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

0.7MiB live, 0.7MiB 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)

sample775.0ms (39.3%)

Memory

46.6MiB live, 1 097.6MiB allocated; 284ms collecting garbage

Samples

464.0ms	7 918×	0	valid
22.0ms	142×	1	valid
13.0ms	120×	2	valid
10.0ms	76×	3	valid

Precisions

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

ival-fabs: 62.0ms (29.7% of total)

ival-sub!: 59.0ms (28.2% of total)

ival-div!: 53.0ms (25.4% of total)

ival-add!: 24.0ms (11.5% of total)

adjust: 12.0ms (5.7% of total)

Bogosity

preprocess77.0ms (3.9%)

Memory

-55.3MiB live, 68.2MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Compiler

Compiled 14 to 14 computations (0% saved)

series4.0ms (0.2%)

Memory

18.0MiB live, 18.0MiB allocated; 0ms collecting garbage

Counts

7 → 19

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite76.0ms (3.8%)

Memory

14.5MiB live, 106.8MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	268
0	75	250
1	306	242
0	2415	238

Stop Event

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

Counts

26 → 66

Calls

Call 1

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

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

eval5.0ms (0.3%)

Memory: 11.6MiB live, 11.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 546 to 251 computations (54% saved)

prune56.0ms (2.8%)

Memory

-33.3MiB live, 21.4MiB allocated; 5ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	49	6	55
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	6	56

Accuracy

100.0%

Counts

56 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.7%	(/.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)))
▶	51.6%	(+.f64 x (/.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 2 binary64)))
▶	57.8%	(+.f64 x (/.f64 (fabs.f64 #s(approx (- y x) y)) #s(literal 2 binary64)))
▶	99.9%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x))
▶	88.4%	#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))
▶	52.5%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))))

Compiler

Compiled 160 to 142 computations (11.3% saved)

series14.0ms (0.7%)

Memory

26.1MiB live, 26.1MiB allocated; 0ms 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
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	x	@	-inf	((+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (fabs (- x y))) x) 1/2 (fabs (- x y)) (- x y) x y (+ x (/ (fabs (- y x)) 2)) (* 1/2 (fabs (- x y))) (+ x (/ (fabs (- y x)) 2)) (/ (fabs (- y x)) 2) (fabs (- y x)) (- y x) 2 (+ x (/ (fabs (- y x)) 2)) (/ (fabs (- y x)) 2) (fabs (- y x)) (- y x) (neg x) (+ x (/ (fabs (- y x)) 2)) (* (+ (* (fabs (- x y)) (/ 1/2 x)) 1) x) (+ (* (fabs (- x y)) (/ 1/2 x)) 1) (/ 1/2 x) 1)
2.0ms	y	@	-inf	((+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (fabs (- x y))) x) 1/2 (fabs (- x y)) (- x y) x y (+ x (/ (fabs (- y x)) 2)) (* 1/2 (fabs (- x y))) (+ x (/ (fabs (- y x)) 2)) (/ (fabs (- y x)) 2) (fabs (- y x)) (- y x) 2 (+ x (/ (fabs (- y x)) 2)) (/ (fabs (- y x)) 2) (fabs (- y x)) (- y x) (neg x) (+ x (/ (fabs (- y x)) 2)) (* (+ (* (fabs (- x y)) (/ 1/2 x)) 1) x) (+ (* (fabs (- x y)) (/ 1/2 x)) 1) (/ 1/2 x) 1)
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)

rewrite130.0ms (6.6%)

Memory

-10.7MiB live, 177.4MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	142	784
0	164	730
1	602	714
0	3864	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 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 (fabs.f64 (-.f64 x y)) x)) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 x y))))
(/.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal -1/2 binary64) (neg.f64 x))
(/.f64 #s(literal 1/2 binary64) x)
(neg.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 x)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) x))
#s(literal 1 binary64)
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)))
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x))
#s(approx (+ (* 1/2 (fabs (- x y))) x) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)))
#s(approx (+ (* 1/2 (fabs (- x y))) x) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x))
#s(approx (fabs (- y x)) (fabs.f64 (-.f64 x y)))
#s(approx (- x y) (neg.f64 y))
#s(approx (- x y) (-.f64 x y))
#s(approx x x)
#s(approx (fabs (- y x)) (fabs.f64 (-.f64 x y)))
#s(approx (- y x) y)
#s(approx (- y x) (-.f64 y x))
#s(approx (neg x) (neg.f64 x))
#s(approx (+ (* (fabs (- x y)) (/ 1/2 x)) 1) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 x y))))
#s(approx (+ (* (fabs (- x y)) (/ 1/2 x)) 1) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 x y)) #s(literal 1 binary64)))
#s(approx (/ 1/2 x) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) x)) (fabs.f64 (-.f64 x y)) x))
#s(approx (+ (* 1/2 (fabs (- x y))) x) (fma.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) x)) (fabs.f64 (-.f64 x y)) x))
#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))
#s(approx (- y x) (*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x))
#s(approx (+ (* (fabs (- x y)) (/ 1/2 x)) 1) #s(literal 1 binary64))
#s(approx (+ (* (fabs (- x y)) (/ 1/2 x)) 1) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 x y)) #s(literal 1 binary64)))
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64))) x))
#s(approx (+ (* 1/2 (fabs (- x y))) x) (*.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64))) x))
#s(approx (fabs (- y x)) (fabs.f64 (-.f64 x y)))
#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))
#s(approx (* 1/2 (fabs (- x y))) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)))
#s(approx (/ (fabs (- y x)) 2) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)))
#s(approx (fabs (- y x)) (fabs.f64 (-.f64 x y)))
#s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (neg.f64 x)))
#s(approx (+ (* (fabs (- x y)) (/ 1/2 x)) 1) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 x y)) #s(literal 1 binary64)))
#s(approx (- x y) (-.f64 x y))
#s(approx (- y x) (-.f64 y x))
#s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))
#s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x))
#s(approx (+ (* 1/2 (fabs (- x y))) x) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x))
#s(approx (fabs (- y x)) (fabs.f64 (-.f64 x y)))
#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (neg.f64 y)))
#s(approx (* 1/2 (fabs (- x y))) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)))
#s(approx (/ (fabs (- y x)) 2) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)))
#s(approx (fabs (- y x)) (fabs.f64 (-.f64 x y)))
#s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))
#s(approx (* (+ (* (fabs (- x y)) (/ 1/2 x)) 1) x) (fma.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) x)) (fabs.f64 (-.f64 x y)) x))
#s(approx (+ (* (fabs (- x y)) (/ 1/2 x)) 1) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 x y)) #s(literal 1 binary64)))

eval27.0ms (1.4%)

Memory: -18.7MiB live, 72.7MiB allocated; 8ms collecting garbage
Compiler: Compiled 2 832 to 923 computations (67.4% saved)

prune9.0ms (0.4%)

Memory

26.3MiB live, 26.3MiB allocated; 0ms collecting garbage

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	248	7	255
Fresh	1	0	1
Picked	1	4	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
	15.5%	(/.f64 (fma.f64 (/.f64 (.f64 #s(approx (- y x) (neg.f64 x)) #s(approx (- y x) (neg.f64 x))) #s(literal 4 binary64)) (/.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 2 binary64)) (.f64 (.f64 x x) x)) (fma.f64 (/.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 2 binary64)) (-.f64 (/.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 2 binary64)) x) (.f64 x x)))
✓	51.6%	(+.f64 x (/.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 2 binary64)))
▶	66.5%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (fabs.f64 (-.f64 x y)) x) x))
▶	47.4%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y))) x))
✓	99.9%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x))
▶	57.8%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))) x))
	59.5%	#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))))
✓	88.4%	#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))
▶	11.3%	#s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 #s(approx (+ ( (fabs (- x y)) (/ 1/2 x)) 1) #s(literal 1 binary64)) x))
✓	52.5%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))))
▶	49.6%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y)))))

Compiler

Compiled 324 to 276 computations (14.8% saved)

series20.0ms (1%)

Memory

1.8MiB live, 48.2MiB allocated; 2ms collecting garbage

Counts

24 → 69

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	((+ x (/ (fabs (- y x)) 2)) (+ (* (/ 1/2 x) (* (fabs (- x y)) x)) x) (/ 1/2 x) 1/2 x (* (fabs (- x y)) x) (fabs (- x y)) (- x y) y (+ x (/ (fabs (- y x)) 2)) (* (+ (* (fabs (- x y)) (/ 1/2 x)) 1) x) (+ (* (fabs (- x y)) (/ 1/2 x)) 1) 1 (+ x (/ (fabs (- y x)) 2)) (* 1/2 (fabs (- x y))) (fabs (- x y)) (- x y) (neg y) (+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (fabs (- x y))) x) (+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (* (sqrt (- x y)) (sqrt (- x y))) (sqrt (- x y)))
4.0ms	y	@	0	((+ x (/ (fabs (- y x)) 2)) (+ (* (/ 1/2 x) (* (fabs (- x y)) x)) x) (/ 1/2 x) 1/2 x (* (fabs (- x y)) x) (fabs (- x y)) (- x y) y (+ x (/ (fabs (- y x)) 2)) (* (+ (* (fabs (- x y)) (/ 1/2 x)) 1) x) (+ (* (fabs (- x y)) (/ 1/2 x)) 1) 1 (+ x (/ (fabs (- y x)) 2)) (* 1/2 (fabs (- x y))) (fabs (- x y)) (- x y) (neg y) (+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (fabs (- x y))) x) (+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (* (sqrt (- x y)) (sqrt (- x y))) (sqrt (- x y)))
2.0ms	y	@	-inf	((+ x (/ (fabs (- y x)) 2)) (+ (* (/ 1/2 x) (* (fabs (- x y)) x)) x) (/ 1/2 x) 1/2 x (* (fabs (- x y)) x) (fabs (- x y)) (- x y) y (+ x (/ (fabs (- y x)) 2)) (* (+ (* (fabs (- x y)) (/ 1/2 x)) 1) x) (+ (* (fabs (- x y)) (/ 1/2 x)) 1) 1 (+ x (/ (fabs (- y x)) 2)) (* 1/2 (fabs (- x y))) (fabs (- x y)) (- x y) (neg y) (+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (fabs (- x y))) x) (+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (* (sqrt (- x y)) (sqrt (- x y))) (sqrt (- x y)))
2.0ms	y	@	inf	((+ x (/ (fabs (- y x)) 2)) (+ (* (/ 1/2 x) (* (fabs (- x y)) x)) x) (/ 1/2 x) 1/2 x (* (fabs (- x y)) x) (fabs (- x y)) (- x y) y (+ x (/ (fabs (- y x)) 2)) (* (+ (* (fabs (- x y)) (/ 1/2 x)) 1) x) (+ (* (fabs (- x y)) (/ 1/2 x)) 1) 1 (+ x (/ (fabs (- y x)) 2)) (* 1/2 (fabs (- x y))) (fabs (- x y)) (- x y) (neg y) (+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (fabs (- x y))) x) (+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (* (sqrt (- x y)) (sqrt (- x y))) (sqrt (- x y)))
2.0ms	x	@	inf	((+ x (/ (fabs (- y x)) 2)) (+ (* (/ 1/2 x) (* (fabs (- x y)) x)) x) (/ 1/2 x) 1/2 x (* (fabs (- x y)) x) (fabs (- x y)) (- x y) y (+ x (/ (fabs (- y x)) 2)) (* (+ (* (fabs (- x y)) (/ 1/2 x)) 1) x) (+ (* (fabs (- x y)) (/ 1/2 x)) 1) 1 (+ x (/ (fabs (- y x)) 2)) (* 1/2 (fabs (- x y))) (fabs (- x y)) (- x y) (neg y) (+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (fabs (- x y))) x) (+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (* (sqrt (- x y)) (sqrt (- x y))) (sqrt (- x y)))

rewrite71.0ms (3.6%)

Memory

-6.8MiB live, 92.8MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	359	1827
0	380	1491
0	1931	1435

Stop Event

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

Counts

93 → 158

Calls

Call 1

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

Outputs
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (*.f64 (-.f64 x y) x) (/.f64 #s(literal 1/2 binary64) x) x))
(/.f64 (-.f64 (.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 x x)) (-.f64 (.f64 (.f64 (/.f64 (-.f64 x y) x) #s(literal 1/2 binary64)) x) x))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (/.f64 (-.f64 x y) x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 (/.f64 (-.f64 x y) x) #s(literal 1/2 binary64)) x) (.f64 (.f64 (/.f64 (-.f64 x y) x) #s(literal 1/2 binary64)) x) (-.f64 (.f64 x x) (.f64 (.f64 (.f64 (/.f64 (-.f64 x y) x) #s(literal 1/2 binary64)) x) x))))
(fma.f64 (*.f64 (/.f64 (-.f64 x y) x) #s(literal 1/2 binary64)) x x)
(fma.f64 (*.f64 (-.f64 x y) x) (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 x y) x) x)
(+.f64 (.f64 (.f64 (/.f64 (-.f64 x y) x) #s(literal 1/2 binary64)) x) x)
(+.f64 x (.f64 (.f64 (/.f64 (-.f64 x y) x) #s(literal 1/2 binary64)) x))
(/.f64 #s(literal -1/2 binary64) (neg.f64 x))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(*.f64 (-.f64 x y) x)
(*.f64 x (-.f64 x y))
(*.f64 (fabs.f64 (sqrt.f64 (-.f64 x y))) (fabs.f64 (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 (sqrt.f64 (-.f64 x y)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 x y))
(/.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)) (fma.f64 x x (fma.f64 y y (*.f64 x y))))
(sqrt.f64 (*.f64 (-.f64 y x) (-.f64 y x)))
(sqrt.f64 (*.f64 (-.f64 x y) (-.f64 x y)))
(-.f64 x y)
(fabs.f64 (neg.f64 (-.f64 x y)))
(fabs.f64 (neg.f64 (-.f64 y x)))
(fabs.f64 (-.f64 x y))
(fabs.f64 (-.f64 y x))
(*.f64 (fabs.f64 (sqrt.f64 (-.f64 x y))) (fabs.f64 (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 (sqrt.f64 (-.f64 x y)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 x y))
(/.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)) (fma.f64 x x (fma.f64 y y (*.f64 x y))))
(sqrt.f64 (*.f64 (-.f64 y x) (-.f64 y x)))
(sqrt.f64 (*.f64 (-.f64 x y) (-.f64 x y)))
(-.f64 x y)
(fabs.f64 (neg.f64 (-.f64 x y)))
(fabs.f64 (neg.f64 (-.f64 y x)))
(fabs.f64 (-.f64 x y))
(fabs.f64 (-.f64 y x))
y
#s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 #s(approx (+ ( (fabs (- x y)) (/ 1/2 x)) 1) #s(literal 1 binary64)) x))
(.f64 #s(approx (+ ( (fabs (- x y)) (/ 1/2 x)) 1) #s(literal 1 binary64)) x)
(.f64 x #s(approx (+ ( (fabs (- x y)) (/ 1/2 x)) 1) #s(literal 1 binary64)))
#s(approx (+ (* (fabs (- x y)) (/ 1/2 x)) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y))) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y))))
(sqrt.f64 (*.f64 #s(approx (fabs (- x y)) (neg.f64 y)) #s(approx (fabs (- x y)) (neg.f64 y))))
(fabs.f64 (neg.f64 #s(approx (fabs (- x y)) (neg.f64 y))))
(fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y)))
#s(approx (fabs (- x y)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) y)
(*.f64 y #s(literal -1 binary64))
(neg.f64 y)
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y))) #s(literal 1/2 binary64) x))
(/.f64 (-.f64 (.f64 (.f64 (fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y))) #s(literal 1/2 binary64)) (.f64 (fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y))) #s(literal 1/2 binary64))) (.f64 x x)) (-.f64 (*.f64 (fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y))) #s(literal 1/2 binary64)) x))
(/.f64 (+.f64 (pow.f64 (.f64 (fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y))) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y))) #s(literal 1/2 binary64)) (.f64 (fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y))) #s(literal 1/2 binary64)) (-.f64 (.f64 x x) (.f64 (.f64 (fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y))) #s(literal 1/2 binary64)) x))))
(fma.f64 (fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y))) #s(literal 1/2 binary64) x)
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y))) x)
(+.f64 (*.f64 (fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y))) #s(literal 1/2 binary64)) x)
(+.f64 x (*.f64 (fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y))) #s(literal 1/2 binary64)))
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 x y) #s(literal 1/2 binary64)) (.f64 (-.f64 x y) #s(literal 1/2 binary64))) (.f64 x x)) (-.f64 (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) x))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (-.f64 x y) #s(literal 1/2 binary64)) (.f64 (-.f64 x y) #s(literal 1/2 binary64)))) (-.f64 x (*.f64 (-.f64 x y) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 x y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (-.f64 x y) #s(literal 1/2 binary64)) (.f64 (-.f64 x y) #s(literal 1/2 binary64)) (-.f64 (.f64 x x) (.f64 (.f64 (-.f64 x y) #s(literal 1/2 binary64)) x))))
(/.f64 (fma.f64 (.f64 x x) x (pow.f64 (.f64 (-.f64 x y) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (.f64 (-.f64 x y) #s(literal 1/2 binary64)) (.f64 (-.f64 x y) #s(literal 1/2 binary64))) (.f64 x (*.f64 (-.f64 x y) #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)) x)
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
(fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x)
(-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y)))
(+.f64 (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) x)
(+.f64 x (*.f64 (-.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (sqrt.f64 (-.f64 x y))) (fabs.f64 (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 (sqrt.f64 (-.f64 x y)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 x y))
(/.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)) (fma.f64 x x (fma.f64 y y (*.f64 x y))))
(sqrt.f64 (*.f64 (-.f64 y x) (-.f64 y x)))
(sqrt.f64 (*.f64 (-.f64 x y) (-.f64 x y)))
(-.f64 x y)
(fabs.f64 (neg.f64 (-.f64 x y)))
(fabs.f64 (neg.f64 (-.f64 y x)))
(fabs.f64 (-.f64 x y))
(fabs.f64 (-.f64 y x))
(pow.f64 (-.f64 x y) #s(literal 1/2 binary64))
(sqrt.f64 (-.f64 x 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 x) (* (fabs (- x y)) x)) x) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ 1/2 x) (* (fabs (- x y)) x)) x) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x))
#s(approx (/ 1/2 x) (/.f64 #s(literal 1/2 binary64) x))
#s(approx x x)
#s(approx (* (fabs (- x y)) x) (*.f64 (-.f64 x y) x))
#s(approx (fabs (- x y)) (-.f64 x y))
#s(approx (fabs (- x y)) (neg.f64 y))
#s(approx (fabs (- x y)) (-.f64 x y))
#s(approx (+ (* (fabs (- x y)) (/ 1/2 x)) 1) (*.f64 (/.f64 (-.f64 x y) x) #s(literal 1/2 binary64)))
#s(approx (+ (* (fabs (- x y)) (/ 1/2 x)) 1) (/.f64 (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) 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 (sqrt (- x y)) (sqrt.f64 (neg.f64 y)))
#s(approx (sqrt (- x y)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 (neg.f64 y))))
#s(approx (sqrt (- x y)) (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 x (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) y))) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) x (sqrt.f64 (neg.f64 y))))
#s(approx (sqrt (- x y)) (fma.f64 x (fma.f64 x (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) y)))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (.f64 (.f64 (/.f64 x (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))) (sqrt.f64 (pow.f64 y #s(literal -5 binary64)))) #s(literal 1/16 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (neg.f64 y))))
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 x y) #s(literal 1 binary64)) x))
#s(approx (+ (* (/ 1/2 x) (* (fabs (- x y)) x)) x) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 x y) #s(literal 1 binary64)) x))
#s(approx (fabs (- x y)) (*.f64 (+.f64 (/.f64 (neg.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) (-.f64 x y) #s(literal 1 binary64)))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 3/2 binary64)) x))
#s(approx (sqrt (- x y)) (sqrt.f64 x))
#s(approx (sqrt (- x y)) (.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) y) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (- x y)) (.f64 (+.f64 (fma.f64 (.f64 (.f64 y y) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) #s(literal -1/8 binary64) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x))) y) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (- x y)) (.f64 (+.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))) y (fma.f64 (.f64 #s(literal -1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (.f64 (.f64 y y) y) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (fabs.f64 (+.f64 (neg.f64 x) y)) x) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (+ (* (/ 1/2 x) (* (fabs (- x y)) x)) x) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (fabs.f64 (+.f64 (neg.f64 x) y)) x) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (fabs (- x y)) x) (*.f64 (fabs.f64 (+.f64 (neg.f64 x) y)) x))
#s(approx (fabs (- x y)) (fabs.f64 (+.f64 (neg.f64 x) y)))
#s(approx (fabs (- x y)) (*.f64 (neg.f64 x) (-.f64 (/.f64 y x) #s(literal 1 binary64))))
#s(approx (+ (* (fabs (- x y)) (/ 1/2 x)) 1) (fma.f64 (/.f64 (fabs.f64 (+.f64 (neg.f64 x) y)) x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (* 1/2 (fabs (- x y))) (*.f64 (fabs.f64 (+.f64 (neg.f64 x) y)) #s(literal 1/2 binary64)))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (*.f64 (neg.f64 x) #s(literal -3/2 binary64)))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (neg.f64 y) x) #s(literal -1/2 binary64) #s(literal -3/2 binary64))))
#s(approx (fabs (- x y)) (neg.f64 (neg.f64 x)))
#s(approx (fabs (- x y)) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64))))
#s(approx (sqrt (- x y)) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (sqrt (- x y)) (.f64 (neg.f64 x) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (neg.f64 y)) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))))
#s(approx (sqrt (- x y)) (.f64 (neg.f64 x) (fma.f64 (.f64 (.f64 (.f64 y y) #s(literal -1 binary64)) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (neg.f64 y)) #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64))))))
#s(approx (sqrt (- x y)) (.f64 (neg.f64 x) (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (.f64 (.f64 y y) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) (.f64 (.f64 y y) y)) #s(literal -1 binary64)) #s(literal 1/16 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (neg.f64 y)) #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))))))
#s(approx (fabs (- x y)) (+.f64 (neg.f64 y) x))
#s(approx y y)
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (+.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (sqrt (- x y)) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal -1/2 binary64) (sqrt.f64 x)))
#s(approx (sqrt (- x y)) (fma.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) y) #s(literal -1/8 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))) y (sqrt.f64 x)))
#s(approx (sqrt (- x y)) (fma.f64 (fma.f64 (fma.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) y) #s(literal -1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) #s(literal -1/8 binary64))) y (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))) y (sqrt.f64 x)))
#s(approx (fabs (- 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 (.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) y))
#s(approx (sqrt (- x y)) (.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) y))) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))) y))
#s(approx (sqrt (- x y)) (.f64 (fma.f64 (/.f64 (.f64 (.f64 x x) (sqrt.f64 (pow.f64 y #s(literal -5 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) y))) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))))) y))
#s(approx (sqrt (- x y)) (.f64 (fma.f64 (/.f64 (.f64 (.f64 x x) (sqrt.f64 (pow.f64 y #s(literal -5 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64) (fma.f64 (.f64 (sqrt.f64 (pow.f64 y #s(literal -7 binary64))) (/.f64 (.f64 (.f64 x x) x) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64)))) #s(literal 1/16 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) y))) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))))) y))
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 (+.f64 (neg.f64 y) x)) #s(literal 1/2 binary64) x))
#s(approx (+ (* (/ 1/2 x) (* (fabs (- x y)) x)) x) (fma.f64 (fabs.f64 (+.f64 (neg.f64 y) x)) #s(literal 1/2 binary64) x))
#s(approx (* (fabs (- x y)) x) (*.f64 (fabs.f64 (+.f64 (neg.f64 y) x)) x))
#s(approx (fabs (- x y)) (fabs.f64 (+.f64 (neg.f64 y) x)))
#s(approx (fabs (- x y)) (*.f64 (neg.f64 y) (+.f64 (/.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 (* 1/2 (fabs (- x y))) (*.f64 (fabs.f64 (+.f64 (neg.f64 y) x)) #s(literal 1/2 binary64)))
#s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (.f64 (neg.f64 y) (+.f64 (neg.f64 (.f64 #s(literal 3/2 binary64) (/.f64 x y))) #s(literal 1/2 binary64))))
#s(approx (sqrt (- x y)) (neg.f64 (sqrt.f64 (neg.f64 y))))
#s(approx (sqrt (- x y)) (.f64 (neg.f64 y) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) y))) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))))))
#s(approx (sqrt (- x y)) (.f64 (neg.f64 y) (fma.f64 (.f64 (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (pow.f64 y #s(literal -5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) y))) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))))))
#s(approx (sqrt (- x y)) (.f64 (neg.f64 y) (fma.f64 (.f64 (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (pow.f64 y #s(literal -5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (pow.f64 y #s(literal -7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) y))) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))))))))

eval15.0ms (0.8%)

Memory: -5.1MiB live, 40.6MiB allocated; 3ms collecting garbage
Compiler: Compiled 1 937 to 644 computations (66.8% saved)

prune7.0ms (0.3%)

Memory

16.9MiB live, 16.9MiB allocated; 0ms collecting garbage

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	128	5	133
Fresh	2	0	2
Picked	2	3	5
Done	1	3	4
Total	133	11	144

Accuracy

100.0%

Counts

144 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.6%	(+.f64 x (/.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 2 binary64)))
▶	52.7%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x))
✓	99.9%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x))
✓	57.8%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))) x))
✓	88.4%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))
▶	53.8%	#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))
✓	49.6%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y)))))
▶	52.7%	#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))))
▶	30.1%	#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (*.f64 #s(literal 3/2 binary64) x)))
▶	25.0%	#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)))

Compiler

Compiled 244 to 232 computations (4.9% saved)

series59.0ms (3%)

Memory

-31.6MiB live, 15.3MiB allocated; 1ms collecting garbage

Counts

19 → 33

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

Calls

6 calls:

Time	Variable		Point	Expression
53.0ms	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 y) -1/2 (+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (* 3/2 x) 3/2 (+ x (/ (fabs (- y x)) 2)) (+ (* (- x y) 1/2) x) (+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (+ (* 3/2 x) (* -1/2 y)))
2.0ms	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 y) -1/2 (+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (* 3/2 x) 3/2 (+ x (/ (fabs (- y x)) 2)) (+ (* (- x y) 1/2) x) (+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (+ (* 3/2 x) (* -1/2 y)))
1.0ms	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 y) -1/2 (+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (* 3/2 x) 3/2 (+ x (/ (fabs (- y x)) 2)) (+ (* (- x y) 1/2) x) (+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (+ (* 3/2 x) (* -1/2 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 y) -1/2 (+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (* 3/2 x) 3/2 (+ x (/ (fabs (- y x)) 2)) (+ (* (- x y) 1/2) x) (+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (+ (* 3/2 x) (* -1/2 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 y) -1/2 (+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (* 3/2 x) 3/2 (+ x (/ (fabs (- y x)) 2)) (+ (* (- x y) 1/2) x) (+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (+ (* 3/2 x) (* -1/2 y)))

rewrite122.0ms (6.2%)

Memory

2.8MiB live, 80.3MiB allocated; 98ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	156	733
0	165	590
0	798	580

Stop Event

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

Counts

52 → 87

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

eval14.0ms (0.7%)

Memory: -22.8MiB live, 26.9MiB allocated; 9ms collecting garbage
Compiler: Compiled 684 to 350 computations (48.8% saved)

prune8.0ms (0.4%)

Memory

21.5MiB live, 21.5MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	84	2	86
Fresh	0	0	0
Picked	0	5	5
Done	3	3	6
Total	87	10	97

Accuracy

100.0%

Counts

97 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.7%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x))
	33.1%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 #s(approx (- x y) (neg.f64 y)) #s(literal 1/2 binary64) x))
✓	99.9%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x))
✓	88.4%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))
✓	53.8%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)))
✓	49.6%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y)))))
✓	52.7%	#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))))
✓	30.1%	#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (*.f64 #s(literal 3/2 binary64) x)))
✓	25.0%	#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)))
	32.0%	#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- x y) 1/2) (*.f64 #s(literal 1/2 binary64) x)))

Compiler

Compiled 356 to 253 computations (28.9% saved)

regimes22.0ms (1.1%)

Memory

6.6MiB live, 52.3MiB allocated; 4ms collecting garbage

Counts

21 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	y
6.0ms	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
6.0ms	x

Results

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

Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes16.0ms (0.8%)

Memory

-2.7MiB live, 41.5MiB allocated; 3ms collecting garbage

Counts

13 → 3

Calls

Call 1

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

7.0ms	y
4.0ms	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
4.0ms	x

Results

Accuracy	Segments	Branch
79.1%	2	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`
86.1%	3	`x`
84.5%	3	`y`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes9.0ms (0.4%)

Memory

-36.5MiB live, 18.0MiB allocated; 4ms collecting garbage

Counts

11 → 3

Calls

Call 1

Inputs
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- x y) 1/2) (*.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 (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* 1/2 (* (sqrt (- x y)) (sqrt (- x y)))) x) (*.f64 #s(literal 3/2 binary64) x)))
#s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 #s(approx (+ ( (fabs (- x y)) (/ 1/2 x)) 1) #s(literal 1 binary64)) x))
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.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)) (fma.f64 #s(approx (- x y) (neg.f64 y)) #s(literal 1/2 binary64) x))
#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
86.1%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes8.0ms (0.4%)

Memory

21.8MiB live, 21.8MiB allocated; 0ms collecting garbage

Counts

10 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

4.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
71.0%	2	`y`
82.6%	3	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes3.0ms (0.2%)

Memory

11.1MiB live, 11.1MiB allocated; 0ms collecting garbage

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
81.8%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0.2%)

Memory

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

Counts

7 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
81.3%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0.3%)

Memory

-28.6MiB live, 17.4MiB allocated; 2ms collecting garbage

Counts

5 → 3

Calls

Call 1

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
75.4%	2	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`
78.8%	3	`x`

Compiler

Compiled 8 to 9 computations (-12.5% saved)

regimes6.0ms (0.3%)

Memory

21.8MiB live, 21.8MiB allocated; 0ms collecting garbage

Counts

4 → 3

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
48.9%	3	`y`
54.7%	3	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`
59.7%	3	`x`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes5.0ms (0.2%)

Memory

-35.7MiB live, 11.0MiB allocated; 3ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs

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

Outputs

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

Calls

2 calls:

3.0ms	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
1.0ms	x

Results

Accuracy	Segments	Branch
50.4%	2	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`
42.4%	2	`x`

Compiler

Compiled 8 to 9 computations (-12.5% saved)

regimes3.0ms (0.2%)

Memory

13.7MiB live, 13.7MiB 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 (* (- x y) 1/2) (*.f64 #s(literal 1/2 binary64) x)))

Outputs
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- x y) 1/2) (*.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
32.0%	1	`x`
32.0%	1	`y`
32.0%	1	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch22.0ms (1.1%)

Memory

23.9MiB live, 70.7MiB allocated; 2ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.2767019073246598e-81	1.8570470040535988e-73
8.0ms	-6.186414466899858e+22	-3.30095828913798e+20

Samples

11.0ms	252×	0	valid
0.0ms	3×	1	valid
0.0ms	1×	2	valid

Compiler

Compiled 501 to 516 computations (-3% saved)

Precisions

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

ival-fabs: 1.0ms (24% of total)

ival-add!: 1.0ms (24% of total)

ival-sub!: 1.0ms (24% of total)

ival-div!: 1.0ms (24% of total)

adjust: 0.0ms (0% of total)

bsearch2.0ms (0.1%)

Memory

4.3MiB live, 4.3MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.2767019073246598e-81	1.8570470040535988e-73
1.0ms	-6.186414466899858e+22	-3.30095828913798e+20

Compiler

Compiled 411 to 444 computations (-8% saved)

bsearch13.0ms (0.7%)

Memory

-23.6MiB live, 27.9MiB allocated; 3ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	7.553221461028369e-26	4.1508383834474516e-22
1.0ms	-6.186414466899858e+22	-3.30095828913798e+20

Samples

4.0ms	122×	0	valid
0.0ms	4×	1	valid
0.0ms	2×	2	valid

Compiler

Compiled 450 to 465 computations (-3.3% saved)

Precisions

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

ival-fabs: 1.0ms (44.5% of total)

ival-div!: 1.0ms (44.5% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch11.0ms (0.5%)

Memory

26.1MiB live, 26.1MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	7.553221461028369e-26	4.1508383834474516e-22
9.0ms	-1.1262304654556805e-124	-4.0997104776667025e-127

Samples

4.0ms

128×

valid

Compiler

Compiled 443 to 460 computations (-3.8% saved)

Precisions

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

ival-fabs: 1.0ms (50.5% of total)

ival-div!: 1.0ms (50.5% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch9.0ms (0.5%)

Memory

-27.9MiB live, 18.9MiB allocated; 2ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	7.553221461028369e-26	4.1508383834474516e-22
1.0ms	-1.1262304654556805e-124	-4.0997104776667025e-127

Samples

3.0ms	75×	0	valid
0.0ms	3×	1	valid
0.0ms	2×	2	valid

Compiler

Compiled 475 to 492 computations (-3.6% 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)

bsearch7.0ms (0.4%)

Memory

18.9MiB live, 18.9MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	7.553221461028369e-26	4.1508383834474516e-22
6.0ms	-7.017464595098893e+84	-3.2249571847663253e+84

Samples

3.0ms

80×

valid

Compiler

Compiled 415 to 426 computations (-2.7% 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)

bsearch25.0ms (1.3%)

Memory

-6.1MiB live, 40.5MiB allocated; 3ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.887058773185515e-113	8.71215508225512e-97
12.0ms	-4.901357811538752e-72	-1.4901862668184783e-74

Samples

10.0ms	286×	0	valid
0.0ms	2×	1	valid

Compiler

Compiled 655 to 636 computations (2.9% saved)

Precisions

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

ival-fabs: 2.0ms (43.4% of total)

ival-add!: 1.0ms (21.7% of total)

ival-sub!: 1.0ms (21.7% of total)

ival-div!: 1.0ms (21.7% of total)

adjust: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.101412572925688e-301	3.0289030770977595e-252

Compiler

Compiled 10 to 12 computations (-20% saved)

derivations137.0ms (7%)

Memory

-7.9MiB live, 130.2MiB allocated; 12ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 131 to 83 computations (36.6% saved)

preprocess174.0ms (8.8%)

Memory: 5.2MiB live, 188.2MiB allocated; 85ms collecting garbage
Compiler: Compiled 138 to 90 computations (34.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample775.0ms (39.3%)

preprocess77.0ms (3.9%)

series4.0ms (0.2%)

rewrite76.0ms (3.8%)

eval5.0ms (0.3%)

prune56.0ms (2.8%)

series14.0ms (0.7%)

rewrite130.0ms (6.6%)

eval27.0ms (1.4%)

prune9.0ms (0.4%)

series20.0ms (1%)

rewrite71.0ms (3.6%)

eval15.0ms (0.8%)

prune7.0ms (0.3%)

series59.0ms (3%)

rewrite122.0ms (6.2%)

eval14.0ms (0.7%)

prune8.0ms (0.4%)

regimes22.0ms (1.1%)

regimes16.0ms (0.8%)

regimes9.0ms (0.4%)

regimes8.0ms (0.4%)

regimes3.0ms (0.2%)

regimes3.0ms (0.2%)

regimes6.0ms (0.3%)

regimes6.0ms (0.3%)

regimes5.0ms (0.2%)

regimes3.0ms (0.2%)

bsearch22.0ms (1.1%)

bsearch2.0ms (0.1%)

bsearch13.0ms (0.7%)

bsearch11.0ms (0.5%)

bsearch9.0ms (0.5%)

bsearch7.0ms (0.4%)

bsearch25.0ms (1.3%)

bsearch0.0ms (0%)

derivations137.0ms (7%)

preprocess174.0ms (8.8%)

end0.0ms (0%)

Profiling