Metrics for Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A

start0.0ms (0%)

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

analyze58.0ms (1.2%)

Memory

11.2MiB live, 11.2MiB 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
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
25%	25%	74.9%	0.1%	0%	0%	0%	3
28.6%	25%	62.4%	0.1%	0%	12.5%	0%	4
46.2%	37.5%	43.7%	0.1%	0%	18.7%	0%	5
52.2%	37.5%	34.3%	0.1%	0%	28.1%	0%	6
65.1%	43.7%	23.4%	0.1%	0%	32.8%	0%	7
70.9%	43.7%	18%	0.1%	0%	38.2%	0%	8
79.5%	46.8%	12.1%	0.1%	0%	41%	0%	9
83.6%	46.8%	9.2%	0.1%	0%	43.9%	0%	10
88.7%	48.4%	6.1%	0.1%	0%	45.4%	0%	11
91.3%	48.4%	4.6%	0.1%	0%	46.9%	0%	12

Compiler

Compiled 6 to 6 computations (0% saved)

sample729.0ms (15.2%)

Memory

5.9MiB live, 350.8MiB allocated; 136ms collecting garbage

Samples

507.0ms	8 256×	0	valid
21.0ms	576×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 216.0ms

ival-sqrt: 180.0ms (83.4% of total)

ival-add!: 34.0ms (15.8% of total)

adjust: 2.0ms (0.9% of total)

Bogosity

preprocess88.0ms (1.8%)

Memory

-26.2MiB live, 68.6MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	30
1	31	26
2	59	26
3	141	26
4	343	26
5	885	26
6	4312	26

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(sqrt.f64 (+.f64 x y))

Symmetry

(sort x y)

Compiler

Compiled 8 to 8 computations (0% saved)

series175.0ms (3.7%)

Memory

18.8MiB live, 109.0MiB allocated; 38ms collecting garbage

Counts

4 → 31

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 x y))
(+.f64 x y)
x
y

Outputs
#s(approx (sqrt (+ x y)) (sqrt.f64 y))
#s(approx (sqrt (+ x y)) (+.f64 (sqrt.f64 y) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 y)))))
#s(approx (sqrt (+ x y)) (+.f64 (sqrt.f64 y) (.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 (sqrt.f64 y) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))))
#s(approx (sqrt (+ x y)) (+.f64 (sqrt.f64 y) (.f64 x (fma.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 x (pow.f64 (sqrt.f64 y) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 y) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))))
#s(approx (+ x y) y)
#s(approx (+ x y) (+.f64 x y))
#s(approx x x)
#s(approx (sqrt (+ x y)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt (+ x y)) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))
#s(approx (sqrt (+ x y)) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
#s(approx (sqrt (+ x y)) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))))
#s(approx (+ x y) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))))
#s(approx (sqrt (+ x y)) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt (+ x y)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
#s(approx (sqrt (+ x y)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))))
#s(approx (sqrt (+ x y)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))))
#s(approx (+ x y) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
#s(approx (sqrt (+ x y)) (sqrt.f64 x))
#s(approx (sqrt (+ x y)) (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 x)))))
#s(approx (sqrt (+ x y)) (+.f64 (sqrt.f64 x) (.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (sqrt (+ x y)) (+.f64 (sqrt.f64 x) (.f64 y (fma.f64 y (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 y (pow.f64 (sqrt.f64 x) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (sqrt (+ x y)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
#s(approx (sqrt (+ x y)) (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))
#s(approx (sqrt (+ x y)) (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))
#s(approx (sqrt (+ x y)) (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 5 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))))
#s(approx (+ x y) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
#s(approx (sqrt (+ x y)) (.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
#s(approx (sqrt (+ x y)) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1/2 binary64) (/.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))
#s(approx (sqrt (+ x y)) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))))
#s(approx (sqrt (+ x y)) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 5 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))))
#s(approx (+ x y) (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))))

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((sqrt (+ x y)) (+ x y) x y)
1.0ms	x	@	inf	((sqrt (+ x y)) (+ x y) x y)
1.0ms	y	@	-inf	((sqrt (+ x y)) (+ x y) x y)
1.0ms	y	@	inf	((sqrt (+ x y)) (+ x y) x y)
1.0ms	x	@	0	((sqrt (+ x y)) (+ x y) x y)

rewrite1.6s (34.3%)

Memory

37.5MiB live, 703.1MiB allocated; 305ms collecting garbage

Counts

4 → 30

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 x y))
(+.f64 x y)
x
y

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

eval17.0ms (0.3%)

Memory: -37.9MiB live, 8.8MiB allocated; 5ms collecting garbage
Compiler: Compiled 551 to 228 computations (58.6% saved)

prune4.0ms (0.1%)

Memory

2.9MiB live, 2.9MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	3	58

Accuracy

100.0%

Counts

58 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sqrt.f64 (+.f64 x y))
▶	98.7%	(sqrt.f64 #s(approx (+ x y) y))
▶	3.3%	#s(approx (sqrt (+ x y)) (sqrt.f64 x))

Compiler

Compiled 15 to 15 computations (0% saved)

series198.0ms (4.1%)

Memory

23.2MiB live, 69.3MiB allocated; 4ms collecting garbage

Counts

6 → 31

Calls

Call 1

Inputs
#s(approx (sqrt (+ x y)) (sqrt.f64 x))
(sqrt.f64 x)
x
(sqrt.f64 #s(approx (+ x y) y))
#s(approx (+ x y) y)
y

Outputs
#s(approx (sqrt (+ x y)) (sqrt.f64 y))
#s(approx (sqrt (+ x y)) (+.f64 (sqrt.f64 y) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 y)))))
#s(approx (sqrt (+ x y)) (+.f64 (sqrt.f64 y) (.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 (sqrt.f64 y) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))))
#s(approx (sqrt (+ x y)) (+.f64 (sqrt.f64 y) (.f64 x (fma.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 x (pow.f64 (sqrt.f64 y) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 y) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx x x)
#s(approx (+ x y) y)
#s(approx (+ x y) (+.f64 x y))
#s(approx (sqrt (+ x y)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt (+ x y)) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))
#s(approx (sqrt (+ x y)) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
#s(approx (sqrt (+ x y)) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))))
#s(approx (+ x y) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))))
#s(approx (sqrt (+ x y)) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt (+ x y)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
#s(approx (sqrt (+ x y)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))))
#s(approx (sqrt (+ x y)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))))
#s(approx (+ x y) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
#s(approx (sqrt (+ x y)) (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 x)))))
#s(approx (sqrt (+ x y)) (+.f64 (sqrt.f64 x) (.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (sqrt (+ x y)) (+.f64 (sqrt.f64 x) (.f64 y (fma.f64 y (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 y (pow.f64 (sqrt.f64 x) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (sqrt (+ x y)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
#s(approx (sqrt (+ x y)) (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))
#s(approx (sqrt (+ x y)) (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))
#s(approx (sqrt (+ x y)) (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 5 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))))
#s(approx (+ x y) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
#s(approx (sqrt (+ x y)) (.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
#s(approx (sqrt (+ x y)) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1/2 binary64) (/.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))
#s(approx (sqrt (+ x y)) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))))
#s(approx (sqrt (+ x y)) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 5 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))))
#s(approx (+ x y) (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((sqrt (+ x y)) (sqrt x) x (sqrt (+ x y)) (+ x y) y)
1.0ms	x	@	inf	((sqrt (+ x y)) (sqrt x) x (sqrt (+ x y)) (+ x y) y)
1.0ms	y	@	-inf	((sqrt (+ x y)) (sqrt x) x (sqrt (+ x y)) (+ x y) y)
1.0ms	x	@	0	((sqrt (+ x y)) (sqrt x) x (sqrt (+ x y)) (+ x y) y)
1.0ms	y	@	inf	((sqrt (+ x y)) (sqrt x) x (sqrt (+ x y)) (+ x y) y)

rewrite1.8s (37.4%)

Memory

-23.0MiB live, 344.0MiB allocated; 229ms collecting garbage

Counts

6 → 28

Calls

Call 1

Inputs
#s(approx (sqrt (+ x y)) (sqrt.f64 x))
(sqrt.f64 x)
x
(sqrt.f64 #s(approx (+ x y) y))
#s(approx (+ x y) y)
y

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

eval7.0ms (0.1%)

Memory: 4.5MiB live, 4.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 533 to 243 computations (54.4% saved)

prune3.0ms (0.1%)

Memory

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

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	55	3	58

Accuracy

100.0%

Counts

58 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sqrt.f64 (+.f64 x y))
✓	98.7%	(sqrt.f64 #s(approx (+ x y) y))
✓	3.3%	#s(approx (sqrt (+ x y)) (sqrt.f64 x))

Compiler

Compiled 26 to 25 computations (3.8% saved)

regimes10.0ms (0.2%)

Memory

-38.9MiB live, 6.9MiB allocated; 2ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs
#s(approx (sqrt (+ x y)) (sqrt.f64 x))
(sqrt.f64 #s(approx (+ x y) y))
(sqrt.f64 (+.f64 x y))

Outputs
(sqrt.f64 (+.f64 x y))

Calls

4 calls:

4.0ms	(+.f64 x y)
2.0ms	y
2.0ms	(sqrt.f64 (+.f64 x y))
2.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`(+.f64 x y)`
100.0%	1	`(sqrt.f64 (+.f64 x y))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes7.0ms (0.2%)

Memory

6.2MiB live, 6.2MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (sqrt (+ x y)) (sqrt.f64 x))
(sqrt.f64 #s(approx (+ x y) y))

Outputs
(sqrt.f64 #s(approx (+ x y) y))

Calls

4 calls:

2.0ms	(+.f64 x y)
2.0ms	(sqrt.f64 (+.f64 x y))
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
98.7%	1	`(+.f64 x y)`
98.7%	1	`(sqrt.f64 (+.f64 x y))`
98.7%	1	`x`
98.7%	1	`y`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes11.0ms (0.2%)

Memory

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

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (sqrt (+ x y)) (sqrt.f64 x))

Outputs
#s(approx (sqrt (+ x y)) (sqrt.f64 x))

Calls

4 calls:

2.0ms	(+.f64 x y)
2.0ms	(sqrt.f64 (+.f64 x y))
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
3.3%	1	`(+.f64 x y)`
3.3%	1	`(sqrt.f64 (+.f64 x y))`
3.3%	1	`x`
3.3%	1	`y`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

derivations1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 11 to 10 computations (9.1% saved)

preprocess46.0ms (1%)

Memory: 22.9MiB live, 22.9MiB allocated; 0ms collecting garbage
Remove: (sort x y)
Compiler: Compiled 45 to 44 computations (2.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze58.0ms (1.2%)

sample729.0ms (15.2%)

preprocess88.0ms (1.8%)

series175.0ms (3.7%)

rewrite1.6s (34.3%)

eval17.0ms (0.3%)

prune4.0ms (0.1%)

series198.0ms (4.1%)

rewrite1.8s (37.4%)

eval7.0ms (0.1%)

prune3.0ms (0.1%)

regimes10.0ms (0.2%)

regimes7.0ms (0.2%)

regimes11.0ms (0.2%)

derivations1.0ms (0%)

preprocess46.0ms (1%)

end0.0ms (0%)

Profiling