Metrics for Graphics.Rendering.Chart.Plot.AreaSpots:renderSpotLegend from Chart-1.5.3

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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 10 to 9 computations (10% saved)

sample743.0ms (31.8%)

Memory

-2.3MiB live, 1 086.4MiB allocated; 148ms collecting garbage

Samples

414.0ms	7 924×	0	valid
12.0ms	117×	2	valid
11.0ms	76×	3	valid
10.0ms	139×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 209.0ms

ival-add!: 66.0ms (31.6% of total)

ival-fabs: 53.0ms (25.4% of total)

ival-div!: 43.0ms (20.6% of total)

ival-sub!: 36.0ms (17.2% of total)

adjust: 12.0ms (5.7% of total)

Bogosity

preprocess117.0ms (5%)

Memory

-86.0MiB live, 19.9MiB allocated; 82ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	56
1	64	54
2	126	54
3	383	54
4	1921	54
5	5244	54

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Compiler

Compiled 16 to 14 computations (12.5% saved)

series5.0ms (0.2%)

Memory

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

Counts

7 → 19

Calls

Call 1

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

Outputs
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(hole binary64 (* 1/2 (fabs (- y x)))))
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(hole binary64 (+ x (* 1/2 (fabs (- y x))))))
#s(approx x #s(hole binary64 x))
#s(approx (fabs (- y x)) #s(hole binary64 (fabs (- y x))))
#s(approx (- y x) #s(hole binary64 y))
#s(approx (- y x) #s(hole binary64 (+ y (* -1 x))))
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))))
#s(approx (- y x) #s(hole binary64 (* -1 x)))
#s(approx (- y x) #s(hole binary64 (* x (- (/ y x) 1))))
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))))
#s(approx (/ (fabs (- y x)) 2) #s(hole binary64 (* 1/2 (fabs (+ y (* -1 x))))))
#s(approx (fabs (- y x)) #s(hole binary64 (fabs (+ y (* -1 x)))))
#s(approx (- y x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ y x)))))))
#s(approx (- y x) #s(hole binary64 (- y x)))
#s(approx (- y x) #s(hole binary64 (* y (+ 1 (* -1 (/ x y))))))
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(hole binary64 (+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))))
#s(approx (/ (fabs (- y x)) 2) #s(hole binary64 (* 1/2 (fabs (neg (+ x (* -1 y)))))))
#s(approx (fabs (- y x)) #s(hole binary64 (fabs (neg (+ x (* -1 y))))))
#s(approx (- y x) #s(hole binary64 (* -1 (* y (- (/ x y) 1)))))

Calls

6 calls:

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

rewrite79.0ms (3.4%)

Memory

-9.1MiB live, 136.6MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	268
0	75	250
1	306	242
0	2412	238

Stop Event

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

Counts

26 → 66

Calls

Call 1

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

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

eval5.0ms (0.2%)

Memory: 21.4MiB live, 21.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 040 to 251 computations (75.9% saved)

prune5.0ms (0.2%)

Memory

14.1MiB live, 14.1MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	48	7	55
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	7	56

Accuracy

100.0%

Counts

56 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.4%	(/.f64 (fma.f64 (/.f64 (.f64 (-.f64 x y) (-.f64 x y)) #s(literal 4 binary64)) (/.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) (.f64 (.f64 x x) x)) (fma.f64 (/.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) (-.f64 (/.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) x) (.f64 x x)))
	54.0%	(/.f64 (-.f64 (/.f64 (.f64 (-.f64 x y) (-.f64 x y)) #s(literal 4 binary64)) (.f64 x x)) (-.f64 (/.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) x))
▶	50.8%	(+.f64 x (/.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 2 binary64)))
▶	58.4%	(+.f64 x (/.f64 (fabs.f64 #s(approx (- y x) y)) #s(literal 2 binary64)))
▶	99.9%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x))
▶	87.6%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))
▶	53.6%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))))

Compiler

Compiled 268 to 168 computations (37.3% saved)

series23.0ms (1%)

Memory

3.6MiB live, 54.1MiB allocated; 5ms collecting garbage

Counts

24 → 44

Calls

Call 1

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

Outputs
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(hole binary64 (* 1/2 (fabs (- y x)))))
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(hole binary64 (+ x (* 1/2 (fabs (- y x))))))
#s(approx (+ (* 1/2 (fabs (- x y))) x) #s(hole binary64 (* 1/2 (fabs (- x y)))))
#s(approx (+ (* 1/2 (fabs (- x y))) x) #s(hole binary64 (+ x (* 1/2 (fabs (- x y))))))
#s(approx (fabs (- x y)) #s(hole binary64 (fabs (- x y))))
#s(approx (- x y) #s(hole binary64 (* -1 y)))
#s(approx (- x y) #s(hole binary64 (- x y)))
#s(approx x #s(hole binary64 x))
#s(approx (fabs (- y x)) #s(hole binary64 (fabs (- y x))))
#s(approx (- y x) #s(hole binary64 y))
#s(approx (- y x) #s(hole binary64 (+ y (* -1 x))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (+ (* (fabs (- x y)) (/ 1/2 x)) 1) #s(hole binary64 (* 1/2 (/ (fabs (- x y)) x))))
#s(approx (+ (* (fabs (- x y)) (/ 1/2 x)) 1) #s(hole binary64 (/ (+ x (* 1/2 (fabs (- x y)))) x)))
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 x)))
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))))
#s(approx (+ (* 1/2 (fabs (- x y))) x) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))))
#s(approx (- x y) #s(hole binary64 (* x (+ 1 (* -1 (/ y x))))))
#s(approx (- y x) #s(hole binary64 (* x (- (/ y x) 1))))
#s(approx (+ (* (fabs (- x y)) (/ 1/2 x)) 1) #s(hole binary64 1))
#s(approx (+ (* (fabs (- x y)) (/ 1/2 x)) 1) #s(hole binary64 (+ 1 (* 1/2 (/ (fabs (- x y)) x)))))
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))))
#s(approx (+ (* 1/2 (fabs (- x y))) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))))
#s(approx (fabs (- x y)) #s(hole binary64 (fabs (neg (+ y (* -1 x))))))
#s(approx (- x y) #s(hole binary64 (* -1 (* x (- (/ y x) 1)))))
#s(approx (* 1/2 (fabs (- x y))) #s(hole binary64 (* 1/2 (fabs (neg (+ y (* -1 x)))))))
#s(approx (/ (fabs (- y x)) 2) #s(hole binary64 (* 1/2 (fabs (+ y (* -1 x))))))
#s(approx (fabs (- y x)) #s(hole binary64 (fabs (+ y (* -1 x)))))
#s(approx (- y x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ y x)))))))
#s(approx (+ (* (fabs (- x y)) (/ 1/2 x)) 1) #s(hole binary64 (+ 1 (* 1/2 (/ (fabs (neg (+ y (* -1 x)))) x)))))
#s(approx (- x y) #s(hole binary64 (+ x (* -1 y))))
#s(approx (- y x) #s(hole binary64 (- y x)))
#s(approx (- x y) #s(hole binary64 (* y (- (/ x y) 1))))
#s(approx (- y x) #s(hole binary64 (* y (+ 1 (* -1 (/ x y))))))
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(hole binary64 (+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))))
#s(approx (+ (* 1/2 (fabs (- x y))) x) #s(hole binary64 (+ x (* 1/2 (fabs (+ x (* -1 y)))))))
#s(approx (fabs (- x y)) #s(hole binary64 (fabs (+ x (* -1 y)))))
#s(approx (- x y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ x y)))))))
#s(approx (* 1/2 (fabs (- x y))) #s(hole binary64 (* 1/2 (fabs (+ x (* -1 y))))))
#s(approx (/ (fabs (- y x)) 2) #s(hole binary64 (* 1/2 (fabs (neg (+ x (* -1 y)))))))
#s(approx (fabs (- y x)) #s(hole binary64 (fabs (neg (+ x (* -1 y))))))
#s(approx (- y x) #s(hole binary64 (* -1 (* y (- (/ x y) 1)))))
#s(approx (* (+ (* (fabs (- x y)) (/ 1/2 x)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (fabs (+ x (* -1 y))) x))))))
#s(approx (+ (* (fabs (- x y)) (/ 1/2 x)) 1) #s(hole binary64 (+ 1 (* 1/2 (/ (fabs (+ x (* -1 y))) x)))))

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	x	@	inf	((+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (fabs (- x y))) x) 1/2 (fabs (- x y)) (- x y) x y (+ x (/ (fabs (- y x)) 2)) (* 1/2 (fabs (- x y))) (+ x (/ (fabs (- y x)) 2)) (/ (fabs (- y x)) 2) (fabs (- y x)) (- y x) 2 (+ x (/ (fabs (- y x)) 2)) (/ (fabs (- y x)) 2) (fabs (- y x)) (- y x) (neg x) (+ x (/ (fabs (- y x)) 2)) (* (+ (* (fabs (- x y)) (/ 1/2 x)) 1) x) (+ (* (fabs (- x y)) (/ 1/2 x)) 1) (/ 1/2 x) 1)
2.0ms	y	@	0	((+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (fabs (- x y))) x) 1/2 (fabs (- x y)) (- x y) x y (+ x (/ (fabs (- y x)) 2)) (* 1/2 (fabs (- x y))) (+ x (/ (fabs (- y x)) 2)) (/ (fabs (- y x)) 2) (fabs (- y x)) (- y x) 2 (+ x (/ (fabs (- y x)) 2)) (/ (fabs (- y x)) 2) (fabs (- y x)) (- y x) (neg x) (+ x (/ (fabs (- y x)) 2)) (* (+ (* (fabs (- x y)) (/ 1/2 x)) 1) x) (+ (* (fabs (- x y)) (/ 1/2 x)) 1) (/ 1/2 x) 1)
2.0ms	x	@	0	((+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (fabs (- x y))) x) 1/2 (fabs (- x y)) (- x y) x y (+ x (/ (fabs (- y x)) 2)) (* 1/2 (fabs (- x y))) (+ x (/ (fabs (- y x)) 2)) (/ (fabs (- y x)) 2) (fabs (- y x)) (- y x) 2 (+ x (/ (fabs (- y x)) 2)) (/ (fabs (- y x)) 2) (fabs (- y x)) (- y x) (neg x) (+ x (/ (fabs (- y x)) 2)) (* (+ (* (fabs (- x y)) (/ 1/2 x)) 1) x) (+ (* (fabs (- x y)) (/ 1/2 x)) 1) (/ 1/2 x) 1)
2.0ms	x	@	-inf	((+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (fabs (- x y))) x) 1/2 (fabs (- x y)) (- x y) x y (+ x (/ (fabs (- y x)) 2)) (* 1/2 (fabs (- x y))) (+ x (/ (fabs (- y x)) 2)) (/ (fabs (- y x)) 2) (fabs (- y x)) (- y x) 2 (+ x (/ (fabs (- y x)) 2)) (/ (fabs (- y x)) 2) (fabs (- y x)) (- y x) (neg x) (+ x (/ (fabs (- y x)) 2)) (* (+ (* (fabs (- x y)) (/ 1/2 x)) 1) x) (+ (* (fabs (- x y)) (/ 1/2 x)) 1) (/ 1/2 x) 1)
2.0ms	y	@	-inf	((+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (fabs (- x y))) x) 1/2 (fabs (- x y)) (- x y) x y (+ x (/ (fabs (- y x)) 2)) (* 1/2 (fabs (- x y))) (+ x (/ (fabs (- y x)) 2)) (/ (fabs (- y x)) 2) (fabs (- y x)) (- y x) 2 (+ x (/ (fabs (- y x)) 2)) (/ (fabs (- y x)) 2) (fabs (- y x)) (- y x) (neg x) (+ x (/ (fabs (- y x)) 2)) (* (+ (* (fabs (- x y)) (/ 1/2 x)) 1) x) (+ (* (fabs (- x y)) (/ 1/2 x)) 1) (/ 1/2 x) 1)

rewrite103.0ms (4.4%)

Memory

-2.3MiB live, 186.6MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	142	784
0	164	730
1	602	714
0	3861	712

Stop Event

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

Counts

68 → 225

Calls

Call 1

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

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

eval27.0ms (1.1%)

Memory: -6.8MiB live, 85.0MiB allocated; 5ms collecting garbage
Compiler: Compiled 7 096 to 923 computations (87% saved)

prune10.0ms (0.4%)

Memory

-9.9MiB live, 37.2MiB allocated; 1ms collecting garbage

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	248	7	255
Fresh	2	0	2
Picked	2	3	5
Done	0	0	0
Total	252	10	262

Accuracy

100.0%

Counts

262 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.8%	(/.f64 (-.f64 (/.f64 (.f64 #s(approx (- y x) (neg.f64 x)) #s(approx (- y x) (neg.f64 x))) #s(literal 4 binary64)) (.f64 x x)) (-.f64 (/.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 2 binary64)) x))
✓	50.8%	(+.f64 x (/.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 2 binary64)))
▶	66.8%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (fabs.f64 (-.f64 x y)) x) x))
▶	54.0%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y))) x))
✓	99.9%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x))
▶	58.4%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))) x))
	64.8%	#s(approx (+ x (/ (fabs (- y x)) 2)) (/.f64 (.f64 (fma.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 x y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64))))
▶	11.6%	#s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 #s(approx (+ ( (fabs (- x y)) (/ 1/2 x)) 1) #s(literal 1 binary64)) x))
✓	53.6%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))))
▶	50.4%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y)))))

Compiler

Compiled 390 to 257 computations (34.1% saved)

series26.0ms (1.1%)

Memory

20.4MiB live, 73.5MiB allocated; 3ms collecting garbage

Counts

24 → 87

Calls

Call 1

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

Outputs
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(hole binary64 (* 1/2 (fabs (- y x)))))
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(hole binary64 (+ x (* 1/2 (fabs (- y x))))))
#s(approx (+ (* (/ 1/2 x) (* (fabs (- x y)) x)) x) #s(hole binary64 (* 1/2 (fabs (- x y)))))
#s(approx (+ (* (/ 1/2 x) (* (fabs (- x y)) x)) x) #s(hole binary64 (+ x (* 1/2 (fabs (- x y))))))
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (fabs (- x y)) x) #s(hole binary64 (* x (fabs (- x y)))))
#s(approx (fabs (- x y)) #s(hole binary64 (fabs (- x y))))
#s(approx (- x y) #s(hole binary64 (* -1 y)))
#s(approx (- x y) #s(hole binary64 (- x y)))
#s(approx (+ (* (fabs (- x y)) (/ 1/2 x)) 1) #s(hole binary64 (* 1/2 (/ (fabs (- x y)) x))))
#s(approx (+ (* (fabs (- x y)) (/ 1/2 x)) 1) #s(hole binary64 (/ (+ x (* 1/2 (fabs (- x y)))) x)))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) #s(hole binary64 (* 1/2 (pow (sqrt (neg y)) 2))))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) #s(hole binary64 (+ (* 1/2 (pow (sqrt (neg y)) 2)) (* 3/2 x))))
#s(approx (* (sqrt (- x y)) (sqrt (- x y))) #s(hole binary64 (pow (sqrt (neg y)) 2)))
#s(approx (* (sqrt (- x y)) (sqrt (- x y))) #s(hole binary64 (+ x (pow (sqrt (neg y)) 2))))
#s(approx (* (sqrt (- x y)) (sqrt (- x y))) #s(hole binary64 (+ (* x (+ 1 (* (pow x 5) (- (* 7/256 (/ 1 (pow (sqrt (neg y)) 10))) (* 7/256 (/ 1 (pow (sqrt (neg y)) 10))))))) (pow (sqrt (neg y)) 2))))
#s(approx (sqrt (- x y)) #s(hole binary64 (sqrt (neg y))))
#s(approx (sqrt (- x y)) #s(hole binary64 (+ (sqrt (neg y)) (* 1/2 (/ x (sqrt (neg y)))))))
#s(approx (sqrt (- x y)) #s(hole binary64 (+ (sqrt (neg y)) (* x (+ (* -1/8 (/ x (pow (sqrt (neg y)) 3))) (* 1/2 (/ 1 (sqrt (neg y)))))))))
#s(approx (sqrt (- x y)) #s(hole binary64 (+ (sqrt (neg y)) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt (neg y)) 5))) (* 1/8 (/ 1 (pow (sqrt (neg y)) 3))))) (* 1/2 (/ 1 (sqrt (neg y)))))))))
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))))
#s(approx (+ (* (/ 1/2 x) (* (fabs (- x y)) x)) x) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))))
#s(approx (- x y) #s(hole binary64 (* x (+ 1 (* -1 (/ y x))))))
#s(approx (+ (* (fabs (- x y)) (/ 1/2 x)) 1) #s(hole binary64 1))
#s(approx (+ (* (fabs (- x y)) (/ 1/2 x)) 1) #s(hole binary64 (+ 1 (* 1/2 (/ (fabs (- x y)) x)))))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) #s(hole binary64 (* 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 2)))))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow (sqrt (/ 1 x)) 2)) (/ 1 x)))))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) #s(hole binary64 (* (pow x 2) (+ (* -1/2 (/ y (pow x 2))) (+ (* 1/2 (pow (sqrt (/ 1 x)) 2)) (/ 1 x))))))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) #s(hole binary64 (* (pow x 2) (+ (* -1/2 (/ y (pow x 2))) (+ (* 1/2 (/ (+ (* -1/4 (/ (pow y 2) (pow (sqrt (/ 1 x)) 2))) (* 1/4 (/ (pow y 2) (pow (sqrt (/ 1 x)) 2)))) (pow x 4))) (+ (* 1/2 (pow (sqrt (/ 1 x)) 2)) (/ 1 x)))))))
#s(approx (* (sqrt (- x y)) (sqrt (- x y))) #s(hole binary64 (* (pow x 2) (pow (sqrt (/ 1 x)) 2))))
#s(approx (* (sqrt (- x y)) (sqrt (- x y))) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ y (pow x 2))) (pow (sqrt (/ 1 x)) 2)))))
#s(approx (* (sqrt (- x y)) (sqrt (- x y))) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ y (pow x 2))) (+ (* -1/4 (/ (pow y 2) (* (pow x 4) (pow (sqrt (/ 1 x)) 2)))) (+ (* 1/4 (/ (pow y 2) (* (pow x 4) (pow (sqrt (/ 1 x)) 2)))) (pow (sqrt (/ 1 x)) 2)))))))
#s(approx (* (sqrt (- x y)) (sqrt (- x y))) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ y (pow x 2))) (+ (* -1/4 (/ (pow y 2) (* (pow x 4) (pow (sqrt (/ 1 x)) 2)))) (+ (* -1/8 (/ (pow y 3) (* (pow x 6) (pow (sqrt (/ 1 x)) 4)))) (+ (* 1/8 (/ (pow y 3) (* (pow x 6) (pow (sqrt (/ 1 x)) 4)))) (+ (* 1/4 (/ (pow y 2) (* (pow x 4) (pow (sqrt (/ 1 x)) 2)))) (pow (sqrt (/ 1 x)) 2)))))))))
#s(approx (sqrt (- x y)) #s(hole binary64 (* x (sqrt (/ 1 x)))))
#s(approx (sqrt (- x y)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* -1/2 (/ y (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (sqrt (- x y)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (/ y (* (pow x 2) (sqrt (/ 1 x))))) (* -1/8 (/ (pow y 2) (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))
#s(approx (sqrt (- x y)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (/ y (* (pow x 2) (sqrt (/ 1 x))))) (+ (* -1/8 (/ (pow y 2) (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))) (* -1/16 (/ (pow y 3) (* (pow x 6) (pow (sqrt (/ 1 x)) 5))))))))))
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))))
#s(approx (+ (* (/ 1/2 x) (* (fabs (- x y)) x)) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))))
#s(approx (* (fabs (- x y)) x) #s(hole binary64 (* x (fabs (neg (+ y (* -1 x)))))))
#s(approx (fabs (- x y)) #s(hole binary64 (fabs (neg (+ y (* -1 x))))))
#s(approx (- x y) #s(hole binary64 (* -1 (* x (- (/ y x) 1)))))
#s(approx (+ (* (fabs (- x y)) (/ 1/2 x)) 1) #s(hole binary64 (+ 1 (* 1/2 (/ (fabs (neg (+ y (* -1 x)))) x)))))
#s(approx (* 1/2 (fabs (- x y))) #s(hole binary64 (* 1/2 (fabs (neg (+ y (* -1 x)))))))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (- (* 1/2 (/ y x)) 1) x)) (* 1/2 (pow (sqrt (/ 1 x)) 2))))))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 y) (* 1/2 (/ (+ (* -1/4 (/ (pow y 2) (pow (sqrt (/ 1 x)) 2))) (* 1/4 (/ (pow y 2) (pow (sqrt (/ 1 x)) 2)))) (pow x 2)))) x)) 1) x)) (* 1/2 (pow (sqrt (/ 1 x)) 2))))))
#s(approx (sqrt (- x y)) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x))))))
#s(approx (sqrt (- x y)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (* -1/2 (/ y (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (sqrt (- x y)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (/ y (* (pow x 2) (sqrt (/ 1 x))))) (* -1/8 (/ (pow y 2) (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))))
#s(approx (sqrt (- x y)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (/ y (* (pow x 2) (sqrt (/ 1 x))))) (+ (* -1/8 (/ (pow y 2) (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))) (* -1/16 (/ (pow y 3) (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))))))))
#s(approx (- x y) #s(hole binary64 (+ x (* -1 y))))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) #s(hole binary64 (+ x (* 1/2 (pow (sqrt x) 2)))))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) #s(hole binary64 (+ x (+ (* -1/2 y) (* 1/2 (pow (sqrt x) 2))))))
#s(approx (* (sqrt (- x y)) (sqrt (- x y))) #s(hole binary64 (pow (sqrt x) 2)))
#s(approx (* (sqrt (- x y)) (sqrt (- x y))) #s(hole binary64 (+ (* -1 y) (pow (sqrt x) 2))))
#s(approx (* (sqrt (- x y)) (sqrt (- x y))) #s(hole binary64 (+ (* y (- (* (pow y 5) (- (* 7/256 (/ 1 (pow (sqrt x) 10))) (* 7/256 (/ 1 (pow (sqrt x) 10))))) 1)) (pow (sqrt x) 2))))
#s(approx (sqrt (- x y)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (- x y)) #s(hole binary64 (+ (sqrt x) (* -1/2 (/ y (sqrt x))))))
#s(approx (sqrt (- x y)) #s(hole binary64 (+ (sqrt x) (* y (- (* -1/8 (/ y (pow (sqrt x) 3))) (* 1/2 (/ 1 (sqrt x))))))))
#s(approx (sqrt (- x y)) #s(hole binary64 (+ (sqrt x) (* y (- (* y (- (* -1/16 (/ y (pow (sqrt x) 5))) (* 1/8 (/ 1 (pow (sqrt x) 3))))) (* 1/2 (/ 1 (sqrt x))))))))
#s(approx (- x y) #s(hole binary64 (* y (- (/ x y) 1))))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) #s(hole binary64 (* 1/2 (* (pow y 2) (pow (sqrt (/ -1 y)) 2)))))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) #s(hole binary64 (* (pow y 2) (+ (* 1/2 (/ x (pow y 2))) (+ (* 1/2 (pow (sqrt (/ -1 y)) 2)) (/ x (pow y 2)))))))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) #s(hole binary64 (* (pow y 2) (+ (* 1/2 (/ x (pow y 2))) (+ (* 1/2 (/ (+ (* -1/4 (/ (pow x 2) (pow (sqrt (/ -1 y)) 2))) (* 1/4 (/ (pow x 2) (pow (sqrt (/ -1 y)) 2)))) (pow y 4))) (+ (* 1/2 (pow (sqrt (/ -1 y)) 2)) (/ x (pow y 2))))))))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) #s(hole binary64 (* (pow y 2) (+ (* 1/2 (/ x (pow y 2))) (+ (* 1/2 (/ (+ (* -1/4 (/ (pow x 2) (pow (sqrt (/ -1 y)) 2))) (* 1/4 (/ (pow x 2) (pow (sqrt (/ -1 y)) 2)))) (pow y 4))) (+ (* 1/2 (/ (+ (* -1/8 (/ (pow x 3) (pow (sqrt (/ -1 y)) 4))) (* 1/8 (/ (pow x 3) (pow (sqrt (/ -1 y)) 4)))) (pow y 6))) (+ (* 1/2 (pow (sqrt (/ -1 y)) 2)) (/ x (pow y 2)))))))))
#s(approx (* (sqrt (- x y)) (sqrt (- x y))) #s(hole binary64 (* (pow y 2) (pow (sqrt (/ -1 y)) 2))))
#s(approx (* (sqrt (- x y)) (sqrt (- x y))) #s(hole binary64 (* (pow y 2) (+ (/ x (pow y 2)) (pow (sqrt (/ -1 y)) 2)))))
#s(approx (* (sqrt (- x y)) (sqrt (- x y))) #s(hole binary64 (* (pow y 2) (+ (* -1/4 (/ (pow x 2) (* (pow y 4) (pow (sqrt (/ -1 y)) 2)))) (+ (* 1/4 (/ (pow x 2) (* (pow y 4) (pow (sqrt (/ -1 y)) 2)))) (+ (/ x (pow y 2)) (pow (sqrt (/ -1 y)) 2)))))))
#s(approx (* (sqrt (- x y)) (sqrt (- x y))) #s(hole binary64 (* (pow y 2) (+ (* -1/4 (/ (pow x 2) (* (pow y 4) (pow (sqrt (/ -1 y)) 2)))) (+ (* -1/8 (/ (pow x 3) (* (pow y 6) (pow (sqrt (/ -1 y)) 4)))) (+ (* 1/8 (/ (pow x 3) (* (pow y 6) (pow (sqrt (/ -1 y)) 4)))) (+ (* 1/4 (/ (pow x 2) (* (pow y 4) (pow (sqrt (/ -1 y)) 2)))) (+ (/ x (pow y 2)) (pow (sqrt (/ -1 y)) 2)))))))))
#s(approx (sqrt (- x y)) #s(hole binary64 (* y (sqrt (/ -1 y)))))
#s(approx (sqrt (- x y)) #s(hole binary64 (* y (+ (sqrt (/ -1 y)) (* 1/2 (/ x (* (pow y 2) (sqrt (/ -1 y)))))))))
#s(approx (sqrt (- x y)) #s(hole binary64 (* y (+ (sqrt (/ -1 y)) (+ (* -1/8 (/ (pow x 2) (* (pow y 4) (pow (sqrt (/ -1 y)) 3)))) (* 1/2 (/ x (* (pow y 2) (sqrt (/ -1 y))))))))))
#s(approx (sqrt (- x y)) #s(hole binary64 (* y (+ (sqrt (/ -1 y)) (+ (* -1/8 (/ (pow x 2) (* (pow y 4) (pow (sqrt (/ -1 y)) 3)))) (+ (* 1/16 (/ (pow x 3) (* (pow y 6) (pow (sqrt (/ -1 y)) 5)))) (* 1/2 (/ x (* (pow y 2) (sqrt (/ -1 y)))))))))))
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(hole binary64 (+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))))
#s(approx (+ (* (/ 1/2 x) (* (fabs (- x y)) x)) x) #s(hole binary64 (+ x (* 1/2 (fabs (+ x (* -1 y)))))))
#s(approx (* (fabs (- x y)) x) #s(hole binary64 (* x (fabs (+ x (* -1 y))))))
#s(approx (fabs (- x y)) #s(hole binary64 (fabs (+ x (* -1 y)))))
#s(approx (- x y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ x y)))))))
#s(approx (* (+ (* (fabs (- x y)) (/ 1/2 x)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (fabs (+ x (* -1 y))) x))))))
#s(approx (+ (* (fabs (- x y)) (/ 1/2 x)) 1) #s(hole binary64 (+ 1 (* 1/2 (/ (fabs (+ x (* -1 y))) x)))))
#s(approx (* 1/2 (fabs (- x y))) #s(hole binary64 (* 1/2 (fabs (+ x (* -1 y))))))
#s(approx (sqrt (- x y)) #s(hole binary64 (* -1 (* y (sqrt (/ -1 y))))))
#s(approx (sqrt (- x y)) #s(hole binary64 (* -1 (* y (+ (sqrt (/ -1 y)) (* 1/2 (/ x (* (pow y 2) (sqrt (/ -1 y))))))))))
#s(approx (sqrt (- x y)) #s(hole binary64 (* -1 (* y (+ (sqrt (/ -1 y)) (+ (* -1/8 (/ (pow x 2) (* (pow y 4) (pow (sqrt (/ -1 y)) 3)))) (* 1/2 (/ x (* (pow y 2) (sqrt (/ -1 y)))))))))))
#s(approx (sqrt (- x y)) #s(hole binary64 (* -1 (* y (+ (sqrt (/ -1 y)) (+ (* -1/8 (/ (pow x 2) (* (pow y 4) (pow (sqrt (/ -1 y)) 3)))) (+ (* 1/16 (/ (pow x 3) (* (pow y 6) (pow (sqrt (/ -1 y)) 5)))) (* 1/2 (/ x (* (pow y 2) (sqrt (/ -1 y))))))))))))

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	((+ x (/ (fabs (- y x)) 2)) (+ (* (/ 1/2 x) (* (fabs (- x y)) x)) x) (/ 1/2 x) 1/2 x (* (fabs (- x y)) x) (fabs (- x y)) (- x y) y (+ x (/ (fabs (- y x)) 2)) (* (+ (* (fabs (- x y)) (/ 1/2 x)) 1) x) (+ (* (fabs (- x y)) (/ 1/2 x)) 1) 1 (+ x (/ (fabs (- y x)) 2)) (* 1/2 (fabs (- x y))) (fabs (- x y)) (- x y) (neg y) (+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (fabs (- x y))) x) (+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (* (sqrt (- x y)) (sqrt (- x y))) (sqrt (- x y)))
4.0ms	x	@	0	((+ x (/ (fabs (- y x)) 2)) (+ (* (/ 1/2 x) (* (fabs (- x y)) x)) x) (/ 1/2 x) 1/2 x (* (fabs (- x y)) x) (fabs (- x y)) (- x y) y (+ x (/ (fabs (- y x)) 2)) (* (+ (* (fabs (- x y)) (/ 1/2 x)) 1) x) (+ (* (fabs (- x y)) (/ 1/2 x)) 1) 1 (+ x (/ (fabs (- y x)) 2)) (* 1/2 (fabs (- x y))) (fabs (- x y)) (- x y) (neg y) (+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (fabs (- x y))) x) (+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (* (sqrt (- x y)) (sqrt (- x y))) (sqrt (- x y)))
4.0ms	y	@	0	((+ x (/ (fabs (- y x)) 2)) (+ (* (/ 1/2 x) (* (fabs (- x y)) x)) x) (/ 1/2 x) 1/2 x (* (fabs (- x y)) x) (fabs (- x y)) (- x y) y (+ x (/ (fabs (- y x)) 2)) (* (+ (* (fabs (- x y)) (/ 1/2 x)) 1) x) (+ (* (fabs (- x y)) (/ 1/2 x)) 1) 1 (+ x (/ (fabs (- y x)) 2)) (* 1/2 (fabs (- x y))) (fabs (- x y)) (- x y) (neg y) (+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (fabs (- x y))) x) (+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (* (sqrt (- x y)) (sqrt (- x y))) (sqrt (- x y)))
3.0ms	y	@	inf	((+ x (/ (fabs (- y x)) 2)) (+ (* (/ 1/2 x) (* (fabs (- x y)) x)) x) (/ 1/2 x) 1/2 x (* (fabs (- x y)) x) (fabs (- x y)) (- x y) y (+ x (/ (fabs (- y x)) 2)) (* (+ (* (fabs (- x y)) (/ 1/2 x)) 1) x) (+ (* (fabs (- x y)) (/ 1/2 x)) 1) 1 (+ x (/ (fabs (- y x)) 2)) (* 1/2 (fabs (- x y))) (fabs (- x y)) (- x y) (neg y) (+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (fabs (- x y))) x) (+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (* (sqrt (- x y)) (sqrt (- x y))) (sqrt (- x y)))
3.0ms	x	@	inf	((+ x (/ (fabs (- y x)) 2)) (+ (* (/ 1/2 x) (* (fabs (- x y)) x)) x) (/ 1/2 x) 1/2 x (* (fabs (- x y)) x) (fabs (- x y)) (- x y) y (+ x (/ (fabs (- y x)) 2)) (* (+ (* (fabs (- x y)) (/ 1/2 x)) 1) x) (+ (* (fabs (- x y)) (/ 1/2 x)) 1) 1 (+ x (/ (fabs (- y x)) 2)) (* 1/2 (fabs (- x y))) (fabs (- x y)) (- x y) (neg y) (+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (fabs (- x y))) x) (+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (* (sqrt (- x y)) (sqrt (- x y))) (sqrt (- x y)))

rewrite192.0ms (8.2%)

Memory

-24.7MiB live, 299.8MiB allocated; 60ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	443	2645
0	464	2193
1	2437	2030
0	8431	1953

Stop Event

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

Counts

111 → 268

Calls

Call 1

Inputs
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (fabs.f64 (-.f64 x y)) x) x))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (fabs.f64 (-.f64 x y)) x) x)
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(*.f64 (fabs.f64 (-.f64 x y)) x)
(fabs.f64 (-.f64 x y))
(-.f64 x y)
y
#s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 #s(approx (+ ( (fabs (- x y)) (/ 1/2 x)) 1) #s(literal 1 binary64)) x))
(.f64 #s(approx (+ ( (fabs (- x y)) (/ 1/2 x)) 1) #s(literal 1 binary64)) x)
#s(approx (+ (* (fabs (- x y)) (/ 1/2 x)) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y)))))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))))
(fabs.f64 #s(approx (- x y) (neg.f64 y)))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))) x))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))) x)
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y))) x))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y))) x)
(*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 x y))
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(hole binary64 (* 1/2 (fabs (- y x)))))
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(hole binary64 (+ x (* 1/2 (fabs (- y x))))))
#s(approx (+ (* (/ 1/2 x) (* (fabs (- x y)) x)) x) #s(hole binary64 (* 1/2 (fabs (- x y)))))
#s(approx (+ (* (/ 1/2 x) (* (fabs (- x y)) x)) x) #s(hole binary64 (+ x (* 1/2 (fabs (- x y))))))
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (fabs (- x y)) x) #s(hole binary64 (* x (fabs (- x y)))))
#s(approx (fabs (- x y)) #s(hole binary64 (fabs (- x y))))
#s(approx (- x y) #s(hole binary64 (* -1 y)))
#s(approx (- x y) #s(hole binary64 (- x y)))
#s(approx (+ (* (fabs (- x y)) (/ 1/2 x)) 1) #s(hole binary64 (* 1/2 (/ (fabs (- x y)) x))))
#s(approx (+ (* (fabs (- x y)) (/ 1/2 x)) 1) #s(hole binary64 (/ (+ x (* 1/2 (fabs (- x y)))) x)))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) #s(hole binary64 (* 1/2 (pow (sqrt (neg y)) 2))))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) #s(hole binary64 (+ (* 1/2 (pow (sqrt (neg y)) 2)) (* 3/2 x))))
#s(approx (* (sqrt (- x y)) (sqrt (- x y))) #s(hole binary64 (pow (sqrt (neg y)) 2)))
#s(approx (* (sqrt (- x y)) (sqrt (- x y))) #s(hole binary64 (+ x (pow (sqrt (neg y)) 2))))
#s(approx (* (sqrt (- x y)) (sqrt (- x y))) #s(hole binary64 (+ (* x (+ 1 (* (pow x 5) (- (* 7/256 (/ 1 (pow (sqrt (neg y)) 10))) (* 7/256 (/ 1 (pow (sqrt (neg y)) 10))))))) (pow (sqrt (neg y)) 2))))
#s(approx (sqrt (- x y)) #s(hole binary64 (sqrt (neg y))))
#s(approx (sqrt (- x y)) #s(hole binary64 (+ (sqrt (neg y)) (* 1/2 (/ x (sqrt (neg y)))))))
#s(approx (sqrt (- x y)) #s(hole binary64 (+ (sqrt (neg y)) (* x (+ (* -1/8 (/ x (pow (sqrt (neg y)) 3))) (* 1/2 (/ 1 (sqrt (neg y)))))))))
#s(approx (sqrt (- x y)) #s(hole binary64 (+ (sqrt (neg y)) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt (neg y)) 5))) (* 1/8 (/ 1 (pow (sqrt (neg y)) 3))))) (* 1/2 (/ 1 (sqrt (neg y)))))))))
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))))
#s(approx (+ (* (/ 1/2 x) (* (fabs (- x y)) x)) x) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))))
#s(approx (- x y) #s(hole binary64 (* x (+ 1 (* -1 (/ y x))))))
#s(approx (+ (* (fabs (- x y)) (/ 1/2 x)) 1) #s(hole binary64 1))
#s(approx (+ (* (fabs (- x y)) (/ 1/2 x)) 1) #s(hole binary64 (+ 1 (* 1/2 (/ (fabs (- x y)) x)))))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) #s(hole binary64 (* 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 2)))))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow (sqrt (/ 1 x)) 2)) (/ 1 x)))))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) #s(hole binary64 (* (pow x 2) (+ (* -1/2 (/ y (pow x 2))) (+ (* 1/2 (pow (sqrt (/ 1 x)) 2)) (/ 1 x))))))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) #s(hole binary64 (* (pow x 2) (+ (* -1/2 (/ y (pow x 2))) (+ (* 1/2 (/ (+ (* -1/4 (/ (pow y 2) (pow (sqrt (/ 1 x)) 2))) (* 1/4 (/ (pow y 2) (pow (sqrt (/ 1 x)) 2)))) (pow x 4))) (+ (* 1/2 (pow (sqrt (/ 1 x)) 2)) (/ 1 x)))))))
#s(approx (* (sqrt (- x y)) (sqrt (- x y))) #s(hole binary64 (* (pow x 2) (pow (sqrt (/ 1 x)) 2))))
#s(approx (* (sqrt (- x y)) (sqrt (- x y))) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ y (pow x 2))) (pow (sqrt (/ 1 x)) 2)))))
#s(approx (* (sqrt (- x y)) (sqrt (- x y))) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ y (pow x 2))) (+ (* -1/4 (/ (pow y 2) (* (pow x 4) (pow (sqrt (/ 1 x)) 2)))) (+ (* 1/4 (/ (pow y 2) (* (pow x 4) (pow (sqrt (/ 1 x)) 2)))) (pow (sqrt (/ 1 x)) 2)))))))
#s(approx (* (sqrt (- x y)) (sqrt (- x y))) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ y (pow x 2))) (+ (* -1/4 (/ (pow y 2) (* (pow x 4) (pow (sqrt (/ 1 x)) 2)))) (+ (* -1/8 (/ (pow y 3) (* (pow x 6) (pow (sqrt (/ 1 x)) 4)))) (+ (* 1/8 (/ (pow y 3) (* (pow x 6) (pow (sqrt (/ 1 x)) 4)))) (+ (* 1/4 (/ (pow y 2) (* (pow x 4) (pow (sqrt (/ 1 x)) 2)))) (pow (sqrt (/ 1 x)) 2)))))))))
#s(approx (sqrt (- x y)) #s(hole binary64 (* x (sqrt (/ 1 x)))))
#s(approx (sqrt (- x y)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* -1/2 (/ y (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (sqrt (- x y)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (/ y (* (pow x 2) (sqrt (/ 1 x))))) (* -1/8 (/ (pow y 2) (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))
#s(approx (sqrt (- x y)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (/ y (* (pow x 2) (sqrt (/ 1 x))))) (+ (* -1/8 (/ (pow y 2) (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))) (* -1/16 (/ (pow y 3) (* (pow x 6) (pow (sqrt (/ 1 x)) 5))))))))))
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))))
#s(approx (+ (* (/ 1/2 x) (* (fabs (- x y)) x)) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))))
#s(approx (* (fabs (- x y)) x) #s(hole binary64 (* x (fabs (neg (+ y (* -1 x)))))))
#s(approx (fabs (- x y)) #s(hole binary64 (fabs (neg (+ y (* -1 x))))))
#s(approx (- x y) #s(hole binary64 (* -1 (* x (- (/ y x) 1)))))
#s(approx (+ (* (fabs (- x y)) (/ 1/2 x)) 1) #s(hole binary64 (+ 1 (* 1/2 (/ (fabs (neg (+ y (* -1 x)))) x)))))
#s(approx (* 1/2 (fabs (- x y))) #s(hole binary64 (* 1/2 (fabs (neg (+ y (* -1 x)))))))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (- (* 1/2 (/ y x)) 1) x)) (* 1/2 (pow (sqrt (/ 1 x)) 2))))))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 y) (* 1/2 (/ (+ (* -1/4 (/ (pow y 2) (pow (sqrt (/ 1 x)) 2))) (* 1/4 (/ (pow y 2) (pow (sqrt (/ 1 x)) 2)))) (pow x 2)))) x)) 1) x)) (* 1/2 (pow (sqrt (/ 1 x)) 2))))))
#s(approx (sqrt (- x y)) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x))))))
#s(approx (sqrt (- x y)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (* -1/2 (/ y (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (sqrt (- x y)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (/ y (* (pow x 2) (sqrt (/ 1 x))))) (* -1/8 (/ (pow y 2) (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))))
#s(approx (sqrt (- x y)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (/ y (* (pow x 2) (sqrt (/ 1 x))))) (+ (* -1/8 (/ (pow y 2) (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))) (* -1/16 (/ (pow y 3) (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))))))))
#s(approx (- x y) #s(hole binary64 (+ x (* -1 y))))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) #s(hole binary64 (+ x (* 1/2 (pow (sqrt x) 2)))))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) #s(hole binary64 (+ x (+ (* -1/2 y) (* 1/2 (pow (sqrt x) 2))))))
#s(approx (* (sqrt (- x y)) (sqrt (- x y))) #s(hole binary64 (pow (sqrt x) 2)))
#s(approx (* (sqrt (- x y)) (sqrt (- x y))) #s(hole binary64 (+ (* -1 y) (pow (sqrt x) 2))))
#s(approx (* (sqrt (- x y)) (sqrt (- x y))) #s(hole binary64 (+ (* y (- (* (pow y 5) (- (* 7/256 (/ 1 (pow (sqrt x) 10))) (* 7/256 (/ 1 (pow (sqrt x) 10))))) 1)) (pow (sqrt x) 2))))
#s(approx (sqrt (- x y)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (- x y)) #s(hole binary64 (+ (sqrt x) (* -1/2 (/ y (sqrt x))))))
#s(approx (sqrt (- x y)) #s(hole binary64 (+ (sqrt x) (* y (- (* -1/8 (/ y (pow (sqrt x) 3))) (* 1/2 (/ 1 (sqrt x))))))))
#s(approx (sqrt (- x y)) #s(hole binary64 (+ (sqrt x) (* y (- (* y (- (* -1/16 (/ y (pow (sqrt x) 5))) (* 1/8 (/ 1 (pow (sqrt x) 3))))) (* 1/2 (/ 1 (sqrt x))))))))
#s(approx (- x y) #s(hole binary64 (* y (- (/ x y) 1))))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) #s(hole binary64 (* 1/2 (* (pow y 2) (pow (sqrt (/ -1 y)) 2)))))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) #s(hole binary64 (* (pow y 2) (+ (* 1/2 (/ x (pow y 2))) (+ (* 1/2 (pow (sqrt (/ -1 y)) 2)) (/ x (pow y 2)))))))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) #s(hole binary64 (* (pow y 2) (+ (* 1/2 (/ x (pow y 2))) (+ (* 1/2 (/ (+ (* -1/4 (/ (pow x 2) (pow (sqrt (/ -1 y)) 2))) (* 1/4 (/ (pow x 2) (pow (sqrt (/ -1 y)) 2)))) (pow y 4))) (+ (* 1/2 (pow (sqrt (/ -1 y)) 2)) (/ x (pow y 2))))))))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) #s(hole binary64 (* (pow y 2) (+ (* 1/2 (/ x (pow y 2))) (+ (* 1/2 (/ (+ (* -1/4 (/ (pow x 2) (pow (sqrt (/ -1 y)) 2))) (* 1/4 (/ (pow x 2) (pow (sqrt (/ -1 y)) 2)))) (pow y 4))) (+ (* 1/2 (/ (+ (* -1/8 (/ (pow x 3) (pow (sqrt (/ -1 y)) 4))) (* 1/8 (/ (pow x 3) (pow (sqrt (/ -1 y)) 4)))) (pow y 6))) (+ (* 1/2 (pow (sqrt (/ -1 y)) 2)) (/ x (pow y 2)))))))))
#s(approx (* (sqrt (- x y)) (sqrt (- x y))) #s(hole binary64 (* (pow y 2) (pow (sqrt (/ -1 y)) 2))))
#s(approx (* (sqrt (- x y)) (sqrt (- x y))) #s(hole binary64 (* (pow y 2) (+ (/ x (pow y 2)) (pow (sqrt (/ -1 y)) 2)))))
#s(approx (* (sqrt (- x y)) (sqrt (- x y))) #s(hole binary64 (* (pow y 2) (+ (* -1/4 (/ (pow x 2) (* (pow y 4) (pow (sqrt (/ -1 y)) 2)))) (+ (* 1/4 (/ (pow x 2) (* (pow y 4) (pow (sqrt (/ -1 y)) 2)))) (+ (/ x (pow y 2)) (pow (sqrt (/ -1 y)) 2)))))))
#s(approx (* (sqrt (- x y)) (sqrt (- x y))) #s(hole binary64 (* (pow y 2) (+ (* -1/4 (/ (pow x 2) (* (pow y 4) (pow (sqrt (/ -1 y)) 2)))) (+ (* -1/8 (/ (pow x 3) (* (pow y 6) (pow (sqrt (/ -1 y)) 4)))) (+ (* 1/8 (/ (pow x 3) (* (pow y 6) (pow (sqrt (/ -1 y)) 4)))) (+ (* 1/4 (/ (pow x 2) (* (pow y 4) (pow (sqrt (/ -1 y)) 2)))) (+ (/ x (pow y 2)) (pow (sqrt (/ -1 y)) 2)))))))))
#s(approx (sqrt (- x y)) #s(hole binary64 (* y (sqrt (/ -1 y)))))
#s(approx (sqrt (- x y)) #s(hole binary64 (* y (+ (sqrt (/ -1 y)) (* 1/2 (/ x (* (pow y 2) (sqrt (/ -1 y)))))))))
#s(approx (sqrt (- x y)) #s(hole binary64 (* y (+ (sqrt (/ -1 y)) (+ (* -1/8 (/ (pow x 2) (* (pow y 4) (pow (sqrt (/ -1 y)) 3)))) (* 1/2 (/ x (* (pow y 2) (sqrt (/ -1 y))))))))))
#s(approx (sqrt (- x y)) #s(hole binary64 (* y (+ (sqrt (/ -1 y)) (+ (* -1/8 (/ (pow x 2) (* (pow y 4) (pow (sqrt (/ -1 y)) 3)))) (+ (* 1/16 (/ (pow x 3) (* (pow y 6) (pow (sqrt (/ -1 y)) 5)))) (* 1/2 (/ x (* (pow y 2) (sqrt (/ -1 y)))))))))))
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(hole binary64 (+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))))
#s(approx (+ (* (/ 1/2 x) (* (fabs (- x y)) x)) x) #s(hole binary64 (+ x (* 1/2 (fabs (+ x (* -1 y)))))))
#s(approx (* (fabs (- x y)) x) #s(hole binary64 (* x (fabs (+ x (* -1 y))))))
#s(approx (fabs (- x y)) #s(hole binary64 (fabs (+ x (* -1 y)))))
#s(approx (- x y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ x y)))))))
#s(approx (* (+ (* (fabs (- x y)) (/ 1/2 x)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (fabs (+ x (* -1 y))) x))))))
#s(approx (+ (* (fabs (- x y)) (/ 1/2 x)) 1) #s(hole binary64 (+ 1 (* 1/2 (/ (fabs (+ x (* -1 y))) x)))))
#s(approx (* 1/2 (fabs (- x y))) #s(hole binary64 (* 1/2 (fabs (+ x (* -1 y))))))
#s(approx (sqrt (- x y)) #s(hole binary64 (* -1 (* y (sqrt (/ -1 y))))))
#s(approx (sqrt (- x y)) #s(hole binary64 (* -1 (* y (+ (sqrt (/ -1 y)) (* 1/2 (/ x (* (pow y 2) (sqrt (/ -1 y))))))))))
#s(approx (sqrt (- x y)) #s(hole binary64 (* -1 (* y (+ (sqrt (/ -1 y)) (+ (* -1/8 (/ (pow x 2) (* (pow y 4) (pow (sqrt (/ -1 y)) 3)))) (* 1/2 (/ x (* (pow y 2) (sqrt (/ -1 y)))))))))))
#s(approx (sqrt (- x y)) #s(hole binary64 (* -1 (* y (+ (sqrt (/ -1 y)) (+ (* -1/8 (/ (pow x 2) (* (pow y 4) (pow (sqrt (/ -1 y)) 3)))) (+ (* 1/16 (/ (pow x 3) (* (pow y 6) (pow (sqrt (/ -1 y)) 5)))) (* 1/2 (/ x (* (pow y 2) (sqrt (/ -1 y))))))))))))

Outputs
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (*.f64 (/.f64 (-.f64 x y) x) #s(literal 1/2 binary64)) x x))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 x y) x)) (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 x y) x))) (.f64 x x)) (.f64 x x))) (neg.f64 (-.f64 (.f64 (*.f64 (/.f64 (-.f64 x y) x) #s(literal 1/2 binary64)) x) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 (/.f64 (-.f64 x y) x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 (.f64 (.f64 (/.f64 (-.f64 x y) x) #s(literal 1/2 binary64)) x) (.f64 (.f64 (/.f64 (-.f64 x y) x) #s(literal 1/2 binary64)) x) (-.f64 (.f64 x x) (.f64 (.f64 (.f64 (/.f64 (-.f64 x y) x) #s(literal 1/2 binary64)) x) x)))))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 x y) x)) (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 x y) x))) (.f64 x x)) (.f64 x x)) (-.f64 (.f64 (*.f64 (/.f64 (-.f64 x y) x) #s(literal 1/2 binary64)) x) x))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (/.f64 (-.f64 x y) x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 (/.f64 (-.f64 x y) x) #s(literal 1/2 binary64)) x) (.f64 (.f64 (/.f64 (-.f64 x y) x) #s(literal 1/2 binary64)) x) (-.f64 (.f64 x x) (.f64 (.f64 (.f64 (/.f64 (-.f64 x y) x) #s(literal 1/2 binary64)) x) x))))
(fma.f64 (*.f64 (/.f64 (-.f64 x y) x) #s(literal 1/2 binary64)) x x)
(fma.f64 (*.f64 (-.f64 x y) x) (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 x y) x) x)
(-.f64 (/.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 x y) x)) (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 x y) x))) (.f64 x x)) (-.f64 (.f64 (.f64 (/.f64 (-.f64 x y) x) #s(literal 1/2 binary64)) x) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (*.f64 (/.f64 (-.f64 x y) x) #s(literal 1/2 binary64)) x) x)))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 (/.f64 (-.f64 x y) x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 (/.f64 (-.f64 x y) x) #s(literal 1/2 binary64)) x) (.f64 (.f64 (/.f64 (-.f64 x y) x) #s(literal 1/2 binary64)) x) (-.f64 (.f64 x x) (.f64 (.f64 (.f64 (/.f64 (-.f64 x y) x) #s(literal 1/2 binary64)) x) x)))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 (.f64 (/.f64 (-.f64 x y) x) #s(literal 1/2 binary64)) x) (.f64 (.f64 (/.f64 (-.f64 x y) x) #s(literal 1/2 binary64)) x) (-.f64 (.f64 x x) (.f64 (.f64 (.f64 (/.f64 (-.f64 x y) x) #s(literal 1/2 binary64)) x) x)))))
(+.f64 (.f64 (.f64 (/.f64 (-.f64 x y) x) #s(literal 1/2 binary64)) x) x)
(+.f64 x (.f64 (.f64 (/.f64 (-.f64 x y) x) #s(literal 1/2 binary64)) x))
(/.f64 #s(literal -1/2 binary64) (neg.f64 x))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(*.f64 (-.f64 x y) x)
(*.f64 x (-.f64 x y))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 x y)))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 x y)))))
(*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 x y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (-.f64 x y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 x y)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x y)))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 x y))) (neg.f64 (sqrt.f64 (-.f64 x y))))
(*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)))
(pow.f64 (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (-.f64 x y))) #s(literal 2 binary64))
(pow.f64 (-.f64 x y) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (-.f64 x y)) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 y y))) (neg.f64 (+.f64 x y)))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))) (neg.f64 (fma.f64 x x (fma.f64 y y (*.f64 x y)))))
(/.f64 (fabs.f64 (-.f64 (.f64 x x) (.f64 y y))) (fabs.f64 (+.f64 x y)))
(/.f64 (fabs.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))) (fabs.f64 (fma.f64 x x (fma.f64 y y (*.f64 x y)))))
(/.f64 (fabs.f64 (-.f64 (.f64 y y) (.f64 x x))) (fabs.f64 (+.f64 y x)))
(/.f64 (fabs.f64 (-.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))) (fabs.f64 (fma.f64 y y (fma.f64 x x (*.f64 y x)))))
(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 x y))
(/.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)) (fma.f64 x x (fma.f64 y y (*.f64 x y))))
(sqrt.f64 (*.f64 (-.f64 x y) (-.f64 x y)))
(-.f64 (/.f64 (.f64 x x) (+.f64 x y)) (/.f64 (.f64 y y) (+.f64 x y)))
(-.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 x x (fma.f64 y y (.f64 x y)))) (/.f64 (.f64 (.f64 y y) y) (fma.f64 x x (fma.f64 y y (.f64 x y)))))
(-.f64 x y)
(fabs.f64 (neg.f64 (neg.f64 (-.f64 x y))))
(fabs.f64 (neg.f64 (neg.f64 (-.f64 y x))))
(fabs.f64 (neg.f64 (-.f64 x y)))
(fabs.f64 (neg.f64 (-.f64 y x)))
(fabs.f64 (-.f64 x y))
(fabs.f64 (-.f64 y x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 x y))) #s(literal 2 binary64)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 x y)))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 x y)))))
(*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 x y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (-.f64 x y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 x y)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x y)))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 x y))) (neg.f64 (sqrt.f64 (-.f64 x y))))
(*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)))
(pow.f64 (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (-.f64 x y))) #s(literal 2 binary64))
(pow.f64 (-.f64 x y) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (-.f64 x y)) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 y y))) (neg.f64 (+.f64 x y)))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))) (neg.f64 (fma.f64 x x (fma.f64 y y (*.f64 x y)))))
(/.f64 (fabs.f64 (-.f64 (.f64 x x) (.f64 y y))) (fabs.f64 (+.f64 x y)))
(/.f64 (fabs.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))) (fabs.f64 (fma.f64 x x (fma.f64 y y (*.f64 x y)))))
(/.f64 (fabs.f64 (-.f64 (.f64 y y) (.f64 x x))) (fabs.f64 (+.f64 y x)))
(/.f64 (fabs.f64 (-.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))) (fabs.f64 (fma.f64 y y (fma.f64 x x (*.f64 y x)))))
(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 x y))
(/.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)) (fma.f64 x x (fma.f64 y y (*.f64 x y))))
(sqrt.f64 (*.f64 (-.f64 x y) (-.f64 x y)))
(-.f64 (/.f64 (.f64 x x) (+.f64 x y)) (/.f64 (.f64 y y) (+.f64 x y)))
(-.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 x x (fma.f64 y y (.f64 x y)))) (/.f64 (.f64 (.f64 y y) y) (fma.f64 x x (fma.f64 y y (.f64 x y)))))
(-.f64 x y)
(fabs.f64 (neg.f64 (neg.f64 (-.f64 x y))))
(fabs.f64 (neg.f64 (neg.f64 (-.f64 y x))))
(fabs.f64 (neg.f64 (-.f64 x y)))
(fabs.f64 (neg.f64 (-.f64 y x)))
(fabs.f64 (-.f64 x y))
(fabs.f64 (-.f64 y x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 x y))) #s(literal 2 binary64)))
y
#s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 #s(approx (+ ( (fabs (- x y)) (/ 1/2 x)) 1) #s(literal 1 binary64)) x))
(.f64 #s(approx (+ ( (fabs (- x y)) (/ 1/2 x)) 1) #s(literal 1 binary64)) x)
(.f64 x #s(approx (+ ( (fabs (- x y)) (/ 1/2 x)) 1) #s(literal 1 binary64)))
#s(approx (+ (* (fabs (- x y)) (/ 1/2 x)) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y))) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y))))
(*.f64 (sqrt.f64 #s(approx (fabs (- x y)) (neg.f64 y))) (sqrt.f64 #s(approx (fabs (- x y)) (neg.f64 y))))
(pow.f64 (*.f64 #s(approx (fabs (- x y)) (neg.f64 y)) #s(approx (fabs (- x y)) (neg.f64 y))) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(approx (fabs (- x y)) (neg.f64 y)) #s(approx (fabs (- x y)) (neg.f64 y))))
(fabs.f64 (neg.f64 (neg.f64 #s(approx (fabs (- x y)) (neg.f64 y)))))
(fabs.f64 (neg.f64 #s(approx (fabs (- x y)) (neg.f64 y))))
(fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y)))
#s(approx (fabs (- x y)) (neg.f64 y))
(*.f64 (fabs.f64 (sqrt.f64 (neg.f64 y))) (fabs.f64 (sqrt.f64 (neg.f64 y))))
(*.f64 (exp.f64 (log.f64 (sqrt.f64 (neg.f64 y)))) (exp.f64 (log.f64 (sqrt.f64 (neg.f64 y)))))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 y))) (neg.f64 (sqrt.f64 (neg.f64 y))))
(*.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)))
(*.f64 #s(literal -1 binary64) y)
(*.f64 y #s(literal -1 binary64))
(pow.f64 (exp.f64 (log.f64 (sqrt.f64 (neg.f64 y)))) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (neg.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(neg.f64 y)
(sqrt.f64 (*.f64 y y))
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (neg.f64 y))) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (sqrt.f64 (neg.f64 y))) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (sqrt.f64 (neg.f64 y))) #s(literal 2 binary64))))
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y))) #s(literal 1/2 binary64) x))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y))) #s(literal 1/2 binary64)) (.f64 (fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y))) #s(literal 1/2 binary64))) (.f64 x x))) (neg.f64 (-.f64 (*.f64 (fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y))) #s(literal 1/2 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y))) #s(literal 3 binary64)) #s(literal 1/8 binary64) (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 (.f64 (fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y))) #s(literal 1/2 binary64)) (.f64 (fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y))) #s(literal 1/2 binary64)) (-.f64 (.f64 x x) (.f64 (*.f64 (fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y))) #s(literal 1/2 binary64)) x)))))
(/.f64 (-.f64 (.f64 (.f64 (fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y))) #s(literal 1/2 binary64)) (.f64 (fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y))) #s(literal 1/2 binary64))) (.f64 x x)) (-.f64 (*.f64 (fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y))) #s(literal 1/2 binary64)) x))
(/.f64 (fma.f64 (pow.f64 (fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y))) #s(literal 3 binary64)) #s(literal 1/8 binary64) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y))) #s(literal 1/2 binary64)) (.f64 (fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y))) #s(literal 1/2 binary64)) (-.f64 (.f64 x x) (.f64 (*.f64 (fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y))) #s(literal 1/2 binary64)) x))))
(fma.f64 (fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y))) #s(literal 1/2 binary64) x)
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y))) x)
(-.f64 (/.f64 (.f64 (.f64 (fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y))) #s(literal 1/2 binary64)) (.f64 (fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y))) #s(literal 1/2 binary64))) (-.f64 (.f64 (fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y))) #s(literal 1/2 binary64)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y))) #s(literal 1/2 binary64)) x)))
(+.f64 (/.f64 (.f64 (pow.f64 (fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 (fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y))) #s(literal 1/2 binary64)) (.f64 (fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y))) #s(literal 1/2 binary64)) (-.f64 (.f64 x x) (.f64 (.f64 (fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y))) #s(literal 1/2 binary64)) x)))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 (fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y))) #s(literal 1/2 binary64)) (.f64 (fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y))) #s(literal 1/2 binary64)) (-.f64 (.f64 x x) (.f64 (*.f64 (fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y))) #s(literal 1/2 binary64)) x)))))
(+.f64 (*.f64 (fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y))) #s(literal 1/2 binary64)) x)
(+.f64 x (*.f64 (fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y))) #s(literal 1/2 binary64)))
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (.f64 (-.f64 x y) #s(literal 1/2 binary64)) (.f64 (-.f64 x y) #s(literal 1/2 binary64))))) (neg.f64 (-.f64 x (*.f64 (-.f64 x y) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (-.f64 x y) #s(literal 1/2 binary64)) (.f64 (-.f64 x y) #s(literal 1/2 binary64))) (.f64 x x))) (neg.f64 (-.f64 (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) x (.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (.f64 (.f64 (-.f64 x y) #s(literal 1/2 binary64)) (.f64 (-.f64 x y) #s(literal 1/2 binary64))) (.f64 x (*.f64 (-.f64 x y) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64) (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 (.f64 (-.f64 x y) #s(literal 1/2 binary64)) (.f64 (-.f64 x y) #s(literal 1/2 binary64)) (-.f64 (.f64 x x) (.f64 (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) x)))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (-.f64 x y) #s(literal 1/2 binary64)) (.f64 (-.f64 x y) #s(literal 1/2 binary64)))) (-.f64 x (*.f64 (-.f64 x y) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 x y) #s(literal 1/2 binary64)) (.f64 (-.f64 x y) #s(literal 1/2 binary64))) (.f64 x x)) (-.f64 (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) x))
(/.f64 (fma.f64 (.f64 x x) x (.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 x x (-.f64 (.f64 (.f64 (-.f64 x y) #s(literal 1/2 binary64)) (.f64 (-.f64 x y) #s(literal 1/2 binary64))) (.f64 x (*.f64 (-.f64 x y) #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (-.f64 x y) #s(literal 1/2 binary64)) (.f64 (-.f64 x y) #s(literal 1/2 binary64)) (-.f64 (.f64 x x) (.f64 (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) x))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)) x)
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
(fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (-.f64 x y) #s(literal 1/2 binary64)))) (/.f64 (.f64 (.f64 (-.f64 x y) #s(literal 1/2 binary64)) (.f64 (-.f64 x y) #s(literal 1/2 binary64))) (-.f64 x (.f64 (-.f64 x y) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 (-.f64 x y) #s(literal 1/2 binary64)) (.f64 (-.f64 x y) #s(literal 1/2 binary64))) (-.f64 (.f64 (-.f64 x y) #s(literal 1/2 binary64)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (-.f64 x y) #s(literal 1/2 binary64)) x)))
(-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y)))
(+.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 x x (-.f64 (.f64 (.f64 (-.f64 x y) #s(literal 1/2 binary64)) (.f64 (-.f64 x y) #s(literal 1/2 binary64))) (.f64 x (.f64 (-.f64 x y) #s(literal 1/2 binary64)))))) (/.f64 (.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 x x (-.f64 (.f64 (.f64 (-.f64 x y) #s(literal 1/2 binary64)) (.f64 (-.f64 x y) #s(literal 1/2 binary64))) (.f64 x (*.f64 (-.f64 x y) #s(literal 1/2 binary64)))))))
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(+.f64 (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) x)
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#s(approx (/ 1/2 x) (/.f64 #s(literal 1/2 binary64) x))
#s(approx x x)
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#s(approx (fabs (- x y)) (-.f64 x y))
#s(approx (fabs (- x y)) (neg.f64 y))
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#s(approx (+ (* (fabs (- x y)) (/ 1/2 x)) 1) #s(literal 1 binary64))
#s(approx (+ (* (fabs (- x y)) (/ 1/2 x)) 1) (fma.f64 (/.f64 (-.f64 x y) x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (*.f64 #s(literal 1/2 binary64) x))
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#s(approx (fabs (- x y)) x)
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#s(approx (sqrt (- x y)) (.f64 (fma.f64 (/.f64 y (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x x))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
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#s(approx (fabs (- x y)) (fabs.f64 (+.f64 (neg.f64 x) y)))
#s(approx (fabs (- x y)) (*.f64 (neg.f64 x) (-.f64 (/.f64 y x) #s(literal 1 binary64))))
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#s(approx (* 1/2 (fabs (- x y))) (*.f64 (fabs.f64 (+.f64 (neg.f64 x) y)) #s(literal 1/2 binary64)))
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#s(approx (fabs (- x y)) (+.f64 (neg.f64 y) x))
#s(approx y y)
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#s(approx (fabs (- x y)) x)
#s(approx (fabs (- x y)) (+.f64 (neg.f64 y) x))
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#s(approx (fabs (- x y)) (.f64 (+.f64 (/.f64 x (.f64 y y)) (/.f64 #s(literal -1 binary64) y)) (*.f64 y y)))
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#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 (+.f64 (neg.f64 y) x)) #s(literal 1/2 binary64) x))
#s(approx (+ (* (/ 1/2 x) (* (fabs (- x y)) x)) x) (fma.f64 (fabs.f64 (+.f64 (neg.f64 y) x)) #s(literal 1/2 binary64) x))
#s(approx (* (fabs (- x y)) x) (*.f64 (fabs.f64 (+.f64 (neg.f64 y) x)) x))
#s(approx (fabs (- x y)) (fabs.f64 (+.f64 (neg.f64 y) x)))
#s(approx (fabs (- x y)) (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
#s(approx (* (+ (* (fabs (- x y)) (/ 1/2 x)) 1) x) (*.f64 (fma.f64 (/.f64 (fabs.f64 (+.f64 (neg.f64 y) x)) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (+ (* (fabs (- x y)) (/ 1/2 x)) 1) (fma.f64 (/.f64 (fabs.f64 (+.f64 (neg.f64 y) x)) x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (* 1/2 (fabs (- x y))) (*.f64 (fabs.f64 (+.f64 (neg.f64 y) x)) #s(literal 1/2 binary64)))
#s(approx (sqrt (- x y)) (*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal -1 binary64) y))))
#s(approx (sqrt (- x y)) (.f64 (neg.f64 y) (fma.f64 (/.f64 x (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (*.f64 y y))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) y)))))
#s(approx (sqrt (- x y)) (.f64 (neg.f64 y) (+.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (neg.f64 y)) (neg.f64 y))) (.f64 (.f64 y y) (.f64 y y)))) #s(literal -1/8 binary64) (.f64 (/.f64 x (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (.f64 y y))) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal -1 binary64) y)))))
#s(approx (sqrt (- x y)) (.f64 (neg.f64 y) (+.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (neg.f64 y)) (neg.f64 y))) (.f64 (.f64 y y) (.f64 y y)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 (.f64 x x) x) (exp.f64 (fma.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y))) #s(literal 5 binary64) (.f64 (log.f64 y) #s(literal 6 binary64))))) #s(literal 1/16 binary64) (.f64 (/.f64 x (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (*.f64 y y))) #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal -1 binary64) y)))))

eval29.0ms (1.3%)

Memory: 4.2MiB live, 57.8MiB allocated; 9ms collecting garbage
Compiler: Compiled 7 963 to 1 080 computations (86.4% saved)

prune8.0ms (0.3%)

Memory

23.0MiB live, 23.0MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	217	6	223
Fresh	2	0	2
Picked	2	3	5
Done	2	1	3
Total	223	10	233

Accuracy

100.0%

Counts

233 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	58.6%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x))
✓	99.9%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x))
✓	58.4%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))) x))
▶	32.1%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 #s(literal 1/2 binary64) #s(approx (fabs (- x y)) x) x))
▶	54.2%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)))
✓	11.6%	#s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 #s(approx (+ ( (fabs (- x y)) (/ 1/2 x)) 1) #s(literal 1 binary64)) x))
✓	50.4%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y)))))
▶	58.7%	#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))))
▶	28.3%	#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (*.f64 (neg.f64 y) #s(literal 1/2 binary64))))
▶	29.4%	#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (*.f64 #s(literal 1/2 binary64) x)))

Compiler

Compiled 336 to 238 computations (29.2% saved)

series11.0ms (0.5%)

Memory

-28.2MiB live, 19.4MiB allocated; 3ms collecting garbage

Counts

20 → 49

Calls

Call 1

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

Outputs
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(hole binary64 (* 1/2 (fabs (- y x)))))
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(hole binary64 (+ x (* 1/2 (fabs (- y x))))))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) #s(hole binary64 (* 1/2 (pow (sqrt (neg y)) 2))))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) #s(hole binary64 (+ (* 1/2 (pow (sqrt (neg y)) 2)) (* 3/2 x))))
#s(approx (+ (* 3/2 x) (* (neg y) 1/2)) #s(hole binary64 (* -1/2 y)))
#s(approx (+ (* 3/2 x) (* (neg y) 1/2)) #s(hole binary64 (+ (* -1/2 y) (* 3/2 x))))
#s(approx x #s(hole binary64 x))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 (fabs (- x y))) x) #s(hole binary64 (* 1/2 (fabs (- x y)))))
#s(approx (+ (* 1/2 (fabs (- x y))) x) #s(hole binary64 (+ x (* 1/2 (fabs (- x y))))))
#s(approx (fabs (- x y)) #s(hole binary64 (fabs (- x y))))
#s(approx (* (- x y) 1/2) #s(hole binary64 (+ (* -1/2 y) (* 1/2 x))))
#s(approx (- x y) #s(hole binary64 (* -1 y)))
#s(approx (- x y) #s(hole binary64 (- x y)))
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) #s(hole binary64 (* 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 2)))))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow (sqrt (/ 1 x)) 2)) (/ 1 x)))))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) #s(hole binary64 (* (pow x 2) (+ (* -1/2 (/ y (pow x 2))) (+ (* 1/2 (pow (sqrt (/ 1 x)) 2)) (/ 1 x))))))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) #s(hole binary64 (* (pow x 2) (+ (* -1/2 (/ y (pow x 2))) (+ (* 1/2 (/ (+ (* -1/4 (/ (pow y 2) (pow (sqrt (/ 1 x)) 2))) (* 1/4 (/ (pow y 2) (pow (sqrt (/ 1 x)) 2)))) (pow x 4))) (+ (* 1/2 (pow (sqrt (/ 1 x)) 2)) (/ 1 x)))))))
#s(approx (+ (* 3/2 x) (* (neg y) 1/2)) #s(hole binary64 (* 3/2 x)))
#s(approx (+ (* 3/2 x) (* (neg y) 1/2)) #s(hole binary64 (* x (+ 3/2 (* -1/2 (/ y x))))))
#s(approx (+ (* 1/2 (fabs (- x y))) x) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))))
#s(approx (* (- x y) 1/2) #s(hole binary64 (* x (+ 1/2 (* -1/2 (/ y x))))))
#s(approx (- x y) #s(hole binary64 (* x (+ 1 (* -1 (/ y x))))))
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (- (* 1/2 (/ y x)) 1) x)) (* 1/2 (pow (sqrt (/ 1 x)) 2))))))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 y) (* 1/2 (/ (+ (* -1/4 (/ (pow y 2) (pow (sqrt (/ 1 x)) 2))) (* 1/4 (/ (pow y 2) (pow (sqrt (/ 1 x)) 2)))) (pow x 2)))) x)) 1) x)) (* 1/2 (pow (sqrt (/ 1 x)) 2))))))
#s(approx (+ (* 3/2 x) (* (neg y) 1/2)) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))))
#s(approx (+ (* 1/2 (fabs (- x y))) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))))
#s(approx (fabs (- x y)) #s(hole binary64 (fabs (neg (+ y (* -1 x))))))
#s(approx (* (- x y) 1/2) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))))
#s(approx (- x y) #s(hole binary64 (* -1 (* x (- (/ y x) 1)))))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) #s(hole binary64 (+ x (* 1/2 (pow (sqrt x) 2)))))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) #s(hole binary64 (+ x (+ (* -1/2 y) (* 1/2 (pow (sqrt x) 2))))))
#s(approx y #s(hole binary64 y))
#s(approx (- x y) #s(hole binary64 (+ x (* -1 y))))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) #s(hole binary64 (* 1/2 (* (pow y 2) (pow (sqrt (/ -1 y)) 2)))))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) #s(hole binary64 (* (pow y 2) (+ (* 1/2 (/ x (pow y 2))) (+ (* 1/2 (pow (sqrt (/ -1 y)) 2)) (/ x (pow y 2)))))))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) #s(hole binary64 (* (pow y 2) (+ (* 1/2 (/ x (pow y 2))) (+ (* 1/2 (/ (+ (* -1/4 (/ (pow x 2) (pow (sqrt (/ -1 y)) 2))) (* 1/4 (/ (pow x 2) (pow (sqrt (/ -1 y)) 2)))) (pow y 4))) (+ (* 1/2 (pow (sqrt (/ -1 y)) 2)) (/ x (pow y 2))))))))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) #s(hole binary64 (* (pow y 2) (+ (* 1/2 (/ x (pow y 2))) (+ (* 1/2 (/ (+ (* -1/4 (/ (pow x 2) (pow (sqrt (/ -1 y)) 2))) (* 1/4 (/ (pow x 2) (pow (sqrt (/ -1 y)) 2)))) (pow y 4))) (+ (* 1/2 (/ (+ (* -1/8 (/ (pow x 3) (pow (sqrt (/ -1 y)) 4))) (* 1/8 (/ (pow x 3) (pow (sqrt (/ -1 y)) 4)))) (pow y 6))) (+ (* 1/2 (pow (sqrt (/ -1 y)) 2)) (/ x (pow y 2)))))))))
#s(approx (+ (* 3/2 x) (* (neg y) 1/2)) #s(hole binary64 (* y (- (* 3/2 (/ x y)) 1/2))))
#s(approx (* (- x y) 1/2) #s(hole binary64 (* y (- (* 1/2 (/ x y)) 1/2))))
#s(approx (- x y) #s(hole binary64 (* y (- (/ x y) 1))))
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(hole binary64 (+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))))
#s(approx (+ (* 3/2 x) (* (neg y) 1/2)) #s(hole binary64 (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))))
#s(approx (+ (* 1/2 (fabs (- x y))) x) #s(hole binary64 (+ x (* 1/2 (fabs (+ x (* -1 y)))))))
#s(approx (fabs (- x y)) #s(hole binary64 (fabs (+ x (* -1 y)))))
#s(approx (* (- x y) 1/2) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))))
#s(approx (- x y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ x y)))))))

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	((+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (+ (* 3/2 x) (* (neg y) 1/2)) 3/2 x (* (neg y) 1/2) (neg y) y 1/2 (+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (* 1/2 x) (+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (fabs (- x y))) x) (fabs (- x y)) (+ x (/ (fabs (- y x)) 2)) (* (- x y) 1/2) (- x y))
2.0ms	y	@	-inf	((+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (+ (* 3/2 x) (* (neg y) 1/2)) 3/2 x (* (neg y) 1/2) (neg y) y 1/2 (+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (* 1/2 x) (+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (fabs (- x y))) x) (fabs (- x y)) (+ x (/ (fabs (- y x)) 2)) (* (- x y) 1/2) (- x y))
1.0ms	y	@	inf	((+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (+ (* 3/2 x) (* (neg y) 1/2)) 3/2 x (* (neg y) 1/2) (neg y) y 1/2 (+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (* 1/2 x) (+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (fabs (- x y))) x) (fabs (- x y)) (+ x (/ (fabs (- y x)) 2)) (* (- x y) 1/2) (- x y))
1.0ms	x	@	-inf	((+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (+ (* 3/2 x) (* (neg y) 1/2)) 3/2 x (* (neg y) 1/2) (neg y) y 1/2 (+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (* 1/2 x) (+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (fabs (- x y))) x) (fabs (- x y)) (+ x (/ (fabs (- y x)) 2)) (* (- x y) 1/2) (- x y))
1.0ms	x	@	inf	((+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (+ (* 3/2 x) (* (neg y) 1/2)) 3/2 x (* (neg y) 1/2) (neg y) y 1/2 (+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (* 1/2 x) (+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (fabs (- x y))) x) (fabs (- x y)) (+ x (/ (fabs (- y x)) 2)) (* (- x y) 1/2) (- x y))

rewrite160.0ms (6.9%)

Memory

21.7MiB live, 252.8MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	260	1326
0	270	1056
1	1373	1023
0	8387	963

Stop Event

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

Counts

69 → 162

Calls

Call 1

Inputs
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 (neg.f64 y) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))
#s(literal 3/2 binary64)
x
(*.f64 (neg.f64 y) #s(literal 1/2 binary64))
(neg.f64 y)
y
#s(literal 1/2 binary64)
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (*.f64 (neg.f64 y) #s(literal 1/2 binary64))))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 #s(literal 1/2 binary64) #s(approx (fabs (- x y)) x) x))
(fma.f64 #s(literal 1/2 binary64) #s(approx (fabs (- x y)) x) x)
#s(approx (fabs (- x y)) x)
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (-.f64 x y) #s(literal 1/2 binary64))
(-.f64 x y)
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(hole binary64 (* 1/2 (fabs (- y x)))))
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(hole binary64 (+ x (* 1/2 (fabs (- y x))))))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) #s(hole binary64 (* 1/2 (pow (sqrt (neg y)) 2))))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) #s(hole binary64 (+ (* 1/2 (pow (sqrt (neg y)) 2)) (* 3/2 x))))
#s(approx (+ (* 3/2 x) (* (neg y) 1/2)) #s(hole binary64 (* -1/2 y)))
#s(approx (+ (* 3/2 x) (* (neg y) 1/2)) #s(hole binary64 (+ (* -1/2 y) (* 3/2 x))))
#s(approx x #s(hole binary64 x))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 (fabs (- x y))) x) #s(hole binary64 (* 1/2 (fabs (- x y)))))
#s(approx (+ (* 1/2 (fabs (- x y))) x) #s(hole binary64 (+ x (* 1/2 (fabs (- x y))))))
#s(approx (fabs (- x y)) #s(hole binary64 (fabs (- x y))))
#s(approx (* (- x y) 1/2) #s(hole binary64 (+ (* -1/2 y) (* 1/2 x))))
#s(approx (- x y) #s(hole binary64 (* -1 y)))
#s(approx (- x y) #s(hole binary64 (- x y)))
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) #s(hole binary64 (* 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 2)))))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow (sqrt (/ 1 x)) 2)) (/ 1 x)))))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) #s(hole binary64 (* (pow x 2) (+ (* -1/2 (/ y (pow x 2))) (+ (* 1/2 (pow (sqrt (/ 1 x)) 2)) (/ 1 x))))))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) #s(hole binary64 (* (pow x 2) (+ (* -1/2 (/ y (pow x 2))) (+ (* 1/2 (/ (+ (* -1/4 (/ (pow y 2) (pow (sqrt (/ 1 x)) 2))) (* 1/4 (/ (pow y 2) (pow (sqrt (/ 1 x)) 2)))) (pow x 4))) (+ (* 1/2 (pow (sqrt (/ 1 x)) 2)) (/ 1 x)))))))
#s(approx (+ (* 3/2 x) (* (neg y) 1/2)) #s(hole binary64 (* 3/2 x)))
#s(approx (+ (* 3/2 x) (* (neg y) 1/2)) #s(hole binary64 (* x (+ 3/2 (* -1/2 (/ y x))))))
#s(approx (+ (* 1/2 (fabs (- x y))) x) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))))
#s(approx (* (- x y) 1/2) #s(hole binary64 (* x (+ 1/2 (* -1/2 (/ y x))))))
#s(approx (- x y) #s(hole binary64 (* x (+ 1 (* -1 (/ y x))))))
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (- (* 1/2 (/ y x)) 1) x)) (* 1/2 (pow (sqrt (/ 1 x)) 2))))))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 y) (* 1/2 (/ (+ (* -1/4 (/ (pow y 2) (pow (sqrt (/ 1 x)) 2))) (* 1/4 (/ (pow y 2) (pow (sqrt (/ 1 x)) 2)))) (pow x 2)))) x)) 1) x)) (* 1/2 (pow (sqrt (/ 1 x)) 2))))))
#s(approx (+ (* 3/2 x) (* (neg y) 1/2)) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))))
#s(approx (+ (* 1/2 (fabs (- x y))) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))))
#s(approx (fabs (- x y)) #s(hole binary64 (fabs (neg (+ y (* -1 x))))))
#s(approx (* (- x y) 1/2) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))))
#s(approx (- x y) #s(hole binary64 (* -1 (* x (- (/ y x) 1)))))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) #s(hole binary64 (+ x (* 1/2 (pow (sqrt x) 2)))))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) #s(hole binary64 (+ x (+ (* -1/2 y) (* 1/2 (pow (sqrt x) 2))))))
#s(approx y #s(hole binary64 y))
#s(approx (- x y) #s(hole binary64 (+ x (* -1 y))))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) #s(hole binary64 (* 1/2 (* (pow y 2) (pow (sqrt (/ -1 y)) 2)))))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) #s(hole binary64 (* (pow y 2) (+ (* 1/2 (/ x (pow y 2))) (+ (* 1/2 (pow (sqrt (/ -1 y)) 2)) (/ x (pow y 2)))))))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) #s(hole binary64 (* (pow y 2) (+ (* 1/2 (/ x (pow y 2))) (+ (* 1/2 (/ (+ (* -1/4 (/ (pow x 2) (pow (sqrt (/ -1 y)) 2))) (* 1/4 (/ (pow x 2) (pow (sqrt (/ -1 y)) 2)))) (pow y 4))) (+ (* 1/2 (pow (sqrt (/ -1 y)) 2)) (/ x (pow y 2))))))))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) #s(hole binary64 (* (pow y 2) (+ (* 1/2 (/ x (pow y 2))) (+ (* 1/2 (/ (+ (* -1/4 (/ (pow x 2) (pow (sqrt (/ -1 y)) 2))) (* 1/4 (/ (pow x 2) (pow (sqrt (/ -1 y)) 2)))) (pow y 4))) (+ (* 1/2 (/ (+ (* -1/8 (/ (pow x 3) (pow (sqrt (/ -1 y)) 4))) (* 1/8 (/ (pow x 3) (pow (sqrt (/ -1 y)) 4)))) (pow y 6))) (+ (* 1/2 (pow (sqrt (/ -1 y)) 2)) (/ x (pow y 2)))))))))
#s(approx (+ (* 3/2 x) (* (neg y) 1/2)) #s(hole binary64 (* y (- (* 3/2 (/ x y)) 1/2))))
#s(approx (* (- x y) 1/2) #s(hole binary64 (* y (- (* 1/2 (/ x y)) 1/2))))
#s(approx (- x y) #s(hole binary64 (* y (- (/ x y) 1))))
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(hole binary64 (+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))))
#s(approx (+ (* 3/2 x) (* (neg y) 1/2)) #s(hole binary64 (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))))
#s(approx (+ (* 1/2 (fabs (- x y))) x) #s(hole binary64 (+ x (* 1/2 (fabs (+ x (* -1 y)))))))
#s(approx (fabs (- x y)) #s(hole binary64 (fabs (+ x (* -1 y)))))
#s(approx (* (- x y) 1/2) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))))
#s(approx (- x y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ x y)))))))

Outputs
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (-.f64 (.f64 #s(literal 3/2 binary64) x) (.f64 y #s(literal 1/2 binary64)))))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (-.f64 (.f64 #s(literal 3/2 binary64) x) (.f64 y #s(literal 1/2 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 (.f64 #s(literal -3/2 binary64) x) (.f64 #s(literal -3/2 binary64) x))) (fma.f64 (neg.f64 y) #s(literal 1/2 binary64) (.f64 #s(literal -3/2 binary64) x)))
(/.f64 (-.f64 (.f64 #s(literal 9/4 binary64) (.f64 x x)) (.f64 (.f64 (neg.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (.f64 (neg.f64 (neg.f64 y)) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 3/2 binary64) x (.f64 #s(literal -1/2 binary64) (neg.f64 y))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 y y) (neg.f64 y)) #s(literal 1/8 binary64)) (pow.f64 (.f64 #s(literal -3/2 binary64) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (fma.f64 (.f64 #s(literal -3/2 binary64) x) (.f64 #s(literal -3/2 binary64) x) (.f64 (.f64 (neg.f64 y) #s(literal 1/2 binary64)) (.f64 #s(literal -3/2 binary64) x)))))
(/.f64 (-.f64 (.f64 #s(literal 27/8 binary64) (.f64 (.f64 x x) x)) (pow.f64 (.f64 y #s(literal 1/2 binary64)) #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 y #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 27/8 binary64) (.f64 (.f64 x x) x)) (pow.f64 (.f64 (neg.f64 (neg.f64 y)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 9/4 binary64) (.f64 x x) (fma.f64 (.f64 (neg.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (.f64 (neg.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 3/2 binary64) x) (.f64 (neg.f64 (neg.f64 y)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 #s(literal 9/4 binary64) (.f64 x x)))) (neg.f64 (fma.f64 (neg.f64 y) #s(literal 1/2 binary64) (*.f64 #s(literal -3/2 binary64) x))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 y y) (neg.f64 y)) #s(literal 1/8 binary64) (.f64 #s(literal 27/8 binary64) (.f64 (.f64 x x) x)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (-.f64 (.f64 #s(literal 9/4 binary64) (.f64 x x)) (.f64 (.f64 (neg.f64 y) #s(literal 1/2 binary64)) (*.f64 #s(literal 3/2 binary64) x))))))
(/.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) (neg.f64 y)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 27/8 binary64) (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 y y) (neg.f64 y)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 #s(literal 9/4 binary64) (.f64 x x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 (.f64 #s(literal 3/2 binary64) x) (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 #s(literal 9/4 binary64) (.f64 x x))) (fma.f64 (neg.f64 y) #s(literal 1/2 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))) (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal 1/2 binary64))))
(/.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) (neg.f64 y))))
(/.f64 (fma.f64 (.f64 (.f64 y y) (neg.f64 y)) #s(literal 1/8 binary64) (.f64 #s(literal 27/8 binary64) (.f64 (.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (-.f64 (.f64 #s(literal 9/4 binary64) (.f64 x x)) (.f64 (.f64 (neg.f64 y) #s(literal 1/2 binary64)) (*.f64 #s(literal 3/2 binary64) x)))))
(/.f64 (fma.f64 #s(literal 27/8 binary64) (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 y y) (neg.f64 y)) #s(literal 1/8 binary64))) (fma.f64 #s(literal 9/4 binary64) (.f64 x x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 (.f64 #s(literal 3/2 binary64) x) (*.f64 (neg.f64 y) #s(literal 1/2 binary64))))))
(fma.f64 (neg.f64 y) #s(literal 1/2 binary64) (*.f64 #s(literal 3/2 binary64) x))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 y) (*.f64 #s(literal 3/2 binary64) x))
(fma.f64 x #s(literal 3/2 binary64) (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 3/2 binary64) (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))
(-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (fma.f64 (neg.f64 y) #s(literal 1/2 binary64) (.f64 #s(literal -3/2 binary64) x))) (/.f64 (.f64 #s(literal 9/4 binary64) (.f64 x x)) (fma.f64 (neg.f64 y) #s(literal 1/2 binary64) (.f64 #s(literal -3/2 binary64) x))))
(-.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) (neg.f64 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) (neg.f64 y)))))
(-.f64 (.f64 #s(literal 3/2 binary64) x) (.f64 #s(literal -1/2 binary64) (neg.f64 y)))
(-.f64 (.f64 #s(literal 3/2 binary64) x) (.f64 y #s(literal 1/2 binary64)))
(-.f64 (.f64 #s(literal 3/2 binary64) x) (.f64 (neg.f64 (neg.f64 y)) #s(literal 1/2 binary64)))
(-.f64 (.f64 (neg.f64 y) #s(literal 1/2 binary64)) (.f64 (neg.f64 x) #s(literal 3/2 binary64)))
(-.f64 (.f64 (neg.f64 y) #s(literal 1/2 binary64)) (.f64 #s(literal -3/2 binary64) x))
(+.f64 (/.f64 (.f64 (.f64 (.f64 y y) (neg.f64 y)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (-.f64 (.f64 #s(literal 9/4 binary64) (.f64 x x)) (.f64 (.f64 (neg.f64 y) #s(literal 1/2 binary64)) (.f64 #s(literal 3/2 binary64) x))))) (/.f64 (.f64 #s(literal 27/8 binary64) (.f64 (.f64 x x) x)) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (-.f64 (.f64 #s(literal 9/4 binary64) (.f64 x x)) (.f64 (.f64 (neg.f64 y) #s(literal 1/2 binary64)) (.f64 #s(literal 3/2 binary64) x))))))
(+.f64 (/.f64 (.f64 #s(literal 27/8 binary64) (.f64 (.f64 x x) x)) (fma.f64 #s(literal 9/4 binary64) (.f64 x x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 (.f64 #s(literal 3/2 binary64) x) (.f64 (neg.f64 y) #s(literal 1/2 binary64)))))) (/.f64 (.f64 (.f64 (.f64 y y) (neg.f64 y)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 9/4 binary64) (.f64 x x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 (.f64 #s(literal 3/2 binary64) x) (.f64 (neg.f64 y) #s(literal 1/2 binary64)))))))
(+.f64 (.f64 #s(literal 3/2 binary64) x) (.f64 (neg.f64 (neg.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 3/2 binary64) x) (.f64 (neg.f64 y) #s(literal 1/2 binary64)))
(+.f64 (.f64 (neg.f64 y) #s(literal 1/2 binary64)) (.f64 #s(literal 3/2 binary64) x))
#s(literal 3/2 binary64)
x
(*.f64 (neg.f64 y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (neg.f64 y))
(neg.f64 (*.f64 y #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (sqrt.f64 (neg.f64 y))) (fabs.f64 (sqrt.f64 (neg.f64 y))))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 y))) (neg.f64 (sqrt.f64 (neg.f64 y))))
(*.f64 (exp.f64 (log.f64 (sqrt.f64 (neg.f64 y)))) (exp.f64 (log.f64 (sqrt.f64 (neg.f64 y)))))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)))
(*.f64 y #s(literal -1 binary64))
(pow.f64 (exp.f64 (log.f64 (sqrt.f64 (neg.f64 y)))) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (neg.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(neg.f64 y)
(sqrt.f64 (*.f64 y y))
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (neg.f64 y))) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (sqrt.f64 (neg.f64 y))) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (sqrt.f64 (neg.f64 y))) #s(literal 2 binary64))))
y
#s(literal 1/2 binary64)
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (*.f64 #s(literal 1/2 binary64) x))
(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (*.f64 (neg.f64 y) #s(literal 1/2 binary64))))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 #s(approx (- x y) x) #s(literal 1/2 binary64) x))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(approx (- x y) x) #s(approx (- x y) x)) #s(literal 1/4 binary64))) (-.f64 x (.f64 #s(approx (- x y) x) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 (.f64 #s(approx (- x y) x) #s(approx (- x y) x)) #s(literal 1/4 binary64)) (.f64 #s(approx (- x y) x) #s(literal 1/2 binary64)))) (fma.f64 x x (-.f64 (.f64 (.f64 #s(approx (- x y) x) #s(approx (- x y) x)) #s(literal 1/4 binary64)) (.f64 x (*.f64 #s(approx (- x y) x) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 #s(approx (- x y) x) #s(approx (- x y) x)) #s(literal 1/4 binary64)) (.f64 x x))) (neg.f64 (-.f64 (.f64 #s(approx (- x y) x) #s(literal 1/2 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 #s(approx (- x y) x) #s(approx (- x y) x)) #s(literal 1/4 binary64)) (.f64 #s(approx (- x y) x) #s(literal 1/2 binary64)) (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 (.f64 #s(approx (- x y) x) #s(approx (- x y) x)) #s(literal 1/4 binary64) (-.f64 (.f64 x x) (.f64 (*.f64 #s(approx (- x y) x) #s(literal 1/2 binary64)) x)))))
(/.f64 (-.f64 (.f64 (.f64 #s(approx (- x y) x) #s(approx (- x y) x)) #s(literal 1/4 binary64)) (.f64 x x)) (-.f64 (.f64 #s(approx (- x y) x) #s(literal 1/2 binary64)) x))
(/.f64 (fma.f64 (.f64 (.f64 #s(approx (- x y) x) #s(approx (- x y) x)) #s(literal 1/4 binary64)) (.f64 #s(approx (- x y) x) #s(literal 1/2 binary64)) (.f64 (.f64 x x) x)) (fma.f64 (.f64 #s(approx (- x y) x) #s(approx (- x y) x)) #s(literal 1/4 binary64) (-.f64 (.f64 x x) (.f64 (*.f64 #s(approx (- x y) x) #s(literal 1/2 binary64)) x))))
(fma.f64 #s(approx (- x y) x) #s(literal 1/2 binary64) x)
(fma.f64 #s(literal 1/2 binary64) #s(approx (- x y) x) x)
(-.f64 (/.f64 (.f64 (.f64 #s(approx (- x y) x) #s(approx (- x y) x)) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(approx (- x y) x) #s(literal 1/2 binary64)) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 #s(approx (- x y) x) #s(literal 1/2 binary64)) x)))
(-.f64 x (*.f64 (neg.f64 #s(approx (- x y) x)) #s(literal 1/2 binary64)))
(-.f64 x (*.f64 #s(literal -1/2 binary64) #s(approx (- x y) x)))
(+.f64 (/.f64 (.f64 (.f64 (.f64 #s(approx (- x y) x) #s(approx (- x y) x)) #s(literal 1/4 binary64)) (.f64 #s(approx (- x y) x) #s(literal 1/2 binary64))) (fma.f64 (.f64 #s(approx (- x y) x) #s(approx (- x y) x)) #s(literal 1/4 binary64) (-.f64 (.f64 x x) (.f64 (.f64 #s(approx (- x y) x) #s(literal 1/2 binary64)) x)))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 #s(approx (- x y) x) #s(approx (- x y) x)) #s(literal 1/4 binary64) (-.f64 (.f64 x x) (.f64 (.f64 #s(approx (- x y) x) #s(literal 1/2 binary64)) x)))))
(+.f64 (*.f64 #s(approx (- x y) x) #s(literal 1/2 binary64)) x)
(+.f64 x (*.f64 #s(approx (- x y) x) #s(literal 1/2 binary64)))
#s(approx (- x y) x)
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))
(*.f64 (-.f64 x y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 x y))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 x y)))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 x y)))))
(*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 x y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (-.f64 x y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 x y)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x y)))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 x y))) (neg.f64 (sqrt.f64 (-.f64 x y))))
(*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)))
(pow.f64 (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (-.f64 x y))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (-.f64 x y)) #s(literal 2 binary64))
(pow.f64 (-.f64 x y) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (+.f64 x y)))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))) (neg.f64 (fma.f64 x x (fma.f64 y y (*.f64 x y)))))
(/.f64 (fabs.f64 (-.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))) (fabs.f64 (fma.f64 y y (fma.f64 x x (*.f64 y x)))))
(/.f64 (fabs.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (fabs.f64 (+.f64 x y)))
(/.f64 (fabs.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))) (fabs.f64 (fma.f64 x x (fma.f64 y y (*.f64 x y)))))
(/.f64 (fabs.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (fabs.f64 (+.f64 y x)))
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (+.f64 x y))
(/.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)) (fma.f64 x x (fma.f64 y y (*.f64 x y))))
(sqrt.f64 (*.f64 (-.f64 x y) (-.f64 x y)))
(-.f64 (/.f64 (.f64 x x) (+.f64 x y)) (/.f64 (.f64 y y) (+.f64 x y)))
(-.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 x x (fma.f64 y y (.f64 x y)))) (/.f64 (.f64 (.f64 y y) y) (fma.f64 x x (fma.f64 y y (.f64 x y)))))
(-.f64 x y)
(fabs.f64 (neg.f64 (neg.f64 (-.f64 x y))))
(fabs.f64 (neg.f64 (neg.f64 (-.f64 y x))))
(fabs.f64 (neg.f64 (-.f64 x y)))
(fabs.f64 (neg.f64 (-.f64 y x)))
(fabs.f64 (-.f64 x y))
(fabs.f64 (-.f64 y x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 x y))) #s(literal 2 binary64)))
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)))
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (-.f64 (.f64 #s(literal 3/2 binary64) x) (.f64 y #s(literal 1/2 binary64))))
#s(approx (+ (* 3/2 x) (* (neg y) 1/2)) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ (* 3/2 x) (* (neg y) 1/2)) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x)))
#s(approx x x)
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x))
#s(approx (- x y) (-.f64 x y))
#s(approx (* (- x y) 1/2) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (- x y) (neg.f64 y))
#s(approx (- x y) (-.f64 x y))
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x y) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (.f64 x x) x))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (.f64 (fma.f64 (/.f64 y (.f64 x x)) #s(literal -1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 x x)))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (.f64 (fma.f64 (/.f64 y (.f64 x x)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 (/.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) (.f64 x x)))
#s(approx (+ (* 3/2 x) (* (neg y) 1/2)) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (+ (* 3/2 x) (* (neg y) 1/2)) (*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 3/2 binary64)) x))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (*.f64 (fma.f64 (/.f64 (-.f64 x y) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (* (- x y) 1/2) (*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x))
#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (fabs.f64 (+.f64 (neg.f64 x) y)) x) #s(literal -1/2 binary64) #s(literal -1 binary64))))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (.f64 (.f64 x x) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) x)))))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (/.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (.f64 x x)) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) y)) x)) #s(literal 1 binary64)) x))) (.f64 x x)))
#s(approx (+ (* 3/2 x) (* (neg y) 1/2)) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (fabs.f64 (+.f64 (neg.f64 x) y)) x) #s(literal -1/2 binary64) #s(literal -1 binary64))))
#s(approx (- x y) (fabs.f64 (+.f64 (neg.f64 x) y)))
#s(approx (* (- x y) 1/2) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
#s(approx (- x y) (*.f64 (neg.f64 x) (-.f64 (/.f64 y x) #s(literal 1 binary64))))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (fma.f64 #s(literal 1/2 binary64) x x))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (+.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx y y)
#s(approx (- x y) (+.f64 (neg.f64 y) x))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) y)))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (.f64 (fma.f64 (/.f64 x (.f64 y y)) #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64) (/.f64 x (.f64 y y)))) (.f64 y y)))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (.f64 (fma.f64 (/.f64 x (.f64 y y)) #s(literal 1/2 binary64) (fma.f64 (/.f64 (.f64 (/.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) y)) #s(literal 0 binary64)) (.f64 (.f64 y y) (.f64 y y))) #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64) (/.f64 x (.f64 y y))))) (*.f64 y y)))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (.f64 (fma.f64 (/.f64 x (.f64 y y)) #s(literal 1/2 binary64) (fma.f64 (/.f64 (.f64 (/.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) y)) #s(literal 0 binary64)) (.f64 (.f64 y y) (.f64 y y))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) y))) #s(literal 0 binary64)) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y))) #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64) (/.f64 x (.f64 y y)))))) (.f64 y y)))
#s(approx (+ (* 3/2 x) (* (neg y) 1/2)) (.f64 (-.f64 (.f64 (/.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) y))
#s(approx (* (- x y) 1/2) (.f64 (-.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) y))
#s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 (+.f64 (neg.f64 y) x)) #s(literal 1/2 binary64) x))
#s(approx (+ (* 3/2 x) (* (neg y) 1/2)) (*.f64 (neg.f64 y) (fma.f64 #s(literal -3/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (fma.f64 (fabs.f64 (+.f64 (neg.f64 y) x)) #s(literal 1/2 binary64) x))
#s(approx (- x y) (fabs.f64 (+.f64 (neg.f64 y) x)))
#s(approx (* (- x y) 1/2) (*.f64 (neg.f64 y) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (- x y) (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 x y))))

eval27.0ms (1.2%)

Memory: -11.2MiB live, 34.8MiB allocated; 4ms collecting garbage
Compiler: Compiled 5 369 to 736 computations (86.3% saved)

prune9.0ms (0.4%)

Memory

21.4MiB live, 21.4MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	160	3	163
Fresh	0	1	1
Picked	2	3	5
Done	1	3	4
Total	163	10	173

Accuracy

100.0%

Counts

173 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	58.6%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x))
✓	99.9%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x))
✓	58.4%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))) x))
✓	54.2%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)))
✓	50.4%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y)))))
✓	58.7%	#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))))
✓	29.4%	#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (*.f64 #s(literal 1/2 binary64) x)))
	58.6%	#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) #s(approx (+ (* 3/2 x) (* (neg y) 1/2)) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x)))))
	32.1%	#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) #s(approx (+ (* 3/2 x) (* (neg y) 1/2)) (*.f64 #s(literal 3/2 binary64) x))))
	28.3%	#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) #s(approx (+ (* 3/2 x) (* (neg y) 1/2)) (*.f64 #s(literal -1/2 binary64) y))))

Compiler

Compiled 800 to 295 computations (63.1% saved)

regimes26.0ms (1.1%)

Memory

-5.3MiB live, 47.8MiB allocated; 5ms collecting garbage

Counts

24 → 1

Calls

Call 1

Inputs
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) #s(approx (+ (* 3/2 x) (* (neg y) 1/2)) (*.f64 #s(literal -1/2 binary64) y))))
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) #s(approx (+ (* 3/2 x) (* (neg y) 1/2)) (*.f64 #s(literal 3/2 binary64) x))))
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 #s(approx (+ ( (fabs (- x y)) (/ 1/2 x)) 1) #s(literal 1 binary64)) x))
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (*.f64 (neg.f64 y) #s(literal 1/2 binary64))))
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 #s(literal 1/2 binary64) #s(approx (fabs (- x y)) x) x))
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y)))))
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)))
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))))
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))) x))
(+.f64 x (/.f64 (fabs.f64 #s(approx (- y x) y)) #s(literal 2 binary64)))
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x))
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) #s(approx (+ (* 3/2 x) (* (neg y) 1/2)) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x)))))
(+.f64 x (/.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 2 binary64)))
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x))
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))))
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (fabs.f64 (-.f64 x y)) x) x))
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y))) x))
(/.f64 (-.f64 (/.f64 (.f64 #s(approx (- y x) (neg.f64 x)) #s(approx (- y x) (neg.f64 x))) #s(literal 4 binary64)) (.f64 x x)) (-.f64 (/.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 2 binary64)) x))
(/.f64 (-.f64 (/.f64 (.f64 (-.f64 x y) (-.f64 x y)) #s(literal 4 binary64)) (.f64 x x)) (-.f64 (/.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) x))
(/.f64 (fma.f64 (/.f64 (.f64 (-.f64 x y) (-.f64 x y)) #s(literal 4 binary64)) (/.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) (.f64 (.f64 x x) x)) (fma.f64 (/.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) (-.f64 (/.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) x) (.f64 x x)))
#s(approx (+ x (/ (fabs (- y x)) 2)) (/.f64 (.f64 (fma.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 x y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64))))

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

Calls

3 calls:

11.0ms	x
7.0ms	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
7.0ms	y

Results

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

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes19.0ms (0.8%)

Memory

-9.7MiB live, 32.8MiB allocated; 4ms collecting garbage

Counts

14 → 3

Calls

Call 1

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

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

Outputs

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

(+.f64 x (/.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 2 binary64)))

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

Calls

3 calls:

10.0ms	x
4.0ms	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
4.0ms	y

Results

Accuracy	Segments	Branch
82.9%	4	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`
84.3%	3	`x`
86.0%	3	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes9.0ms (0.4%)

Memory

18.6MiB live, 18.6MiB allocated; 0ms collecting garbage

Counts

13 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

4.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
84.3%	3	`x`
76.5%	3	`y`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes5.0ms (0.2%)

Memory

10.0MiB live, 10.0MiB allocated; 0ms collecting garbage

Counts

12 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
84.3%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes42.0ms (1.8%)

Memory

-16.9MiB live, 15.1MiB allocated; 21ms collecting garbage

Counts

11 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

37.0ms	x
4.0ms	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
76.8%	2	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`
79.5%	3	`x`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes4.0ms (0.2%)

Memory

7.5MiB live, 7.5MiB allocated; 0ms collecting garbage

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
79.1%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0.3%)

Memory

10.3MiB live, 10.3MiB allocated; 0ms collecting garbage

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
74.6%	3	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`
78.2%	3	`x`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes3.0ms (0.1%)

Memory

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

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
76.5%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes7.0ms (0.3%)

Memory

15.2MiB live, 15.2MiB allocated; 0ms collecting garbage

Counts

6 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
58.1%	5	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`
51.5%	2	`y`
60.0%	3	`x`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes37.0ms (1.6%)

Memory

-26.9MiB live, 8.8MiB allocated; 17ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

3 calls:

34.0ms	x
1.0ms	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
1.0ms	y

Results

Accuracy	Segments	Branch
51.5%	2	`y`
39.4%	4	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`
46.2%	3	`x`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes3.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
28.3%	1	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`
28.3%	1	`x`
28.3%	1	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch54.0ms (2.3%)

Memory

-16.3MiB live, 52.8MiB allocated; 42ms 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
46.0ms	-1.487937222890488e-118	-7.607099173963045e-133

Samples

8.0ms	227×	0	valid
0.0ms	4×	2	valid
0.0ms	3×	3	valid
0.0ms	6×	1	valid

Compiler

Compiled 411 to 357 computations (13.1% saved)

Precisions

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

ival-fabs: 2.0ms (40.9% of total)

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

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

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

adjust: 0.0ms (0% of total)

bsearch38.0ms (1.6%)

Memory

15.4MiB live, 58.8MiB allocated; 17ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	2.4945479348599593e-232	2.083351726045587e-228
27.0ms	-1.1712646479532675e-7	-1.516809262579707e-12

Samples

9.0ms	271×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 764 to 583 computations (23.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-fabs: 1.0ms (23.8% of total)

ival-add!: 1.0ms (23.8% of total)

ival-sub!: 1.0ms (23.8% of total)

ival-div!: 1.0ms (23.8% of total)

adjust: 0.0ms (0% of total)

bsearch2.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.4945479348599593e-232	2.083351726045587e-228
1.0ms	-1.1712646479532675e-7	-1.516809262579707e-12

Compiler

Compiled 580 to 471 computations (18.8% saved)

bsearch30.0ms (1.3%)

Memory

-13.2MiB live, 29.9MiB allocated; 16ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
28.0ms	2.61695760519719e-9	2.0627275039723087e-7
1.0ms	-1.1712646479532675e-7	-1.516809262579707e-12

Samples

23.0ms	100×	0	valid
1.0ms	9×	1	valid
0.0ms	3×	2	valid

Compiler

Compiled 686 to 528 computations (23% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-fabs: 20.0ms (94.3% of total)

ival-div!: 1.0ms (4.7% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch31.0ms (1.3%)

Memory

-2.1MiB live, 38.3MiB allocated; 14ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.61695760519719e-9	2.0627275039723087e-7
29.0ms	-5.481086893811725e-212	-6.487220605083175e-221

Samples

24.0ms

144×

valid

Compiler

Compiled 622 to 496 computations (20.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-div!: 19.0ms (90.9% of total)

ival-sub!: 1.0ms (4.8% of total)

ival-fabs: 1.0ms (4.8% of total)

adjust: 0.0ms (0% of total)

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

bsearch2.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.61695760519719e-9	2.0627275039723087e-7
1.0ms	-5.481086893811725e-212	-6.487220605083175e-221

Compiler

Compiled 670 to 528 computations (21.2% saved)

bsearch12.0ms (0.5%)

Memory

10.9MiB live, 10.9MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.61695760519719e-9	2.0627275039723087e-7
10.0ms	-9.499464155770989e+66	-1.0248519108465714e+61

Samples

5.0ms

144×

valid

Compiler

Compiled 778 to 582 computations (25.2% saved)

Precisions

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

ival-fabs: 1.0ms (46.3% of total)

ival-div!: 1.0ms (46.3% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch19.0ms (0.8%)

Memory

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

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	3.285800321023176e-166	9.724240525844294e-161
7.0ms	-1.1271291225848159e+30	-7.321875820283634e+28

Samples

8.0ms	231×	0	valid
1.0ms	9×	1	valid

Compiler

Compiled 1 007 to 696 computations (30.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-fabs: 1.0ms (25.6% of total)

ival-add!: 1.0ms (25.6% of total)

ival-sub!: 1.0ms (25.6% of total)

ival-div!: 1.0ms (25.6% of total)

adjust: 0.0ms (0% of total)

bsearch8.0ms (0.3%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	-7.353348232557236e-85	-1.5136249725755862e-85

Samples

3.0ms	95×	0	valid
0.0ms	1×	2	valid

Compiler

Compiled 431 to 300 computations (30.4% saved)

Precisions

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

ival-fabs: 1.0ms (62.6% of total)

adjust: 0.0ms (0% of total)

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

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

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

derivations285.0ms (12.2%)

Memory

-40.1MiB live, 153.1MiB allocated; 39ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 726 to 95 computations (86.9% saved)

preprocess110.0ms (4.7%)

Memory: 40.1MiB live, 182.5MiB allocated; 22ms collecting garbage
Compiler: Compiled 734 to 102 computations (86.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample743.0ms (31.8%)

preprocess117.0ms (5%)

series5.0ms (0.2%)

rewrite79.0ms (3.4%)

eval5.0ms (0.2%)

prune5.0ms (0.2%)

series23.0ms (1%)

rewrite103.0ms (4.4%)

eval27.0ms (1.1%)

prune10.0ms (0.4%)

series26.0ms (1.1%)

rewrite192.0ms (8.2%)

eval29.0ms (1.3%)

prune8.0ms (0.3%)

series11.0ms (0.5%)

rewrite160.0ms (6.9%)

eval27.0ms (1.2%)

prune9.0ms (0.4%)

regimes26.0ms (1.1%)

regimes19.0ms (0.8%)

regimes9.0ms (0.4%)

regimes5.0ms (0.2%)

regimes42.0ms (1.8%)

regimes4.0ms (0.2%)

regimes6.0ms (0.3%)

regimes3.0ms (0.1%)

regimes7.0ms (0.3%)

regimes37.0ms (1.6%)

regimes3.0ms (0.1%)

bsearch54.0ms (2.3%)

bsearch38.0ms (1.6%)

bsearch2.0ms (0.1%)

bsearch30.0ms (1.3%)

bsearch31.0ms (1.3%)

bsearch2.0ms (0.1%)

bsearch12.0ms (0.5%)

bsearch19.0ms (0.8%)

bsearch8.0ms (0.3%)

derivations285.0ms (12.2%)

preprocess110.0ms (4.7%)

end0.0ms (0%)

Profiling