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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.1MiB live, 0.1MiB 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)

sample945.0ms (3.3%)

Memory

41.9MiB live, 615.0MiB allocated; 103ms collecting garbage

Samples

525.0ms	7 921×	0	valid
67.0ms	70×	3	valid
16.0ms	111×	2	valid
15.0ms	154×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 298.0ms

ival-sub!: 118.0ms (39.7% of total)

ival-fabs: 71.0ms (23.9% of total)

ival-div!: 62.0ms (20.8% of total)

ival-add!: 28.0ms (9.4% of total)

adjust: 19.0ms (6.4% of total)

Bogosity

preprocess39.0ms (0.1%)

Memory

-8.7MiB live, 37.7MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Compiler

Compiled 14 to 14 computations (0% saved)

series5.0ms (0%)

Memory

6.2MiB live, 6.2MiB 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	x	@	inf	((+ x (/ (fabs (- y x)) 2)) x (/ (fabs (- y x)) 2) (fabs (- y x)) (- y x) y 2)
1.0ms	y	@	-inf	((+ x (/ (fabs (- y x)) 2)) x (/ (fabs (- y x)) 2) (fabs (- y x)) (- y x) y 2)
1.0ms	y	@	inf	((+ x (/ (fabs (- y x)) 2)) x (/ (fabs (- y x)) 2) (fabs (- y x)) (- y x) y 2)
1.0ms	x	@	0	((+ x (/ (fabs (- y x)) 2)) x (/ (fabs (- y x)) 2) (fabs (- y x)) (- y x) y 2)

rewrite1.1s (3.8%)

Memory

-6.0MiB live, 1 042.6MiB allocated; 177ms collecting garbage

Counts

29 → 23

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

eval2.0ms (0%)

Memory: 3.2MiB live, 3.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 104 to 54 computations (48.1% saved)

prune4.0ms (0%)

Memory

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

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	14	9	23
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	15	9	24

Accuracy

99.9%

Counts

24 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	5.7%	(-.f64 y x)
	15.1%	(fabs.f64 (-.f64 x y))
▶	54.5%	#s(approx (/ (fabs (- x y)) 2) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))))
	2.2%	#s(approx (- y x) (neg.f64 x))
▶	6.9%	#s(approx (- y x) y)
	87.3%	#s(approx (+ x (/ (fabs (- x y)) 2)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (fabs.f64 (-.f64 x y)) x) x))
▶	99.9%	#s(approx (+ x (/ (fabs (- x y)) 2)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x))
	11.3%	#s(approx (+ x (/ (fabs (- x y)) 2)) x)
▶	4.6%	#s(literal 2 binary64)

Compiler

Compiled 124 to 128 computations (-3.2% saved)

series5.0ms (0%)

Memory

7.2MiB live, 7.2MiB allocated; 0ms collecting garbage

Counts

12 → 39

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite1.1s (4%)

Memory

16.4MiB live, 1 197.8MiB allocated; 274ms collecting garbage

Counts

51 → 38

Calls

Call 1

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

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

eval6.0ms (0%)

Memory: -35.5MiB live, 11.0MiB allocated; 4ms collecting garbage
Compiler: Compiled 178 to 68 computations (61.8% saved)

prune4.0ms (0%)

Memory

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

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	29	5	34
Fresh	4	0	4
Picked	0	5	5
Done	0	0	0
Total	33	10	43

Accuracy

99.9%

Counts

43 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	5.7%	(-.f64 y x)
▶	14.4%	(-.f64 x y)
✓	54.5%	#s(approx (/ (fabs (- x y)) 2) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))))
✓	6.9%	#s(approx (- y x) y)
▶	6.5%	#s(approx (- x y) (neg.f64 y))
▶	11.3%	#s(approx (- x y) x)
▶	87.3%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (fabs.f64 (-.f64 y x)) x) x))
✓	99.9%	#s(approx (+ x (/ (fabs (- x y)) 2)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x))
✓	4.6%	#s(literal 2 binary64)
▶	4.6%	#s(literal 1/2 binary64)

Compiler

Compiled 85 to 91 computations (-7.1% saved)

series10.0ms (0%)

Memory

-20.3MiB live, 26.3MiB allocated; 3ms collecting garbage

Counts

13 → 38

Calls

Call 1

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

Calls

6 calls:

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

rewrite1.1s (4%)

Memory

45.8MiB live, 764.9MiB allocated; 104ms collecting garbage

Counts

51 → 40

Calls

Call 1

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

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

eval8.0ms (0%)

Memory: -34.1MiB live, 8.4MiB allocated; 8ms collecting garbage
Compiler: Compiled 181 to 73 computations (59.7% saved)

prune4.0ms (0%)

Memory

8.9MiB live, 8.9MiB allocated; 0ms collecting garbage

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	32	1	33
Fresh	0	0	0
Picked	0	5	5
Done	0	5	5
Total	32	11	43

Accuracy

99.9%

Counts

43 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	5.7%	(-.f64 y x)
✓	14.4%	(-.f64 x y)
▶	28.2%	(*.f64 #s(literal 1/2 binary64) x)
✓	54.5%	#s(approx (/ (fabs (- x y)) 2) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))))
✓	6.9%	#s(approx (- y x) y)
✓	6.5%	#s(approx (- x y) (neg.f64 y))
✓	11.3%	#s(approx (- x y) x)
✓	87.3%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (fabs.f64 (-.f64 y x)) x) x))
✓	99.9%	#s(approx (+ x (/ (fabs (- x y)) 2)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x))
✓	4.6%	#s(literal 2 binary64)
✓	4.6%	#s(literal 1/2 binary64)

Compiler

Compiled 61 to 66 computations (-8.2% saved)

series1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

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

Outputs
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx x #s(hole binary64 x))

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	((* 1/2 x) 1/2 x)
0.0ms	x	@	-inf	((* 1/2 x) 1/2 x)
0.0ms	x	@	0	((* 1/2 x) 1/2 x)
0.0ms	y	@	0	((* 1/2 x) 1/2 x)
0.0ms	y	@	inf	((* 1/2 x) 1/2 x)

rewrite23.6s (83.1%)

Memory

102.4MiB live, 11 240.9MiB allocated; 3.0s collecting garbage

Counts

5 → 5

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx x #s(hole binary64 x))

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 7 to 8 computations (-14.3% saved)

prune5.0ms (0%)

Memory

4.7MiB live, 4.7MiB allocated; 0ms collecting garbage

Pruning

11 alts after pruning (0 fresh and 11 done)

	Pruned	Kept	Total
New	3	0	3
Fresh	0	0	0
Picked	0	1	1
Done	0	10	10
Total	3	11	14

Accuracy

99.9%

Counts

14 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	5.7%	(-.f64 y x)
✓	14.4%	(-.f64 x y)
✓	28.2%	(*.f64 #s(literal 1/2 binary64) x)
✓	54.5%	#s(approx (/ (fabs (- x y)) 2) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))))
✓	6.9%	#s(approx (- y x) y)
✓	6.5%	#s(approx (- x y) (neg.f64 y))
✓	11.3%	#s(approx (- x y) x)
✓	87.3%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (fabs.f64 (-.f64 y x)) x) x))
✓	99.9%	#s(approx (+ x (/ (fabs (- x y)) 2)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x))
✓	4.6%	#s(literal 2 binary64)
✓	4.6%	#s(literal 1/2 binary64)

Compiler

Compiled 125 to 104 computations (16.8% saved)

regimes17.0ms (0.1%)

Memory

15.8MiB live, 15.8MiB allocated; 0ms collecting garbage

Counts

16 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes51.0ms (0.2%)

Memory

-23.4MiB live, 24.0MiB allocated; 8ms collecting garbage

Counts

12 → 2

Calls

Call 1

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

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

Calls

3 calls:

42.0ms	x
4.0ms	y
4.0ms	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
76.1%	2	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`
67.6%	2	`x`
64.4%	3	`y`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes65.0ms (0.2%)

Memory

17.7MiB live, 17.7MiB allocated; 0ms collecting garbage

Counts

11 → 2

Calls

Call 1

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

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

Calls

3 calls:

54.0ms	x
6.0ms	y
4.0ms	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
29.9%	2	`y`
33.2%	2	`x`
36.6%	2	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes16.0ms (0.1%)

Memory

-29.5MiB live, 14.1MiB allocated; 6ms collecting garbage

Counts

10 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
30.3%	2	`x`
32.0%	2	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`

Compiler

Compiled 8 to 9 computations (-12.5% saved)

regimes10.0ms (0%)

Memory

13.7MiB live, 13.7MiB allocated; 0ms collecting garbage

Counts

9 → 2

Calls

Call 1

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

Outputs
(-.f64 x y)
#s(approx (- y x) y)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
17.5%	2	`y`
14.4%	1	`x`
14.4%	1	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes9.0ms (0%)

Memory

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

Counts

7 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
11.3%	1	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`
11.3%	1	`x`
15.7%	3	`y`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes3.0ms (0%)

Memory

4.2MiB live, 4.2MiB allocated; 0ms collecting garbage

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
13.9%	2	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0%)

Memory

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

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
11.3%	1	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`
11.3%	1	`y`

Compiler

Compiled 8 to 9 computations (-12.5% saved)

regimes5.0ms (0%)

Memory

8.5MiB live, 8.5MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 2 binary64)

Outputs
#s(literal 1/2 binary64)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
4.6%	1	`x`
4.6%	1	`y`
4.6%	1	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-5.449655748064137e-294	1.6598608649690896e-275

Compiler

Compiled 10 to 12 computations (-20% saved)

bsearch1.0ms (0%)

Memory

-47.2MiB live, 0.4MiB allocated; 1ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-5.449655748064137e-294	1.6598608649690896e-275

Compiler

Compiled 10 to 12 computations (-20% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.6598608649690896e-275	9.880719353823746e-239

Compiler

Compiled 10 to 12 computations (-20% saved)

bsearch11.0ms (0%)

Memory

25.9MiB live, 25.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	6.281840148943121e-44	2.8576105911056596e-41

Samples

5.0ms	126×	0	valid
0.0ms	2×	2	valid

Compiler

Compiled 67 to 84 computations (-25.4% saved)

Precisions

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

ival-fabs: 1.0ms (37.6% of total)

ival-div!: 1.0ms (37.6% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch31.0ms (0.1%)

Memory

2.0MiB live, 101.4MiB allocated; 12ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	21160.30752226572	1.4947814033992142e+22
9.0ms	-0.02360645086291443	-3.0050069262146273e-5

Samples

18.0ms	280×	0	valid
0.0ms	4×	2	valid
0.0ms	4×	1	valid

Compiler

Compiled 235 to 272 computations (-15.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-fabs: 7.0ms (55.7% of total)

ival-sub!: 3.0ms (23.9% of total)

ival-add!: 1.0ms (8% of total)

ival-div!: 1.0ms (8% of total)

adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	21160.30752226572	1.4947814033992142e+22

Compiler

Compiled 131 to 152 computations (-16% saved)

derivations2.0ms (0%)

Memory

6.3MiB live, 6.3MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 59 to 41 computations (30.5% saved)

preprocess190.0ms (0.7%)

Memory: -19.4MiB live, 124.8MiB allocated; 19ms collecting garbage
Compiler: Compiled 66 to 48 computations (27.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample945.0ms (3.3%)

preprocess39.0ms (0.1%)

series5.0ms (0%)

rewrite1.1s (3.8%)

eval2.0ms (0%)

prune4.0ms (0%)

series5.0ms (0%)

rewrite1.1s (4%)

eval6.0ms (0%)

prune4.0ms (0%)

series10.0ms (0%)

rewrite1.1s (4%)

eval8.0ms (0%)

prune4.0ms (0%)

series1.0ms (0%)

rewrite23.6s (83.1%)

eval0.0ms (0%)

prune5.0ms (0%)

regimes17.0ms (0.1%)

regimes51.0ms (0.2%)

regimes65.0ms (0.2%)

regimes16.0ms (0.1%)

regimes10.0ms (0%)

regimes9.0ms (0%)

regimes3.0ms (0%)

regimes5.0ms (0%)

regimes5.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch11.0ms (0%)

bsearch31.0ms (0.1%)

bsearch1.0ms (0%)

derivations2.0ms (0%)

preprocess190.0ms (0.7%)

end0.0ms (0%)

Profiling