Details

analyze870.0ms (5.9%)

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)

sample3.0s (20.8%)

Results

1.9s	8256×	body	256	valid
1.1s	4108×	body	256	invalid

preprocess93.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1
2
3
4
5
6

Outputs
0
1
0
2
3
2
4
5
4
6

Call 2

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

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

Symmetry

(sort x y)

(sort z t)

(sort a b)

Compiler

Compiled 31 to 24 computations (22.6% saved)

simplify144.0ms (1%)

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

Compiler

Compiled 45 to 31 computations (31.1% saved)

localize29.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 76 to 32 computations (57.9% saved)

series21.0ms (0.1%)

Counts

3 → 144

Calls

36 calls:

Time	Variable		Expression
4.0ms	t	@	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
1.0ms	x	@	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
1.0ms	a	@	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
1.0ms	y	@	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
1.0ms	b	@	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))

rewrite128.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

677×	`fma-def_binary64`
360×	`fma-neg_binary64`
322×	`expm1-udef_binary64`
322×	`log1p-udef_binary64`
259×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	38
1	360	36
2	5148	36

Stop Event

1×	node limit

Counts

3 → 263

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 a b) 4)

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

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

simplify142.0ms (1%)

Algorithm

1×	egg-herbie

Rules

743×	`fma-def_binary64`
466×	`fma-neg_binary64`
156×	`cancel-sign-sub-inv_binary64`
95×	`distribute-rgt-neg-in_binary64`
76×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	1750
1	49	1746
2	109	1746
3	243	1746
4	382	1746
5	615	1746
6	1027	1746
7	1454	1746
8	1855	1746
9	2290	1746
10	2311	1746

Stop Event

1×

saturated

Counts

407 → 277

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 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))
(.f64 1/4 (.f64 a b))

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

localize36.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 53 to 25 computations (52.8% saved)

series28.0ms (0.2%)

Counts

2 → 120

Calls

30 calls:

Time	Variable		Expression
3.0ms	x	@	(fma.f64 x y (fma.f64 t (.f64 z 1/16) (fma.f64 (.f64 a b) -1/4 c)))
1.0ms	b	@	(fma.f64 x y (fma.f64 t (.f64 z 1/16) (fma.f64 (.f64 a b) -1/4 c)))
1.0ms	t	@	(fma.f64 x y (fma.f64 t (.f64 z 1/16) (fma.f64 (.f64 a b) -1/4 c)))
1.0ms	a	@	(fma.f64 x y (fma.f64 t (.f64 z 1/16) (fma.f64 (.f64 a b) -1/4 c)))
1.0ms	c	@	(fma.f64 x y (fma.f64 t (.f64 z 1/16) (fma.f64 (.f64 a b) -1/4 c)))

rewrite85.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	27
1	298	27
2	3406	27

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

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

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

Outputs

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

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

simplify44.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

98×	`fma-def_binary64`
16×	`associate-+l+_binary64`
15×	`+-commutative_binary64`
12×	`associate-+r+_binary64`
11×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	1814
1	53	1760
2	109	1622
3	195	1622
4	207	1622

Stop Event

1×

saturated

Counts

181 → 77

Calls

Call 1

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

eval141.0ms (1%)

Compiler: Compiled 8675 to 4656 computations (46.3% saved)

prune84.0ms (0.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	342	12	354
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	344	12	356

Error

Counts

356 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	49.7b	(*.f64 y x)
▶	16.9b	(+.f64 (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))) c)
▶	28.5b	(+.f64 (.f64 a (.f64 b -1/4)) c)
▶	47.9b	(.f64 1/16 (.f64 t z))
	30.2b	(+.f64 (.f64 (.f64 1/16 t) z) c)
	15.2b	(+.f64 (fma.f64 a (.f64 b -1/4) (.f64 y x)) c)
	15.2b	(+.f64 (-.f64 (.f64 y x) (.f64 1/4 (*.f64 a b))) c)
	31.9b	(+.f64 (*.f64 y x) c)
	44.9b	c
▶	0.0b	(+.f64 (+.f64 (.f64 z (.f64 t 1/16)) (fma.f64 x y (.f64 (.f64 a b) -1/4))) c)
	13.5b	(+.f64 (-.f64 (.f64 1/16 (.f64 t z)) (.f64 1/4 (.f64 a b))) c)
	46.3b	(.f64 -1/4 (.f64 a b))

Compiler

Compiled 348 to 263 computations (24.4% saved)

localize26.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 70 to 35 computations (50% saved)

series12.0ms (0.1%)

Counts

3 → 144

Calls

36 calls:

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

rewrite86.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

773×	`log-prod_binary64`
407×	`pow2_binary64`
394×	`fma-def_binary64`
283×	`pow1/3_binary64`
280×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	36
1	313	36
2	3905	36

Stop Event

1×	node limit

Counts

3 → 119

Calls

Call 1

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

Outputs

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

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

simplify40.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

42×	`fma-def_binary64`
11×	`*-commutative_binary64`
6×	`associate-r_binary64`
6×	`associate-l_binary64`
4×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	1746
1	36	1746
2	67	1746
3	101	1746

Stop Event

1×

saturated

Counts

263 → 131

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

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

localize6.0ms (0%)

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

localize7.0ms (0%)

Compiler: Compiled 18 to 11 computations (38.9% saved)

localize11.0ms (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	a	@	inf	(+.f64 (.f64 a (.f64 b -1/4)) c)
0.0ms	b	@	-inf	(+.f64 (.f64 a (.f64 b -1/4)) c)
0.0ms	b	@	inf	(+.f64 (.f64 a (.f64 b -1/4)) c)

rewrite60.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

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

simplify12.0ms (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)

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 44 to 19 computations (56.8% saved)

series9.0ms (0.1%)

Counts

2 → 72

Calls

27 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
0.0ms	c	@	0	(+.f64 (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))) c)
0.0ms	t	@	0	(+.f64 (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))) c)
0.0ms	y	@	0	(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
0.0ms	y	@	inf	(+.f64 (+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z))) c)

rewrite83.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 181

Calls

Call 1

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

Outputs

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

simplify25.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×

saturated

Counts

253 → 191

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))
(+.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))))

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

eval159.0ms (1.1%)

Compiler: Compiled 6657 to 3517 computations (47.2% saved)

prune83.0ms (0.6%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	358	4	362
Fresh	3	4	7
Picked	1	0	1
Done	0	4	4
Total	362	12	374

Error

Counts

374 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.2b	(+.f64 (.f64 (.f64 1/16 t) z) c)
▶	46.3b	(.f64 -1/4 (.f64 a b))
✓	47.9b	(.f64 1/16 (.f64 t z))
▶	34.9b	(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
✓	28.5b	(+.f64 (.f64 a (.f64 b -1/4)) c)
	44.9b	c
✓	49.7b	(*.f64 y x)
	15.2b	(+.f64 (fma.f64 a (.f64 b -1/4) (.f64 y x)) c)
	15.2b	(+.f64 (-.f64 (.f64 y x) (.f64 1/4 (*.f64 a b))) c)
▶	31.9b	(+.f64 (*.f64 y x) c)
✓	0.0b	(+.f64 (+.f64 (.f64 z (.f64 t 1/16)) (fma.f64 x y (.f64 (.f64 a b) -1/4))) c)
▶	13.5b	(+.f64 (-.f64 (.f64 1/16 (.f64 t z)) (.f64 1/4 (.f64 a b))) c)

Compiler

Compiled 285 to 216 computations (24.2% saved)

localize34.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 54 to 26 computations (51.9% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite56.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

552×	`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	1394	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 1/4 (.f64 a b))

Outputs

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

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

11 → 11

Calls

Call 1

Inputs

Outputs

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 11 computations (38.9% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite52.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

555×	`pow1_binary64`
513×	`add-log-exp_binary64`
513×	`log1p-expm1-u_binary64`
513×	`expm1-log1p-u_binary64`
503×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	121	7
2	1396	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

11 → 11

Calls

Call 1

Inputs

Outputs

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 9 computations (50% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(+.f64 (*.f64 y x) c)
0.0ms	y	@	inf	(+.f64 (*.f64 y x) c)
0.0ms	y	@	-inf	(+.f64 (*.f64 y x) c)
0.0ms	c	@	inf	(+.f64 (*.f64 y x) c)
0.0ms	x	@	inf	(+.f64 (*.f64 y x) c)

rewrite58.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify52.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

71 → 38

Calls

Call 1

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

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

localize11.0ms (0.1%)

Compiler: Compiled 26 to 17 computations (34.6% saved)

localize13.0ms (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)

eval35.0ms (0.2%)

Compiler: Compiled 1792 to 897 computations (49.9% saved)

prune118.0ms (0.8%)

Pruning

12 alts after pruning (3 fresh and 9 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	3	3
Picked	0	1	1
Done	0	8	8
Total	133	12	145

Error

Counts

145 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	30.2b	(+.f64 (.f64 (.f64 1/16 t) z) c)
✓	46.3b	(.f64 -1/4 (.f64 a b))
✓	47.9b	(.f64 1/16 (.f64 t z))
✓	34.9b	(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
✓	28.5b	(+.f64 (.f64 a (.f64 b -1/4)) c)
	44.9b	c
✓	49.7b	(*.f64 y x)
▶	15.2b	(+.f64 (fma.f64 a (.f64 b -1/4) (.f64 y x)) c)
▶	15.2b	(+.f64 (-.f64 (.f64 y x) (.f64 1/4 (*.f64 a b))) c)
✓	31.9b	(+.f64 (*.f64 y x) c)
✓	0.0b	(+.f64 (+.f64 (.f64 z (.f64 t 1/16)) (fma.f64 x y (.f64 (.f64 a b) -1/4))) c)
✓	13.5b	(+.f64 (-.f64 (.f64 1/16 (.f64 t z)) (.f64 1/4 (.f64 a b))) c)

Compiler

Compiled 176 to 134 computations (23.9% saved)

localize19.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 44 to 19 computations (56.8% 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	x	@	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	a	@	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)))

rewrite119.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 188

Calls

Call 1

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

Outputs

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

simplify39.0ms (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))

localize32.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 37 to 18 computations (51.4% saved)

series13.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	a	@	0	(fma.f64 a (.f64 b -1/4) (.f64 y x))
1.0ms	b	@	-inf	(fma.f64 a (.f64 b -1/4) (.f64 y x))
1.0ms	b	@	inf	(fma.f64 a (.f64 b -1/4) (.f64 y x))
1.0ms	a	@	inf	(fma.f64 a (.f64 b -1/4) (.f64 y x))
1.0ms	b	@	0	(fma.f64 a (.f64 b -1/4) (.f64 y x))

rewrite84.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

831×	`pow1_binary64`
762×	`add-log-exp_binary64`
762×	`log1p-expm1-u_binary64`
762×	`expm1-log1p-u_binary64`
745×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	178	11
2	2056	11

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify32.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

69 → 26

Calls

Call 1

Inputs
(*.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)))
(.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)))

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

eval170.0ms (1.2%)

Compiler: Compiled 5197 to 2782 computations (46.5% saved)

prune85.0ms (0.6%)

Pruning

12 alts after pruning (2 fresh and 10 done)

	Pruned	Kept	Total
New	228	1	229
Fresh	0	1	1
Picked	0	1	1
Done	1	9	10
Total	229	12	241

Error

Counts

241 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	30.2b	(+.f64 (.f64 (.f64 1/16 t) z) c)
✓	46.3b	(.f64 -1/4 (.f64 a b))
✓	47.9b	(.f64 1/16 (.f64 t z))
✓	34.9b	(+.f64 (.f64 y x) (.f64 1/16 (*.f64 t z)))
✓	28.5b	(+.f64 (.f64 a (.f64 b -1/4)) c)
	44.9b	c
✓	49.7b	(*.f64 y x)
✓	15.2b	(+.f64 (fma.f64 a (.f64 b -1/4) (.f64 y x)) c)
✓	15.2b	(+.f64 (-.f64 (.f64 y x) (.f64 1/4 (*.f64 a b))) c)
✓	31.9b	(+.f64 (*.f64 y x) c)
✓	13.5b	(+.f64 (-.f64 (.f64 1/16 (.f64 t z)) (.f64 1/4 (.f64 a b))) c)
	15.2b	(+.f64 (fma.f64 y x (.f64 (.f64 -1/4 a) b)) c)

Compiler

Compiled 170 to 130 computations (23.5% saved)

regimes302.0ms (2.1%)

Counts

19 → 1

Calls

Call 1

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

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

Calls

21 calls:

54.0ms	(/.f64 (*.f64 a b) 4)
22.0ms	z
13.0ms	(*.f64 a b)
13.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))
13.0ms	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)

Results

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

Compiler

Compiled 418 to 280 computations (33% saved)

regimes264.0ms (1.8%)

Counts

17 → 1

Calls

Call 1

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

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

Calls

15 calls:

22.0ms	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
21.0ms	c
20.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))
20.0ms	x
19.0ms	y

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 306 to 202 computations (34% saved)

regimes913.0ms (6.2%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

8 calls:

176.0ms	c
173.0ms	z
144.0ms	y
125.0ms	a
93.0ms	t

Results

Error	Segments	Branch
8.3b	3	`x`
5.1b	6	`y`
6.7b	5	`z`
6.3b	5	`t`
6.3b	5	`a`
5.6b	3	`b`
8.3b	8	`c`
3.3b	3	`(*.f64 a b)`

Compiler

Compiled 163 to 103 computations (36.8% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.9192926427794494e-37	2.570281216781467e-35
0.0ms	-8.017228504191385e-40	-3.522034016564217e-42

Compiler

Compiled 34 to 26 computations (23.5% saved)

regimes611.0ms (4.2%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

8 calls:

126.0ms	a
111.0ms	b
107.0ms	c
63.0ms	y
60.0ms	z

Results

Error	Segments	Branch
13.4b	3	`x`
10.0b	7	`y`
8.7b	3	`z`
7.4b	5	`t`
7.3b	5	`a`
6.8b	3	`b`
11.9b	5	`c`
4.3b	3	`(*.f64 a b)`

Compiler

Compiled 150 to 97 computations (35.3% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.9192926427794494e-37	2.570281216781467e-35
0.0ms	-4021.3851151185513	-0.0048160196860311056

Compiler

Compiled 34 to 26 computations (23.5% saved)

regimes443.0ms (3%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

9 calls:

142.0ms	b
70.0ms	c
55.0ms	y
45.0ms	t
34.0ms	z

Results

Error	Segments	Branch
15.0b	3	`x`
12.2b	7	`y`
13.1b	5	`z`
11.5b	7	`t`
10.4b	3	`a`
10.2b	3	`b`
14.0b	5	`c`
6.7b	3	`(*.f64 a b)`
6.7b	3	`(*.f64 a b)`

Compiler

Compiled 149 to 101 computations (32.2% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.757474798746457e+145	1.992038729281093e+147
0.0ms	-2.236671963921248e+66	-1.2451000047329343e+65

Compiler

Compiled 34 to 26 computations (23.5% saved)

regimes637.0ms (4.4%)

Counts

11 → 5

Calls

Call 1

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

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

Calls

9 calls:

129.0ms	x
94.0ms	a
86.0ms	y
77.0ms	z
65.0ms	b

Results

Error	Segments	Branch
17.2b	12	`x`
18.6b	8	`y`
16.7b	10	`z`
17.9b	8	`t`
15.1b	13	`a`
15.9b	8	`b`
16.6b	6	`c`
14.7b	5	`(*.f64 a b)`
14.7b	5	`(*.f64 a b)`

Compiler

Compiled 138 to 97 computations (29.7% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	1.8502545911314142e+132	2.2366529278156055e+139
0.0ms	7.089319235141773e-108	3.22895879559844e-107
0.0ms	5.903869710883699e-277	1.6657527188364975e-260
0.0ms	-0.0048160196860311056	-0.0013505909939933029

Compiler

Compiled 34 to 26 computations (23.5% saved)

regimes622.0ms (4.3%)

Counts

10 → 4

Calls

Call 1

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

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

Calls

9 calls:

130.0ms	y
103.0ms	x
90.0ms	c
74.0ms	a
64.0ms	t

Results

Error	Segments	Branch
20.4b	7	`x`
19.1b	8	`y`
21.1b	5	`z`
19.7b	6	`t`
18.7b	7	`a`
17.8b	7	`b`
22.3b	8	`c`
16.1b	4	`(*.f64 a b)`
16.1b	4	`(*.f64 a b)`

Compiler

Compiled 129 to 94 computations (27.1% saved)

bsearch1.0ms (0%)

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.8502545911314142e+132	2.2366529278156055e+139
0.0ms	2.5194259662744034e-201	2.4113196655015576e-182
0.0ms	-0.0048160196860311056	-0.0013505909939933029

Compiler

Compiled 34 to 26 computations (23.5% saved)

regimes382.0ms (2.6%)

Counts

8 → 11

Calls

Call 1

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

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

Calls

8 calls:

109.0ms	a
64.0ms	b
47.0ms	c
43.0ms	z
41.0ms	y

Results

Error	Segments	Branch
22.6b	6	`x`
22.5b	7	`y`
22.6b	7	`z`
24.0b	4	`t`
18.9b	11	`a`
20.6b	8	`b`
24.7b	8	`c`
19.2b	4	`(*.f64 a b)`

Compiler

Compiled 105 to 78 computations (25.7% saved)

bsearch613.0ms (4.2%)

Algorithm

10×	binary-search

Steps

Time	Left	Right
50.0ms	2.6715433241117683e-52	1.3712825036998435e-48
28.0ms	3.768756689219377e-108	3.9979717629709785e-103
86.0ms	6.306334043006772e-226	3.1624063188788233e-224
30.0ms	-7.362954760483954e-71	-2.787867303591228e-74
45.0ms	-2.471107756728202e+32	-9.80153409838117e+29
80.0ms	-2.3422875798883742e+82	-6.94798195936186e+79
131.0ms	-9.581794045592719e+113	-6.385182149998339e+112
47.0ms	-6.630740875986476e+148	-3.688472305718761e+148
82.0ms	-1.3194534390594612e+167	-3.7288609825010064e+164
35.0ms	-5.232051829631868e+225	-7.047731783368043e+224

Compiler

Compiled 930 to 748 computations (19.6% saved)

regimes398.0ms (2.7%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

8 calls:

78.0ms	c
64.0ms	b
55.0ms	y
55.0ms	a
52.0ms	t

Results

Error	Segments	Branch
27.7b	7	`x`
26.9b	10	`y`
28.0b	5	`z`
27.0b	4	`t`
25.7b	5	`a`
24.2b	7	`b`
25.6b	8	`c`
23.3b	3	`(*.f64 a b)`

Compiler

Compiled 98 to 74 computations (24.5% saved)

bsearch51.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
26.0ms	1.8502545911314142e+132	2.2366529278156055e+139
25.0ms	-2099715899163.9316	-14056761769.974148

Compiler

Compiled 34 to 26 computations (23.5% saved)

regimes386.0ms (2.6%)

Counts

5 → 9

Calls

Call 1

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

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

Calls

8 calls:

85.0ms	b
58.0ms	a
53.0ms	z
45.0ms	c
39.0ms	t

Results

Error	Segments	Branch
33.9b	8	`x`
35.2b	8	`y`
33.6b	11	`z`
35.1b	7	`t`
34.6b	8	`a`
32.9b	9	`b`
28.3b	9	`c`
32.0b	5	`(*.f64 a b)`

Compiler

Compiled 88 to 71 computations (19.3% saved)

bsearch298.0ms (2%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
50.0ms	2.1310447316832408e+95	2.6728310053132577e+109
50.0ms	1.8164749068948907e-135	2.2973718093965923e-126
56.0ms	1.1646438868516092e-138	1.326504201586425e-138
0.0ms	2.403543030466903e-251	2.4079706131776403e-251
52.0ms	-5.060133980753096e-213	-6.709957321002666e-214
31.0ms	-1.9809121217740214e-205	-6.655180254126574e-207
28.0ms	-1.4465633422366057e-79	-1.480730781637845e-87
29.0ms	-2.5782063796243405e+79	-5.403417659092004e+76

Compiler

Compiled 34 to 26 computations (23.5% saved)

regimes235.0ms (1.6%)

Counts

4 → 7

Calls

Call 1

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

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

Calls

8 calls:

46.0ms	c
44.0ms	(*.f64 a b)
33.0ms	y
29.0ms	b
23.0ms	x

Results

Error	Segments	Branch
35.2b	6	`x`
35.4b	8	`y`
41.8b	4	`z`
39.5b	6	`t`
37.3b	5	`a`
34.7b	8	`b`
30.4b	7	`c`
32.1b	5	`(*.f64 a b)`

Compiler

Compiled 83 to 68 computations (18.1% saved)

bsearch227.0ms (1.5%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
55.0ms	2.1310447316832408e+95	2.6728310053132577e+109
47.0ms	1.8827461551199224e-81	1.3627902049290789e-80
40.0ms	2.4079706131776403e-251	5.369993741970903e-248
28.0ms	-1.9809121217740214e-205	-6.655180254126574e-207
27.0ms	-1.4465633422366057e-79	-1.480730781637845e-87
28.0ms	-2.5782063796243405e+79	-5.403417659092004e+76

Compiler

Compiled 34 to 26 computations (23.5% saved)

regimes216.0ms (1.5%)

Counts

3 → 3

Calls

Call 1

Inputs
c
c
(*.f64 y x)

Outputs
c
(*.f64 y x)
c

Calls

7 calls:

38.0ms	c
37.0ms	z
36.0ms	x
36.0ms	b
29.0ms	y

Results

Error	Segments	Branch
39.2b	3	`x`
39.9b	3	`y`
42.5b	5	`z`
43.9b	2	`t`
43.5b	3	`a`
42.0b	4	`b`
36.4b	3	`c`

Compiler

Compiled 68 to 57 computations (16.2% saved)

bsearch399.0ms (2.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
67.0ms	3.152139323994346e+48	1.6127386369793882e+50
332.0ms	-7.749278650994567e+101	-2.3944661722331477e+100

Compiler

Compiled 34 to 26 computations (23.5% saved)

regimes389.0ms (2.7%)

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:

170.0ms	y
151.0ms	c
36.0ms	t
7.0ms	z
7.0ms	x

Results

Error	Segments	Branch
44.9b	1	`x`
44.9b	1	`y`
44.9b	1	`z`
44.9b	1	`t`
44.9b	1	`a`
44.9b	1	`b`
44.9b	1	`c`

Compiler

Compiled 65 to 56 computations (13.8% saved)

simplify90.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

19×	`+-commutative_binary64`
16×	`*-commutative_binary64`
8×	`sub-neg_binary64`
5×	`neg-sub0_binary64`
5×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	152	757
1	183	757
2	198	757
3	210	757
4	218	757
5	223	757
6	225	757

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 (.f64 z (.f64 t 1/16)) (fma.f64 x y (.f64 (.f64 a b) -1/4))) c)
(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
(if (<=.f64 (.f64 a b) -3138550867693340160/6277101735386680763835789423207666416102355444464034512896) (+.f64 (-.f64 (.f64 1/16 (.f64 t z)) (.f64 1/4 (.f64 a b))) c) (if (<=.f64 (.f64 a b) 2993155353253689/5986310706507378352962293074805895248510699696029696) (+.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) c) (+.f64 (-.f64 (.f64 y x) (.f64 1/4 (.f64 a b))) c)))
(if (<=.f64 (.f64 a b) -4000) (+.f64 (-.f64 (.f64 y x) (.f64 1/4 (.f64 a b))) c) (if (<=.f64 (.f64 a b) 2993155353253689/5986310706507378352962293074805895248510699696029696) (+.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) c) (+.f64 (-.f64 (.f64 y x) (.f64 1/4 (*.f64 a b))) c)))
(if (<=.f64 (.f64 a b) -1999999999999999890644667736494890251419293140042495849331683229696) (+.f64 (.f64 a (.f64 b -1/4)) c) (if (<=.f64 (.f64 a b) 19999999999999999781741223642818392253569612520802717890360030929450604798220516297708225612915260122593317856641907797168065523046908674225209344) (+.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) c) (+.f64 (.f64 a (*.f64 b -1/4)) c)))
(if (<=.f64 (.f64 a b) -73786976294838208/18446744073709551616) (+.f64 (.f64 a (.f64 b -1/4)) c) (if (<=.f64 (.f64 a b) 9745314011400/9745314011399999080353382387875188310876226857595007526867906457212948690766426102465615065882010259225304916231408668183459169865203094046577987296312653419531277699956473029870789655490053648352799593479218378873685597925394874945746363615468965612827738803104277547081828589991914110976) (+.f64 (.f64 (.f64 1/16 t) z) c) (if (<=.f64 (.f64 a b) 1692303280103036416/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (if (<=.f64 (.f64 a b) 1999999999999999981659134804722553127373217699964969823968184453035338303331199272402085867973083140739204506351659965449978924498944) (+.f64 (.f64 y x) c) (+.f64 (.f64 a (.f64 b -1/4)) c)))))
(if (<=.f64 (.f64 a b) -73786976294838208/18446744073709551616) (+.f64 (.f64 a (.f64 b -1/4)) c) (if (<=.f64 (.f64 a b) 1723641332219371/344728266443874206170545512964432112225507069317819522056079337263512430464013488758041250121488036739611555846958495676040441511948045769973944468809441663382665538511073745187088876036706973599091474545756168257536) (+.f64 (.f64 (.f64 1/16 t) z) c) (if (<=.f64 (.f64 a b) 1999999999999999981659134804722553127373217699964969823968184453035338303331199272402085867973083140739204506351659965449978924498944) (+.f64 (.f64 y x) c) (+.f64 (.f64 a (.f64 b -1/4)) c))))
(if (<=.f64 a -5200000000000000088223853318392622260755570736732990180843986970861978797891350425686629770591527993708052373291650390259133094954889648013959055702358117088481938303368222577845389980563136901651191469244846154921226304225280) (.f64 -1/4 (.f64 a b)) (if (<=.f64 a -380000000000000021136364279814295666337777446901639993654678593295647045092172874136614336566496293199970285774540699488488244852170632576732115508143447683446603776) (+.f64 (.f64 (.f64 1/16 t) z) c) (if (<=.f64 a -64999999999999994665845927045640589047306381541945215811693058793852418209856737502363391822191056167750973652381384074347673066281295380503035117568) (.f64 -1/4 (.f64 a b)) (if (<=.f64 a -64999999999999997593782790941888664745398360928585609804707851957359763860442548196672489095453204062214069157888) (+.f64 (.f64 (.f64 1/16 t) z) c) (if (<=.f64 a -22999999999999998821356987611656123252024740830383822505000531558125142939753512960) (+.f64 (.f64 y x) c) (if (<=.f64 a -247110775672820204797860144742400) (+.f64 (.f64 (.f64 1/16 t) z) c) (if (<=.f64 a -36617684910227256/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (+.f64 (.f64 y x) c) (if (<=.f64 a 4205072641733072/6668014432879854274079851790721257797144758322315908160396257811764037237817632071521432200871554290742929910593433240445888801654119365080363356052330830046095157579514014558463078285911814024728965016135886601981690748037476461291163877376) (+.f64 (.f64 (.f64 1/16 t) z) c) (if (<=.f64 a 637787930707621120/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (+.f64 (.f64 y x) c) (if (<=.f64 a 7202466553703561/26959946667150639794667015087019630673637144422540572481103610249216) (+.f64 (.f64 (.f64 1/16 t) z) c) (.f64 -1/4 (*.f64 a b))))))))))))
(if (<=.f64 (.f64 a b) -1075054540371933/512) (.f64 -1/4 (.f64 a b)) (if (<=.f64 (.f64 a b) 1850254591131414244246201458715440429303190721155141822641003257093926162320422442381233898591571073670111938298657862958728702066688) (+.f64 (.f64 y x) c) (.f64 -1/4 (*.f64 a b))))
(if (<=.f64 c -25782063796243405424763154577054365938832509327350920479958645898077286443253760) c (if (<=.f64 c -308984054565581248/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (.f64 -1/4 (.f64 a b)) (if (<=.f64 c -71604780580661104/361473786714651839609485931802192366508973300717001923159475447150424810286233407987951861887389439612274926783780351561999781998832434041296198795326329101623141899709787663433296905279066051548640942013290819886814068736) (.f64 y x) (if (<=.f64 c -7855949554584788992/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856) (.f64 -1/4 (.f64 a b)) (if (<=.f64 c 12705483473812748288/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336) (.f64 1/16 (.f64 t z)) (if (<=.f64 c 15615321541688174/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (.f64 y x) (if (<=.f64 c 2973015949854377/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688) (.f64 1/16 (.f64 t z)) (if (<=.f64 c 213104473168324077466255724376091540084797330047788524599591426004146709096772646316503530995712) (.f64 -1/4 (.f64 a b)) c))))))))
(if (<=.f64 c -25782063796243405424763154577054365938832509327350920479958645898077286443253760) c (if (<=.f64 c -308984054565581248/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (.f64 -1/4 (.f64 a b)) (if (<=.f64 c -71604780580661104/361473786714651839609485931802192366508973300717001923159475447150424810286233407987951861887389439612274926783780351561999781998832434041296198795326329101623141899709787663433296905279066051548640942013290819886814068736) (.f64 y x) (if (<=.f64 c 12721177060771418112/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336) (.f64 -1/4 (.f64 a b)) (if (<=.f64 c 4021521379266093/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (.f64 y x) (if (<=.f64 c 213104473168324077466255724376091540084797330047788524599591426004146709096772646316503530995712) (.f64 -1/4 (.f64 a b)) c))))))
(if (<=.f64 c -774927865099456679368832490555315886213357819139349636587130104887359387658774071266270642439939162112) c (if (<=.f64 c 3152139323994345995755365745047208973385596928000) (*.f64 y x) c))
c

Outputs
(+.f64 (+.f64 (.f64 z (.f64 t 1/16)) (fma.f64 x y (.f64 (.f64 a b) -1/4))) c)
(+.f64 (+.f64 (fma.f64 x y (.f64 (.f64 a b) -1/4)) (.f64 z (.f64 t 1/16))) c)
(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
(+.f64 c (-.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) (/.f64 (*.f64 a b) 4)))
(if (<=.f64 (.f64 a b) -3138550867693340160/6277101735386680763835789423207666416102355444464034512896) (+.f64 (-.f64 (.f64 1/16 (.f64 t z)) (.f64 1/4 (.f64 a b))) c) (if (<=.f64 (.f64 a b) 2993155353253689/5986310706507378352962293074805895248510699696029696) (+.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) c) (+.f64 (-.f64 (.f64 y x) (.f64 1/4 (.f64 a b))) c)))
(if (<=.f64 (.f64 a b) -6129982163463555/12259964326927110866866776217202473468949912977468817408) (+.f64 c (+.f64 (.f64 1/16 (.f64 z t)) (.f64 (.f64 a b) -1/4))) (if (<=.f64 (.f64 a b) 2993155353253689/5986310706507378352962293074805895248510699696029696) (+.f64 c (+.f64 (.f64 1/16 (.f64 z t)) (.f64 x y))) (+.f64 c (+.f64 (.f64 x y) (.f64 (.f64 a b) -1/4)))))
(if (<=.f64 (.f64 a b) -4000) (+.f64 (-.f64 (.f64 y x) (.f64 1/4 (.f64 a b))) c) (if (<=.f64 (.f64 a b) 2993155353253689/5986310706507378352962293074805895248510699696029696) (+.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) c) (+.f64 (-.f64 (.f64 y x) (.f64 1/4 (*.f64 a b))) c)))
(if (<=.f64 (.f64 a b) -4000) (+.f64 c (+.f64 (.f64 x y) (.f64 (.f64 a b) -1/4))) (if (<=.f64 (.f64 a b) 2993155353253689/5986310706507378352962293074805895248510699696029696) (+.f64 c (+.f64 (.f64 1/16 (.f64 z t)) (.f64 x y))) (+.f64 c (+.f64 (.f64 x y) (.f64 (*.f64 a b) -1/4)))))
(if (<=.f64 (.f64 a b) -1999999999999999890644667736494890251419293140042495849331683229696) (+.f64 (.f64 a (.f64 b -1/4)) c) (if (<=.f64 (.f64 a b) 19999999999999999781741223642818392253569612520802717890360030929450604798220516297708225612915260122593317856641907797168065523046908674225209344) (+.f64 (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) c) (+.f64 (.f64 a (*.f64 b -1/4)) c)))
(if (<=.f64 (.f64 a b) -1999999999999999890644667736494890251419293140042495849331683229696) (+.f64 c (.f64 a (.f64 b -1/4))) (if (<=.f64 (.f64 a b) 19999999999999999781741223642818392253569612520802717890360030929450604798220516297708225612915260122593317856641907797168065523046908674225209344) (+.f64 c (+.f64 (.f64 1/16 (.f64 z t)) (.f64 x y))) (+.f64 c (.f64 a (*.f64 b -1/4)))))
(if (<=.f64 (.f64 a b) -73786976294838208/18446744073709551616) (+.f64 (.f64 a (.f64 b -1/4)) c) (if (<=.f64 (.f64 a b) 9745314011400/9745314011399999080353382387875188310876226857595007526867906457212948690766426102465615065882010259225304916231408668183459169865203094046577987296312653419531277699956473029870789655490053648352799593479218378873685597925394874945746363615468965612827738803104277547081828589991914110976) (+.f64 (.f64 (.f64 1/16 t) z) c) (if (<=.f64 (.f64 a b) 1692303280103036416/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (+.f64 (.f64 y x) (.f64 1/16 (.f64 t z))) (if (<=.f64 (.f64 a b) 1999999999999999981659134804722553127373217699964969823968184453035338303331199272402085867973083140739204506351659965449978924498944) (+.f64 (.f64 y x) c) (+.f64 (.f64 a (.f64 b -1/4)) c)))))
(if (<=.f64 (.f64 a b) -1152921504606847/288230376151711744) (+.f64 c (.f64 a (.f64 b -1/4))) (if (<=.f64 (.f64 a b) 1218164251425/1218164251424999885044172798484398538859528357199375940858488307151618586345803262808201883235251282403163114528926083522932396233150386755822248412039081677441409712494559128733848706936256706044099949184902297359210699740674359368218295451933620701603467350388034693385228573748989263872) (+.f64 c (.f64 z (.f64 t 1/16))) (if (<=.f64 (.f64 a b) 3305279843951243/330527984395124299475957654016385519914202341482140609642324397637202895618155672912594605219857642423795606012511679152128) (+.f64 (.f64 1/16 (.f64 z t)) (.f64 x y)) (if (<=.f64 (.f64 a b) 1999999999999999981659134804722553127373217699964969823968184453035338303331199272402085867973083140739204506351659965449978924498944) (+.f64 c (.f64 x y)) (+.f64 c (.f64 a (.f64 b -1/4)))))))
(if (<=.f64 (.f64 a b) -73786976294838208/18446744073709551616) (+.f64 (.f64 a (.f64 b -1/4)) c) (if (<=.f64 (.f64 a b) 1723641332219371/344728266443874206170545512964432112225507069317819522056079337263512430464013488758041250121488036739611555846958495676040441511948045769973944468809441663382665538511073745187088876036706973599091474545756168257536) (+.f64 (.f64 (.f64 1/16 t) z) c) (if (<=.f64 (.f64 a b) 1999999999999999981659134804722553127373217699964969823968184453035338303331199272402085867973083140739204506351659965449978924498944) (+.f64 (.f64 y x) c) (+.f64 (.f64 a (.f64 b -1/4)) c))))
(if (<=.f64 (.f64 a b) -1152921504606847/288230376151711744) (+.f64 c (.f64 a (.f64 b -1/4))) (if (<=.f64 (.f64 a b) 1723641332219371/344728266443874206170545512964432112225507069317819522056079337263512430464013488758041250121488036739611555846958495676040441511948045769973944468809441663382665538511073745187088876036706973599091474545756168257536) (+.f64 c (.f64 z (.f64 t 1/16))) (if (<=.f64 (.f64 a b) 1999999999999999981659134804722553127373217699964969823968184453035338303331199272402085867973083140739204506351659965449978924498944) (+.f64 c (.f64 x y)) (+.f64 c (.f64 a (.f64 b -1/4))))))
(if (<=.f64 a -5200000000000000088223853318392622260755570736732990180843986970861978797891350425686629770591527993708052373291650390259133094954889648013959055702358117088481938303368222577845389980563136901651191469244846154921226304225280) (.f64 -1/4 (.f64 a b)) (if (<=.f64 a -380000000000000021136364279814295666337777446901639993654678593295647045092172874136614336566496293199970285774540699488488244852170632576732115508143447683446603776) (+.f64 (.f64 (.f64 1/16 t) z) c) (if (<=.f64 a -64999999999999994665845927045640589047306381541945215811693058793852418209856737502363391822191056167750973652381384074347673066281295380503035117568) (.f64 -1/4 (.f64 a b)) (if (<=.f64 a -64999999999999997593782790941888664745398360928585609804707851957359763860442548196672489095453204062214069157888) (+.f64 (.f64 (.f64 1/16 t) z) c) (if (<=.f64 a -22999999999999998821356987611656123252024740830383822505000531558125142939753512960) (+.f64 (.f64 y x) c) (if (<=.f64 a -247110775672820204797860144742400) (+.f64 (.f64 (.f64 1/16 t) z) c) (if (<=.f64 a -36617684910227256/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (+.f64 (.f64 y x) c) (if (<=.f64 a 4205072641733072/6668014432879854274079851790721257797144758322315908160396257811764037237817632071521432200871554290742929910593433240445888801654119365080363356052330830046095157579514014558463078285911814024728965016135886601981690748037476461291163877376) (+.f64 (.f64 (.f64 1/16 t) z) c) (if (<=.f64 a 637787930707621120/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (+.f64 (.f64 y x) c) (if (<=.f64 a 7202466553703561/26959946667150639794667015087019630673637144422540572481103610249216) (+.f64 (.f64 (.f64 1/16 t) z) c) (.f64 -1/4 (*.f64 a b))))))))))))
(if (<=.f64 a -5200000000000000088223853318392622260755570736732990180843986970861978797891350425686629770591527993708052373291650390259133094954889648013959055702358117088481938303368222577845389980563136901651191469244846154921226304225280) (.f64 (.f64 a b) -1/4) (if (<=.f64 a -380000000000000021136364279814295666337777446901639993654678593295647045092172874136614336566496293199970285774540699488488244852170632576732115508143447683446603776) (+.f64 c (.f64 z (.f64 t 1/16))) (if (<=.f64 a -64999999999999994665845927045640589047306381541945215811693058793852418209856737502363391822191056167750973652381384074347673066281295380503035117568) (.f64 (.f64 a b) -1/4) (if (<=.f64 a -64999999999999997593782790941888664745398360928585609804707851957359763860442548196672489095453204062214069157888) (+.f64 c (.f64 z (.f64 t 1/16))) (if (<=.f64 a -22999999999999998821356987611656123252024740830383822505000531558125142939753512960) (+.f64 c (.f64 x y)) (if (<=.f64 a -247110775672820204797860144742400) (+.f64 c (.f64 z (.f64 t 1/16))) (if (<=.f64 a -4577210613778407/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632) (+.f64 c (.f64 x y)) (if (<=.f64 a 262817040108317/416750902054990892129990736920078612321547395144744260024766113235252327363602004470089512554472143171433119412089577527868050103382460317522709753270676877880947348719625909903942392869488376545560313508492912623855671752342278830697742336) (+.f64 c (.f64 z (.f64 t 1/16))) (if (<=.f64 a 2491359104326645/661055968790248598951915308032771039828404682964281219284648795274405791236311345825189210439715284847591212025023358304256) (+.f64 c (.f64 x y)) (if (<=.f64 a 7202466553703561/26959946667150639794667015087019630673637144422540572481103610249216) (+.f64 c (.f64 z (.f64 t 1/16))) (.f64 (*.f64 a b) -1/4)))))))))))
(if (<=.f64 (.f64 a b) -1075054540371933/512) (.f64 -1/4 (.f64 a b)) (if (<=.f64 (.f64 a b) 1850254591131414244246201458715440429303190721155141822641003257093926162320422442381233898591571073670111938298657862958728702066688) (+.f64 (.f64 y x) c) (.f64 -1/4 (*.f64 a b))))
(if (<=.f64 (.f64 a b) -1075054540371933/512) (.f64 (.f64 a b) -1/4) (if (<=.f64 (.f64 a b) 1850254591131414244246201458715440429303190721155141822641003257093926162320422442381233898591571073670111938298657862958728702066688) (+.f64 c (.f64 x y)) (.f64 (*.f64 a b) -1/4)))
(if (<=.f64 c -25782063796243405424763154577054365938832509327350920479958645898077286443253760) c (if (<=.f64 c -308984054565581248/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (.f64 -1/4 (.f64 a b)) (if (<=.f64 c -71604780580661104/361473786714651839609485931802192366508973300717001923159475447150424810286233407987951861887389439612274926783780351561999781998832434041296198795326329101623141899709787663433296905279066051548640942013290819886814068736) (.f64 y x) (if (<=.f64 c -7855949554584788992/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856) (.f64 -1/4 (.f64 a b)) (if (<=.f64 c 12705483473812748288/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336) (.f64 1/16 (.f64 t z)) (if (<=.f64 c 15615321541688174/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (.f64 y x) (if (<=.f64 c 2973015949854377/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688) (.f64 1/16 (.f64 t z)) (if (<=.f64 c 213104473168324077466255724376091540084797330047788524599591426004146709096772646316503530995712) (.f64 -1/4 (.f64 a b)) c))))))))
(if (<=.f64 c -25782063796243405424763154577054365938832509327350920479958645898077286443253760) c (if (<=.f64 c -4827875852587207/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384) (.f64 (.f64 a b) -1/4) (if (<=.f64 c -4475298786291319/22592111669665739975592870737637022906810831294812620197467215446901550642889587999246991367961839975767182923986271972624986374927027127581012424707895568851446368731861728964581056579941628221790058875830676242925879296) (.f64 x y) (if (<=.f64 c -958978217112401/189516368689051383685178160212707831452256593886315504289435063235601922935348741007187305765215634515440396813614632959737741704603859178643101474004050432031793820315045154486116367874950982034333862206264217376817974469459968) (.f64 (.f64 a b) -1/4) (if (<=.f64 c 6203849352447631/257956314031086546070478410603767874276780920916074961976543314954430616482775810290242800726395111276696481930301332362735521269288420672485614735577607215287298185546389201254263436365442598170421988724712494337962904439820098505292185985726092029535907510203973632) (.f64 1/16 (.f64 z t)) (if (<=.f64 c 7807660770844087/6703903964971298549787012499102923063739682910296196688861780721860882015036773488400937149083451713845015929093243025426876941405973284973216824503042048) (.f64 x y) (if (<=.f64 c 2973015949854377/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688) (.f64 1/16 (.f64 z t)) (if (<=.f64 c 213104473168324077466255724376091540084797330047788524599591426004146709096772646316503530995712) (.f64 (.f64 a b) -1/4) c))))))))
(if (<=.f64 c -25782063796243405424763154577054365938832509327350920479958645898077286443253760) c (if (<=.f64 c -308984054565581248/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (.f64 -1/4 (.f64 a b)) (if (<=.f64 c -71604780580661104/361473786714651839609485931802192366508973300717001923159475447150424810286233407987951861887389439612274926783780351561999781998832434041296198795326329101623141899709787663433296905279066051548640942013290819886814068736) (.f64 y x) (if (<=.f64 c 12721177060771418112/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336) (.f64 -1/4 (.f64 a b)) (if (<=.f64 c 4021521379266093/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (.f64 y x) (if (<=.f64 c 213104473168324077466255724376091540084797330047788524599591426004146709096772646316503530995712) (.f64 -1/4 (.f64 a b)) c))))))
(if (<=.f64 c -25782063796243405424763154577054365938832509327350920479958645898077286443253760) c (if (<=.f64 c -4827875852587207/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384) (.f64 (.f64 a b) -1/4) (if (<=.f64 c -4475298786291319/22592111669665739975592870737637022906810831294812620197467215446901550642889587999246991367961839975767182923986271972624986374927027127581012424707895568851446368731861728964581056579941628221790058875830676242925879296) (.f64 x y) (if (<=.f64 c 3105756118352397/128978157015543273035239205301883937138390460458037480988271657477215308241387905145121400363197555638348240965150666181367760634644210336242807367788803607643649092773194600627131718182721299085210994362356247168981452219910049252646092992863046014767953755101986816) (.f64 (.f64 a b) -1/4) (if (<=.f64 c 4021521379266093/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (.f64 x y) (if (<=.f64 c 213104473168324077466255724376091540084797330047788524599591426004146709096772646316503530995712) (.f64 (.f64 a b) -1/4) c))))))
(if (<=.f64 c -774927865099456679368832490555315886213357819139349636587130104887359387658774071266270642439939162112) c (if (<=.f64 c 3152139323994345995755365745047208973385596928000) (*.f64 y x) c))
(if (<=.f64 c -774927865099456679368832490555315886213357819139349636587130104887359387658774071266270642439939162112) c (if (<=.f64 c 3152139323994345995755365745047208973385596928000) (*.f64 x y) c))
c

Compiler

Compiled 614 to 372 computations (39.4% saved)

soundness0.0ms (0%)

end550.0ms (3.8%)

Remove

(sort a b)

(sort z t)

(sort x y)

Compiler

Compiled 668 to 356 computations (46.7% saved)