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

analyze1.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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)

sample941.0ms (25%)

Memory

41.2MiB live, 895.3MiB allocated; 131ms collecting garbage

Samples

545.0ms	8 252×	0	valid
3.0ms	3×	2	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 232.0ms

ival-mult!: 101.0ms (43.5% of total)

ival-add!: 76.0ms (32.7% of total)

ival-div!: 53.0ms (22.8% of total)

adjust: 2.0ms (0.9% of total)

Bogosity

preprocess68.0ms (1.8%)

Memory

-0.5MiB live, 145.3MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	97
1	254	93

Stop Event

1×	iter-limit
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)

series180.0ms (4.8%)

Memory

-34.9MiB live, 126.5MiB allocated; 141ms 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
5.0ms	x	0
4.0ms	x	inf
3.0ms	z	0
2.0ms	y	-inf
2.0ms	x	-inf

rewrite289.0ms (7.7%)

Memory

-7.6MiB live, 566.8MiB allocated; 49ms collecting garbage

Counts

8 → 28

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 (fma.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) (fma.f64 y x (/.f64 x #s(literal 2 binary64))) (.f64 z z)) (+.f64 (/.f64 x #s(literal 2 binary64)) (fma.f64 y x z)))
(.f64 (fma.f64 (.f64 z z) z (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 z (+.f64 (/.f64 x #s(literal 2 binary64)) (fma.f64 y x z)) (*.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) (fma.f64 y x (/.f64 x #s(literal 2 binary64))))))
(*.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (fma.f64 y x z)) (/.f64 (-.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) z) (-.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) z)))
(.f64 (fma.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) (-.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) z) (.f64 z z)) (/.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (fma.f64 y x z)) (fma.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) (-.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) z) (*.f64 z z))))
(.f64 (/.f64 (fma.f64 (.f64 z z) z (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) (fma.f64 y x (/.f64 x #s(literal 2 binary64))) (pow.f64 (.f64 (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) z) #s(literal 3 binary64)))) (fma.f64 (.f64 (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) z) (-.f64 (.f64 (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) z) (.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) (fma.f64 y x (/.f64 x #s(literal 2 binary64))))) (*.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) (fma.f64 y x (/.f64 x #s(literal 2 binary64))))))
(.f64 (fma.f64 (.f64 (.f64 x x) y) y (/.f64 (.f64 x x) #s(literal 2 binary64))) (fma.f64 y x (/.f64 x #s(literal 2 binary64))))
(.f64 (fma.f64 (.f64 (.f64 x x) (.f64 y y)) (.f64 y x) (/.f64 (.f64 (.f64 x x) x) #s(literal 2 binary64))) (fma.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) (.f64 y x) (/.f64 (*.f64 x x) #s(literal 2 binary64))))
(.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 x #s(literal 2 binary64)) (.f64 y x)) (-.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))))
(.f64 (fma.f64 (-.f64 (.f64 y x) (/.f64 x #s(literal 2 binary64))) (.f64 y x) (/.f64 (.f64 x x) #s(literal 2 binary64))) (/.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) (fma.f64 (-.f64 (.f64 y x) (/.f64 x #s(literal 2 binary64))) (.f64 y x) (/.f64 (*.f64 x x) #s(literal 2 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 y y)) (.f64 y x) (/.f64 (.f64 (.f64 x x) x) #s(literal 2 binary64))) (fma.f64 x (/.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 (.f64 y x) (/.f64 x #s(literal 2 binary64))) (.f64 y x)) #s(literal 3 binary64)))) (fma.f64 (.f64 (-.f64 (.f64 y x) (/.f64 x #s(literal 2 binary64))) (.f64 y x)) (-.f64 (.f64 (-.f64 (.f64 y x) (/.f64 x #s(literal 2 binary64))) (.f64 y x)) (/.f64 (.f64 x x) #s(literal 2 binary64))) (/.f64 (.f64 x x) #s(literal 2 binary64))))
(*.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64))
(*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 x #s(literal 2 binary64))
(/.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 x) (neg.f64 #s(literal 2 binary64)))
x
(neg.f64 (neg.f64 x))
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(*.f64 (fabs.f64 #s(literal 2 binary64)) (fabs.f64 #s(literal 2 binary64)))
(*.f64 y x)
(*.f64 x y)
(neg.f64 (neg.f64 (*.f64 y x)))
y
(neg.f64 (neg.f64 y))
z

eval5.0ms (0.1%)

Memory: 26.2MiB live, 26.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 896 to 203 computations (77.3% saved)

prune6.0ms (0.2%)

Memory

-31.1MiB live, 12.9MiB allocated; 4ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	36	5	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	37	5	42

Accuracy

100.0%

Counts

42 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 #s(approx (+ (/ x 2) (* y x)) (fma.f64 #s(literal 1/2 binary64) x (*.f64 x y))) z)
▶	100.0%	(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) y))) z)
▶	64.8%	#s(approx (+ (+ (/ x 2) (* y x)) z) (+.f64 z (*.f64 #s(literal 1/2 binary64) x)))
▶	90.0%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))))
▶	38.5%	#s(approx (+ (+ (/ x 2) (* y x)) z) z)

Compiler

Compiled 152 to 118 computations (22.4% saved)

series238.0ms (6.3%)

Memory

-6.4MiB live, 329.3MiB allocated; 100ms collecting garbage

Counts

21 → 46

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable	Point
9.0ms	y	0
4.0ms	x	-inf
3.0ms	x	inf
2.0ms	x	0
1.0ms	y	inf

rewrite414.0ms (11%)

Memory

34.2MiB live, 883.4MiB allocated; 136ms collecting garbage

Counts

21 → 59

Calls

Call 1

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

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

eval21.0ms (0.5%)

Memory: 6.0MiB live, 47.5MiB allocated; 13ms collecting garbage
Compiler: Compiled 2 650 to 514 computations (80.6% saved)

prune4.0ms (0.1%)

Memory

17.2MiB live, 17.2MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	98	6	104

Accuracy

100.0%

Counts

104 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 #s(approx (+ (/ x 2) (* y x)) (fma.f64 #s(literal 1/2 binary64) x (*.f64 x y))) z)
✓	100.0%	(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) y))) z)
▶	64.8%	#s(approx (+ (/ x 2) (+ (* y x) z)) (fma.f64 x #s(literal 1/2 binary64) z))
✓	90.0%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))))
▶	62.7%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x (+.f64 #s(literal 1/2 binary64) #s(approx (+ y (/ z x)) y))))
✓	38.5%	#s(approx (+ (+ (/ x 2) (* y x)) z) z)

Compiler

Compiled 96 to 73 computations (24% saved)

series211.0ms (5.6%)

Memory

7.4MiB live, 241.6MiB allocated; 129ms collecting garbage

Counts

10 → 42

Calls

Call 1

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

Calls

9 calls:

Time	Variable	Point
25.0ms	y	0
1.0ms	x	-inf
1.0ms	z	-inf
1.0ms	y	-inf
1.0ms	x	inf

rewrite478.0ms (12.7%)

Memory

2.5MiB live, 393.7MiB allocated; 133ms collecting garbage

Counts

10 → 17

Calls

Call 1

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

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

eval17.0ms (0.5%)

Memory: -20.5MiB live, 26.3MiB allocated; 12ms collecting garbage
Compiler: Compiled 1 347 to 273 computations (79.7% saved)

prune6.0ms (0.2%)

Memory

15.1MiB live, 15.1MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	48	2	50
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	48	8	56

Accuracy

100.0%

Counts

56 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 #s(approx (+ (/ x 2) (* y x)) (fma.f64 #s(literal 1/2 binary64) x (*.f64 x y))) z)
✓	100.0%	(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) y))) z)
✓	64.8%	#s(approx (+ (/ x 2) (+ (* y x) z)) (fma.f64 x #s(literal 1/2 binary64) z))
▶	28.8%	#s(approx (+ (/ x 2) (+ (* y x) z)) #s(approx (+ (* x 1/2) z) (*.f64 #s(literal 1/2 binary64) x)))
✓	90.0%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))))
✓	62.7%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x (+.f64 #s(literal 1/2 binary64) #s(approx (+ y (/ z x)) y))))
▶	36.0%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x y))
✓	38.5%	#s(approx (+ (+ (/ x 2) (* y x)) z) z)

Compiler

Compiled 128 to 98 computations (23.4% saved)

series177.0ms (4.7%)

Memory

6.3MiB live, 100.1MiB allocated; 11ms collecting garbage

Counts

8 → 21

Calls

Call 1

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

Calls

9 calls:

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

rewrite447.0ms (11.9%)

Memory

-49.0MiB live, 581.5MiB allocated; 218ms collecting garbage

Counts

8 → 13

Calls

Call 1

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

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

eval4.0ms (0.1%)

Memory: 5.8MiB live, 5.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 532 to 123 computations (76.9% saved)

prune3.0ms (0.1%)

Memory

6.0MiB live, 6.0MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	0	0
Picked	0	2	2
Done	0	6	6
Total	27	8	35

Accuracy

100.0%

Counts

35 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 #s(approx (+ (/ x 2) (* y x)) (fma.f64 #s(literal 1/2 binary64) x (*.f64 x y))) z)
✓	100.0%	(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) y))) z)
✓	64.8%	#s(approx (+ (/ x 2) (+ (* y x) z)) (fma.f64 x #s(literal 1/2 binary64) z))
✓	28.8%	#s(approx (+ (/ x 2) (+ (* y x) z)) #s(approx (+ (* x 1/2) z) (*.f64 #s(literal 1/2 binary64) x)))
✓	90.0%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))))
✓	62.7%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x (+.f64 #s(literal 1/2 binary64) #s(approx (+ y (/ z x)) y))))
✓	36.0%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x y))
✓	38.5%	#s(approx (+ (+ (/ x 2) (* y x)) z) z)

Compiler

Compiled 128 to 98 computations (23.4% saved)

regimes160.0ms (4.2%)

Memory

22.3MiB live, 213.8MiB allocated; 30ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

2 → 3

3 → 6

4 → 3

6 → 3

7 → 1

10 → 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) (*.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))

Call 3

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

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

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

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

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

Call 6

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

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

Call 7

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

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

Calls

29 calls:

10.0ms	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
6.0ms	z
5.0ms	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
5.0ms	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
5.0ms	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))

Results

Accuracy	Segments	Branch
38.5%	1	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
38.5%	1	`z`
38.5%	1	`y`
38.5%	1	`x`
38.5%	1	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
58.3%	3	`y`
60.8%	3	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
66.3%	6	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
51.9%	3	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
56.2%	3	`z`
58.7%	3	`x`
63.1%	4	`y`
84.1%	3	`y`
77.5%	3	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
87.3%	3	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
77.9%	3	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
82.9%	3	`x`
85.1%	3	`y`
82.7%	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 263 to 187 computations (28.9% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.1731716481186815e+57	4.775732709406936e+64
0.0ms	-1.3642734672480517e+107	-3.5530106253133015e+99

Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch29.0ms (0.8%)

Memory

-7.1MiB live, 86.3MiB allocated; 5ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	6.627517894074116	3202.5040704322455
16.0ms	-54271141.52505905	-2.0506713324329207e-12

Samples

12.0ms

304×

valid

Compiler

Compiled 525 to 451 computations (14.1% saved)

Precisions

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

ival-div!: 2.0ms (41.2% of total)

ival-mult!: 2.0ms (41.2% of total)

ival-add!: 1.0ms (20.6% of total)

adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated; 0ms collecting garbage

Algorithm

5×	left-value

Steps

Time	Left	Right
0.0ms	1.5195164757149183e+193	5.11971481005221e+193
0.0ms	1.541978847048606e+132	1.515703345683758e+135
0.0ms	-1.3642734672480517e+107	-3.5530106253133015e+99
0.0ms	-3.220946634722615e+217	-2.1215911997332504e+217
0.0ms	-inf	-5.275180646720098e+306

Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.775732709406936e+64	1.0623311139465944e+65
0.0ms	-1.3642734672480517e+107	-3.5530106253133015e+99

Compiler

Compiled 12 to 14 computations (-16.7% saved)

derivations2.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 361 to 68 computations (81.2% saved)

preprocess66.0ms (1.7%)

Memory: -8.4MiB live, 223.6MiB allocated; 21ms collecting garbage
Compiler: Compiled 370 to 76 computations (79.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0%)

sample941.0ms (25%)

preprocess68.0ms (1.8%)

series180.0ms (4.8%)

rewrite289.0ms (7.7%)

eval5.0ms (0.1%)

prune6.0ms (0.2%)

series238.0ms (6.3%)

rewrite414.0ms (11%)

eval21.0ms (0.5%)

prune4.0ms (0.1%)

series211.0ms (5.6%)

rewrite478.0ms (12.7%)

eval17.0ms (0.5%)

prune6.0ms (0.2%)

series177.0ms (4.7%)

rewrite447.0ms (11.9%)

eval4.0ms (0.1%)

prune3.0ms (0.1%)

regimes160.0ms (4.2%)

bsearch1.0ms (0%)

bsearch29.0ms (0.8%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

derivations2.0ms (0.1%)

preprocess66.0ms (1.7%)

end0.0ms (0%)

Profiling