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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB 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)

sample620.0ms (30.8%)

Memory

-10.9MiB live, 567.1MiB allocated; 134ms collecting garbage

Samples

289.0ms	7 616×	0	valid
52.0ms	143×	3	valid
27.0ms	296×	1	valid
18.0ms	201×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 174.0ms

ival-div!: 92.0ms (52.8% of total)

ival-sub!: 34.0ms (19.5% of total)

ival-add!: 26.0ms (14.9% of total)

adjust: 22.0ms (12.6% of total)

Bogosity

preprocess25.0ms (1.2%)

Memory

-18.9MiB live, 30.4MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	46
1	83	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 14 to 12 computations (14.3% saved)

series122.0ms (6.1%)

Memory

13.2MiB live, 104.3MiB allocated; 14ms collecting garbage

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
1.0ms	x	inf
1.0ms	x	-inf
1.0ms	y	-inf
1.0ms	y	0
0.0ms	y	inf

rewrite197.0ms (9.8%)

Memory

-1.3MiB live, 153.9MiB allocated; 101ms collecting garbage

Counts

6 → 16

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

eval4.0ms (0.2%)

Memory: 7.6MiB live, 7.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 449 to 140 computations (68.8% saved)

prune3.0ms (0.2%)

Memory

5.0MiB live, 5.0MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	30	5	35
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	31	5	36

Accuracy

100.0%

Counts

36 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
▶	87.9%	(+.f64 x #s(approx (/ (- x y) 2) (.f64 y (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))))
▶	87.7%	#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))))
▶	48.6%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
▶	51.8%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 130 to 94 computations (27.7% saved)

series182.0ms (9.1%)

Memory

-23.2MiB live, 119.0MiB allocated; 33ms collecting garbage

Counts

21 → 41

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
4.0ms	y	-inf
4.0ms	x	-inf
2.0ms	x	inf
2.0ms	x	0
2.0ms	y	inf

rewrite268.0ms (13.4%)

Memory

19.2MiB live, 199.3MiB allocated; 81ms collecting garbage

Counts

21 → 57

Calls

Call 1

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

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

eval9.0ms (0.4%)

Memory: 21.5MiB live, 21.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 739 to 368 computations (78.8% saved)

prune5.0ms (0.2%)

Memory

10.2MiB live, 10.2MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	90	4	94
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	92	7	99

Accuracy

100.0%

Counts

99 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
▶	87.8%	(+.f64 x #s(approx (/ (- x y) 2) (.f64 y (-.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))))
▶	59.9%	(+.f64 x #s(approx (/ (- x y) 2) (.f64 y #s(approx (- ( 1/2 (/ x y)) 1/2) #s(literal -1/2 binary64)))))
▶	87.7%	#s(approx (+ x (/ (- x y) 2)) (*.f64 (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)) y))
▶	87.8%	#s(approx (+ x (/ (- x y) 2)) (.f64 y (-.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) y) (/.f64 (.f64 #s(literal 1/2 binary64) x) y)) #s(literal 1/2 binary64))))
✓	48.6%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
✓	51.8%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 104 to 78 computations (25% saved)

series151.0ms (7.5%)

Memory

-10.7MiB live, 126.1MiB allocated; 39ms collecting garbage

Counts

27 → 38

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
9.0ms	x	inf
4.0ms	y	-inf
4.0ms	x	-inf
2.0ms	y	inf
2.0ms	y	0

rewrite227.0ms (11.3%)

Memory

-6.8MiB live, 88.5MiB allocated; 57ms collecting garbage

Counts

27 → 29

Calls

Call 1

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

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

eval6.0ms (0.3%)

Memory: 9.1MiB live, 9.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 118 to 248 computations (77.8% saved)

prune4.0ms (0.2%)

Memory

4.9MiB live, 4.9MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	0	0
Picked	0	4	4
Done	0	3	3
Total	45	7	52

Accuracy

100.0%

Counts

52 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
✓	87.8%	(+.f64 x #s(approx (/ (- x y) 2) (.f64 y (-.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))))
✓	59.9%	(+.f64 x #s(approx (/ (- x y) 2) (.f64 y #s(approx (- ( 1/2 (/ x y)) 1/2) #s(literal -1/2 binary64)))))
✓	87.7%	#s(approx (+ x (/ (- x y) 2)) (*.f64 (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)) y))
✓	87.8%	#s(approx (+ x (/ (- x y) 2)) (.f64 y (-.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) y) (/.f64 (.f64 #s(literal 1/2 binary64) x) y)) #s(literal 1/2 binary64))))
✓	48.6%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
✓	51.8%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 104 to 78 computations (25% saved)

regimes28.0ms (1.4%)

Memory

-6.7MiB live, 38.1MiB allocated; 6ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

2 → 3

3 → 3

10 → 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))

Call 2

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 -1/2 binary64) y))
#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))

Call 3

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))

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

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

Outputs

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

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

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

Call 4

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

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

Calls

10 calls:

8.0ms	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
4.0ms	y
4.0ms	x
2.0ms	y
2.0ms	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
51.8%	1	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`
51.8%	1	`x`
51.8%	1	`y`
78.0%	3	`y`
62.8%	2	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`
77.8%	3	`x`
79.9%	3	`y`
99.9%	1	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`
99.9%	1	`x`
99.9%	1	`y`

Compiler

Compiled 176 to 85 computations (51.7% saved)

bsearch23.0ms (1.1%)

Memory

-19.2MiB live, 26.7MiB allocated; 4ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	5.873809500222e+55	3.567958392519481e+56
12.0ms	-6.930652889212724e-40	-7.580832512317473e-57

Samples

7.0ms	238×	0	valid
1.0ms	1×	3	valid
1.0ms	8×	2	valid
1.0ms	9×	1	valid

Compiler

Compiled 490 to 411 computations (16.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-sub!: 2.0ms (42.6% of total)

ival-div!: 1.0ms (21.3% of total)

ival-add!: 1.0ms (21.3% of total)

adjust: 0.0ms (0% of total)

bsearch48.0ms (2.4%)

Memory

10.5MiB live, 10.5MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
46.0ms	5.873809500222e+55	3.567958392519481e+56
1.0ms	-6.930652889212724e-40	-7.580832512317473e-57

Samples

39.0ms	76×	0	valid
1.0ms	3×	2	valid
0.0ms	1×	1	valid

Compiler

Compiled 362 to 331 computations (8.6% saved)

Precisions

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

ival-div!: 1.0ms (58.6% of total)

adjust: 0.0ms (0% of total)

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

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

derivations2.0ms (0.1%)

Memory

1.5MiB live, 1.5MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 115 to 33 computations (71.3% saved)

preprocess85.0ms (4.2%)

Memory: -3.2MiB live, 52.4MiB allocated; 83ms collecting garbage
Compiler: Compiled 122 to 39 computations (68% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample620.0ms (30.8%)

preprocess25.0ms (1.2%)

series122.0ms (6.1%)

rewrite197.0ms (9.8%)

eval4.0ms (0.2%)

prune3.0ms (0.2%)

series182.0ms (9.1%)

rewrite268.0ms (13.4%)

eval9.0ms (0.4%)

prune5.0ms (0.2%)

series151.0ms (7.5%)

rewrite227.0ms (11.3%)

eval6.0ms (0.3%)

prune4.0ms (0.2%)

regimes28.0ms (1.4%)

bsearch23.0ms (1.1%)

bsearch48.0ms (2.4%)

derivations2.0ms (0.1%)

preprocess85.0ms (4.2%)

end0.0ms (0%)

Profiling