Metrics for Graphics.Rasterific.Linear:$cquadrance from Rasterific-0.6.1

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB 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
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample664.0ms (11.6%)

Memory

-25.6MiB live, 173.7MiB allocated; 89ms collecting garbage

Samples

473.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 104.0ms

ival-mult!: 86.0ms (82.4% of total)

ival-add!: 17.0ms (16.3% of total)

adjust: 1.0ms (1% of total)

Bogosity

preprocess153.0ms (2.7%)

Memory

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	44
1	50	44
2	144	44
3	189	44
4	406	44
5	2058	44
6	4972	44

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Symmetry

(abs x)

(abs y)

(sort x y)

Compiler

Compiled 10 to 10 computations (0% saved)

series193.0ms (3.4%)

Memory

28.8MiB live, 28.8MiB allocated; 0ms collecting garbage

Counts

5 → 7

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite2.4s (41.1%)

Memory

-28.7MiB live, 1 024.9MiB allocated; 371ms collecting garbage

Counts

5 → 63

Calls

Call 1

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

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

eval6.0ms (0.1%)

Memory: 12.7MiB live, 12.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 334 to 159 computations (52.4% saved)

prune2.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated; 0ms collecting garbage

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	64	1	65
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	1	66

Accuracy

100.0%

Counts

66 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y y (*.f64 x x))

Compiler

Compiled 4 to 4 computations (0% saved)

series190.0ms (3.3%)

Memory

9.2MiB live, 58.5MiB allocated; 21ms collecting garbage

Counts

4 → 7

Calls

Call 1

Inputs
(fma.f64 y y (*.f64 x x))
y
(*.f64 x x)
x

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((+ (* y y) (* x x)) y (* x x) x)
1.0ms	x	@	-inf	((+ (* y y) (* x x)) y (* x x) x)
0.0ms	y	@	-inf	((+ (* y y) (* x x)) y (* x x) x)
0.0ms	y	@	inf	((+ (* y y) (* x x)) y (* x x) x)
0.0ms	x	@	0	((+ (* y y) (* x x)) y (* x x) x)

rewrite2.1s (37.4%)

Memory

-14.1MiB live, 1 265.1MiB allocated; 254ms collecting garbage

Counts

4 → 40

Calls

Call 1

Inputs
(fma.f64 y y (*.f64 x x))
y
(*.f64 x x)
x

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

eval5.0ms (0.1%)

Memory: 8.5MiB live, 8.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 220 to 111 computations (49.5% saved)

prune2.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated; 0ms collecting garbage

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	43	1	44

Accuracy

100.0%

Counts

44 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y y (*.f64 x x))

Compiler

Compiled 11 to 10 computations (9.1% saved)

regimes6.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-∞%)

Threshold costs -0b (-∞%)

Counts

2 → 1

Calls

Call 1

Inputs
(fma.f64 y y (*.f64 x x))
(+.f64 (.f64 x x) (.f64 y y))

Outputs
(fma.f64 y y (*.f64 x x))

Calls

5 calls:

1.0ms	y
1.0ms	x
1.0ms	(*.f64 y y)
1.0ms	(+.f64 (.f64 x x) (.f64 y y))
1.0ms	(*.f64 x x)

Results

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

Compiler

Compiled 11 to 15 computations (-36.4% saved)

derivations0.0ms (0%)

Memory

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

Stop Event

1×

done

Compiler

Compiled 4 to 4 computations (0% saved)

preprocess10.0ms (0.2%)

Memory

19.5MiB live, 19.5MiB allocated; 0ms collecting garbage

Remove

(sort x y)

(abs y)

(abs x)

Compiler

Compiled 33 to 33 computations (0% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample664.0ms (11.6%)

preprocess153.0ms (2.7%)

series193.0ms (3.4%)

rewrite2.4s (41.1%)

eval6.0ms (0.1%)

prune2.0ms (0%)

series190.0ms (3.3%)

rewrite2.1s (37.4%)

eval5.0ms (0.1%)

prune2.0ms (0%)

regimes6.0ms (0.1%)

derivations0.0ms (0%)

preprocess10.0ms (0.2%)

end0.0ms (0%)

Profiling