Metrics for Numeric.SpecFunctions:$slogFactorial from math-functions-0.1.5.2, B

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
100%	49.9%	0%	0.1%	0%	49.9%	0%	2

Compiler

Compiled 26 to 22 computations (15.4% saved)

sample46.0ms (2.2%)

Memory

7.0MiB live, 15.5MiB allocated

Samples

36.0ms

260×

valid

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

const: 13.0ms (43.9% of total)

ival-mult: 5.0ms (16.9% of total)

ival-add: 4.0ms (13.5% of total)

ival-sub: 3.0ms (10.1% of total)

ival-log: 3.0ms (10.1% of total)

ival-div: 2.0ms (6.8% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

Bogosity

explain1.9s (89.3%)

Memory

8.9MiB live, 1 473.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
15	-	-	`(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y #s(literal 7936500793651/10000000000000000 binary64)) z) #s(literal 13888888888889/5000000000000000 binary64)) z) #s(literal 83333333333333/1000000000000000 binary64)) x)`
0	-	-	`(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) (log.f64 x)) x) #s(literal 91893853320467/100000000000000 binary64)) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y #s(literal 7936500793651/10000000000000000 binary64)) z) #s(literal 13888888888889/5000000000000000 binary64)) z) #s(literal 83333333333333/1000000000000000 binary64)) x))`
0	-	-	`#s(literal 13888888888889/5000000000000000 binary64)`
0	-	-	`(log.f64 x)`
0	-	-	`(.f64 (-.f64 (.f64 (+.f64 y #s(literal 7936500793651/10000000000000000 binary64)) z) #s(literal 13888888888889/5000000000000000 binary64)) z)`
0	-	-	`(+.f64 y #s(literal 7936500793651/10000000000000000 binary64))`
0	-	-	`y`
0	-	-	`(+.f64 (-.f64 (*.f64 (-.f64 x #s(literal 1/2 binary64)) (log.f64 x)) x) #s(literal 91893853320467/100000000000000 binary64))`
0	-	-	`#s(literal 83333333333333/1000000000000000 binary64)`
0	-	-	`(*.f64 (+.f64 y #s(literal 7936500793651/10000000000000000 binary64)) z)`
0	-	-	`#s(literal 1/2 binary64)`
0	-	-	`#s(literal 7936500793651/10000000000000000 binary64)`
0	-	-	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y #s(literal 7936500793651/10000000000000000 binary64)) z) #s(literal 13888888888889/5000000000000000 binary64)) z) #s(literal 83333333333333/1000000000000000 binary64))`
0	-	-	`(*.f64 (-.f64 x #s(literal 1/2 binary64)) (log.f64 x))`
0	-	-	`z`
0	-	-	`(-.f64 (*.f64 (-.f64 x #s(literal 1/2 binary64)) (log.f64 x)) x)`
0	-	-	`(-.f64 x #s(literal 1/2 binary64))`
0	-	-	`(-.f64 (*.f64 (+.f64 y #s(literal 7936500793651/10000000000000000 binary64)) z) #s(literal 13888888888889/5000000000000000 binary64))`
0	-	-	`#s(literal 91893853320467/100000000000000 binary64)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y #s(literal 7936500793651/10000000000000000 binary64)) z) #s(literal 13888888888889/5000000000000000 binary64)) z) #s(literal 83333333333333/1000000000000000 binary64)) x)`	o/n	15	0
↳	`(*.f64 (+.f64 y #s(literal 7936500793651/10000000000000000 binary64)) z)`	overflow	41
↳	`(.f64 (-.f64 (.f64 (+.f64 y #s(literal 7936500793651/10000000000000000 binary64)) z) #s(literal 13888888888889/5000000000000000 binary64)) z)`	overflow	91
↳	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y #s(literal 7936500793651/10000000000000000 binary64)) z) #s(literal 13888888888889/5000000000000000 binary64)) z) #s(literal 83333333333333/1000000000000000 binary64))`	overflow	91
↳	`(-.f64 (*.f64 (+.f64 y #s(literal 7936500793651/10000000000000000 binary64)) z) #s(literal 13888888888889/5000000000000000 binary64))`	overflow	41

Confusion

	Predicted +	Predicted -
+	15	0
-	0	241

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	15	0	0
-	0	0	241

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	241
1	15

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Total Time

14.40087890625

Average Time

0.05625343322753906

Samples

469.0ms

3 072×

valid

Compiler

Compiled 4 236 to 984 computations (76.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 344.0ms

const: 141.0ms (41% of total)

ival-mult: 54.0ms (15.7% of total)

ival-add: 48.0ms (13.9% of total)

ival-sub: 42.0ms (12.2% of total)

ival-log: 33.0ms (9.6% of total)

ival-div: 19.0ms (5.5% of total)

ival-true: 2.0ms (0.6% of total)

exact: 2.0ms (0.6% of total)

adjust: 1.0ms (0.3% of total)

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

preprocess152.0ms (7.3%)

Memory

-3.7MiB live, 27.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	233
1	176	224
2	547	218
3	2162	218
4	5830	218
0	20	24
0	32	24
1	51	24
2	103	24
3	277	24
4	602	24
5	1291	24
6	2517	24
7	4243	24
8	6579	24
9	7656	24
0	8031	21

Stop Event

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

Calls

Call 1

Inputs
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) (log.f64 x)) x) #s(literal 91893853320467/100000000000000 binary64)) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y #s(literal 7936500793651/10000000000000000 binary64)) z) #s(literal 13888888888889/5000000000000000 binary64)) z) #s(literal 83333333333333/1000000000000000 binary64)) x))

Inputs

(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x #s(literal 1/2 binary64)) (log.f64 x)) x) #s(literal 91893853320467/100000000000000 binary64)) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y #s(literal 7936500793651/10000000000000000 binary64)) z) #s(literal 13888888888889/5000000000000000 binary64)) z) #s(literal 83333333333333/1000000000000000 binary64)) x))

Outputs
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) (log.f64 x)) x) #s(literal 91893853320467/100000000000000 binary64)) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y #s(literal 7936500793651/10000000000000000 binary64)) z) #s(literal 13888888888889/5000000000000000 binary64)) z) #s(literal 83333333333333/1000000000000000 binary64)) x))
(-.f64 (/.f64 (fma.f64 (fma.f64 z (-.f64 y #s(literal -7936500793651/10000000000000000 binary64)) #s(literal -13888888888889/5000000000000000 binary64)) z #s(literal 83333333333333/1000000000000000 binary64)) x) (-.f64 x (fma.f64 (log.f64 x) (-.f64 x #s(literal 1/2 binary64)) #s(literal 91893853320467/100000000000000 binary64))))

Outputs

(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x #s(literal 1/2 binary64)) (log.f64 x)) x) #s(literal 91893853320467/100000000000000 binary64)) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y #s(literal 7936500793651/10000000000000000 binary64)) z) #s(literal 13888888888889/5000000000000000 binary64)) z) #s(literal 83333333333333/1000000000000000 binary64)) x))

(-.f64 (/.f64 (fma.f64 (fma.f64 z (-.f64 y #s(literal -7936500793651/10000000000000000 binary64)) #s(literal -13888888888889/5000000000000000 binary64)) z #s(literal 83333333333333/1000000000000000 binary64)) x) (-.f64 x (fma.f64 (log.f64 x) (-.f64 x #s(literal 1/2 binary64)) #s(literal 91893853320467/100000000000000 binary64))))

Compiler

Compiled 24 to 20 computations (16.7% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.2%	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) (log.f64 x)) x) #s(literal 91893853320467/100000000000000 binary64)) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y #s(literal 7936500793651/10000000000000000 binary64)) z) #s(literal 13888888888889/5000000000000000 binary64)) z) #s(literal 83333333333333/1000000000000000 binary64)) x))

Status

Accuracy

Program

94.2%

(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x #s(literal 1/2 binary64)) (log.f64 x)) x) #s(literal 91893853320467/100000000000000 binary64)) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y #s(literal 7936500793651/10000000000000000 binary64)) z) #s(literal 13888888888889/5000000000000000 binary64)) z) #s(literal 83333333333333/1000000000000000 binary64)) x))

Compiler

Compiled 48 to 40 computations (16.7% saved)

simplify20.0ms (1%)

Memory

2.8MiB live, 18.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	24
1	33	24
2	44	24
3	50	24
4	53	24

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) (log.f64 x)) x) #s(literal 91893853320467/100000000000000 binary64)) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y #s(literal 7936500793651/10000000000000000 binary64)) z) #s(literal 13888888888889/5000000000000000 binary64)) z) #s(literal 83333333333333/1000000000000000 binary64)) x))

Inputs

(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x #s(literal 1/2 binary64)) (log.f64 x)) x) #s(literal 91893853320467/100000000000000 binary64)) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y #s(literal 7936500793651/10000000000000000 binary64)) z) #s(literal 13888888888889/5000000000000000 binary64)) z) #s(literal 83333333333333/1000000000000000 binary64)) x))

Outputs
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) (log.f64 x)) x) #s(literal 91893853320467/100000000000000 binary64)) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y #s(literal 7936500793651/10000000000000000 binary64)) z) #s(literal 13888888888889/5000000000000000 binary64)) z) #s(literal 83333333333333/1000000000000000 binary64)) x))
(+.f64 (/.f64 (+.f64 #s(literal 83333333333333/1000000000000000 binary64) (.f64 (-.f64 (.f64 z (+.f64 #s(literal 7936500793651/10000000000000000 binary64) y)) #s(literal 13888888888889/5000000000000000 binary64)) z)) x) (+.f64 #s(literal 91893853320467/100000000000000 binary64) (-.f64 (*.f64 (log.f64 x) (-.f64 x #s(literal 1/2 binary64))) x)))

Outputs

(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x #s(literal 1/2 binary64)) (log.f64 x)) x) #s(literal 91893853320467/100000000000000 binary64)) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y #s(literal 7936500793651/10000000000000000 binary64)) z) #s(literal 13888888888889/5000000000000000 binary64)) z) #s(literal 83333333333333/1000000000000000 binary64)) x))

(+.f64 (/.f64 (+.f64 #s(literal 83333333333333/1000000000000000 binary64) (*.f64 (-.f64 (*.f64 z (+.f64 #s(literal 7936500793651/10000000000000000 binary64) y)) #s(literal 13888888888889/5000000000000000 binary64)) z)) x) (+.f64 #s(literal 91893853320467/100000000000000 binary64) (-.f64 (*.f64 (log.f64 x) (-.f64 x #s(literal 1/2 binary64))) x)))

soundness0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Stop Event

1×

fuel

Compiler

Compiled 24 to 20 computations (16.7% saved)

preprocess3.0ms (0.1%)

Memory: 2.0MiB live, 2.0MiB allocated
Compiler: Compiled 148 to 122 computations (17.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze1.0ms (0%)

sample46.0ms (2.2%)

explain1.9s (89.3%)

preprocess152.0ms (7.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify20.0ms (1%)

soundness0.0ms (0%)

preprocess3.0ms (0.1%)

end0.0ms (0%)

Profiling