Metrics for Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, I

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze561.0ms (62.9%)

Memory

7.6MiB live, 213.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.7%	0.3%	0%	0%	0%	0
0%	0%	99.7%	0.3%	0%	0%	0%	1
0%	0%	99.7%	0.3%	0%	0%	0%	2
0%	0%	99.7%	0.3%	0%	0%	0%	3
0%	0%	99.7%	0.3%	0%	0%	0%	4
0%	0%	99.7%	0.3%	0%	0%	0%	5
6.3%	6.2%	93.4%	0.3%	0%	0%	0%	6
6.3%	6.2%	93.4%	0.3%	0%	0%	0%	7
6.3%	6.2%	93.4%	0.3%	0%	0%	0%	8
9.4%	9.3%	90.3%	0.3%	0%	0%	0%	9
9.4%	9.3%	90.3%	0.3%	0%	0%	0%	10
9.4%	9.3%	90.3%	0.3%	0%	0%	0%	11
11%	9.6%	77.6%	0.3%	0%	12.5%	0%	12

Compiler

Compiled 35 to 30 computations (14.3% saved)

sample78.0ms (8.8%)

Memory

-2.1MiB live, 27.9MiB allocated

Samples

35.0ms	260×	0	valid
20.0ms	156×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 11.0ms (28.1% of total)

ival-div: 10.0ms (25.6% of total)

ival-add: 6.0ms (15.3% of total)

ival-sub: 5.0ms (12.8% of total)

ival-exp: 3.0ms (7.7% of total)

ival-sqrt: 3.0ms (7.7% of total)

exact: 1.0ms (2.6% of total)

adjust: 0.0ms (0% of total)

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

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

Bogosity

explain57.0ms (6.4%)

Memory

-4.0MiB live, 23.2MiB allocated

Confusion

	Predicted +	Predicted -
+	1	10
-	110	135

Precision

0.009009009009009009

Recall

0.09090909090909091

Samples

35.0ms

256×

valid

Compiler

Compiled 101 to 86 computations (14.9% saved)

Precisions

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

ival-div: 7.0ms (28.3% of total)

ival-mult: 7.0ms (28.3% of total)

ival-add: 4.0ms (16.2% of total)

ival-sub: 4.0ms (16.2% of total)

ival-exp: 2.0ms (8.1% of total)

ival-sqrt: 2.0ms (8.1% 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)

preprocess143.0ms (16.1%)

Memory

7.6MiB live, 43.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	330	1114
1	791	1028
2	2271	1020
0	28	31
0	46	31
1	71	29
2	153	29
3	622	29
4	3335	29
0	8289	27

Stop Event

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

Calls

Call 1

Inputs
(/.f64 x (+.f64 x (.f64 y (exp.f64 (.f64 #s(literal 2 binary64) (-.f64 (/.f64 (.f64 z (sqrt.f64 (+.f64 t a))) t) (.f64 (-.f64 b c) (-.f64 (+.f64 a (/.f64 #s(literal 5 binary64) #s(literal 6 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 t #s(literal 3 binary64)))))))))))

Inputs

(/.f64 x (+.f64 x (*.f64 y (exp.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t) (*.f64 (-.f64 b c) (-.f64 (+.f64 a (/.f64 #s(literal 5 binary64) #s(literal 6 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 t #s(literal 3 binary64)))))))))))

Outputs
(/.f64 x (+.f64 x (.f64 y (exp.f64 (.f64 #s(literal 2 binary64) (-.f64 (/.f64 (.f64 z (sqrt.f64 (+.f64 t a))) t) (.f64 (-.f64 b c) (-.f64 (+.f64 a (/.f64 #s(literal 5 binary64) #s(literal 6 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 t #s(literal 3 binary64)))))))))))
(/.f64 x (fma.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 c b) (-.f64 (-.f64 a (/.f64 #s(literal 2/3 binary64) t)) #s(literal -5/6 binary64)) (*.f64 (/.f64 z t) (sqrt.f64 (+.f64 a t))))) y x))

Outputs

(/.f64 x (+.f64 x (*.f64 y (exp.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t) (*.f64 (-.f64 b c) (-.f64 (+.f64 a (/.f64 #s(literal 5 binary64) #s(literal 6 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 t #s(literal 3 binary64)))))))))))

(/.f64 x (fma.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 c b) (-.f64 (-.f64 a (/.f64 #s(literal 2/3 binary64) t)) #s(literal -5/6 binary64)) (*.f64 (/.f64 z t) (sqrt.f64 (+.f64 a t))))) y x))

Compiler

Compiled 33 to 28 computations (15.2% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 7 computations (-∞% saved)

prune1.0ms (0.1%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.7%	(/.f64 x (+.f64 x (.f64 y (exp.f64 (.f64 #s(literal 2 binary64) (-.f64 (/.f64 (.f64 z (sqrt.f64 (+.f64 t a))) t) (.f64 (-.f64 b c) (-.f64 (+.f64 a (/.f64 #s(literal 5 binary64) #s(literal 6 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 t #s(literal 3 binary64)))))))))))

Status

Accuracy

Program

95.7%

(/.f64 x (+.f64 x (*.f64 y (exp.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t) (*.f64 (-.f64 b c) (-.f64 (+.f64 a (/.f64 #s(literal 5 binary64) #s(literal 6 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 t #s(literal 3 binary64)))))))))))

Compiler

Compiled 66 to 56 computations (15.2% saved)

simplify40.0ms (4.5%)

Memory

0.8MiB live, 19.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	33
1	45	33
2	70	33
3	103	33
4	158	33
5	223	33
6	295	33
7	469	33
8	668	33
9	727	33
10	772	33
11	813	33
12	850	33
13	868	33
14	872	33

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 x (+.f64 x (.f64 y (exp.f64 (.f64 #s(literal 2 binary64) (-.f64 (/.f64 (.f64 z (sqrt.f64 (+.f64 t a))) t) (.f64 (-.f64 b c) (-.f64 (+.f64 a (/.f64 #s(literal 5 binary64) #s(literal 6 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 t #s(literal 3 binary64)))))))))))

Inputs

(/.f64 x (+.f64 x (*.f64 y (exp.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t) (*.f64 (-.f64 b c) (-.f64 (+.f64 a (/.f64 #s(literal 5 binary64) #s(literal 6 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 t #s(literal 3 binary64)))))))))))

Outputs
(/.f64 x (+.f64 x (.f64 y (exp.f64 (.f64 #s(literal 2 binary64) (-.f64 (/.f64 (.f64 z (sqrt.f64 (+.f64 t a))) t) (.f64 (-.f64 b c) (-.f64 (+.f64 a (/.f64 #s(literal 5 binary64) #s(literal 6 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 t #s(literal 3 binary64)))))))))))
(/.f64 x (+.f64 (.f64 (exp.f64 (.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 a t)) z) t) (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 3 binary64) t)) (+.f64 (/.f64 #s(literal 5 binary64) #s(literal 6 binary64)) a)) (-.f64 c b))) #s(literal 2 binary64))) y) x))

Outputs

(/.f64 x (+.f64 x (*.f64 y (exp.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t) (*.f64 (-.f64 b c) (-.f64 (+.f64 a (/.f64 #s(literal 5 binary64) #s(literal 6 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 t #s(literal 3 binary64)))))))))))

(/.f64 x (+.f64 (*.f64 (exp.f64 (*.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 a t)) z) t) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 3 binary64) t)) (+.f64 (/.f64 #s(literal 5 binary64) #s(literal 6 binary64)) a)) (-.f64 c b))) #s(literal 2 binary64))) y) x))

soundness1.0ms (0.1%)

Memory

-7.6MiB live, 0.3MiB allocated

Stop Event

1×

fuel

Compiler

Compiled 33 to 28 computations (15.2% saved)

preprocess10.0ms (1.1%)

Memory: 6.6MiB live, 6.6MiB allocated
Compiler: Compiled 376 to 242 computations (35.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	28	33
1	45	33
2	70	33
3	103	33
4	158	33
5	223	33
6	295	33
7	469	33
8	668	33
9	727	33
10	772	33
11	813	33
12	850	33
13	868	33
14	872	33

Iter	Nodes	Cost
0	28	33
1	45	33
2	70	33
3	103	33
4	158	33
5	223	33
6	295	33
7	469	33
8	668	33
9	727	33
10	772	33
11	813	33
12	850	33
13	868	33
14	872	33

start0.0ms (0%)

analyze561.0ms (62.9%)

sample78.0ms (8.8%)

explain57.0ms (6.4%)

preprocess143.0ms (16.1%)

eval0.0ms (0%)

prune1.0ms (0.1%)

simplify40.0ms (4.5%)

soundness1.0ms (0.1%)

preprocess10.0ms (1.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	28	33
1	45	33
2	70	33
3	103	33
4	158	33
5	223	33
6	295	33
7	469	33
8	668	33
9	727	33
10	772	33
11	813	33
12	850	33
13	868	33
14	872	33