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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample418.0ms (52.2%)

Memory

18.5MiB live, 388.8MiB allocated; 48ms collecting garbage

Samples

254.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

ival-mult!: 60.0ms (71.1% of total)

ival-sub!: 23.0ms (27.3% of total)

adjust: 1.0ms (1.2% of total)

Bogosity

preprocess143.0ms (17.9%)

Memory

-25.5MiB live, 65.2MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	32
1	51	31
2	152	31
3	246	31
4	503	31
5	2535	31
6	6242	31

Stop Event

1×	node-limit

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 (0.4%)

Memory

9.8MiB live, 9.8MiB allocated; 0ms collecting garbage

Counts

4 → 9

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 (+ 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)

rewrite77.0ms (9.6%)

Memory

5.7MiB live, 100.9MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	109
0	33	104
1	162	102
0	1377	101
1	4121	101

Stop Event

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

Counts

13 → 58

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 (+ 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
(neg.f64 (-.f64 (*.f64 y y) x))
(fma.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 y)) (fabs.f64 y) x)
(fma.f64 (*.f64 #s(literal -1 binary64) (neg.f64 y)) (neg.f64 y) x)
(fma.f64 (*.f64 #s(literal -1 binary64) y) y x)
(fma.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 y) x)
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 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 (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 (*.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 (neg.f64 y) y) (neg.f64 x))
(-.f64 x (*.f64 (neg.f64 (neg.f64 y)) y))
(-.f64 x (*.f64 y y))
(+.f64 (*.f64 (neg.f64 y) y) x)
(+.f64 x (*.f64 (neg.f64 y) y))
x
(.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) (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) y) (*.f64 #s(literal 1 binary64) y))
(.f64 (.f64 #s(literal 1 binary64) y) y)
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)))
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)))
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 (neg.f64 y) (neg.f64 y))
(.f64 #s(literal 1 binary64) (.f64 y y))
(.f64 (.f64 (neg.f64 y) y) #s(literal -1 binary64))
(.f64 (.f64 y y) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) y))
(*.f64 y y)
(pow.f64 (fabs.f64 (fabs.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 y)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 y) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 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))
(sqrt.f64 (.f64 (.f64 (*.f64 y y) y) y))
(fabs.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y 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)) (.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: 11.7MiB live, 11.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 211 to 119 computations (43.6% saved)

prune2.0ms (0.2%)

Memory

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

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	50	2	52
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	50	3	53

Accuracy

100.0%

Counts

53 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (neg.f64 y) y x)
✓	100.0%	(-.f64 x (*.f64 y y))
▶	55.0%	#s(approx (- x (* y y)) (*.f64 (neg.f64 y) y))

Compiler

Compiled 15 to 15 computations (0% saved)

series4.0ms (0.4%)

Memory

7.9MiB live, 7.9MiB allocated; 0ms collecting garbage

Counts

6 → 9

Calls

Call 1

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

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 (+ (* (neg y) y) x) #s(hole binary64 (+ x (* -1 (pow y 2)))))
#s(approx x #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 (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)) (* (neg y) y) (neg y) y (+ (* (neg y) y) x) x)
1.0ms	y	@	inf	((- x (* y y)) (* (neg y) y) (neg y) y (+ (* (neg y) y) x) x)
1.0ms	y	@	0	((- x (* y y)) (* (neg y) y) (neg y) y (+ (* (neg y) y) x) x)
0.0ms	x	@	-inf	((- x (* y y)) (* (neg y) y) (neg y) y (+ (* (neg y) y) x) x)
0.0ms	x	@	inf	((- x (* y y)) (* (neg y) y) (neg y) y (+ (* (neg y) y) x) x)

rewrite68.0ms (8.4%)

Memory

-28.6MiB live, 61.5MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	121
0	41	115
1	186	113
0	1485	112
1	4774	112

Stop Event

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

Counts

15 → 48

Calls

Call 1

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

eval4.0ms (0.5%)

Memory: 9.4MiB live, 9.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 179 to 100 computations (44.1% saved)

prune2.0ms (0.3%)

Memory

5.6MiB live, 5.6MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	44	0	44
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	44	3	47

Accuracy

100.0%

Counts

47 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (neg.f64 y) y x)
✓	100.0%	(-.f64 x (*.f64 y y))
✓	55.0%	#s(approx (- x (* y y)) (*.f64 (neg.f64 y) y))

Compiler

Compiled 26 to 25 computations (3.8% saved)

regimes6.0ms (0.7%)

Memory

15.4MiB live, 15.4MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

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

Outputs
(fma.f64 (neg.f64 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
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)

regimes32.0ms (4%)

Memory

-26.7MiB live, 22.1MiB allocated; 55ms collecting garbage

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

regimes4.0ms (0.5%)

Memory

11.8MiB live, 11.7MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

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
55.0%	1	`(*.f64 y y)`
55.0%	1	`(-.f64 x (*.f64 y y))`
55.0%	1	`x`
55.0%	1	`y`

Compiler

Compiled 8 to 11 computations (-37.5% saved)

derivations12.0ms (1.4%)

Memory

19.6MiB live, 19.6MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 11 to 10 computations (9.1% saved)

preprocess23.0ms (2.8%)

Memory: 0.8MiB live, 48.4MiB allocated; 8ms collecting garbage
Remove: (abs 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%)

analyze0.0ms (0%)

sample418.0ms (52.2%)

preprocess143.0ms (17.9%)

series3.0ms (0.4%)

rewrite77.0ms (9.6%)

eval5.0ms (0.6%)

prune2.0ms (0.2%)

series4.0ms (0.4%)

rewrite68.0ms (8.4%)

eval4.0ms (0.5%)

prune2.0ms (0.3%)

regimes6.0ms (0.7%)

regimes32.0ms (4%)

regimes4.0ms (0.5%)

derivations12.0ms (1.4%)

preprocess23.0ms (2.8%)

end0.0ms (0%)

Profiling