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

0.3MiB live, 0.3MiB 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)

sample1.0s (47.2%)

Memory

-23.9MiB live, 1 040.3MiB allocated; 349ms collecting garbage

Samples

671.0ms	7 918×	0	valid
14.0ms	84×	3	valid
13.0ms	109×	2	valid
11.0ms	145×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 268.0ms

ival-add!: 94.0ms (35.1% of total)

ival-fabs: 60.0ms (22.4% of total)

ival-sub!: 55.0ms (20.5% of total)

ival-div!: 46.0ms (17.2% of total)

adjust: 13.0ms (4.9% of total)

Bogosity

explain89.0ms (4.1%)

Memory

-13.8MiB live, 140.6MiB allocated; 38ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`
-	-	`(/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))`
-	-	`(-.f64 y x)`
-	-	`y`
-	-	`#s(literal 2 binary64)`
-	-	`(fabs.f64 (-.f64 y x))`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

22.0ms	482×	0	valid
4.0ms	10×	2	valid
1.0ms	8×	3	valid
1.0ms	12×	1	valid

Compiler

Compiled 60 to 25 computations (58.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

adjust: 4.0ms (29% of total)

ival-fabs: 3.0ms (21.7% of total)

ival-div!: 3.0ms (21.7% of total)

ival-sub!: 2.0ms (14.5% of total)

ival-add!: 1.0ms (7.2% of total)

preprocess89.0ms (4%)

Memory

-16.6MiB live, 29.9MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	56
1	48	54
2	78	54
3	139	54
4	259	54
5	437	54
6	1503	54
7	5186	54

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Compiler

Compiled 16 to 14 computations (12.5% saved)

series5.0ms (0.2%)

Memory

9.2MiB live, 9.1MiB allocated; 0ms collecting garbage

Counts

7 → 22

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)) 2) #s(hole binary64 (* 1/2 (fabs (- y 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))
#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 #s(hole binary64 y))
#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	y	@	-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	x	@	0	((+ x (/ (fabs (- y x)) 2)) x (/ (fabs (- y x)) 2) (fabs (- y x)) (- y x) y 2)

rewrite80.0ms (3.6%)

Memory

29.0MiB live, 74.1MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	294
0	77	274
1	308	268
0	2445	264

Stop Event

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

Counts

29 → 69

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

eval7.0ms (0.3%)

Memory: 7.8MiB live, 7.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 032 to 261 computations (74.7% saved)

prune25.0ms (1.2%)

Memory

-28.4MiB live, 23.0MiB allocated; 7ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	57	7	64
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	58	7	65

Accuracy

99.9%

Counts

65 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.8%	(/.f64 (-.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 x x)) (-.f64 (/.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) x))
	30.4%	(+.f64 x (/.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (*.f64 x (+.f64 y x))))) #s(literal 2 binary64)))
▶	86.2%	(+.f64 x (/.f64 (fabs.f64 #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) 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))
▶	85.7%	#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))
▶	53.3%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))))
▶	11.4%	#s(approx (+ x (/ (fabs (- y x)) 2)) x)

Compiler

Compiled 236 to 174 computations (26.3% saved)

series18.0ms (0.8%)

Memory

28.2MiB live, 28.2MiB allocated; 0ms collecting garbage

Counts

23 → 69

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	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)) (+ x (/ (fabs (- y x)) 2)) (* 1/2 (fabs (- x y))) (+ x (/ (fabs (- y x)) 2)) (* (+ (* (fabs (- x y)) (/ 1/2 x)) 1) x) (+ (* (fabs (- x y)) (/ 1/2 x)) 1) (/ 1/2 x) 1 (+ x (/ (fabs (- y x)) 2)) (/ (fabs (- y x)) 2) (fabs (- y x)) (- y x) (* (- 1 (/ x y)) y) (- 1 (/ x y)) (/ x y) 2)
3.0ms	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)) (+ x (/ (fabs (- y x)) 2)) (* 1/2 (fabs (- x y))) (+ x (/ (fabs (- y x)) 2)) (* (+ (* (fabs (- x y)) (/ 1/2 x)) 1) x) (+ (* (fabs (- x y)) (/ 1/2 x)) 1) (/ 1/2 x) 1 (+ x (/ (fabs (- y x)) 2)) (/ (fabs (- y x)) 2) (fabs (- y x)) (- y x) (* (- 1 (/ x y)) y) (- 1 (/ x y)) (/ x y) 2)
3.0ms	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)) (+ x (/ (fabs (- y x)) 2)) (* 1/2 (fabs (- x y))) (+ x (/ (fabs (- y x)) 2)) (* (+ (* (fabs (- x y)) (/ 1/2 x)) 1) x) (+ (* (fabs (- x y)) (/ 1/2 x)) 1) (/ 1/2 x) 1 (+ x (/ (fabs (- y x)) 2)) (/ (fabs (- y x)) 2) (fabs (- y x)) (- y x) (* (- 1 (/ x y)) y) (- 1 (/ x y)) (/ x y) 2)
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)) (+ x (/ (fabs (- y x)) 2)) (* 1/2 (fabs (- x y))) (+ x (/ (fabs (- y x)) 2)) (* (+ (* (fabs (- x y)) (/ 1/2 x)) 1) x) (+ (* (fabs (- x y)) (/ 1/2 x)) 1) (/ 1/2 x) 1 (+ x (/ (fabs (- y x)) 2)) (/ (fabs (- y x)) 2) (fabs (- y x)) (- y x) (* (- 1 (/ x y)) y) (- 1 (/ x y)) (/ x y) 2)
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)) (+ x (/ (fabs (- y x)) 2)) (* 1/2 (fabs (- x y))) (+ x (/ (fabs (- y x)) 2)) (* (+ (* (fabs (- x y)) (/ 1/2 x)) 1) x) (+ (* (fabs (- x y)) (/ 1/2 x)) 1) (/ 1/2 x) 1 (+ x (/ (fabs (- y x)) 2)) (/ (fabs (- y x)) 2) (fabs (- y x)) (- y x) (* (- 1 (/ x y)) y) (- 1 (/ x y)) (/ x y) 2)

rewrite127.0ms (5.8%)

Memory

-21.3MiB live, 165.2MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	175	1138
0	197	1063
1	669	1048
0	4404	1045

Stop Event

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

Counts

92 → 302

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

Outputs
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x))) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (.f64 x (*.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)))))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64))))) (neg.f64 (-.f64 x (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) (-.f64 (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) x) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 x x) (.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (-.f64 x (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (.f64 (neg.f64 x) x)) (-.f64 (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) x))
(/.f64 (fma.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) (-.f64 (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) x) (*.f64 x x)))
(/.f64 (fma.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)))) (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (-.f64 x (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (-.f64 (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) x)))
(-.f64 x (*.f64 (neg.f64 (fabs.f64 (-.f64 y x))) #s(literal 1/2 binary64)))
(-.f64 x (*.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) (-.f64 (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) x) (.f64 x x))) (/.f64 (.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) (-.f64 (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) x) (*.f64 x x))))
(+.f64 (/.f64 (.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 x (-.f64 x (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64))))))
(+.f64 (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) x)
(+.f64 x (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
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eval58.0ms (2.7%)

Memory: 25.4MiB live, 71.1MiB allocated; 4ms collecting garbage
Compiler: Compiled 9 204 to 1 470 computations (84% saved)

prune31.0ms (1.4%)

Memory

-14.4MiB live, 31.3MiB allocated; 3ms collecting garbage

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	366	11	377
Fresh	2	0	2
Picked	3	2	5
Done	0	0	0
Total	371	13	384

Accuracy

100.0%

Counts

384 → 13

Alt Table

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Status	Accuracy	Program
	60.4%	(+.f64 x (/.f64 (fabs.f64 #s(approx (- y x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))))) #s(literal 2 binary64)))
	72.1%	(+.f64 x (/.f64 (fabs.f64 #s(approx (- y x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) y) (-.f64 (/.f64 x y) #s(literal -1 binary64))))) #s(literal 2 binary64)))
	65.5%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (fabs.f64 (-.f64 y x)) x) x))
▶	85.7%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 y x))) x x))
▶	46.6%	#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))
▶	86.2%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) x))
	58.5%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))) x))
	51.6%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) x)) x))
	64.9%	#s(approx (+ x (/ (fabs (- y x)) 2)) (/.f64 (.f64 (fma.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 y x)) 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 y x))) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 y x)) #s(literal -1 binary64)) #s(literal 1 binary64))))
▶	50.4%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y)))))
▶	7.0%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) x))))
✓	11.4%	#s(approx (+ x (/ (fabs (- y x)) 2)) x)

Compiler

Compiled 530 to 360 computations (32.1% saved)

series26.0ms (1.2%)

Memory

-2.7MiB live, 41.1MiB allocated; 5ms collecting garbage

Counts

31 → 105

Calls

Call 1

Inputs
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) x))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) x)
#s(literal 1/2 binary64)
(fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
#s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(-.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x y)
x
y
#s(literal 1 binary64)
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) x))))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) x)))
(fabs.f64 #s(approx (- x y) x))
#s(approx (- x y) x)
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y)))))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))))
(fabs.f64 #s(approx (- x y) (neg.f64 y)))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 y x))) x x))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 y x))) x x)
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 y x)))
(/.f64 #s(literal 1/2 binary64) x)
(fabs.f64 (-.f64 y x))
(-.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))
(-.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 (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 y) 1) y) #s(hole binary64 (* -1 y)))
#s(approx (* (- (/ x y) 1) y) #s(hole binary64 (+ x (* -1 y))))
#s(approx (- (/ x y) 1) #s(hole binary64 -1))
#s(approx (- (/ x y) 1) #s(hole binary64 (- (/ x y) 1)))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (* 1/2 (fabs (- x y))) #s(hole binary64 (* 1/2 (fabs (- x y)))))
#s(approx (+ (* (* (/ 1/2 x) (fabs (- y x))) x) x) #s(hole binary64 (* 1/2 (fabs (- y x)))))
#s(approx (+ (* (* (/ 1/2 x) (fabs (- y x))) x) x) #s(hole binary64 (+ x (* 1/2 (fabs (- y x))))))
#s(approx (* (/ 1/2 x) (fabs (- y x))) #s(hole binary64 (* 1/2 (/ (fabs (- y x)) x))))
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 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 (+ (* 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)) (sqrt (- x y))) #s(hole binary64 (* -1 y)))
#s(approx (* (sqrt (- x y)) (sqrt (- x y))) #s(hole binary64 (- x y)))
#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))
#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))
#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))
#s(approx (- x y) #s(hole binary64 (* x (+ 1 (* -1 (/ y x))))))
#s(approx (* (- (/ x y) 1) y) #s(hole binary64 x))
#s(approx (* (- (/ x y) 1) y) #s(hole binary64 (* x (+ 1 (* -1 (/ y x))))))
#s(approx (- (/ x y) 1) #s(hole binary64 (/ x y)))
#s(approx (- (/ x y) 1) #s(hole binary64 (* x (- (/ 1 y) (/ 1 x)))))
#s(approx (+ (* (* (/ 1/2 x) (fabs (- y x))) x) x) #s(hole binary64 x))
#s(approx (+ (* (* (/ 1/2 x) (fabs (- y x))) x) x) #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 (+ (* 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)) (sqrt (- x y))) #s(hole binary64 x))
#s(approx (* (sqrt (- x y)) (sqrt (- x y))) #s(hole binary64 (* x (+ 1 (* -1 (/ 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 (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 (* (- (/ x y) 1) y) #s(hole binary64 (* -1 (* x (- (/ y x) 1)))))
#s(approx (- (/ x y) 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) (/ 1 y))))))
#s(approx (* 1/2 (fabs (- x y))) #s(hole binary64 (* 1/2 (fabs (neg (+ y (* -1 x)))))))
#s(approx (+ (* (* (/ 1/2 x) (fabs (- y x))) x) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))))
#s(approx (* (/ 1/2 x) (fabs (- y x))) #s(hole binary64 (* 1/2 (/ (fabs (+ y (* -1 x))) 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 (+ (* 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 (- (/ x y) 1) #s(hole binary64 (/ (+ x (* -1 y)) y)))
#s(approx y #s(hole binary64 y))
#s(approx (neg y) #s(hole binary64 (* -1 y)))
#s(approx (- y x) #s(hole binary64 (- y x)))
#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)) (sqrt (- x y))) #s(hole binary64 (+ x (* -1 y))))
#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 (* (- (/ x y) 1) y) #s(hole binary64 (* y (- (/ x y) 1))))
#s(approx (- y x) #s(hole binary64 (* y (+ 1 (* -1 (/ x y))))))
#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)) (sqrt (- x y))) #s(hole binary64 (* y (- (/ x y) 1))))
#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 (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 (* (- (/ x y) 1) 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 (+ (* (* (/ 1/2 x) (fabs (- y x))) x) x) #s(hole binary64 (+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))))
#s(approx (* (/ 1/2 x) (fabs (- y x))) #s(hole binary64 (* 1/2 (/ (fabs (neg (+ x (* -1 y)))) x))))
#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 (+ (* 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)) (sqrt (- x y))) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ 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
8.0ms	x	@	-inf	((+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (fabs (- x y))) x) 1/2 (fabs (- x y)) (- x y) (* (- (/ x y) 1) y) (- (/ x y) 1) (/ x y) x y 1 (+ x (/ (fabs (- y x)) 2)) (* 1/2 (fabs (- x y))) (fabs (- x y)) (- x y) (+ x (/ (fabs (- y x)) 2)) (* 1/2 (fabs (- x y))) (fabs (- x y)) (- x y) (neg y) (+ x (/ (fabs (- y x)) 2)) (+ (* (* (/ 1/2 x) (fabs (- y x))) x) x) (* (/ 1/2 x) (fabs (- y x))) (/ 1/2 x) (fabs (- y 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)) (- x y))
5.0ms	x	@	0	((+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (fabs (- x y))) x) 1/2 (fabs (- x y)) (- x y) (* (- (/ x y) 1) y) (- (/ x y) 1) (/ x y) x y 1 (+ x (/ (fabs (- y x)) 2)) (* 1/2 (fabs (- x y))) (fabs (- x y)) (- x y) (+ x (/ (fabs (- y x)) 2)) (* 1/2 (fabs (- x y))) (fabs (- x y)) (- x y) (neg y) (+ x (/ (fabs (- y x)) 2)) (+ (* (* (/ 1/2 x) (fabs (- y x))) x) x) (* (/ 1/2 x) (fabs (- y x))) (/ 1/2 x) (fabs (- y 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)) (- x y))
3.0ms	y	@	-inf	((+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (fabs (- x y))) x) 1/2 (fabs (- x y)) (- x y) (* (- (/ x y) 1) y) (- (/ x y) 1) (/ x y) x y 1 (+ x (/ (fabs (- y x)) 2)) (* 1/2 (fabs (- x y))) (fabs (- x y)) (- x y) (+ x (/ (fabs (- y x)) 2)) (* 1/2 (fabs (- x y))) (fabs (- x y)) (- x y) (neg y) (+ x (/ (fabs (- y x)) 2)) (+ (* (* (/ 1/2 x) (fabs (- y x))) x) x) (* (/ 1/2 x) (fabs (- y x))) (/ 1/2 x) (fabs (- y 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)) (- x y))
3.0ms	y	@	inf	((+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (fabs (- x y))) x) 1/2 (fabs (- x y)) (- x y) (* (- (/ x y) 1) y) (- (/ x y) 1) (/ x y) x y 1 (+ x (/ (fabs (- y x)) 2)) (* 1/2 (fabs (- x y))) (fabs (- x y)) (- x y) (+ x (/ (fabs (- y x)) 2)) (* 1/2 (fabs (- x y))) (fabs (- x y)) (- x y) (neg y) (+ x (/ (fabs (- y x)) 2)) (+ (* (* (/ 1/2 x) (fabs (- y x))) x) x) (* (/ 1/2 x) (fabs (- y x))) (/ 1/2 x) (fabs (- y 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)) (- x y))
3.0ms	x	@	inf	((+ x (/ (fabs (- y x)) 2)) (+ (* 1/2 (fabs (- x y))) x) 1/2 (fabs (- x y)) (- x y) (* (- (/ x y) 1) y) (- (/ x y) 1) (/ x y) x y 1 (+ x (/ (fabs (- y x)) 2)) (* 1/2 (fabs (- x y))) (fabs (- x y)) (- x y) (+ x (/ (fabs (- y x)) 2)) (* 1/2 (fabs (- x y))) (fabs (- x y)) (- x y) (neg y) (+ x (/ (fabs (- y x)) 2)) (+ (* (* (/ 1/2 x) (fabs (- y x))) x) x) (* (/ 1/2 x) (fabs (- y x))) (/ 1/2 x) (fabs (- y 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)) (- x y))

rewrite81.0ms (3.7%)

Memory

10.0MiB live, 108.6MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	403	2288
0	432	1874
0	1995	1833

Stop Event

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

Counts

136 → 220

Calls

Call 1

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

eval24.0ms (1.1%)

Memory: 6.0MiB live, 52.5MiB allocated; 3ms collecting garbage
Compiler: Compiled 6 907 to 944 computations (86.3% saved)

prune28.0ms (1.3%)

Memory

-30.7MiB live, 16.0MiB allocated; 2ms collecting garbage

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	228	5	233
Fresh	5	1	6
Picked	2	3	5
Done	0	2	2
Total	235	11	246

Accuracy

100.0%

Counts

246 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.6%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x))
✓	99.9%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x))
✓	86.2%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) x))
▶	58.5%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))) x))
▶	52.1%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)))
✓	50.4%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y)))))
✓	7.0%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) x))))
	51.7%	#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))))
▶	30.4%	#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)))
▶	23.7%	#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)))
✓	11.4%	#s(approx (+ x (/ (fabs (- y x)) 2)) x)

Compiler

Compiled 343 to 242 computations (29.4% saved)

series9.0ms (0.4%)

Memory

10.1MiB live, 10.1MiB allocated; 0ms collecting garbage

Counts

21 → 54

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite55.0ms (2.5%)

Memory

-7.6MiB live, 46.4MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	189	1010
0	197	816
0	903	802

Stop Event

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

Counts

75 → 116

Calls

Call 1

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

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

eval12.0ms (0.6%)

Memory: 25.0MiB live, 25.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 879 to 404 computations (86% saved)

prune16.0ms (0.7%)

Memory

-19.1MiB live, 26.2MiB allocated; 5ms collecting garbage

Pruning

12 alts after pruning (2 fresh and 10 done)

	Pruned	Kept	Total
New	128	2	130
Fresh	1	0	1
Picked	0	5	5
Done	0	5	5
Total	129	12	141

Accuracy

100.0%

Counts

141 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.6%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x))
✓	99.9%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x))
✓	86.2%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) x))
✓	58.5%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))) x))
✓	52.1%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)))
✓	50.4%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y)))))
✓	7.0%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) x))))
	51.7%	#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (- x y) 1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))))
✓	30.4%	#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)))
✓	23.7%	#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)))
	31.8%	#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- x y) 1/2) (*.f64 #s(literal 1/2 binary64) x)))
✓	11.4%	#s(approx (+ x (/ (fabs (- y x)) 2)) x)

Compiler

Compiled 755 to 301 computations (60.1% saved)

regimes26.0ms (1.2%)

Memory

1.4MiB live, 44.8MiB allocated; 5ms collecting garbage

Counts

26 → 1

Calls

Call 1

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

10.0ms	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
7.0ms	y
7.0ms	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 10 to 11 computations (-10% saved)

regimes13.0ms (0.6%)

Memory

28.9MiB live, 28.9MiB allocated; 0ms collecting garbage

Counts

13 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
84.3%	4	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`
82.1%	3	`x`
84.1%	3	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes7.0ms (0.3%)

Memory

-36.1MiB live, 9.9MiB allocated; 4ms collecting garbage

Counts

11 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
84.1%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0.2%)

Memory

9.3MiB live, 9.3MiB allocated; 0ms collecting garbage

Counts

10 → 3

Calls

Call 1

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

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
83.5%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0.2%)

Memory

8.3MiB live, 8.3MiB allocated; 0ms collecting garbage

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
83.3%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0.3%)

Memory

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

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
75.7%	2	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`
82.1%	3	`y`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes11.0ms (0.5%)

Memory

-38.5MiB live, 18.6MiB allocated; 5ms collecting garbage

Counts

7 → 2

Calls

Call 1

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

Calls

3 calls:

5.0ms	x
3.0ms	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
3.0ms	y

Results

Accuracy	Segments	Branch
57.2%	4	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`
67.6%	2	`x`
65.3%	2	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes5.0ms (0.2%)

Memory

10.2MiB live, 10.2MiB allocated; 0ms collecting garbage

Counts

5 → 3

Calls

Call 1

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

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
45.8%	3	`y`
62.8%	3	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes4.0ms (0.2%)

Memory

7.1MiB live, 7.1MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

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

#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:

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

Results

Accuracy	Segments	Branch
48.7%	2	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`
46.5%	3	`x`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes4.0ms (0.2%)

Memory

9.3MiB live, 9.3MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (+ x (/ (fabs (- y x)) 2)) x)
#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
31.8%	1	`y`
31.8%	1	`x`
31.8%	1	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes3.0ms (0.2%)

Memory

9.7MiB live, 9.7MiB 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)) x)

Outputs
#s(approx (+ x (/ (fabs (- y x)) 2)) 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
11.4%	1	`x`
11.4%	1	`y`
11.4%	1	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch16.0ms (0.7%)

Memory

-24.3MiB live, 22.5MiB allocated; 2ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	1484418242171524.5	5668224866608196.0
8.0ms	-4.244822527584902e-137	-1.41939312880429e-137

Samples

7.0ms	154×	0	valid
0.0ms	1×	3	valid
0.0ms	4×	1	valid
0.0ms	1×	2	valid

Compiler

Compiled 431 to 327 computations (24.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-add!: 1.0ms (28.6% of total)

ival-sub!: 1.0ms (28.6% of total)

ival-fabs: 1.0ms (28.6% of total)

ival-div!: 1.0ms (28.6% of total)

adjust: 0.0ms (0% of total)

bsearch2.0ms (0.1%)

Memory

2.5MiB live, 2.5MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1484418242171524.5	5668224866608196.0
1.0ms	-4.244822527584902e-137	-1.41939312880429e-137

Compiler

Compiled 361 to 287 computations (20.5% saved)

bsearch2.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1484418242171524.5	5668224866608196.0
1.0ms	-4.244822527584902e-137	-1.41939312880429e-137

Compiler

Compiled 341 to 277 computations (18.8% saved)

bsearch4.0ms (0.2%)

Memory

6.9MiB live, 6.9MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
3.0ms	1484418242171524.5	5668224866608196.0
1.0ms	-4.244822527584902e-137	-1.41939312880429e-137

Samples

1.0ms	31×	0	valid
0.0ms	1×	2	valid

Compiler

Compiled 356 to 287 computations (19.4% 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)

bsearch10.0ms (0.5%)

Memory

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

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1484418242171524.5	5668224866608196.0
8.0ms	-8.953588386958354e-222	-1.228499900460468e-222

Samples

3.0ms	90×	0	valid
1.0ms	1×	3	valid
0.0ms	4×	2	valid
0.0ms	1×	1	valid

Compiler

Compiled 383 to 313 computations (18.3% saved)

Precisions

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

ival-sub!: 1.0ms (41.6% of total)

ival-fabs: 1.0ms (41.6% of total)

ival-div!: 1.0ms (41.6% of total)

adjust: 0.0ms (0% of total)

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

bsearch15.0ms (0.7%)

Memory

-23.3MiB live, 23.5MiB allocated; 4ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	2.3843155761385133e-153	7.660018267720963e-145

Samples

6.0ms	142×	0	valid
0.0ms	2×	1	valid

Compiler

Compiled 371 to 282 computations (24% saved)

Precisions

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

ival-fabs: 1.0ms (40.4% of total)

ival-div!: 1.0ms (40.4% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch23.0ms (1%)

Memory

-15.2MiB live, 31.6MiB allocated; 2ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	2.3843155761385133e-153	7.660018267720963e-145
9.0ms	-5.144938152570219e-52	-1.3065108967016915e-53

Samples

9.0ms	230×	0	valid
1.0ms	10×	1	valid

Compiler

Compiled 787 to 567 computations (28% saved)

Precisions

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

ival-fabs: 1.0ms (22.4% of total)

ival-add!: 1.0ms (22.4% of total)

ival-sub!: 1.0ms (22.4% of total)

ival-div!: 1.0ms (22.4% 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	2.7422074219998786e-245	4.476794193479177e-222

Compiler

Compiled 11 to 12 computations (-9.1% saved)

derivations126.0ms (5.7%)

Memory

39.1MiB live, 88.3MiB allocated; 10ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 528 to 86 computations (83.7% saved)

preprocess96.0ms (4.4%)

Memory: -31.7MiB live, 58.3MiB allocated; 18ms collecting garbage
Compiler: Compiled 1 072 to 186 computations (82.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.0s (47.2%)

explain89.0ms (4.1%)

preprocess89.0ms (4%)

series5.0ms (0.2%)

rewrite80.0ms (3.6%)

eval7.0ms (0.3%)

prune25.0ms (1.2%)

series18.0ms (0.8%)

rewrite127.0ms (5.8%)

eval58.0ms (2.7%)

prune31.0ms (1.4%)

series26.0ms (1.2%)

rewrite81.0ms (3.7%)

eval24.0ms (1.1%)

prune28.0ms (1.3%)

series9.0ms (0.4%)

rewrite55.0ms (2.5%)

eval12.0ms (0.6%)

prune16.0ms (0.7%)

regimes26.0ms (1.2%)

regimes13.0ms (0.6%)

regimes7.0ms (0.3%)

regimes4.0ms (0.2%)

regimes4.0ms (0.2%)

regimes6.0ms (0.3%)

regimes11.0ms (0.5%)

regimes5.0ms (0.2%)

regimes4.0ms (0.2%)

regimes4.0ms (0.2%)

regimes3.0ms (0.2%)

bsearch16.0ms (0.7%)

bsearch2.0ms (0.1%)

bsearch2.0ms (0.1%)

bsearch4.0ms (0.2%)

bsearch10.0ms (0.5%)

bsearch15.0ms (0.7%)

bsearch23.0ms (1%)

bsearch0.0ms (0%)

derivations126.0ms (5.7%)

preprocess96.0ms (4.4%)

end0.0ms (0%)

Profiling