Metrics for Examples.Basics.BasicTests:f1 from sbv-4.4

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze1.0ms (0.1%)

Memory

1.2MiB live, 1.2MiB 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)

sample522.0ms (77.5%)

Memory

33.5MiB live, 887.2MiB allocated

Samples

329.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 170.0ms

ival-mult: 57.0ms (33.5% of total)

ival-sub: 53.0ms (31.2% of total)

ival-add: 50.0ms (29.4% of total)

ival-true: 6.0ms (3.5% of total)

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

Bogosity

explain55.0ms (8.1%)

Memory

2.8MiB live, 88.7MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`y`
-	-	`(*.f64 (+.f64 x y) (-.f64 x y))`
-	-	`(+.f64 x y)`
-	-	`(-.f64 x y)`
-	-	`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

24.0ms

512×

valid

Compiler

Compiled 56 to 24 computations (57.1% saved)

Precisions

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

ival-sub: 3.0ms (31.3% of total)

ival-add: 3.0ms (31.3% of total)

ival-mult: 3.0ms (31.3% of total)

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

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

preprocess3.0ms (0.4%)

Memory

6.3MiB live, 6.3MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

Inputs
(*.f64 (+.f64 x y) (-.f64 x y))

Outputs
(*.f64 (+.f64 x y) (-.f64 x y))

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0.1%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (+.f64 x y) (-.f64 x y))

Compiler

Compiled 7 to 5 computations (28.6% 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 x y)
cost-diff	0	(+.f64 x y)
cost-diff	0	(*.f64 (+.f64 x y) (-.f64 x y))

Calls

Call 1

Inputs
(*.f64 (+.f64 x y) (-.f64 x y))
(+.f64 x y)
x
y
(-.f64 x y)

Outputs
(*.f64 (+.f64 x y) (-.f64 x y))
(+.f64 x y)
x
y
(-.f64 x y)

localize18.0ms (2.7%)

Memory

-14.5MiB live, 23.6MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(+.f64 x y)
accuracy	0.0	(*.f64 (+.f64 x y) (-.f64 x y))

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: 2.0ms (43.9% of total)

ival-sub: 1.0ms (22% of total)

ival-add: 1.0ms (22% of total)

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

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

series3.0ms (0.4%)

Memory

4.1MiB live, 4.1MiB allocated

Counts

3 → 27

Calls

Call 1

Inputs
(*.f64 (+.f64 x y) (-.f64 x y))
(+.f64 x y)
(-.f64 x y)

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((* (+ x y) (- x y)) (+ x y) (- x y))
1.0ms	y	@	inf	((* (+ x y) (- x y)) (+ x y) (- x y))
1.0ms	x	@	-inf	((* (+ x y) (- x y)) (+ x y) (- x y))
0.0ms	y	@	-inf	((* (+ x y) (- x y)) (+ x y) (- x y))
0.0ms	x	@	0	((* (+ x y) (- x y)) (+ x y) (- x y))

simplify0.0ms (0.1%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	egg-herbie

Counts

27 → 3

Calls

Call 1

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

Outputs
(* -1 (pow y 2))
(*.f64 (+.f64 x y) (-.f64 x y))
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))
(+.f64 x y)
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(-.f64 x y)

rewrite0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
(*.f64 (+.f64 x y) (-.f64 x y))
(+.f64 x y)
(-.f64 x y)

Outputs
(*.f64 (+.f64 x y) (-.f64 x y))
(+.f64 x y)
(-.f64 x y)

eval1.0ms (0.1%)

Memory: 1.1MiB live, 1.1MiB allocated
Compiler: Compiled 58 to 11 computations (81% 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 (+.f64 x y) (-.f64 x y))
▶	3.9%	#s(approx (* (+ x y) (- x y)) (-.f64 x y))
▶	3.7%	#s(approx (* (+ x y) (- x y)) (+.f64 x y))

Compiler

Compiled 29 to 19 computations (34.5% saved)

simplify0.0ms (0.1%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Calls

Call 1

Inputs
#s(approx (* (+ x y) (- x y)) (+.f64 x y))
(+.f64 x y)
x
y
#s(approx (* (+ x y) (- x y)) (-.f64 x y))
(-.f64 x y)
x
y

Outputs
#s(approx (* (+ x y) (- x y)) (+.f64 x y))
(+.f64 x y)
x
y
#s(approx (* (+ x y) (- x y)) (-.f64 x y))
(-.f64 x y)
x
y

localize19.0ms (2.8%)

Memory

-15.2MiB live, 22.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 x y)
accuracy	61.47323940194017	#s(approx (* (+ x y) (- x y)) (-.f64 x y))
accuracy	0.0	(+.f64 x y)
accuracy	61.650398131709096	#s(approx (* (+ x y) (- x y)) (+.f64 x y))

Samples

14.0ms

256×

valid

Compiler

Compiled 58 to 16 computations (72.4% saved)

Precisions

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

ival-mult: 5.0ms (65.3% of total)

ival-sub: 1.0ms (13.1% of total)

ival-add: 1.0ms (13.1% of total)

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

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

series1.0ms (0.2%)

Memory

2.3MiB live, 2.3MiB allocated

Counts

4 → 27

Calls

Call 1

Inputs
#s(approx (* (+ x y) (- x y)) (+.f64 x y))
(+.f64 x y)
#s(approx (* (+ x y) (- x y)) (-.f64 x y))
(-.f64 x y)

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

Calls

6 calls:

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

simplify0.0ms (0.1%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	egg-herbie

Counts

27 → 4

Calls

Call 1

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

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

rewrite0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Counts

4 → 4

Calls

Call 1

Inputs
#s(approx (* (+ x y) (- x y)) (+.f64 x y))
(+.f64 x y)
#s(approx (* (+ x y) (- x y)) (-.f64 x y))
(-.f64 x y)

Outputs
#s(approx (* (+ x y) (- x y)) (+.f64 x y))
(+.f64 x y)
#s(approx (* (+ x y) (- x y)) (-.f64 x y))
(-.f64 x y)

eval1.0ms (0.1%)

Memory: 1.4MiB live, 1.4MiB allocated
Compiler: Compiled 97 to 13 computations (86.6% saved)

prune3.0ms (0.4%)

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 (+.f64 x y) (-.f64 x y))
✓	3.9%	#s(approx (* (+ x y) (- x y)) (-.f64 x y))
✓	3.7%	#s(approx (* (+ x y) (- x y)) (+.f64 x y))

Compiler

Compiled 58 to 29 computations (50% saved)

regimes5.0ms (0.8%)

Memory

10.4MiB live, 10.4MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
#s(approx (* (+ x y) (- x y)) (+.f64 x y))
#s(approx (* (+ x y) (- x y)) (-.f64 x y))
(*.f64 (+.f64 x y) (-.f64 x y))

Outputs
(*.f64 (+.f64 x y) (-.f64 x y))

Calls

3 calls:

2.0ms	y
2.0ms	x
1.0ms	(*.f64 (+.f64 x y) (-.f64 x y))

Results

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

Compiler

Compiled 9 to 9 computations (0% saved)

regimes4.0ms (0.6%)

Memory

9.5MiB live, 9.5MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (* (+ x y) (- x y)) (+.f64 x y))
#s(approx (* (+ x y) (- x y)) (-.f64 x y))

Outputs
#s(approx (* (+ x y) (- x y)) (-.f64 x y))

Calls

3 calls:

1.0ms	x
1.0ms	y
1.0ms	(*.f64 (+.f64 x y) (-.f64 x y))

Results

Accuracy	Segments	Branch
3.9%	1	`x`
3.9%	1	`y`
3.9%	1	`(*.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes10.0ms (1.5%)

Memory

-43.5MiB live, 8.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (* (+ x y) (- x y)) (+.f64 x y))

Outputs
#s(approx (* (+ x y) (- x y)) (+.f64 x y))

Calls

3 calls:

8.0ms	y
1.0ms	x
1.0ms	(*.f64 (+.f64 x y) (-.f64 x y))

Results

Accuracy	Segments	Branch
3.7%	1	`x`
3.7%	1	`(*.f64 (+.f64 x y) (-.f64 x y))`
3.7%	1	`y`

Compiler

Compiled 9 to 9 computations (0% saved)

simplify4.0ms (0.6%)

Memory

8.3MiB live, 8.2MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

Inputs
(*.f64 (+.f64 x y) (-.f64 x y))
#s(approx (* (+ x y) (- x y)) (-.f64 x y))
#s(approx (* (+ x y) (- x y)) (+.f64 x y))

Outputs
(*.f64 (+.f64 x y) (-.f64 x y))
#s(approx (* (+ x y) (- x y)) (-.f64 x y))
#s(approx (* (+ x y) (- x y)) (+.f64 x y))

soundness1.0ms (0.1%)

Memory

1.0MiB live, 1.0MiB allocated

Stop Event

1×

done

Compiler

Compiled 29 to 10 computations (65.5% saved)

preprocess20.0ms (2.9%)

Memory: -0.2MiB live, 38.0MiB allocated
Compiler: Compiled 72 to 30 computations (58.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze1.0ms (0.1%)

sample522.0ms (77.5%)

explain55.0ms (8.1%)

preprocess3.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0.1%)

simplify0.0ms (0%)

localize18.0ms (2.7%)

series3.0ms (0.4%)

simplify0.0ms (0.1%)

rewrite0.0ms (0%)

eval1.0ms (0.1%)

prune1.0ms (0.2%)

simplify0.0ms (0.1%)

localize19.0ms (2.8%)

series1.0ms (0.2%)

simplify0.0ms (0.1%)

rewrite0.0ms (0%)

eval1.0ms (0.1%)

prune3.0ms (0.4%)

regimes5.0ms (0.8%)

regimes4.0ms (0.6%)

regimes10.0ms (1.5%)

simplify4.0ms (0.6%)

soundness1.0ms (0.1%)

preprocess20.0ms (2.9%)

end0.0ms (0%)

Profiling