Metrics for Graphics.Rendering.Chart.Plot.Vectors:renderPlotVectors from Chart-1.5.3

analyze1.0ms (0%)

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 12 to 9 computations (25% saved)

Precisions

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

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

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample1.0s (55.2%)

Results

411.0ms	6366×	0	valid
314.0ms	1752×	1	valid
25.0ms	138×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 436.0ms

ival-sub: 148.0ms (34% of total)

ival-mult: 114.0ms (26.2% of total)

ival-add: 107.0ms (24.6% of total)

backward-pass: 49.0ms (11.2% of total)

const: 18.0ms (4.1% of total)

Bogosity

preprocess241.0ms (12.8%)

Algorithm

1×	egg-herbie

Rules

725×	`fma-neg`
569×	`unsub-neg`
521×	`sub-neg`
432×	`distribute-lft-out`
415×	`distribute-lft-out--`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	25	270
1	57	222
2	167	218
3	709	218
4	2707	175
5	5011	175
6	6069	175
7	6595	175
8	6843	175
9	6993	175
10	7082	175
11	7202	175
12	7543	175

Stop Event

1×	node limit

Calls

Call 1

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

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

explain180.0ms (9.6%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
61	-	-	`(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))`
0	-	-	`x`
0	-	-	`(-.f64 #s(literal 1 binary64) x)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))`
0	-	-	`y`
0	-	-	`(-.f64 #s(literal 1 binary64) y)`

Results

73.0ms	394×	0	valid
67.0ms	110×	1	valid
3.0ms	8×	2	valid

Compiler

Compiled 67 to 46 computations (31.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-sub: 21.0ms (47.7% of total)

ival-mult: 9.0ms (20.5% of total)

backward-pass: 8.0ms (18.2% of total)

const: 3.0ms (6.8% of total)

ival-add: 3.0ms (6.8% of total)

eval0.0ms (0%)

Compiler: Compiled 17 to 12 computations (29.4% saved)

prune1.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1 binary64))))

Compiler

Compiled 9 to 7 computations (22.2% saved)

localize75.0ms (4%)

Results

66.0ms

256×

valid

Compiler

Compiled 22 to 15 computations (31.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-add: 6.0ms (58.1% of total)

ival-mult: 4.0ms (38.7% of total)

const: 1.0ms (9.7% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	0	0
Total	1	1

Accuracy

100.0%

Counts

1 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1 binary64))))

Compiler

Compiled 27 to 20 computations (25.9% saved)

regimes6.0ms (0.3%)

Accuracy

Total -14.2b remaining (-∞%)

Threshold costs -14.2b (-∞%)

Counts

2 → 1

Calls

Call 1

Inputs
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1 binary64))))
(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))

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

Calls

4 calls:

2.0ms	y
1.0ms	x
1.0ms	(-.f64 #s(literal 1 binary64) y)
1.0ms	(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)))`
100.0%	1	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`1-exp`
2×	`+-commutative`
1×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	21	25

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1 binary64))))

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

soundness307.0ms (16.3%)

Rules

725×	`fma-neg`
569×	`unsub-neg`
521×	`sub-neg`
432×	`distribute-lft-out`
415×	`distribute-lft-out--`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	25	270
1	57	222
2	167	218
3	709	218
4	2707	175
5	5011	175
6	6069	175
7	6595	175
8	6843	175
9	6993	175
10	7082	175
11	7202	175
12	7543	175

Stop Event

1×	done
1×	node limit

Compiler

Compiled 212 to 138 computations (34.9% saved)

preprocess27.0ms (1.4%)

Compiler: Compiled 58 to 42 computations (27.6% saved)

Graphics.Rendering.Chart.Plot.Vectors:renderPlotVectors from Chart-1.5.3

analyze1.0ms (0%)

sample1.0s (55.2%)

preprocess241.0ms (12.8%)

explain180.0ms (9.6%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize75.0ms (4%)

eval0.0ms (0%)

prune1.0ms (0.1%)

regimes6.0ms (0.3%)

simplify2.0ms (0.1%)

soundness307.0ms (16.3%)

preprocess27.0ms (1.4%)

end0.0ms (0%)

Profiling