Metrics for math.log10 on complex, imaginary part

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze2.0ms (0.1%)

Memory

3.8MiB live, 3.8MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
50%	50%	50%	0.1%	0%	0%	0%	2
75%	74.9%	25%	0.1%	0%	0%	0%	3
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	4
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	5
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	6
98.4%	98.3%	1.6%	0.1%	0%	0%	0%	7
99.2%	99.1%	0.8%	0.1%	0%	0%	0%	8
99.6%	99.5%	0.4%	0.1%	0%	0%	0%	9
99.8%	99.7%	0.2%	0.1%	0%	0%	0%	10
99.9%	99.8%	0.1%	0.1%	0%	0%	0%	11
100%	99.9%	0%	0.1%	0%	0%	0%	12

Compiler

Compiled 8 to 8 computations (0% saved)

sample1.2s (66.5%)

Memory

-73.6MiB live, 984.6MiB allocated; 895ms collecting garbage

Samples

641.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 368.0ms

ival-atan2: 185.0ms (50.2% of total)

ival-log: 102.0ms (27.7% of total)

ival-div: 65.0ms (17.6% of total)

ival-true: 5.0ms (1.4% of total)

exact: 5.0ms (1.4% of total)

ival-assert: 3.0ms (0.8% of total)

adjust: 2.0ms (0.5% of total)

Bogosity

explain94.0ms (5.1%)

Memory

-13.5MiB live, 77.5MiB allocated; 15ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))`
-	-	`(log.f64 #s(literal 10 binary64))`
-	-	`re`
-	-	`(atan2.f64 im re)`
-	-	`im`
-	-	`#s(literal 10 binary64)`

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

32.0ms

512×

valid

Compiler

Compiled 38 to 22 computations (42.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-log: 6.0ms (43.6% of total)

ival-atan2: 4.0ms (29.1% of total)

ival-div: 3.0ms (21.8% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess12.0ms (0.7%)

Memory

16.0MiB live, 16.0MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	36
1	21	36
0	6	6
0	9	6
0	9	6

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))

Outputs
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))

Compiler

Compiled 6 to 6 computations (0% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.7%	(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))

Compiler

Compiled 6 to 6 computations (0% saved)

simplify3.0ms (0.2%)

Memory

3.1MiB live, 3.1MiB allocated; 0ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(log.f64 #s(literal 10 binary64))
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	14
0	9	14
0	9	14

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
(atan2.f64 im re)
im
re
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)

Outputs
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
(atan2.f64 im re)
im
re
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)

localize26.0ms (1.4%)

Memory

-22.9MiB live, 33.0MiB allocated; 15ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(atan2.f64 im re)
accuracy	0.0	(log.f64 #s(literal 10 binary64))
accuracy	0.803066259768442	(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))

Samples

21.0ms

256×

valid

Compiler

Compiled 16 to 8 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-atan2: 10.0ms (69.2% of total)

ival-div: 2.0ms (13.8% of total)

ival-log: 2.0ms (13.8% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series93.0ms (5%)

Memory

28.0MiB live, 120.6MiB allocated; 9ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
(atan2.f64 im re)
(log.f64 #s(literal 10 binary64))

Outputs
(/ (atan2 im re) (log 10))
(atan2 im re)

Calls

6 calls:

Time	Variable		Point	Expression
43.0ms	re	@	0	((/ (atan2 im re) (log 10)) (atan2 im re) (log 10))
25.0ms	re	@	-inf	((/ (atan2 im re) (log 10)) (atan2 im re) (log 10))
6.0ms	im	@	0	((/ (atan2 im re) (log 10)) (atan2 im re) (log 10))
6.0ms	im	@	-inf	((/ (atan2 im re) (log 10)) (atan2 im re) (log 10))
6.0ms	im	@	inf	((/ (atan2 im re) (log 10)) (atan2 im re) (log 10))

simplify3.0ms (0.1%)

Memory

4.1MiB live, 4.1MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
0	6	9

Stop Event

1×	iter limit
1×	saturated

Counts

2 → 2

Calls

Call 1

Inputs
(/ (atan2 im re) (log 10))
(atan2 im re)

Outputs
(/ (atan2 im re) (log 10))
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
(atan2 im re)
(atan2.f64 im re)

rewrite36.0ms (1.9%)

Memory

-10.8MiB live, 33.7MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
0	9	11
1	12	11
2	23	11
3	33	11
4	34	11
0	34	11

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Counts

3 → 7

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
(atan2.f64 im re)
(log.f64 #s(literal 10 binary64))

Outputs
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 #s(literal 1/10 binary64)))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))))
(atan2.f64 im re)
(neg.f64 (neg.f64 (atan2.f64 im re)))
(neg.f64 (log.f64 #s(literal 1/10 binary64)))
(log.f64 #s(literal 10 binary64))

eval1.0ms (0.1%)

Memory: 3.6MiB live, 3.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 70 to 23 computations (67.1% saved)

prune1.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	8	1	9
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	8	2	10

Accuracy

99.9%

Counts

10 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
✓	98.7%	(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))

Compiler

Compiled 13 to 13 computations (0% saved)

simplify28.0ms (1.5%)

Memory

-42.2MiB live, 9.0MiB allocated; 17ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(log.f64 #s(literal 1/10 binary64))
cost-diff	0	(neg.f64 (log.f64 #s(literal 1/10 binary64)))
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	18
0	11	18
1	13	18
2	15	18
0	15	18

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
(atan2.f64 im re)
im
re
(neg.f64 (log.f64 #s(literal 1/10 binary64)))
(log.f64 #s(literal 1/10 binary64))
#s(literal 1/10 binary64)

Outputs
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
(atan2.f64 im re)
im
re
(neg.f64 (log.f64 #s(literal 1/10 binary64)))
(log.f64 #s(literal 1/10 binary64))
#s(literal 1/10 binary64)

localize36.0ms (1.9%)

Memory

24.0MiB live, 66.0MiB allocated; 9ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(atan2.f64 im re)
accuracy	0.0	(neg.f64 (log.f64 #s(literal 1/10 binary64)))
accuracy	0.803066259768442	(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
accuracy	1.0	(log.f64 #s(literal 1/10 binary64))

Samples

29.0ms

256×

valid

Compiler

Compiled 20 to 9 computations (55% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

const: 14.0ms (65.8% of total)

ival-log: 3.0ms (14.1% of total)

ival-atan2: 2.0ms (9.4% of total)

ival-div: 2.0ms (9.4% of total)

ival-neg: 1.0ms (4.7% of total)

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

adjust: 0.0ms (0% of total)

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

series152.0ms (8.3%)

Memory

1.1MiB live, 147.1MiB allocated; 24ms collecting garbage

Counts

4 → 2

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
(atan2.f64 im re)
(neg.f64 (log.f64 #s(literal 1/10 binary64)))
(log.f64 #s(literal 1/10 binary64))

Outputs
(* -1 (/ (atan2 im re) (log 1/10)))
(atan2 im re)

Calls

6 calls:

Time	Variable		Point	Expression
59.0ms	re	@	0	((/ (atan2 im re) (neg (log 1/10))) (atan2 im re) (neg (log 1/10)) (log 1/10))
38.0ms	im	@	inf	((/ (atan2 im re) (neg (log 1/10))) (atan2 im re) (neg (log 1/10)) (log 1/10))
34.0ms	re	@	-inf	((/ (atan2 im re) (neg (log 1/10))) (atan2 im re) (neg (log 1/10)) (log 1/10))
7.0ms	im	@	-inf	((/ (atan2 im re) (neg (log 1/10))) (atan2 im re) (neg (log 1/10)) (log 1/10))
7.0ms	re	@	inf	((/ (atan2 im re) (neg (log 1/10))) (atan2 im re) (neg (log 1/10)) (log 1/10))

simplify3.0ms (0.2%)

Memory

7.9MiB live, 7.9MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	12	10
2	18	10
3	20	10
4	21	10
0	21	10

Stop Event

1×	iter limit
1×	saturated

Counts

2 → 2

Calls

Call 1

Inputs
(* -1 (/ (atan2 im re) (log 1/10)))
(atan2 im re)

Outputs
(* -1 (/ (atan2 im re) (log 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 #s(literal 1/10 binary64)))
(atan2 im re)
(atan2.f64 im re)

rewrite35.0ms (1.9%)

Memory

-22.6MiB live, 20.2MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
0	11	13
1	20	13
2	28	13
3	33	13
0	33	13

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Counts

4 → 9

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
(atan2.f64 im re)
(neg.f64 (log.f64 #s(literal 1/10 binary64)))
(log.f64 #s(literal 1/10 binary64))

Outputs
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))))
(atan2.f64 im re)
(neg.f64 (neg.f64 (atan2.f64 im re)))
(neg.f64 (log.f64 #s(literal 1/10 binary64)))
(log.f64 #s(literal 10 binary64))
(neg.f64 (log.f64 #s(literal 10 binary64)))
(log.f64 #s(literal 1/10 binary64))

eval1.0ms (0.1%)

Memory: 6.2MiB live, 6.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 90 to 27 computations (70% saved)

prune2.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	11	0	11
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	11	2	13

Accuracy

99.9%

Counts

13 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
✓	98.7%	(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))

Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes5.0ms (0.3%)

Memory

18.9MiB live, 18.9MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64))))

Outputs
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64))))

Calls

4 calls:

1.0ms	im
1.0ms	re
1.0ms	(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
1.0ms	(atan2.f64 im re)

Results

Accuracy	Segments	Branch
99.7%	1	`(atan2.f64 im re)`
99.7%	1	`(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))`
99.7%	1	`re`
99.7%	1	`im`

Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes38.0ms (2.1%)

Memory

-31.3MiB live, 14.5MiB allocated; 2ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))

Outputs
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))

Calls

4 calls:

35.0ms	re
1.0ms	im
1.0ms	(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
1.0ms	(atan2.f64 im re)

Results

Accuracy	Segments	Branch
98.7%	1	`re`
98.7%	1	`(atan2.f64 im re)`
98.7%	1	`(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))`
98.7%	1	`im`

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify10.0ms (0.5%)

Memory

28.5MiB live, 28.5MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	17	13
2	23	13
3	27	13
4	28	13

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))

Outputs
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))

derivations7.0ms (0.4%)

Memory

14.2MiB live, 14.2MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
0	9	11
1	12	11
2	23	11
3	33	11
4	34	11
0	34	11

Stop Event

1×	done
1×	iter limit
1×	saturated
1×	iter limit

Compiler

Compiled 13 to 10 computations (23.1% saved)

preprocess29.0ms (1.6%)

Memory: -5.9MiB live, 41.2MiB allocated; 2ms collecting garbage
Compiler: Compiled 38 to 32 computations (15.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze2.0ms (0.1%)

sample1.2s (66.5%)

explain94.0ms (5.1%)

preprocess12.0ms (0.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.2%)

localize26.0ms (1.4%)

series93.0ms (5%)

simplify3.0ms (0.1%)

rewrite36.0ms (1.9%)

eval1.0ms (0.1%)

prune1.0ms (0.1%)

simplify28.0ms (1.5%)

localize36.0ms (1.9%)

series152.0ms (8.3%)

simplify3.0ms (0.2%)

rewrite35.0ms (1.9%)

eval1.0ms (0.1%)

prune2.0ms (0.1%)

regimes5.0ms (0.3%)

regimes38.0ms (2.1%)

simplify10.0ms (0.5%)

derivations7.0ms (0.4%)

preprocess29.0ms (1.6%)

end0.0ms (0%)

Profiling