Metrics for ENA, Section 1.4, Mentioned, A

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze6.0ms (0.3%)

Memory

-31.9MiB live, 5.9MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	49.6%	50.4%	0%	0%	0%	0
0%	0%	49.6%	50.4%	0%	0%	0%	1
0%	0%	49.6%	50.4%	0%	0%	0%	2
50%	24.8%	24.8%	50.4%	0%	0%	0%	3
75%	37.2%	12.4%	50.4%	0%	0%	0%	4
87.5%	43.4%	6.2%	50.4%	0%	0%	0%	5
93.8%	46.5%	3.1%	50.4%	0%	0%	0%	6
96.9%	48.1%	1.6%	50.4%	0%	0%	0%	7
98.4%	48.8%	0.8%	50.4%	0%	0%	0%	8
99.2%	49.2%	0.4%	50.4%	0%	0%	0%	9
99.6%	49.4%	0.2%	50.4%	0%	0%	0%	10
99.8%	49.5%	0.1%	50.4%	0%	0%	0%	11
99.9%	49.6%	0%	50.4%	0%	0%	0%	12

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample2.2s (87.8%)

Memory

44.0MiB live, 2 994.8MiB allocated

Samples

1.6s	5 724×	2	valid
332.0ms	2 442×	1	valid
10.0ms	90×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.6s

ival-cos: 960.0ms (59.8% of total)

const: 233.0ms (14.5% of total)

adjust: 208.0ms (13% of total)

ival-sub: 132.0ms (8.2% of total)

ival-<=: 50.0ms (3.1% of total)

ival-and: 12.0ms (0.7% of total)

exact: 5.0ms (0.3% of total)

ival-assert: 4.0ms (0.2% of total)

Bogosity

explain130.0ms (5.2%)

Memory

-10.4MiB live, 140.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
122	-	-	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(cos.f64 x)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	cancellation	122	0

Confusion

	Predicted +	Predicted -
+	122	0
-	0	134

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	122	0	0
-	0	0	134

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	134
1	122

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

90.0ms	382×	2	valid
10.0ms	122×	1	valid
0.0ms	8×	0	valid

Compiler

Compiled 32 to 20 computations (37.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-cos: 60.0ms (76.4% of total)

adjust: 10.0ms (12.7% of total)

ival-sub: 7.0ms (8.9% of total)

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

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

exact: 0.0ms (0% of total)

preprocess2.0ms (0.1%)

Memory

3.9MiB live, 3.9MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) (cos.f64 x))

Outputs
(-.f64 #s(literal 1 binary64) (cos.f64 x))

Compiler

Compiled 4 to 4 computations (0% 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
▶	56.8%	(-.f64 #s(literal 1 binary64) (cos.f64 x))

Compiler

Compiled 4 to 4 computations (0% saved)

simplify0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x

Outputs
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x

localize56.0ms (2.2%)

Memory

25.2MiB live, 61.7MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(cos.f64 x)
accuracy	27.645449476958344	(-.f64 #s(literal 1 binary64) (cos.f64 x))

Samples

46.0ms	191×	2	valid
5.0ms	61×	1	valid
0.0ms	4×	0	valid

Compiler

Compiled 18 to 10 computations (44.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-cos: 32.0ms (77.1% of total)

adjust: 5.0ms (12.1% of total)

ival-sub: 4.0ms (9.6% of total)

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

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

exact: 0.0ms (0% of total)

series1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Counts

2 → 10

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)

Outputs
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(- 1 (cos x))
(cos x)

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	((- 1 (cos x)) (cos x))
0.0ms	x	@	inf	((- 1 (cos x)) (cos x))
0.0ms	x	@	-inf	((- 1 (cos x)) (cos x))

simplify0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	egg-herbie

Counts

10 → 2

Calls

Call 1

Inputs
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(- 1 (cos x))
(cos x)

Outputs
(* 1/2 (pow x 2))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(cos.f64 x)

rewrite0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)

Outputs
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)

eval6.0ms (0.2%)

Memory: -35.9MiB live, 0.8MiB allocated
Compiler: Compiled 24 to 9 computations (62.5% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	3	1	4
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	3	2	5

Accuracy

57.2%

Counts

5 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.8%	(-.f64 #s(literal 1 binary64) (cos.f64 x))
▶	4.1%	#s(approx (- 1 (cos x)) (cos.f64 x))

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(cos.f64 x)
cost-diff	0	#s(approx (- 1 (cos x)) (cos.f64 x))

Calls

Call 1

Inputs
#s(approx (- 1 (cos x)) (cos.f64 x))
(cos.f64 x)
x

Outputs
#s(approx (- 1 (cos x)) (cos.f64 x))
(cos.f64 x)
x

localize54.0ms (2.2%)

Memory

25.2MiB live, 62.0MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(cos.f64 x)
accuracy	61.379528593064954	#s(approx (- 1 (cos x)) (cos.f64 x))

Samples

39.0ms	191×	2	valid
9.0ms	61×	1	valid
0.0ms	4×	0	valid

Compiler

Compiled 19 to 12 computations (36.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-cos: 31.0ms (77% of total)

adjust: 5.0ms (12.4% of total)

ival-sub: 4.0ms (9.9% of total)

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

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

exact: 0.0ms (0% of total)

series0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Counts

2 → 10

Calls

Call 1

Inputs
#s(approx (- 1 (cos x)) (cos.f64 x))
(cos.f64 x)

Outputs
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(- 1 (cos x))
(cos x)

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	((- 1 (cos x)) (cos x))
0.0ms	x	@	inf	((- 1 (cos x)) (cos x))
0.0ms	x	@	-inf	((- 1 (cos x)) (cos x))

simplify0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	egg-herbie

Counts

10 → 2

Calls

Call 1

Inputs
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(- 1 (cos x))
(cos x)

Outputs
(* 1/2 (pow x 2))
#s(approx (- 1 (cos x)) (cos.f64 x))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(cos.f64 x)

rewrite0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (- 1 (cos x)) (cos.f64 x))
(cos.f64 x)

Outputs
#s(approx (- 1 (cos x)) (cos.f64 x))
(cos.f64 x)

eval0.0ms (0%)

Memory: 0.7MiB live, 0.7MiB allocated
Compiler: Compiled 26 to 7 computations (73.1% saved)

prune2.0ms (0.1%)

Memory

2.7MiB live, 2.7MiB 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

57.2%

Counts

5 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.8%	(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓	4.1%	#s(approx (- 1 (cos x)) (cos.f64 x))

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes4.0ms (0.2%)

Memory

7.7MiB live, 7.7MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (- 1 (cos x)) (cos.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))

Outputs
(-.f64 #s(literal 1 binary64) (cos.f64 x))

Calls

3 calls:

1.0ms	x
1.0ms	(-.f64 #s(literal 1 binary64) (cos.f64 x))
1.0ms	(cos.f64 x)

Results

Accuracy	Segments	Branch
56.8%	1	`x`
56.8%	1	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
56.8%	1	`(cos.f64 x)`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes10.0ms (0.4%)

Memory

-37.9MiB live, 7.1MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- 1 (cos x)) (cos.f64 x))

Outputs
#s(approx (- 1 (cos x)) (cos.f64 x))

Calls

3 calls:

7.0ms	(-.f64 #s(literal 1 binary64) (cos.f64 x))
1.0ms	x
1.0ms	(cos.f64 x)

Results

Accuracy	Segments	Branch
4.1%	1	`x`
4.1%	1	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
4.1%	1	`(cos.f64 x)`

Compiler

Compiled 7 to 7 computations (0% saved)

simplify4.0ms (0.2%)

Memory

8.7MiB live, 8.7MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(approx (- 1 (cos x)) (cos.f64 x))

Outputs
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(approx (- 1 (cos x)) (cos.f64 x))

soundness0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Stop Event

1×

done

Compiler

Compiled 11 to 8 computations (27.3% saved)

preprocess28.0ms (1.1%)

Memory: 2.0MiB live, 39.6MiB allocated
Compiler: Compiled 50 to 38 computations (24% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze6.0ms (0.3%)

sample2.2s (87.8%)

explain130.0ms (5.2%)

preprocess2.0ms (0.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify0.0ms (0%)

localize56.0ms (2.2%)

series1.0ms (0%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval6.0ms (0.2%)

prune1.0ms (0%)

simplify0.0ms (0%)

localize54.0ms (2.2%)

series0.0ms (0%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes4.0ms (0.2%)

regimes10.0ms (0.4%)

simplify4.0ms (0.2%)

soundness0.0ms (0%)

preprocess28.0ms (1.1%)

end0.0ms (0%)

Profiling