Metrics for Numeric.SpecFunctions:logGammaCorrection from math-functions-0.1.5.2

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
100%	100%	0%	0%	0%	0%	0%	1

Compiler

Compiled 9 to 7 computations (22.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

Operation ival-sub, time spent: 0.0ms, 0.0% of total-time

Operation ival-mult, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

sample761.0ms (80.2%)

Results

521.0ms	6197×	valid
169.0ms	2058×	infinite
0.0ms	1×	infinite

Precisions

Click to see histograms. Total time spent on operations: 203.0ms

Operation ival-mult, time spent: 133.0ms, 66.0% of total-time

Operation ival-sub, time spent: 50.0ms, 25.0% of total-time

Operation const, time spent: 15.0ms, 7.0% of total-time

Operation backward-pass, time spent: 4.0ms, 2.0% of total-time

Bogosity

preprocess126.0ms (13.3%)

Algorithm

1×	egg-herbie

Rules

60×	`fma-neg`
47×	`fma-define`
21×	`distribute-lft-neg-in`
18×	`associate-r`
15×	`associate-l`

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(.f64 (.f64 x x) #s(literal 2 binary64))`
-	-	`(*.f64 x x)`
-	-	`#s(literal 1 binary64)`
-	-	`#s(literal 2 binary64)`
-	-	`(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	88
1	41	88
2	90	88
3	193	84
4	302	84
5	380	84
6	395	84
7	397	84

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
(-.f64 (.f64 (.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))
(neg.f64 (-.f64 (.f64 (.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)))

Outputs
(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64))
(fma.f64 x (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64))
(fma.f64 x (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(-.f64 (.f64 (.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64))
(fma.f64 x (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(neg.f64 (-.f64 (.f64 (.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(neg.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64)))
(neg.f64 (fma.f64 x (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)))
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))

Symmetry

(abs x)

Compiler

Compiled 48 to 28 computations (41.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

Operation ival-mult, time spent: 12.0ms, 73.0% of total-time

Operation ival-sub, time spent: 3.0ms, 18.0% of total-time

Operation const, time spent: 2.0ms, 12.0% of total-time

eval1.0ms (0.1%)

Compiler: Compiled 13 to 9 computations (30.8% saved)

prune1.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))

Compiler

Compiled 8 to 6 computations (25% saved)

localize32.0ms (3.4%)

Compiler: Compiled 20 to 11 computations (45% saved)
Precisions: Click to see histograms. Total time spent on operations: 8.0ms
Operation ival-mult, time spent: 5.0ms, 66.0% of total-time
Operation const, time spent: 1.0ms, 13.0% of total-time
Operation ival-sub, time spent: 1.0ms, 13.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 1 to 1 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 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))

Compiler

Compiled 16 to 12 computations (25% saved)

simplify3.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

3×	`1-exp`
2×	`unsub-neg`
2×	`sub-neg`
2×	`*-commutative`
2×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	19	25
2	23	25
3	26	25
4	29	25
5	32	25

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))

Outputs
(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal -1 binary64))

Compiler

Compiled 8 to 6 computations (25% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess25.0ms (2.6%)

Remove: (abs x)
Compiler: Compiled 64 to 48 computations (25% saved)

analyze0.0ms (0%)

sample761.0ms (80.2%)

preprocess126.0ms (13.3%)

eval1.0ms (0.1%)

prune1.0ms (0.1%)

localize32.0ms (3.4%)

eval0.0ms (0%)

prune1.0ms (0.1%)

simplify3.0ms (0.3%)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess25.0ms (2.6%)

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