Details

analyze606.0ms (3.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12

Compiler

Compiled 25 to 18 computations (28% saved)

sample2.5s (15%)

Results

1.8s	8256×	body	256	valid
738.0ms	3852×	body	256	invalid

preprocess144.0ms (0.9%)

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)

simplify137.0ms (0.8%)

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)))

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

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)

localize23.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series24.0ms (0.1%)

Counts

3 → 204

Calls

51 calls:

Time	Variable		Point	Expression
3.0ms	z	@	inf	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
1.0ms	x	@	0	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
1.0ms	t	@	0	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
1.0ms	y	@	0	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
1.0ms	a	@	0	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))

rewrite114.0ms (0.7%)

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	54
1	411	50
2	6067	50

Stop Event

1×	node limit

Counts

3 → 146

Calls

Call 1

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

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 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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 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(+.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 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Outputs

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simplify246.0ms (1.5%)

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	3091
1	71	3083
2	168	2945
3	442	2945
4	718	2945
5	1151	2945
6	2126	2945
7	2958	2945
8	3348	2945
9	3454	2945
10	3454	2945
11	3751	2945
12	3751	2945

Stop Event

1×

saturated

Counts

350 → 169

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 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 (+.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)))

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)
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(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)))

localize20.0ms (0.1%)

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)

series11.0ms (0.1%)

Counts

2 → 96

Calls

24 calls:

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

rewrite70.0ms (0.4%)

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))))))

simplify30.0ms (0.2%)

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))

eval112.0ms (0.7%)

Compiler: Compiled 6151 to 3234 computations (47.4% saved)

prune106.0ms (0.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	242	11	253
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	244	11	255

Error

Counts

255 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	27.9b	(+.f64 (*.f64 y x) c)
	13.3b	(fma.f64 a (*.f64 b -1/4) (fma.f64 y x c))
▶	13.4b	(-.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)))
▶	35.5b	(fma.f64 x y (.f64 1/16 (.f64 t z)))
	14.5b	(-.f64 (+.f64 c (.f64 1/16 (.f64 t z))) (.f64 1/4 (.f64 a b)))
▶	27.8b	(+.f64 (.f64 a (.f64 b -1/4)) c)
	15.2b	(fma.f64 x y (fma.f64 t (*.f64 z 1/16) c))
	15.2b	(+.f64 (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))) c)
	29.5b	(+.f64 (.f64 1/16 (.f64 t z)) c)
	42.2b	c

Compiler

Compiled 336 to 245 computations (27.1% saved)

localize53.0ms (0.3%)

Local error

Found 3 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 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)

series18.0ms (0.1%)

Counts

3 → 180

Calls

45 calls:

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

rewrite81.0ms (0.5%)

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	39
1	298	39
2	3407	39

Stop Event

1×	node limit

Counts

3 → 92

Calls

Call 1

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

Outputs

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

simplify102.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	2535
1	53	2473
2	108	2245
3	205	2245
4	217	2245

Stop Event

1×

saturated

Counts

272 → 112

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

localize7.0ms (0%)

Compiler: Compiled 18 to 9 computations (50% saved)

localize14.0ms (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)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite83.0ms (0.5%)

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)))))

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 -1/4 (.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)

localize14.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 40 to 16 computations (60% saved)

series5.0ms (0%)

Counts

1 → 33

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	c	@	0	(-.f64 (+.f64 c (.f64 y x)) (.f64 1/4 (*.f64 a b)))
0.0ms	y	@	0	(-.f64 (+.f64 c (.f64 y x)) (.f64 1/4 (*.f64 a b)))
0.0ms	y	@	-inf	(-.f64 (+.f64 c (.f64 y x)) (.f64 1/4 (*.f64 a b)))
0.0ms	x	@	-inf	(-.f64 (+.f64 c (.f64 y x)) (.f64 1/4 (*.f64 a b)))
0.0ms	y	@	inf	(-.f64 (+.f64 c (.f64 y x)) (.f64 1/4 (*.f64 a b)))

rewrite77.0ms (0.5%)

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	16
1	267	14
2	3796	12

Stop Event

1×	node limit

Counts

1 → 157

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 c (fma.f64 y x (*.f64 (*.f64 a b) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 c (*.f64 (fma.f64 y x (*.f64 (*.f64 a b) -1/4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (+.f64 c (*.f64 (*.f64 a b) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y x c) (*.f64 (*.f64 a b) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y x 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 y x 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 y x 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 y x c)) (fma.f64 -1/4 (*.f64 a b) (*.f64 1/4 (*.f64 a b))))))) 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b) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (+.f64 c (*.f64 (*.f64 a b) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 y x c) 3) (*.f64 (pow.f64 (*.f64 a b) 3) 1/64)) (/.f64 1 (fma.f64 (*.f64 1/4 (*.f64 a b)) (fma.f64 1/4 (*.f64 a b) (fma.f64 y x c)) (pow.f64 (fma.f64 y x c) 2))) (fma.f64 (*.f64 (*.f64 a b) -1/4) 1 (*.f64 1/4 (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 y x c) 3) (*.f64 (pow.f64 (*.f64 a b) 3) 1/64)) (/.f64 1 (fma.f64 (*.f64 1/4 (*.f64 a b)) (fma.f64 1/4 (*.f64 a b) (fma.f64 y x c)) (pow.f64 (fma.f64 y x c) 2))) (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 fma.f64 (-.f64 (pow.f64 (fma.f64 y x c) 3) (*.f64 (pow.f64 (*.f64 a b) 3) 1/64)) (/.f64 1 (fma.f64 (*.f64 1/4 (*.f64 a b)) (fma.f64 1/4 (*.f64 a b) (fma.f64 y x c)) (pow.f64 (fma.f64 y x c) 2))) (fma.f64 -1/4 (*.f64 a b) (*.f64 1/4 (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 y x c) 3) (*.f64 (pow.f64 (*.f64 a b) 3) 1/64)) (/.f64 1 (fma.f64 (*.f64 1/4 (*.f64 a b)) (fma.f64 1/4 (*.f64 a b) (fma.f64 y x c)) (pow.f64 (fma.f64 y x c) 2))) (fma.f64 (neg.f64 b) (*.f64 1/4 a) (*.f64 1/4 (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 c 3) (pow.f64 (*.f64 y x) 3)) (/.f64 1 (fma.f64 c c (*.f64 (*.f64 y x) (fma.f64 y x (neg.f64 c))))) (*.f64 (*.f64 a b) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 c 3) (pow.f64 (*.f64 y x) 3)) (/.f64 1 (fma.f64 c c (*.f64 (*.f64 y x) (fma.f64 y x (neg.f64 c))))) (*.f64 (*.f64 (*.f64 a b) -1/4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 y x c) 2) (*.f64 (pow.f64 (*.f64 a b) 2) 1/16)) (/.f64 1 (fma.f64 1/4 (*.f64 a b) (fma.f64 y x c))) (fma.f64 (*.f64 (*.f64 a b) -1/4) 1 (*.f64 1/4 (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 y x c) 2) (*.f64 (pow.f64 (*.f64 a b) 2) 1/16)) (/.f64 1 (fma.f64 1/4 (*.f64 a b) (fma.f64 y x 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 fma.f64 (-.f64 (pow.f64 (fma.f64 y x c) 2) (*.f64 (pow.f64 (*.f64 a b) 2) 1/16)) (/.f64 1 (fma.f64 1/4 (*.f64 a b) (fma.f64 y x c))) (fma.f64 -1/4 (*.f64 a b) (*.f64 1/4 (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 y x c) 2) (*.f64 (pow.f64 (*.f64 a b) 2) 1/16)) (/.f64 1 (fma.f64 1/4 (*.f64 a b) (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 fma.f64 (-.f64 (*.f64 c c) (pow.f64 (*.f64 y x) 2)) (/.f64 1 (-.f64 c (*.f64 y x))) (*.f64 (*.f64 a b) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 a b)) 1/2)) (*.f64 (sqrt.f64 (*.f64 a b)) 1/2) (fma.f64 y x c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 1/4 (*.f64 a b)) (fma.f64 y x c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 y x c)) (*.f64 (sqrt.f64 (*.f64 a b)) 1/2)) (-.f64 (sqrt.f64 (fma.f64 y x c)) (*.f64 (sqrt.f64 (*.f64 a b)) 1/2)) (fma.f64 (*.f64 (*.f64 a b) -1/4) 1 (*.f64 1/4 (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 y x c)) (*.f64 (sqrt.f64 (*.f64 a b)) 1/2)) (-.f64 (sqrt.f64 (fma.f64 y x c)) (*.f64 (sqrt.f64 (*.f64 a b)) 1/2)) (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 fma.f64 (+.f64 (sqrt.f64 (fma.f64 y x c)) (*.f64 (sqrt.f64 (*.f64 a b)) 1/2)) (-.f64 (sqrt.f64 (fma.f64 y x c)) (*.f64 (sqrt.f64 (*.f64 a b)) 1/2)) (fma.f64 -1/4 (*.f64 a b) (*.f64 1/4 (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 y x c)) (*.f64 (sqrt.f64 (*.f64 a b)) 1/2)) (-.f64 (sqrt.f64 (fma.f64 y x c)) (*.f64 (sqrt.f64 (*.f64 a b)) 1/2)) (fma.f64 (neg.f64 b) (*.f64 1/4 a) (*.f64 1/4 (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 a b)) 1/2)) (-.f64 (sqrt.f64 (*.f64 y x)) (*.f64 (sqrt.f64 (*.f64 a b)) 1/2)) c)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 1/4 (*.f64 a b))) 2)) (cbrt.f64 (*.f64 1/4 (*.f64 a b))) (fma.f64 y x c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (*.f64 1/4 a)) b (fma.f64 y x c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/4 a) b (fma.f64 y x c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/4 b) a (fma.f64 y x c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/4 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)) (cbrt.f64 (*.f64 a b)) (fma.f64 y x c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/4 (sqrt.f64 (*.f64 a b))) (sqrt.f64 (*.f64 a b)) (fma.f64 y x c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (+.f64 c (*.f64 (*.f64 a b) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (+.f64 c (*.f64 (*.f64 a b) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (+.f64 c (*.f64 (*.f64 a b) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (+.f64 c (*.f64 (*.f64 a b) -1/4)))))))

simplify52.0ms (0.3%)

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	343
1	36	339
2	80	299
3	188	299
4	284	299
5	430	299
6	708	299
7	980	299
8	1233	299
9	1627	299
10	1648	299

Stop Event

1×

saturated

Counts

190 → 169

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))))

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))

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 28 to 14 computations (50% saved)

series4.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite89.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

845×	`pow1_binary64`
776×	`add-log-exp_binary64`
776×	`log1p-expm1-u_binary64`
776×	`expm1-log1p-u_binary64`
759×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	181	11
2	2099	11

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify17.0ms (0.1%)

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

69 → 26

Calls

Call 1

Inputs
(.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)))

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

eval171.0ms (1%)

Compiler: Compiled 6358 to 3013 computations (52.6% saved)

prune133.0ms (0.8%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	339	8	347
Fresh	3	3	6
Picked	0	1	1
Done	2	2	4
Total	344	14	358

Error

Counts

358 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	49.9b	(.f64 z (.f64 1/16 t))
✓	27.9b	(+.f64 (*.f64 y x) c)
	48.1b	(.f64 a (.f64 b -1/4))
	15.2b	(fma.f64 x y (fma.f64 t (*.f64 z 1/16) c))
	33.6b	(-.f64 (.f64 y x) (.f64 1/4 (*.f64 a b)))
▶	48.1b	(*.f64 y x)
	29.5b	(+.f64 (.f64 1/16 (.f64 t z)) c)
▶	35.5b	(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
	20.7b	(fma.f64 a (.f64 b -1/4) (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))))
▶	27.8b	(fma.f64 (*.f64 b -1/4) a c)
✓	35.5b	(fma.f64 x y (.f64 1/16 (.f64 t z)))
▶	14.5b	(-.f64 (+.f64 c (.f64 1/16 (.f64 t z))) (.f64 1/4 (.f64 a b)))
✓	27.8b	(+.f64 (.f64 a (.f64 b -1/4)) c)
	42.2b	c

Compiler

Compiled 349 to 266 computations (23.8% saved)

localize29.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	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)

series8.0ms (0%)

Counts

2 → 42

Calls

24 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	@	inf	(-.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	z	@	inf	(-.f64 (+.f64 c (.f64 1/16 (.f64 t z))) (.f64 1/4 (.f64 a b)))

rewrite122.0ms (0.7%)

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	29
1	308	25
2	4267	23

Stop Event

1×	node limit

Counts

2 → 215

Calls

Call 1

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

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

simplify75.0ms (0.4%)

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	457
1	41	453
2	95	413
3	224	413
4	337	413
5	541	413
6	883	413
7	1255	413
8	1579	413
9	2006	413
10	2027	413

Stop Event

1×

saturated

Counts

257 → 227

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

localize5.0ms (0%)

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

series5.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	t	@	0	(.f64 z (.f64 1/16 t))
1.0ms	z	@	0	(.f64 z (.f64 1/16 t))
0.0ms	t	@	inf	(.f64 z (.f64 1/16 t))
0.0ms	z	@	inf	(.f64 z (.f64 1/16 t))
0.0ms	t	@	-inf	(.f64 z (.f64 1/16 t))

rewrite47.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

551×	`pow1_binary64`
510×	`add-log-exp_binary64`
510×	`log1p-expm1-u_binary64`
510×	`expm1-log1p-u_binary64`
500×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	122	7
2	1395	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify12.0ms (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))

localize14.0ms (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)

series3.0ms (0%)

Counts

1 → 12

Calls

12 calls:

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

rewrite74.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

540×	`log-prod_binary64`
405×	`exp-prod_binary64`
359×	`fma-def_binary64`
358×	`pow-prod-down_binary64`
278×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	212	11
2	2773	11

Stop Event

1×	node limit

Counts

1 → 78

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y x (*.f64 (*.f64 1/16 z) t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 y x) 2) (fma.f64 y x (*.f64 -1/16 (*.f64 t z)))) (/.f64 (pow.f64 (*.f64 (*.f64 1/16 z) t) 2) (fma.f64 y x (*.f64 -1/16 (*.f64 t z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y x (*.f64 (*.f64 1/16 z) t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y x (*.f64 (*.f64 1/16 z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y x (*.f64 (*.f64 1/16 z) t))) (pow.f64 (cbrt.f64 (fma.f64 y x (*.f64 (*.f64 1/16 z) t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y x (*.f64 (*.f64 1/16 z) t))) 2) (cbrt.f64 (fma.f64 y x (*.f64 (*.f64 1/16 z) t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y x (*.f64 (*.f64 1/16 z) t))) (sqrt.f64 (fma.f64 y x (*.f64 (*.f64 1/16 z) t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (*.f64 t z) 3) 1/4096 (pow.f64 (*.f64 y x) 3)) (/.f64 1 (fma.f64 (*.f64 (*.f64 1/16 z) t) (-.f64 (*.f64 (*.f64 1/16 z) t) (*.f64 y x)) (pow.f64 (*.f64 y x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (*.f64 (*.f64 1/16 z) t) 2)) (/.f64 1 (fma.f64 y x (*.f64 -1/16 (*.f64 t z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 (*.f64 1/16 z) t) (-.f64 (*.f64 (*.f64 1/16 z) t) (*.f64 y x)) (pow.f64 (*.f64 y x) 2)) (fma.f64 (pow.f64 (*.f64 t z) 3) 1/4096 (pow.f64 (*.f64 y x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 y x (*.f64 -1/16 (*.f64 t z))) (-.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (*.f64 (*.f64 1/16 z) t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (*.f64 t z) 3) 1/4096 (pow.f64 (*.f64 y x) 3)) (fma.f64 (*.f64 (*.f64 1/16 z) t) (-.f64 (*.f64 (*.f64 1/16 z) t) (*.f64 y x)) (pow.f64 (*.f64 y x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (*.f64 t z) 3) 1/4096 (pow.f64 (*.f64 y x) 3)) (fma.f64 (pow.f64 (*.f64 t z) 2) 1/256 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y (*.f64 x (*.f64 (*.f64 1/16 z) t))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (*.f64 (*.f64 1/16 z) t) 2)) (fma.f64 y x (*.f64 -1/16 (*.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 t z) 3) 1/4096 (pow.f64 (*.f64 y x) 3))) (neg.f64 (fma.f64 (*.f64 (*.f64 1/16 z) t) (-.f64 (*.f64 (*.f64 1/16 z) t) (*.f64 y x)) (pow.f64 (*.f64 y x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (*.f64 (*.f64 1/16 z) t) 2))) (neg.f64 (fma.f64 y x (*.f64 -1/16 (*.f64 t z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (*.f64 1/16 z) t) 2) (pow.f64 (*.f64 y x) 2)) (-.f64 (*.f64 (*.f64 1/16 z) t) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y x (*.f64 (*.f64 1/16 z) t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y x (*.f64 (*.f64 1/16 z) t)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y x (*.f64 (*.f64 1/16 z) t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y x (*.f64 (*.f64 1/16 z) t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y x (*.f64 (*.f64 1/16 z) t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 y x (*.f64 (*.f64 1/16 z) t))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 1/16 z) t) (-.f64 (*.f64 (*.f64 1/16 z) t) (*.f64 y x)) (pow.f64 (*.f64 y x) 2)) (fma.f64 (pow.f64 (*.f64 t z) 3) 1/4096 (pow.f64 (*.f64 y x) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 y x (*.f64 -1/16 (*.f64 t z))) (-.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (*.f64 (*.f64 1/16 z) t) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 y x (*.f64 (*.f64 1/16 z) t)))) 2)) (cbrt.f64 (log.f64 (fma.f64 y x (*.f64 (*.f64 1/16 z) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 y x (*.f64 (*.f64 1/16 z) t))))) (sqrt.f64 (log.f64 (fma.f64 y x (*.f64 (*.f64 1/16 z) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y x (*.f64 (*.f64 1/16 z) t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y x (*.f64 (*.f64 1/16 z) t))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y x (*.f64 (*.f64 1/16 z) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y x))) (pow.f64 (exp.f64 1/16) (*.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 y x)) (+.f64 1 (expm1.f64 (*.f64 (*.f64 1/16 z) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y x))) (+.f64 1 (expm1.f64 (*.f64 (*.f64 1/16 z) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 1/16 z) t))) (exp.f64 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 1/16) (*.f64 t z)) (+.f64 1 (expm1.f64 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 1/16 z) t))) (+.f64 1 (expm1.f64 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y x (*.f64 (*.f64 1/16 z) t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y x (*.f64 (*.f64 1/16 z) t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y x (*.f64 (*.f64 1/16 z) t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y x (*.f64 (*.f64 1/16 z) t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 y x (*.f64 (*.f64 1/16 z) t))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 y x (*.f64 (*.f64 1/16 z) t)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y x (*.f64 (*.f64 1/16 z) t)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y x (*.f64 (*.f64 1/16 z) t)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 y x (*.f64 (*.f64 1/16 z) t))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (*.f64 (*.f64 1/16 z) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (*.f64 (*.f64 1/16 z) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y x) 1 (*.f64 (*.f64 1/16 z) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/16 (*.f64 t z) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 t (*.f64 z 1/16) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (*.f64 1/16 t) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 t z) 1/16 (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/16 z) t) 1 (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y x) (*.f64 (*.f64 1/16 z) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (*.f64 1/16 z) t) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 t z) 2)) (*.f64 (cbrt.f64 (*.f64 t z)) 1/16) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) x) (*.f64 (*.f64 1/16 z) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 1/16 z) t)) (pow.f64 (cbrt.f64 (*.f64 (*.f64 1/16 z) t)) 2) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 1/16 z) t)) 2) (cbrt.f64 (*.f64 (*.f64 1/16 z) t)) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) y) (*.f64 (*.f64 1/16 z) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (*.f64 (*.f64 1/16 z) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) (*.f64 (*.f64 1/16 z) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 t z)) (*.f64 (sqrt.f64 (*.f64 t z)) 1/16) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 (*.f64 1/16 z) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (*.f64 t z)) 1/4) (*.f64 (sqrt.f64 (*.f64 t z)) 1/4) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 (*.f64 1/16 z) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (*.f64 (*.f64 1/16 z) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/16 t) z (*.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 1/16 z) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 1/16 z) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (*.f64 y y))) (cbrt.f64 y) (*.f64 (*.f64 1/16 z) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (*.f64 1/16 z) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/16 z) t (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/16 (cbrt.f64 (pow.f64 (*.f64 t z) 2))) (cbrt.f64 (*.f64 t z)) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/16 (sqrt.f64 (*.f64 t z))) (sqrt.f64 (*.f64 t z)) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/16 t) 1) z (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/16 t) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/16 t) (sqrt.f64 z)) (sqrt.f64 z) (*.f64 y x))))))

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	66
1	14	66
2	21	66
3	23	66

Stop Event

1×

saturated

Counts

90 → 80

Calls

Call 1

Inputs
(.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 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))

localize8.0ms (0%)

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

eval138.0ms (0.8%)

Compiler: Compiled 6255 to 3158 computations (49.5% saved)

prune70.0ms (0.4%)

Pruning

15 alts after pruning (7 fresh and 8 done)

	Pruned	Kept	Total
New	316	3	319
Fresh	2	4	6
Picked	0	1	1
Done	0	7	7
Total	318	15	333

Error

Counts

333 → 15

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.5b	(fma.f64 (.f64 1/16 z) t (+.f64 c (.f64 (*.f64 a b) -1/4)))
✓	27.9b	(+.f64 (*.f64 y x) c)
✓	49.9b	(.f64 z (.f64 1/16 t))
▶	48.1b	(.f64 a (.f64 b -1/4))
	20.7b	(fma.f64 a (.f64 b -1/4) (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))))
✓	48.1b	(*.f64 y x)
▶	29.5b	(+.f64 (.f64 1/16 (.f64 t z)) c)
✓	35.5b	(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
▶	35.2b	(-.f64 (.f64 1/16 (.f64 t z)) (.f64 1/4 (.f64 a b)))
✓	27.8b	(fma.f64 (*.f64 b -1/4) a c)
✓	35.5b	(fma.f64 x y (.f64 1/16 (.f64 t z)))
✓	14.5b	(-.f64 (+.f64 c (.f64 1/16 (.f64 t z))) (.f64 1/4 (.f64 a b)))
✓	27.8b	(+.f64 (.f64 a (.f64 b -1/4)) c)
	42.2b	c
▶	33.6b	(-.f64 (.f64 y x) (.f64 1/4 (*.f64 a b)))

Compiler

Compiled 320 to 245 computations (23.4% saved)

localize41.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 44 to 23 computations (47.7% saved)

series8.0ms (0%)

Counts

2 → 96

Calls

24 calls:

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

rewrite95.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

646×	`log-prod_binary64`
414×	`pow-prod-down_binary64`
351×	`pow2_binary64`
318×	`fma-def_binary64`
244×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	27
1	271	23
2	3393	23

Stop Event

1×	node limit

Counts

2 → 92

Calls

Call 1

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

Outputs

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

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

simplify32.0ms (0.2%)

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

188 → 104

Calls

Call 1

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

localize8.0ms (0%)

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

localize9.0ms (0.1%)

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
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	c	@	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)

rewrite70.0ms (0.4%)

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)))))

simplify59.0ms (0.4%)

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)

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 32 to 15 computations (53.1% saved)

series4.0ms (0%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(-.f64 (.f64 y x) (.f64 1/4 (*.f64 a b)))
0.0ms	y	@	inf	(-.f64 (.f64 y x) (.f64 1/4 (*.f64 a b)))
0.0ms	b	@	-inf	(-.f64 (.f64 y x) (.f64 1/4 (*.f64 a b)))
0.0ms	y	@	-inf	(-.f64 (.f64 y x) (.f64 1/4 (*.f64 a b)))
0.0ms	x	@	inf	(-.f64 (.f64 y x) (.f64 1/4 (*.f64 a b)))

rewrite112.0ms (0.7%)

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

simplify45.0ms (0.3%)

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))

localize14.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 40 to 20 computations (50% saved)

series5.0ms (0%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	a	@	-inf	(-.f64 (.f64 1/16 (.f64 t z)) (.f64 1/4 (.f64 a b)))
0.0ms	t	@	0	(-.f64 (.f64 1/16 (.f64 t z)) (.f64 1/4 (.f64 a b)))
0.0ms	t	@	inf	(-.f64 (.f64 1/16 (.f64 t z)) (.f64 1/4 (.f64 a b)))
0.0ms	t	@	-inf	(-.f64 (.f64 1/16 (.f64 t z)) (.f64 1/4 (.f64 a b)))
0.0ms	b	@	-inf	(-.f64 (.f64 1/16 (.f64 t z)) (.f64 1/4 (.f64 a b)))

rewrite131.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

670×	`log-prod_binary64`
456×	`fma-def_binary64`
409×	`pow-prod-down_binary64`
332×	`pow2_binary64`
239×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	16
1	265	14
2	3391	14

Stop Event

1×	node limit

Counts

1 → 199

Calls

Call 1

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

Outputs

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simplify24.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

12×	`fma-def_binary64`
10×	`*-commutative_binary64`
6×	`associate-r_binary64`
6×	`associate-l_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	588
1	22	588
2	41	588
3	53	588

Stop Event

1×

saturated

Counts

247 → 203

Calls

Call 1

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

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

eval403.0ms (2.4%)

Compiler: Compiled 11604 to 6298 computations (45.7% saved)

prune129.0ms (0.8%)

Pruning

15 alts after pruning (3 fresh and 12 done)

	Pruned	Kept	Total
New	537	2	539
Fresh	1	1	2
Picked	0	1	1
Done	1	11	12
Total	539	15	554

Error

Counts

554 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	49.9b	(.f64 z (.f64 1/16 t))
✓	27.9b	(+.f64 (*.f64 y x) c)
✓	35.2b	(-.f64 (.f64 1/16 (.f64 t z)) (.f64 1/4 (.f64 a b)))
	29.5b	(fma.f64 (*.f64 1/16 z) t c)
	35.2b	(fma.f64 (.f64 -1/4 b) a (.f64 z (*.f64 1/16 t)))
✓	27.8b	(fma.f64 (*.f64 b -1/4) a c)
✓	48.1b	(*.f64 y x)
✓	29.5b	(+.f64 (.f64 1/16 (.f64 t z)) c)
✓	35.5b	(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
✓	48.1b	(.f64 a (.f64 b -1/4))
✓	35.5b	(fma.f64 x y (.f64 1/16 (.f64 t z)))
✓	14.5b	(-.f64 (+.f64 c (.f64 1/16 (.f64 t z))) (.f64 1/4 (.f64 a b)))
✓	27.8b	(+.f64 (.f64 a (.f64 b -1/4)) c)
	42.2b	c
✓	33.6b	(-.f64 (.f64 y x) (.f64 1/4 (*.f64 a b)))

Compiler

Compiled 210 to 163 computations (22.4% saved)

regimes487.0ms (2.9%)

Counts

26 → 1

Calls

Call 1

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

41.0ms	z
33.0ms	c
30.0ms	x
27.0ms	y
25.0ms	(+.f64 (.f64 x y) (/.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 (.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 493 to 318 computations (35.5% saved)

regimes414.0ms (2.5%)

Counts

24 → 1

Calls

Call 1

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

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

Calls

15 calls:

84.0ms	a
55.0ms	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
49.0ms	(/.f64 (*.f64 a b) 4)
27.0ms	(*.f64 x y)
25.0ms	(+.f64 (.f64 x y) (/.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 373 to 234 computations (37.3% saved)

regimes638.0ms (3.8%)

Counts

15 → 3

Calls

Call 1

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

Outputs
(-.f64 (+.f64 c (.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)))

Calls

8 calls:

157.0ms	y
131.0ms	b
87.0ms	c
77.0ms	x
62.0ms	z

Results

Error	Segments	Branch
7.4b	6	`x`
5.6b	3	`y`
5.5b	4	`z`
6.6b	6	`t`
6.6b	5	`a`
5.8b	6	`b`
6.9b	6	`c`
5.4b	3	`(*.f64 a b)`

Compiler

Compiled 176 to 109 computations (38.1% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.00014614117785411132	0.00027046663008692363
0.0ms	-318542911.79388994	-8239632.192301444

Compiler

Compiled 34 to 26 computations (23.5% saved)

regimes469.0ms (2.8%)

Counts

14 → 3

Calls

Call 1

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

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:

102.0ms	c
76.0ms	a
75.0ms	x
58.0ms	z
51.0ms	y

Results

Error	Segments	Branch
11.1b	5	`x`
9.3b	6	`y`
6.9b	3	`z`
8.0b	3	`t`
6.8b	6	`a`
8.4b	3	`b`
6.2b	8	`c`
5.7b	3	`(*.f64 a b)`

Compiler

Compiled 163 to 103 computations (36.8% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.00014614117785411132	0.00027046663008692363
0.0ms	-318542911.79388994	-8239632.192301444

Compiler

Compiled 34 to 26 computations (23.5% saved)

regimes547.0ms (3.3%)

Counts

13 → 10

Calls

Call 1

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

Calls

8 calls:

109.0ms	a
109.0ms	b
104.0ms	c
93.0ms	(*.f64 a b)
36.0ms	z

Results

Error	Segments	Branch
12.3b	3	`x`
11.1b	5	`y`
10.0b	3	`z`
9.7b	4	`t`
11.0b	5	`a`
11.9b	3	`b`
6.5b	10	`c`
12.2b	3	`(*.f64 a b)`

Compiler

Compiled 152 to 99 computations (34.9% saved)

bsearch251.0ms (1.5%)

Algorithm

9×	binary-search

Steps

Time	Left	Right
27.0ms	2.5037512526590507e+115	4.0124308060028886e+126
29.0ms	3.602587979800786e-13	2.0398388392652984e-11
27.0ms	1.954156676798629e-44	2.2210073295318824e-39
29.0ms	6.041668050320851e-140	9.954740211884649e-138
28.0ms	5.827907230892617e-150	7.848809128947344e-150
27.0ms	2.241597195780208e-298	1.5221308389724426e-297
28.0ms	-2.4599239581111038e-164	-1.0923153286640717e-171
28.0ms	-3.565656893866856e-110	-4.308845484735725e-114
28.0ms	-3.08148281323479e-20	-1.0483712670614254e-26

Compiler

Compiled 34 to 26 computations (23.5% saved)

regimes726.0ms (4.3%)

Counts

12 → 9

Calls

Call 1

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

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

Calls

9 calls:

195.0ms	c
152.0ms	y
120.0ms	t
74.0ms	x
61.0ms	a

Results

Error	Segments	Branch
18.8b	9	`x`
15.5b	9	`y`
15.7b	7	`z`
15.7b	13	`t`
16.5b	10	`a`
19.2b	5	`b`
10.8b	9	`c`
19.6b	3	`(*.f64 a b)`
19.6b	3	`(*.f64 a b)`

Compiler

Compiled 151 to 103 computations (31.8% saved)

bsearch255.0ms (1.5%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
27.0ms	2.5037512526590507e+115	4.0124308060028886e+126
29.0ms	10.424782791921974	9.451084479349805e+22
27.0ms	3.602587979800786e-13	2.0398388392652984e-11
28.0ms	1.954156676798629e-44	2.2210073295318824e-39
28.0ms	6.041668050320851e-140	9.954740211884649e-138
27.0ms	5.827907230892617e-150	7.848809128947344e-150
61.0ms	2.241597195780208e-298	1.5221308389724426e-297
29.0ms	-3.08148281323479e-20	-1.0483712670614254e-26

Compiler

Compiled 34 to 26 computations (23.5% saved)

regimes646.0ms (3.9%)

Counts

11 → 7

Calls

Call 1

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

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

Calls

9 calls:

142.0ms	a
126.0ms	t
87.0ms	x
76.0ms	(*.f64 a b)
74.0ms	b

Results

Error	Segments	Branch
18.8b	9	`x`
17.8b	4	`y`
15.7b	7	`z`
16.9b	9	`t`
16.7b	10	`a`
19.2b	5	`b`
16.1b	3	`c`
19.6b	3	`(*.f64 a b)`
19.6b	3	`(*.f64 a b)`

Compiler

Compiled 140 to 98 computations (30% saved)

bsearch176.0ms (1.1%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
31.0ms	1.6320095734144689e-18	2.676250169398319e-18
30.0ms	7.327320089958261e-243	7.280134601137326e-242
40.0ms	-1.5283880744284696e-201	-1.0084016454778112e-201
30.0ms	-4.309850309758476e-166	-3.323314411429689e-166
31.0ms	-5.631268661282474e+34	-7.061157999366682e+33
15.0ms	-4.957562579206603e+143	-5.738639400238959e+134

Compiler

Compiled 66 to 51 computations (22.7% saved)

regimes372.0ms (2.2%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

9 calls:

58.0ms	x
55.0ms	t
49.0ms	z
49.0ms	a
34.0ms	c

Results

Error	Segments	Branch
18.6b	9	`x`
17.8b	4	`y`
16.1b	8	`z`
16.9b	9	`t`
17.9b	8	`a`
19.2b	5	`b`
16.1b	3	`c`
19.6b	3	`(*.f64 a b)`
19.6b	3	`(*.f64 a b)`

Compiler

Compiled 131 to 95 computations (27.5% saved)

bsearch63.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
31.0ms	1.954156676798629e-44	2.2210073295318824e-39
32.0ms	-1030405013769350.9	-319338325737142.8

Compiler

Compiled 34 to 26 computations (23.5% saved)

regimes425.0ms (2.5%)

Counts

9 → 8

Calls

Call 1

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

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

Calls

7 calls:

105.0ms	x
80.0ms	z
58.0ms	y
48.0ms	c
43.0ms	a

Results

Error	Segments	Branch
18.9b	9	`x`
17.8b	4	`y`
17.0b	8	`z`
20.4b	5	`t`
17.9b	8	`a`
19.6b	7	`b`
19.8b	8	`c`

Compiler

Compiled 102 to 75 computations (26.5% saved)

bsearch367.0ms (2.2%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
35.0ms	1.6320095734144689e-18	2.676250169398319e-18
59.0ms	7.327320089958261e-243	7.280134601137326e-242
52.0ms	-1.5283880744284696e-201	-1.0084016454778112e-201
34.0ms	-4.309850309758476e-166	-3.323314411429689e-166
65.0ms	-5.631268661282474e+34	-7.061157999366682e+33
29.0ms	-6.69599741652044e+147	-6.261771155207202e+147
93.0ms	-4.342248702314076e+189	-9.647059131200071e+188

Compiler

Compiled 230 to 180 computations (21.7% saved)

regimes218.0ms (1.3%)

Counts

8 → 10

Calls

Call 1

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

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

Calls

7 calls:

50.0ms	z
41.0ms	c
40.0ms	t
27.0ms	a
25.0ms	b

Results

Error	Segments	Branch
22.4b	3	`x`
19.0b	3	`y`
18.3b	10	`z`
22.4b	7	`t`
20.0b	5	`a`
21.6b	5	`b`
20.8b	8	`c`

Compiler

Compiled 95 to 71 computations (25.3% saved)

bsearch510.0ms (3%)

Algorithm

9×	binary-search

Steps

Time	Left	Right
28.0ms	1.6320095734144689e-18	2.676250169398319e-18
27.0ms	7.327320089958261e-243	7.280134601137326e-242
43.0ms	-1.5283880744284696e-201	-1.0084016454778112e-201
28.0ms	-4.309850309758476e-166	-3.323314411429689e-166
141.0ms	-7.498614785942309e+124	-8.723279375879822e+121
83.0ms	-1.5775869523172168e+184	-5.873000759135115e+181
80.0ms	-1.183823957843325e+198	-2.8160906878674617e+191
59.0ms	-1.520527001623849e+217	-1.1062101150888598e+212
21.0ms	-7.452454075662943e+274	-3.53018879340967e+274

Compiler

Compiled 1098 to 879 computations (19.9% saved)

regimes664.0ms (4%)

Counts

7 → 7

Calls

Call 1

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

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

Calls

7 calls:

331.0ms	a
190.0ms	y
47.0ms	c
45.0ms	z
24.0ms	b

Results

Error	Segments	Branch
27.9b	1	`x`
23.7b	7	`y`
25.7b	3	`z`
24.3b	4	`t`
24.2b	6	`a`
25.4b	4	`b`
22.4b	7	`c`

Compiler

Compiled 88 to 67 computations (23.9% saved)

bsearch355.0ms (2.1%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
50.0ms	1.858955287069624e-13	3.602587979800786e-13
31.0ms	7.988255152288084e-64	1.8584129972047963e-63
32.0ms	9.071441797738179e-153	1.3739647637373466e-151
29.0ms	-2.4599239581111038e-164	-1.0923153286640717e-171
30.0ms	-3.565656893866856e-110	-4.308845484735725e-114
182.0ms	-1.4429671700944535e-28	-5.44936909709032e-29

Compiler

Compiled 34 to 26 computations (23.5% saved)

regimes780.0ms (4.6%)

Counts

6 → 5

Calls

Call 1

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

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

Calls

7 calls:

229.0ms	t
222.0ms	y
125.0ms	b
76.0ms	x
66.0ms	z

Results

Error	Segments	Branch
36.6b	7	`x`
30.9b	11	`y`
32.4b	9	`z`
33.5b	10	`t`
35.8b	7	`a`
32.8b	9	`b`
30.3b	5	`c`

Compiler

Compiled 83 to 66 computations (20.5% saved)

bsearch248.0ms (1.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
74.0ms	1.858955287069624e-13	3.602587979800786e-13
60.0ms	1.3611566773576137e-85	1.7407817868659472e-83
57.0ms	9.071441797738179e-153	1.3739647637373466e-151
56.0ms	-319338325737142.8	-5866577189389.398

Compiler

Compiled 34 to 26 computations (23.5% saved)

regimes219.0ms (1.3%)

Counts

3 → 3

Calls

Call 1

Inputs
c
c
(*.f64 y x)

Outputs
c
(*.f64 y x)
c

Calls

7 calls:

36.0ms	z
35.0ms	x
35.0ms	a
30.0ms	b
28.0ms	t

Results

Error	Segments	Branch
38.0b	5	`x`
35.4b	5	`y`
37.7b	4	`z`
39.8b	3	`t`
39.8b	5	`a`
38.8b	4	`b`
34.3b	3	`c`

Compiler

Compiled 68 to 57 computations (16.2% saved)

bsearch58.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	8.026464602532605e+35	6.378344954856724e+37
29.0ms	-1030405013769350.9	-319338325737142.8

Compiler

Compiled 34 to 26 computations (23.5% saved)

regimes30.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
c
c

Outputs
c

Calls

7 calls:

7.0ms	t
4.0ms	x
3.0ms	a
3.0ms	z
3.0ms	c

Results

Error	Segments	Branch
42.2b	1	`x`
42.2b	1	`y`
42.2b	1	`z`
42.2b	1	`t`
42.2b	1	`a`
42.2b	1	`b`
42.2b	1	`c`

Compiler

Compiled 65 to 56 computations (13.8% saved)

simplify101.0ms (0.6%)

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	161	1085
1	194	1085
2	214	1085
3	226	1085
4	234	1085
5	239	1085
6	241	1085

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) -200000000) (-.f64 (+.f64 c (.f64 1/16 (.f64 t z))) (.f64 1/4 (.f64 a b))) (if (<=.f64 (.f64 a b) 7378697629483821/36893488147419103232) (+.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) -200000000) (-.f64 (+.f64 c (.f64 y x)) (.f64 1/4 (.f64 a b))) (if (<=.f64 (.f64 a b) 7378697629483821/36893488147419103232) (+.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 c -10485742653137264640/340282366920938463463374607431768211456) (-.f64 (+.f64 c (.f64 y x)) (.f64 1/4 (.f64 a b))) (if (<=.f64 c -6034172857212885/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (-.f64 (.f64 1/16 (.f64 t z)) (.f64 1/4 (.f64 a b))) (if (<=.f64 c -6379682976528363/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336) (-.f64 (+.f64 c (.f64 y x)) (.f64 1/4 (.f64 a b))) (if (<=.f64 c 5281813482675501/23562723457267347065789548996709904988477547858392600710143027597506337283178622239730365539602600561360255566462503270175052892578043215543382498428777152430442793326983968886135484527574528048424954488695685876133154086235991294800548739224807307629474678136450095282906365419648413375507379824836506306113175552) (-.f64 (.f64 1/16 (.f64 t z)) (.f64 1/4 (.f64 a b))) (if (<=.f64 c 5369702857601195/921377545122446619199598286374089084696513969828232526459034741270904336521520715841339532514076847544303802497745079321233052888165232576308943909041185557531590656) (-.f64 (+.f64 c (.f64 y x)) (.f64 1/4 (.f64 a b))) (if (<=.f64 c 6480441983613819/107262463439540776796592199985646769019834926564739147021788491549774112240588375814414994385335227421520254865491888406830031062495572559571469192048672768) (-.f64 (.f64 1/16 (.f64 t z)) (.f64 1/4 (.f64 a b))) (if (<=.f64 c 1962630442744023/100433627766186892221372630771322662657637687111424552206336) (-.f64 (+.f64 c (.f64 y x)) (.f64 1/4 (.f64 a b))) (if (<=.f64 c 28542642593559192/79228162514264337593543950336) (-.f64 (.f64 1/16 (.f64 t z)) (.f64 1/4 (.f64 a b))) (if (<=.f64 c 25037512526590506891102884311884710330523384106895664327119899211722604441035819935909598836670831564949638782910464) (-.f64 (+.f64 c (.f64 y x)) (.f64 1/4 (.f64 a b))) (+.f64 (.f64 1/16 (*.f64 t z)) c))))))))))
(if (<=.f64 c -10485742653137264640/340282366920938463463374607431768211456) (+.f64 (.f64 y x) c) (if (<=.f64 c 5281813482675501/23562723457267347065789548996709904988477547858392600710143027597506337283178622239730365539602600561360255566462503270175052892578043215543382498428777152430442793326983968886135484527574528048424954488695685876133154086235991294800548739224807307629474678136450095282906365419648413375507379824836506306113175552) (-.f64 (.f64 1/16 (.f64 t z)) (.f64 1/4 (.f64 a b))) (if (<=.f64 c 5369702857601195/921377545122446619199598286374089084696513969828232526459034741270904336521520715841339532514076847544303802497745079321233052888165232576308943909041185557531590656) (-.f64 (.f64 y x) (.f64 1/4 (.f64 a b))) (if (<=.f64 c 6480441983613819/107262463439540776796592199985646769019834926564739147021788491549774112240588375814414994385335227421520254865491888406830031062495572559571469192048672768) (-.f64 (.f64 1/16 (.f64 t z)) (.f64 1/4 (.f64 a b))) (if (<=.f64 c 1962630442744023/100433627766186892221372630771322662657637687111424552206336) (-.f64 (.f64 y x) (.f64 1/4 (.f64 a b))) (if (<=.f64 c 28542642593559192/79228162514264337593543950336) (-.f64 (.f64 1/16 (.f64 t z)) (.f64 1/4 (.f64 a b))) (if (<=.f64 c 2934315493569885/281474976710656) (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (if (<=.f64 c 25037512526590506891102884311884710330523384106895664327119899211722604441035819935909598836670831564949638782910464) (+.f64 (.f64 y x) c) (+.f64 (.f64 1/16 (*.f64 t z)) c)))))))))
(if (<=.f64 z -100000000000000005928380124081487003706362488767045328864850074482999577828473980652023296508018124569151792237293382948229697163514582401024) (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (if (<=.f64 z -56312686612824744422852399596568576) (+.f64 (.f64 1/16 (.f64 t z)) c) (if (<=.f64 z -457825048573167808/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (+.f64 (.f64 a (.f64 b -1/4)) c) (if (<=.f64 z -8430057141619477/5515652263101987298728728207430913795608113109085112352897269396216198887424215820128660001943808587833784893551335930816647064191168732319583111500951066614122648616177179922993422016587311577585463592732098692120576) (+.f64 (.f64 y x) c) (if (<=.f64 z 901283494058400384/123003155723136208567847447683223664415731869180715065944930703618254955521953492303010368693540149343822709050322214299552689203876695953600699775494388206142090885899729347827083318884583758435450548517566916626912548274908112766882031433928533568160966639616) (+.f64 (.f64 a (.f64 b -1/4)) c) (if (<=.f64 z 8473878181138711/5192296858534827628530496329220096) (+.f64 (.f64 y x) c) (+.f64 (.f64 1/16 (*.f64 t z)) c)))))))
(if (<=.f64 c -8243240110154807/8) (+.f64 (.f64 y x) c) (if (<=.f64 c 1962630442744023/100433627766186892221372630771322662657637687111424552206336) (-.f64 (.f64 y x) (.f64 1/4 (.f64 a b))) (+.f64 (.f64 1/16 (.f64 t z)) c)))
(if (<=.f64 z -4299999999999999975635091865048580630147043857038711866785753135459901458590140015674163173266254687618163726762989374246540804478414586403884410628235262814788657604273949331360170605805568) (+.f64 (.f64 1/16 (.f64 t z)) c) (if (<=.f64 z -6399999999999999575255470718237583495105260436342155685051264249319671913609178896595104797012803490113137732795544498627705964315353581643374788608) (+.f64 (.f64 y x) c) (if (<=.f64 z -56312686612824744422852399596568576) (+.f64 (.f64 1/16 (.f64 t z)) c) (if (<=.f64 z -457825048573167808/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (+.f64 (.f64 a (.f64 b -1/4)) c) (if (<=.f64 z -8430057141619477/5515652263101987298728728207430913795608113109085112352897269396216198887424215820128660001943808587833784893551335930816647064191168732319583111500951066614122648616177179922993422016587311577585463592732098692120576) (+.f64 (.f64 y x) c) (if (<=.f64 z 901283494058400384/123003155723136208567847447683223664415731869180715065944930703618254955521953492303010368693540149343822709050322214299552689203876695953600699775494388206142090885899729347827083318884583758435450548517566916626912548274908112766882031433928533568160966639616) (+.f64 (.f64 a (.f64 b -1/4)) c) (if (<=.f64 z 8473878181138711/5192296858534827628530496329220096) (+.f64 (.f64 y x) c) (+.f64 (.f64 1/16 (*.f64 t z)) c))))))))
(if (<=.f64 z -74000000000000005329154287896123828462849068100255319692889139376883597147994084501062510197531142212396829168421840152700087222656680036705589158438115078591270572463319592083329820222772812772497304916133129350179239272876364366599949636108291601303794481385966793838821376) (.f64 z (.f64 1/16 t)) (if (<=.f64 z -111999999999999998844652419634287680187890419524674334463398631092353853464446522752325159492740742654662959477989507953715641119876526037740545267866292111307751862389696237361504863877374600065528885309280878592) (+.f64 (.f64 y x) c) (if (<=.f64 z -1160000000000000009718468360247162654391668432556179553337263447185517759885512540310737977750521808854434335210648746389172183157876716117068162574036473589467359864274736293069068292858726380994560) (.f64 z (.f64 1/16 t)) (if (<=.f64 z -58999999999999997320842807245041141030812407848483453900744867530557141230157390521033661784585124740940466946347151954414625344979092118394373555557209546967993071568534329251332096) (+.f64 (.f64 a (.f64 b -1/4)) c) (if (<=.f64 z -74000000000000001579783811437926283932326658607362609368577670625964177748373237426549534886858174507258179412307366606012416) (+.f64 (.f64 y x) c) (if (<=.f64 z -457825048573167808/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (+.f64 (.f64 a (.f64 b -1/4)) c) (if (<=.f64 z -8430057141619477/5515652263101987298728728207430913795608113109085112352897269396216198887424215820128660001943808587833784893551335930816647064191168732319583111500951066614122648616177179922993422016587311577585463592732098692120576) (+.f64 (.f64 y x) c) (if (<=.f64 z 901283494058400384/123003155723136208567847447683223664415731869180715065944930703618254955521953492303010368693540149343822709050322214299552689203876695953600699775494388206142090885899729347827083318884583758435450548517566916626912548274908112766882031433928533568160966639616) (+.f64 (.f64 a (.f64 b -1/4)) c) (if (<=.f64 z 8473878181138711/5192296858534827628530496329220096) (+.f64 (.f64 y x) c) (.f64 z (.f64 1/16 t)))))))))))
(if (<=.f64 c -6435848638024241/44601490397061246283071436545296723011960832) (+.f64 (.f64 y x) c) (if (<=.f64 c -6034172857212885/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (.f64 z (.f64 1/16 t)) (if (<=.f64 c -6379682976528363/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336) (+.f64 (.f64 y x) c) (if (<=.f64 c 8558820120904865/943490606205385338060388645247067222729230305104110107094051575061406040598037213021531681294414691885367093757690961224942646157481198158140358562858174010912348831744) (.f64 a (.f64 b -1/4)) (if (<=.f64 c 5919851222042833/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (+.f64 (.f64 y x) c) (if (<=.f64 c 14728161159070308/79228162514264337593543950336) (.f64 a (.f64 b -1/4)) (+.f64 (.f64 y x) c)))))))
(if (<=.f64 c -5109413211794285/16) c (if (<=.f64 c 8558820120904865/943490606205385338060388645247067222729230305104110107094051575061406040598037213021531681294414691885367093757690961224942646157481198158140358562858174010912348831744) (.f64 a (.f64 b -1/4)) (if (<=.f64 c 4763505486549883/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184) (.f64 y x) (if (<=.f64 c 14728161159070308/79228162514264337593543950336) (.f64 a (*.f64 b -1/4)) c))))
(if (<=.f64 c -8243240110154807/8) c (if (<=.f64 c 802646460253260500391854315401117696) (*.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) -200000000) (-.f64 (+.f64 c (.f64 1/16 (.f64 t z))) (.f64 1/4 (.f64 a b))) (if (<=.f64 (.f64 a b) 7378697629483821/36893488147419103232) (+.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) -200000000) (+.f64 (+.f64 c (.f64 1/16 (.f64 t z))) (.f64 -1/4 (.f64 a b))) (if (<=.f64 (.f64 a b) 7378697629483821/36893488147419103232) (+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 y x))) (+.f64 (+.f64 c (.f64 y x)) (.f64 -1/4 (.f64 a b)))))
(if (<=.f64 (.f64 a b) -200000000) (-.f64 (+.f64 c (.f64 y x)) (.f64 1/4 (.f64 a b))) (if (<=.f64 (.f64 a b) 7378697629483821/36893488147419103232) (+.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) -200000000) (+.f64 (+.f64 c (.f64 y x)) (.f64 -1/4 (.f64 a b))) (if (<=.f64 (.f64 a b) 7378697629483821/36893488147419103232) (+.f64 c (+.f64 (.f64 1/16 (.f64 t z)) (.f64 y x))) (+.f64 (+.f64 c (.f64 y x)) (.f64 -1/4 (*.f64 a b)))))
(if (<=.f64 c -10485742653137264640/340282366920938463463374607431768211456) (-.f64 (+.f64 c (.f64 y x)) (.f64 1/4 (.f64 a b))) (if (<=.f64 c -6034172857212885/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (-.f64 (.f64 1/16 (.f64 t z)) (.f64 1/4 (.f64 a b))) (if (<=.f64 c -6379682976528363/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336) (-.f64 (+.f64 c (.f64 y x)) (.f64 1/4 (.f64 a b))) (if (<=.f64 c 5281813482675501/23562723457267347065789548996709904988477547858392600710143027597506337283178622239730365539602600561360255566462503270175052892578043215543382498428777152430442793326983968886135484527574528048424954488695685876133154086235991294800548739224807307629474678136450095282906365419648413375507379824836506306113175552) (-.f64 (.f64 1/16 (.f64 t z)) (.f64 1/4 (.f64 a b))) (if (<=.f64 c 5369702857601195/921377545122446619199598286374089084696513969828232526459034741270904336521520715841339532514076847544303802497745079321233052888165232576308943909041185557531590656) (-.f64 (+.f64 c (.f64 y x)) (.f64 1/4 (.f64 a b))) (if (<=.f64 c 6480441983613819/107262463439540776796592199985646769019834926564739147021788491549774112240588375814414994385335227421520254865491888406830031062495572559571469192048672768) (-.f64 (.f64 1/16 (.f64 t z)) (.f64 1/4 (.f64 a b))) (if (<=.f64 c 1962630442744023/100433627766186892221372630771322662657637687111424552206336) (-.f64 (+.f64 c (.f64 y x)) (.f64 1/4 (.f64 a b))) (if (<=.f64 c 28542642593559192/79228162514264337593543950336) (-.f64 (.f64 1/16 (.f64 t z)) (.f64 1/4 (.f64 a b))) (if (<=.f64 c 25037512526590506891102884311884710330523384106895664327119899211722604441035819935909598836670831564949638782910464) (-.f64 (+.f64 c (.f64 y x)) (.f64 1/4 (.f64 a b))) (+.f64 (.f64 1/16 (*.f64 t z)) c))))))))))
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(if (<=.f64 c -10485742653137264640/340282366920938463463374607431768211456) (+.f64 (.f64 y x) c) (if (<=.f64 c 5281813482675501/23562723457267347065789548996709904988477547858392600710143027597506337283178622239730365539602600561360255566462503270175052892578043215543382498428777152430442793326983968886135484527574528048424954488695685876133154086235991294800548739224807307629474678136450095282906365419648413375507379824836506306113175552) (-.f64 (.f64 1/16 (.f64 t z)) (.f64 1/4 (.f64 a b))) (if (<=.f64 c 5369702857601195/921377545122446619199598286374089084696513969828232526459034741270904336521520715841339532514076847544303802497745079321233052888165232576308943909041185557531590656) (-.f64 (.f64 y x) (.f64 1/4 (.f64 a b))) (if (<=.f64 c 6480441983613819/107262463439540776796592199985646769019834926564739147021788491549774112240588375814414994385335227421520254865491888406830031062495572559571469192048672768) (-.f64 (.f64 1/16 (.f64 t z)) (.f64 1/4 (.f64 a b))) (if (<=.f64 c 1962630442744023/100433627766186892221372630771322662657637687111424552206336) (-.f64 (.f64 y x) (.f64 1/4 (.f64 a b))) (if (<=.f64 c 28542642593559192/79228162514264337593543950336) (-.f64 (.f64 1/16 (.f64 t z)) (.f64 1/4 (.f64 a b))) (if (<=.f64 c 2934315493569885/281474976710656) (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (if (<=.f64 c 25037512526590506891102884311884710330523384106895664327119899211722604441035819935909598836670831564949638782910464) (+.f64 (.f64 y x) c) (+.f64 (.f64 1/16 (*.f64 t z)) c)))))))))
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(if (<=.f64 c -6435848638024241/44601490397061246283071436545296723011960832) (+.f64 (.f64 y x) c) (if (<=.f64 c -6034172857212885/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (.f64 z (.f64 1/16 t)) (if (<=.f64 c -6379682976528363/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336) (+.f64 (.f64 y x) c) (if (<=.f64 c 8558820120904865/943490606205385338060388645247067222729230305104110107094051575061406040598037213021531681294414691885367093757690961224942646157481198158140358562858174010912348831744) (.f64 a (.f64 b -1/4)) (if (<=.f64 c 5919851222042833/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (+.f64 (.f64 y x) c) (if (<=.f64 c 14728161159070308/79228162514264337593543950336) (.f64 a (.f64 b -1/4)) (+.f64 (.f64 y x) c)))))))
(if (<=.f64 c -6435848638024241/44601490397061246283071436545296723011960832) (+.f64 c (.f64 y x)) (if (<=.f64 c -6034172857212885/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (.f64 z (.f64 1/16 t)) (if (<=.f64 c -6379682976528363/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336) (+.f64 c (.f64 y x)) (if (<=.f64 c 8558820120904865/943490606205385338060388645247067222729230305104110107094051575061406040598037213021531681294414691885367093757690961224942646157481198158140358562858174010912348831744) (.f64 a (.f64 b -1/4)) (if (<=.f64 c 5919851222042833/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (+.f64 c (.f64 y x)) (if (<=.f64 c 3682040289767577/19807040628566084398385987584) (.f64 a (.f64 b -1/4)) (+.f64 c (.f64 y x))))))))
(if (<=.f64 c -5109413211794285/16) c (if (<=.f64 c 8558820120904865/943490606205385338060388645247067222729230305104110107094051575061406040598037213021531681294414691885367093757690961224942646157481198158140358562858174010912348831744) (.f64 a (.f64 b -1/4)) (if (<=.f64 c 4763505486549883/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184) (.f64 y x) (if (<=.f64 c 14728161159070308/79228162514264337593543950336) (.f64 a (*.f64 b -1/4)) c))))
(if (<=.f64 c -5109413211794285/16) c (if (<=.f64 c 8558820120904865/943490606205385338060388645247067222729230305104110107094051575061406040598037213021531681294414691885367093757690961224942646157481198158140358562858174010912348831744) (.f64 a (.f64 b -1/4)) (if (<=.f64 c 4763505486549883/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184) (.f64 y x) (if (<=.f64 c 3682040289767577/19807040628566084398385987584) (.f64 a (*.f64 b -1/4)) c))))
(if (<=.f64 c -8243240110154807/8) c (if (<=.f64 c 802646460253260500391854315401117696) (*.f64 y x) c))
c

Compiler

Compiled 846 to 482 computations (43% saved)

soundness273.0ms (1.6%)

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	3091
1	71	3083
2	168	2945
3	442	2945
4	718	2945
5	1151	2945
6	2126	2945
7	2958	2945
8	3348	2945
9	3454	2945
10	3454	2945
11	3751	2945
12	3751	2945

Stop Event

1×

saturated

Compiler

Compiled 302 to 211 computations (30.1% saved)

end548.0ms (3.3%)

Remove

(sort a b)

(sort z t)

(sort x y)

Compiler

Compiled 881 to 443 computations (49.7% saved)