Metrics for math.log10 on complex, imaginary part

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze2.0ms (0.1%)

Memory

2.9MiB live, 2.9MiB allocated

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)

sample904.0ms (34.4%)

Memory

-2.8MiB live, 1 423.1MiB allocated

Samples

652.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 447.0ms

ival-log: 274.0ms (61.3% of total)

ival-atan2: 91.0ms (20.4% of total)

ival-div: 67.0ms (15% of total)

ival-true: 6.0ms (1.3% of total)

exact: 5.0ms (1.1% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain69.0ms (2.6%)

Memory

2.9MiB live, 159.6MiB allocated

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

34.0ms

512×

valid

Compiler

Compiled 52 to 28 computations (46.2% saved)

Precisions

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

ival-log: 9.0ms (43% of total)

ival-atan2: 8.0ms (38.2% of total)

ival-div: 3.0ms (14.3% of total)

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

exact: 0.0ms (0% of total)

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

preprocess36.0ms (1.4%)

Memory

-7.5MiB live, 30.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	36
1	31	36
2	45	36
3	65	36
4	83	36
5	104	36
6	129	36
7	146	36
8	151	36
9	153	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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.3MiB allocated

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)

simplify2.0ms (0.1%)

Memory

3.8MiB live, 3.8MiB allocated

Algorithm

1×	egg-herbie

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)

localize48.0ms (1.8%)

Memory

19.1MiB live, 55.3MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(atan2.f64 im re)
accuracy	0	(log.f64 #s(literal 10 binary64))
accuracy	0.8483200195368841	(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))

Samples

43.0ms

256×

valid

Compiler

Compiled 30 to 14 computations (53.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-log: 30.0ms (86.9% of total)

ival-atan2: 2.0ms (5.8% of total)

ival-div: 2.0ms (5.8% of total)

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

exact: 0.0ms (0% of total)

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

series79.0ms (3%)

Memory

-15.4MiB live, 161.5MiB allocated

Counts

3 → 48

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (atan2.f64 im re) #<representation binary64>) () ())
#s(alt #<batchref> (patch (log.f64 #s(literal 10 binary64)) #<representation binary64>) () ())

Inputs

#s(alt #<batchref> (patch (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())

#s(alt #<batchref> (patch (atan2.f64 im re) #<representation binary64>) () ())

#s(alt #<batchref> (patch (log.f64 #s(literal 10 binary64)) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 im) (#s(alt #<batchref> (patch (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 im) (#s(alt #<batchref> (patch (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 im) (#s(alt #<batchref> (patch (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 im) (#s(alt #<batchref> (patch (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 im) (#s(alt #<batchref> (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 im) (#s(alt #<batchref> (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 im) (#s(alt #<batchref> (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 im) (#s(alt #<batchref> (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (atan2.f64 im re) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
42.0ms	re	@	0	((/ (atan2 im re) (log 10)) (atan2 im re) (log 10))
9.0ms	im	@	inf	((/ (atan2 im re) (log 10)) (atan2 im re) (log 10))
8.0ms	re	@	-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))
6.0ms	re	@	inf	((/ (atan2 im re) (log 10)) (atan2 im re) (log 10))

simplify3.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	216
0	6	216

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 48

Calls

Call 1

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

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

rewrite107.0ms (4.1%)

Memory

-14.0MiB live, 68.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
0	9	11
1	17	11
2	55	11
3	214	11
0	1201	11

Stop Event

1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Counts

3 → 118

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
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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#<batchref>
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#<batchref>
#<batchref>
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#<batchref>
#<batchref>
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#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval28.0ms (1.1%)

Memory: 5.2MiB live, 42.7MiB allocated
Compiler: Compiled 1 972 to 286 computations (85.5% saved)

prune12.0ms (0.4%)

Memory

-5.3MiB live, 31.6MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	161	5	166
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	161	6	167

Accuracy

100.0%

Counts

167 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
▶	99.8%	(/.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)))
▶	98.2%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)))
▶	99.3%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re)))
▶	98.8%	(.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (atan2.f64 im re)))

Compiler

Compiled 98 to 88 computations (10.2% saved)

simplify11.0ms (0.4%)

Memory

16.7MiB live, 16.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (atan2.f64 im re))
cost-diff	0	(log.f64 #s(literal 10 binary64))
cost-diff	0	(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64))
cost-diff	19264	(.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (atan2.f64 im re)))
cost-diff	0	(/.f64 #s(literal -1 binary64) (atan2.f64 im re))
cost-diff	0	(log.f64 #s(literal 1/10 binary64))
cost-diff	0	(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64))
cost-diff	7040	(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(log.f64 #s(literal 10 binary64))
cost-diff	0	(/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)))
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(log.f64 #s(literal 1/10 binary64))
cost-diff	0	(/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re))
cost-diff	576	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re)))
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: 2 (0.0ms)

Iter	Nodes	Cost
0	22	126
0	37	117
1	54	117
2	78	113
3	100	113
4	167	113
5	204	113
6	240	113
7	258	113
8	280	113
9	306	113
10	308	113
0	308	113

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)
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re)))
#s(literal -1 binary64)
(/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re))
(log.f64 #s(literal 1/10 binary64))
#s(literal 1/10 binary64)
(atan2.f64 im re)
im
re
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)))
#s(literal 1 binary64)
(/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re))
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
(atan2.f64 im re)
im
re
(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64))
(log.f64 #s(literal 1/10 binary64))
#s(literal 1/10 binary64)
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) (atan2.f64 im re))
(atan2.f64 im re)
im
re
(.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (atan2.f64 im re)))
(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64))
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
#s(literal -1/2 binary64)
(*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (atan2.f64 im re))
(atan2.f64 im re)
im
re

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)
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
#s(literal -1 binary64)
(/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re))
(log.f64 #s(literal 1/10 binary64))
#s(literal 1/10 binary64)
(atan2.f64 im re)
im
re
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
#s(literal 1 binary64)
(/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re))
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
(atan2.f64 im re)
im
re
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64))
(log.f64 #s(literal 1/10 binary64))
#s(literal 1/10 binary64)
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) (atan2.f64 im re))
(atan2.f64 im re)
im
re
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64))
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
#s(literal -1/2 binary64)
(*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (atan2.f64 im re))
(atan2.f64 im re)
im
re

localize87.0ms (3.3%)

Memory

3.3MiB live, 122.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(atan2.f64 im re)
accuracy	0	(log.f64 #s(literal 10 binary64))
accuracy	0.05078125	(*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (atan2.f64 im re))
accuracy	0.76171875	(.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (atan2.f64 im re)))
accuracy	0.0703125	(/.f64 #s(literal -1 binary64) (atan2.f64 im re))
accuracy	1.0	(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64))
accuracy	1.0	(log.f64 #s(literal 1/10 binary64))
accuracy	1.0933570680830629	(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
accuracy	0	(atan2.f64 im re)
accuracy	0	(log.f64 #s(literal 10 binary64))
accuracy	0.3589820680830628	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)))
accuracy	0.8607025390737681	(/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re))
accuracy	0	(atan2.f64 im re)
accuracy	0.3589820680830628	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re)))
accuracy	0.8607025390737681	(/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re))
accuracy	1.0	(log.f64 #s(literal 1/10 binary64))
accuracy	0	(atan2.f64 im re)
accuracy	0	(neg.f64 (log.f64 #s(literal 1/10 binary64)))
accuracy	0.8483200195368841	(/.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

64.0ms

256×

valid

Compiler

Compiled 254 to 46 computations (81.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-div: 17.0ms (35.8% of total)

ival-pow: 10.0ms (21% of total)

ival-log: 6.0ms (12.6% of total)

ival-mult: 5.0ms (10.5% of total)

const: 4.0ms (8.4% of total)

ival-atan2: 2.0ms (4.2% of total)

ival-neg: 1.0ms (2.1% of total)

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

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

exact: 0.0ms (0% of total)

series128.0ms (4.9%)

Memory

7.2MiB live, 192.3MiB allocated

Counts

15 → 240

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (atan2.f64 im re) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 (log.f64 #s(literal 1/10 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (log.f64 #s(literal 1/10 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (log.f64 #s(literal 10 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (atan2.f64 im re))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (atan2.f64 im re)) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (atan2.f64 im re)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
30.0ms	re	@	0	((/ (atan2 im re) (neg (log 1/10))) (atan2 im re) (neg (log 1/10)) (log 1/10) (/ -1 (/ (log 1/10) (atan2 im re))) (/ (log 1/10) (atan2 im re)) (/ 1 (/ (log 10) (atan2 im re))) (/ (log 10) (atan2 im re)) (log 10) (/ (pow (log 1/10) -1) (/ -1 (atan2 im re))) (pow (log 1/10) -1) (/ -1 (atan2 im re)) (* (pow (log 10) -1/2) (* (pow (log 10) -1/2) (atan2 im re))) (pow (log 10) -1/2) (* (pow (log 10) -1/2) (atan2 im re)))
23.0ms	re	@	-inf	((/ (atan2 im re) (neg (log 1/10))) (atan2 im re) (neg (log 1/10)) (log 1/10) (/ -1 (/ (log 1/10) (atan2 im re))) (/ (log 1/10) (atan2 im re)) (/ 1 (/ (log 10) (atan2 im re))) (/ (log 10) (atan2 im re)) (log 10) (/ (pow (log 1/10) -1) (/ -1 (atan2 im re))) (pow (log 1/10) -1) (/ -1 (atan2 im re)) (* (pow (log 10) -1/2) (* (pow (log 10) -1/2) (atan2 im re))) (pow (log 10) -1/2) (* (pow (log 10) -1/2) (atan2 im re)))
18.0ms	re	@	inf	((/ (atan2 im re) (neg (log 1/10))) (atan2 im re) (neg (log 1/10)) (log 1/10) (/ -1 (/ (log 1/10) (atan2 im re))) (/ (log 1/10) (atan2 im re)) (/ 1 (/ (log 10) (atan2 im re))) (/ (log 10) (atan2 im re)) (log 10) (/ (pow (log 1/10) -1) (/ -1 (atan2 im re))) (pow (log 1/10) -1) (/ -1 (atan2 im re)) (* (pow (log 10) -1/2) (* (pow (log 10) -1/2) (atan2 im re))) (pow (log 10) -1/2) (* (pow (log 10) -1/2) (atan2 im re)))
17.0ms	im	@	-inf	((/ (atan2 im re) (neg (log 1/10))) (atan2 im re) (neg (log 1/10)) (log 1/10) (/ -1 (/ (log 1/10) (atan2 im re))) (/ (log 1/10) (atan2 im re)) (/ 1 (/ (log 10) (atan2 im re))) (/ (log 10) (atan2 im re)) (log 10) (/ (pow (log 1/10) -1) (/ -1 (atan2 im re))) (pow (log 1/10) -1) (/ -1 (atan2 im re)) (* (pow (log 10) -1/2) (* (pow (log 10) -1/2) (atan2 im re))) (pow (log 10) -1/2) (* (pow (log 10) -1/2) (atan2 im re)))
16.0ms	im	@	0	((/ (atan2 im re) (neg (log 1/10))) (atan2 im re) (neg (log 1/10)) (log 1/10) (/ -1 (/ (log 1/10) (atan2 im re))) (/ (log 1/10) (atan2 im re)) (/ 1 (/ (log 10) (atan2 im re))) (/ (log 10) (atan2 im re)) (log 10) (/ (pow (log 1/10) -1) (/ -1 (atan2 im re))) (pow (log 1/10) -1) (/ -1 (atan2 im re)) (* (pow (log 10) -1/2) (* (pow (log 10) -1/2) (atan2 im re))) (pow (log 10) -1/2) (* (pow (log 10) -1/2) (atan2 im re)))

simplify13.0ms (0.5%)

Memory

-16.9MiB live, 18.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	1488
1	25	1488
2	31	1488
3	37	1488
4	47	1488
5	53	1488
6	61	1488
7	75	1488
8	94	1488
9	109	1488
10	112	1488
0	112	1488

Stop Event

1×	iter limit
1×	saturated

Counts

240 → 240

Calls

Call 1

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

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

rewrite92.0ms (3.5%)

Memory

10.1MiB live, 173.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	89
0	37	72
1	107	72
2	375	72
0	2303	72

Stop Event

1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Counts

15 → 1 056

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))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re)))
(/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)))
(/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re))
(log.f64 #s(literal 10 binary64))
(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (atan2.f64 im re))
(.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (atan2.f64 im re)))
(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (atan2.f64 im re))

Outputs
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eval236.0ms (9%)

Memory: 2.0MiB live, 389.3MiB allocated
Compiler: Compiled 24 743 to 1 718 computations (93.1% saved)

prune90.0ms (3.4%)

Memory

-23.8MiB live, 121.2MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	1 646	1	1 647
Fresh	0	0	0
Picked	1	4	5
Done	0	1	1
Total	1 647	6	1 653

Accuracy

100.0%

Counts

1 653 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.3%	(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
✓	99.8%	(/.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)))
✓	98.2%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)))
✓	99.3%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re)))
▶	98.8%	(.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(approx ( (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re))))

Compiler

Compiled 62 to 57 computations (8.1% saved)

simplify3.0ms (0.1%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (* (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)))
cost-diff	0	(log.f64 #s(literal 10 binary64))
cost-diff	0	(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64))
cost-diff	0	(.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(approx ( (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	73
0	23	73
1	28	73
0	28	73

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(approx ( (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re))))
(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64))
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
#s(literal -1/2 binary64)
#s(approx (* (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))))
(/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))
#s(literal 1 binary64)
(atan2.f64 im re)
im
re

Outputs
(.f64 #s(approx ( (pow (log 10) -1/2) (atan2 im re)) (*.f64 (atan2.f64 im re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))))) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)))
(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64))
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
#s(literal -1/2 binary64)
#s(approx (* (pow (log 10) -1/2) (atan2 im re)) (*.f64 (atan2.f64 im re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))))))
(*.f64 (atan2.f64 im re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))))
(/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))
#s(literal 1 binary64)
(atan2.f64 im re)
im
re

localize63.0ms (2.4%)

Memory

5.2MiB live, 41.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	#s(approx (* (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)))
accuracy	0.05078125	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re))
accuracy	0.76171875	(.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(approx ( (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re))))
accuracy	1.0	(/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))

Samples

54.0ms

256×

valid

Compiler

Compiled 128 to 34 computations (73.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-pow: 5.0ms (27.2% of total)

ival-mult: 4.0ms (21.8% of total)

ival-log: 3.0ms (16.3% of total)

ival-div: 2.0ms (10.9% of total)

ival-atan2: 2.0ms (10.9% of total)

ival-sqrt: 2.0ms (10.9% of total)

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

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

exact: 0.0ms (0% of total)

series64.0ms (2.4%)

Memory

4.7MiB live, 78.5MiB allocated

Counts

6 → 72

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(approx ( (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (log.f64 #s(literal 10 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (* (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(approx ( (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(approx ( (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(approx ( (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(approx ( (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (* (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (* (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (* (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (* (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(approx ( (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(approx ( (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(approx ( (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(approx ( (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch #s(approx (* (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch #s(approx (* (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch #s(approx (* (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch #s(approx (* (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(approx ( (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(approx ( (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(approx ( (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor 0 im) (#s(alt #<batchref> (patch (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(approx ( (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 im) (#s(alt #<batchref> (patch (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(approx ( (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor 0 im) (#s(alt #<batchref> (patch #s(approx (* (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 im) (#s(alt #<batchref> (patch #s(approx (* (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 im) (#s(alt #<batchref> (patch #s(approx (* (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 im) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 im) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 im) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 im) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(approx ( (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(approx ( (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(approx ( (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(approx ( (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch #s(approx (* (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch #s(approx (* (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch #s(approx (* (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch #s(approx (* (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(approx ( (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(approx ( (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(approx ( (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(approx ( (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch #s(approx (* (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch #s(approx (* (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch #s(approx (* (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch #s(approx (* (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
18.0ms	im	@	-inf	((* (pow (log 10) -1/2) (* (pow (log 10) -1/2) (atan2 im re))) (pow (log 10) -1/2) (log 10) (* (pow (log 10) -1/2) (atan2 im re)) (/ 1 (log 10)) (* (sqrt (/ 1 (log 10))) (atan2 im re)))
15.0ms	re	@	-inf	((* (pow (log 10) -1/2) (* (pow (log 10) -1/2) (atan2 im re))) (pow (log 10) -1/2) (log 10) (* (pow (log 10) -1/2) (atan2 im re)) (/ 1 (log 10)) (* (sqrt (/ 1 (log 10))) (atan2 im re)))
7.0ms	re	@	0	((* (pow (log 10) -1/2) (* (pow (log 10) -1/2) (atan2 im re))) (pow (log 10) -1/2) (log 10) (* (pow (log 10) -1/2) (atan2 im re)) (/ 1 (log 10)) (* (sqrt (/ 1 (log 10))) (atan2 im re)))
7.0ms	im	@	inf	((* (pow (log 10) -1/2) (* (pow (log 10) -1/2) (atan2 im re))) (pow (log 10) -1/2) (log 10) (* (pow (log 10) -1/2) (atan2 im re)) (/ 1 (log 10)) (* (sqrt (/ 1 (log 10))) (atan2 im re)))
7.0ms	re	@	inf	((* (pow (log 10) -1/2) (* (pow (log 10) -1/2) (atan2 im re))) (pow (log 10) -1/2) (log 10) (* (pow (log 10) -1/2) (atan2 im re)) (/ 1 (log 10)) (* (sqrt (/ 1 (log 10))) (atan2 im re)))

simplify4.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	576
1	13	576
0	13	576

Stop Event

1×	iter limit
1×	saturated

Counts

72 → 72

Calls

Call 1

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

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

rewrite51.0ms (2%)

Memory

-13.9MiB live, 32.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	60
0	23	60
1	49	52
2	128	51
0	468	51

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

6 → 124

Calls

Call 1

Inputs
(.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(approx ( (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re))))
(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64))
(log.f64 #s(literal 10 binary64))
#s(approx (* (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re))

Outputs
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eval44.0ms (1.7%)

Memory: 8.1MiB live, 46.0MiB allocated
Compiler: Compiled 5 487 to 563 computations (89.7% saved)

prune7.0ms (0.3%)

Memory

18.7MiB live, 18.7MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	210	1	211
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	211	6	217

Accuracy

100.0%

Counts

217 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.3%	(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
✓	99.8%	(/.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)))
✓	98.2%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)))
✓	99.3%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re)))
▶	98.8%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 #s(literal 10 binary64)))) #s(approx ( (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re))))

Compiler

Compiled 63 to 57 computations (9.5% saved)

simplify4.0ms (0.2%)

Memory

5.1MiB live, 5.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f64 #s(literal 10 binary64))
cost-diff	0	(sqrt.f64 (log.f64 #s(literal 10 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 #s(literal 10 binary64))))
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 #s(literal 10 binary64)))) #s(approx ( (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re))))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	77
0	26	77
1	33	75
2	37	75
3	44	75
4	44	75
0	44	75

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 #s(literal 10 binary64)))) #s(approx ( (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 #s(literal 10 binary64))))
#s(literal 1 binary64)
(sqrt.f64 (log.f64 #s(literal 10 binary64)))
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
#s(approx (* (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))))
(/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))
(atan2.f64 im re)
im
re

Outputs
(/.f64 #s(approx (* (pow (log 10) -1/2) (atan2 im re)) (*.f64 (atan2.f64 im re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))))) (sqrt.f64 (log.f64 #s(literal 10 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 #s(literal 10 binary64))))
#s(literal 1 binary64)
(sqrt.f64 (log.f64 #s(literal 10 binary64)))
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
#s(approx (* (pow (log 10) -1/2) (atan2 im re)) (*.f64 (atan2.f64 im re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))))))
(*.f64 (atan2.f64 im re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))))
(/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))
(atan2.f64 im re)
im
re

localize51.0ms (2%)

Memory

-15.2MiB live, 59.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	#s(approx (* (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)))
accuracy	0.05078125	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re))
accuracy	0.76171875	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 #s(literal 10 binary64)))) #s(approx ( (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re))))
accuracy	1.0	(/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))

Samples

31.0ms

256×

valid

Compiler

Compiled 136 to 36 computations (73.5% saved)

Precisions

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

ival-pow: 5.0ms (23.4% of total)

ival-mult: 4.0ms (18.7% of total)

ival-div: 3.0ms (14% of total)

ival-log: 3.0ms (14% of total)

ival-sqrt: 3.0ms (14% of total)

ival-atan2: 2.0ms (9.3% of total)

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

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

exact: 0.0ms (0% of total)

series107.0ms (4.1%)

Memory

7.8MiB live, 84.1MiB allocated

Counts

7 → 72

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 #s(literal 10 binary64)))) #s(approx ( (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 #s(literal 10 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (log.f64 #s(literal 10 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (* (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re))) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 #s(literal 10 binary64)))) #s(approx ( (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 #s(literal 10 binary64)))) #s(approx ( (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 #s(literal 10 binary64)))) #s(approx ( (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 #s(literal 10 binary64)))) #s(approx ( (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (* (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (* (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (* (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (* (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 #s(literal 10 binary64)))) #s(approx ( (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 #s(literal 10 binary64)))) #s(approx ( (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 #s(literal 10 binary64)))) #s(approx ( (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 #s(literal 10 binary64)))) #s(approx ( (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch #s(approx (* (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch #s(approx (* (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch #s(approx (* (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch #s(approx (* (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 #s(literal 10 binary64)))) #s(approx ( (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch #s(approx (* (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch #s(approx (* (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch #s(approx (* (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch #s(approx (* (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
65.0ms	re	@	inf	((* (/ 1 (sqrt (log 10))) (* (pow (log 10) -1/2) (atan2 im re))) (/ 1 (sqrt (log 10))) (sqrt (log 10)) (log 10) (/ 1 (log 10)) (* (sqrt (/ 1 (log 10))) (atan2 im re)) (* (pow (log 10) -1/2) (atan2 im re)))
10.0ms	im	@	inf	((* (/ 1 (sqrt (log 10))) (* (pow (log 10) -1/2) (atan2 im re))) (/ 1 (sqrt (log 10))) (sqrt (log 10)) (log 10) (/ 1 (log 10)) (* (sqrt (/ 1 (log 10))) (atan2 im re)) (* (pow (log 10) -1/2) (atan2 im re)))
7.0ms	im	@	0	((* (/ 1 (sqrt (log 10))) (* (pow (log 10) -1/2) (atan2 im re))) (/ 1 (sqrt (log 10))) (sqrt (log 10)) (log 10) (/ 1 (log 10)) (* (sqrt (/ 1 (log 10))) (atan2 im re)) (* (pow (log 10) -1/2) (atan2 im re)))
7.0ms	re	@	-inf	((* (/ 1 (sqrt (log 10))) (* (pow (log 10) -1/2) (atan2 im re))) (/ 1 (sqrt (log 10))) (sqrt (log 10)) (log 10) (/ 1 (log 10)) (* (sqrt (/ 1 (log 10))) (atan2 im re)) (* (pow (log 10) -1/2) (atan2 im re)))
7.0ms	re	@	0	((* (/ 1 (sqrt (log 10))) (* (pow (log 10) -1/2) (atan2 im re))) (/ 1 (sqrt (log 10))) (sqrt (log 10)) (log 10) (/ 1 (log 10)) (* (sqrt (/ 1 (log 10))) (atan2 im re)) (* (pow (log 10) -1/2) (atan2 im re)))

simplify4.0ms (0.1%)

Memory

11.1MiB live, 11.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	576
1	13	576
0	13	576

Stop Event

1×	iter limit
1×	saturated

Counts

72 → 72

Calls

Call 1

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

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

rewrite67.0ms (2.5%)

Memory

8.7MiB live, 82.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	65
0	26	65
1	61	54
2	180	54
0	725	54

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

7 → 203

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 #s(literal 10 binary64)))) #s(approx ( (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 #s(literal 10 binary64))))
(sqrt.f64 (log.f64 #s(literal 10 binary64)))
(log.f64 #s(literal 10 binary64))
(/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re))
#s(approx (* (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re)))

Outputs
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eval84.0ms (3.2%)

Memory: -31.7MiB live, 95.4MiB allocated
Compiler: Compiled 7 748 to 822 computations (89.4% saved)

prune11.0ms (0.4%)

Memory

-6.9MiB live, 31.2MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	290	0	290
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	290	6	296

Accuracy

100.0%

Counts

296 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.3%	(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
✓	99.8%	(/.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)))
✓	98.2%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)))
✓	99.3%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re)))
✓	98.8%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 #s(literal 10 binary64)))) #s(approx ( (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re))))

Compiler

Compiled 162 to 94 computations (42% saved)

regimes12.0ms (0.4%)

Memory

29.3MiB live, 29.3MiB allocated

Counts

8 → 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))))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)))
(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 #s(literal 10 binary64)))) #s(approx ( (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re))))
(.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(approx ( (pow (log 10) -1/2) (atan2 im re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (atan2.f64 im re))))
(.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (atan2.f64 im re)))

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

Calls

4 calls:

3.0ms	im
3.0ms	re
3.0ms	(atan2.f64 im re)
3.0ms	(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))

Results

Accuracy	Segments	Branch
99.8%	1	`re`
99.8%	1	`im`
99.8%	1	`(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))`
99.8%	1	`(atan2.f64 im re)`

Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes10.0ms (0.4%)

Memory

-33.6MiB live, 12.6MiB allocated

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:

6.0ms	(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
1.0ms	im
1.0ms	re
1.0ms	(atan2.f64 im re)

Results

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

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify22.0ms (0.8%)

Memory

-2.3MiB live, 36.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	16	13
2	22	13
3	27	13
4	30	13
5	31	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)))

soundness48.0ms (1.8%)

Memory

19.4MiB live, 58.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
0	9	11
1	17	11
2	55	11
3	214	11
0	1201	11

Stop Event

1×	done
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 26 to 20 computations (23.1% saved)

preprocess24.0ms (0.9%)

Memory: 19.7MiB live, 58.3MiB allocated
Compiler: Compiled 38 to 32 computations (15.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	14	36
1	31	36
2	45	36
3	65	36
4	83	36
5	104	36
6	129	36
7	146	36
8	151	36
9	153	36
0	6	6
0	9	6
0	9	6

Iter	Nodes	Cost
0	22	126
0	37	117
1	54	117
2	78	113
3	100	113
4	167	113
5	204	113
6	240	113
7	258	113
8	280	113
9	306	113
10	308	113
0	308	113

Iter	Nodes	Cost
0	14	36
1	31	36
2	45	36
3	65	36
4	83	36
5	104	36
6	129	36
7	146	36
8	151	36
9	153	36
0	6	6
0	9	6
0	9	6

Iter	Nodes	Cost
0	22	126
0	37	117
1	54	117
2	78	113
3	100	113
4	167	113
5	204	113
6	240	113
7	258	113
8	280	113
9	306	113
10	308	113
0	308	113

start0.0ms (0%)

analyze2.0ms (0.1%)

sample904.0ms (34.4%)

explain69.0ms (2.6%)

preprocess36.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify2.0ms (0.1%)

localize48.0ms (1.8%)

series79.0ms (3%)

simplify3.0ms (0.1%)

rewrite107.0ms (4.1%)

eval28.0ms (1.1%)

prune12.0ms (0.4%)

simplify11.0ms (0.4%)

localize87.0ms (3.3%)

series128.0ms (4.9%)

simplify13.0ms (0.5%)

rewrite92.0ms (3.5%)

eval236.0ms (9%)

prune90.0ms (3.4%)

simplify3.0ms (0.1%)

localize63.0ms (2.4%)

series64.0ms (2.4%)

simplify4.0ms (0.1%)

rewrite51.0ms (2%)

eval44.0ms (1.7%)

prune7.0ms (0.3%)

simplify4.0ms (0.2%)

localize51.0ms (2%)

series107.0ms (4.1%)

simplify4.0ms (0.1%)

rewrite67.0ms (2.5%)

eval84.0ms (3.2%)

prune11.0ms (0.4%)

regimes12.0ms (0.4%)

regimes10.0ms (0.4%)

simplify22.0ms (0.8%)

soundness48.0ms (1.8%)

preprocess24.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	14	36
1	31	36
2	45	36
3	65	36
4	83	36
5	104	36
6	129	36
7	146	36
8	151	36
9	153	36
0	6	6
0	9	6
0	9	6

Iter	Nodes	Cost
0	22	126
0	37	117
1	54	117
2	78	113
3	100	113
4	167	113
5	204	113
6	240	113
7	258	113
8	280	113
9	306	113
10	308	113
0	308	113