Metrics for Difference of squares

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB 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 9 to 7 computations (22.2% saved)

sample523.0ms (80.2%)

Memory

-29.2MiB live, 600.4MiB allocated

Samples

340.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 164.0ms

ival-mult: 116.0ms (70.8% of total)

ival-sub: 39.0ms (23.8% of total)

ival-true: 6.0ms (3.7% of total)

ival-assert: 3.0ms (1.8% of total)

Bogosity

explain59.0ms (9%)

Memory

-18.4MiB live, 63.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
19	-	-	`(-.f64 (.f64 a a) (.f64 b b))`
0	-	-	`(*.f64 a a)`
0	-	-	`a`
0	-	-	`b`
0	-	-	`(*.f64 b b)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (.f64 a a) (.f64 b b))`	nan-rescue	19	0
↳	`(*.f64 a a)`	overflow	72
↳	`(*.f64 b b)`	overflow	64

Confusion

	Predicted +	Predicted -
+	19	0
-	0	237

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	19	0	0
-	0	0	237

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	237
1	19

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

21.0ms

512×

valid

Compiler

Compiled 56 to 24 computations (57.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 7.0ms (72.9% of total)

ival-sub: 2.0ms (20.8% of total)

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

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

preprocess2.0ms (0.4%)

Memory

3.4MiB live, 3.4MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

Inputs
(-.f64 (.f64 a a) (.f64 b b))

Outputs
(-.f64 (.f64 a a) (.f64 b b))

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

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

prune0.0ms (0.1%)

Memory

0.4MiB live, 0.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.6%	(-.f64 (.f64 a a) (.f64 b b))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 b b)
cost-diff	0	(*.f64 a a)
cost-diff	0	(-.f64 (.f64 a a) (.f64 b b))

Calls

Call 1

Inputs
(-.f64 (.f64 a a) (.f64 b b))
(*.f64 a a)
a
(*.f64 b b)
b

Outputs
(-.f64 (.f64 a a) (.f64 b b))
(*.f64 a a)
a
(*.f64 b b)
b

localize15.0ms (2.2%)

Memory

14.5MiB live, 14.5MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 b b)
accuracy	0.0	(*.f64 a a)
accuracy	4.195295986641647	(-.f64 (.f64 a a) (.f64 b b))

Samples

10.0ms

256×

valid

Compiler

Compiled 32 to 12 computations (62.5% saved)

Precisions

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

ival-mult: 3.0ms (63.6% of total)

ival-sub: 1.0ms (21.2% of total)

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

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

series3.0ms (0.5%)

Memory

3.6MiB live, 3.6MiB allocated

Counts

3 → 7

Calls

Call 1

Inputs
(-.f64 (.f64 a a) (.f64 b b))
(*.f64 a a)
(*.f64 b b)

Outputs
(* -1 (pow b 2))
(- (pow a 2) (pow b 2))
(pow a 2)
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(+ (* -1 (pow b 2)) (pow a 2))
(pow b 2)
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	a	@	inf	((- (* a a) (* b b)) (* a a) (* b b))
1.0ms	a	@	0	((- (* a a) (* b b)) (* a a) (* b b))
0.0ms	b	@	inf	((- (* a a) (* b b)) (* a a) (* b b))
0.0ms	a	@	-inf	((- (* a a) (* b b)) (* a a) (* b b))
0.0ms	b	@	-inf	((- (* a a) (* b b)) (* a a) (* b b))

simplify0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	egg-herbie

Counts

7 → 3

Calls

Call 1

Inputs
(* -1 (pow b 2))
(- (pow a 2) (pow b 2))
(pow a 2)
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(+ (* -1 (pow b 2)) (pow a 2))
(pow b 2)
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))

Outputs
(* -1 (pow b 2))
(-.f64 (.f64 a a) (.f64 b b))
(- (pow a 2) (pow b 2))
(*.f64 a a)
(pow a 2)
(*.f64 b b)

rewrite0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
(-.f64 (.f64 a a) (.f64 b b))
(*.f64 a a)
(*.f64 b b)

Outputs
(-.f64 (.f64 a a) (.f64 b b))
(*.f64 a a)
(*.f64 b b)

eval1.0ms (0.1%)

Memory: 0.8MiB live, 0.8MiB allocated
Compiler: Compiled 58 to 12 computations (79.3% saved)

prune1.0ms (0.1%)

Memory

1.2MiB live, 1.2MiB allocated

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	5	1	6
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	5	2	7

Accuracy

96.9%

Counts

7 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	92.6%	(-.f64 (.f64 a a) (.f64 b b))
▶	51.5%	#s(approx (- (* a a) (* b b)) (*.f64 a a))

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 a a)
cost-diff	0	#s(approx (- (* a a) (* b b)) (*.f64 a a))

Calls

Call 1

Inputs
#s(approx (- (* a a) (* b b)) (*.f64 a a))
(*.f64 a a)
a

Outputs
#s(approx (- (* a a) (* b b)) (*.f64 a a))
(*.f64 a a)
a

localize16.0ms (2.4%)

Memory

-24.6MiB live, 13.2MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(*.f64 a a)
accuracy	31.062258668783297	#s(approx (- (* a a) (* b b)) (*.f64 a a))

Samples

12.0ms

256×

valid

Compiler

Compiled 28 to 14 computations (50% saved)

Precisions

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

ival-sub: 3.0ms (43.6% of total)

ival-mult: 3.0ms (43.6% of total)

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

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

series2.0ms (0.3%)

Memory

2.3MiB live, 2.3MiB allocated

Counts

2 → 6

Calls

Call 1

Inputs
#s(approx (- (* a a) (* b b)) (*.f64 a a))
(*.f64 a a)

Outputs
(* -1 (pow b 2))
(- (pow a 2) (pow b 2))
(pow a 2)
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(+ (* -1 (pow b 2)) (pow a 2))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	a	@	inf	((- (* a a) (* b b)) (* a a))
0.0ms	a	@	-inf	((- (* a a) (* b b)) (* a a))
0.0ms	a	@	0	((- (* a a) (* b b)) (* a a))
0.0ms	b	@	-inf	((- (* a a) (* b b)) (* a a))
0.0ms	b	@	inf	((- (* a a) (* b b)) (* a a))

simplify0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	egg-herbie

Counts

6 → 2

Calls

Call 1

Inputs
(* -1 (pow b 2))
(- (pow a 2) (pow b 2))
(pow a 2)
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(+ (* -1 (pow b 2)) (pow a 2))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))

Outputs
(* -1 (pow b 2))
#s(approx (- (* a a) (* b b)) (*.f64 a a))
(- (pow a 2) (pow b 2))
(*.f64 a a)

rewrite0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (- (* a a) (* b b)) (*.f64 a a))
(*.f64 a a)

Outputs
#s(approx (- (* a a) (* b b)) (*.f64 a a))
(*.f64 a a)

eval0.0ms (0.1%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 41 to 8 computations (80.5% saved)

prune2.0ms (0.2%)

Memory

1.6MiB live, 1.6MiB allocated

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	3	0	3
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	3	2	5

Accuracy

96.9%

Counts

5 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	92.6%	(-.f64 (.f64 a a) (.f64 b b))
✓	51.5%	#s(approx (- (* a a) (* b b)) (*.f64 a a))

Compiler

Compiled 36 to 21 computations (41.7% saved)

regimes7.0ms (1%)

Memory

10.5MiB live, 10.5MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (- (* a a) (* b b)) (*.f64 a a))
(-.f64 (.f64 a a) (.f64 b b))

Outputs
(-.f64 (.f64 a a) (.f64 b b))
#s(approx (- (* a a) (* b b)) (*.f64 a a))

Calls

5 calls:

1.0ms	b
1.0ms	a
1.0ms	(*.f64 b b)
1.0ms	(-.f64 (.f64 a a) (.f64 b b))
1.0ms	(*.f64 a a)

Results

Accuracy	Segments	Branch
96.9%	3	`a`
92.6%	1	`b`
96.9%	2	`(-.f64 (.f64 a a) (.f64 b b))`
96.9%	2	`(*.f64 a a)`
92.6%	1	`(*.f64 b b)`

Compiler

Compiled 15 to 15 computations (0% saved)

regimes5.0ms (0.8%)

Memory

9.8MiB live, 9.8MiB allocated

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (* a a) (* b b)) (*.f64 a a))

Outputs
#s(approx (- (* a a) (* b b)) (*.f64 a a))

Calls

5 calls:

1.0ms	b
1.0ms	a
1.0ms	(-.f64 (.f64 a a) (.f64 b b))
1.0ms	(*.f64 b b)
1.0ms	(*.f64 a a)

Results

Accuracy	Segments	Branch
51.5%	1	`b`
51.5%	1	`(*.f64 b b)`
51.5%	1	`a`
51.5%	1	`(-.f64 (.f64 a a) (.f64 b b))`
51.5%	1	`(*.f64 a a)`

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch9.0ms (1.4%)

Memory

8.5MiB live, 8.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	1.119255949630727e+305	+inf

Samples

4.0ms

128×

valid

Compiler

Compiled 122 to 106 computations (13.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-sub: 1.0ms (58.6% of total)

ival-mult: 1.0ms (58.6% of total)

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

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

simplify6.0ms (0.9%)

Memory: -32.1MiB live, 6.6MiB allocated

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample523.0ms (80.2%)

explain59.0ms (9%)

preprocess2.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0.1%)

simplify0.0ms (0%)

localize15.0ms (2.2%)

series3.0ms (0.5%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval1.0ms (0.1%)

prune1.0ms (0.1%)

simplify0.0ms (0%)

localize16.0ms (2.4%)

series2.0ms (0.3%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval0.0ms (0.1%)

prune2.0ms (0.2%)

regimes7.0ms (1%)

regimes5.0ms (0.8%)

bsearch9.0ms (1.4%)

simplify6.0ms (0.9%)

end0.0ms (0%)

Profiling