Metrics for Data.Spline.Key:interpolateKeys from smoothie-0.4.0.2

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
100%	100%	0%	0%	0%	0%	0%	1

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample565.0ms (77%)

Memory

10.3MiB live, 835.5MiB allocated

Samples

342.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 207.0ms

ival-mult: 151.0ms (72.8% of total)

ival-sub: 42.0ms (20.3% of total)

exact: 7.0ms (3.4% of total)

ival-true: 5.0ms (2.4% of total)

ival-assert: 3.0ms (1.4% of total)

Bogosity

explain79.0ms (10.8%)

Memory

7.9MiB live, 122.3MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))`
-	-	`(*.f64 x #s(literal 2 binary64))`
-	-	`#s(literal 2 binary64)`
-	-	`#s(literal 3 binary64)`
-	-	`(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))`
-	-	`(*.f64 x x)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

37.0ms

512×

valid

Compiler

Compiled 82 to 32 computations (61% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 9.0ms (71.4% of total)

ival-sub: 2.0ms (15.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess2.0ms (0.3%)

Memory

4.2MiB live, 4.2MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

Inputs
(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))

Outputs
(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0.1%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify0.0ms (0.1%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x #s(literal 2 binary64))
cost-diff	0	(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))

Calls

Call 1

Inputs
(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(*.f64 x x)
x
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
#s(literal 3 binary64)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

Outputs
(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(*.f64 x x)
x
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
#s(literal 3 binary64)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

localize19.0ms (2.6%)

Memory

-15.2MiB live, 30.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(*.f64 x #s(literal 2 binary64))
accuracy	0.171875	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))

Samples

14.0ms

256×

valid

Compiler

Compiled 48 to 16 computations (66.7% saved)

Precisions

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

ival-mult: 7.0ms (83.9% of total)

ival-sub: 1.0ms (12% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.5%)

Memory

6.0MiB live, 6.0MiB allocated

Counts

4 → 12

Calls

Call 1

Inputs
(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(*.f64 x x)
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))

Outputs
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(pow x 2)
3
(+ 3 (* -2 x))
(* 2 x)
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 x)
(* x (- (* 3 (/ 1 x)) 2))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((* (* x x) (- 3 (* x 2))) (* x x) (- 3 (* x 2)) (* x 2))
1.0ms	x	@	-inf	((* (* x x) (- 3 (* x 2))) (* x x) (- 3 (* x 2)) (* x 2))
1.0ms	x	@	0	((* (* x x) (- 3 (* x 2))) (* x x) (- 3 (* x 2)) (* x 2))

simplify0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	egg-herbie

Counts

12 → 4

Calls

Call 1

Inputs
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(pow x 2)
3
(+ 3 (* -2 x))
(* 2 x)
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 x)
(* x (- (* 3 (/ 1 x)) 2))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))

Outputs
(* 3 (pow x 2))
(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x x)
(pow x 2)
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
3
(*.f64 x #s(literal 2 binary64))

rewrite0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Counts

4 → 4

Calls

Call 1

Inputs
(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(*.f64 x x)
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))

Outputs
(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(*.f64 x x)
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))

eval1.0ms (0.1%)

Memory: 1.8MiB live, 1.8MiB allocated
Compiler: Compiled 96 to 19 computations (80.2% saved)

prune1.0ms (0.2%)

Memory

2.7MiB live, 2.7MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	6	2	8
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	6	3	9

Accuracy

99.7%

Counts

9 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
▶	24.6%	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal 2 binary64))))
▶	40.5%	#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x x))

Status

Accuracy

Program

✓

99.7%

(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))

▶

24.6%

(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal 2 binary64))))

▶

40.5%

#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x x))

Compiler

Compiled 35 to 26 computations (25.7% saved)

simplify0.0ms (0.1%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x #s(literal 2 binary64))
cost-diff	0	#s(approx (- 3 (* x 2)) (*.f64 x #s(literal 2 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal 2 binary64))))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x x))

Calls

Call 1

Inputs
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x x))
(*.f64 x x)
x
(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal 2 binary64))))
(*.f64 x x)
x
#s(approx (- 3 (* x 2)) (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

Outputs
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x x))
(*.f64 x x)
x
(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal 2 binary64))))
(*.f64 x x)
x
#s(approx (- 3 (* x 2)) (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

localize19.0ms (2.7%)

Memory

-6.2MiB live, 32.4MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(*.f64 x #s(literal 2 binary64))
accuracy	0.171875	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal 2 binary64))))
accuracy	62.554661214283364	#s(approx (- 3 (* x 2)) (*.f64 x #s(literal 2 binary64)))
accuracy	0.0	(*.f64 x x)
accuracy	38.09176572000175	#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x x))

Samples

13.0ms

256×

valid

Compiler

Compiled 84 to 22 computations (73.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 5.0ms (80.6% of total)

ival-sub: 1.0ms (16.1% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0.3%)

Memory

4.1MiB live, 4.1MiB allocated

Counts

5 → 12

Calls

Call 1

Inputs
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x x))
(*.f64 x x)
(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal 2 binary64))))
#s(approx (- 3 (* x 2)) (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))

Outputs
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(pow x 2)
3
(+ 3 (* -2 x))
(* 2 x)
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 x)
(* x (- (* 3 (/ 1 x)) 2))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((* (* x x) (- 3 (* x 2))) (* x x) (* (* x x) (- 3 (* x 2))) (- 3 (* x 2)) (* x 2))
1.0ms	x	@	-inf	((* (* x x) (- 3 (* x 2))) (* x x) (* (* x x) (- 3 (* x 2))) (- 3 (* x 2)) (* x 2))
0.0ms	x	@	0	((* (* x x) (- 3 (* x 2))) (* x x) (* (* x x) (- 3 (* x 2))) (- 3 (* x 2)) (* x 2))

Time

Variable

Point

Expression

1.0ms

inf

((* (* x x) (- 3 (* x 2))) (* x x) (* (* x x) (- 3 (* x 2))) (- 3 (* x 2)) (* x 2))

1.0ms

-inf

((* (* x x) (- 3 (* x 2))) (* x x) (* (* x x) (- 3 (* x 2))) (- 3 (* x 2)) (* x 2))

0.0ms

((* (* x x) (- 3 (* x 2))) (* x x) (* (* x x) (- 3 (* x 2))) (- 3 (* x 2)) (* x 2))

simplify0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	egg-herbie

Counts

12 → 5

Calls

Call 1

Inputs
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(pow x 2)
3
(+ 3 (* -2 x))
(* 2 x)
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 x)
(* x (- (* 3 (/ 1 x)) 2))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))

Outputs
(* 3 (pow x 2))
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x x))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x x)
(pow x 2)
(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal 2 binary64))))
3
#s(approx (- 3 (* x 2)) (*.f64 x #s(literal 2 binary64)))
(+ 3 (* -2 x))
(*.f64 x #s(literal 2 binary64))

rewrite0.0ms (0.1%)

Memory

0.7MiB live, 0.7MiB allocated

Counts

5 → 5

Calls

Call 1

Inputs
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x x))
(*.f64 x x)
(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal 2 binary64))))
#s(approx (- 3 (* x 2)) (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))

Outputs
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x x))
(*.f64 x x)
(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal 2 binary64))))
#s(approx (- 3 (* x 2)) (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))

eval1.0ms (0.1%)

Memory: 2.2MiB live, 2.2MiB allocated
Compiler: Compiled 174 to 19 computations (89.1% saved)

prune3.0ms (0.4%)

Memory

-34.5MiB live, 4.4MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	10	0	10
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	10	3	13

Accuracy

99.7%

Counts

13 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
✓	24.6%	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal 2 binary64))))
✓	40.5%	#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x x))

Status

Accuracy

Program

✓

99.7%

(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))

✓

24.6%

(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal 2 binary64))))

✓

40.5%

#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x x))

Compiler

Compiled 70 to 42 computations (40% saved)

regimes3.0ms (0.5%)

Memory

7.6MiB live, 7.6MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x x))

(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal 2 binary64))))

(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))

Outputs
(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))

Calls

2 calls:

2.0ms	x
2.0ms	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes3.0ms (0.4%)

Memory

6.7MiB live, 6.7MiB allocated

Accuracy

Total -10.2b remaining (-26.7%)

Threshold costs -10.2b (-26.7%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x x))
(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal 2 binary64))))

Outputs
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x x))

Calls

2 calls:

1.0ms	x
1.0ms	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))

Results

Accuracy	Segments	Branch
40.5%	1	`x`
40.5%	1	`(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))`

Compiler

Compiled 10 to 8 computations (20% saved)

simplify4.0ms (0.6%)

Memory

9.6MiB live, 9.6MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

Inputs
(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x x))

Outputs
(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x x))

soundness0.0ms (0.1%)

Memory

0.9MiB live, 0.9MiB allocated

Stop Event

1×

done

Compiler

Compiled 22 to 14 computations (36.4% saved)

preprocess23.0ms (3.2%)

Memory: 0.4MiB live, 39.1MiB allocated
Compiler: Compiled 80 to 56 computations (30% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample565.0ms (77%)

explain79.0ms (10.8%)

preprocess2.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0.1%)

simplify0.0ms (0.1%)

localize19.0ms (2.6%)

series3.0ms (0.5%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval1.0ms (0.1%)

prune1.0ms (0.2%)

simplify0.0ms (0.1%)

localize19.0ms (2.7%)

series2.0ms (0.3%)

simplify0.0ms (0%)

rewrite0.0ms (0.1%)

eval1.0ms (0.1%)

prune3.0ms (0.4%)

regimes3.0ms (0.5%)

regimes3.0ms (0.4%)

simplify4.0ms (0.6%)

soundness0.0ms (0.1%)

preprocess23.0ms (3.2%)

end0.0ms (0%)

Profiling