Metrics for Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1

start0.0ms (0%)

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

analyze27.0ms (1%)

Memory

1.1MiB live, 1.1MiB 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 11 to 10 computations (9.1% saved)

sample767.0ms (29.3%)

Memory

9.7MiB live, 823.0MiB allocated; 222ms collecting garbage

Samples

522.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 188.0ms

ival-div!: 94.0ms (50% of total)

ival-mult!: 50.0ms (26.6% of total)

ival-add!: 42.0ms (22.3% of total)

adjust: 1.0ms (0.5% of total)

Bogosity

preprocess63.0ms (2.4%)

Memory

-9.3MiB live, 42.6MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	97
1	124	97

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)

Compiler

Compiled 18 to 16 computations (11.1% saved)

series142.0ms (5.4%)

Memory

1.6MiB live, 81.9MiB allocated; 50ms collecting garbage

Counts

8 → 19

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable	Point
2.0ms	x	inf
2.0ms	x	-inf
1.0ms	y	-inf
1.0ms	x	0
1.0ms	y	inf

rewrite306.0ms (11.7%)

Memory

-10.7MiB live, 123.5MiB allocated; 194ms collecting garbage

Counts

8 → 68

Calls

Call 1

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

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

eval10.0ms (0.4%)

Memory: 10.1MiB live, 10.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 907 to 234 computations (74.2% saved)

prune15.0ms (0.6%)

Memory

-47.9MiB live, 6.5MiB allocated; 18ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	77	4	81
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	78	4	82

Accuracy

100.0%

Counts

82 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z))
▶	100.0%	(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)
▶	62.6%	#s(approx (+ (+ (/ x 2) (* y x)) z) (+.f64 z (*.f64 #s(literal 1/2 binary64) x)))
▶	38.5%	#s(approx (+ (+ (/ x 2) (* y x)) z) z)

Compiler

Compiled 39 to 33 computations (15.4% saved)

series107.0ms (4.1%)

Memory

43.1MiB live, 43.1MiB allocated; 0ms collecting garbage

Counts

12 → 27

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable	Point
1.0ms	x	-inf
1.0ms	y	-inf
1.0ms	x	inf
1.0ms	z	-inf
1.0ms	x	0

rewrite162.0ms (6.2%)

Memory

-26.1MiB live, 115.5MiB allocated; 22ms collecting garbage

Counts

12 → 54

Calls

Call 1

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

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

eval5.0ms (0.2%)

Memory: 14.1MiB live, 14.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 823 to 189 computations (77% saved)

prune33.0ms (1.2%)

Memory

7.7MiB live, 7.7MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	52	5	57
Fresh	0	0	0
Picked	3	1	4
Done	0	0	0
Total	55	6	61

Accuracy

100.0%

Counts

61 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
▶	62.6%	(fma.f64 x #s(approx (+ y 1/2) #s(literal 1/2 binary64)) z)
▶	61.7%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x (*.f64 x y)))
▶	61.8%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
▶	39.1%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x y))
✓	38.5%	#s(approx (+ (+ (/ x 2) (* y x)) z) z)

Compiler

Compiled 127 to 105 computations (17.3% saved)

series127.0ms (4.8%)

Memory

-34.5MiB live, 58.2MiB allocated; 20ms collecting garbage

Counts

16 → 25

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable	Point
7.0ms	y	inf
3.0ms	x	-inf
2.0ms	x	inf
2.0ms	x	0
1.0ms	y	0

rewrite177.0ms (6.8%)

Memory

25.8MiB live, 169.1MiB allocated; 15ms collecting garbage

Counts

16 → 55

Calls

Call 1

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

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

eval6.0ms (0.2%)

Memory: 15.5MiB live, 15.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 974 to 208 computations (78.6% saved)

prune5.0ms (0.2%)

Memory

-36.7MiB live, 10.3MiB allocated; 1ms collecting garbage

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	63	2	65
Fresh	0	0	0
Picked	1	4	5
Done	0	1	1
Total	64	7	71

Accuracy

100.0%

Counts

71 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
✓	62.6%	(fma.f64 x #s(approx (+ y 1/2) #s(literal 1/2 binary64)) z)
✓	61.7%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x (*.f64 x y)))
▶	61.8%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
✓	39.1%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x y))
▶	25.2%	#s(approx (+ (+ (/ x 2) (* y x)) z) #s(approx (* x (+ 1/2 y)) (*.f64 #s(literal 1/2 binary64) x)))
✓	38.5%	#s(approx (+ (+ (/ x 2) (* y x)) z) z)

Compiler

Compiled 88 to 72 computations (18.2% saved)

series104.0ms (4%)

Memory

2.2MiB live, 97.1MiB allocated; 12ms collecting garbage

Counts

10 → 22

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable	Point
1.0ms	x	-inf
1.0ms	x	inf
1.0ms	y	-inf
0.0ms	x	0
0.0ms	y	inf

rewrite182.0ms (7%)

Memory

10.5MiB live, 206.7MiB allocated; 66ms collecting garbage

Counts

10 → 28

Calls

Call 1

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

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

eval4.0ms (0.2%)

Memory: 12.6MiB live, 12.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 804 to 173 computations (78.5% saved)

prune32.0ms (1.2%)

Memory

9.4MiB live, 9.4MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	42	0	42
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	42	7	49

Accuracy

100.0%

Counts

49 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
✓	62.6%	(fma.f64 x #s(approx (+ y 1/2) #s(literal 1/2 binary64)) z)
✓	61.7%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x (*.f64 x y)))
✓	61.8%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
✓	39.1%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x y))
✓	25.2%	#s(approx (+ (+ (/ x 2) (* y x)) z) #s(approx (* x (+ 1/2 y)) (*.f64 #s(literal 1/2 binary64) x)))
✓	38.5%	#s(approx (+ (+ (/ x 2) (* y x)) z) z)

Compiler

Compiled 88 to 72 computations (18.2% saved)

regimes175.0ms (6.7%)

Memory

-18.5MiB live, 261.7MiB allocated; 74ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

2 → 3

3 → 5

7 → 3

10 → 1

12 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (/ x 2) (* y x)) z) z)

Outputs
#s(approx (+ (+ (/ x 2) (* y x)) z) z)

Call 2

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

Outputs

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

#s(approx (+ (+ (/ x 2) (* y x)) z) z)

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

Call 3

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

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

Call 4

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

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

Call 5

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

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

Call 6

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

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

Calls

29 calls:

29.0ms	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
23.0ms	z
13.0ms	z
6.0ms	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
4.0ms	y

Results

Accuracy	Segments	Branch
38.5%	1	`y`
38.5%	1	`z`
38.5%	1	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
38.5%	1	`x`
38.5%	1	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
48.5%	3	`z`
51.2%	3	`x`
38.5%	1	`y`
49.3%	3	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
55.0%	3	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
55.8%	3	`z`
58.5%	3	`x`
70.1%	5	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
66.0%	3	`y`
89.7%	3	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
78.8%	3	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
82.2%	3	`x`
89.7%	3	`y`
79.0%	3	`z`
100.0%	1	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
100.0%	1	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
100.0%	1	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`

Compiler

Compiled 245 to 178 computations (27.3% saved)

bsearch42.0ms (1.6%)

Memory

5.4MiB live, 52.5MiB allocated; 5ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	4.2124271225955604e+54	1.1101117729095501e+61
17.0ms	-2.6579888385703255e+75	-1.4191993990751945e+68

Samples

18.0ms

288×

valid

Compiler

Compiled 390 to 374 computations (4.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-add!: 2.0ms (28.5% of total)

ival-div!: 2.0ms (28.5% of total)

ival-mult!: 2.0ms (28.5% of total)

adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated; 0ms collecting garbage

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	3.726917981262284e+264	7.686205613901538e+267
0.0ms	5.339940433757967e+115	5.066853267185687e+123
0.0ms	3.5170976858257776e+51	1.550945251244497e+64
0.0ms	-2.2242259774625633e+122	-7.869598268075913e+118

Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch77.0ms (2.9%)

Memory

-7.6MiB live, 42.9MiB allocated; 26ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
60.0ms	2.904609590963535e+85	1.791786782047054e+89
13.0ms	-1.0103185060831658e+137	-1.5739196536151826e+119

Samples

60.0ms

288×

valid

Compiler

Compiled 552 to 482 computations (12.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-add!: 27.0ms (51.8% of total)

ival-mult!: 23.0ms (44.1% of total)

ival-div!: 2.0ms (3.8% of total)

adjust: 0.0ms (0% of total)

derivations4.0ms (0.2%)

Memory

3.9MiB live, 3.9MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 232 to 54 computations (76.7% saved)

preprocess48.0ms (1.8%)

Memory: 20.4MiB live, 67.9MiB allocated; 9ms collecting garbage
Compiler: Compiled 241 to 62 computations (74.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze27.0ms (1%)

sample767.0ms (29.3%)

preprocess63.0ms (2.4%)

series142.0ms (5.4%)

rewrite306.0ms (11.7%)

eval10.0ms (0.4%)

prune15.0ms (0.6%)

series107.0ms (4.1%)

rewrite162.0ms (6.2%)

eval5.0ms (0.2%)

prune33.0ms (1.2%)

series127.0ms (4.8%)

rewrite177.0ms (6.8%)

eval6.0ms (0.2%)

prune5.0ms (0.2%)

series104.0ms (4%)

rewrite182.0ms (7%)

eval4.0ms (0.2%)

prune32.0ms (1.2%)

regimes175.0ms (6.7%)

bsearch42.0ms (1.6%)

bsearch1.0ms (0%)

bsearch77.0ms (2.9%)

derivations4.0ms (0.2%)

preprocess48.0ms (1.8%)

end0.0ms (0%)

Profiling