Metrics for ENA, Section 1.4, Mentioned, B

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze5.0ms (0.4%)

Memory

10.8MiB live, 10.8MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
0%	0%	0%	100%	0%	0%	0%	1
0%	0%	0%	100%	0%	0%	0%	2
25%	0%	0%	100%	0%	0%	0%	3
62.5%	0%	0%	100%	0%	0%	0%	4
81.3%	0%	0%	100%	0%	0%	0%	5
90.6%	0%	0%	100%	0%	0%	0%	6
95.3%	0%	0%	100%	0%	0%	0%	7
97.7%	0%	0%	100%	0%	0%	0%	8
98.8%	0%	0%	100%	0%	0%	0%	9
99.4%	0%	0%	100%	0%	0%	0%	10
99.7%	0%	0%	100%	0%	0%	0%	11
99.9%	0%	0%	100%	0%	0%	0%	12

Compiler

Compiled 15 to 12 computations (20% saved)

sample926.0ms (84.8%)

Memory

50.5MiB live, 1 243.1MiB allocated

Samples

638.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 456.0ms

const: 218.0ms (47.8% of total)

ival-mult: 71.0ms (15.6% of total)

ival-div: 55.0ms (12.1% of total)

ival-<=: 53.0ms (11.6% of total)

ival-sub: 39.0ms (8.5% of total)

ival-and: 10.0ms (2.2% of total)

exact: 7.0ms (1.5% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain67.0ms (6.1%)

Memory

18.5MiB live, 104.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
241	15	(0.9990850901481817)	-	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
0	0	-	-	`(/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(*.f64 x x)`
0	0	-	-	`#s(literal 10 binary64)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`	cancellation	256	0

Confusion

	Predicted +	Predicted -
+	239	0
-	17	0

Precision

0.93359375

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	239	0	0
-	17	0	0

Precision?

0.93359375

Recall?

1.0

Freqs

test

number	freq
1	256

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

22.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 4.0ms (36.8% of total)

ival-div: 3.0ms (27.6% of total)

ival-sub: 2.0ms (18.4% of total)

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

exact: 0.0ms (0% of total)

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

preprocess5.0ms (0.4%)

Memory

-33.9MiB live, 4.5MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

Inputs
(/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))

Outputs
(/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	87.8%	(/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x x)
cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 x x))
cost-diff	0	(/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))

Calls

Call 1

Inputs
(/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(literal 10 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x

Outputs
(/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(literal 10 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x

localize16.0ms (1.4%)

Memory

23.0MiB live, 23.0MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.28125	(/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
accuracy	7.7800914151612	(-.f64 #s(literal 1 binary64) (*.f64 x x))

Samples

11.0ms

256×

valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 2.0ms (38.1% of total)

ival-mult: 2.0ms (38.1% of total)

ival-sub: 1.0ms (19% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0.2%)

Memory

3.0MiB live, 3.0MiB allocated

Counts

3 → 13

Calls

Call 1

Inputs
(/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)

Outputs
10
(+ 10 (* 10 (pow x 2)))
(+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2)))))
(+ 10 (* (pow x 2) (+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2)))))))
1
(+ 1 (* -1 (pow x 2)))
(pow x 2)
(/ -10 (pow x 2))
(* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (pow x 2))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((/ 10 (- 1 (* x x))) (- 1 (* x x)) (* x x))
1.0ms	x	@	0	((/ 10 (- 1 (* x x))) (- 1 (* x x)) (* x x))
0.0ms	x	@	-inf	((/ 10 (- 1 (* x x))) (- 1 (* x x)) (* x x))

simplify0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	egg-herbie

Counts

13 → 3

Calls

Call 1

Inputs
10
(+ 10 (* 10 (pow x 2)))
(+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2)))))
(+ 10 (* (pow x 2) (+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2)))))))
1
(+ 1 (* -1 (pow x 2)))
(pow x 2)
(/ -10 (pow x 2))
(* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (pow x 2))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))

Outputs
10
(/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(+ 10 (* 10 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2)))))
(*.f64 x x)

rewrite0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
(/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)

Outputs
(/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)

eval1.0ms (0.1%)

Memory: 1.3MiB live, 1.3MiB allocated
Compiler: Compiled 60 to 14 computations (76.7% saved)

prune1.0ms (0.1%)

Memory

2.3MiB live, 2.3MiB 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

87.8%

Counts

7 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	87.8%	(/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
▶	11.6%	#s(approx (/ 10 (- 1 (* x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
▶	9.2%	#s(approx (/ 10 (- 1 (* x x))) (*.f64 x x))

Compiler

Compiled 31 to 24 computations (22.6% saved)

simplify0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x x)
cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 x x))
cost-diff	0	#s(approx (/ 10 (- 1 (* x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (/ 10 (- 1 (* x x))) (*.f64 x x))

Calls

Call 1

Inputs
#s(approx (/ 10 (- 1 (* x x))) (*.f64 x x))
(*.f64 x x)
x
#s(approx (/ 10 (- 1 (* x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x

Outputs
#s(approx (/ 10 (- 1 (* x x))) (*.f64 x x))
(*.f64 x x)
x
#s(approx (/ 10 (- 1 (* x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x

localize18.0ms (1.7%)

Memory

-12.7MiB live, 25.6MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	7.7800914151612	(-.f64 #s(literal 1 binary64) (*.f64 x x))
accuracy	56.5808036392625	#s(approx (/ 10 (- 1 (* x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
accuracy	0.0	(*.f64 x x)
accuracy	58.11742817867931	#s(approx (/ 10 (- 1 (* x x))) (*.f64 x x))

Samples

13.0ms

256×

valid

Compiler

Compiled 68 to 19 computations (72.1% saved)

Precisions

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

ival-mult: 4.0ms (56.4% of total)

ival-div: 2.0ms (28.2% of total)

ival-sub: 1.0ms (14.1% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0.1%)

Memory

2.2MiB live, 2.2MiB allocated

Counts

4 → 13

Calls

Call 1

Inputs
#s(approx (/ 10 (- 1 (* x x))) (*.f64 x x))
(*.f64 x x)
#s(approx (/ 10 (- 1 (* x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))

Outputs
10
(+ 10 (* 10 (pow x 2)))
(+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2)))))
(+ 10 (* (pow x 2) (+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2)))))))
(pow x 2)
1
(+ 1 (* -1 (pow x 2)))
(/ -10 (pow x 2))
(* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (pow x 2))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	((/ 10 (- 1 (* x x))) (* x x) (/ 10 (- 1 (* x x))) (- 1 (* x x)))
0.0ms	x	@	-inf	((/ 10 (- 1 (* x x))) (* x x) (/ 10 (- 1 (* x x))) (- 1 (* x x)))
0.0ms	x	@	0	((/ 10 (- 1 (* x x))) (* x x) (/ 10 (- 1 (* x x))) (- 1 (* x x)))

simplify0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	egg-herbie

Counts

13 → 4

Calls

Call 1

Inputs
10
(+ 10 (* 10 (pow x 2)))
(+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2)))))
(+ 10 (* (pow x 2) (+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2)))))))
(pow x 2)
1
(+ 1 (* -1 (pow x 2)))
(/ -10 (pow x 2))
(* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 2))) 10) (pow x 2))
(/ (- (* -1 (/ (+ 10 (* 10 (/ 1 (pow x 2)))) (pow x 4))) (+ 10 (* 10 (/ 1 (pow x 2))))) (pow x 2))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))

Outputs
10
#s(approx (/ 10 (- 1 (* x x))) (*.f64 x x))
(+ 10 (* 10 (pow x 2)))
(*.f64 x x)
(+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2)))))
#s(approx (/ 10 (- 1 (* x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(+ 10 (* (pow x 2) (+ 10 (* (pow x 2) (+ 10 (* 10 (pow x 2)))))))
(-.f64 #s(literal 1 binary64) (*.f64 x x))

rewrite0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Counts

4 → 4

Calls

Call 1

Inputs
#s(approx (/ 10 (- 1 (* x x))) (*.f64 x x))
(*.f64 x x)
#s(approx (/ 10 (- 1 (* x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))

Outputs
#s(approx (/ 10 (- 1 (* x x))) (*.f64 x x))
(*.f64 x x)
#s(approx (/ 10 (- 1 (* x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))

eval1.0ms (0.1%)

Memory: 1.4MiB live, 1.4MiB allocated
Compiler: Compiled 101 to 13 computations (87.1% saved)

prune2.0ms (0.2%)

Memory

3.7MiB live, 3.7MiB 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

87.8%

Counts

10 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	87.8%	(/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	11.6%	#s(approx (/ 10 (- 1 (* x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	9.2%	#s(approx (/ 10 (- 1 (* x x))) (*.f64 x x))

Compiler

Compiled 62 to 37 computations (40.3% saved)

regimes9.0ms (0.8%)

Memory

-23.2MiB live, 15.4MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
#s(approx (/ 10 (- 1 (* x x))) (*.f64 x x))
#s(approx (/ 10 (- 1 (* x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))

Outputs
(/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))

Calls

4 calls:

3.0ms	x
2.0ms	(/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
2.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
87.8%	1	`x`
87.8%	1	`(/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
87.8%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
87.8%	1	`(*.f64 x x)`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes6.0ms (0.5%)

Memory

13.8MiB live, 13.8MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (/ 10 (- 1 (* x x))) (*.f64 x x))
#s(approx (/ 10 (- 1 (* x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))

Outputs
#s(approx (/ 10 (- 1 (* x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))

Calls

4 calls:

1.0ms	(/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
1.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
1.0ms	(*.f64 x x)
1.0ms	x

Results

Accuracy	Segments	Branch
11.6%	1	`(/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
11.6%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
11.6%	1	`x`
11.6%	1	`(*.f64 x x)`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes5.0ms (0.4%)

Memory

12.6MiB live, 12.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ 10 (- 1 (* x x))) (*.f64 x x))

Outputs
#s(approx (/ 10 (- 1 (* x x))) (*.f64 x x))

Calls

4 calls:

1.0ms	(/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
1.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
1.0ms	(*.f64 x x)
1.0ms	x

Results

Accuracy	Segments	Branch
9.2%	1	`(/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
9.2%	1	`x`
9.2%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
9.2%	1	`(*.f64 x x)`

Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify4.0ms (0.4%)

Memory

10.3MiB live, 10.3MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

Inputs
(/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (/ 10 (- 1 (* x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (/ 10 (- 1 (* x x))) (*.f64 x x))

Outputs
(/.f64 #s(literal 10 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (/ 10 (- 1 (* x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (/ 10 (- 1 (* x x))) (*.f64 x x))

soundness3.0ms (0.3%)

Memory

-40.2MiB live, 1.2MiB allocated

Stop Event

1×

done

Compiler

Compiled 31 to 13 computations (58.1% saved)

preprocess20.0ms (1.8%)

Memory: 1.9MiB live, 40.4MiB allocated
Compiler: Compiled 76 to 38 computations (50% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze5.0ms (0.4%)

sample926.0ms (84.8%)

explain67.0ms (6.1%)

preprocess5.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify0.0ms (0%)

localize16.0ms (1.4%)

series2.0ms (0.2%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval1.0ms (0.1%)

prune1.0ms (0.1%)

simplify0.0ms (0%)

localize18.0ms (1.7%)

series1.0ms (0.1%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval1.0ms (0.1%)

prune2.0ms (0.2%)

regimes9.0ms (0.8%)

regimes6.0ms (0.5%)

regimes5.0ms (0.4%)

simplify4.0ms (0.4%)

soundness3.0ms (0.3%)

preprocess20.0ms (1.8%)

end0.0ms (0%)

Profiling