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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze605.0ms (18.9%)

Memory

4.7MiB live, 249.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.6%	0.4%	0%	0%	0%	0
0%	0%	99.6%	0.4%	0%	0%	0%	1
0%	0%	99.6%	0.4%	0%	0%	0%	2
0%	0%	99.6%	0.4%	0%	0%	0%	3
0%	0%	99.6%	0.4%	0%	0%	0%	4
0%	0%	99.6%	0.4%	0%	0%	0%	5
0%	0%	99.6%	0.4%	0%	0%	0%	6
0%	0%	99.6%	0.4%	0%	0%	0%	7
0%	0%	99.6%	0.4%	0%	0%	0%	8
6.3%	6.2%	93.4%	0.4%	0%	0%	0%	9
6.3%	6.2%	93.4%	0.4%	0%	0%	0%	10
6.3%	6.2%	93.4%	0.4%	0%	0%	0%	11
6.3%	6.2%	93.4%	0.4%	0%	0%	0%	12

Compiler

Compiled 35 to 28 computations (20% saved)

sample49.0ms (1.5%)

Memory

1.5MiB live, 17.7MiB allocated

Samples

36.0ms

260×

valid

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 10.0ms (39.3% of total)

ival-add: 8.0ms (31.4% of total)

const: 5.0ms (19.6% of total)

ival-div: 1.0ms (3.9% of total)

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

adjust: 0.0ms (0% of total)

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

Bogosity

explain2.5s (76.8%)

Memory

8.3MiB live, 1 923.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
114	-	-	`(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) #s(literal 54929528941/2000000 binary64)) y) #s(literal 28832688827/125000 binary64)) y) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))`
0	-	-	`(.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y)`
0	-	-	`a`
0	-	-	`t`
0	-	-	`(*.f64 (+.f64 y a) y)`
0	-	-	`(*.f64 x y)`
0	-	-	`c`
0	-	-	`(+.f64 y a)`
0	-	-	`y`
0	-	-	`i`
0	-	-	`(+.f64 (.f64 (+.f64 (.f64 x y) z) y) #s(literal 54929528941/2000000 binary64))`
0	-	-	`(+.f64 (.f64 (+.f64 (.f64 (+.f64 y a) y) b) y) c)`
0	-	-	`(+.f64 (*.f64 x y) z)`
0	-	-	`(.f64 (+.f64 (.f64 x y) z) y)`
0	-	-	`(+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i)`
0	-	-	`#s(literal 28832688827/125000 binary64)`
0	-	-	`z`
0	-	-	`(+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) #s(literal 54929528941/2000000 binary64)) y) #s(literal 28832688827/125000 binary64)) y) t)`
0	-	-	`(+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) #s(literal 54929528941/2000000 binary64)) y) #s(literal 28832688827/125000 binary64))`
0	-	-	`(.f64 (+.f64 (.f64 (+.f64 y a) y) b) y)`
0	-	-	`(+.f64 (*.f64 (+.f64 y a) y) b)`
0	-	-	`(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) #s(literal 54929528941/2000000 binary64)) y) #s(literal 28832688827/125000 binary64)) y)`
0	-	-	`(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) #s(literal 54929528941/2000000 binary64)) y)`
0	-	-	`b`
0	-	-	`#s(literal 54929528941/2000000 binary64)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) #s(literal 54929528941/2000000 binary64)) y) #s(literal 28832688827/125000 binary64)) y) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))`	o/o	95	0
↳	`(+.f64 (.f64 (+.f64 (.f64 x y) z) y) #s(literal 54929528941/2000000 binary64))`	overflow	79
↳	`(+.f64 (*.f64 x y) z)`	overflow	27
↳	`(+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) #s(literal 54929528941/2000000 binary64)) y) #s(literal 28832688827/125000 binary64))`	overflow	92
↳	`(+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) #s(literal 54929528941/2000000 binary64)) y) #s(literal 28832688827/125000 binary64)) y) t)`	overflow	100
↳	`(.f64 (+.f64 (.f64 x y) z) y)`	overflow	79
↳	`(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) #s(literal 54929528941/2000000 binary64)) y)`	overflow	92
↳	`(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) #s(literal 54929528941/2000000 binary64)) y) #s(literal 28832688827/125000 binary64)) y)`	overflow	100
↳	`(*.f64 x y)`	overflow	27
↳	`(.f64 (+.f64 (.f64 (+.f64 y a) y) b) y)`	overflow	91
↳	`(+.f64 (*.f64 (+.f64 y a) y) b)`	overflow	66
↳	`(+.f64 (.f64 (+.f64 (.f64 (+.f64 y a) y) b) y) c)`	overflow	91
↳	`(*.f64 (+.f64 y a) y)`	overflow	66
↳	`(.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y)`	overflow	109
↳	`(+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i)`	overflow	109
`/.f64`	`(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) #s(literal 54929528941/2000000 binary64)) y) #s(literal 28832688827/125000 binary64)) y) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))`	n/o	14	0
↳	`(.f64 (+.f64 (.f64 (+.f64 y a) y) b) y)`	overflow	91
↳	`(+.f64 (*.f64 (+.f64 y a) y) b)`	overflow	66
↳	`(+.f64 (.f64 (+.f64 (.f64 (+.f64 y a) y) b) y) c)`	overflow	91
↳	`(*.f64 (+.f64 y a) y)`	overflow	66
↳	`(.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y)`	overflow	109
↳	`(+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i)`	overflow	109
`/.f64`	`(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) #s(literal 54929528941/2000000 binary64)) y) #s(literal 28832688827/125000 binary64)) y) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))`	o/n	5	0
↳	`(+.f64 (.f64 (+.f64 (.f64 x y) z) y) #s(literal 54929528941/2000000 binary64))`	overflow	79
↳	`(+.f64 (*.f64 x y) z)`	overflow	27
↳	`(+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) #s(literal 54929528941/2000000 binary64)) y) #s(literal 28832688827/125000 binary64))`	overflow	92
↳	`(+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) #s(literal 54929528941/2000000 binary64)) y) #s(literal 28832688827/125000 binary64)) y) t)`	overflow	100
↳	`(.f64 (+.f64 (.f64 x y) z) y)`	overflow	79
↳	`(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) #s(literal 54929528941/2000000 binary64)) y)`	overflow	92
↳	`(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) #s(literal 54929528941/2000000 binary64)) y) #s(literal 28832688827/125000 binary64)) y)`	overflow	100
↳	`(*.f64 x y)`	overflow	27

Confusion

	Predicted +	Predicted -
+	114	0
-	0	142

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	114	0	0
-	0	0	142

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	142
1	114

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Total Time

15.484375

Average Time

0.06048583984375

Samples

474.0ms

3 072×

valid

Compiler

Compiled 7 116 to 1 272 computations (82.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 304.0ms

ival-mult: 122.0ms (40.1% of total)

ival-add: 97.0ms (31.9% of total)

const: 64.0ms (21% of total)

ival-div: 17.0ms (5.6% of total)

ival-true: 2.0ms (0.7% of total)

adjust: 1.0ms (0.3% of total)

ival-assert: 1.0ms (0.3% of total)

preprocess64.0ms (2%)

Memory

0.2MiB live, 15.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	398	1478
1	814	1460
2	1787	1457
3	6413	1456
0	26	33
0	42	33
1	57	33
2	104	33
3	312	33
4	766	33
5	1688	33
6	2003	33
0	2003	26

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) #s(literal 54929528941/2000000 binary64)) y) #s(literal 28832688827/125000 binary64)) y) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))

Inputs

(/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 x y) z) y) #s(literal 54929528941/2000000 binary64)) y) #s(literal 28832688827/125000 binary64)) y) t) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))

Outputs
(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) #s(literal 54929528941/2000000 binary64)) y) #s(literal 28832688827/125000 binary64)) y) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 y x z) y #s(literal 54929528941/2000000 binary64)) y #s(literal 28832688827/125000 binary64)) y t) (fma.f64 (fma.f64 (fma.f64 (+.f64 a y) y b) y c) y i))

Outputs

(/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 x y) z) y) #s(literal 54929528941/2000000 binary64)) y) #s(literal 28832688827/125000 binary64)) y) t) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))

(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 y x z) y #s(literal 54929528941/2000000 binary64)) y #s(literal 28832688827/125000 binary64)) y t) (fma.f64 (fma.f64 (fma.f64 (+.f64 a y) y b) y c) y i))

Compiler

Compiled 33 to 26 computations (21.2% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 8 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.7%	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) #s(literal 54929528941/2000000 binary64)) y) #s(literal 28832688827/125000 binary64)) y) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))

Status

Accuracy

Program

55.7%

(/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 x y) z) y) #s(literal 54929528941/2000000 binary64)) y) #s(literal 28832688827/125000 binary64)) y) t) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))

Compiler

Compiled 66 to 52 computations (21.2% saved)

simplify21.0ms (0.6%)

Memory

-7.2MiB live, 18.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	33
1	41	33

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) #s(literal 54929528941/2000000 binary64)) y) #s(literal 28832688827/125000 binary64)) y) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))

Inputs

(/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 x y) z) y) #s(literal 54929528941/2000000 binary64)) y) #s(literal 28832688827/125000 binary64)) y) t) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))

Outputs
(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) #s(literal 54929528941/2000000 binary64)) y) #s(literal 28832688827/125000 binary64)) y) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))
(/.f64 (+.f64 t (.f64 (+.f64 #s(literal 28832688827/125000 binary64) (.f64 (+.f64 #s(literal 54929528941/2000000 binary64) (.f64 (+.f64 z (.f64 y x)) y)) y)) y)) (+.f64 i (.f64 (+.f64 c (.f64 (+.f64 b (*.f64 (+.f64 a y) y)) y)) y)))

Outputs

(/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 x y) z) y) #s(literal 54929528941/2000000 binary64)) y) #s(literal 28832688827/125000 binary64)) y) t) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))

(/.f64 (+.f64 t (*.f64 (+.f64 #s(literal 28832688827/125000 binary64) (*.f64 (+.f64 #s(literal 54929528941/2000000 binary64) (*.f64 (+.f64 z (*.f64 y x)) y)) y)) y)) (+.f64 i (*.f64 (+.f64 c (*.f64 (+.f64 b (*.f64 (+.f64 a y) y)) y)) y)))

soundness0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Stop Event

1×

fuel

Compiler

Compiled 33 to 26 computations (21.2% saved)

preprocess1.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 132 to 104 computations (21.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze605.0ms (18.9%)

sample49.0ms (1.5%)

explain2.5s (76.8%)

preprocess64.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify21.0ms (0.6%)

soundness0.0ms (0%)

preprocess1.0ms (0%)

end0.0ms (0%)

Profiling