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

0.4MiB live, 0.4MiB 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)

sample1.1s (51.2%)

Memory

-17.8MiB live, 1 245.4MiB allocated; 456ms collecting garbage

Samples

659.0ms	7 585×	0	valid
60.0ms	283×	1	valid
47.0ms	163×	3	valid
33.0ms	225×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 451.0ms

ival-sub!: 249.0ms (55.2% of total)

ival-div!: 124.0ms (27.5% of total)

adjust: 41.0ms (9.1% of total)

ival-add!: 38.0ms (8.4% of total)

Bogosity

preprocess166.0ms (7.7%)

Memory

-26.8MiB live, 64.9MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))

Compiler

Compiled 12 to 12 computations (0% saved)

series14.0ms (0.7%)

Memory

19.6MiB live, 19.6MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	310

Stop Event

1×	iter-limit

Counts

6 → 24

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite76.0ms (3.6%)

Memory

-27.4MiB live, 74.3MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	62	18
0	647	17

Stop Event

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

Counts

6 → 88

Calls

Call 1

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

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

eval12.0ms (0.6%)

Memory: 21.9MiB live, 21.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 791 to 371 computations (53.1% saved)

prune8.0ms (0.4%)

Memory

18.5MiB live, 18.5MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	97	10	107
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	98	10	108

Accuracy

100.0%

Counts

108 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
	99.6%	(/.f64 (fma.f64 x (/.f64 #s(literal -2 binary64) (-.f64 y x)) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (-.f64 y x)))
	54.0%	(/.f64 (-.f64 (.f64 (.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1/4 binary64)) (.f64 x x)) (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x y)) x))
▶	56.5%	(+.f64 x (/.f64 (.f64 (.f64 (+.f64 y x) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 y x))) #s(literal 2 binary64)))
	99.8%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x))))
	53.9%	(.f64 (-.f64 (.f64 x x) (.f64 (.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))))
▶	99.9%	#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x)))
▶	86.7%	#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))))
	50.6%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
▶	50.3%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 214 to 198 computations (7.5% saved)

series40.0ms (1.9%)

Memory

-35.1MiB live, 57.6MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	338	1561

Stop Event

1×	iter-limit

Counts

26 → 83

Calls

Call 1

Inputs
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
#s(literal -1/2 binary64)
y
(*.f64 #s(literal 3/2 binary64) x)
#s(literal 3/2 binary64)
x
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) y)
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(-.f64 y x)
#s(approx (+ x (/ (- x y) 2)) (*.f64 y (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 x y)) #s(literal 1/2 binary64))))
(*.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))
#s(literal 1/2 binary64)
(/.f64 x y)
(+.f64 x (/.f64 (.f64 (.f64 (+.f64 y x) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 y x))) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (+.f64 y x) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 y x))) #s(literal 2 binary64))
(.f64 (.f64 (+.f64 y x) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(*.f64 (+.f64 y x) (-.f64 x y))
(+.f64 y x)
(-.f64 x y)
(/.f64 #s(literal 1 binary64) (+.f64 y x))
#s(literal 1 binary64)
#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 (* 3/2 x) (*.f64 #s(literal 3/2 binary64) x))
#s(approx x x)
#s(approx (- y x) y)
#s(approx (- y x) (+.f64 y (*.f64 #s(literal -1 binary64) x)))
#s(approx (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2) #s(literal -1/2 binary64))
#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) (/.f64 x y))
#s(approx (/ (* (* (+ y x) (- x y)) (/ 1 (+ y x))) 2) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (* (* (+ y x) (- x y)) (/ 1 (+ y x))) (*.f64 #s(literal -1 binary64) y))
#s(approx (* (* (+ y x) (- x y)) (/ 1 (+ y x))) (-.f64 x y))
#s(approx (* (+ y x) (- x y)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))))
#s(approx (* (+ y x) (- x y)) (fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)) (.f64 x (+.f64 y (.f64 #s(literal -1 binary64) y)))))
#s(approx (* (+ y x) (- x y)) (fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)) (.f64 x (+.f64 x (+.f64 y (.f64 #s(literal -1 binary64) y))))))
#s(approx (+ y x) (+.f64 x y))
#s(approx (/ 1 (+ y x)) (/.f64 #s(literal 1 binary64) y))
#s(approx (/ 1 (+ y x)) (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (/ 1 (+ y x)) (fma.f64 x (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (/ 1 (+ y x)) (fma.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (+ x (/ (- x y) 2)) (.f64 x (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 y x)))))
#s(approx (- y x) (*.f64 #s(literal -1 binary64) x))
#s(approx (- y x) (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))
#s(approx (- (+ (* 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 (/ (* (* (+ y x) (- x y)) (/ 1 (+ y x))) 2) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (* (* (+ y x) (- x y)) (/ 1 (+ y x))) 2) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 y x)))))
#s(approx (* (* (+ y x) (- x y)) (/ 1 (+ y x))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 y x)))))
#s(approx (* (+ y x) (- x y)) (pow.f64 x #s(literal 2 binary64)))
#s(approx (* (+ y x) (- x y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 y x) (/.f64 y x)))))
#s(approx (* (+ y x) (- x y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 y x) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 y x))))))
#s(approx (+ y x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))))
#s(approx (/ 1 (+ y x)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ 1 (+ y x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))) x))
#s(approx (/ 1 (+ y x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x)) x))
#s(approx (/ 1 (+ y x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 y x))) 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 (- y x) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))))
#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 (/ (* (* (+ y x) (- x y)) (/ 1 (+ y x))) 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 (* (* (+ y x) (- x y)) (/ 1 (+ y x))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))))
#s(approx (* (+ y x) (- x y)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 y (*.f64 #s(literal -1 binary64) y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) x)))))
#s(approx (+ y x) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
#s(approx (/ 1 (+ y x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)))
#s(approx (/ 1 (+ y x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) y) x)) #s(literal 1 binary64)) x)))
#s(approx (/ 1 (+ y x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (pow.f64 y #s(literal 2 binary64))) x)) y) x)) #s(literal 1 binary64)) x)))
#s(approx (+ x (/ (- x y) 2)) (+.f64 x (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ x (/ (- x y) 2)) (+.f64 x (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (- y x) (-.f64 y x))
#s(approx (- (+ (* 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 (* (* (+ y x) (- x y)) (/ 1 (+ y x))) (+.f64 x (*.f64 #s(literal -1 binary64) y)))
#s(approx (* (+ y x) (- x y)) (fma.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) x)) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (+ y x) (- x y)) (fma.f64 y (+.f64 x (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) y))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ 1 (+ y x)) (fma.f64 #s(literal -1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (+ y x)) (fma.f64 y (-.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (+ y x)) (fma.f64 y (-.f64 (*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 y (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ x (/ (- x y) 2)) (*.f64 y (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 x y)) #s(literal 1/2 binary64))))
#s(approx (+ (* -1/2 y) (* 3/2 x)) (.f64 y (-.f64 (.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64))))
#s(approx (- y x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 x y)))))
#s(approx (- (+ (* 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 (/ (* (* (+ y x) (- x y)) (/ 1 (+ y x))) 2) (.f64 y (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64))))
#s(approx (* (* (+ y x) (- x y)) (/ 1 (+ y x))) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))
#s(approx (* (+ y x) (- x y)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) (/.f64 x y)) #s(literal 1 binary64))))
#s(approx (* (+ y x) (- x y)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))))
#s(approx (+ y x) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
#s(approx (/ 1 (+ y x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))) y))
#s(approx (/ 1 (+ y x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 x y)) y))
#s(approx (/ 1 (+ y x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 x y))) y))
#s(approx (+ x (/ (- x y) 2)) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) x)) y))))))
#s(approx (+ (* -1/2 y) (* 3/2 x)) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 x y))))))
#s(approx (- y x) (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))))
#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)))
#s(approx (/ (* (* (+ y x) (- x y)) (/ 1 (+ y x))) 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 x) (- x y)) (/ 1 (+ y x))) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))))
#s(approx (* (+ y x) (- x y)) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) x)) y)) #s(literal 1 binary64))))
#s(approx (* (+ y x) (- x y)) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) y)) #s(literal 1 binary64))))
#s(approx (+ y x) (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))))
#s(approx (/ 1 (+ y x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
#s(approx (/ 1 (+ y x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) x) y)) #s(literal 1 binary64)) y)))
#s(approx (/ 1 (+ y x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (pow.f64 x #s(literal 2 binary64))) y)) x) y)) #s(literal 1 binary64)) y)))

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	((+ x (/ (- x y) 2)) (+ (* -1/2 y) (* 3/2 x)) -1/2 y (* 3/2 x) 3/2 x (+ x (/ (- x y) 2)) (* -1/2 y) (+ (* (- y x) -1/2) x) (- y x) (+ x (/ (- x y) 2)) (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2) (+ (* 1/2 (/ x y)) (/ x y)) 1/2 (/ x y) (+ x (/ (* (* (+ y x) (- x y)) (/ 1 (+ y x))) 2)) (/ (* (* (+ y x) (- x y)) (/ 1 (+ y x))) 2) (* (* (+ y x) (- x y)) (/ 1 (+ y x))) (* (+ y x) (- x y)) (+ y x) (- x y) (/ 1 (+ y x)) 1 2)
5.0ms	y	@	-inf	((+ x (/ (- x y) 2)) (+ (* -1/2 y) (* 3/2 x)) -1/2 y (* 3/2 x) 3/2 x (+ x (/ (- x y) 2)) (* -1/2 y) (+ (* (- y x) -1/2) x) (- y x) (+ x (/ (- x y) 2)) (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2) (+ (* 1/2 (/ x y)) (/ x y)) 1/2 (/ x y) (+ x (/ (* (* (+ y x) (- x y)) (/ 1 (+ y x))) 2)) (/ (* (* (+ y x) (- x y)) (/ 1 (+ y x))) 2) (* (* (+ y x) (- x y)) (/ 1 (+ y x))) (* (+ y x) (- x y)) (+ y x) (- x y) (/ 1 (+ y x)) 1 2)
4.0ms	y	@	inf	((+ x (/ (- x y) 2)) (+ (* -1/2 y) (* 3/2 x)) -1/2 y (* 3/2 x) 3/2 x (+ x (/ (- x y) 2)) (* -1/2 y) (+ (* (- y x) -1/2) x) (- y x) (+ x (/ (- x y) 2)) (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2) (+ (* 1/2 (/ x y)) (/ x y)) 1/2 (/ x y) (+ x (/ (* (* (+ y x) (- x y)) (/ 1 (+ y x))) 2)) (/ (* (* (+ y x) (- x y)) (/ 1 (+ y x))) 2) (* (* (+ y x) (- x y)) (/ 1 (+ y x))) (* (+ y x) (- x y)) (+ y x) (- x y) (/ 1 (+ y x)) 1 2)
3.0ms	x	@	0	((+ x (/ (- x y) 2)) (+ (* -1/2 y) (* 3/2 x)) -1/2 y (* 3/2 x) 3/2 x (+ x (/ (- x y) 2)) (* -1/2 y) (+ (* (- y x) -1/2) x) (- y x) (+ x (/ (- x y) 2)) (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2) (+ (* 1/2 (/ x y)) (/ x y)) 1/2 (/ x y) (+ x (/ (* (* (+ y x) (- x y)) (/ 1 (+ y x))) 2)) (/ (* (* (+ y x) (- x y)) (/ 1 (+ y x))) 2) (* (* (+ y x) (- x y)) (/ 1 (+ y x))) (* (+ y x) (- x y)) (+ y x) (- x y) (/ 1 (+ y x)) 1 2)
3.0ms	x	@	inf	((+ x (/ (- x y) 2)) (+ (* -1/2 y) (* 3/2 x)) -1/2 y (* 3/2 x) 3/2 x (+ x (/ (- x y) 2)) (* -1/2 y) (+ (* (- y x) -1/2) x) (- y x) (+ x (/ (- x y) 2)) (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2) (+ (* 1/2 (/ x y)) (/ x y)) 1/2 (/ x y) (+ x (/ (* (* (+ y x) (- x y)) (/ 1 (+ y x))) 2)) (/ (* (* (+ y x) (- x y)) (/ 1 (+ y x))) 2) (* (* (+ y x) (- x y)) (/ 1 (+ y x))) (* (+ y x) (- x y)) (+ y x) (- x y) (/ 1 (+ y x)) 1 2)

rewrite170.0ms (7.9%)

Memory

4.2MiB live, 210.8MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	169
0	47	134
1	255	123
0	3045	120

Stop Event

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

Counts

26 → 661

Calls

Call 1

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

Outputs
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x)))
(.f64 (.f64 (fma.f64 #s(literal -3 binary64) (/.f64 x y) #s(literal 1 binary64)) #s(literal -1/2 binary64)) y)
(.f64 (.f64 (fma.f64 #s(literal -3 binary64) (/.f64 x y) #s(literal 1 binary64)) y) #s(literal -1/2 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))) (.f64 #s(literal 3/2 binary64) x))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -3/2 binary64) x) (.f64 #s(literal -1/2 binary64) y))) (.f64 #s(literal -1/2 binary64) y))
(.f64 (fma.f64 #s(literal -3 binary64) (/.f64 x y) #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) y))
(.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 #s(literal 9/4 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y (.f64 #s(literal -3/2 binary64) x))))
(.f64 (fma.f64 #s(literal 27/8 binary64) (.f64 (.f64 x x) x) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 3/2 binary64) x) (-.f64 (.f64 #s(literal 3/2 binary64) x) (.f64 #s(literal -1/2 binary64) y)) (.f64 #s(literal 1/4 binary64) (*.f64 y y)))))
(.f64 (.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal -3 binary64) (/.f64 x y) #s(literal 1 binary64)))
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(/.f64 (.f64 (.f64 (+.f64 y x) (-.f64 y x)) (.f64 (-.f64 x y) (+.f64 y x))) (.f64 (-.f64 y x) (+.f64 y x)))
(/.f64 (.f64 (.f64 (+.f64 y x) (-.f64 y x)) (-.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))) (.f64 (-.f64 y x) (fma.f64 y (+.f64 y x) (.f64 x x))))
(/.f64 (.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) (.f64 (-.f64 x y) (+.f64 y x))) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)))
(/.f64 (.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) (-.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))) (.f64 (fma.f64 y y (.f64 x (-.f64 x y))) (fma.f64 y (+.f64 y x) (*.f64 x x))))
(neg.f64 (*.f64 (-.f64 y x) (+.f64 y x)))
(neg.f64 (*.f64 (+.f64 y x) (-.f64 y x)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y x) (.f64 x x))) (.f64 x x) (.f64 (neg.f64 y) (+.f64 y x)))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y x) (.f64 x x))) (.f64 x x) (.f64 y (-.f64 x y)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (neg.f64 (*.f64 y y)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (neg.f64 y) y))
(fma.f64 (neg.f64 x) (neg.f64 x) (neg.f64 (*.f64 y y)))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 y) y))
(fma.f64 (-.f64 x y) y (*.f64 (-.f64 x y) x))
(fma.f64 (-.f64 x y) x (*.f64 (-.f64 x y) y))
(fma.f64 (+.f64 y x) x (*.f64 (+.f64 y x) (neg.f64 y)))
(fma.f64 y (-.f64 x y) (*.f64 x (-.f64 x y)))
(fma.f64 x (-.f64 x y) (*.f64 y (-.f64 x y)))
(fma.f64 x (+.f64 y x) (*.f64 (neg.f64 y) (+.f64 y x)))
(fma.f64 x x (neg.f64 (*.f64 y y)))
(fma.f64 x x (*.f64 (neg.f64 y) y))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (.f64 (-.f64 x y) y) (.f64 (-.f64 x y) x))
(+.f64 (.f64 (-.f64 x y) x) (.f64 (-.f64 x y) y))
(+.f64 (.f64 (+.f64 y x) x) (.f64 (+.f64 y x) (neg.f64 y)))
(+.f64 (.f64 y (-.f64 x y)) (.f64 x (-.f64 x y)))
(+.f64 (.f64 x (-.f64 x y)) (.f64 y (-.f64 x y)))
(+.f64 (.f64 x (+.f64 y x)) (.f64 (neg.f64 y) (+.f64 y x)))
(+.f64 (.f64 x x) (neg.f64 (.f64 y y)))
(+.f64 (.f64 x x) (.f64 (neg.f64 y) y))
(.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 y x)) (-.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))) (fma.f64 y y (*.f64 x (+.f64 y x))))
(.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (+.f64 y x) (-.f64 y x))) (+.f64 y x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 y #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(.f64 (.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x (-.f64 x y)))))
(*.f64 (+.f64 y x) #s(literal 1 binary64))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 #s(literal 1 binary64) (/.f64 x y))) y)
(/.f64 (-.f64 (.f64 (.f64 y y) y) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 y y (fma.f64 x x (*.f64 y (neg.f64 x)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (neg.f64 (fma.f64 y y (.f64 x (-.f64 x y)))))
(/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (-.f64 x y))
(/.f64 (.f64 (+.f64 y x) (-.f64 y x)) (.f64 (-.f64 y x) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x))
(/.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) (.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) #s(literal 1 binary64)))
(/.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) (fma.f64 x x (-.f64 (.f64 y y) (*.f64 y x))))
(/.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) (fma.f64 y y (.f64 x (-.f64 x y))))
(/.f64 (-.f64 (neg.f64 x) y) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(/.f64 (+.f64 y x) #s(literal 1 binary64))
(neg.f64 (-.f64 (neg.f64 x) y))
(-.f64 (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (.f64 x x) (-.f64 y x)))
(-.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 (neg.f64 x) #s(literal 1 binary64)))
(-.f64 y (neg.f64 x))
(-.f64 x (neg.f64 y))
(+.f64 (/.f64 (.f64 (.f64 y y) y) (fma.f64 y y (.f64 x (-.f64 x y)))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 y y (.f64 x (-.f64 x y)))))
(+.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64)))
(+.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y #s(literal 1 binary64)))
(+.f64 y (neg.f64 (neg.f64 x)))
(+.f64 y x)
(+.f64 x y)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)) (-.f64 x y))
(.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (/.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x))
(.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (fma.f64 y y (.f64 x (-.f64 x y))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) y)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x)) x)
(*.f64 (/.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (/.f64 (+.f64 y x) y))
(*.f64 (/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (/.f64 (-.f64 x y) y))
(*.f64 (/.f64 (-.f64 x y) (+.f64 y x)) (+.f64 y x))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (.f64 y (/.f64 (-.f64 x y) (+.f64 y x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (neg.f64 y))
(.f64 (.f64 (-.f64 x y) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y x) (.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (.f64 (-.f64 x y) (+.f64 y x)))
(*.f64 #s(literal 1 binary64) (-.f64 x y))
(.f64 (-.f64 x y) (.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 y x))))
(*.f64 (-.f64 x y) (/.f64 (+.f64 y x) (+.f64 y x)))
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (-.f64 x y) (+.f64 y x))) (-.f64 (neg.f64 x) y))
(/.f64 (.f64 (.f64 (+.f64 y x) (-.f64 y x)) (/.f64 (-.f64 x y) (+.f64 y x))) (-.f64 y x))
(/.f64 (.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) (/.f64 (-.f64 x y) (+.f64 y x))) (fma.f64 y y (*.f64 x (-.f64 x y))))
(/.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) y)
(/.f64 (fma.f64 (.f64 x x) x (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 y y) (*.f64 x (neg.f64 y)))))
(/.f64 (.f64 (.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64)) (-.f64 (neg.f64 x) y))
(/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 y x))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 (neg.f64 x) y))
(/.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)) (fma.f64 y y (*.f64 x (+.f64 y x))))
(/.f64 (-.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (neg.f64 (fma.f64 y y (*.f64 x (+.f64 y x)))))
(/.f64 (-.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (*.f64 (-.f64 x y) (+.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 y y) y))))
(neg.f64 (-.f64 y x))
(-.f64 (/.f64 (.f64 x x) (+.f64 y x)) (/.f64 (.f64 y y) (+.f64 y x)))
(-.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (.f64 (.f64 y y) y) (fma.f64 y (+.f64 y x) (.f64 x x))))
(-.f64 x (neg.f64 (neg.f64 y)))
(-.f64 x y)
(+.f64 (neg.f64 y) (neg.f64 (neg.f64 x)))
(+.f64 (neg.f64 y) x)
(+.f64 x (neg.f64 y))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (fma.f64 y y (*.f64 x (-.f64 x y))))
(*.f64 (pow.f64 (+.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (+.f64 y x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 x) y)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(pow.f64 (+.f64 y x) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y))) y)
(/.f64 (fma.f64 y y (.f64 x (-.f64 x y))) (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)))
(/.f64 #s(literal -1 binary64) (-.f64 (neg.f64 x) y))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 y x))
(/.f64 (-.f64 y x) (*.f64 (+.f64 y x) (-.f64 y x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)))
(neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 x) y)))
(exp.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal -1 binary64)))
#s(literal 1 binary64)
#s(literal 2 binary64)

eval126.0ms (5.9%)

Memory: 6.5MiB live, 190.7MiB allocated; 26ms collecting garbage
Compiler: Compiled 5 758 to 2 478 computations (57% saved)

prune31.0ms (1.5%)

Memory

-21.4MiB live, 34.0MiB allocated; 16ms collecting garbage

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	598	2	600
Fresh	4	1	5
Picked	3	2	5
Done	0	0	0
Total	605	5	610

Accuracy

100.0%

Counts

610 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
▶	58.7%	(fma.f64 #s(approx (- y x) y) #s(literal -1/2 binary64) x)
▶	100.0%	#s(approx (+ x (/ (- x y) 2)) (fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) y)))
▶	50.6%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
✓	50.3%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 40 to 40 computations (0% saved)

series13.0ms (0.6%)

Memory

34.6MiB live, 34.6MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	257

Stop Event

1×	iter-limit

Counts

11 → 20

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((+ x (/ (- x y) 2)) (* 3/2 x) 3/2 x (+ x (/ (- x y) 2)) (+ (* x 3/2) (* -1/2 y)) (* -1/2 y) -1/2 y (+ (* (- y x) -1/2) x) (- y x))
1.0ms	y	@	-inf	((+ x (/ (- x y) 2)) (* 3/2 x) 3/2 x (+ x (/ (- x y) 2)) (+ (* x 3/2) (* -1/2 y)) (* -1/2 y) -1/2 y (+ (* (- y x) -1/2) x) (- y x))
1.0ms	x	@	-inf	((+ x (/ (- x y) 2)) (* 3/2 x) 3/2 x (+ x (/ (- x y) 2)) (+ (* x 3/2) (* -1/2 y)) (* -1/2 y) -1/2 y (+ (* (- y x) -1/2) x) (- y x))
1.0ms	y	@	inf	((+ x (/ (- x y) 2)) (* 3/2 x) 3/2 x (+ x (/ (- x y) 2)) (+ (* x 3/2) (* -1/2 y)) (* -1/2 y) -1/2 y (+ (* (- y x) -1/2) x) (- y x))
1.0ms	x	@	0	((+ x (/ (- x y) 2)) (* 3/2 x) 3/2 x (+ x (/ (- x y) 2)) (+ (* x 3/2) (* -1/2 y)) (* -1/2 y) -1/2 y (+ (* (- y x) -1/2) x) (- y x))

rewrite121.0ms (5.6%)

Memory

-10.0MiB live, 76.5MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	54
0	22	54
1	127	54
0	1316	52

Stop Event

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

Counts

11 → 75

Calls

Call 1

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

Outputs
#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)
x
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
(.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y x) #s(literal 1 binary64)) #s(literal 3/2 binary64)) x)
(.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y x) #s(literal 1 binary64)) x) #s(literal 3/2 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 3/2 binary64) x) (.f64 #s(literal -1/2 binary64) y))) (.f64 #s(literal -1/2 binary64) y))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))) (.f64 #s(literal 3/2 binary64) x))
(.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y x) #s(literal 1 binary64)) (.f64 #s(literal 3/2 binary64) x))
(.f64 (-.f64 (.f64 #s(literal 9/4 binary64) (.f64 x x)) (.f64 #s(literal 1/4 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/2 binary64) x (.f64 #s(literal 1/2 binary64) y))))
(.f64 (fma.f64 #s(literal 27/8 binary64) (.f64 (.f64 x x) x) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -1/2 binary64) y) (-.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x)) (.f64 #s(literal 9/4 binary64) (*.f64 x x)))))
(.f64 (.f64 #s(literal 3/2 binary64) x) (fma.f64 #s(literal -1/3 binary64) (/.f64 y x) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 #s(literal 9/4 binary64) (.f64 x x))) (-.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x)))
(/.f64 (-.f64 (.f64 #s(literal 27/8 binary64) (.f64 (.f64 x x) x)) (pow.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) (fma.f64 #s(literal 9/4 binary64) (.f64 x x) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 (.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal 1/2 binary64) y)))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 9/4 binary64) (.f64 x x)) (.f64 #s(literal 1/4 binary64) (.f64 y y)))) (neg.f64 (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal 1/2 binary64) y))))
(/.f64 (neg.f64 (fma.f64 #s(literal 27/8 binary64) (.f64 (.f64 x x) x) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y)))) (neg.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) (-.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x)) (.f64 #s(literal 9/4 binary64) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3/2 binary64) x (.f64 #s(literal 1/2 binary64) y)) (-.f64 (.f64 #s(literal 9/4 binary64) (.f64 x x)) (.f64 #s(literal 1/4 binary64) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) (-.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x)) (.f64 #s(literal 9/4 binary64) (.f64 x x))) (fma.f64 #s(literal 27/8 binary64) (.f64 (.f64 x x) x) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y)))))
(/.f64 (-.f64 (.f64 #s(literal 9/4 binary64) (.f64 x x)) (.f64 #s(literal 1/4 binary64) (.f64 y y))) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal 1/2 binary64) y)))
(/.f64 (fma.f64 #s(literal 27/8 binary64) (.f64 (.f64 x x) x) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y))) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (-.f64 (.f64 #s(literal 9/4 binary64) (.f64 x x)) (.f64 (.f64 (*.f64 #s(literal 3/2 binary64) x) #s(literal -1/2 binary64)) y))))
(/.f64 (fma.f64 #s(literal 27/8 binary64) (.f64 (.f64 x x) x) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y))) (fma.f64 (.f64 #s(literal -1/2 binary64) y) (-.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x)) (.f64 #s(literal 9/4 binary64) (.f64 x x))))
(neg.f64 (-.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(fma.f64 #s(literal 3/2 binary64) x (neg.f64 (*.f64 #s(literal 1/2 binary64) y)))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) x))
(fma.f64 x #s(literal 3/2 binary64) (neg.f64 (*.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) y))
(-.f64 (/.f64 (.f64 #s(literal 9/4 binary64) (.f64 x x)) (fma.f64 #s(literal 3/2 binary64) x (.f64 #s(literal 1/2 binary64) y))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (fma.f64 #s(literal 3/2 binary64) x (.f64 #s(literal 1/2 binary64) y))))
(-.f64 (.f64 #s(literal 3/2 binary64) x) (.f64 #s(literal 1/2 binary64) y))
(-.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal -3/2 binary64) x))
(-.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 (neg.f64 x) #s(literal 3/2 binary64)))
(-.f64 (.f64 #s(literal -1/2 binary64) y) (neg.f64 (.f64 #s(literal 3/2 binary64) x)))
(+.f64 (/.f64 (.f64 #s(literal 27/8 binary64) (.f64 (.f64 x x) x)) (fma.f64 (.f64 #s(literal -1/2 binary64) y) (-.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x)) (.f64 #s(literal 9/4 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y)) (fma.f64 (.f64 #s(literal -1/2 binary64) y) (-.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x)) (.f64 #s(literal 9/4 binary64) (.f64 x x)))))
(+.f64 (.f64 #s(literal 3/2 binary64) x) (neg.f64 (.f64 #s(literal 1/2 binary64) y)))
(+.f64 (.f64 #s(literal 3/2 binary64) x) (.f64 #s(literal -1/2 binary64) y))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 y #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
y
(.f64 (.f64 (+.f64 (/.f64 x (*.f64 #s(approx (- y x) y) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(approx (- y x) y)) #s(literal -1/2 binary64))
(.f64 (.f64 (+.f64 (/.f64 x (*.f64 #s(approx (- y x) y) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(approx (- y x) y))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(approx (- y x) y) #s(literal -1/2 binary64)) x)) x)
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (.f64 #s(approx (- y x) y) #s(literal -1/2 binary64)))) (*.f64 #s(approx (- y x) y) #s(literal -1/2 binary64)))
(.f64 (+.f64 (/.f64 x (.f64 #s(approx (- y x) y) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (*.f64 #s(approx (- y x) y) #s(literal -1/2 binary64)))
(.f64 (-.f64 (.f64 (.f64 #s(approx (- y x) y) #s(approx (- y x) y)) #s(literal 1/4 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(approx (- y x) y) #s(literal -1/2 binary64)) x)))
(.f64 (fma.f64 (.f64 (.f64 #s(approx (- y x) y) #s(approx (- y x) y)) #s(literal 1/4 binary64)) (.f64 #s(approx (- y x) y) #s(literal -1/2 binary64)) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(approx (- y x) y) #s(approx (- y x) y)) #s(literal 1/4 binary64) (.f64 x (-.f64 x (*.f64 #s(approx (- y x) y) #s(literal -1/2 binary64)))))))
(.f64 (.f64 #s(approx (- y x) y) #s(literal -1/2 binary64)) (+.f64 (/.f64 x (*.f64 #s(approx (- y x) y) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(approx (- y x) y) #s(approx (- y x) y)) #s(literal 1/4 binary64))) (-.f64 x (.f64 #s(approx (- y x) y) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(approx (- y x) y) #s(approx (- y x) y)) #s(literal 1/4 binary64)) (.f64 #s(approx (- y x) y) #s(literal -1/2 binary64))) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(approx (- y x) y) #s(approx (- y x) y)) #s(literal 1/4 binary64) (fma.f64 x x (.f64 (*.f64 #s(approx (- y x) y) #s(literal -1/2 binary64)) (neg.f64 x)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 #s(approx (- y x) y) #s(approx (- y x) y)) #s(literal 1/4 binary64)) (.f64 x x))) (neg.f64 (-.f64 (.f64 #s(approx (- y x) y) #s(literal -1/2 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 #s(approx (- y x) y) #s(approx (- y x) y)) #s(literal 1/4 binary64)) (.f64 #s(approx (- y x) y) #s(literal -1/2 binary64)) (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 (.f64 #s(approx (- y x) y) #s(approx (- y x) y)) #s(literal 1/4 binary64) (.f64 x (-.f64 x (.f64 #s(approx (- y x) y) #s(literal -1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(approx (- y x) y) #s(literal -1/2 binary64)) x) (-.f64 (.f64 (.f64 #s(approx (- y x) y) #s(approx (- y x) y)) #s(literal 1/4 binary64)) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(approx (- y x) y) #s(approx (- y x) y)) #s(literal 1/4 binary64) (.f64 x (-.f64 x (.f64 #s(approx (- y x) y) #s(literal -1/2 binary64))))) (fma.f64 (.f64 (.f64 #s(approx (- y x) y) #s(approx (- y x) y)) #s(literal 1/4 binary64)) (.f64 #s(approx (- y x) y) #s(literal -1/2 binary64)) (.f64 (.f64 x x) x))))
(/.f64 (-.f64 (.f64 (.f64 #s(approx (- y x) y) #s(approx (- y x) y)) #s(literal 1/4 binary64)) (.f64 x x)) (-.f64 (.f64 #s(approx (- y x) y) #s(literal -1/2 binary64)) x))
(/.f64 (fma.f64 (.f64 (.f64 #s(approx (- y x) y) #s(approx (- y x) y)) #s(literal 1/4 binary64)) (.f64 #s(approx (- y x) y) #s(literal -1/2 binary64)) (.f64 (.f64 x x) x)) (fma.f64 x x (-.f64 (.f64 (.f64 #s(approx (- y x) y) #s(approx (- y x) y)) #s(literal 1/4 binary64)) (.f64 (*.f64 #s(approx (- y x) y) #s(literal -1/2 binary64)) x))))
(/.f64 (fma.f64 (.f64 (.f64 #s(approx (- y x) y) #s(approx (- y x) y)) #s(literal 1/4 binary64)) (.f64 #s(approx (- y x) y) #s(literal -1/2 binary64)) (.f64 (.f64 x x) x)) (fma.f64 (.f64 #s(approx (- y x) y) #s(approx (- y x) y)) #s(literal 1/4 binary64) (.f64 x (-.f64 x (.f64 #s(approx (- y x) y) #s(literal -1/2 binary64))))))
(neg.f64 (-.f64 (neg.f64 x) (*.f64 #s(approx (- y x) y) #s(literal -1/2 binary64))))
(fma.f64 #s(approx (- y x) y) #s(literal -1/2 binary64) (neg.f64 (neg.f64 x)))
(fma.f64 #s(approx (- y x) y) #s(literal -1/2 binary64) x)
(fma.f64 #s(literal -1/2 binary64) #s(approx (- y x) y) (neg.f64 (neg.f64 x)))
(fma.f64 #s(literal -1/2 binary64) #s(approx (- y x) y) x)
(-.f64 (/.f64 (.f64 (.f64 #s(approx (- y x) y) #s(approx (- y x) y)) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(approx (- y x) y) #s(literal -1/2 binary64)) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 #s(approx (- y x) y) #s(literal -1/2 binary64)) x)))
(-.f64 (*.f64 #s(approx (- y x) y) #s(literal -1/2 binary64)) (neg.f64 x))
(-.f64 x (*.f64 (neg.f64 #s(approx (- y x) y)) #s(literal -1/2 binary64)))
(-.f64 x (*.f64 #s(literal 1/2 binary64) #s(approx (- y x) y)))
(-.f64 x (neg.f64 (*.f64 #s(approx (- y x) y) #s(literal -1/2 binary64))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 #s(approx (- y x) y) #s(approx (- y x) y)) #s(literal 1/4 binary64)) (.f64 #s(approx (- y x) y) #s(literal -1/2 binary64))) (fma.f64 (.f64 #s(approx (- y x) y) #s(approx (- y x) y)) #s(literal 1/4 binary64) (.f64 x (-.f64 x (.f64 #s(approx (- y x) y) #s(literal -1/2 binary64)))))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 #s(approx (- y x) y) #s(approx (- y x) y)) #s(literal 1/4 binary64) (.f64 x (-.f64 x (.f64 #s(approx (- y x) y) #s(literal -1/2 binary64)))))))
(+.f64 (*.f64 #s(approx (- y x) y) #s(literal -1/2 binary64)) (neg.f64 (neg.f64 x)))
(+.f64 (*.f64 #s(approx (- y x) y) #s(literal -1/2 binary64)) x)
(+.f64 x (*.f64 #s(approx (- y x) y) #s(literal -1/2 binary64)))
#s(approx (- y x) y)

eval16.0ms (0.7%)

Memory: 11.8MiB live, 11.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 812 to 296 computations (63.5% saved)

prune9.0ms (0.4%)

Memory

8.6MiB live, 8.6MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	0	0
Picked	0	3	3
Done	0	2	2
Total	85	5	90

Accuracy

100.0%

Counts

90 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
✓	58.7%	(fma.f64 #s(approx (- y x) y) #s(literal -1/2 binary64) x)
✓	100.0%	#s(approx (+ x (/ (- x y) 2)) (fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) y)))
✓	50.6%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
✓	50.3%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 125 to 96 computations (23.2% saved)

regimes68.0ms (3.1%)

Memory

-30.5MiB live, 17.1MiB allocated; 3ms collecting garbage

Counts

13 → 1

Calls

Call 1

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

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

Calls

3 calls:

54.0ms	x
8.0ms	y
4.0ms	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes9.0ms (0.4%)

Memory

8.1MiB live, 8.1MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
3.0ms	x
2.0ms	y

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes11.0ms (0.5%)

Memory

11.7MiB live, 11.7MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
99.8%	1	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`
99.8%	1	`x`
99.8%	1	`y`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes10.0ms (0.5%)

Memory

7.0MiB live, 7.0MiB allocated; 0ms collecting garbage

Counts

3 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
67.3%	4	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`
78.5%	3	`x`
81.9%	3	`y`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes3.0ms (0.1%)

Memory

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

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
79.8%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0.3%)

Memory

8.8MiB live, 8.8MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
50.3%	1	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`
50.3%	1	`x`
50.3%	1	`y`

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch41.0ms (1.9%)

Memory

-29.8MiB live, 20.6MiB allocated; 20ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	5.510088589939509e-5	0.00013264467278326469
34.0ms	-1.5867804295831535e-55	-4.44197703827641e-61

Samples

8.0ms	199×	0	valid
1.0ms	10×	2	valid
1.0ms	14×	1	valid
0.0ms	1×	3	valid

Compiler

Compiled 220 to 249 computations (-13.2% saved)

Precisions

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

ival-div!: 2.0ms (41.1% of total)

ival-sub!: 2.0ms (41.1% of total)

adjust: 1.0ms (20.5% of total)

ival-add!: 1.0ms (20.5% of total)

bsearch10.0ms (0.5%)

Memory

12.8MiB live, 12.8MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	5.510088589939509e-5	0.00013264467278326469
4.0ms	-1.5867804295831535e-55	-4.44197703827641e-61

Samples

3.0ms	101×	0	valid
0.0ms	6×	1	valid
0.0ms	4×	2	valid
0.0ms	1×	3	valid

Compiler

Compiled 262 to 291 computations (-11.1% saved)

Precisions

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

ival-div!: 1.0ms (58.1% of total)

adjust: 0.0ms (0% of total)

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

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

derivations24.0ms (1.1%)

Memory

-30.5MiB live, 18.3MiB allocated; 3ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 41 to 33 computations (19.5% saved)

preprocess62.0ms (2.9%)

Memory: 39.9MiB live, 85.4MiB allocated; 7ms collecting garbage
Compiler: Compiled 47 to 39 computations (17% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (51.2%)

preprocess166.0ms (7.7%)

series14.0ms (0.7%)

rewrite76.0ms (3.6%)

eval12.0ms (0.6%)

prune8.0ms (0.4%)

series40.0ms (1.9%)

rewrite170.0ms (7.9%)

eval126.0ms (5.9%)

prune31.0ms (1.5%)

series13.0ms (0.6%)

rewrite121.0ms (5.6%)

eval16.0ms (0.7%)

prune9.0ms (0.4%)

regimes68.0ms (3.1%)

regimes9.0ms (0.4%)

regimes11.0ms (0.5%)

regimes10.0ms (0.5%)

regimes3.0ms (0.1%)

regimes6.0ms (0.3%)

bsearch41.0ms (1.9%)

bsearch10.0ms (0.5%)

derivations24.0ms (1.1%)

preprocess62.0ms (2.9%)

end0.0ms (0%)

Profiling