Metrics for Data.Number.Erf:$dmerfcx from erf-2.0.0.0

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

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 8 to 7 computations (12.5% saved)

sample568.0ms (41.5%)

Memory

34.0MiB live, 1 078.8MiB allocated; 159ms collecting garbage

Samples

388.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 160.0ms

ival-mult!: 90.0ms (56.1% of total)

ival-exp: 69.0ms (43% of total)

adjust: 2.0ms (1.2% of total)

Bogosity

preprocess74.0ms (5.4%)

Memory

-18.3MiB live, 66.1MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	38
1	65	38
2	199	38
3	672	38
4	5858	38

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 x (exp.f64 (.f64 y y)))

Symmetry

(abs y)

(negabs x)

Compiler

Compiled 12 to 10 computations (16.7% saved)

series105.0ms (7.6%)

Memory

-0.7MiB live, 95.7MiB allocated; 42ms collecting garbage

Counts

5 → 12

Calls

Call 1

Inputs
(.f64 x (exp.f64 (.f64 y y)))
x
(exp.f64 (*.f64 y y))
(*.f64 y y)
y

Outputs
#s(approx (* x (exp (* y y))) (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
#s(approx x x)
#s(approx (* x (exp (* y y))) (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
#s(approx (* x (exp (* y y))) (+.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))))))
#s(approx (* x (exp (* y y))) (+.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) x)))))))
#s(approx (exp (* y y)) #s(literal 1 binary64))
#s(approx (exp (* y y)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
#s(approx (exp (* y y)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (exp (* y y)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 2 binary64)))))))))
#s(approx (* y y) (pow.f64 y #s(literal 2 binary64)))
#s(approx y y)
#s(approx (exp (* y y)) (exp.f64 (pow.f64 y #s(literal 2 binary64))))

Calls

6 calls:

Time	Variable	Point
1.0ms	x	-inf
1.0ms	x	inf
1.0ms	y	inf
1.0ms	x	0
1.0ms	y	-inf

rewrite136.0ms (9.9%)

Memory

45.3MiB live, 137.6MiB allocated; 16ms collecting garbage

Counts

5 → 12

Calls

Call 1

Inputs
(.f64 x (exp.f64 (.f64 y y)))
x
(exp.f64 (*.f64 y y))
(*.f64 y y)
y

Outputs
(.f64 (exp.f64 (.f64 y y)) x)
(.f64 x (exp.f64 (.f64 y y)))
x
(fabs.f64 (exp.f64 (*.f64 y y)))
(+.f64 (cosh.f64 (.f64 y y)) (sinh.f64 (.f64 y y)))
(exp.f64 (*.f64 y y))
(pow.f64 (exp.f64 y) y)
(*.f64 y y)
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 (neg.f64 y) (neg.f64 y))
(pow.f64 y #s(literal 2 binary64))
y

eval115.0ms (8.4%)

Memory: -61.5MiB live, 4.4MiB allocated; 164ms collecting garbage
Compiler: Compiled 235 to 78 computations (66.8% saved)

prune1.0ms (0.1%)

Memory

2.6MiB live, 2.6MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	17	2	19
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	3	20

Accuracy

100.0%

Counts

20 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 x (pow.f64 (exp.f64 y) y))
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
▶	50.1%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))

Compiler

Compiled 20 to 17 computations (15% saved)

series156.0ms (11.4%)

Memory

29.5MiB live, 222.1MiB allocated; 40ms collecting garbage

Counts

8 → 15

Calls

Call 1

Inputs
(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
x
#s(approx (exp (* y y)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x (pow.f64 (exp.f64 y) y))
(pow.f64 (exp.f64 y) y)
(exp.f64 y)
y

Outputs
#s(approx (* x (exp (* y y))) (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
#s(approx x x)
#s(approx (* x (exp (* y y))) (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
#s(approx (* x (exp (* y y))) (+.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))))))
#s(approx (* x (exp (* y y))) (+.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) x)))))))
#s(approx (exp (* y y)) #s(literal 1 binary64))
#s(approx (exp (* y y)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
#s(approx (exp (* y y)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (exp (* y y)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 2 binary64)))))))))
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
#s(approx (exp y) (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) y)))))
#s(approx (exp y) (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)))))))
#s(approx y y)
#s(approx (exp (* y y)) (exp.f64 (pow.f64 y #s(literal 2 binary64))))
#s(approx (exp y) (exp.f64 y))

Calls

6 calls:

Time	Variable	Point
47.0ms	x	0
10.0ms	x	-inf
7.0ms	x	inf
1.0ms	y	0
0.0ms	y	-inf

rewrite140.0ms (10.2%)

Memory

17.4MiB live, 152.2MiB allocated; 46ms collecting garbage

Counts

8 → 16

Calls

Call 1

Inputs
(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
x
#s(approx (exp (* y y)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x (pow.f64 (exp.f64 y) y))
(pow.f64 (exp.f64 y) y)
(exp.f64 y)
y

Outputs
(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
x
#s(approx (exp (* y y)) #s(literal 1 binary64))
#s(literal 1 binary64)
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
(.f64 x (exp.f64 (.f64 y y)))
(.f64 (exp.f64 (.f64 y y)) x)
(fabs.f64 (exp.f64 (*.f64 y y)))
(+.f64 (cosh.f64 (.f64 y y)) (sinh.f64 (.f64 y y)))
(exp.f64 (*.f64 y y))
(pow.f64 (exp.f64 y) y)
(fabs.f64 (exp.f64 y))
(+.f64 (cosh.f64 y) (sinh.f64 y))
(exp.f64 y)
y

eval16.0ms (1.1%)

Memory: -41.1MiB live, 4.9MiB allocated; 19ms collecting garbage
Compiler: Compiled 288 to 105 computations (63.5% saved)

prune1.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	22	3	25

Accuracy

100.0%

Counts

25 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 x (pow.f64 (exp.f64 y) y))
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
✓	50.1%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))

Compiler

Compiled 20 to 17 computations (15% saved)

regimes21.0ms (1.5%)

Memory

2.6MiB live, 48.8MiB allocated; 3ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

2 → 1

3 → 1

Calls

Call 1

Inputs
(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))

Outputs
(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))

Call 2

Inputs
(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
(.f64 x (exp.f64 (.f64 y y)))

Outputs
(.f64 x (exp.f64 (.f64 y y)))

Call 3

Inputs
(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
(.f64 x (exp.f64 (.f64 y y)))
(*.f64 x (pow.f64 (exp.f64 y) y))

Outputs
(*.f64 x (pow.f64 (exp.f64 y) y))

Calls

15 calls:

3.0ms	(exp.f64 (*.f64 y y))
2.0ms	x
1.0ms	y
1.0ms	(.f64 x (exp.f64 (.f64 y y)))
1.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
50.1%	1	`(*.f64 y y)`
50.1%	1	`(exp.f64 (*.f64 y y))`
50.1%	1	`(.f64 x (exp.f64 (.f64 y y)))`
50.1%	1	`x`
50.1%	1	`y`
100.0%	1	`(*.f64 y y)`
100.0%	1	`(exp.f64 (*.f64 y y))`
100.0%	1	`(.f64 x (exp.f64 (.f64 y y)))`
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(*.f64 y y)`
100.0%	1	`(exp.f64 (*.f64 y y))`
100.0%	1	`(.f64 x (exp.f64 (.f64 y y)))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 65 to 61 computations (6.2% saved)

derivations1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 20 to 13 computations (35% saved)

preprocess37.0ms (2.7%)

Memory

17.0MiB live, 62.6MiB allocated; 4ms collecting garbage

Remove

(negabs x)

(abs y)

Compiler

Compiled 106 to 86 computations (18.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze0.0ms (0%)

sample568.0ms (41.5%)

preprocess74.0ms (5.4%)

series105.0ms (7.6%)

rewrite136.0ms (9.9%)

eval115.0ms (8.4%)

prune1.0ms (0.1%)

series156.0ms (11.4%)

rewrite140.0ms (10.2%)

eval16.0ms (1.1%)

prune1.0ms (0.1%)

regimes21.0ms (1.5%)

derivations1.0ms (0%)

preprocess37.0ms (2.7%)

end0.0ms (0%)

Profiling