma.f64 y x c))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (fma.f64 y x (.f64 1/16 (.f64 t z))))
(+.f64 (fma.f64 1/16 (.f64 t z) c) (.f64 y x))
(fma.f64 1/16 (*.f64 t z) (fma.f64 y x c))
c
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (fma.f64 y x (.f64 1/16 (.f64 t z))))
(+.f64 (fma.f64 1/16 (.f64 t z) c) (.f64 y x))
(fma.f64 1/16 (*.f64 t z) (fma.f64 y x c))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (fma.f64 y x (.f64 1/16 (.f64 t z))))
(+.f64 (fma.f64 1/16 (.f64 t z) c) (.f64 y x))
(fma.f64 1/16 (*.f64 t z) (fma.f64 y x c))
(+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))))
(+.f64 c (fma.f64 y x (.f64 1/16 (.f64 t z))))
(+.f64 (fma.f64 1/16 (.f64 t z) c) (.f64 y x))
(fma.f64 1/16 (*.f64 t z) (fma.f64 y x c))
(.f64 1/16 (.f64 t z))
(*.f64 y x)
(*.f64 y x)
(.f64 1/16 (.f64 t z))
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(.f64 1/16 (.f64 t z))
(.f64 1/16 (.f64 t z))
(*.f64 y x)
(.f64 1/16 (.f64 t z))
(.f64 1/16 (.f64 t z))

localize9.0ms (0%)

Compiler: Compiled 20 to 13 computations (35% saved)

eval215.0ms (1%)

Compiler: Compiled 8614 to 4284 computations (50.3% saved)

prune180.0ms (0.8%)

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	450	5	455
Fresh	2	3	5
Picked	0	1	1
Done	2	4	6
Total	454	13	467

Error

Counts

467 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	29.9b	(fma.f64 (*.f64 b -1/4) a c)
✓	29.3b	(+.f64 (.f64 1/16 (.f64 t z)) c)
▶	33.8b	(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
	45.0b	c
▶	34.5b	(-.f64 (.f64 y x) (.f64 1/4 (*.f64 a b)))
✓	49.7b	(*.f64 y x)
✓	29.9b	(+.f64 (.f64 a (.f64 b -1/4)) c)
▶	13.6b	(fma.f64 (.f64 -1/4 b) a (fma.f64 1/16 (.f64 t z) c))
	31.3b	(-.f64 (.f64 1/16 (.f64 t z)) (.f64 1/4 (.f64 a b)))
✓	31.9b	(+.f64 (*.f64 y x) c)
	31.9b	(fma.f64 y x c)
▶	46.7b	(.f64 (.f64 1/16 t) z)
▶	47.4b	(.f64 a (.f64 b -1/4))

Compiler

Compiled 277 to 214 computations (22.7% saved)

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 (.f64 -1/4 b) a (fma.f64 1/16 (.f64 t z) c))
	0.0b	(fma.f64 1/16 (*.f64 t z) c)

Compiler

Compiled 37 to 19 computations (48.6% saved)

series16.0ms (0.1%)

Counts

1 → 60

Calls

15 calls:

Time	Variable		Point	Expression
7.0ms	b	@	0	(fma.f64 (.f64 -1/4 b) a (fma.f64 1/16 (.f64 t z) c))
4.0ms	b	@	inf	(fma.f64 (.f64 -1/4 b) a (fma.f64 1/16 (.f64 t z) c))
0.0ms	a	@	-inf	(fma.f64 (.f64 -1/4 b) a (fma.f64 1/16 (.f64 t z) c))
0.0ms	a	@	0	(fma.f64 (.f64 -1/4 b) a (fma.f64 1/16 (.f64 t z) c))
0.0ms	b	@	-inf	(fma.f64 (.f64 -1/4 b) a (fma.f64 1/16 (.f64 t z) c))

rewrite85.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

532×	`log-prod_binary64`
423×	`exp-prod_binary64`
356×	`prod-exp_binary64`
321×	`pow-prod-down_binary64`
303×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	15
1	239	15
2	2701	15

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

Inputs
(fma.f64 (.f64 -1/4 b) a (fma.f64 1/16 (.f64 t z) c))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/16 (*.f64 t z) c) (*.f64 -1/4 (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/4 (*.f64 b a)) (fma.f64 1/16 (*.f64 t z) c))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 -1/4 (*.f64 b a) (fma.f64 1/16 (*.f64 t z) c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/4 (*.f64 b a)) 1) (fma.f64 1/16 (*.f64 t z) c))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/4 (*.f64 b a) (*.f64 1/16 (*.f64 t z))) c)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/4 (*.f64 b a) (fma.f64 1/16 (*.f64 t z) c)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/4 (*.f64 b a) (fma.f64 1/16 (*.f64 t z) c))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/4 (*.f64 b a) (fma.f64 1/16 (*.f64 t z) c))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/4 (*.f64 b a) (fma.f64 1/16 (*.f64 t z) c))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/4 (*.f64 b a) (fma.f64 1/16 (*.f64 t z) c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/4 (*.f64 b a) (fma.f64 1/16 (*.f64 t z) c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/4 (*.f64 b a) (fma.f64 1/16 (*.f64 t z) c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/4 (*.f64 b a) (fma.f64 1/16 (*.f64 t z) c))) (pow.f64 (cbrt.f64 (fma.f64 -1/4 (*.f64 b a) (fma.f64 1/16 (*.f64 t z) c))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (*.f64 b a) (fma.f64 1/16 (*.f64 t z) c))) 2) (cbrt.f64 (fma.f64 -1/4 (*.f64 b a) (fma.f64 1/16 (*.f64 t z) c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/4 (*.f64 b a) (fma.f64 1/16 (*.f64 t z) c))) (sqrt.f64 (fma.f64 -1/4 (*.f64 b a) (fma.f64 1/16 (*.f64 t z) c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -1/4 (*.f64 b a)) 3) (pow.f64 (fma.f64 1/16 (*.f64 t z) c) 3)) (+.f64 (pow.f64 (*.f64 -1/4 (*.f64 b a)) 2) (-.f64 (pow.f64 (fma.f64 1/16 (*.f64 t z) c) 2) (*.f64 (*.f64 -1/4 (*.f64 b a)) (fma.f64 1/16 (*.f64 t z) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 -1/4 (*.f64 b a)) 2) (pow.f64 (fma.f64 1/16 (*.f64 t z) c) 2)) (-.f64 (*.f64 -1/4 (*.f64 b a)) (fma.f64 1/16 (*.f64 t z) c)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/4 (*.f64 b a) (fma.f64 1/16 (*.f64 t z) c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/4 (*.f64 b a) (fma.f64 1/16 (*.f64 t z) c)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/4 (*.f64 b a) (fma.f64 1/16 (*.f64 t z) c)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/4 (*.f64 b a) (fma.f64 1/16 (*.f64 t z) c))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/4 (*.f64 b a) (fma.f64 1/16 (*.f64 t z) c))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 -1/4 (*.f64 b a) (fma.f64 1/16 (*.f64 t z) c))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/4 (*.f64 b a) (fma.f64 1/16 (*.f64 t z) c)))) 2)) (cbrt.f64 (log.f64 (fma.f64 -1/4 (*.f64 b a) (fma.f64 1/16 (*.f64 t z) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 -1/4 (*.f64 b a) (fma.f64 1/16 (*.f64 t z) c))))) (sqrt.f64 (log.f64 (fma.f64 -1/4 (*.f64 b a) (fma.f64 1/16 (*.f64 t z) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/4 (*.f64 b a) (fma.f64 1/16 (*.f64 t z) c)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/4 (*.f64 b a) (fma.f64 1/16 (*.f64 t z) c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/4 (*.f64 b a) (fma.f64 1/16 (*.f64 t z) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 1/16 (*.f64 t z) c))) (pow.f64 (exp.f64 a) (*.f64 -1/4 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 a) (*.f64 -1/4 b)) (+.f64 1 (expm1.f64 (fma.f64 1/16 (*.f64 t z) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/4 (*.f64 b a) (fma.f64 1/16 (*.f64 t z) c)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/4 (*.f64 b a) (fma.f64 1/16 (*.f64 t z) c))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/4 (*.f64 b a) (fma.f64 1/16 (*.f64 t z) c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/4 (*.f64 b a) (fma.f64 1/16 (*.f64 t z) c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -1/4 (*.f64 b a) (fma.f64 1/16 (*.f64 t z) c))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 -1/4 (*.f64 b a) (fma.f64 1/16 (*.f64 t z) c)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -1/4 (*.f64 b a) (fma.f64 1/16 (*.f64 t z) c)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -1/4 (*.f64 b a) (fma.f64 1/16 (*.f64 t z) c)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 -1/4 (*.f64 b a) (fma.f64 1/16 (*.f64 t z) c))) 1) 1))))))

simplify26.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

36×	`fma-def_binary64`
10×	`*-commutative_binary64`
6×	`associate-r_binary64`
6×	`associate-l_binary64`
4×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	877
1	30	869
2	58	779
3	92	779

Stop Event

1×

saturated

Counts

97 → 48

Calls

Call 1

Inputs
(+.f64 c (.f64 1/16 (.f64 t z)))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(.f64 -1/4 (.f64 a b))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(.f64 -1/4 (.f64 a b))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (.f64 1/16 (.f64 t z)))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(.f64 -1/4 (.f64 a b))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(.f64 -1/4 (.f64 a b))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (.f64 -1/4 (.f64 a b)))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(.f64 1/16 (.f64 t z))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(.f64 1/16 (.f64 t z))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (.f64 -1/4 (.f64 a b)))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(.f64 1/16 (.f64 t z))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(.f64 1/16 (.f64 t z))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b)))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
c
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
c
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))

Outputs
(+.f64 c (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (*.f64 t z) c)
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 1/16 (.f64 t z)) (fma.f64 -1/4 (*.f64 a b) c))
(fma.f64 1/16 (.f64 t z) (fma.f64 -1/4 (.f64 a b) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 1/16 (.f64 t z)) (fma.f64 -1/4 (*.f64 a b) c))
(fma.f64 1/16 (.f64 t z) (fma.f64 -1/4 (.f64 a b) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 1/16 (.f64 t z)) (fma.f64 -1/4 (*.f64 a b) c))
(fma.f64 1/16 (.f64 t z) (fma.f64 -1/4 (.f64 a b) c))
(.f64 -1/4 (.f64 a b))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 1/16 (.f64 t z)) (fma.f64 -1/4 (*.f64 a b) c))
(fma.f64 1/16 (.f64 t z) (fma.f64 -1/4 (.f64 a b) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 1/16 (.f64 t z)) (fma.f64 -1/4 (*.f64 a b) c))
(fma.f64 1/16 (.f64 t z) (fma.f64 -1/4 (.f64 a b) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 1/16 (.f64 t z)) (fma.f64 -1/4 (*.f64 a b) c))
(fma.f64 1/16 (.f64 t z) (fma.f64 -1/4 (.f64 a b) c))
(.f64 -1/4 (.f64 a b))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 1/16 (.f64 t z)) (fma.f64 -1/4 (*.f64 a b) c))
(fma.f64 1/16 (.f64 t z) (fma.f64 -1/4 (.f64 a b) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 1/16 (.f64 t z)) (fma.f64 -1/4 (*.f64 a b) c))
(fma.f64 1/16 (.f64 t z) (fma.f64 -1/4 (.f64 a b) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 1/16 (.f64 t z)) (fma.f64 -1/4 (*.f64 a b) c))
(fma.f64 1/16 (.f64 t z) (fma.f64 -1/4 (.f64 a b) c))
(+.f64 c (.f64 1/16 (.f64 t z)))
(fma.f64 1/16 (*.f64 t z) c)
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 1/16 (.f64 t z)) (fma.f64 -1/4 (*.f64 a b) c))
(fma.f64 1/16 (.f64 t z) (fma.f64 -1/4 (.f64 a b) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 1/16 (.f64 t z)) (fma.f64 -1/4 (*.f64 a b) c))
(fma.f64 1/16 (.f64 t z) (fma.f64 -1/4 (.f64 a b) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 1/16 (.f64 t z)) (fma.f64 -1/4 (*.f64 a b) c))
(fma.f64 1/16 (.f64 t z) (fma.f64 -1/4 (.f64 a b) c))
(.f64 -1/4 (.f64 a b))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 1/16 (.f64 t z)) (fma.f64 -1/4 (*.f64 a b) c))
(fma.f64 1/16 (.f64 t z) (fma.f64 -1/4 (.f64 a b) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 1/16 (.f64 t z)) (fma.f64 -1/4 (*.f64 a b) c))
(fma.f64 1/16 (.f64 t z) (fma.f64 -1/4 (.f64 a b) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 1/16 (.f64 t z)) (fma.f64 -1/4 (*.f64 a b) c))
(fma.f64 1/16 (.f64 t z) (fma.f64 -1/4 (.f64 a b) c))
(.f64 -1/4 (.f64 a b))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 1/16 (.f64 t z)) (fma.f64 -1/4 (*.f64 a b) c))
(fma.f64 1/16 (.f64 t z) (fma.f64 -1/4 (.f64 a b) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 1/16 (.f64 t z)) (fma.f64 -1/4 (*.f64 a b) c))
(fma.f64 1/16 (.f64 t z) (fma.f64 -1/4 (.f64 a b) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 1/16 (.f64 t z)) (fma.f64 -1/4 (*.f64 a b) c))
(fma.f64 1/16 (.f64 t z) (fma.f64 -1/4 (.f64 a b) c))
(+.f64 c (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (*.f64 a b) c)
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 1/16 (.f64 t z)) (fma.f64 -1/4 (*.f64 a b) c))
(fma.f64 1/16 (.f64 t z) (fma.f64 -1/4 (.f64 a b) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 1/16 (.f64 t z)) (fma.f64 -1/4 (*.f64 a b) c))
(fma.f64 1/16 (.f64 t z) (fma.f64 -1/4 (.f64 a b) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 1/16 (.f64 t z)) (fma.f64 -1/4 (*.f64 a b) c))
(fma.f64 1/16 (.f64 t z) (fma.f64 -1/4 (.f64 a b) c))
(.f64 1/16 (.f64 t z))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 1/16 (.f64 t z)) (fma.f64 -1/4 (*.f64 a b) c))
(fma.f64 1/16 (.f64 t z) (fma.f64 -1/4 (.f64 a b) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 1/16 (.f64 t z)) (fma.f64 -1/4 (*.f64 a b) c))
(fma.f64 1/16 (.f64 t z) (fma.f64 -1/4 (.f64 a b) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 1/16 (.f64 t z)) (fma.f64 -1/4 (*.f64 a b) c))
(fma.f64 1/16 (.f64 t z) (fma.f64 -1/4 (.f64 a b) c))
(.f64 1/16 (.f64 t z))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 1/16 (.f64 t z)) (fma.f64 -1/4 (*.f64 a b) c))
(fma.f64 1/16 (.f64 t z) (fma.f64 -1/4 (.f64 a b) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 1/16 (.f64 t z)) (fma.f64 -1/4 (*.f64 a b) c))
(fma.f64 1/16 (.f64 t z) (fma.f64 -1/4 (.f64 a b) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 1/16 (.f64 t z)) (fma.f64 -1/4 (*.f64 a b) c))
(fma.f64 1/16 (.f64 t z) (fma.f64 -1/4 (.f64 a b) c))
(+.f64 c (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (*.f64 a b) c)
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 1/16 (.f64 t z)) (fma.f64 -1/4 (*.f64 a b) c))
(fma.f64 1/16 (.f64 t z) (fma.f64 -1/4 (.f64 a b) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 1/16 (.f64 t z)) (fma.f64 -1/4 (*.f64 a b) c))
(fma.f64 1/16 (.f64 t z) (fma.f64 -1/4 (.f64 a b) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 1/16 (.f64 t z)) (fma.f64 -1/4 (*.f64 a b) c))
(fma.f64 1/16 (.f64 t z) (fma.f64 -1/4 (.f64 a b) c))
(.f64 1/16 (.f64 t z))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 1/16 (.f64 t z)) (fma.f64 -1/4 (*.f64 a b) c))
(fma.f64 1/16 (.f64 t z) (fma.f64 -1/4 (.f64 a b) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 1/16 (.f64 t z)) (fma.f64 -1/4 (*.f64 a b) c))
(fma.f64 1/16 (.f64 t z) (fma.f64 -1/4 (.f64 a b) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 1/16 (.f64 t z)) (fma.f64 -1/4 (*.f64 a b) c))
(fma.f64 1/16 (.f64 t z) (fma.f64 -1/4 (.f64 a b) c))
(.f64 1/16 (.f64 t z))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 1/16 (.f64 t z)) (fma.f64 -1/4 (*.f64 a b) c))
(fma.f64 1/16 (.f64 t z) (fma.f64 -1/4 (.f64 a b) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 1/16 (.f64 t z)) (fma.f64 -1/4 (*.f64 a b) c))
(fma.f64 1/16 (.f64 t z) (fma.f64 -1/4 (.f64 a b) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 1/16 (.f64 t z)) (fma.f64 -1/4 (*.f64 a b) c))
(fma.f64 1/16 (.f64 t z) (fma.f64 -1/4 (.f64 a b) c))
(+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b)))
(fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b)))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 1/16 (.f64 t z)) (fma.f64 -1/4 (*.f64 a b) c))
(fma.f64 1/16 (.f64 t z) (fma.f64 -1/4 (.f64 a b) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 1/16 (.f64 t z)) (fma.f64 -1/4 (*.f64 a b) c))
(fma.f64 1/16 (.f64 t z) (fma.f64 -1/4 (.f64 a b) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 1/16 (.f64 t z)) (fma.f64 -1/4 (*.f64 a b) c))
(fma.f64 1/16 (.f64 t z) (fma.f64 -1/4 (.f64 a b) c))
c
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 1/16 (.f64 t z)) (fma.f64 -1/4 (*.f64 a b) c))
(fma.f64 1/16 (.f64 t z) (fma.f64 -1/4 (.f64 a b) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 1/16 (.f64 t z)) (fma.f64 -1/4 (*.f64 a b) c))
(fma.f64 1/16 (.f64 t z) (fma.f64 -1/4 (.f64 a b) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 1/16 (.f64 t z)) (fma.f64 -1/4 (*.f64 a b) c))
(fma.f64 1/16 (.f64 t z) (fma.f64 -1/4 (.f64 a b) c))
c
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 1/16 (.f64 t z)) (fma.f64 -1/4 (*.f64 a b) c))
(fma.f64 1/16 (.f64 t z) (fma.f64 -1/4 (.f64 a b) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 1/16 (.f64 t z)) (fma.f64 -1/4 (*.f64 a b) c))
(fma.f64 1/16 (.f64 t z) (fma.f64 -1/4 (.f64 a b) c))
(+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))))
(+.f64 c (fma.f64 1/16 (.f64 t z) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 1/16 (.f64 t z)) (fma.f64 -1/4 (*.f64 a b) c))
(fma.f64 1/16 (.f64 t z) (fma.f64 -1/4 (.f64 a b) c))

localize8.0ms (0%)

Compiler: Compiled 18 to 13 computations (27.8% saved)

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 1/16 t) z)

Compiler

Compiled 18 to 13 computations (27.8% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	t	@	0	(.f64 (.f64 1/16 t) z)
1.0ms	z	@	0	(.f64 (.f64 1/16 t) z)
1.0ms	t	@	inf	(.f64 (.f64 1/16 t) z)
0.0ms	z	@	inf	(.f64 (.f64 1/16 t) z)
0.0ms	t	@	-inf	(.f64 (.f64 1/16 t) z)

rewrite65.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

553×	`pow1_binary64`
512×	`add-log-exp_binary64`
512×	`log1p-expm1-u_binary64`
512×	`expm1-log1p-u_binary64`
501×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	122	7
2	1400	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 (.f64 1/16 t) z)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/16 (*.f64 t z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/16 (*.f64 t z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/16 (*.f64 t z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/16 (*.f64 t z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/4 (sqrt.f64 (*.f64 t z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/16 (*.f64 t z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/16) (*.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/16 (*.f64 t z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/16 (*.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/16 (*.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/16 (*.f64 t z))))))))

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	10	168
2	17	168
3	19	168

Stop Event

1×

saturated

Counts

35 → 12

Calls

Call 1

Inputs
(.f64 1/16 (.f64 t z))
(.f64 1/16 (.f64 t z))
(.f64 1/16 (.f64 t z))
(.f64 1/16 (.f64 t z))
(.f64 1/16 (.f64 t z))
(.f64 1/16 (.f64 t z))
(.f64 1/16 (.f64 t z))
(.f64 1/16 (.f64 t z))
(.f64 1/16 (.f64 t z))
(.f64 1/16 (.f64 t z))
(.f64 1/16 (.f64 t z))
(.f64 1/16 (.f64 t z))
(.f64 1/16 (.f64 t z))
(.f64 1/16 (.f64 t z))
(.f64 1/16 (.f64 t z))
(.f64 1/16 (.f64 t z))
(.f64 1/16 (.f64 t z))
(.f64 1/16 (.f64 t z))
(.f64 1/16 (.f64 t z))
(.f64 1/16 (.f64 t z))
(.f64 1/16 (.f64 t z))
(.f64 1/16 (.f64 t z))
(.f64 1/16 (.f64 t z))
(.f64 1/16 (.f64 t z))

Outputs
(.f64 1/16 (.f64 t z))
(.f64 1/16 (.f64 t z))
(.f64 1/16 (.f64 t z))
(.f64 1/16 (.f64 t z))
(.f64 1/16 (.f64 t z))
(.f64 1/16 (.f64 t z))
(.f64 1/16 (.f64 t z))
(.f64 1/16 (.f64 t z))
(.f64 1/16 (.f64 t z))
(.f64 1/16 (.f64 t z))
(.f64 1/16 (.f64 t z))
(.f64 1/16 (.f64 t z))
(.f64 1/16 (.f64 t z))
(.f64 1/16 (.f64 t z))
(.f64 1/16 (.f64 t z))
(.f64 1/16 (.f64 t z))
(.f64 1/16 (.f64 t z))
(.f64 1/16 (.f64 t z))
(.f64 1/16 (.f64 t z))
(.f64 1/16 (.f64 t z))
(.f64 1/16 (.f64 t z))
(.f64 1/16 (.f64 t z))
(.f64 1/16 (.f64 t z))
(.f64 1/16 (.f64 t z))

localize19.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))

Compiler

Compiled 32 to 15 computations (53.1% saved)

localize22.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(.f64 1/4 (.f64 a b))
✓	0.0b	(-.f64 (.f64 y x) (.f64 1/4 (*.f64 a b)))

Compiler

Compiled 32 to 15 computations (53.1% saved)

series21.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
14.0ms	y	@	-inf	(-.f64 (.f64 y x) (.f64 1/4 (*.f64 a b)))
1.0ms	y	@	0	(-.f64 (.f64 y x) (.f64 1/4 (*.f64 a b)))
1.0ms	y	@	inf	(-.f64 (.f64 y x) (.f64 1/4 (*.f64 a b)))
1.0ms	x	@	0	(-.f64 (.f64 y x) (.f64 1/4 (*.f64 a b)))
1.0ms	x	@	inf	(-.f64 (.f64 y x) (.f64 1/4 (*.f64 a b)))

rewrite178.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

573×	`log-prod_binary64`
416×	`fma-def_binary64`
360×	`pow-prod-down_binary64`
288×	`pow2_binary64`
200×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	224	11
2	2934	11

Stop Event

1×	node limit

Counts

1 → 188

Calls

Call 1

Inputs
(-.f64 (.f64 y x) (.f64 1/4 (*.f64 a b)))

Outputs

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

simplify40.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

8×	`fma-def_binary64`
6×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	462
1	17	462
2	28	462
3	34	462

Stop Event

1×

saturated

Counts

236 → 192

Calls

Call 1

Inputs
(.f64 -1/4 (.f64 a b))
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(.f64 -1/4 (.f64 a b))
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(.f64 -1/4 (.f64 a b))
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(.f64 -1/4 (.f64 a b))
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(.f64 -1/4 (.f64 a b))
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(.f64 -1/4 (.f64 a b))
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))

Outputs
(.f64 -1/4 (.f64 a b))
(.f64 b (.f64 -1/4 a))
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(fma.f64 y x (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (.f64 a b) (.f64 y x))
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(fma.f64 y x (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (.f64 a b) (.f64 y x))
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(fma.f64 y x (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (.f64 a b) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(fma.f64 y x (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (.f64 a b) (.f64 y x))
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(fma.f64 y x (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (.f64 a b) (.f64 y x))
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(fma.f64 y x (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (.f64 a b) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(fma.f64 y x (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (.f64 a b) (.f64 y x))
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(fma.f64 y x (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (.f64 a b) (.f64 y x))
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(fma.f64 y x (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (.f64 a b) (.f64 y x))
(.f64 -1/4 (.f64 a b))
(.f64 b (.f64 -1/4 a))
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(fma.f64 y x (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (.f64 a b) (.f64 y x))
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(fma.f64 y x (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (.f64 a b) (.f64 y x))
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(fma.f64 y x (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (.f64 a b) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(fma.f64 y x (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (.f64 a b) (.f64 y x))
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(fma.f64 y x (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (.f64 a b) (.f64 y x))
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(fma.f64 y x (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (.f64 a b) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(fma.f64 y x (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (.f64 a b) (.f64 y x))
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(fma.f64 y x (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (.f64 a b) (.f64 y x))
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(fma.f64 y x (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (.f64 a b) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(fma.f64 y x (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (.f64 a b) (.f64 y x))
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(fma.f64 y x (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (.f64 a b) (.f64 y x))
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(fma.f64 y x (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (.f64 a b) (.f64 y x))
(.f64 -1/4 (.f64 a b))
(.f64 b (.f64 -1/4 a))
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(fma.f64 y x (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (.f64 a b) (.f64 y x))
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(fma.f64 y x (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (.f64 a b) (.f64 y x))
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(fma.f64 y x (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (.f64 a b) (.f64 y x))
(.f64 -1/4 (.f64 a b))
(.f64 b (.f64 -1/4 a))
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(fma.f64 y x (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (.f64 a b) (.f64 y x))
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(fma.f64 y x (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (.f64 a b) (.f64 y x))
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(fma.f64 y x (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (.f64 a b) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(fma.f64 y x (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (.f64 a b) (.f64 y x))
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(fma.f64 y x (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (.f64 a b) (.f64 y x))
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(fma.f64 y x (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (.f64 a b) (.f64 y x))
(.f64 -1/4 (.f64 a b))
(.f64 b (.f64 -1/4 a))
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(fma.f64 y x (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (.f64 a b) (.f64 y x))
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(fma.f64 y x (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (.f64 a b) (.f64 y x))
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(fma.f64 y x (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (.f64 a b) (.f64 y x))
(.f64 -1/4 (.f64 a b))
(.f64 b (.f64 -1/4 a))
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(fma.f64 y x (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (.f64 a b) (.f64 y x))
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(fma.f64 y x (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (.f64 a b) (.f64 y x))
(+.f64 (.f64 y x) (.f64 -1/4 (*.f64 a b)))
(fma.f64 y x (.f64 -1/4 (.f64 a b)))
(fma.f64 -1/4 (.f64 a b) (.f64 y x))

eval275.0ms (1.3%)

Compiler: Compiled 6971 to 3730 computations (46.5% saved)

prune93.0ms (0.4%)

Pruning

13 alts after pruning (4 fresh and 9 done)

	Pruned	Kept	Total
New	370	2	372
Fresh	1	2	3
Picked	0	1	1
Done	1	8	9
Total	372	13	385

Error

Counts

385 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	29.9b	(fma.f64 (*.f64 b -1/4) a c)
✓	29.3b	(+.f64 (.f64 1/16 (.f64 t z)) c)
	31.9b	(fma.f64 y x c)
	31.3b	(fma.f64 (.f64 -1/4 b) a (.f64 1/16 (*.f64 t z)))
	45.0b	c
✓	34.5b	(-.f64 (.f64 y x) (.f64 1/4 (*.f64 a b)))
✓	49.7b	(*.f64 y x)
	31.3b	(-.f64 (.f64 1/16 (.f64 t z)) (.f64 1/4 (.f64 a b)))
✓	33.8b	(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
✓	31.9b	(+.f64 (*.f64 y x) c)
✓	46.7b	(.f64 (.f64 1/16 t) z)
✓	29.9b	(+.f64 (.f64 a (.f64 b -1/4)) c)
✓	47.4b	(.f64 a (.f64 b -1/4))

Compiler

Compiled 173 to 135 computations (22% saved)

regimes614.0ms (2.9%)

Counts

26 → 1

Calls

Call 1

Inputs
c
c
c
c
(*.f64 y x)
(.f64 (.f64 1/16 t) z)
(.f64 a (.f64 b -1/4))
(+.f64 (*.f64 y x) c)
(+.f64 (.f64 1/16 (.f64 t z)) c)
(+.f64 (.f64 a (.f64 b -1/4)) c)
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(-.f64 (.f64 y x) (.f64 1/4 (*.f64 a b)))
(-.f64 (.f64 1/16 (.f64 t z)) (.f64 1/4 (.f64 a b)))
(+.f64 (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))) c)
(-.f64 (+.f64 c (.f64 y x)) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 c (.f64 1/16 (.f64 t z))) (.f64 1/4 (.f64 a b)))
(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
(fma.f64 y x c)
(fma.f64 (*.f64 b -1/4) a c)
(fma.f64 (.f64 -1/4 b) a (.f64 1/16 (*.f64 t z)))
(fma.f64 x y (+.f64 c (.f64 1/16 (.f64 t z))))
(fma.f64 a (*.f64 b -1/4) (fma.f64 y x c))
(fma.f64 (.f64 -1/4 b) a (fma.f64 1/16 (.f64 t z) c))
(fma.f64 a (.f64 b -1/4) (fma.f64 y x (.f64 1/16 (*.f64 t z))))
(fma.f64 a (.f64 b -1/4) (fma.f64 y x (fma.f64 1/16 (.f64 t z) c)))
(fma.f64 x y (fma.f64 t (.f64 z 1/16) (fma.f64 (.f64 a b) -1/4 c)))

Outputs
(fma.f64 a (.f64 b -1/4) (fma.f64 y x (fma.f64 1/16 (.f64 t z) c)))

Calls

22 calls:

82.0ms	(*.f64 z t)
55.0ms	(/.f64 (*.f64 a b) 4)
52.0ms	(/.f64 (*.f64 z t) 16)
34.0ms	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
33.0ms	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`z`
0.0b	1	`t`
0.0b	1	`a`
0.0b	1	`b`
0.0b	1	`c`
0.0b	1	`(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)`
0.0b	1	`(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))`
0.0b	1	`(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))`
0.0b	1	`(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))`
0.0b	1	`(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))`
0.0b	1	`(*.f64 x y)`
0.0b	1	`(*.f64 x y)`
0.0b	1	`(/.f64 (*.f64 z t) 16)`
0.0b	1	`(/.f64 (*.f64 z t) 16)`
0.0b	1	`(*.f64 z t)`
0.0b	1	`(*.f64 z t)`
0.0b	1	`(/.f64 (*.f64 a b) 4)`
0.0b	1	`(/.f64 (*.f64 a b) 4)`
0.0b	1	`(*.f64 a b)`
0.0b	1	`(*.f64 a b)`

Compiler

Compiled 479 to 307 computations (35.9% saved)

regimes287.0ms (1.4%)

Counts

24 → 1

Calls

Call 1

Inputs
c
c
c
c
(*.f64 y x)
(.f64 (.f64 1/16 t) z)
(.f64 a (.f64 b -1/4))
(+.f64 (*.f64 y x) c)
(+.f64 (.f64 1/16 (.f64 t z)) c)
(+.f64 (.f64 a (.f64 b -1/4)) c)
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(-.f64 (.f64 y x) (.f64 1/4 (*.f64 a b)))
(-.f64 (.f64 1/16 (.f64 t z)) (.f64 1/4 (.f64 a b)))
(+.f64 (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))) c)
(-.f64 (+.f64 c (.f64 y x)) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 c (.f64 1/16 (.f64 t z))) (.f64 1/4 (.f64 a b)))
(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
(fma.f64 y x c)
(fma.f64 (*.f64 b -1/4) a c)
(fma.f64 (.f64 -1/4 b) a (.f64 1/16 (*.f64 t z)))
(fma.f64 x y (+.f64 c (.f64 1/16 (.f64 t z))))
(fma.f64 a (*.f64 b -1/4) (fma.f64 y x c))
(fma.f64 (.f64 -1/4 b) a (fma.f64 1/16 (.f64 t z) c))
(fma.f64 a (.f64 b -1/4) (fma.f64 y x (.f64 1/16 (*.f64 t z))))

Outputs
(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)

Calls

15 calls:

46.0ms	t
45.0ms	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
20.0ms	y
18.0ms	(*.f64 z t)
17.0ms	(/.f64 (*.f64 z t) 16)

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`z`
0.0b	1	`t`
0.0b	1	`a`
0.0b	1	`b`
0.0b	1	`c`
0.0b	1	`(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)`
0.0b	1	`(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))`
0.0b	1	`(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))`
0.0b	1	`(*.f64 x y)`
0.0b	1	`(/.f64 (*.f64 z t) 16)`
0.0b	1	`(*.f64 z t)`
0.0b	1	`(/.f64 (*.f64 a b) 4)`
0.0b	1	`(*.f64 a b)`

Compiler

Compiled 359 to 223 computations (37.9% saved)

regimes605.0ms (2.8%)

Counts

16 → 3

Calls

Call 1

Inputs
c
c
c
c
(*.f64 y x)
(.f64 (.f64 1/16 t) z)
(.f64 a (.f64 b -1/4))
(+.f64 (*.f64 y x) c)
(+.f64 (.f64 1/16 (.f64 t z)) c)
(+.f64 (.f64 a (.f64 b -1/4)) c)
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(-.f64 (.f64 y x) (.f64 1/4 (*.f64 a b)))
(-.f64 (.f64 1/16 (.f64 t z)) (.f64 1/4 (.f64 a b)))
(+.f64 (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))) c)
(-.f64 (+.f64 c (.f64 y x)) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 c (.f64 1/16 (.f64 t z))) (.f64 1/4 (.f64 a b)))

Outputs
(-.f64 (+.f64 c (.f64 y x)) (.f64 1/4 (*.f64 a b)))
(+.f64 (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))) c)
(-.f64 (+.f64 c (.f64 1/16 (.f64 t z))) (.f64 1/4 (.f64 a b)))

Calls

8 calls:

153.0ms	y
113.0ms	t
88.0ms	z
79.0ms	c
54.0ms	x

Results

Error	Segments	Branch
7.8b	3	`x`
6.9b	3	`y`
7.5b	3	`z`
6.0b	9	`t`
6.3b	3	`a`
6.6b	5	`b`
9.1b	6	`c`
5.0b	3	`(*.f64 a b)`

Compiler

Compiled 173 to 106 computations (38.7% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.3091765510199392e-114	3.232936046799759e-111
0.0ms	-1.6629287000669023e-20	-9.88105944177249e-31

Compiler

Compiled 34 to 26 computations (23.5% saved)

regimes441.0ms (2.1%)

Counts

15 → 3

Calls

Call 1

Inputs
c
c
c
c
(*.f64 y x)
(.f64 (.f64 1/16 t) z)
(.f64 a (.f64 b -1/4))
(+.f64 (*.f64 y x) c)
(+.f64 (.f64 1/16 (.f64 t z)) c)
(+.f64 (.f64 a (.f64 b -1/4)) c)
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(-.f64 (.f64 y x) (.f64 1/4 (*.f64 a b)))
(-.f64 (.f64 1/16 (.f64 t z)) (.f64 1/4 (.f64 a b)))
(+.f64 (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))) c)
(-.f64 (+.f64 c (.f64 y x)) (.f64 1/4 (*.f64 a b)))

Outputs
(-.f64 (+.f64 c (.f64 y x)) (.f64 1/4 (*.f64 a b)))
(+.f64 (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))) c)
(-.f64 (+.f64 c (.f64 y x)) (.f64 1/4 (*.f64 a b)))

Calls

8 calls:

114.0ms	x
82.0ms	t
63.0ms	y
47.0ms	(*.f64 a b)
41.0ms	c

Results

Error	Segments	Branch
12.2b	5	`x`
11.2b	4	`y`
8.5b	3	`z`
9.2b	5	`t`
8.8b	2	`a`
7.6b	3	`b`
12.4b	4	`c`
5.0b	3	`(*.f64 a b)`

Compiler

Compiled 160 to 100 computations (37.5% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	64959473286277460.0	1.1227976238678503e+23
0.0ms	-1.6629287000669023e-20	-9.88105944177249e-31

Compiler

Compiled 34 to 26 computations (23.5% saved)

regimes785.0ms (3.7%)

Counts

14 → 3

Calls

Call 1

Inputs
c
c
c
c
(*.f64 y x)
(.f64 (.f64 1/16 t) z)
(.f64 a (.f64 b -1/4))
(+.f64 (*.f64 y x) c)
(+.f64 (.f64 1/16 (.f64 t z)) c)
(+.f64 (.f64 a (.f64 b -1/4)) c)
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(-.f64 (.f64 y x) (.f64 1/4 (*.f64 a b)))
(-.f64 (.f64 1/16 (.f64 t z)) (.f64 1/4 (.f64 a b)))
(+.f64 (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))) c)

Outputs
(+.f64 (.f64 a (.f64 b -1/4)) c)
(+.f64 (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))) c)
(-.f64 (.f64 y x) (.f64 1/4 (*.f64 a b)))

Calls

9 calls:

257.0ms	y
138.0ms	x
131.0ms	(*.f64 a b)
71.0ms	z
52.0ms	c

Results

Error	Segments	Branch
12.8b	5	`x`
12.0b	8	`y`
12.7b	3	`z`
13.8b	3	`t`
10.4b	2	`a`
9.5b	4	`b`
12.3b	5	`c`
7.6b	3	`(*.f64 a b)`
7.6b	3	`(*.f64 a b)`

Compiler

Compiled 159 to 104 computations (34.6% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.434685725565817e+57	3.6990459525954984e+79
0.0ms	-8.275490143053718e+58	-6.117123463335505e+52

Compiler

Compiled 34 to 26 computations (23.5% saved)

regimes1.3s (6.2%)

Counts

13 → 11

Calls

Call 1

Inputs
c
c
c
c
(*.f64 y x)
(.f64 (.f64 1/16 t) z)
(.f64 a (.f64 b -1/4))
(+.f64 (*.f64 y x) c)
(+.f64 (.f64 1/16 (.f64 t z)) c)
(+.f64 (.f64 a (.f64 b -1/4)) c)
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(-.f64 (.f64 y x) (.f64 1/4 (*.f64 a b)))
(-.f64 (.f64 1/16 (.f64 t z)) (.f64 1/4 (.f64 a b)))

Outputs
(+.f64 (.f64 a (.f64 b -1/4)) c)
(+.f64 (.f64 1/16 (.f64 t z)) c)
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(+.f64 (.f64 1/16 (.f64 t z)) c)
(+.f64 (*.f64 y x) c)
(-.f64 (.f64 1/16 (.f64 t z)) (.f64 1/4 (.f64 a b)))
(-.f64 (.f64 y x) (.f64 1/4 (*.f64 a b)))
(-.f64 (.f64 1/16 (.f64 t z)) (.f64 1/4 (.f64 a b)))
(+.f64 (*.f64 y x) c)
(-.f64 (.f64 1/16 (.f64 t z)) (.f64 1/4 (.f64 a b)))
(+.f64 (*.f64 y x) c)

Calls

9 calls:

379.0ms	x
192.0ms	b
177.0ms	t
163.0ms	(*.f64 a b)
121.0ms	a

Results

Error	Segments	Branch
17.1b	10	`x`
17.6b	6	`y`
18.3b	6	`z`
17.2b	9	`t`
17.0b	7	`a`
14.6b	11	`b`
15.0b	6	`c`
15.2b	6	`(*.f64 a b)`
15.2b	6	`(*.f64 a b)`

Compiler

Compiled 148 to 100 computations (32.4% saved)

bsearch792.0ms (3.7%)

Algorithm

10×	binary-search

Steps

Time	Left	Right
58.0ms	4.218993214844959e+285	4.293610099072639e+290
206.0ms	4.3393528461897727e+257	2.188655785525466e+258
127.0ms	1.9811697459021985e+231	4.935725541367179e+233
25.0ms	2.8089471999629863e+184	6.901592988310835e+186
12.0ms	5.03867305933006e+140	2.016225022705732e+142
120.0ms	7.982394603357595e+57	1.1526664851376782e+58
29.0ms	1.7948754687142242e+30	6.457828010820234e+32
159.0ms	1.1639123791181285e-25	7.923283072604857e-25
29.0ms	2.9228611281942957e-117	3.2167290469538454e-115
28.0ms	-4.04839252956605e-159	-1.1049941105676132e-159

Compiler

Compiled 938 to 732 computations (22% saved)

regimes434.0ms (2%)

Counts

12 → 6

Calls

Call 1

Inputs
c
c
c
c
(*.f64 y x)
(.f64 (.f64 1/16 t) z)
(.f64 a (.f64 b -1/4))
(+.f64 (*.f64 y x) c)
(+.f64 (.f64 1/16 (.f64 t z)) c)
(+.f64 (.f64 a (.f64 b -1/4)) c)
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(-.f64 (.f64 y x) (.f64 1/4 (*.f64 a b)))

Outputs
(+.f64 (.f64 a (.f64 b -1/4)) c)
(-.f64 (.f64 y x) (.f64 1/4 (*.f64 a b)))
(+.f64 (.f64 1/16 (.f64 t z)) c)
(-.f64 (.f64 y x) (.f64 1/4 (*.f64 a b)))
(+.f64 (.f64 1/16 (.f64 t z)) c)
(-.f64 (.f64 y x) (.f64 1/4 (*.f64 a b)))

Calls

9 calls:

77.0ms	t
54.0ms	x
48.0ms	(*.f64 a b)
47.0ms	b
45.0ms	a

Results

Error	Segments	Branch
19.9b	7	`x`
19.0b	4	`y`
18.5b	6	`z`
17.7b	10	`t`
17.3b	7	`a`
17.5b	6	`b`
16.4b	6	`c`
15.2b	6	`(*.f64 a b)`
15.2b	6	`(*.f64 a b)`

Compiler

Compiled 137 to 95 computations (30.7% saved)

bsearch1.0ms (0%)

Algorithm

5×	left-value

Steps

Time	Left	Right
0.0ms	3.2412263650285057e+27	6.319534871266571e+37
0.0ms	-3.012775087839923e-117	-1.0494549505708095e-117
0.0ms	-2.071418120535433e-61	-5.342673004125122e-63
0.0ms	-1.6460739662025738e-36	-1.8461746273570226e-43
0.0ms	-1.588613481425378e+44	-4.2179526622118695e+40

Compiler

Compiled 34 to 26 computations (23.5% saved)

regimes400.0ms (1.9%)

Counts

11 → 10

Calls

Call 1

Inputs
c
c
c
c
(*.f64 y x)
(.f64 (.f64 1/16 t) z)
(.f64 a (.f64 b -1/4))
(+.f64 (*.f64 y x) c)
(+.f64 (.f64 1/16 (.f64 t z)) c)
(+.f64 (.f64 a (.f64 b -1/4)) c)
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))

Outputs
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(+.f64 (.f64 a (.f64 b -1/4)) c)
(+.f64 (*.f64 y x) c)
(+.f64 (.f64 a (.f64 b -1/4)) c)
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(+.f64 (.f64 a (.f64 b -1/4)) c)
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(+.f64 (.f64 a (.f64 b -1/4)) c)
(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
(+.f64 (.f64 1/16 (.f64 t z)) c)

Calls

7 calls:

101.0ms	x
70.0ms	t
67.0ms	z
52.0ms	y
48.0ms	b

Results

Error	Segments	Branch
19.6b	8	`x`
19.2b	4	`y`
18.4b	7	`z`
17.9b	10	`t`
18.5b	6	`a`
18.9b	6	`b`
19.9b	3	`c`

Compiler

Compiled 108 to 75 computations (30.6% saved)

bsearch569.0ms (2.7%)

Algorithm

9×	binary-search

Steps

Time	Left	Right
10.0ms	3.03993475527479e+129	1.264286801608074e+130
155.0ms	5.877918753419281e+72	1.7124574958847727e+74
57.0ms	0.029639936124417593	712.907828725259
60.0ms	9.144909023192843e-21	2.5209000329539754e-19
57.0ms	9.455774866077695e-64	4.2904416215475334e-57
57.0ms	2.517687032542628e-90	6.767900619362298e-89
58.0ms	7.150303631180973e-193	1.1029238791060154e-191
57.0ms	5.676692576998345e-267	3.40515527172682e-256
57.0ms	-1.4610896689249652e-186	-1.5072255086133636e-201

Compiler

Compiled 290 to 226 computations (22.1% saved)

regimes537.0ms (2.5%)

Counts

10 → 6

Calls

Call 1

Inputs
c
c
c
c
(*.f64 y x)
(.f64 (.f64 1/16 t) z)
(.f64 a (.f64 b -1/4))
(+.f64 (*.f64 y x) c)
(+.f64 (.f64 1/16 (.f64 t z)) c)
(+.f64 (.f64 a (.f64 b -1/4)) c)

Outputs
(+.f64 (.f64 a (.f64 b -1/4)) c)
(+.f64 (.f64 1/16 (.f64 t z)) c)
(+.f64 (*.f64 y x) c)
(+.f64 (.f64 1/16 (.f64 t z)) c)
(+.f64 (*.f64 y x) c)
(+.f64 (.f64 1/16 (.f64 t z)) c)

Calls

7 calls:

216.0ms	a
132.0ms	c
58.0ms	x
52.0ms	t
27.0ms	b

Results

Error	Segments	Branch
20.8b	7	`x`
19.7b	4	`y`
19.7b	4	`z`
19.8b	9	`t`
19.0b	6	`a`
19.5b	5	`b`
23.1b	8	`c`

Compiler

Compiled 99 to 72 computations (27.3% saved)

bsearch244.0ms (1.1%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
29.0ms	-1.244384097950414e-277	-7.035263418316275e-283
30.0ms	-2.0823346778247216e-195	-1.1593840075237554e-201
30.0ms	-4.720080894573427e-76	-3.58889845892265e-77
28.0ms	-8.331305519933894e+27	-1.3789966839821756e+25
126.0ms	-8.95507710322931e+95	-4.743145537973443e+95

Compiler

Compiled 154 to 122 computations (20.8% saved)

regimes305.0ms (1.4%)

Counts

9 → 7

Calls

Call 1

Inputs
c
c
c
c
(*.f64 y x)
(.f64 (.f64 1/16 t) z)
(.f64 a (.f64 b -1/4))
(+.f64 (*.f64 y x) c)
(+.f64 (.f64 1/16 (.f64 t z)) c)

Outputs
(.f64 a (.f64 b -1/4))
(+.f64 (.f64 1/16 (.f64 t z)) c)
(+.f64 (*.f64 y x) c)
(+.f64 (.f64 1/16 (.f64 t z)) c)
(.f64 a (.f64 b -1/4))
(+.f64 (.f64 1/16 (.f64 t z)) c)
(+.f64 (*.f64 y x) c)

Calls

7 calls:

103.0ms	z
42.0ms	c
39.0ms	y
36.0ms	b
36.0ms	t

Results

Error	Segments	Branch
23.4b	3	`x`
22.7b	3	`y`
22.0b	5	`z`
22.0b	7	`t`
21.8b	6	`a`
21.1b	7	`b`
24.1b	7	`c`

Compiler

Compiled 92 to 68 computations (26.1% saved)

bsearch329.0ms (1.5%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
31.0ms	4.218993214844959e+285	4.293610099072639e+290
45.0ms	1.5286243579261224e+195	7.9893356137205e+197
135.0ms	2.590408341962152e+78	1.0361674948287461e+79
41.0ms	486.1938319483654	7288.0645607830875
47.0ms	1.1450783104180212e-56	6.189621076154343e-52
28.0ms	-3.970598339454207e-90	-5.620227049551793e-96

Compiler

Compiled 678 to 546 computations (19.5% saved)

regimes804.0ms (3.8%)

Counts

8 → 8

Calls

Call 1

Inputs
c
c
c
c
(*.f64 y x)
(.f64 (.f64 1/16 t) z)
(.f64 a (.f64 b -1/4))
(+.f64 (*.f64 y x) c)

Outputs
(.f64 a (.f64 b -1/4))
(+.f64 (*.f64 y x) c)
(.f64 (.f64 1/16 t) z)
(+.f64 (*.f64 y x) c)
(.f64 (.f64 1/16 t) z)
(+.f64 (*.f64 y x) c)
(.f64 a (.f64 b -1/4))
(+.f64 (*.f64 y x) c)

Calls

7 calls:

230.0ms	c
134.0ms	b
131.0ms	x
94.0ms	y
83.0ms	z

Results

Error	Segments	Branch
27.2b	7	`x`
30.4b	3	`y`
26.5b	5	`z`
26.2b	5	`t`
26.5b	4	`a`
24.8b	8	`b`
25.5b	10	`c`

Compiler

Compiled 85 to 64 computations (24.7% saved)

bsearch731.0ms (3.4%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
107.0ms	3.4867918587173054e+212	1.3966448387730475e+218
89.0ms	4.471637661216875e+154	7.378272079213326e+155
122.0ms	5.03867305933006e+140	2.016225022705732e+142
227.0ms	7.982394603357595e+57	1.1526664851376782e+58
57.0ms	1.8050314883847044e-93	8.396113554723849e-89
61.0ms	9.00476416142008e-106	6.282932443032409e-100
68.0ms	-3.583124208257808e-89	-3.970598339454207e-90

Compiler

Compiled 736 to 593 computations (19.4% saved)

regimes1.3s (5.9%)

Counts

7 → 9

Calls

Call 1

Inputs
c
c
c
c
(*.f64 y x)
(.f64 (.f64 1/16 t) z)
(.f64 a (.f64 b -1/4))

Outputs
c
(.f64 a (.f64 b -1/4))
(.f64 (.f64 1/16 t) z)
(.f64 a (.f64 b -1/4))
(.f64 (.f64 1/16 t) z)
(*.f64 y x)
(.f64 (.f64 1/16 t) z)
(.f64 a (.f64 b -1/4))
c

Calls

7 calls:

469.0ms	x
232.0ms	b
192.0ms	a
118.0ms	t
111.0ms	c

Results

Error	Segments	Branch
35.4b	8	`x`
34.7b	8	`y`
36.0b	5	`z`
33.5b	9	`t`
35.1b	7	`a`
33.3b	9	`b`
28.7b	9	`c`

Compiler

Compiled 80 to 63 computations (21.3% saved)

bsearch445.0ms (2.1%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
27.0ms	1.815067079719887e+94	1.4182592771918685e+103
153.0ms	5.714270454769437e+59	8.534945306445078e+59
40.0ms	0.010714215479033928	1827.9505769663783
30.0ms	1.6232664476791848e-180	1.4512382401405005e-179
39.0ms	1.5179572167878022e-270	3.305757816016693e-269
29.0ms	-1.1657054458150758e-247	-6.347724329468426e-249
72.0ms	-23489.31727342009	-278.5514983465733
55.0ms	-7.808715646699018e+64	-2.461402941209299e+64

Compiler

Compiled 34 to 26 computations (23.5% saved)

regimes286.0ms (1.3%)

Counts

6 → 6

Calls

Call 1

Inputs
c
c
c
c
(*.f64 y x)
(.f64 (.f64 1/16 t) z)

Outputs
c
(.f64 (.f64 1/16 t) z)
(*.f64 y x)
(.f64 (.f64 1/16 t) z)
(*.f64 y x)
c

Calls

7 calls:

70.0ms	b
65.0ms	x
36.0ms	t
32.0ms	a
29.0ms	c

Results

Error	Segments	Branch
35.6b	8	`x`
36.6b	6	`y`
37.1b	6	`z`
35.1b	7	`t`
40.2b	7	`a`
38.8b	8	`b`
31.9b	6	`c`

Compiler

Compiled 75 to 60 computations (20% saved)

bsearch159.0ms (0.7%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
28.0ms	7.349731980644859e+105	7.856687377701761e+114
29.0ms	9.538439067119094e+92	1.815067079719887e+94
30.0ms	0.010714215479033928	1827.9505769663783
43.0ms	1.6232664476791848e-180	1.4512382401405005e-179
28.0ms	-2.461402941209299e+64	-1.3345421592894425e+60

Compiler

Compiled 34 to 26 computations (23.5% saved)

regimes141.0ms (0.7%)

Counts

5 → 3

Calls

Call 1

Inputs
c
c
c
c
(*.f64 y x)

Outputs
c
(*.f64 y x)
c

Calls

7 calls:

39.0ms	c
23.0ms	b
22.0ms	y
19.0ms	x
18.0ms	z

Results

Error	Segments	Branch
39.6b	5	`x`
40.5b	2	`y`
42.0b	5	`z`
43.6b	3	`t`
45.0b	1	`a`
41.3b	5	`b`
36.5b	3	`c`

Compiler

Compiled 70 to 57 computations (18.6% saved)

bsearch85.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
50.0ms	7.349731980644859e+105	7.856687377701761e+114
34.0ms	-4.814924538003789e+31	-1.6625372990081516e+25

Compiler

Compiled 34 to 26 computations (23.5% saved)

regimes52.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

4 → 1

Calls

Call 1

Inputs
c
c
c
c

Outputs
c

Calls

7 calls:

8.0ms	y
8.0ms	a
7.0ms	b
7.0ms	t
7.0ms	c

Results

Error	Segments	Branch
45.0b	1	`x`
45.0b	1	`y`
45.0b	1	`z`
45.0b	1	`t`
45.0b	1	`a`
45.0b	1	`b`
45.0b	1	`c`

Compiler

Compiled 67 to 56 computations (16.4% saved)

simplify64.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

17×	`+-commutative_binary64`
14×	`*-commutative_binary64`
10×	`sub-neg_binary64`
8×	`cancel-sign-sub-inv_binary64`
5×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	222	1143
1	255	1143
2	275	1143
3	287	1143
4	295	1143
5	300	1143
6	302	1143

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 a (.f64 b -1/4) (fma.f64 y x (fma.f64 1/16 (.f64 t z) c)))
(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
(if (<=.f64 (.f64 a b) -6646139978924579/664613997892457936451903530140172288) (-.f64 (+.f64 c (.f64 y x)) (.f64 1/4 (.f64 a b))) (if (<=.f64 (.f64 a b) 2772669694120815/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (+.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) c) (-.f64 (+.f64 c (.f64 1/16 (.f64 t z))) (.f64 1/4 (.f64 a b)))))
(if (<=.f64 (.f64 a b) -6646139978924579/664613997892457936451903530140172288) (-.f64 (+.f64 c (.f64 y x)) (.f64 1/4 (.f64 a b))) (if (<=.f64 (.f64 a b) 100000000000000000) (+.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) c) (-.f64 (+.f64 c (.f64 y x)) (.f64 1/4 (*.f64 a b)))))
(if (<=.f64 (.f64 a b) -49999999999999998584394024780232100424968164183088578953216) (+.f64 (.f64 a (.f64 b -1/4)) c) (if (<=.f64 (.f64 a b) 9999999999999999438119489974413630815797154428513196965888) (+.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) c) (-.f64 (.f64 y x) (.f64 1/4 (.f64 a b)))))
(if (<=.f64 b -8010324397266307/1978643211784836272484020168157177520281050792809694719312504448743177800852254937362531208489944359916781371408129114714810920274454009679740369240815145343332854177189593088) (+.f64 (.f64 a (.f64 b -1/4)) c) (if (<=.f64 b 2074656888388633/709803441694928604052074031140629428079727891296209043243642772637343054798240159498233447962659731992932150006119314388217384402944) (+.f64 (.f64 1/16 (.f64 t z)) c) (if (<=.f64 b 5069553398462687/43556142965880123323311949751266331066368) (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (if (<=.f64 b 1794875468714224236793859932160) (+.f64 (.f64 1/16 (.f64 t z)) c) (if (<=.f64 b 11500000000000000120425529670065845928457043215077603278848) (+.f64 (.f64 y x) c) (if (<=.f64 b 10000000000000000508222848402996879704791089448509839788449208028871961714412352270078388372553960191290960287445781834331294577148468377157632) (-.f64 (.f64 1/16 (.f64 t z)) (.f64 1/4 (.f64 a b))) (if (<=.f64 b 999999999999999979617044168753715171107129451866841652067632118957448454785561110036171446110395985078602511391629572118883509758736380261518894779920079058604308854941977225917932503040) (-.f64 (.f64 y x) (.f64 1/4 (.f64 a b))) (if (<=.f64 b 2000000000000000112950822041041682829681252763966116749401130328310913127935156394378439523178919965959536338695072724193131961289213847754610320291206559558839567880608124639637128476165182553839199176610603506544803697392590258176) (-.f64 (.f64 1/16 (.f64 t z)) (.f64 1/4 (.f64 a b))) (if (<=.f64 b 2149999999999999898074107963305809529218251292484149598370074098894335376855494106464460620537861603635919240698064214485381143558044700143860232576306352787966011572504254814677045879310529583871249277212594113107824987369448371239763622742886393150324080640) (+.f64 (.f64 y x) c) (if (<=.f64 b 4249999999999999981713237554170037907363188573939176465006025024402204295920875490536614438381730033140373120895339650917931487962756383076570966645270399826069706480125876739175720038665583818728936713592741295545808445118556511026221918670430332910309201847803904152790886241269710848) (-.f64 (.f64 1/16 (.f64 t z)) (.f64 1/4 (.f64 a b))) (+.f64 (*.f64 y x) c)))))))))))
(if (<=.f64 (.f64 a b) -100000000000000008821361405306422640701865984) (+.f64 (.f64 a (.f64 b -1/4)) c) (if (<=.f64 (.f64 a b) -2993155353253689/2993155353253689176481146537402947624255349848014848) (-.f64 (.f64 y x) (.f64 1/4 (.f64 a b))) (if (<=.f64 (.f64 a b) -2894802230932905/14474011154664524427946373126085988481658748083205070504932198000989141204992) (+.f64 (.f64 1/16 (.f64 t z)) c) (if (<=.f64 (.f64 a b) -5678427533559429/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776) (-.f64 (.f64 y x) (.f64 1/4 (.f64 a b))) (if (<=.f64 (.f64 a b) 4999999999999999791559868416) (+.f64 (.f64 1/16 (.f64 t z)) c) (-.f64 (.f64 y x) (.f64 1/4 (.f64 a b))))))))
(if (<=.f64 t -3578853897235187/2449441655328671218473925200700819802261115891310932980616707775308160183158275122807205904404441104841876294862561960570988912251863537292521360689146388717906188066642938460312627143172697498123763712) (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (if (<=.f64 t 6594795192364733/1161731959748268017810986326679609812602547032546401921137321765090578638406565916832162745700122148898280252961088260195667644723081957584211586391486245801392945969099578026517723757683045106929874371704962060317240428677248343818872733547147389127353160238636049931893566678761472) (+.f64 (.f64 a (.f64 b -1/4)) c) (if (<=.f64 t 1836502384636071/2568425733177916751582514591250062824975751856847252861083144972201529372215371495172688738416791235950675277761805770367685269653410060480042878305982363696267199058168185838960773319279454451792623658074112) (+.f64 (.f64 y x) c) (if (<=.f64 t 5774311724632667/2293498615990071511610820895302086940796564989168281123737588839386922876088484808070018553110125686554624) (+.f64 (.f64 a (.f64 b -1/4)) c) (if (<=.f64 t 27372598177521/28948022309329048855892746252171976963317496166410141009864396001978282409984) (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (if (<=.f64 t 47483082392711/5192296858534827628530496329220096) (+.f64 (.f64 a (.f64 b -1/4)) c) (if (<=.f64 t 1067891242281699/36028797018963968) (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (if (<=.f64 t 169999999999999995546453021296755194706307008289722553445664860276625768448) (+.f64 (.f64 a (.f64 b -1/4)) c) (if (<=.f64 t 10000000000000000597830782460516151851749290252338090708736359498322008205751130936310560341066601403445681992244323541365884452864) (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (+.f64 (.f64 1/16 (*.f64 t z)) c))))))))))
(if (<=.f64 a -879999999999999958507063942391341293078620439980425991327011484655074736196101580184131712581632) (+.f64 (.f64 a (.f64 b -1/4)) c) (if (<=.f64 a -8331305519933894265696944128) (+.f64 (.f64 1/16 (.f64 t z)) c) (if (<=.f64 a -1922994918691027/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752) (+.f64 (.f64 y x) c) (if (<=.f64 a -1369170424733123/657516987693546688405123735360016083193792475352896732437285112883591519287135102764208317034698556403372871107022277214127429031272975482890976846331485106244402958891055574773957969735540339658911656466972672) (+.f64 (.f64 1/16 (.f64 t z)) c) (if (<=.f64 a -4967183886466875/39916806190694396233127454260736771321349025208709150830050944848744237837379281315699159309852714021786848936883849904879448759767871873214783435965696628406400113459021713530350754428887259743653067134890878479866616209102417407777777105368960883150142418137515120832847169904606880198557696) (+.f64 (.f64 y x) c) (+.f64 (.f64 1/16 (.f64 t z)) c))))))
(if (<=.f64 b -2276640449047675/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656) (.f64 a (.f64 b -1/4)) (if (<=.f64 b 5057945629258681/441711766194596082395824375185729628956870974218904739530401550323154944) (+.f64 (.f64 1/16 (.f64 t z)) c) (if (<=.f64 b 2138303086320793/4398046511104) (+.f64 (.f64 y x) c) (if (<=.f64 b 10200000000000000621423919753026934057083457562046272401518147178481984028540928) (+.f64 (.f64 1/16 (.f64 t z)) c) (if (<=.f64 b 1550000000000000100626514996523646205052654078358212506446285373342462566996680185260894607870308957342410274810817687037987160234119176681152459773573300954226587263291337575220698307989663121408) (.f64 a (.f64 b -1/4)) (if (<=.f64 b 419999999999999973992224492943769515117226154171216241261454658571411506879612514597715134860394628838496469769374130952273555881673838272450193959189347306050904490037667736779721336903821971111565107369609503152484162474346796848056911431144632473261188082099021696323972937297520737910784) (+.f64 (.f64 1/16 (.f64 t z)) c) (+.f64 (.f64 y x) c)))))))
(if (<=.f64 b -5136181507849877/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664) (.f64 a (.f64 b -1/4)) (if (<=.f64 b 4650510231605673/5164499756173817179311838344006023748659411585658447025661318713081295244033682389259290706560275662871806343945494986752) (+.f64 (.f64 y x) c) (if (<=.f64 b 2119596656859555/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488) (.f64 (.f64 1/16 t) z) (if (<=.f64 b 11500000000000000120425529670065845928457043215077603278848) (+.f64 (.f64 y x) c) (if (<=.f64 b 509999999999999973119502929338104769456966078680513336036570771749400500731561389616658449373592156006326358418795642204090736571906212757504) (.f64 (.f64 1/16 t) z) (if (<=.f64 b 730000000000000037391668303784325757831176237460949261484165381120381399327790526050450291402167436707870261051682460593038110991950785359638420996543741952) (+.f64 (.f64 y x) c) (if (<=.f64 b 349999999999999987045660426466893192810038112540410661816788739318555054250209106943300580971443533231712310790740585608701928492892797695648736692705265827415274187176706084214617606526973007435051420870458212352) (.f64 a (.f64 b -1/4)) (+.f64 (.f64 y x) c))))))))
(if (<=.f64 c -78087156466990183230250997021601969198265598006493671403760386048) c (if (<=.f64 c -6456694367661259/274877906944) (.f64 a (.f64 b -1/4)) (if (<=.f64 c -458833435132479/3936100983140358674171118325863157261303419813782882110237782515784158576702511753696331798193284779002326689610310857585686054524054270515222392815820422596546908348791339130466666204306680269934417552562141332061201544797059608540225005885713074181150932467712) (.f64 (.f64 1/16 t) z) (if (<=.f64 c 902891219083735/594806763391113225119224999259960224052504080663757783622308743726376262864161749418067325798462540235919489516077189220181834098217962283116332232440957850313188336178983949577074563933719094748095678312940574882427099482751152035262839576139463233204818042181657565129506139525873664) (.f64 a (.f64 b -1/4)) (if (<=.f64 c 3791901068346781/2335969596222563951944279862118549158345332995711262684456546569164428885610842821891027359394494156686664862501680336543072616817344224255105362595697773664385021273272455654442431586430261133312) (.f64 (.f64 1/16 t) z) (if (<=.f64 c 6176324715384883/576460752303423488) (.f64 y x) (if (<=.f64 c 571427045476943708290240676035754327286726818611806722850816) (.f64 (.f64 1/16 t) z) (if (<=.f64 c 18150670797198870870816109970726220012165214965813398300933776314678046888366863598036025606144) (.f64 a (*.f64 b -1/4)) c))))))))
(if (<=.f64 c -24614029412092991026595048744224346948118756850499611739717369856) c (if (<=.f64 c 3791901068346781/2335969596222563951944279862118549158345332995711262684456546569164428885610842821891027359394494156686664862501680336543072616817344224255105362595697773664385021273272455654442431586430261133312) (.f64 (.f64 1/16 t) z) (if (<=.f64 c 6176324715384883/576460752303423488) (.f64 y x) (if (<=.f64 c 953843906711909419136335900486224840305013802480134443331257592666353894751980579567819554816) (.f64 (.f64 1/16 t) z) (if (<=.f64 c 7349731980644859168764032721895208261180982046666963641225128063426982931287060295673849770407512246321152) (.f64 y x) c)))))
(if (<=.f64 c -48149245380037888976626900795392) c (if (<=.f64 c 7349731980644859168764032721895208261180982046666963641225128063426982931287060295673849770407512246321152) (*.f64 y x) c))
c

Outputs
(fma.f64 a (.f64 b -1/4) (fma.f64 y x (fma.f64 1/16 (.f64 t z) c)))
(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
(+.f64 c (-.f64 (+.f64 (/.f64 (.f64 t z) 16) (.f64 y x)) (/.f64 (*.f64 a b) 4)))
(if (<=.f64 (.f64 a b) -6646139978924579/664613997892457936451903530140172288) (-.f64 (+.f64 c (.f64 y x)) (.f64 1/4 (.f64 a b))) (if (<=.f64 (.f64 a b) 2772669694120815/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (+.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) c) (-.f64 (+.f64 c (.f64 1/16 (.f64 t z))) (.f64 1/4 (.f64 a b)))))
(if (<=.f64 (.f64 a b) -6646139978924579/664613997892457936451903530140172288) (+.f64 (+.f64 c (.f64 y x)) (.f64 -1/4 (.f64 a b))) (if (<=.f64 (.f64 a b) 2772669694120815/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z)))) (+.f64 (+.f64 c (.f64 1/16 (.f64 t z))) (.f64 -1/4 (.f64 a b)))))
(if (<=.f64 (.f64 a b) -6646139978924579/664613997892457936451903530140172288) (-.f64 (+.f64 c (.f64 y x)) (.f64 (.f64 a b) 1/4)) (if (<=.f64 (.f64 a b) 2772669694120815/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z)))) (+.f64 (+.f64 c (.f64 1/16 (.f64 t z))) (.f64 -1/4 (.f64 a b)))))
(if (<=.f64 (.f64 a b) -6646139978924579/664613997892457936451903530140172288) (-.f64 (+.f64 c (.f64 y x)) (.f64 1/4 (.f64 a b))) (if (<=.f64 (.f64 a b) 100000000000000000) (+.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) c) (-.f64 (+.f64 c (.f64 y x)) (.f64 1/4 (*.f64 a b)))))
(if (<=.f64 (.f64 a b) -6646139978924579/664613997892457936451903530140172288) (+.f64 (+.f64 c (.f64 y x)) (.f64 -1/4 (.f64 a b))) (if (<=.f64 (.f64 a b) 100000000000000000) (+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z)))) (+.f64 (+.f64 c (.f64 y x)) (.f64 -1/4 (*.f64 a b)))))
(if (<=.f64 (.f64 a b) -6646139978924579/664613997892457936451903530140172288) (-.f64 (+.f64 c (.f64 y x)) (.f64 (.f64 a b) 1/4)) (if (<=.f64 (.f64 a b) 100000000000000000) (+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z)))) (-.f64 (+.f64 c (.f64 y x)) (.f64 (*.f64 a b) 1/4))))
(if (<=.f64 (.f64 a b) -49999999999999998584394024780232100424968164183088578953216) (+.f64 (.f64 a (.f64 b -1/4)) c) (if (<=.f64 (.f64 a b) 9999999999999999438119489974413630815797154428513196965888) (+.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) c) (-.f64 (.f64 y x) (.f64 1/4 (.f64 a b)))))
(if (<=.f64 (.f64 a b) -49999999999999998584394024780232100424968164183088578953216) (+.f64 c (.f64 a (.f64 b -1/4))) (if (<=.f64 (.f64 a b) 9999999999999999438119489974413630815797154428513196965888) (+.f64 c (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z)))) (+.f64 (.f64 y x) (.f64 -1/4 (.f64 a b)))))
(if (<=.f64 b -8010324397266307/1978643211784836272484020168157177520281050792809694719312504448743177800852254937362531208489944359916781371408129114714810920274454009679740369240815145343332854177189593088) (+.f64 (.f64 a (.f64 b -1/4)) c) (if (<=.f64 b 2074656888388633/709803441694928604052074031140629428079727891296209043243642772637343054798240159498233447962659731992932150006119314388217384402944) (+.f64 (.f64 1/16 (.f64 t z)) c) (if (<=.f64 b 5069553398462687/43556142965880123323311949751266331066368) (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (if (<=.f64 b 1794875468714224236793859932160) (+.f64 (.f64 1/16 (.f64 t z)) c) (if (<=.f64 b 11500000000000000120425529670065845928457043215077603278848) (+.f64 (.f64 y x) c) (if (<=.f64 b 10000000000000000508222848402996879704791089448509839788449208028871961714412352270078388372553960191290960287445781834331294577148468377157632) (-.f64 (.f64 1/16 (.f64 t z)) (.f64 1/4 (.f64 a b))) (if (<=.f64 b 999999999999999979617044168753715171107129451866841652067632118957448454785561110036171446110395985078602511391629572118883509758736380261518894779920079058604308854941977225917932503040) (-.f64 (.f64 y x) (.f64 1/4 (.f64 a b))) (if (<=.f64 b 2000000000000000112950822041041682829681252763966116749401130328310913127935156394378439523178919965959536338695072724193131961289213847754610320291206559558839567880608124639637128476165182553839199176610603506544803697392590258176) (-.f64 (.f64 1/16 (.f64 t z)) (.f64 1/4 (.f64 a b))) (if (<=.f64 b 2149999999999999898074107963305809529218251292484149598370074098894335376855494106464460620537861603635919240698064214485381143558044700143860232576306352787966011572504254814677045879310529583871249277212594113107824987369448371239763622742886393150324080640) (+.f64 (.f64 y x) c) (if (<=.f64 b 4249999999999999981713237554170037907363188573939176465006025024402204295920875490536614438381730033140373120895339650917931487962756383076570966645270399826069706480125876739175720038665583818728936713592741295545808445118556511026221918670430332910309201847803904152790886241269710848) (-.f64 (.f64 1/16 (.f64 t z)) (.f64 1/4 (.f64 a b))) (+.f64 (*.f64 y x) c)))))))))))
(if (<=.f64 b -8010324397266307/1978643211784836272484020168157177520281050792809694719312504448743177800852254937362531208489944359916781371408129114714810920274454009679740369240815145343332854177189593088) (+.f64 c (.f64 a (.f64 b -1/4))) (if (<=.f64 b 2074656888388633/709803441694928604052074031140629428079727891296209043243642772637343054798240159498233447962659731992932150006119314388217384402944) (+.f64 c (.f64 1/16 (.f64 t z))) (if (<=.f64 b 5069553398462687/43556142965880123323311949751266331066368) (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (if (<=.f64 b 1794875468714224236793859932160) (+.f64 c (.f64 1/16 (.f64 t z))) (if (<=.f64 b 11500000000000000120425529670065845928457043215077603278848) (+.f64 c (.f64 y x)) (if (<=.f64 b 10000000000000000508222848402996879704791089448509839788449208028871961714412352270078388372553960191290960287445781834331294577148468377157632) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))) (if (<=.f64 b 999999999999999979617044168753715171107129451866841652067632118957448454785561110036171446110395985078602511391629572118883509758736380261518894779920079058604308854941977225917932503040) (+.f64 (.f64 y x) (.f64 -1/4 (.f64 a b))) (if (<=.f64 b 2000000000000000112950822041041682829681252763966116749401130328310913127935156394378439523178919965959536338695072724193131961289213847754610320291206559558839567880608124639637128476165182553839199176610603506544803697392590258176) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))) (if (<=.f64 b 2149999999999999898074107963305809529218251292484149598370074098894335376855494106464460620537861603635919240698064214485381143558044700143860232576306352787966011572504254814677045879310529583871249277212594113107824987369448371239763622742886393150324080640) (+.f64 c (.f64 y x)) (if (<=.f64 b 4249999999999999981713237554170037907363188573939176465006025024402204295920875490536614438381730033140373120895339650917931487962756383076570966645270399826069706480125876739175720038665583818728936713592741295545808445118556511026221918670430332910309201847803904152790886241269710848) (+.f64 (.f64 1/16 (.f64 t z)) (.f64 -1/4 (.f64 a b))) (+.f64 c (*.f64 y x))))))))))))
(if (<=.f64 (.f64 a b) -100000000000000008821361405306422640701865984) (+.f64 (.f64 a (.f64 b -1/4)) c) (if (<=.f64 (.f64 a b) -2993155353253689/2993155353253689176481146537402947624255349848014848) (-.f64 (.f64 y x) (.f64 1/4 (.f64 a b))) (if (<=.f64 (.f64 a b) -2894802230932905/14474011154664524427946373126085988481658748083205070504932198000989141204992) (+.f64 (.f64 1/16 (.f64 t z)) c) (if (<=.f64 (.f64 a b) -5678427533559429/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776) (-.f64 (.f64 y x) (.f64 1/4 (.f64 a b))) (if (<=.f64 (.f64 a b) 4999999999999999791559868416) (+.f64 (.f64 1/16 (.f64 t z)) c) (-.f64 (.f64 y x) (.f64 1/4 (.f64 a b))))))))
(if (<=.f64 (.f64 a b) -100000000000000008821361405306422640701865984) (+.f64 c (.f64 a (.f64 b -1/4))) (if (<=.f64 (.f64 a b) -2993155353253689/2993155353253689176481146537402947624255349848014848) (+.f64 (.f64 y x) (.f64 -1/4 (.f64 a b))) (if (<=.f64 (.f64 a b) -2894802230932905/14474011154664524427946373126085988481658748083205070504932198000989141204992) (+.f64 c (.f64 1/16 (.f64 t z))) (if (<=.f64 (.f64 a b) -5678427533559429/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776) (+.f64 (.f64 y x) (.f64 -1/4 (.f64 a b))) (if (<=.f64 (.f64 a b) 4999999999999999791559868416) (+.f64 c (.f64 1/16 (.f64 t z))) (+.f64 (.f64 y x) (.f64 -1/4 (.f64 a b))))))))
(if (<=.f64 t -3578853897235187/2449441655328671218473925200700819802261115891310932980616707775308160183158275122807205904404441104841876294862561960570988912251863537292521360689146388717906188066642938460312627143172697498123763712) (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (if (<=.f64 t 6594795192364733/1161731959748268017810986326679609812602547032546401921137321765090578638406565916832162745700122148898280252961088260195667644723081957584211586391486245801392945969099578026517723757683045106929874371704962060317240428677248343818872733547147389127353160238636049931893566678761472) (+.f64 (.f64 a (.f64 b -1/4)) c) (if (<=.f64 t 1836502384636071/2568425733177916751582514591250062824975751856847252861083144972201529372215371495172688738416791235950675277761805770367685269653410060480042878305982363696267199058168185838960773319279454451792623658074112) (+.f64 (.f64 y x) c) (if (<=.f64 t 5774311724632667/2293498615990071511610820895302086940796564989168281123737588839386922876088484808070018553110125686554624) (+.f64 (.f64 a (.f64 b -1/4)) c) (if (<=.f64 t 27372598177521/28948022309329048855892746252171976963317496166410141009864396001978282409984) (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (if (<=.f64 t 47483082392711/5192296858534827628530496329220096) (+.f64 (.f64 a (.f64 b -1/4)) c) (if (<=.f64 t 1067891242281699/36028797018963968) (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (if (<=.f64 t 169999999999999995546453021296755194706307008289722553445664860276625768448) (+.f64 (.f64 a (.f64 b -1/4)) c) (if (<=.f64 t 10000000000000000597830782460516151851749290252338090708736359498322008205751130936310560341066601403445681992244323541365884452864) (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (+.f64 (.f64 1/16 (*.f64 t z)) c))))))))))
(if (<=.f64 t -3578853897235187/2449441655328671218473925200700819802261115891310932980616707775308160183158275122807205904404441104841876294862561960570988912251863537292521360689146388717906188066642938460312627143172697498123763712) (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (if (<=.f64 t 6594795192364733/1161731959748268017810986326679609812602547032546401921137321765090578638406565916832162745700122148898280252961088260195667644723081957584211586391486245801392945969099578026517723757683045106929874371704962060317240428677248343818872733547147389127353160238636049931893566678761472) (+.f64 c (.f64 a (.f64 b -1/4))) (if (<=.f64 t 1836502384636071/2568425733177916751582514591250062824975751856847252861083144972201529372215371495172688738416791235950675277761805770367685269653410060480042878305982363696267199058168185838960773319279454451792623658074112) (+.f64 c (.f64 y x)) (if (<=.f64 t 5774311724632667/2293498615990071511610820895302086940796564989168281123737588839386922876088484808070018553110125686554624) (+.f64 c (.f64 a (.f64 b -1/4))) (if (<=.f64 t 27372598177521/28948022309329048855892746252171976963317496166410141009864396001978282409984) (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (if (<=.f64 t 47483082392711/5192296858534827628530496329220096) (+.f64 c (.f64 a (.f64 b -1/4))) (if (<=.f64 t 1067891242281699/36028797018963968) (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (if (<=.f64 t 169999999999999995546453021296755194706307008289722553445664860276625768448) (+.f64 c (.f64 a (.f64 b -1/4))) (if (<=.f64 t 10000000000000000597830782460516151851749290252338090708736359498322008205751130936310560341066601403445681992244323541365884452864) (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (+.f64 c (.f64 1/16 (*.f64 t z))))))))))))
(if (<=.f64 a -879999999999999958507063942391341293078620439980425991327011484655074736196101580184131712581632) (+.f64 (.f64 a (.f64 b -1/4)) c) (if (<=.f64 a -8331305519933894265696944128) (+.f64 (.f64 1/16 (.f64 t z)) c) (if (<=.f64 a -1922994918691027/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752) (+.f64 (.f64 y x) c) (if (<=.f64 a -1369170424733123/657516987693546688405123735360016083193792475352896732437285112883591519287135102764208317034698556403372871107022277214127429031272975482890976846331485106244402958891055574773957969735540339658911656466972672) (+.f64 (.f64 1/16 (.f64 t z)) c) (if (<=.f64 a -4967183886466875/39916806190694396233127454260736771321349025208709150830050944848744237837379281315699159309852714021786848936883849904879448759767871873214783435965696628406400113459021713530350754428887259743653067134890878479866616209102417407777777105368960883150142418137515120832847169904606880198557696) (+.f64 (.f64 y x) c) (+.f64 (.f64 1/16 (.f64 t z)) c))))))
(if (<=.f64 a -879999999999999958507063942391341293078620439980425991327011484655074736196101580184131712581632) (+.f64 c (.f64 a (.f64 b -1/4))) (if (<=.f64 a -8331305519933894265696944128) (+.f64 c (.f64 1/16 (.f64 t z))) (if (<=.f64 a -1922994918691027/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752) (+.f64 c (.f64 y x)) (if (<=.f64 a -1369170424733123/657516987693546688405123735360016083193792475352896732437285112883591519287135102764208317034698556403372871107022277214127429031272975482890976846331485106244402958891055574773957969735540339658911656466972672) (+.f64 c (.f64 1/16 (.f64 t z))) (if (<=.f64 a -4967183886466875/39916806190694396233127454260736771321349025208709150830050944848744237837379281315699159309852714021786848936883849904879448759767871873214783435965696628406400113459021713530350754428887259743653067134890878479866616209102417407777777105368960883150142418137515120832847169904606880198557696) (+.f64 c (.f64 y x)) (+.f64 c (.f64 1/16 (.f64 t z))))))))
(if (<=.f64 b -2276640449047675/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656) (.f64 a (.f64 b -1/4)) (if (<=.f64 b 5057945629258681/441711766194596082395824375185729628956870974218904739530401550323154944) (+.f64 (.f64 1/16 (.f64 t z)) c) (if (<=.f64 b 2138303086320793/4398046511104) (+.f64 (.f64 y x) c) (if (<=.f64 b 10200000000000000621423919753026934057083457562046272401518147178481984028540928) (+.f64 (.f64 1/16 (.f64 t z)) c) (if (<=.f64 b 1550000000000000100626514996523646205052654078358212506446285373342462566996680185260894607870308957342410274810817687037987160234119176681152459773573300954226587263291337575220698307989663121408) (.f64 a (.f64 b -1/4)) (if (<=.f64 b 419999999999999973992224492943769515117226154171216241261454658571411506879612514597715134860394628838496469769374130952273555881673838272450193959189347306050904490037667736779721336903821971111565107369609503152484162474346796848056911431144632473261188082099021696323972937297520737910784) (+.f64 (.f64 1/16 (.f64 t z)) c) (+.f64 (.f64 y x) c)))))))
(if (<=.f64 b -2276640449047675/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656) (.f64 a (.f64 b -1/4)) (if (<=.f64 b 5057945629258681/441711766194596082395824375185729628956870974218904739530401550323154944) (+.f64 c (.f64 1/16 (.f64 t z))) (if (<=.f64 b 2138303086320793/4398046511104) (+.f64 c (.f64 y x)) (if (<=.f64 b 10200000000000000621423919753026934057083457562046272401518147178481984028540928) (+.f64 c (.f64 1/16 (.f64 t z))) (if (<=.f64 b 1550000000000000100626514996523646205052654078358212506446285373342462566996680185260894607870308957342410274810817687037987160234119176681152459773573300954226587263291337575220698307989663121408) (.f64 a (.f64 b -1/4)) (if (<=.f64 b 419999999999999973992224492943769515117226154171216241261454658571411506879612514597715134860394628838496469769374130952273555881673838272450193959189347306050904490037667736779721336903821971111565107369609503152484162474346796848056911431144632473261188082099021696323972937297520737910784) (+.f64 c (.f64 1/16 (.f64 t z))) (+.f64 c (.f64 y x))))))))
(if (<=.f64 b -5136181507849877/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664) (.f64 a (.f64 b -1/4)) (if (<=.f64 b 4650510231605673/5164499756173817179311838344006023748659411585658447025661318713081295244033682389259290706560275662871806343945494986752) (+.f64 (.f64 y x) c) (if (<=.f64 b 2119596656859555/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488) (.f64 (.f64 1/16 t) z) (if (<=.f64 b 11500000000000000120425529670065845928457043215077603278848) (+.f64 (.f64 y x) c) (if (<=.f64 b 509999999999999973119502929338104769456966078680513336036570771749400500731561389616658449373592156006326358418795642204090736571906212757504) (.f64 (.f64 1/16 t) z) (if (<=.f64 b 730000000000000037391668303784325757831176237460949261484165381120381399327790526050450291402167436707870261051682460593038110991950785359638420996543741952) (+.f64 (.f64 y x) c) (if (<=.f64 b 349999999999999987045660426466893192810038112540410661816788739318555054250209106943300580971443533231712310790740585608701928492892797695648736692705265827415274187176706084214617606526973007435051420870458212352) (.f64 a (.f64 b -1/4)) (+.f64 (.f64 y x) c))))))))
(if (<=.f64 b -5136181507849877/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664) (.f64 a (.f64 b -1/4)) (if (<=.f64 b 4650510231605673/5164499756173817179311838344006023748659411585658447025661318713081295244033682389259290706560275662871806343945494986752) (+.f64 c (.f64 y x)) (if (<=.f64 b 2119596656859555/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488) (.f64 z (.f64 1/16 t)) (if (<=.f64 b 11500000000000000120425529670065845928457043215077603278848) (+.f64 c (.f64 y x)) (if (<=.f64 b 509999999999999973119502929338104769456966078680513336036570771749400500731561389616658449373592156006326358418795642204090736571906212757504) (.f64 z (.f64 1/16 t)) (if (<=.f64 b 730000000000000037391668303784325757831176237460949261484165381120381399327790526050450291402167436707870261051682460593038110991950785359638420996543741952) (+.f64 c (.f64 y x)) (if (<=.f64 b 349999999999999987045660426466893192810038112540410661816788739318555054250209106943300580971443533231712310790740585608701928492892797695648736692705265827415274187176706084214617606526973007435051420870458212352) (.f64 a (.f64 b -1/4)) (+.f64 c (.f64 y x)))))))))
(if (<=.f64 c -78087156466990183230250997021601969198265598006493671403760386048) c (if (<=.f64 c -6456694367661259/274877906944) (.f64 a (.f64 b -1/4)) (if (<=.f64 c -458833435132479/3936100983140358674171118325863157261303419813782882110237782515784158576702511753696331798193284779002326689610310857585686054524054270515222392815820422596546908348791339130466666204306680269934417552562141332061201544797059608540225005885713074181150932467712) (.f64 (.f64 1/16 t) z) (if (<=.f64 c 902891219083735/594806763391113225119224999259960224052504080663757783622308743726376262864161749418067325798462540235919489516077189220181834098217962283116332232440957850313188336178983949577074563933719094748095678312940574882427099482751152035262839576139463233204818042181657565129506139525873664) (.f64 a (.f64 b -1/4)) (if (<=.f64 c 3791901068346781/2335969596222563951944279862118549158345332995711262684456546569164428885610842821891027359394494156686664862501680336543072616817344224255105362595697773664385021273272455654442431586430261133312) (.f64 (.f64 1/16 t) z) (if (<=.f64 c 6176324715384883/576460752303423488) (.f64 y x) (if (<=.f64 c 571427045476943708290240676035754327286726818611806722850816) (.f64 (.f64 1/16 t) z) (if (<=.f64 c 18150670797198870870816109970726220012165214965813398300933776314678046888366863598036025606144) (.f64 a (*.f64 b -1/4)) c))))))))
(if (<=.f64 c -78087156466990183230250997021601969198265598006493671403760386048) c (if (<=.f64 c -6456694367661259/274877906944) (.f64 a (.f64 b -1/4)) (if (<=.f64 c -458833435132479/3936100983140358674171118325863157261303419813782882110237782515784158576702511753696331798193284779002326689610310857585686054524054270515222392815820422596546908348791339130466666204306680269934417552562141332061201544797059608540225005885713074181150932467712) (.f64 z (.f64 1/16 t)) (if (<=.f64 c 902891219083735/594806763391113225119224999259960224052504080663757783622308743726376262864161749418067325798462540235919489516077189220181834098217962283116332232440957850313188336178983949577074563933719094748095678312940574882427099482751152035262839576139463233204818042181657565129506139525873664) (.f64 a (.f64 b -1/4)) (if (<=.f64 c 3791901068346781/2335969596222563951944279862118549158345332995711262684456546569164428885610842821891027359394494156686664862501680336543072616817344224255105362595697773664385021273272455654442431586430261133312) (.f64 z (.f64 1/16 t)) (if (<=.f64 c 6176324715384883/576460752303423488) (.f64 y x) (if (<=.f64 c 571427045476943708290240676035754327286726818611806722850816) (.f64 z (.f64 1/16 t)) (if (<=.f64 c 18150670797198870870816109970726220012165214965813398300933776314678046888366863598036025606144) (.f64 a (*.f64 b -1/4)) c))))))))
(if (<=.f64 c -24614029412092991026595048744224346948118756850499611739717369856) c (if (<=.f64 c 3791901068346781/2335969596222563951944279862118549158345332995711262684456546569164428885610842821891027359394494156686664862501680336543072616817344224255105362595697773664385021273272455654442431586430261133312) (.f64 (.f64 1/16 t) z) (if (<=.f64 c 6176324715384883/576460752303423488) (.f64 y x) (if (<=.f64 c 953843906711909419136335900486224840305013802480134443331257592666353894751980579567819554816) (.f64 (.f64 1/16 t) z) (if (<=.f64 c 7349731980644859168764032721895208261180982046666963641225128063426982931287060295673849770407512246321152) (.f64 y x) c)))))
(if (<=.f64 c -24614029412092991026595048744224346948118756850499611739717369856) c (if (<=.f64 c 3791901068346781/2335969596222563951944279862118549158345332995711262684456546569164428885610842821891027359394494156686664862501680336543072616817344224255105362595697773664385021273272455654442431586430261133312) (.f64 z (.f64 1/16 t)) (if (<=.f64 c 6176324715384883/576460752303423488) (.f64 y x) (if (<=.f64 c 953843906711909419136335900486224840305013802480134443331257592666353894751980579567819554816) (.f64 z (.f64 1/16 t)) (if (<=.f64 c 7349731980644859168764032721895208261180982046666963641225128063426982931287060295673849770407512246321152) (.f64 y x) c)))))
(if (<=.f64 c -48149245380037888976626900795392) c (if (<=.f64 c 7349731980644859168764032721895208261180982046666963641225128063426982931287060295673849770407512246321152) (*.f64 y x) c))
c

Compiler

Compiled 894 to 522 computations (41.6% saved)

soundness245.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1185×	`fma-neg_binary64`
706×	`fma-def_binary64`
344×	`cancel-sign-sub-inv_binary64`
115×	`distribute-rgt-neg-in_binary64`
113×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	3259
1	71	3251
2	168	3113
3	442	3113
4	718	3113
5	1151	3113
6	2126	3113
7	2958	3113
8	3348	3113
9	3454	3113
10	3454	3113
11	3751	3113
12	3751	3113

Stop Event

1×

saturated

Compiler

Compiled 302 to 211 computations (30.1% saved)

end450.0ms (2.1%)

Remove

(sort a b)

(sort z t)

(sort x y)

Compiler

Compiled 922 to 476 computations (48.4% saved)