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)

sample841.0ms (18.4%)

Memory

18.2MiB live, 831.8MiB allocated; 253ms collecting garbage

Samples

558.0ms	7 952×	0	valid
13.0ms	89×	2	valid
10.0ms	147×	1	valid
10.0ms	68×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 374.0ms

ival-div!: 136.0ms (36.4% of total)

ival-add!: 123.0ms (32.9% of total)

ival-fabs: 75.0ms (20.1% of total)

ival-sub!: 29.0ms (7.8% of total)

adjust: 11.0ms (2.9% of total)

Bogosity

preprocess70.0ms (1.5%)

Memory

-21.1MiB live, 68.8MiB allocated; 20ms 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
▶	100.0%	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))

Compiler

Compiled 14 to 14 computations (0% saved)

series5.0ms (0.1%)

Memory

10.8MiB live, 10.8MiB 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	x	@	0	((+ 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)

rewrite88.0ms (1.9%)

Memory

-5.1MiB live, 133.1MiB allocated; 40ms 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))

eval6.0ms (0.1%)

Memory: 17.6MiB live, 17.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 546 to 251 computations (54% saved)

prune4.0ms (0.1%)

Memory

14.9MiB live, 14.9MiB 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
	48.0%	(/.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))
▶	49.6%	(+.f64 x (/.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 2 binary64)))
▶	59.8%	(+.f64 x (/.f64 (fabs.f64 #s(approx (- y x) y)) #s(literal 2 binary64)))
▶	100.0%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x))
▶	85.2%	#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))
	85.3%	#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))
▶	54.6%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))))

Compiler

Compiled 174 to 170 computations (2.3% saved)

series17.0ms (0.4%)

Memory

-9.4MiB live, 35.5MiB allocated; 7ms 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
5.0ms	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)
3.0ms	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	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)
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)

rewrite2.3s (50.7%)

Memory

-153.0MiB live, 137.2MiB allocated; 2.7s 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)))
(/.f64 (neg.f64 (neg.f64 (fabs.f64 #s(approx (- y x) y)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (fabs.f64 #s(approx (- y x) y))) #s(literal -2 binary64))
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(+.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)))

eval28.0ms (0.6%)

Memory: 19.7MiB live, 64.8MiB allocated; 6ms collecting garbage
Compiler: Compiled 2 821 to 922 computations (67.3% saved)

prune26.0ms (0.6%)

Memory

-16.1MiB live, 34.4MiB allocated; 10ms collecting garbage

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	246	8	254
Fresh	2	0	2
Picked	2	3	5
Done	0	0	0
Total	250	11	261

Accuracy

100.0%

Counts

261 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.5%	(/.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))
✓	49.6%	(+.f64 x (/.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 2 binary64)))
▶	85.3%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (/.f64 (fabs.f64 (-.f64 x y)) x) (*.f64 #s(literal 1/2 binary64) x) x))
	65.4%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (fabs.f64 (-.f64 x y)) x) x))
▶	51.3%	#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))
✓	100.0%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x))
▶	59.8%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))) x))
▶	60.9%	#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))))
▶	11.3%	#s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 #s(approx (+ ( (fabs (- x y)) (/ 1/2 x)) 1) #s(literal 1 binary64)) x))
✓	54.6%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))))
	51.9%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y)))))

Compiler

Compiled 311 to 285 computations (8.4% saved)

series60.0ms (1.3%)

Memory

18.6MiB live, 153.3MiB allocated; 14ms collecting garbage

Counts

34 → 121

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	y	@	inf	((+ x (/ (fabs (- y x)) 2)) (+ (* (/ (fabs (- x y)) x) (* 1/2 x)) x) (/ (fabs (- x y)) x) (fabs (- x y)) (- x y) x y (* 1/2 x) 1/2 (+ 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))) x) (fabs (- x y)) (- x y) (neg y) (+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (* (sqrt (- x y)) (sqrt (- x y))) (sqrt (- x y)) (+ x (/ (fabs (- y x)) 2)) (/ (* (+ (* (pow (/ (fabs (- x y)) x) 3) 1/8) 1) x) (+ (* (* (/ 1/2 x) (fabs (- x y))) (+ (* (/ 1/2 x) (fabs (- x y))) -1)) 1)) (* (+ (* (pow (/ (fabs (- x y)) x) 3) 1/8) 1) x) (+ (* (pow (/ (fabs (- x y)) x) 3) 1/8) 1) (pow (/ (fabs (- x y)) x) 3) 3 1/8 (+ (* (* (/ 1/2 x) (fabs (- x y))) (+ (* (/ 1/2 x) (fabs (- x y))) -1)) 1) (* (/ 1/2 x) (fabs (- x y))) (/ 1/2 x) (+ (* (/ 1/2 x) (fabs (- x y))) -1) -1)
10.0ms	x	@	0	((+ x (/ (fabs (- y x)) 2)) (+ (* (/ (fabs (- x y)) x) (* 1/2 x)) x) (/ (fabs (- x y)) x) (fabs (- x y)) (- x y) x y (* 1/2 x) 1/2 (+ 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))) x) (fabs (- x y)) (- x y) (neg y) (+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (* (sqrt (- x y)) (sqrt (- x y))) (sqrt (- x y)) (+ x (/ (fabs (- y x)) 2)) (/ (* (+ (* (pow (/ (fabs (- x y)) x) 3) 1/8) 1) x) (+ (* (* (/ 1/2 x) (fabs (- x y))) (+ (* (/ 1/2 x) (fabs (- x y))) -1)) 1)) (* (+ (* (pow (/ (fabs (- x y)) x) 3) 1/8) 1) x) (+ (* (pow (/ (fabs (- x y)) x) 3) 1/8) 1) (pow (/ (fabs (- x y)) x) 3) 3 1/8 (+ (* (* (/ 1/2 x) (fabs (- x y))) (+ (* (/ 1/2 x) (fabs (- x y))) -1)) 1) (* (/ 1/2 x) (fabs (- x y))) (/ 1/2 x) (+ (* (/ 1/2 x) (fabs (- x y))) -1) -1)
10.0ms	y	@	0	((+ x (/ (fabs (- y x)) 2)) (+ (* (/ (fabs (- x y)) x) (* 1/2 x)) x) (/ (fabs (- x y)) x) (fabs (- x y)) (- x y) x y (* 1/2 x) 1/2 (+ 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))) x) (fabs (- x y)) (- x y) (neg y) (+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (* (sqrt (- x y)) (sqrt (- x y))) (sqrt (- x y)) (+ x (/ (fabs (- y x)) 2)) (/ (* (+ (* (pow (/ (fabs (- x y)) x) 3) 1/8) 1) x) (+ (* (* (/ 1/2 x) (fabs (- x y))) (+ (* (/ 1/2 x) (fabs (- x y))) -1)) 1)) (* (+ (* (pow (/ (fabs (- x y)) x) 3) 1/8) 1) x) (+ (* (pow (/ (fabs (- x y)) x) 3) 1/8) 1) (pow (/ (fabs (- x y)) x) 3) 3 1/8 (+ (* (* (/ 1/2 x) (fabs (- x y))) (+ (* (/ 1/2 x) (fabs (- x y))) -1)) 1) (* (/ 1/2 x) (fabs (- x y))) (/ 1/2 x) (+ (* (/ 1/2 x) (fabs (- x y))) -1) -1)
9.0ms	x	@	inf	((+ x (/ (fabs (- y x)) 2)) (+ (* (/ (fabs (- x y)) x) (* 1/2 x)) x) (/ (fabs (- x y)) x) (fabs (- x y)) (- x y) x y (* 1/2 x) 1/2 (+ 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))) x) (fabs (- x y)) (- x y) (neg y) (+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (* (sqrt (- x y)) (sqrt (- x y))) (sqrt (- x y)) (+ x (/ (fabs (- y x)) 2)) (/ (* (+ (* (pow (/ (fabs (- x y)) x) 3) 1/8) 1) x) (+ (* (* (/ 1/2 x) (fabs (- x y))) (+ (* (/ 1/2 x) (fabs (- x y))) -1)) 1)) (* (+ (* (pow (/ (fabs (- x y)) x) 3) 1/8) 1) x) (+ (* (pow (/ (fabs (- x y)) x) 3) 1/8) 1) (pow (/ (fabs (- x y)) x) 3) 3 1/8 (+ (* (* (/ 1/2 x) (fabs (- x y))) (+ (* (/ 1/2 x) (fabs (- x y))) -1)) 1) (* (/ 1/2 x) (fabs (- x y))) (/ 1/2 x) (+ (* (/ 1/2 x) (fabs (- x y))) -1) -1)
7.0ms	x	@	-inf	((+ x (/ (fabs (- y x)) 2)) (+ (* (/ (fabs (- x y)) x) (* 1/2 x)) x) (/ (fabs (- x y)) x) (fabs (- x y)) (- x y) x y (* 1/2 x) 1/2 (+ 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))) x) (fabs (- x y)) (- x y) (neg y) (+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (* (sqrt (- x y)) (sqrt (- x y))) (sqrt (- x y)) (+ x (/ (fabs (- y x)) 2)) (/ (* (+ (* (pow (/ (fabs (- x y)) x) 3) 1/8) 1) x) (+ (* (* (/ 1/2 x) (fabs (- x y))) (+ (* (/ 1/2 x) (fabs (- x y))) -1)) 1)) (* (+ (* (pow (/ (fabs (- x y)) x) 3) 1/8) 1) x) (+ (* (pow (/ (fabs (- x y)) x) 3) 1/8) 1) (pow (/ (fabs (- x y)) x) 3) 3 1/8 (+ (* (* (/ 1/2 x) (fabs (- x y))) (+ (* (/ 1/2 x) (fabs (- x y))) -1)) 1) (* (/ 1/2 x) (fabs (- x y))) (/ 1/2 x) (+ (* (/ 1/2 x) (fabs (- x y))) -1) -1)

rewrite212.0ms (4.6%)

Memory

38.5MiB live, 356.1MiB allocated; 57ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	594	4106
0	638	3425
1	3344	3274
0	8847	3171

Stop Event

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

Counts

155 → 387

Calls

Call 1

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

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

eval77.0ms (1.7%)

Memory: -20.2MiB live, 142.9MiB allocated; 57ms collecting garbage
Compiler: Compiled 5 850 to 1 964 computations (66.4% saved)

prune12.0ms (0.3%)

Memory

-11.8MiB live, 34.4MiB allocated; 5ms collecting garbage

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	349	6	355
Fresh	2	1	3
Picked	3	2	5
Done	2	1	3
Total	356	10	366

Accuracy

100.0%

Counts

366 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.6%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x))
✓	100.0%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x))
✓	59.8%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))) x))
▶	27.8%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 #s(literal 1/2 binary64) #s(approx (fabs (- x y)) x) x))
▶	59.9%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)))
✓	11.3%	#s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 #s(approx (+ ( (fabs (- x y)) (/ 1/2 x)) 1) #s(literal 1 binary64)) x))
▶	51.9%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y)))))
	56.6%	#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)))))
▶	30.9%	#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))))
▶	32.3%	#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 264 to 252 computations (4.5% saved)

series12.0ms (0.3%)

Memory

-21.6MiB live, 24.9MiB allocated; 4ms collecting garbage

Counts

20 → 45

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	y	@	inf	((+ x (/ (fabs (- y x)) 2)) (* (- x y) 1/2) (- x y) x 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) (* (neg y) 1/2) (neg y) (+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (fabs (- x y))) x) (fabs (- x y)) (+ x (/ (fabs (- y x)) 2)) (* 1/2 (fabs (- x y))) (fabs (- x y)) (- x y))
2.0ms	y	@	-inf	((+ x (/ (fabs (- y x)) 2)) (* (- x y) 1/2) (- x y) x 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) (* (neg y) 1/2) (neg y) (+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (fabs (- x y))) x) (fabs (- x y)) (+ x (/ (fabs (- y x)) 2)) (* 1/2 (fabs (- x y))) (fabs (- x y)) (- x y))
1.0ms	x	@	-inf	((+ x (/ (fabs (- y x)) 2)) (* (- x y) 1/2) (- x y) x 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) (* (neg y) 1/2) (neg y) (+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (fabs (- x y))) x) (fabs (- x y)) (+ x (/ (fabs (- y x)) 2)) (* 1/2 (fabs (- x y))) (fabs (- x y)) (- x y))
1.0ms	x	@	inf	((+ x (/ (fabs (- y x)) 2)) (* (- x y) 1/2) (- x y) x 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) (* (neg y) 1/2) (neg y) (+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (fabs (- x y))) x) (fabs (- x y)) (+ x (/ (fabs (- y x)) 2)) (* 1/2 (fabs (- x y))) (fabs (- x y)) (- x y))
1.0ms	x	@	0	((+ x (/ (fabs (- y x)) 2)) (* (- x y) 1/2) (- x y) x 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) (* (neg y) 1/2) (neg y) (+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (fabs (- x y))) x) (fabs (- x y)) (+ x (/ (fabs (- y x)) 2)) (* 1/2 (fabs (- x y))) (fabs (- x y)) (- x y))

rewrite160.0ms (3.5%)

Memory

4.0MiB live, 291.0MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	242	1238
0	252	980
1	1272	921
0	8533	872

Stop Event

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

Counts

65 → 144

Calls

Call 1

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

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

eval15.0ms (0.3%)

Memory: 1.4MiB live, 47.3MiB allocated; 3ms collecting garbage
Compiler: Compiled 1 343 to 604 computations (55% saved)

prune9.0ms (0.2%)

Memory

33.2MiB live, 33.2MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	139	2	141
Fresh	1	1	2
Picked	1	4	5
Done	0	3	3
Total	141	10	151

Accuracy

100.0%

Counts

151 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.6%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x))
✓	100.0%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x))
✓	59.8%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))) x))
✓	27.8%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 #s(literal 1/2 binary64) #s(approx (fabs (- x y)) x) x))
✓	59.9%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)))
✓	11.3%	#s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 #s(approx (+ ( (fabs (- x y)) (/ 1/2 x)) 1) #s(literal 1 binary64)) x))
✓	51.9%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y)))))
	56.6%	#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 #s(literal -1/2 binary64) y))))
	30.9%	#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (*.f64 y #s(literal -1/2 binary64))))
✓	32.3%	#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 368 to 263 computations (28.5% saved)

regimes24.0ms (0.5%)

Memory

-31.0MiB live, 69.0MiB 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) (*.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 y #s(literal -1/2 binary64))))
#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) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))))
(+.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 (/.f64 (fabs.f64 (-.f64 x y)) x) (*.f64 #s(literal 1/2 binary64) x) 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 (+ 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))
#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:

8.0ms	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
8.0ms	y
7.0ms	x

Results

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

Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes15.0ms (0.3%)

Memory

2.4MiB live, 47.3MiB allocated; 2ms 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) (*.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 y #s(literal -1/2 binary64))))
#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) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))))
(+.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)))

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

Calls

3 calls:

6.0ms	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
4.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
84.7%	4	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`
87.9%	3	`x`
85.1%	3	`y`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes4.0ms (0.1%)

Memory

15.2MiB live, 15.2MiB allocated; 0ms 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) (*.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 y #s(literal -1/2 binary64))))
#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
87.8%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes18.0ms (0.4%)

Memory

-7.6MiB live, 29.8MiB allocated; 12ms collecting garbage

Counts

10 → 3

Calls

Call 1

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

Calls

2 calls:

14.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
74.9%	2	`y`
83.8%	3	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes6.0ms (0.1%)

Memory

27.5MiB live, 27.5MiB 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) (*.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 y #s(literal -1/2 binary64))))
#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)) (fma.f64 #s(literal 1/2 binary64) #s(approx (fabs (- x y)) x) 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
80.8%	2	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`
83.1%	3	`x`

Compiler

Compiled 8 to 9 computations (-12.5% saved)

regimes10.0ms (0.2%)

Memory

-26.8MiB live, 16.2MiB allocated; 8ms 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) (*.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 y #s(literal -1/2 binary64))))
#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)) (fma.f64 #s(literal 1/2 binary64) #s(approx (fabs (- x y)) x) x))

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
82.6%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.1%)

Memory

16.2MiB live, 16.2MiB allocated; 0ms collecting garbage

Counts

6 → 2

Calls

Call 1

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
78.0%	2	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`
79.1%	3	`x`

Compiler

Compiled 8 to 9 computations (-12.5% saved)

regimes6.0ms (0.1%)

Memory

17.0MiB live, 17.0MiB allocated; 0ms collecting garbage

Counts

5 → 3

Calls

Call 1

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

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
53.5%	3	`y`
63.3%	3	`x`
56.7%	2	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes35.0ms (0.8%)

Memory

-49.8MiB live, 10.7MiB allocated; 38ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

33.0ms	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
2.0ms	x

Results

Accuracy	Segments	Branch
56.7%	2	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`
49.5%	2	`x`

Compiler

Compiled 8 to 9 computations (-12.5% saved)

regimes3.0ms (0.1%)

Memory

12.9MiB live, 12.8MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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
32.3%	1	`x`
32.3%	1	`y`
32.3%	1	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch29.0ms (0.6%)

Memory

2.7MiB live, 52.7MiB allocated; 6ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	2.633061715023023e-15	2.547217874738794e-10
11.0ms	-4.1206951244324306e-33	-2.4956551525281157e-39

Samples

10.0ms	276×	0	valid
5.0ms	4×	1	valid
1.0ms	8×	2	valid

Compiler

Compiled 551 to 570 computations (-3.4% saved)

Precisions

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

ival-fabs: 2.0ms (37.7% of total)

ival-div!: 2.0ms (37.7% of total)

ival-add!: 1.0ms (18.9% of total)

ival-sub!: 1.0ms (18.9% of total)

adjust: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

5.1MiB live, 5.1MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.633061715023023e-15	2.547217874738794e-10
1.0ms	-4.1206951244324306e-33	-2.4956551525281157e-39

Compiler

Compiled 461 to 498 computations (-8% saved)

bsearch7.0ms (0.2%)

Memory

14.7MiB live, 14.7MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	132153622.47788876	248740637.7721088
1.0ms	-4.1206951244324306e-33	-2.4956551525281157e-39

Samples

2.0ms	54×	0	valid
1.0ms	6×	2	valid
0.0ms	4×	1	valid

Compiler

Compiled 344 to 371 computations (-7.8% saved)

Precisions

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

adjust: 0.0ms (0% of total)

ival-fabs: 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)

bsearch9.0ms (0.2%)

Memory

-29.5MiB live, 17.0MiB allocated; 3ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	132153622.47788876	248740637.7721088
8.0ms	-4.1206951244324306e-33	-2.4956551525281157e-39

Samples

3.0ms

80×

valid

Compiler

Compiled 318 to 345 computations (-8.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

adjust: 0.0ms (0% of total)

ival-fabs: 0.0ms (0% of total)

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

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

bsearch6.0ms (0.1%)

Memory

14.3MiB live, 14.3MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
4.0ms	132153622.47788876	248740637.7721088
1.0ms	-4.1206951244324306e-33	-2.4956551525281157e-39

Samples

1.0ms	42×	0	valid
1.0ms	3×	2	valid
0.0ms	3×	1	valid

Compiler

Compiled 344 to 371 computations (-7.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

adjust: 0.0ms (0% of total)

ival-fabs: 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)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6.196317617989886e-252	4.562139087152918e-302

Compiler

Compiled 10 to 12 computations (-20% saved)

bsearch20.0ms (0.4%)

Memory

-4.5MiB live, 42.1MiB allocated; 3ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	2.484855595090556e-90	5.762653110360623e-81
7.0ms	-1.3767155065247025e-48	-1.4620079239032957e-49

Samples

8.0ms	238×	0	valid
0.0ms	1×	2	valid
0.0ms	1×	1	valid

Compiler

Compiled 527 to 516 computations (2.1% saved)

Precisions

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

ival-fabs: 1.0ms (25.4% of total)

ival-add!: 1.0ms (25.4% of total)

ival-sub!: 1.0ms (25.4% of total)

ival-div!: 1.0ms (25.4% of total)

adjust: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.93051709074082e-285	4.2058608363989307e-280

Compiler

Compiled 10 to 12 computations (-20% saved)

derivations334.0ms (7.3%)

Memory

37.2MiB live, 354.5MiB allocated; 93ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 128 to 84 computations (34.4% saved)

preprocess78.0ms (1.7%)

Memory: -5.0MiB live, 134.3MiB allocated; 46ms collecting garbage
Compiler: Compiled 135 to 91 computations (32.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample841.0ms (18.4%)

preprocess70.0ms (1.5%)

series5.0ms (0.1%)

rewrite88.0ms (1.9%)

eval6.0ms (0.1%)

prune4.0ms (0.1%)

series17.0ms (0.4%)

rewrite2.3s (50.7%)

eval28.0ms (0.6%)

prune26.0ms (0.6%)

series60.0ms (1.3%)

rewrite212.0ms (4.6%)

eval77.0ms (1.7%)

prune12.0ms (0.3%)

series12.0ms (0.3%)

rewrite160.0ms (3.5%)

eval15.0ms (0.3%)

prune9.0ms (0.2%)

regimes24.0ms (0.5%)

regimes15.0ms (0.3%)

regimes4.0ms (0.1%)

regimes18.0ms (0.4%)

regimes6.0ms (0.1%)

regimes10.0ms (0.2%)

regimes5.0ms (0.1%)

regimes6.0ms (0.1%)

regimes35.0ms (0.8%)

regimes3.0ms (0.1%)

bsearch29.0ms (0.6%)

bsearch2.0ms (0%)

bsearch7.0ms (0.2%)

bsearch9.0ms (0.2%)

bsearch6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch20.0ms (0.4%)

bsearch0.0ms (0%)

derivations334.0ms (7.3%)

preprocess78.0ms (1.7%)

end0.0ms (0%)

Profiling