Metrics for Graphics.Rendering.Chart.Axis.Types:hBufferRect from Chart-1.5.3

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample762.0ms (37.7%)

Memory

39.0MiB live, 1 222.9MiB allocated; 288ms collecting garbage

Samples

432.0ms	7 605×	0	valid
33.0ms	211×	2	valid
33.0ms	143×	3	valid
17.0ms	297×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 145.0ms

ival-div!: 57.0ms (39.2% of total)

ival-add!: 36.0ms (24.8% of total)

ival-sub!: 30.0ms (20.6% of total)

adjust: 22.0ms (15.1% of total)

Bogosity

preprocess153.0ms (7.6%)

Memory

-23.3MiB live, 33.7MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	46
1	83	42
2	330	42
3	1535	42
4	6938	42

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))

Compiler

Compiled 12 to 12 computations (0% saved)

series8.0ms (0.4%)

Memory

13.3MiB live, 13.3MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	310

Stop Event

1×	iter-limit

Counts

6 → 24

Calls

Call 1

Inputs
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
x
(/.f64 (-.f64 x y) #s(literal 2 binary64))
(-.f64 x y)
y
#s(literal 2 binary64)

Outputs
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x)))
#s(approx x x)
#s(approx (/ (- x y) 2) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (- x y) (*.f64 #s(literal -1 binary64) y))
#s(approx (- x y) (-.f64 x y))
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (+ x (/ (- x y) 2)) (.f64 x (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 y x)))))
#s(approx (/ (- x y) 2) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- x y) 2) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 y x)))))
#s(approx (- x y) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 y x)))))
#s(approx (+ x (/ (- x y) 2)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 3/2 binary64)))))
#s(approx (/ (- x y) 2) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 1/2 binary64)))))
#s(approx (- x y) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))))
#s(approx (+ x (/ (- x y) 2)) (+.f64 x (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ x (/ (- x y) 2)) (+.f64 x (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (- x y) (+.f64 x (*.f64 #s(literal -1 binary64) y)))
#s(approx y y)
#s(approx (+ x (/ (- x y) 2)) (*.f64 y (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 x y)) #s(literal 1/2 binary64))))
#s(approx (/ (- x y) 2) (.f64 y (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64))))
#s(approx (- x y) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))
#s(approx (+ x (/ (- x y) 2)) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) x)) y))))))
#s(approx (/ (- x y) 2) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))))
#s(approx (- x y) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((+ x (/ (- x y) 2)) x (/ (- x y) 2) (- x y) y 2)
1.0ms	x	@	inf	((+ x (/ (- x y) 2)) x (/ (- x y) 2) (- x y) y 2)
1.0ms	y	@	-inf	((+ x (/ (- x y) 2)) x (/ (- x y) 2) (- x y) y 2)
1.0ms	y	@	0	((+ x (/ (- x y) 2)) x (/ (- x y) 2) (- x y) y 2)
0.0ms	y	@	inf	((+ x (/ (- x y) 2)) x (/ (- x y) 2) (- x y) y 2)

rewrite299.0ms (14.8%)

Memory

-13.5MiB live, 293.7MiB allocated; 187ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	62	18
2	244	18
3	1026	18
4	6346	18
0	8411	17
1	19000	17

Stop Event

1×	saturated
1×	node-limit
1×	iter-limit

Counts

6 → 573

Calls

Call 1

Inputs
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
x
(/.f64 (-.f64 x y) #s(literal 2 binary64))
(-.f64 x y)
y
#s(literal 2 binary64)

Outputs
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x) #s(literal 2 binary64)) #s(literal 2 binary64))
(.f64 (.f64 (fma.f64 #s(literal -3 binary64) x y) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 (fma.f64 #s(literal -3 binary64) x y) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(*.f64 (/.f64 (fma.f64 #s(literal -3 binary64) x y) #s(literal 1/2 binary64)) #s(literal -1/4 binary64))
(*.f64 (/.f64 (fma.f64 #s(literal -3 binary64) x y) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))
(.f64 (.f64 (fma.f64 #s(literal -3 binary64) x y) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x y) (.f64 x #s(literal 8 binary64))) #s(literal 1/8 binary64))
(.f64 (fma.f64 #s(literal -2 binary64) (-.f64 x y) (.f64 x #s(literal -4 binary64))) #s(literal -1/4 binary64))
(.f64 (.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 3 binary64) x) y)) #s(literal 1/4 binary64))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -3 binary64) x y))
(*.f64 (fma.f64 #s(literal -3 binary64) x y) #s(literal -1/2 binary64))
(.f64 #s(literal -1 binary64) (.f64 (fma.f64 #s(literal -3 binary64) x y) #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 3 binary64) x) y))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x))
(.f64 (-.f64 (.f64 #s(literal 3 binary64) x) y) #s(literal 1/2 binary64))
(/.f64 (+.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64) (+.f64 x x)) (/.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (-.f64 x (-.f64 y x)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (fma.f64 #s(literal -2 binary64) y (.f64 #s(literal 4 binary64) x)) (.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) x))) #s(literal 4 binary64))
(/.f64 (+.f64 (fma.f64 #s(literal -2 binary64) y (.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) x))) (.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) x))) #s(literal 4 binary64))
(/.f64 (+.f64 (-.f64 (.f64 #s(literal 4 binary64) x) (+.f64 y y)) (.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) x))) #s(literal 4 binary64))
(/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) y (.f64 (.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) x)) #s(literal -4 binary64))
(/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) y (.f64 x #s(literal -4 binary64))) (.f64 #s(literal -2 binary64) x)) #s(literal -4 binary64))
(/.f64 (+.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) y)) (.f64 #s(literal -2 binary64) x)) #s(literal -4 binary64))
(/.f64 (+.f64 (-.f64 (.f64 x #s(literal -4 binary64)) (.f64 #s(literal -2 binary64) y)) (*.f64 #s(literal -2 binary64) x)) #s(literal -4 binary64))
(/.f64 (+.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal -2 binary64) (.f64 #s(literal -2 binary64) x)) (neg.f64 x)) #s(literal -2 binary64))
(/.f64 (+.f64 (-.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal 1 binary64) (neg.f64 y))) (neg.f64 x)) #s(literal -2 binary64))
(/.f64 (+.f64 (fma.f64 #s(literal -2 binary64) y (*.f64 #s(literal 4 binary64) x)) (+.f64 x x)) #s(literal 4 binary64))
(/.f64 (+.f64 (fma.f64 #s(literal -2 binary64) y (.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) x))) (+.f64 x x)) #s(literal 4 binary64))
(/.f64 (+.f64 (-.f64 (*.f64 #s(literal 4 binary64) x) (+.f64 y y)) (+.f64 x x)) #s(literal 4 binary64))
(/.f64 (+.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64) (+.f64 x x)) x) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 3 binary64) x (/.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal -3 binary64) x (*.f64 #s(literal -1 binary64) (neg.f64 y))) #s(literal -2 binary64))
(/.f64 (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 1 binary64) (neg.f64 y))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 y) (*.f64 #s(literal -3 binary64) x)) #s(literal -2 binary64))
(/.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 1/2 binary64)) (.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 y) (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64))
(/.f64 (+.f64 (neg.f64 x) (fma.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal -2 binary64) (.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64))
(/.f64 (fma.f64 #s(literal -2 binary64) x (fma.f64 #s(literal 2 binary64) y (.f64 (.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)))) #s(literal -4 binary64))
(/.f64 (fma.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) x) (fma.f64 #s(literal -2 binary64) y (.f64 #s(literal 4 binary64) x))) #s(literal 4 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 #s(literal -2 binary64) y (*.f64 #s(literal 4 binary64) x))) #s(literal 4 binary64))
(/.f64 (fma.f64 #s(literal -2 binary64) x (fma.f64 #s(literal 2 binary64) y (*.f64 x #s(literal -4 binary64)))) #s(literal -4 binary64))
(/.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal -1/2 binary64)) (fma.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64) (+.f64 x x))) #s(literal 2 binary64))
(/.f64 (+.f64 x (fma.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64) (+.f64 x x))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) x) (fma.f64 #s(literal -2 binary64) y (.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) x)))) #s(literal 4 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 #s(literal -2 binary64) y (.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) x)))) #s(literal 4 binary64))
(/.f64 (fma.f64 #s(literal -2 binary64) x (-.f64 (.f64 (.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) y))) #s(literal -4 binary64))
(/.f64 (fma.f64 #s(literal -2 binary64) x (-.f64 (.f64 x #s(literal -4 binary64)) (.f64 #s(literal -2 binary64) y))) #s(literal -4 binary64))
(/.f64 (fma.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) x) (-.f64 (.f64 #s(literal 4 binary64) x) (+.f64 y y))) #s(literal 4 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) x (-.f64 (*.f64 #s(literal 4 binary64) x) (+.f64 y y))) #s(literal 4 binary64))
(/.f64 (+.f64 (neg.f64 x) (-.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal 1 binary64) (neg.f64 y)))) #s(literal -2 binary64))
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal -1/2 binary64)) (-.f64 x (-.f64 y x))) #s(literal 2 binary64))
(/.f64 (+.f64 (+.f64 x (.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64))) (/.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) #s(literal -1/2 binary64)) (/.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64) x) (/.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (+.f64 x (.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) y))) (/.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (-.f64 x y) (/.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal -2 binary64) (neg.f64 x)) (.f64 #s(literal -2 binary64) x)) #s(literal -2 binary64))
(/.f64 (+.f64 (+.f64 (neg.f64 x) (.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal -2 binary64))) (*.f64 #s(literal -2 binary64) x)) #s(literal -2 binary64))
(/.f64 (+.f64 (+.f64 (neg.f64 x) (.f64 #s(literal -2 binary64) (.f64 #s(literal -1/2 binary64) y))) (*.f64 #s(literal -2 binary64) x)) #s(literal -2 binary64))
(/.f64 (+.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal -2 binary64)) x) (*.f64 #s(literal -2 binary64) x)) #s(literal -2 binary64))
(/.f64 (+.f64 (-.f64 (neg.f64 x) (.f64 #s(literal 1 binary64) (neg.f64 y))) (.f64 #s(literal -2 binary64) x)) #s(literal -2 binary64))
(/.f64 (+.f64 (+.f64 x (.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64))) (+.f64 x x)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) #s(literal -1/2 binary64)) (+.f64 x x)) #s(literal 2 binary64))
(/.f64 (+.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64) x) (+.f64 x x)) #s(literal 2 binary64))
(/.f64 (+.f64 (+.f64 x (.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) y))) (+.f64 x x)) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal -2 binary64) x (fma.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal -2 binary64) (neg.f64 x))) #s(literal -2 binary64))
(/.f64 (fma.f64 #s(literal -2 binary64) x (+.f64 (neg.f64 x) (.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal -2 binary64)))) #s(literal -2 binary64))
(/.f64 (+.f64 (/.f64 x #s(literal 1/2 binary64)) (+.f64 x (.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x (.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 x #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64) x)) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64) x)) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal -2 binary64) x (+.f64 (neg.f64 x) (.f64 #s(literal -2 binary64) (.f64 #s(literal -1/2 binary64) y)))) #s(literal -2 binary64))
(/.f64 (+.f64 (/.f64 x #s(literal 1/2 binary64)) (+.f64 x (.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) y)))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x (.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) y)))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal -2 binary64) x (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal -2 binary64)) x)) #s(literal -2 binary64))
(/.f64 (fma.f64 #s(literal -2 binary64) x (-.f64 (neg.f64 x) (*.f64 #s(literal 1 binary64) (neg.f64 y)))) #s(literal -2 binary64))
(/.f64 (+.f64 (/.f64 x #s(literal 1/2 binary64)) (-.f64 x y)) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal -2 binary64) (-.f64 x y) (.f64 (.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))) #s(literal -4 binary64))
(/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) y (.f64 #s(literal 4 binary64) x)) (.f64 #s(literal -2 binary64) x)) #s(literal 4 binary64))
(/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) y (.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) x))) (*.f64 #s(literal -2 binary64) x)) #s(literal 4 binary64))
(/.f64 (-.f64 (-.f64 (.f64 #s(literal 4 binary64) x) (+.f64 y y)) (.f64 #s(literal -2 binary64) x)) #s(literal 4 binary64))
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64) (+.f64 x x)) (neg.f64 x)) #s(literal 2 binary64))
(/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) y (.f64 (.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))) (+.f64 x x)) #s(literal -4 binary64))
(/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x #s(literal -4 binary64))) (+.f64 x x)) #s(literal -4 binary64))
(/.f64 (-.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) y)) (+.f64 x x)) #s(literal -4 binary64))
(/.f64 (-.f64 (-.f64 (.f64 x #s(literal -4 binary64)) (.f64 #s(literal -2 binary64) y)) (+.f64 x x)) #s(literal -4 binary64))
(/.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal -2 binary64) (.f64 #s(literal -2 binary64) x)) x) #s(literal -2 binary64))
(/.f64 (-.f64 (-.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal 1 binary64) (neg.f64 y))) x) #s(literal -2 binary64))
(/.f64 (-.f64 (.f64 #s(literal 3 binary64) x) (/.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) x (.f64 (.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) y)) #s(literal -4 binary64))
(/.f64 (-.f64 (fma.f64 x #s(literal -4 binary64) (.f64 #s(literal -2 binary64) x)) (.f64 #s(literal -2 binary64) y)) #s(literal -4 binary64))
(/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) x (.f64 x #s(literal -4 binary64))) (.f64 #s(literal -2 binary64) y)) #s(literal -4 binary64))
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(fma.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 2 binary64) (.f64 (-.f64 x y) #s(literal 0 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 2 binary64) (.f64 #s(literal 0 binary64) (-.f64 x y)))
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal -2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))
(fma.f64 #s(literal 2 binary64) (/.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 x y)) (.f64 (-.f64 x y) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 x y)) (.f64 #s(literal 0 binary64) (-.f64 x y)))
(fma.f64 (-.f64 x y) #s(literal 1 binary64) (*.f64 (-.f64 x y) #s(literal 0 binary64)))
(fma.f64 (-.f64 x y) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (-.f64 x y)))
(fma.f64 y #s(literal -1 binary64) x)
(fma.f64 x #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(-.f64 (neg.f64 y) (neg.f64 x))
(-.f64 x y)
(+.f64 (+.f64 (neg.f64 y) (.f64 #s(literal 1/2 binary64) x)) (.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) x)
(+.f64 (neg.f64 y) x)
(+.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))
(+.f64 (-.f64 x y) (*.f64 (-.f64 x y) #s(literal 0 binary64)))
(+.f64 (-.f64 x y) (*.f64 #s(literal 0 binary64) (-.f64 x y)))
(+.f64 x (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(+.f64 x (neg.f64 y))
y
#s(literal 2 binary64)

eval68.0ms (3.3%)

Memory: 8.4MiB live, 146.1MiB allocated; 33ms collecting garbage
Compiler: Compiled 3 086 to 1 371 computations (55.6% saved)

prune11.0ms (0.6%)

Memory

-15.8MiB live, 29.8MiB allocated; 5ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	588	4	592
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	589	4	593

Accuracy

100.0%

Counts

593 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
▶	100.0%	(fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) y))
▶	46.8%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
▶	53.7%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 29 to 29 computations (0% saved)

series9.0ms (0.5%)

Memory

23.6MiB live, 23.6MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	257

Stop Event

1×	iter-limit

Counts

11 → 20

Calls

Call 1

Inputs
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
(*.f64 #s(literal 3/2 binary64) x)
#s(literal 3/2 binary64)
x
(fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) y))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(-.f64 y x)

Outputs
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x)))
#s(approx (* 3/2 x) (*.f64 #s(literal 3/2 binary64) x))
#s(approx x x)
#s(approx (- y x) y)
#s(approx (- y x) (+.f64 y (*.f64 #s(literal -1 binary64) x)))
#s(approx (+ x (/ (- x y) 2)) (.f64 x (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 y x)))))
#s(approx (- y x) (*.f64 #s(literal -1 binary64) x))
#s(approx (- y x) (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))
#s(approx (+ x (/ (- x y) 2)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 3/2 binary64)))))
#s(approx (- y x) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))))
#s(approx (+ x (/ (- x y) 2)) (+.f64 x (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ x (/ (- x y) 2)) (+.f64 x (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (- y x) (-.f64 y x))
#s(approx (+ x (/ (- x y) 2)) (*.f64 y (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 x y)) #s(literal 1/2 binary64))))
#s(approx (+ (* x 3/2) (* -1/2 y)) (.f64 y (-.f64 (.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64))))
#s(approx (- y x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 x y)))))
#s(approx (+ x (/ (- x y) 2)) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) x)) y))))))
#s(approx (+ (* x 3/2) (* -1/2 y)) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 x y))))))
#s(approx (- y x) (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((+ x (/ (- x y) 2)) (* -1/2 y) -1/2 y (+ x (/ (- x y) 2)) (* 3/2 x) 3/2 x (+ (* x 3/2) (* -1/2 y)) (+ (* (- y x) -1/2) x) (- y x))
1.0ms	y	@	inf	((+ x (/ (- x y) 2)) (* -1/2 y) -1/2 y (+ x (/ (- x y) 2)) (* 3/2 x) 3/2 x (+ (* x 3/2) (* -1/2 y)) (+ (* (- y x) -1/2) x) (- y x))
1.0ms	y	@	-inf	((+ x (/ (- x y) 2)) (* -1/2 y) -1/2 y (+ x (/ (- x y) 2)) (* 3/2 x) 3/2 x (+ (* x 3/2) (* -1/2 y)) (+ (* (- y x) -1/2) x) (- y x))
1.0ms	x	@	-inf	((+ x (/ (- x y) 2)) (* -1/2 y) -1/2 y (+ x (/ (- x y) 2)) (* 3/2 x) 3/2 x (+ (* x 3/2) (* -1/2 y)) (+ (* (- y x) -1/2) x) (- y x))
1.0ms	x	@	0	((+ x (/ (- x y) 2)) (* -1/2 y) -1/2 y (+ x (/ (- x y) 2)) (* 3/2 x) 3/2 x (+ (* x 3/2) (* -1/2 y)) (+ (* (- y x) -1/2) x) (- y x))

rewrite119.0ms (5.9%)

Memory

17.6MiB live, 199.5MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	47
0	22	47
1	127	45
2	424	45
3	1583	45
0	8525	45
1	13592	45

Stop Event

1×	saturated
1×	node-limit
1×	iter-limit

Counts

11 → 662

Calls

Call 1

Inputs
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
(*.f64 #s(literal 3/2 binary64) x)
#s(literal 3/2 binary64)
x
(fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) y))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(-.f64 y x)

Outputs
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 (neg.f64 y) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))
(*.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/4 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) y))
(.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64))
(*.f64 (neg.f64 y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 y #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (neg.f64 y))
(.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) y))
(.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 y #s(literal -1/2 binary64))
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 y)) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64))
(/.f64 (neg.f64 y) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))
(/.f64 y #s(literal -2 binary64))
(neg.f64 (*.f64 #s(literal 1/2 binary64) y))
#s(literal -1/2 binary64)
y
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
(.f64 (.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(.f64 (.f64 #s(literal -3 binary64) x) #s(literal -1/2 binary64))
(.f64 (.f64 #s(literal 3 binary64) x) #s(literal 1/2 binary64))
(*.f64 #s(literal -3/2 binary64) (neg.f64 x))
(*.f64 (neg.f64 x) #s(literal -3/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3 binary64) x))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 3/2 binary64) x))
(*.f64 (+.f64 x x) #s(literal 3/4 binary64))
(.f64 #s(literal 3 binary64) (.f64 #s(literal 1/2 binary64) x))
(.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))
(.f64 (.f64 #s(literal 3/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 3/2 binary64) x)
(.f64 #s(literal 2 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3/2 binary64)))
(*.f64 x #s(literal 3/2 binary64))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3/2 binary64)) #s(literal -2 binary64))
(/.f64 (fma.f64 x #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) x)) #s(literal -4 binary64))
(/.f64 (fma.f64 #s(literal -2 binary64) x (*.f64 x #s(literal -4 binary64))) #s(literal -4 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 x #s(literal 4 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 x #s(literal 4 binary64) (+.f64 x x)) #s(literal 4 binary64))
(/.f64 (fma.f64 #s(literal -2 binary64) x (*.f64 #s(literal -2 binary64) (+.f64 x x))) #s(literal -4 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) x))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 x #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) x)) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 x #s(literal -4 binary64)) (+.f64 x x)) #s(literal -4 binary64))
(/.f64 (*.f64 #s(literal -3 binary64) x) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -3/2 binary64) x) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 3/2 binary64) x) #s(literal 1 binary64))
(neg.f64 (*.f64 #s(literal -3/2 binary64) x))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64) x)
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) #s(literal 2 binary64) x)
(fma.f64 (/.f64 (neg.f64 x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) x)
(fma.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal 1/4 binary64) x)
(fma.f64 (/.f64 x #s(literal 4 binary64)) #s(literal 2 binary64) x)
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) #s(literal 2 binary64) x)
(fma.f64 #s(literal 1/4 binary64) (+.f64 x x) x)
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64) x)
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) x) x)
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) x)
(fma.f64 #s(literal 1/2 binary64) x x)
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (+.f64 x x) #s(literal 1/4 binary64) x)
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) x)
(fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 3/2 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3/2 binary64)))
(fma.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 x) x)
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal 2 binary64) (/.f64 x #s(literal 4 binary64)) x)
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) x)
(fma.f64 x #s(literal 1/2 binary64) x)
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 x))
(-.f64 x (*.f64 #s(literal -1/2 binary64) x))
(+.f64 (.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/2 binary64) x)) (.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/2 binary64) x)))
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 3/2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 3/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) x)
(+.f64 x (*.f64 #s(literal 1/2 binary64) x))
#s(literal 3/2 binary64)
x
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x) #s(literal 2 binary64)) #s(literal 2 binary64))
(.f64 (.f64 (fma.f64 #s(literal -3 binary64) x y) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(.f64 (.f64 (fma.f64 #s(literal -3 binary64) x y) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 (fma.f64 #s(literal -3 binary64) x y) #s(literal 1/2 binary64)) #s(literal -1/4 binary64))
(*.f64 (/.f64 (fma.f64 #s(literal -3 binary64) x y) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(.f64 (/.f64 (-.f64 (.f64 #s(literal 3 binary64) x) y) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))
(.f64 (fma.f64 x #s(literal -4 binary64) (.f64 #s(literal -2 binary64) (-.f64 x y))) #s(literal -1/4 binary64))
(.f64 (.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 3 binary64) x) y)) #s(literal 1/4 binary64))
(.f64 (fma.f64 x #s(literal 8 binary64) (.f64 #s(literal 4 binary64) (-.f64 x y))) #s(literal 1/8 binary64))
(.f64 (.f64 (fma.f64 #s(literal -3 binary64) x y) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal -3 binary64) x y) #s(literal -1/2 binary64))
(.f64 #s(literal -1 binary64) (.f64 (fma.f64 #s(literal -3 binary64) x y) #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 3 binary64) x) y))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x))
(.f64 (-.f64 (.f64 #s(literal 3 binary64) x) y) #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x) #s(literal 1 binary64))
(/.f64 (.f64 #s(literal -1 binary64) (-.f64 (.f64 #s(literal 3 binary64) x) y)) #s(literal -2 binary64))
(/.f64 (/.f64 (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 3 binary64) x) y)) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (/.f64 (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 3 binary64) x) y)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (/.f64 (fma.f64 x #s(literal 8 binary64) (*.f64 #s(literal 4 binary64) (-.f64 x y))) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (/.f64 (fma.f64 x #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (-.f64 x y))) #s(literal -2 binary64)) #s(literal 2 binary64))
(/.f64 (/.f64 (fma.f64 x #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (-.f64 x y))) #s(literal 2 binary64)) #s(literal -2 binary64))
(/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 #s(literal -3 binary64) x y) #s(literal 1 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 (fma.f64 #s(literal -3 binary64) x y) #s(literal -1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y x) #s(literal -2 binary64) (neg.f64 x)) #s(literal -2 binary64))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y x) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y x) #s(literal 2 binary64) x) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal -2 binary64) (.f64 #s(literal -2 binary64) x)) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y x) #s(literal 2 binary64)) (neg.f64 x)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y x) #s(literal -2 binary64)) x) #s(literal -2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x) #s(literal 2 binary64) (+.f64 y y)) #s(literal -4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal -3 binary64) x) #s(literal -2 binary64) (.f64 #s(literal -2 binary64) y)) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) y)) #s(literal 4 binary64))
(/.f64 (fma.f64 #s(literal -2 binary64) (-.f64 x y) (*.f64 x #s(literal -4 binary64))) #s(literal -4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 x y)) #s(literal -2 binary64) (.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -4 binary64))) #s(literal 8 binary64))
(/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 x y)) #s(literal 2 binary64) (.f64 (+.f64 x x) #s(literal -4 binary64))) #s(literal -8 binary64))
(/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 y x)) #s(literal -2 binary64) (.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64))) #s(literal -8 binary64))
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 x #s(literal 8 binary64))) #s(literal 8 binary64))
(/.f64 (fma.f64 #s(literal -2 binary64) (-.f64 y x) (*.f64 x #s(literal 4 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (-.f64 y x) #s(literal -2 binary64) (*.f64 x #s(literal 4 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (-.f64 x y) #s(literal -2 binary64) (*.f64 x #s(literal -4 binary64))) #s(literal -4 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) y (.f64 (.f64 #s(literal -3 binary64) x) #s(literal 2 binary64))) #s(literal -4 binary64))
(/.f64 (fma.f64 #s(literal -2 binary64) y (.f64 (.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))) #s(literal 4 binary64))
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(-.f64 (.f64 #s(literal 3/2 binary64) x) (.f64 #s(literal 1/2 binary64) y))
(-.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal -3/2 binary64) x))
(-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 y x)))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 x y) x)) (.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 (+.f64 (-.f64 x y) x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 (-.f64 (+.f64 x x) y) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) x))
(+.f64 (/.f64 (.f64 x #s(literal 8 binary64)) #s(literal 8 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 x y)))
(+.f64 (/.f64 (+.f64 (-.f64 x y) x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (fma.f64 #s(literal -1/2 binary64) y x) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) (-.f64 x (-.f64 y x))))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (-.f64 (+.f64 x x) y) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (-.f64 x (-.f64 y x)) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 x (-.f64 y x)) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal -1/2 binary64) y x))
(+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) x)
(+.f64 (.f64 #s(literal 3/2 binary64) x) (.f64 #s(literal -1/2 binary64) y))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(+.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))
(*.f64 #s(literal -1 binary64) (-.f64 x y))
(.f64 (.f64 #s(literal 1/2 binary64) (-.f64 y x)) #s(literal 2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal -2 binary64) (-.f64 x y)))
(*.f64 #s(literal 1 binary64) (-.f64 y x))
(*.f64 (-.f64 y x) #s(literal 1 binary64))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 y x)))
(*.f64 (-.f64 x y) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (-.f64 x y)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (-.f64 y x)) #s(literal -2 binary64))
(/.f64 (-.f64 y x) #s(literal 1 binary64))
(neg.f64 (-.f64 x y))
(fma.f64 (.f64 #s(literal -2 binary64) x) #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (neg.f64 y)))
(fma.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1/2 binary64) y)
(fma.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (neg.f64 y)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64) y)
(fma.f64 #s(literal -1 binary64) (neg.f64 y) (neg.f64 x))
(fma.f64 #s(literal -1 binary64) (-.f64 x y) (*.f64 (-.f64 y x) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (-.f64 x y) (*.f64 #s(literal 0 binary64) (-.f64 y x)))
(fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) (neg.f64 y)))
(fma.f64 #s(literal -1 binary64) x y)
(fma.f64 (neg.f64 x) #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (neg.f64 y)))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) y)
(fma.f64 (.f64 #s(literal 1/2 binary64) (-.f64 y x)) #s(literal 2 binary64) (.f64 (-.f64 y x) #s(literal 0 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (-.f64 y x)) #s(literal 2 binary64) (.f64 #s(literal 0 binary64) (-.f64 y x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x x) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x x) #s(literal -1 binary64)) y)
(fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal -2 binary64) (-.f64 x y)) (.f64 (-.f64 y x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal -2 binary64) (-.f64 x y)) (.f64 #s(literal 0 binary64) (-.f64 y x)))
(fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -1 binary64) (neg.f64 y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) x) y)
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 #s(literal -1 binary64) (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) y)
(fma.f64 #s(literal 1 binary64) (-.f64 y x) (*.f64 (-.f64 y x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 y x) (*.f64 #s(literal 0 binary64) (-.f64 y x)))
(fma.f64 (+.f64 x x) #s(literal -1/2 binary64) (*.f64 #s(literal -1 binary64) (neg.f64 y)))
(fma.f64 (+.f64 x x) #s(literal -1/2 binary64) y)
(fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal -2 binary64) (.f64 #s(literal -1 binary64) (neg.f64 y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -2 binary64) y)
(fma.f64 #s(literal -2 binary64) (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal -1 binary64) (neg.f64 y)))
(fma.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) x) y)
(fma.f64 (-.f64 y x) #s(literal 1 binary64) (*.f64 (-.f64 y x) #s(literal 0 binary64)))
(fma.f64 (-.f64 y x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (-.f64 y x)))
(fma.f64 #s(literal -1/2 binary64) (+.f64 x x) (*.f64 #s(literal -1 binary64) (neg.f64 y)))
(fma.f64 #s(literal -1/2 binary64) (+.f64 x x) y)
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal -1 binary64) (neg.f64 y)))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) x) y)
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 y x)) (.f64 (-.f64 y x) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 y x)) (.f64 #s(literal 0 binary64) (-.f64 y x)))
(fma.f64 (-.f64 x y) #s(literal -1 binary64) (*.f64 (-.f64 y x) #s(literal 0 binary64)))
(fma.f64 (-.f64 x y) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (-.f64 y x)))
(fma.f64 x #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (neg.f64 y)))
(fma.f64 x #s(literal -1 binary64) y)
(-.f64 (neg.f64 x) (neg.f64 y))
(-.f64 y x)
(+.f64 (*.f64 #s(literal -1 binary64) (neg.f64 y)) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (neg.f64 y)))
(+.f64 (neg.f64 x) y)
(+.f64 (-.f64 y x) (*.f64 (-.f64 y x) #s(literal 0 binary64)))
(+.f64 (-.f64 y x) (*.f64 #s(literal 0 binary64) (-.f64 y x)))
(+.f64 y (neg.f64 x))

eval72.0ms (3.6%)

Memory: -19.2MiB live, 126.0MiB allocated; 16ms collecting garbage
Compiler: Compiled 1 818 to 831 computations (54.3% saved)

prune8.0ms (0.4%)

Memory

21.9MiB live, 21.9MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	428	1	429
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	428	5	433

Accuracy

100.0%

Counts

433 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
▶	61.6%	(fma.f64 #s(approx (- y x) y) #s(literal -1/2 binary64) x)
✓	100.0%	(fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) y))
✓	46.8%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
✓	53.7%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 35 to 35 computations (0% saved)

series35.0ms (1.7%)

Memory

-37.1MiB live, 10.2MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	218

Stop Event

1×	iter-limit

Counts

5 → 18

Calls

Call 1

Inputs
(fma.f64 #s(approx (- y x) y) #s(literal -1/2 binary64) x)
#s(approx (- y x) y)
y
#s(literal -1/2 binary64)
x

Outputs
#s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ (* (- y x) -1/2) x) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x)))
#s(approx (- y x) y)
#s(approx (- y x) (+.f64 y (*.f64 #s(literal -1 binary64) x)))
#s(approx x x)
#s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (+ (* (- y x) -1/2) x) (.f64 x (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 y x)))))
#s(approx (- y x) (*.f64 #s(literal -1 binary64) x))
#s(approx (- y x) (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))
#s(approx (+ (* (- y x) -1/2) x) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 3/2 binary64)))))
#s(approx (- y x) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))))
#s(approx (+ (* (- y x) -1/2) x) (+.f64 x (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (* (- y x) -1/2) x) (+.f64 x (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (- y x) (-.f64 y x))
#s(approx (+ (* (- y x) -1/2) x) (*.f64 y (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 x y)) #s(literal 1/2 binary64))))
#s(approx (- y x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 x y)))))
#s(approx (+ (* (- y x) -1/2) x) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) x)) y))))))
#s(approx (- y x) (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))))

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	-inf	((+ (* (- y x) -1/2) x) (- y x) y -1/2 x)
0.0ms	x	@	-inf	((+ (* (- y x) -1/2) x) (- y x) y -1/2 x)
0.0ms	x	@	inf	((+ (* (- y x) -1/2) x) (- y x) y -1/2 x)
0.0ms	y	@	inf	((+ (* (- y x) -1/2) x) (- y x) y -1/2 x)
0.0ms	x	@	0	((+ (* (- y x) -1/2) x) (- y x) y -1/2 x)

rewrite285.0ms (14.1%)

Memory

-9.8MiB live, 245.7MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	8	16
1	45	16
2	112	16
3	263	16
4	455	16
5	801	16
6	3743	16
0	8096	16
1	14671	16

Stop Event

1×	saturated
1×	node-limit
1×	iter-limit

Counts

5 → 121

Calls

Call 1

Inputs
(fma.f64 #s(approx (- y x) y) #s(literal -1/2 binary64) x)
#s(approx (- y x) y)
y
#s(literal -1/2 binary64)
x

Outputs
(/.f64 (fma.f64 x #s(literal 2 binary64) (neg.f64 #s(approx (- y x) y))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- y x) y)) #s(literal 2 binary64))
(neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (- y x) y)) x))
(fma.f64 (*.f64 (neg.f64 #s(approx (- y x) y)) #s(literal 1/8 binary64)) #s(literal 4 binary64) x)
(fma.f64 (*.f64 (neg.f64 #s(approx (- y x) y)) #s(literal 2 binary64)) #s(literal 1/4 binary64) x)
(fma.f64 (/.f64 (neg.f64 #s(approx (- y x) y)) #s(literal -16 binary64)) #s(literal -8 binary64) x)
(fma.f64 (/.f64 (neg.f64 #s(approx (- y x) y)) #s(literal 16 binary64)) #s(literal 8 binary64) x)
(fma.f64 (/.f64 (neg.f64 #s(approx (- y x) y)) #s(literal -8 binary64)) #s(literal -4 binary64) x)
(fma.f64 (/.f64 (neg.f64 #s(approx (- y x) y)) #s(literal -4 binary64)) #s(literal -2 binary64) x)
(fma.f64 (/.f64 (neg.f64 #s(approx (- y x) y)) #s(literal 8 binary64)) #s(literal 4 binary64) x)
(fma.f64 (/.f64 (neg.f64 #s(approx (- y x) y)) #s(literal 4 binary64)) #s(literal 2 binary64) x)
(fma.f64 (*.f64 (neg.f64 #s(approx (- y x) y)) #s(literal 1/4 binary64)) #s(literal 2 binary64) x)
(fma.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 4 binary64) (neg.f64 #s(approx (- y x) y))) x)
(fma.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 #s(approx (- y x) y))) x)
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (neg.f64 #s(approx (- y x) y))) x)
(fma.f64 #s(literal 1/2 binary64) (neg.f64 #s(approx (- y x) y)) x)
(fma.f64 (neg.f64 #s(approx (- y x) y)) #s(literal 1/2 binary64) x)
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) #s(approx (- y x) y)) x)
(fma.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (- y x) y)) #s(literal 1 binary64) x)
(fma.f64 #s(literal -1/2 binary64) #s(approx (- y x) y) x)
(fma.f64 #s(approx (- y x) y) #s(literal -1/2 binary64) x)
(-.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (- y x) y)) (neg.f64 x))
(-.f64 x (*.f64 #s(literal 1/2 binary64) #s(approx (- y x) y)))
(+.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (- y x) y)) x)
(+.f64 x (*.f64 #s(literal -1/2 binary64) #s(approx (- y x) y)))
(.f64 (.f64 #s(approx (- y x) y) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(.f64 (.f64 #s(approx (- y x) y) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(.f64 (.f64 #s(approx (- y x) y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 #s(approx (- y x) y) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(.f64 (.f64 #s(approx (- y x) y) #s(literal -1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1/4 binary64) (.f64 #s(literal 4 binary64) #s(approx (- y x) y)))
(.f64 #s(literal 4 binary64) (.f64 #s(literal 1/4 binary64) #s(approx (- y x) y)))
(.f64 #s(literal -2 binary64) (.f64 #s(literal -1/2 binary64) #s(approx (- y x) y)))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) #s(approx (- y x) y)))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) #s(approx (- y x) y)))
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) #s(approx (- y x) y)))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (- y x) y)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (- y x) y))
(.f64 (.f64 #s(literal -1/2 binary64) #s(approx (- y x) y)) #s(literal -2 binary64))
(.f64 #s(literal -1/2 binary64) (.f64 #s(literal -2 binary64) #s(approx (- y x) y)))
(*.f64 #s(approx (- y x) y) #s(literal 1 binary64))
#s(approx (- y x) y)
(/.f64 (*.f64 #s(approx (- y x) y) #s(literal -4 binary64)) #s(literal -4 binary64))
(/.f64 (*.f64 #s(approx (- y x) y) (E.f64)) (E.f64))
(/.f64 (*.f64 #s(approx (- y x) y) #s(literal 8 binary64)) #s(literal 8 binary64))
(/.f64 (*.f64 #s(approx (- y x) y) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 #s(approx (- y x) y) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 #s(approx (- y x) y) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -4 binary64) #s(approx (- y x) y)) #s(literal -4 binary64))
(/.f64 (*.f64 (E.f64) #s(approx (- y x) y)) (E.f64))
(/.f64 (*.f64 #s(literal 8 binary64) #s(approx (- y x) y)) #s(literal 8 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) #s(approx (- y x) y)) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) #s(approx (- y x) y)) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) #s(approx (- y x) y)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) #s(approx (- y x) y)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(approx (- y x) y) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (- y x) y)) #s(literal 1/2 binary64))
(/.f64 #s(approx (- y x) y) #s(literal 1 binary64))
(neg.f64 (*.f64 #s(literal -1 binary64) #s(approx (- y x) y)))
(neg.f64 (*.f64 #s(approx (- y x) y) #s(literal -1 binary64)))
(neg.f64 (neg.f64 #s(approx (- y x) y)))
(fma.f64 (.f64 #s(approx (- y x) y) #s(literal 1/8 binary64)) #s(literal 4 binary64) (.f64 #s(literal 1/2 binary64) #s(approx (- y x) y)))
(fma.f64 (.f64 #s(approx (- y x) y) #s(literal 4 binary64)) #s(literal 1/4 binary64) (.f64 #s(approx (- y x) y) #s(literal 0 binary64)))
(fma.f64 (.f64 #s(approx (- y x) y) #s(literal 4 binary64)) #s(literal 1/4 binary64) (.f64 #s(literal 0 binary64) #s(approx (- y x) y)))
(fma.f64 (.f64 #s(approx (- y x) y) #s(literal -2 binary64)) #s(literal -1/2 binary64) (.f64 #s(approx (- y x) y) #s(literal 0 binary64)))
(fma.f64 (.f64 #s(approx (- y x) y) #s(literal -2 binary64)) #s(literal -1/2 binary64) (.f64 #s(literal 0 binary64) #s(approx (- y x) y)))
(fma.f64 (.f64 #s(approx (- y x) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) #s(approx (- y x) y)))
(fma.f64 (.f64 #s(approx (- y x) y) #s(literal 2 binary64)) #s(literal 1/2 binary64) (.f64 #s(approx (- y x) y) #s(literal 0 binary64)))
(fma.f64 (.f64 #s(approx (- y x) y) #s(literal 2 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 0 binary64) #s(approx (- y x) y)))
(fma.f64 (/.f64 #s(approx (- y x) y) #s(literal -16 binary64)) #s(literal -8 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (- y x) y)))
(fma.f64 (/.f64 #s(approx (- y x) y) #s(literal 16 binary64)) #s(literal 8 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (- y x) y)))
(fma.f64 (/.f64 #s(approx (- y x) y) #s(literal -8 binary64)) #s(literal -4 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (- y x) y)))
(fma.f64 (/.f64 #s(approx (- y x) y) #s(literal -4 binary64)) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (- y x) y)))
(fma.f64 (/.f64 #s(approx (- y x) y) #s(literal 8 binary64)) #s(literal 4 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (- y x) y)))
(fma.f64 (/.f64 #s(approx (- y x) y) #s(literal 4 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (- y x) y)))
(fma.f64 (.f64 #s(approx (- y x) y) #s(literal 1/4 binary64)) #s(literal 4 binary64) (.f64 #s(approx (- y x) y) #s(literal 0 binary64)))
(fma.f64 (.f64 #s(approx (- y x) y) #s(literal 1/4 binary64)) #s(literal 4 binary64) (.f64 #s(literal 0 binary64) #s(approx (- y x) y)))
(fma.f64 (.f64 #s(approx (- y x) y) #s(literal 1/4 binary64)) #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) #s(approx (- y x) y)))
(fma.f64 (.f64 #s(approx (- y x) y) #s(literal -1 binary64)) #s(literal -1 binary64) (.f64 #s(approx (- y x) y) #s(literal 0 binary64)))
(fma.f64 (.f64 #s(approx (- y x) y) #s(literal -1 binary64)) #s(literal -1 binary64) (.f64 #s(literal 0 binary64) #s(approx (- y x) y)))
(fma.f64 #s(literal 1/8 binary64) (.f64 #s(literal 4 binary64) #s(approx (- y x) y)) (.f64 #s(literal 1/2 binary64) #s(approx (- y x) y)))
(fma.f64 #s(literal 1/4 binary64) (.f64 #s(literal 4 binary64) #s(approx (- y x) y)) (.f64 #s(approx (- y x) y) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/4 binary64) (.f64 #s(literal 4 binary64) #s(approx (- y x) y)) (.f64 #s(literal 0 binary64) #s(approx (- y x) y)))
(fma.f64 #s(literal 1/4 binary64) (.f64 #s(literal 2 binary64) #s(approx (- y x) y)) (.f64 #s(literal 1/2 binary64) #s(approx (- y x) y)))
(fma.f64 #s(literal 4 binary64) (.f64 #s(literal 1/4 binary64) #s(approx (- y x) y)) (.f64 #s(approx (- y x) y) #s(literal 0 binary64)))
(fma.f64 #s(literal 4 binary64) (.f64 #s(literal 1/4 binary64) #s(approx (- y x) y)) (.f64 #s(literal 0 binary64) #s(approx (- y x) y)))
(fma.f64 #s(literal -2 binary64) (.f64 #s(literal -1/2 binary64) #s(approx (- y x) y)) (.f64 #s(approx (- y x) y) #s(literal 0 binary64)))
(fma.f64 #s(literal -2 binary64) (.f64 #s(literal -1/2 binary64) #s(approx (- y x) y)) (.f64 #s(literal 0 binary64) #s(approx (- y x) y)))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) #s(approx (- y x) y)) (.f64 #s(approx (- y x) y) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) #s(approx (- y x) y)) (.f64 #s(literal 0 binary64) #s(approx (- y x) y)))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal 1/4 binary64) #s(approx (- y x) y)) (.f64 #s(literal 1/2 binary64) #s(approx (- y x) y)))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) #s(approx (- y x) y)) (.f64 #s(approx (- y x) y) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) #s(approx (- y x) y)) (.f64 #s(literal 0 binary64) #s(approx (- y x) y)))
(fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) #s(approx (- y x) y)) (.f64 #s(approx (- y x) y) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) #s(approx (- y x) y)) (.f64 #s(literal 0 binary64) #s(approx (- y x) y)))
(fma.f64 #s(literal 1/2 binary64) #s(approx (- y x) y) (*.f64 #s(literal 1/2 binary64) #s(approx (- y x) y)))
(fma.f64 (.f64 #s(literal 1/2 binary64) #s(approx (- y x) y)) #s(literal 2 binary64) (.f64 #s(approx (- y x) y) #s(literal 0 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) #s(approx (- y x) y)) #s(literal 2 binary64) (.f64 #s(literal 0 binary64) #s(approx (- y x) y)))
(fma.f64 (.f64 #s(literal 1/2 binary64) #s(approx (- y x) y)) #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) #s(approx (- y x) y)))
(fma.f64 (neg.f64 #s(approx (- y x) y)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (- y x) y)))
(fma.f64 #s(literal 0 binary64) #s(approx (- y x) y) #s(approx (- y x) y))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) #s(approx (- y x) y)) (.f64 #s(literal 1/2 binary64) #s(approx (- y x) y)))
(fma.f64 #s(literal 1 binary64) #s(approx (- y x) y) (*.f64 #s(approx (- y x) y) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) #s(approx (- y x) y) (*.f64 #s(literal 0 binary64) #s(approx (- y x) y)))
(fma.f64 (.f64 #s(literal -1/2 binary64) #s(approx (- y x) y)) #s(literal -2 binary64) (.f64 #s(approx (- y x) y) #s(literal 0 binary64)))
(fma.f64 (.f64 #s(literal -1/2 binary64) #s(approx (- y x) y)) #s(literal -2 binary64) (.f64 #s(literal 0 binary64) #s(approx (- y x) y)))
(fma.f64 #s(literal -1/2 binary64) (.f64 #s(literal -2 binary64) #s(approx (- y x) y)) (.f64 #s(approx (- y x) y) #s(literal 0 binary64)))
(fma.f64 #s(literal -1/2 binary64) (.f64 #s(literal -2 binary64) #s(approx (- y x) y)) (.f64 #s(literal 0 binary64) #s(approx (- y x) y)))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 #s(approx (- y x) y)) (*.f64 #s(literal 1/2 binary64) #s(approx (- y x) y)))
(fma.f64 #s(approx (- y x) y) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (- y x) y)))
(fma.f64 #s(approx (- y x) y) #s(literal 0 binary64) #s(approx (- y x) y))
(fma.f64 #s(approx (- y x) y) #s(literal 1 binary64) (*.f64 #s(approx (- y x) y) #s(literal 0 binary64)))
(fma.f64 #s(approx (- y x) y) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) #s(approx (- y x) y)))
(+.f64 (*.f64 #s(approx (- y x) y) #s(literal 0 binary64)) #s(approx (- y x) y))
(+.f64 (*.f64 #s(literal 0 binary64) #s(approx (- y x) y)) #s(approx (- y x) y))
(+.f64 (.f64 #s(literal 1/2 binary64) #s(approx (- y x) y)) (.f64 #s(literal 1/2 binary64) #s(approx (- y x) y)))
(+.f64 #s(approx (- y x) y) (*.f64 #s(approx (- y x) y) #s(literal 0 binary64)))
(+.f64 #s(approx (- y x) y) (*.f64 #s(literal 0 binary64) #s(approx (- y x) y)))
y
#s(literal -1/2 binary64)
x

eval14.0ms (0.7%)

Memory: 35.3MiB live, 35.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 859 to 341 computations (60.3% saved)

prune9.0ms (0.4%)

Memory

-40.9MiB live, 12.3MiB allocated; 7ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	133	5	138

Accuracy

100.0%

Counts

138 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
✓	61.6%	(fma.f64 #s(approx (- y x) y) #s(literal -1/2 binary64) x)
✓	100.0%	(fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) y))
✓	46.8%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
✓	53.7%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 61 to 57 computations (6.6% saved)

regimes8.0ms (0.4%)

Memory

19.7MiB live, 19.7MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
(fma.f64 #s(approx (- y x) y) #s(literal -1/2 binary64) x)
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) y))
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))

Outputs
(fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) y))

Calls

3 calls:

3.0ms	y
2.0ms	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
2.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes6.0ms (0.3%)

Memory

16.7MiB live, 16.7MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
(fma.f64 #s(approx (- y x) y) #s(literal -1/2 binary64) x)
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)

Outputs
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)

Calls

3 calls:

2.0ms	y
2.0ms	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
2.0ms	x

Results

Accuracy	Segments	Branch
99.9%	1	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`
99.9%	1	`x`
99.9%	1	`y`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes7.0ms (0.4%)

Memory

-31.5MiB live, 15.1MiB allocated; 2ms collecting garbage

Counts

3 → 3

Calls

Call 1

Inputs
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
(fma.f64 #s(approx (- y x) y) #s(literal -1/2 binary64) x)

Outputs
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
(fma.f64 #s(approx (- y x) y) #s(literal -1/2 binary64) x)
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))

Calls

3 calls:

4.0ms	x
2.0ms	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
2.0ms	y

Results

Accuracy	Segments	Branch
61.6%	1	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`
79.9%	3	`x`
78.2%	3	`y`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes3.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB allocated; 0ms collecting garbage

Counts

2 → 3

Calls

Call 1

Inputs
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))

Outputs
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))

Calls

2 calls:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
76.6%	3	`y`
77.4%	3	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes3.0ms (0.2%)

Memory

11.1MiB live, 11.1MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))

Outputs
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))

Calls

3 calls:

1.0ms	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
53.7%	1	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`
53.7%	1	`y`
53.7%	1	`x`

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch14.0ms (0.7%)

Memory

-19.0MiB live, 27.7MiB allocated; 3ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	2.7303699836472053e+55	2.1410829032273284e+59
3.0ms	-8.897172268997896e+94	-8.016803206283887e+94

Samples

6.0ms	149×	0	valid
0.0ms	5×	2	valid
0.0ms	5×	1	valid
0.0ms	1×	3	valid

Compiler

Compiled 160 to 181 computations (-13.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div!: 1.0ms (45.1% of total)

ival-sub!: 1.0ms (45.1% of total)

adjust: 0.0ms (0% of total)

ival-add!: 0.0ms (0% of total)

bsearch9.0ms (0.5%)

Memory

16.2MiB live, 16.2MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	7.856367573767543e-122	5.83636702839114e-120
1.0ms	-8.897172268997896e+94	-8.016803206283887e+94

Samples

4.0ms	125×	0	valid
0.0ms	2×	1	valid
0.0ms	1×	2	valid

Compiler

Compiled 172 to 191 computations (-11% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-div!: 1.0ms (70.3% of total)

adjust: 0.0ms (0% of total)

ival-add!: 0.0ms (0% of total)

ival-sub!: 0.0ms (0% of total)

derivations69.0ms (3.4%)

Memory

21.2MiB live, 66.7MiB allocated; 5ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 34 to 30 computations (11.8% saved)

preprocess54.0ms (2.7%)

Memory: -20.2MiB live, 74.8MiB allocated; 11ms collecting garbage
Compiler: Compiled 40 to 36 computations (10% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze0.0ms (0%)

sample762.0ms (37.7%)

preprocess153.0ms (7.6%)

series8.0ms (0.4%)

rewrite299.0ms (14.8%)

eval68.0ms (3.3%)

prune11.0ms (0.6%)

series9.0ms (0.5%)

rewrite119.0ms (5.9%)

eval72.0ms (3.6%)

prune8.0ms (0.4%)

series35.0ms (1.7%)

rewrite285.0ms (14.1%)

eval14.0ms (0.7%)

prune9.0ms (0.4%)

regimes8.0ms (0.4%)

regimes6.0ms (0.3%)

regimes7.0ms (0.4%)

regimes3.0ms (0.1%)

regimes3.0ms (0.2%)

bsearch14.0ms (0.7%)

bsearch9.0ms (0.5%)

derivations69.0ms (3.4%)

preprocess54.0ms (2.7%)

end0.0ms (0%)

Profiling