Metrics for Graphics.Rasterific.Shading:$sradialGradientWithFocusShader from Rasterific-0.6.1

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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 7 to 6 computations (14.3% saved)

sample657.0ms (72.3%)

Memory

10.7MiB live, 899.5MiB allocated; 295ms collecting garbage

Samples

454.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

ival-mult!: 67.0ms (77.2% of total)

ival-sub!: 19.0ms (21.9% of total)

adjust: 1.0ms (1.2% of total)

Bogosity

preprocess7.0ms (0.8%)

Memory

14.5MiB live, 14.5MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	34
1	33	34
2	87	32
3	146	32
4	192	32

Stop Event

1×

saturated

Alt Table

Click to see full alt table

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

Symmetry

(abs y)

Compiler

Compiled 8 to 8 computations (0% saved)

series3.0ms (0.3%)

Memory

4.9MiB live, 4.9MiB allocated; 0ms collecting garbage

Counts

4 → 10

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite71.0ms (7.8%)

Memory

-25.5MiB live, 71.9MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	116
0	34	111
1	138	109
0	1096	109

Stop Event

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

Counts

14 → 66

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 x x)) (-.f64 (*.f64 (neg.f64 y) y) x))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)))) (neg.f64 (fma.f64 (.f64 y y) (fma.f64 y y x) (*.f64 x x))))
(/.f64 (neg.f64 (.f64 (fma.f64 y y x) (-.f64 x (.f64 y y)))) (neg.f64 (fma.f64 y y x)))
(/.f64 (.f64 (fma.f64 y y x) (-.f64 x (.f64 y y))) (fma.f64 y y x))
(/.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y))) (fma.f64 (.f64 (.f64 y y) y) y (-.f64 (.f64 x x) (.f64 (neg.f64 x) (.f64 y y)))))
(/.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y))) (fma.f64 (.f64 y y) (fma.f64 y y x) (*.f64 x x)))
(fma.f64 (*.f64 #s(literal -1 binary64) (neg.f64 y)) (neg.f64 y) x)
(fma.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 y)) (fabs.f64 y) x)
(fma.f64 (*.f64 #s(literal -1 binary64) y) y x)
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 y) x)
(fma.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 y) x)
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal -1 binary64)) x)
(fma.f64 (neg.f64 y) (neg.f64 (neg.f64 y)) x)
(fma.f64 (neg.f64 y) y x)
(fma.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) #s(literal -1 binary64)) x)
(fma.f64 (fabs.f64 y) (neg.f64 (fabs.f64 y)) x)
(fma.f64 (*.f64 y y) #s(literal -1 binary64) x)
(fma.f64 #s(literal -1 binary64) (*.f64 y y) x)
(fma.f64 y (*.f64 y #s(literal -1 binary64)) x)
(fma.f64 y (neg.f64 y) x)
(-.f64 (/.f64 (.f64 x x) (fma.f64 y y x)) (/.f64 (.f64 (.f64 (.f64 y y) y) y) (fma.f64 y y x)))
(-.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 y y) (fma.f64 y y x) (.f64 x x))) (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)) (fma.f64 (.f64 y y) (fma.f64 y y x) (*.f64 x x))))
(-.f64 x (.f64 (.f64 (neg.f64 y) y) #s(literal -1 binary64)))
(-.f64 x (*.f64 (neg.f64 (neg.f64 y)) y))
(-.f64 x (*.f64 y y))
(+.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 y y) (fma.f64 y y x) (.f64 x x))) (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (neg.f64 y) y)) (fma.f64 (.f64 y y) (fma.f64 y y x) (*.f64 x x))))
(+.f64 (*.f64 (neg.f64 y) y) x)
(+.f64 x (*.f64 (neg.f64 y) y))
x
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 y))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 y)) (*.f64 #s(literal 1 binary64) (fabs.f64 y)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 y)) (fabs.f64 y))
(.f64 (.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) y))
(.f64 (.f64 #s(literal 1 binary64) y) y)
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)))
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(.f64 #s(literal 1 binary64) (.f64 y y))
(.f64 (.f64 y y) #s(literal 1 binary64))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (fabs.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 y y)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(+.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
y
#s(approx (- x (* y y)) (*.f64 (neg.f64 y) y))
#s(approx (- x (* y y)) (-.f64 x (*.f64 y y)))
#s(approx x x)
#s(approx (- x (* y y)) x)
#s(approx (- x (* y y)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) x)) x))
#s(approx (- x (* y y)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) x)) x))
#s(approx (- x (* y y)) (-.f64 x (*.f64 y y)))
#s(approx (* y y) (*.f64 y y))
#s(approx y y)
#s(approx (- x (* y y)) (.f64 (.f64 (-.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) y) y))

eval5.0ms (0.6%)

Memory: 9.8MiB live, 9.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 327 to 155 computations (52.6% saved)

prune2.0ms (0.2%)

Memory

3.7MiB live, 3.7MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	58	2	60
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	58	3	61

Accuracy

100.0%

Counts

61 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 x (*.f64 y y))
▶	51.7%	#s(approx (- x (* y y)) (*.f64 (neg.f64 y) y))
▶	51.3%	#s(approx (- x (* y y)) x)

Compiler

Compiled 16 to 16 computations (0% saved)

series3.0ms (0.3%)

Memory

4.8MiB live, 4.8MiB allocated; 0ms collecting garbage

Counts

6 → 11

Calls

Call 1

Inputs
#s(approx (- x (* y y)) x)
x
#s(approx (- x (* y y)) (*.f64 (neg.f64 y) y))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y

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

Calls

6 calls:

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

rewrite44.0ms (4.9%)

Memory

-7.9MiB live, 40.0MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	140
0	41	133
1	145	131
0	1102	131

Stop Event

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

Counts

17 → 31

Calls

Call 1

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

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

eval2.0ms (0.2%)

Memory: 3.4MiB live, 3.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 104 to 70 computations (32.7% saved)

prune2.0ms (0.2%)

Memory

3.2MiB live, 3.2MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	21	0	21
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	21	3	24

Accuracy

100.0%

Counts

24 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 x (*.f64 y y))
✓	51.7%	#s(approx (- x (* y y)) (*.f64 (neg.f64 y) y))
✓	51.3%	#s(approx (- x (* y y)) x)

Compiler

Compiled 28 to 26 computations (7.1% saved)

regimes6.0ms (0.7%)

Memory

11.5MiB live, 11.5MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs
#s(approx (- x (* y y)) x)
#s(approx (- x (* y y)) (*.f64 (neg.f64 y) y))
(-.f64 x (*.f64 y y))

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

Calls

4 calls:

2.0ms	x
2.0ms	y
1.0ms	(-.f64 x (*.f64 y y))
1.0ms	(*.f64 y y)

Results

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

Compiler

Compiled 8 to 11 computations (-37.5% saved)

regimes33.0ms (3.6%)

Memory

-37.1MiB live, 9.6MiB allocated; 3ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (- x (* y y)) x)
#s(approx (- x (* y y)) (*.f64 (neg.f64 y) y))

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

Calls

4 calls:

28.0ms	(*.f64 y y)
1.0ms	x
1.0ms	y
1.0ms	(-.f64 x (*.f64 y y))

Results

Accuracy	Segments	Branch
88.3%	2	`(*.f64 y y)`
80.5%	2	`(-.f64 x (*.f64 y y))`
66.9%	3	`x`
88.3%	2	`y`

Compiler

Compiled 8 to 11 computations (-37.5% saved)

regimes4.0ms (0.5%)

Memory

8.0MiB live, 8.0MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- x (* y y)) x)

Outputs
#s(approx (- x (* y y)) x)

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
51.3%	1	`x`
51.3%	1	`(-.f64 x (*.f64 y y))`
51.3%	1	`(*.f64 y y)`
51.3%	1	`y`

Compiler

Compiled 8 to 11 computations (-37.5% saved)

bsearch6.0ms (0.7%)

Memory

5.8MiB live, 5.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	5.359635301011436e-6	2.5292845033444333e-5

Samples

2.0ms

96×

valid

Compiler

Compiled 80 to 93 computations (-16.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

adjust: 0.0ms (0% of total)

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

derivations7.0ms (0.8%)

Memory

5.4MiB live, 5.4MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 15 to 13 computations (13.3% saved)

preprocess55.0ms (6.1%)

Memory: -10.5MiB live, 35.4MiB allocated; 4ms collecting garbage
Remove: (abs y)
Compiler: Compiled 63 to 57 computations (9.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample657.0ms (72.3%)

preprocess7.0ms (0.8%)

series3.0ms (0.3%)

rewrite71.0ms (7.8%)

eval5.0ms (0.6%)

prune2.0ms (0.2%)

series3.0ms (0.3%)

rewrite44.0ms (4.9%)

eval2.0ms (0.2%)

prune2.0ms (0.2%)

regimes6.0ms (0.7%)

regimes33.0ms (3.6%)

regimes4.0ms (0.5%)

bsearch6.0ms (0.7%)

derivations7.0ms (0.8%)

preprocess55.0ms (6.1%)

end0.0ms (0%)

Profiling