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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0.3%)

Memory

-38.4MiB live, 0.4MiB allocated

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)

sample567.0ms (76.9%)

Memory

-5.8MiB live, 820.0MiB allocated

Samples

363.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 194.0ms

ival-mult: 116.0ms (59.8% of total)

ival-exp: 68.0ms (35% of total)

ival-true: 6.0ms (3.1% of total)

ival-assert: 4.0ms (2.1% of total)

Bogosity

explain57.0ms (7.8%)

Memory

10.5MiB live, 87.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(exp.f64 (*.f64 y y))`
0	-	-	`y`
0	-	-	`(*.f64 y y)`
0	-	-	`(.f64 x (exp.f64 (.f64 y y)))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`exp.f64`	`(exp.f64 (*.f64 y y))`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	0	0
-	1	255

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	1	0	255

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

23.0ms

512×

valid

Compiler

Compiled 55 to 24 computations (56.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 7.0ms (59.9% of total)

ival-exp: 4.0ms (34.2% of total)

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

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

preprocess3.0ms (0.4%)

Memory

5.6MiB live, 5.6MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

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

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

Compiler

Compiled 6 to 5 computations (16.7% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0.1%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 y y)
cost-diff	0	(exp.f64 (*.f64 y y))
cost-diff	0	(.f64 x (exp.f64 (.f64 y y)))

Calls

Call 1

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

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

localize19.0ms (2.6%)

Memory

-16.8MiB live, 26.2MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y y)
accuracy	0.0078125	(.f64 x (exp.f64 (.f64 y y)))
accuracy	0.02664132407193433	(exp.f64 (*.f64 y y))

Samples

14.0ms

256×

valid

Compiler

Compiled 32 to 12 computations (62.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-exp: 5.0ms (60% of total)

ival-mult: 3.0ms (36% of total)

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

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

series4.0ms (0.5%)

Memory

6.2MiB live, 6.2MiB allocated

Counts

3 → 11

Calls

Call 1

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

Outputs
(* x (exp (pow y 2)))
x
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
1
(+ 1 (pow y 2))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(pow y 2)
(exp (pow y 2))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	((* x (exp (* y y))) (exp (* y y)) (* y y))
1.0ms	x	@	0	((* x (exp (* y y))) (exp (* y y)) (* y y))
1.0ms	y	@	inf	((* x (exp (* y y))) (exp (* y y)) (* y y))
1.0ms	x	@	inf	((* x (exp (* y y))) (exp (* y y)) (* y y))
1.0ms	x	@	-inf	((* x (exp (* y y))) (exp (* y y)) (* y y))

simplify0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	egg-herbie

Counts

11 → 3

Calls

Call 1

Inputs
(* x (exp (pow y 2)))
x
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
1
(+ 1 (pow y 2))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(pow y 2)
(exp (pow y 2))

Outputs
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
x
(exp.f64 (*.f64 y y))
(+ x (* x (pow y 2)))
(*.f64 y y)

rewrite0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

eval1.0ms (0.1%)

Memory: 1.2MiB live, 1.2MiB allocated
Compiler: Compiled 52 to 11 computations (78.8% saved)

prune1.0ms (0.2%)

Memory

2.2MiB live, 2.2MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	4	2	6
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	4	3	7

Accuracy

100.0%

Counts

7 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
▶	14.6%	#s(approx (* x (exp (* y y))) (*.f64 y y))
▶	26.9%	#s(approx (* x (exp (* y y))) (exp.f64 (*.f64 y y)))

Compiler

Compiled 27 to 20 computations (25.9% saved)

simplify0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 y y)
cost-diff	0	#s(approx (* x (exp (* y y))) (*.f64 y y))
cost-diff	0	(*.f64 y y)
cost-diff	0	(exp.f64 (*.f64 y y))
cost-diff	0	#s(approx (* x (exp (* y y))) (exp.f64 (*.f64 y y)))

Calls

Call 1

Inputs
#s(approx (* x (exp (* y y))) (exp.f64 (*.f64 y y)))
(exp.f64 (*.f64 y y))
(*.f64 y y)
y
#s(approx (* x (exp (* y y))) (*.f64 y y))
(*.f64 y y)
y

Outputs
#s(approx (* x (exp (* y y))) (exp.f64 (*.f64 y y)))
(exp.f64 (*.f64 y y))
(*.f64 y y)
y
#s(approx (* x (exp (* y y))) (*.f64 y y))
(*.f64 y y)
y

localize19.0ms (2.5%)

Memory

-8.2MiB live, 30.0MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y y)
accuracy	54.635697854483844	#s(approx (* x (exp (* y y))) (*.f64 y y))
accuracy	0.0	(*.f64 y y)
accuracy	0.02664132407193433	(exp.f64 (*.f64 y y))
accuracy	46.800327527091376	#s(approx (* x (exp (* y y))) (exp.f64 (*.f64 y y)))

Samples

14.0ms

256×

valid

Compiler

Compiled 59 to 16 computations (72.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 5.0ms (70.7% of total)

ival-exp: 2.0ms (28.3% of total)

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

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

series2.0ms (0.3%)

Memory

5.1MiB live, 5.1MiB allocated

Counts

4 → 11

Calls

Call 1

Inputs
#s(approx (* x (exp (* y y))) (exp.f64 (*.f64 y y)))
(exp.f64 (*.f64 y y))
(*.f64 y y)
#s(approx (* x (exp (* y y))) (*.f64 y y))

Outputs
(* x (exp (pow y 2)))
x
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
1
(+ 1 (pow y 2))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(pow y 2)
(exp (pow y 2))

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	((* x (exp (* y y))) (exp (* y y)) (* y y) (* x (exp (* y y))))
0.0ms	y	@	-inf	((* x (exp (* y y))) (exp (* y y)) (* y y) (* x (exp (* y y))))
0.0ms	y	@	inf	((* x (exp (* y y))) (exp (* y y)) (* y y) (* x (exp (* y y))))
0.0ms	x	@	0	((* x (exp (* y y))) (exp (* y y)) (* y y) (* x (exp (* y y))))
0.0ms	x	@	inf	((* x (exp (* y y))) (exp (* y y)) (* y y) (* x (exp (* y y))))

simplify0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	egg-herbie

Counts

11 → 4

Calls

Call 1

Inputs
(* x (exp (pow y 2)))
x
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
1
(+ 1 (pow y 2))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(pow y 2)
(exp (pow y 2))

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

rewrite0.0ms (0.1%)

Memory

0.8MiB live, 0.8MiB allocated

Counts

4 → 4

Calls

Call 1

Inputs
#s(approx (* x (exp (* y y))) (exp.f64 (*.f64 y y)))
(exp.f64 (*.f64 y y))
(*.f64 y y)
#s(approx (* x (exp (* y y))) (*.f64 y y))

Outputs
#s(approx (* x (exp (* y y))) (exp.f64 (*.f64 y y)))
(exp.f64 (*.f64 y y))
(*.f64 y y)
#s(approx (* x (exp (* y y))) (*.f64 y y))

eval1.0ms (0.1%)

Memory: 2.0MiB live, 2.0MiB allocated
Compiler: Compiled 88 to 11 computations (87.5% saved)

prune2.0ms (0.3%)

Memory

4.4MiB live, 4.4MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	7	0	7
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	7	3	10

Accuracy

100.0%

Counts

10 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
✓	14.6%	#s(approx (* x (exp (* y y))) (*.f64 y y))
✓	26.9%	#s(approx (* x (exp (* y y))) (exp.f64 (*.f64 y y)))

Compiler

Compiled 54 to 30 computations (44.4% saved)

regimes9.0ms (1.3%)

Memory

-19.9MiB live, 18.7MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
#s(approx (* x (exp (* y y))) (*.f64 y y))
#s(approx (* x (exp (* y y))) (exp.f64 (*.f64 y y)))
(.f64 x (exp.f64 (.f64 y y)))

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes7.0ms (0.9%)

Memory

17.4MiB live, 17.4MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (* x (exp (* y y))) (*.f64 y y))
#s(approx (* x (exp (* y y))) (exp.f64 (*.f64 y y)))

Outputs
#s(approx (* x (exp (* y y))) (exp.f64 (*.f64 y y)))

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
26.9%	1	`x`
26.9%	1	`y`
26.9%	1	`(.f64 x (exp.f64 (.f64 y y)))`
26.9%	1	`(exp.f64 (*.f64 y y))`
26.9%	1	`(*.f64 y y)`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes6.0ms (0.8%)

Memory

-24.0MiB live, 15.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (* x (exp (* y y))) (*.f64 y y))

Outputs
#s(approx (* x (exp (* y y))) (*.f64 y y))

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
14.6%	1	`(exp.f64 (*.f64 y y))`
14.6%	1	`(*.f64 y y)`
14.6%	1	`y`
14.6%	1	`x`
14.6%	1	`(.f64 x (exp.f64 (.f64 y y)))`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify4.0ms (0.6%)

Memory

11.5MiB live, 11.5MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

Inputs
(.f64 x (exp.f64 (.f64 y y)))
#s(approx (* x (exp (* y y))) (exp.f64 (*.f64 y y)))
#s(approx (* x (exp (* y y))) (*.f64 y y))

Outputs
(.f64 x (exp.f64 (.f64 y y)))
#s(approx (* x (exp (* y y))) (exp.f64 (*.f64 y y)))
#s(approx (* x (exp (* y y))) (*.f64 y y))

soundness1.0ms (0.1%)

Memory

1.8MiB live, 1.8MiB allocated

Stop Event

1×

done

Compiler

Compiled 27 to 10 computations (63% saved)

preprocess30.0ms (4.1%)

Memory: -14.8MiB live, 62.6MiB allocated
Compiler: Compiled 78 to 40 computations (48.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze2.0ms (0.3%)

sample567.0ms (76.9%)

explain57.0ms (7.8%)

preprocess3.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0.1%)

simplify0.0ms (0%)

localize19.0ms (2.6%)

series4.0ms (0.5%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval1.0ms (0.1%)

prune1.0ms (0.2%)

simplify0.0ms (0%)

localize19.0ms (2.5%)

series2.0ms (0.3%)

simplify0.0ms (0%)

rewrite0.0ms (0.1%)

eval1.0ms (0.1%)

prune2.0ms (0.3%)

regimes9.0ms (1.3%)

regimes7.0ms (0.9%)

regimes6.0ms (0.8%)

simplify4.0ms (0.6%)

soundness1.0ms (0.1%)

preprocess30.0ms (4.1%)

end0.0ms (0%)

Profiling