Metrics for Expression 3, p15

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25%	75%	0%	0%	0%	0
100%	25%	0%	75%	0%	0%	0%	1

Compiler

Compiled 17 to 10 computations (41.2% saved)

sample653.0ms (79.7%)

Memory

28.1MiB live, 1 136.7MiB allocated

Samples

417.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 253.0ms

ival-mult: 140.0ms (55.3% of total)

ival-<=: 52.0ms (20.5% of total)

ival-add: 35.0ms (13.8% of total)

ival-and: 12.0ms (4.7% of total)

exact: 11.0ms (4.3% of total)

ival-assert: 3.0ms (1.2% of total)

Bogosity

explain60.0ms (7.4%)

Memory

-14.8MiB live, 110.2MiB allocated

FPErrors

Click to see full error table

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

23.0ms

512×

valid

Compiler

Compiled 67 to 20 computations (70.1% saved)

Precisions

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

ival-mult: 10.0ms (76.4% of total)

ival-add: 2.0ms (15.3% of total)

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

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

preprocess2.0ms (0.2%)

Memory

4.0MiB live, 4.0MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

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

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

Compiler

Compiled 9 to 4 computations (55.6% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 4 computations (55.6% 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 x)
cost-diff	0	(.f64 x (.f64 x x))
cost-diff	0	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))

Calls

Call 1

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

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

localize16.0ms (2%)

Memory

-14.9MiB live, 22.0MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.01171875	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
accuracy	0.08984375	(.f64 x (.f64 x x))

Samples

9.0ms

256×

valid

Compiler

Compiled 38 to 10 computations (73.7% saved)

Precisions

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

ival-mult: 3.0ms (66.3% of total)

ival-add: 1.0ms (22.1% of total)

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

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

series3.0ms (0.3%)

Memory

4.8MiB live, 4.8MiB allocated

Counts

3 → 4

Calls

Call 1

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

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

Calls

3 calls:

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

simplify0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	egg-herbie

Counts

4 → 3

Calls

Call 1

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

Outputs
(pow x 2)
(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
(* (pow x 2) (+ 1 x))
(.f64 x (.f64 x x))
(pow x 3)
(*.f64 x x)

rewrite0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

eval1.0ms (0.1%)

Memory: 1.4MiB live, 1.4MiB allocated
Compiler: Compiled 83 to 11 computations (86.7% saved)

prune1.0ms (0.1%)

Memory

2.2MiB live, 2.2MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	5	2	7
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	5	3	8

Accuracy

100.0%

Counts

8 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
▶	58.8%	(+.f64 #s(approx (* x (* x x)) (.f64 x x)) (.f64 x x))
▶	53.4%	#s(approx (+ (* x (* x x)) (* x x)) (.f64 x (.f64 x x)))

Compiler

Compiled 37 to 17 computations (54.1% saved)

simplify0.0ms (0%)

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 x)
cost-diff	0	#s(approx (* x (* x x)) (*.f64 x x))
cost-diff	0	(+.f64 #s(approx (* x (* x x)) (.f64 x x)) (.f64 x x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 x (.f64 x x))
cost-diff	0	#s(approx (+ (* x (* x x)) (* x x)) (.f64 x (.f64 x x)))

Calls

Call 1

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

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

localize19.0ms (2.3%)

Memory

-15.7MiB live, 25.3MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.01171875	(+.f64 #s(approx (* x (* x x)) (.f64 x x)) (.f64 x x))
accuracy	29.782188110656143	#s(approx (* x (* x x)) (*.f64 x x))
accuracy	0.0	(*.f64 x x)
accuracy	0.08984375	(.f64 x (.f64 x x))
accuracy	29.804753412397105	#s(approx (+ (* x (* x x)) (* x x)) (.f64 x (.f64 x x)))

Samples

14.0ms

256×

valid

Compiler

Compiled 88 to 15 computations (83% saved)

Precisions

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

ival-mult: 3.0ms (65% of total)

ival-add: 1.0ms (21.7% of total)

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

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

series2.0ms (0.3%)

Memory

4.1MiB live, 4.0MiB allocated

Counts

5 → 4

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

-inf

((+ (* x (* x x)) (* x x)) (* x (* x x)) (* x x) (+ (* x (* x x)) (* x x)) (* x (* x x)))

1.0ms

inf

((+ (* x (* x x)) (* x x)) (* x (* x x)) (* x x) (+ (* x (* x x)) (* x x)) (* x (* x x)))

0.0ms

((+ (* x (* x x)) (* x x)) (* x (* x x)) (* x x) (+ (* x (* x x)) (* x x)) (* x (* x x)))

simplify0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	egg-herbie

Counts

4 → 4

Calls

Call 1

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

Outputs
(pow x 2)
#s(approx (+ (* x (* x x)) (* x x)) (.f64 x (.f64 x x)))
(* (pow x 2) (+ 1 x))
(.f64 x (.f64 x x))
(pow x 3)
(*.f64 x x)
(* (pow x 3) (+ 1 (/ 1 x)))
(+.f64 #s(approx (* x (* x x)) (.f64 x x)) (.f64 x x))

rewrite0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Counts

5 → 5

Calls

Call 1

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

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

eval1.0ms (0.1%)

Memory: 1.7MiB live, 1.7MiB allocated
Compiler: Compiled 151 to 12 computations (92.1% saved)

prune1.0ms (0.2%)

Memory

2.8MiB live, 2.8MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	8	1	9
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	8	4	12

Accuracy

100.0%

Counts

12 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
✓	58.8%	(+.f64 #s(approx (* x (* x x)) (.f64 x x)) (.f64 x x))
✓	53.4%	#s(approx (+ (* x (* x x)) (* x x)) (.f64 x (.f64 x x)))
▶	97.5%	#s(approx (+ (* x (* x x)) (* x x)) #s(approx (* x (* x x)) (*.f64 x x)))

Compiler

Compiled 56 to 24 computations (57.1% 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 x)
cost-diff	0	#s(approx (* x (* x x)) (*.f64 x x))
cost-diff	0	#s(approx (+ (* x (* x x)) (* x x)) #s(approx (* x (* x x)) (*.f64 x x)))

Calls

Call 1

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

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

localize16.0ms (2%)

Memory

-15.1MiB live, 22.0MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	29.782188110656143	#s(approx (* x (* x x)) (*.f64 x x))
accuracy	29.804753412397105	#s(approx (+ (* x (* x x)) (* x x)) #s(approx (* x (* x x)) (*.f64 x x)))

Samples

12.0ms

256×

valid

Compiler

Compiled 52 to 13 computations (75% saved)

Precisions

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

ival-mult: 3.0ms (65.5% of total)

ival-add: 1.0ms (21.8% of total)

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

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

series2.0ms (0.2%)

Memory

3.8MiB live, 3.8MiB allocated

Counts

3 → 4

Calls

Call 1

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

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

Calls

3 calls:

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

simplify0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	egg-herbie

Counts

4 → 3

Calls

Call 1

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

Outputs
(pow x 2)
#s(approx (+ (* x (* x x)) (* x x)) #s(approx (* x (* x x)) (*.f64 x x)))
(* (pow x 2) (+ 1 x))
#s(approx (* x (* x x)) (*.f64 x x))
(pow x 3)
(*.f64 x x)

rewrite0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

eval0.0ms (0.1%)

Memory: 0.8MiB live, 0.8MiB allocated
Compiler: Compiled 86 to 8 computations (90.7% saved)

prune2.0ms (0.3%)

Memory

4.4MiB live, 4.4MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	4	0	4
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	4	4	8

Accuracy

100.0%

Counts

8 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
✓	58.8%	(+.f64 #s(approx (* x (* x x)) (.f64 x x)) (.f64 x x))
✓	53.4%	#s(approx (+ (* x (* x x)) (* x x)) (.f64 x (.f64 x x)))
✓	97.5%	#s(approx (+ (* x (* x x)) (* x x)) #s(approx (* x (* x x)) (*.f64 x x)))

Compiler

Compiled 112 to 35 computations (68.8% saved)

regimes4.0ms (0.4%)

Memory

7.6MiB live, 7.6MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))

Results

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

Compiler

Compiled 10 to 5 computations (50% saved)

regimes3.0ms (0.4%)

Memory

6.9MiB live, 6.9MiB allocated

Accuracy

Total -28.2b remaining (-1799.8%)

Threshold costs -28.2b (-1799.8%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.5%	1	`x`
97.5%	1	`(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))`

Compiler

Compiled 10 to 5 computations (50% saved)

simplify4.0ms (0.5%)

Memory

9.3MiB live, 9.3MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

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

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

soundness1.0ms (0.1%)

Memory

1.0MiB live, 1.0MiB allocated

Stop Event

1×

done

Compiler

Compiled 28 to 9 computations (67.9% saved)

preprocess24.0ms (2.9%)

Memory: 0.7MiB live, 38.3MiB allocated
Compiler: Compiled 88 to 36 computations (59.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample653.0ms (79.7%)

explain60.0ms (7.4%)

preprocess2.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify0.0ms (0%)

localize16.0ms (2%)

series3.0ms (0.3%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval1.0ms (0.1%)

prune1.0ms (0.1%)

simplify0.0ms (0%)

localize19.0ms (2.3%)

series2.0ms (0.3%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval1.0ms (0.1%)

prune1.0ms (0.2%)

simplify0.0ms (0%)

localize16.0ms (2%)

series2.0ms (0.2%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval0.0ms (0.1%)

prune2.0ms (0.3%)

regimes4.0ms (0.4%)

regimes3.0ms (0.4%)

simplify4.0ms (0.5%)

soundness1.0ms (0.1%)

preprocess24.0ms (2.9%)

end0.0ms (0%)

Profiling