Metrics for math.log10 on complex, real part

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze63.0ms (1%)

Memory

29.3MiB live, 108.2MiB 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
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
18.8%	18.7%	81.2%	0.1%	0%	0%	0%	5
34.4%	34.3%	65.6%	0.1%	0%	0%	0%	6
54.7%	54.6%	45.3%	0.1%	0%	0%	0%	7
64.8%	64.8%	35.1%	0.1%	0%	0%	0%	8
76.2%	76.1%	23.8%	0.1%	0%	0%	0%	9
81.8%	81.8%	18.1%	0.1%	0%	0%	0%	10
87.8%	87.7%	12.2%	0.1%	0%	0%	0%	11
90.8%	90.7%	9.2%	0.1%	0%	0%	0%	12

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample941.0ms (14.3%)

Memory

1.8MiB live, 1 513.6MiB allocated

Samples

679.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 469.0ms

ival-log: 217.0ms (46.2% of total)

ival-hypot: 178.0ms (37.9% of total)

ival-div: 57.0ms (12.1% of total)

ival-true: 7.0ms (1.5% of total)

exact: 6.0ms (1.3% of total)

ival-assert: 4.0ms (0.9% of total)

Bogosity

explain156.0ms (2.4%)

Memory

-27.5MiB live, 213.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
119	-	-	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
0	-	-	`(log.f64 #s(literal 10 binary64))`
0	-	-	`(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))`
0	-	-	`(*.f64 re re)`
0	-	-	`im`
0	-	-	`(+.f64 (.f64 re re) (.f64 im im))`
0	-	-	`re`
0	-	-	`(*.f64 im im)`
0	-	-	`#s(literal 10 binary64)`
0	-	-	`(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`	oflow-rescue	107	0
↳	`(+.f64 (.f64 re re) (.f64 im im))`	overflow	107
↳	`(*.f64 re re)`	overflow	67
↳	`(*.f64 im im)`	overflow	56
`sqrt.f64`	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`	uflow-rescue	12	0
↳	`(+.f64 (.f64 re re) (.f64 im im))`	underflow	12
↳	`(*.f64 re re)`	underflow	50
↳	`(*.f64 im im)`	underflow	59

Confusion

	Predicted +	Predicted -
+	119	0
-	0	137

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	119	0	0
-	0	0	137

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	137
1	119

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

80.0ms

512×

valid

Compiler

Compiled 157 to 44 computations (72% saved)

Precisions

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

ival-log: 12.0ms (29.4% of total)

ival-hypot: 9.0ms (22.1% of total)

ival-add: 8.0ms (19.6% of total)

ival-mult: 7.0ms (17.2% of total)

ival-div: 3.0ms (7.4% of total)

ival-true: 1.0ms (2.5% of total)

exact: 0.0ms (0% of total)

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

preprocess19.0ms (0.3%)

Memory

27.7MiB live, 27.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	62
1	50	62
2	96	62
3	173	62
4	238	62
5	260	62
6	271	62
7	282	62
8	285	62
9	286	62
0	10	12
0	17	12
1	18	12
0	18	7

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs im)

(abs re)

(sort re im)

Compiler

Compiled 12 to 10 computations (16.7% 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, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.5%	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))

Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify3.0ms (0%)

Memory

3.7MiB live, 3.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 re re)
cost-diff	0	(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
cost-diff	0	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))
cost-diff	128	(+.f64 (.f64 re re) (.f64 im im))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	47
0	17	47
1	18	47
0	18	31

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))
(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
(+.f64 (.f64 re re) (.f64 im im))
(*.f64 re re)
re
(*.f64 im im)
im
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)

Outputs
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64)))
(log.f64 (hypot.f64 im re))
(hypot.f64 im re)
(fma.f64 im im (*.f64 re re))
(*.f64 re re)
re
(*.f64 im im)
im
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)

localize54.0ms (0.8%)

Memory

-28.4MiB live, 49.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(log.f64 #s(literal 10 binary64))
accuracy	0.0078125	(+.f64 (.f64 re re) (.f64 im im))
accuracy	0.5879288086106522	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))
accuracy	27.736938375791812	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Samples

28.0ms

256×

valid

Compiler

Compiled 96 to 22 computations (77.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-log: 6.0ms (35.3% of total)

ival-hypot: 5.0ms (29.4% of total)

ival-mult: 3.0ms (17.6% of total)

ival-div: 2.0ms (11.8% of total)

ival-add: 1.0ms (5.9% of total)

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

exact: 0.0ms (0% of total)

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

series17.0ms (0.3%)

Memory

22.3MiB live, 22.3MiB allocated

Counts

6 → 108

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 re re) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<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 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 re re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 re re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 re re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 re re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (*.f64 re re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (*.f64 re re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (*.f64 re re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (*.f64 re re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (*.f64 re re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (*.f64 re re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (*.f64 re re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (*.f64 re re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 im) (#s(alt #<batchref> (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 im) (#s(alt #<batchref> (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 im) (#s(alt #<batchref> (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 im) (#s(alt #<batchref> (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 im) (#s(alt #<batchref> (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 im) (#s(alt #<batchref> (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 im) (#s(alt #<batchref> (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 im) (#s(alt #<batchref> (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 im) (#s(alt #<batchref> (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 im) (#s(alt #<batchref> (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 im) (#s(alt #<batchref> (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 im) (#s(alt #<batchref> (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 im) (#s(alt #<batchref> (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 im) (#s(alt #<batchref> (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 im) (#s(alt #<batchref> (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 im) (#s(alt #<batchref> (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	re	@	inf	((+ (* re re) (* im im)) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (* re re) (sqrt (+ (* re re) (* im im))) (log 10))
3.0ms	re	@	0	((+ (* re re) (* im im)) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (* re re) (sqrt (+ (* re re) (* im im))) (log 10))
3.0ms	im	@	0	((+ (* re re) (* im im)) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (* re re) (sqrt (+ (* re re) (* im im))) (log 10))
2.0ms	im	@	inf	((+ (* re re) (* im im)) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (* re re) (sqrt (+ (* re re) (* im im))) (log 10))
1.0ms	re	@	-inf	((+ (* re re) (* im im)) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (* re re) (sqrt (+ (* re re) (* im im))) (log 10))

simplify224.0ms (3.4%)

Memory

0.5MiB live, 189.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	268	1676
1	730	1632
2	2203	1630
3	5799	1618
0	8392	1506

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 104

Calls

Call 1

Inputs
(pow im 2)
(+ (pow im 2) (pow re 2))
(+ (pow im 2) (pow re 2))
(+ (pow im 2) (pow re 2))
(/ (log im) (log 10))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10)))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10)))
(log im)
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))
(+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2))))))
(pow re 2)
(pow re 2)
(pow re 2)
(pow re 2)
im
(+ im (* 1/2 (/ (pow re 2) im)))
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))
(+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im)))))
(pow re 2)
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(* -1 (/ (log (/ 1 re)) (log 10)))
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))))
(* -1 (log (/ 1 re)))
(+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(pow re 2)
(pow re 2)
(pow re 2)
(pow re 2)
re
(* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(pow re 2)
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(* -1 (/ (log (/ -1 re)) (log 10)))
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))))
(* -1 (log (/ -1 re)))
(+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(pow re 2)
(pow re 2)
(pow re 2)
(pow re 2)
(* -1 re)
(* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
(pow re 2)
(+ (pow im 2) (pow re 2))
(+ (pow im 2) (pow re 2))
(+ (pow im 2) (pow re 2))
(/ (log re) (log 10))
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))) (/ (log re) (log 10)))
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log 10)))) (* 1/2 (/ 1 (* (pow re 2) (log 10)))))) (/ (log re) (log 10)))
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log 10)))) (* 1/4 (/ 1 (* (pow re 4) (log 10)))))) (* 1/2 (/ 1 (* (pow re 2) (log 10)))))) (/ (log re) (log 10)))
(log re)
(+ (log re) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (log re) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2))))))
(+ (log re) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (pow re 6))) (* 1/4 (/ 1 (pow re 4))))) (* 1/2 (/ 1 (pow re 2))))))
re
(+ re (* 1/2 (/ (pow im 2) re)))
(+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))
(+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re)))))
(pow im 2)
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(* -1 (/ (log (/ 1 im)) (log 10)))
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))))
(* -1 (log (/ 1 im)))
(+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))
(+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))
im
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(pow im 2)
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(* -1 (/ (log (/ -1 im)) (log 10)))
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))))
(* -1 (log (/ -1 im)))
(+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(* -1 im)
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))

Outputs
(*.f64 im im)
(fma.f64 im im (*.f64 re re))
(fma.f64 im im (*.f64 re re))
(fma.f64 im im (*.f64 re re))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (log.f64 #s(literal 10 binary64)) im)) (/.f64 (.f64 re re) im) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))
(fma.f64 (fma.f64 (.f64 re (/.f64 re (log.f64 #s(literal 10 binary64)))) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))) im) im)) (.f64 re re) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))
(fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 (log.f64 #s(literal 10 binary64)) im)) (/.f64 re im) (fma.f64 (pow.f64 re #s(literal 4 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) re) (pow.f64 im #s(literal 6 binary64))) (/.f64 re (log.f64 #s(literal 10 binary64))) (/.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 10 binary64))) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))))
(log.f64 im)
(fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) re) re (log.f64 im))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) re) re (log.f64 im)))
(fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) re) re (fma.f64 (pow.f64 re #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) re) (/.f64 re (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (log.f64 im)))
(*.f64 re re)
(*.f64 re re)
(*.f64 re re)
(*.f64 re re)
im
(fma.f64 (/.f64 #s(literal 1/2 binary64) im) (*.f64 re re) im)
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) re) (/.f64 re (pow.f64 im #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) im)) (.f64 re re) im)
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) re) (/.f64 re (pow.f64 im #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (.f64 re re) im))
(*.f64 re re)
(fma.f64 im im (*.f64 re re))
(fma.f64 im im (*.f64 re re))
(fma.f64 im im (*.f64 re re))
(/.f64 (log.f64 re) (log.f64 #s(literal 10 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (log.f64 #s(literal 10 binary64)) re)) (/.f64 (.f64 im im) re) (/.f64 (log.f64 re) (log.f64 #s(literal 10 binary64))))
(fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) im) (.f64 (log.f64 #s(literal 10 binary64)) re)) (/.f64 im re) (fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (/.f64 (log.f64 re) (log.f64 #s(literal 10 binary64)))))
(fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) im) (.f64 (log.f64 #s(literal 10 binary64)) re)) (/.f64 im re) (fma.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (log.f64 #s(literal 10 binary64)))) (/.f64 #s(literal 1/720 binary64) (pow.f64 re #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (/.f64 (log.f64 re) (log.f64 #s(literal 10 binary64))))))
(log.f64 re)
(fma.f64 (*.f64 #s(literal 1/2 binary64) im) (/.f64 (/.f64 im re) re) (log.f64 re))
(fma.f64 (*.f64 #s(literal 1/2 binary64) im) (/.f64 (/.f64 im re) re) (fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal -1/4 binary64) (log.f64 re)))
(fma.f64 (.f64 #s(literal 1/2 binary64) im) (/.f64 (/.f64 im re) re) (fma.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal 120 binary64) (pow.f64 re #s(literal 6 binary64))) (fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal -1/4 binary64) (log.f64 re))))
(*.f64 re re)
(*.f64 re re)
(*.f64 re re)
(*.f64 re re)
re
(fma.f64 (.f64 (/.f64 (.f64 im im) re) #s(literal 1/2 binary64)) #s(literal 1 binary64) re)
(.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) im) (/.f64 (/.f64 im re) re) #s(literal 1 binary64))) re)
(.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 re #s(literal 6 binary64))) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) im) (/.f64 (/.f64 im re) re) #s(literal 1 binary64)))) re)
(*.f64 re re)
(fma.f64 im im (*.f64 re re))
(fma.f64 im im (*.f64 re re))
(fma.f64 im im (*.f64 re re))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (neg.f64 (log.f64 #s(literal 10 binary64))))
(fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) im) (.f64 (log.f64 #s(literal 10 binary64)) re)) (/.f64 im re) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (neg.f64 (log.f64 #s(literal 10 binary64)))))
(fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) im) (.f64 (log.f64 #s(literal 10 binary64)) re)) (/.f64 im re) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (neg.f64 (log.f64 #s(literal 10 binary64))))))
(fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) im) (.f64 (log.f64 #s(literal 10 binary64)) re)) (/.f64 im re) (fma.f64 (/.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 6 binary64))) (pow.f64 re #s(literal 6 binary64))) (/.f64 #s(literal 120 binary64) (log.f64 #s(literal 10 binary64))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (/.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 #s(literal 10 binary64)))))))
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)))
(fma.f64 (*.f64 (/.f64 (/.f64 im re) re) im) #s(literal 1/2 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) re))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) im) (/.f64 im (pow.f64 re #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 re re))) (*.f64 im im) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) re))))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) im) (/.f64 im (pow.f64 re #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 re re))) im) im (fma.f64 (.f64 (/.f64 #s(literal 120 binary64) (pow.f64 re #s(literal 6 binary64))) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/720 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)))))
(*.f64 re re)
(*.f64 re re)
(*.f64 re re)
(*.f64 re re)
(neg.f64 re)
(fma.f64 (.f64 (/.f64 (.f64 im im) re) #s(literal 1/2 binary64)) #s(literal -1 binary64) (neg.f64 re))
(.f64 (fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal 1/8 binary64) (fma.f64 (.f64 #s(literal -1/2 binary64) im) (/.f64 (/.f64 im re) re) #s(literal -1 binary64))) re)
(.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal 1/8 binary64) (fma.f64 (.f64 #s(literal -1/2 binary64) im) (/.f64 (/.f64 im re) re) #s(literal -1 binary64)))) re)
(*.f64 re re)
(fma.f64 im im (*.f64 re re))
(fma.f64 im im (*.f64 re re))
(fma.f64 im im (*.f64 re re))
(/.f64 (log.f64 re) (log.f64 #s(literal 10 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (log.f64 #s(literal 10 binary64)) re)) (/.f64 (.f64 im im) re) (/.f64 (log.f64 re) (log.f64 #s(literal 10 binary64))))
(fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) im) (.f64 (log.f64 #s(literal 10 binary64)) re)) (/.f64 im re) (fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (/.f64 (log.f64 re) (log.f64 #s(literal 10 binary64)))))
(fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) im) (.f64 (log.f64 #s(literal 10 binary64)) re)) (/.f64 im re) (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) im) (pow.f64 re #s(literal 6 binary64))) (/.f64 im (log.f64 #s(literal 10 binary64))) (/.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 10 binary64))) (pow.f64 re #s(literal 4 binary64)))) (pow.f64 im #s(literal 4 binary64)) (/.f64 (log.f64 re) (log.f64 #s(literal 10 binary64)))))
(log.f64 re)
(fma.f64 (*.f64 #s(literal 1/2 binary64) im) (/.f64 (/.f64 im re) re) (log.f64 re))
(fma.f64 (*.f64 #s(literal 1/2 binary64) im) (/.f64 (/.f64 im re) re) (fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal -1/4 binary64) (log.f64 re)))
(fma.f64 (.f64 #s(literal 1/2 binary64) im) (/.f64 (/.f64 im re) re) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) im) (/.f64 im (pow.f64 re #s(literal 6 binary64))) (/.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64)))) (pow.f64 im #s(literal 4 binary64)) (log.f64 re)))
re
(fma.f64 (/.f64 #s(literal 1/2 binary64) re) (*.f64 im im) re)
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) im) (/.f64 im (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) re)) (.f64 im im) re)
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) im) (/.f64 im (pow.f64 re #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 3 binary64)))) (.f64 im im) (/.f64 #s(literal 1/2 binary64) re)) (*.f64 im im) re)
(*.f64 im im)
(fma.f64 im im (*.f64 re re))
(fma.f64 im im (*.f64 re re))
(fma.f64 im im (*.f64 re re))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (log.f64 #s(literal 10 binary64)) im)) (/.f64 (.f64 re re) im) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))
(fma.f64 (fma.f64 (.f64 re (/.f64 re (log.f64 #s(literal 10 binary64)))) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))) im) im)) (.f64 re re) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))
(fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 (log.f64 #s(literal 10 binary64)) im)) (/.f64 re im) (fma.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (log.f64 #s(literal 10 binary64)))) (/.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))))
(log.f64 im)
(fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) re) re (log.f64 im))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) re) re (log.f64 im)))
(fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) re) re (fma.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/720 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64))) (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/4 binary64) (log.f64 im))))
im
(fma.f64 (.f64 (/.f64 (.f64 re re) im) #s(literal 1/2 binary64)) #s(literal 1 binary64) im)
(fma.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 4 binary64)))) im (fma.f64 (.f64 (/.f64 (*.f64 re re) im) #s(literal 1/2 binary64)) #s(literal 1 binary64) im))
(.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 6 binary64))) (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (.f64 re re) im) #s(literal 1 binary64)))) im)
(*.f64 im im)
(fma.f64 im im (*.f64 re re))
(fma.f64 im im (*.f64 re re))
(fma.f64 im im (*.f64 re re))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 #s(literal 10 binary64))))
(fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 (log.f64 #s(literal 10 binary64)) im)) (/.f64 re im) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 #s(literal 10 binary64)))))
(fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 (log.f64 #s(literal 10 binary64)) im)) (/.f64 re im) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 #s(literal 10 binary64))))))
(fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 (log.f64 #s(literal 10 binary64)) im)) (/.f64 re im) (fma.f64 (/.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/720 binary64)) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal 120 binary64) (log.f64 #s(literal 10 binary64))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 10 binary64)))))))
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))
(fma.f64 (*.f64 (/.f64 (/.f64 re im) im) re) #s(literal 1/2 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im))))
(fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/4 binary64) (fma.f64 (*.f64 (/.f64 (/.f64 re im) im) re) #s(literal 1/2 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) re) (/.f64 re (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 im im))) re) re (fma.f64 (.f64 (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64))) (pow.f64 re #s(literal 6 binary64))) #s(literal 1/720 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))))
(neg.f64 im)
(neg.f64 (fma.f64 (.f64 (/.f64 (.f64 re re) im) #s(literal 1/2 binary64)) #s(literal 1 binary64) im))
(.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/8 binary64) (fma.f64 (.f64 #s(literal -1/2 binary64) re) (/.f64 (/.f64 re im) im) #s(literal -1 binary64))) im)
(.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) re) (/.f64 (/.f64 re im) im) #s(literal -1 binary64)))) im)

rewrite212.0ms (3.2%)

Memory

-23.5MiB live, 225.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	41
0	17	41
1	44	41
2	251	41
3	2046	41
0	8387	25

Stop Event

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

Counts

6 → 317

Calls

Call 1

Inputs
(+.f64 (.f64 re re) (.f64 im im))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))
(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
(*.f64 re re)
(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
(log.f64 #s(literal 10 binary64))

Outputs
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eval112.0ms (1.7%)

Memory: 32.5MiB live, 108.6MiB allocated
Compiler: Compiled 11 425 to 1 837 computations (83.9% saved)

prune65.0ms (1%)

Memory

-4.6MiB live, 39.3MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	411	10	421
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	412	10	422

Accuracy

100.0%

Counts

422 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.7%	(pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	74.3%	(pow.f64 (*.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #s(literal -1/2 binary64))
▶	99.0%	(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))))
	54.5%	(/.f64 (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
▶	99.1%	(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64)))
▶	54.5%	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
▶	98.5%	(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
▶	98.9%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))))
	99.1%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re))))
	73.3%	(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #s(literal -1 binary64)))

Compiler

Compiled 234 to 204 computations (12.8% saved)

simplify51.0ms (0.8%)

Memory

-23.7MiB live, 15.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
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	5888	(neg.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)))
cost-diff	7040	(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))))
cost-diff	0	(log.f64 (hypot.f64 im re))
cost-diff	0	(log.f64 #s(literal 10 binary64))
cost-diff	0	(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))))
cost-diff	0	(*.f64 re re)
cost-diff	0	(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
cost-diff	0	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
cost-diff	128	(+.f64 (.f64 re re) (.f64 im im))
cost-diff	0	(log.f64 #s(literal 10 binary64))
cost-diff	0	(log.f64 im)
cost-diff	0	#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
cost-diff	0	(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
cost-diff	0	(hypot.f64 im re)
cost-diff	0	(log.f64 (hypot.f64 im re))
cost-diff	0	(neg.f64 (log.f64 (hypot.f64 im re)))
cost-diff	0	(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	180
0	54	151
1	75	150
2	106	148
3	159	148
4	273	148
5	349	148
6	406	148
7	451	148
8	466	148
9	472	148
0	472	147

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
(/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
(neg.f64 (log.f64 (hypot.f64 re im)))
(log.f64 (hypot.f64 re im))
(hypot.f64 re im)
im
re
(log.f64 #s(literal 1/10 binary64))
#s(literal 1/10 binary64)
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
(log.f64 im)
im
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
(/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
(log.f64 (hypot.f64 re im))
(hypot.f64 re im)
(fma.f64 re re (*.f64 im im))
(*.f64 re re)
re
(*.f64 im im)
im
(neg.f64 (log.f64 #s(literal 1/10 binary64)))
(log.f64 #s(literal 1/10 binary64))
#s(literal 1/10 binary64)
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
#s(literal 1 binary64)
(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im)))
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
(log.f64 (hypot.f64 re im))
(hypot.f64 re im)
im
re
(/.f64 (log.f64 (hypot.f64 re im)) (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) (log.f64 (hypot.f64 re im)))
(pow.f64 (log.f64 (hypot.f64 re im)) #s(literal -1 binary64))
(log.f64 (hypot.f64 re im))
(hypot.f64 re im)
im
re

localize256.0ms (3.9%)

Memory

30.7MiB live, 150.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.25	(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))))
accuracy	0.296875	(pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))
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	0	(log.f64 (hypot.f64 im re))
accuracy	0	(log.f64 #s(literal 10 binary64))
accuracy	0.27734375	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))))
accuracy	0.5931625976844203	(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))
accuracy	0.0078125	(+.f64 (.f64 re re) (.f64 im im))
accuracy	0.5879288086106522	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
accuracy	1.0	(log.f64 #s(literal 1/10 binary64))
accuracy	27.736938375791812	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
accuracy	0	(log.f64 im)
accuracy	0	(log.f64 #s(literal 10 binary64))
accuracy	0.4197058531826813	#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
accuracy	0.5879288086106522	(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
accuracy	0	(neg.f64 (log.f64 (hypot.f64 im re)))
accuracy	0	(log.f64 (hypot.f64 im re))
accuracy	0.5879288086106522	(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64)))
accuracy	1.0	(log.f64 #s(literal 1/10 binary64))

Samples

167.0ms

256×

valid

Compiler

Compiled 421 to 62 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 100.0ms

ival-neg: 49.0ms (48.8% of total)

ival-log: 15.0ms (14.9% of total)

ival-div: 9.0ms (9% of total)

ival-hypot: 9.0ms (9% of total)

ival-pow: 8.0ms (8% of total)

const: 4.0ms (4% of total)

ival-mult: 3.0ms (3% of total)

ival-add: 1.0ms (1% of total)

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

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

exact: 0.0ms (0% of total)

series276.0ms (4.2%)

Memory

-14.0MiB live, 146.0MiB allocated

Counts

20 → 384

Calls

Call 1

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

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

6 calls:

Time	Variable		Point	Expression
83.0ms	im	@	0	((/ (neg (log (sqrt (+ (* im im) (* re re))))) (log 1/10)) (neg (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (log im) (log 10) (+ (* re re) (* im im)) (/ (log (sqrt (+ (* re re) (* im im)))) (neg (log 1/10))) (log (sqrt (+ (* re re) (* im im)))) (* re re) (/ 1 (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) (/ (pow (log 1/10) -1) (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1))) (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (pow (log 1/10) -1) (log 1/10) (sqrt (+ (* re re) (* im im))) (pow (log (sqrt (+ (* im im) (* re re)))) -1))
58.0ms	re	@	0	((/ (neg (log (sqrt (+ (* im im) (* re re))))) (log 1/10)) (neg (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (log im) (log 10) (+ (* re re) (* im im)) (/ (log (sqrt (+ (* re re) (* im im)))) (neg (log 1/10))) (log (sqrt (+ (* re re) (* im im)))) (* re re) (/ 1 (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) (/ (pow (log 1/10) -1) (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1))) (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (pow (log 1/10) -1) (log 1/10) (sqrt (+ (* re re) (* im im))) (pow (log (sqrt (+ (* im im) (* re re)))) -1))
58.0ms	im	@	inf	((/ (neg (log (sqrt (+ (* im im) (* re re))))) (log 1/10)) (neg (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (log im) (log 10) (+ (* re re) (* im im)) (/ (log (sqrt (+ (* re re) (* im im)))) (neg (log 1/10))) (log (sqrt (+ (* re re) (* im im)))) (* re re) (/ 1 (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) (/ (pow (log 1/10) -1) (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1))) (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (pow (log 1/10) -1) (log 1/10) (sqrt (+ (* re re) (* im im))) (pow (log (sqrt (+ (* im im) (* re re)))) -1))
16.0ms	im	@	-inf	((/ (neg (log (sqrt (+ (* im im) (* re re))))) (log 1/10)) (neg (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (log im) (log 10) (+ (* re re) (* im im)) (/ (log (sqrt (+ (* re re) (* im im)))) (neg (log 1/10))) (log (sqrt (+ (* re re) (* im im)))) (* re re) (/ 1 (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) (/ (pow (log 1/10) -1) (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1))) (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (pow (log 1/10) -1) (log 1/10) (sqrt (+ (* re re) (* im im))) (pow (log (sqrt (+ (* im im) (* re re)))) -1))
6.0ms	re	@	inf	((/ (neg (log (sqrt (+ (* im im) (* re re))))) (log 1/10)) (neg (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (log im) (log 10) (+ (* re re) (* im im)) (/ (log (sqrt (+ (* re re) (* im im)))) (neg (log 1/10))) (log (sqrt (+ (* re re) (* im im)))) (* re re) (/ 1 (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) (/ (pow (log 1/10) -1) (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1))) (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (pow (log 1/10) -1) (log 1/10) (sqrt (+ (* re re) (* im im))) (pow (log (sqrt (+ (* im im) (* re re)))) -1))

simplify322.0ms (4.9%)

Memory

16.9MiB live, 209.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	911	9804
1	2764	9530
0	8254	9064

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 376

Calls

Call 1

Inputs
(* -1 (/ (log im) (log 1/10)))
(+ (* -1 (/ (log im) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))))
(+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (* (pow im 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))))
(+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (* (pow im 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow im 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))))
(* -1 (log im))
(- (* -1/2 (/ (pow re 2) (pow im 2))) (log im))
(- (* (pow re 2) (- (* 1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))) (log im))
(- (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2))))) (log im))
(log im)
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))
(+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2))))))
im
(+ im (* 1/2 (/ (pow re 2) im)))
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))
(+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im)))))
(/ (log im) (log 10))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10)))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10)))
(log im)
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))
(+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2))))))
(pow im 2)
(+ (pow im 2) (pow re 2))
(+ (pow im 2) (pow re 2))
(+ (pow im 2) (pow re 2))
(* -1 (/ (log im) (log 1/10)))
(+ (* -1 (/ (log im) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))))
(+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (* (pow im 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))))
(+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (* (pow im 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow im 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))))
(log im)
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))
(+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2))))))
(pow re 2)
(pow re 2)
(pow re 2)
(pow re 2)
(/ (log im) (log 10))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10)))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10)))
(/ (log 10) (log im))
(+ (* -1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log im) 2)))) (/ (log 10) (log im)))
(+ (* (pow re 2) (- (* -1 (* (pow re 2) (+ (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ (log 10) (* (pow im 2) (pow (log im) 2)))))) (/ (log 10) (log im)))
(+ (* (pow re 2) (- (* (pow re 2) (- (* -1 (* (pow re 2) (+ (* -1/2 (/ (+ (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 3))))) (* (pow im 2) (log im)))) (+ (* 1/8 (/ (log 10) (* (pow im 6) (pow (log im) 3)))) (* 1/6 (/ (log 10) (* (pow im 6) (pow (log im) 2)))))))) (+ (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ (log 10) (* (pow im 2) (pow (log im) 2)))))) (/ (log 10) (log im)))
(* -1 (/ (log im) (log 1/10)))
(+ (* -1 (/ (log im) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))))
(+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (* (pow im 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))))
(+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (* (pow im 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow im 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))))
(/ -1 (log im))
(- (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log im) 2)))) (/ 1 (log im)))
(- (* (pow re 2) (+ (* -1 (* (pow re 2) (+ (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 2)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ 1 (* (pow im 2) (pow (log im) 2)))))) (/ 1 (log im)))
(- (* (pow re 2) (+ (* (pow re 2) (- (* (pow re 2) (+ (* 1/8 (/ 1 (* (pow im 6) (pow (log im) 3)))) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 2)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 3))))) (* (pow im 2) (log im)))) (* 1/6 (/ 1 (* (pow im 6) (pow (log im) 2))))))) (+ (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 2)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ 1 (* (pow im 2) (pow (log im) 2)))))) (/ 1 (log im)))
im
(+ im (* 1/2 (/ (pow re 2) im)))
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))
(+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im)))))
(/ 1 (log im))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log im) 2)))) (/ 1 (log im)))
(+ (* (pow re 2) (- (* (pow re 2) (+ (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 2)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 3)))))) (* 1/2 (/ 1 (* (pow im 2) (pow (log im) 2)))))) (/ 1 (log im)))
(+ (* (pow re 2) (- (* (pow re 2) (+ (* -1 (* (pow re 2) (+ (* 1/8 (/ 1 (* (pow im 6) (pow (log im) 3)))) (+ (* 1/6 (/ 1 (* (pow im 6) (pow (log im) 2)))) (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 2)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 3))))) (* (pow im 2) (log im)))))))) (+ (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 2)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ 1 (* (pow im 2) (pow (log im) 2)))))) (/ 1 (log im)))
(/ (log (/ 1 re)) (log 1/10))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10)))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10))))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10)))))
(log (/ 1 re))
(- (* -1/2 (/ (pow im 2) (pow re 2))) (* -1 (log (/ 1 re))))
(- (* 1/4 (/ (pow im 4) (pow re 4))) (+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(- (* -1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(* -1 (log (/ 1 re)))
(+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))
re
(* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(* -1 (/ (log (/ 1 re)) (log 10)))
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))))
(* -1 (log (/ 1 re)))
(+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(pow re 2)
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(/ (log (/ 1 re)) (log 1/10))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10)))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10))))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10)))))
(* -1 (log (/ 1 re)))
(+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(pow re 2)
(pow re 2)
(pow re 2)
(pow re 2)
(* -1 (/ (log (/ 1 re)) (log 10)))
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))))
(* -1 (/ (log 10) (log (/ 1 re))))
(+ (* -1 (/ (log 10) (log (/ 1 re)))) (* -1/2 (/ (* (pow im 2) (log 10)) (* (pow re 2) (pow (log (/ 1 re)) 2)))))
(- (+ (* -1 (/ (log 10) (log (/ 1 re)))) (* -1 (/ (+ (* -1/4 (/ (* (pow im 4) (log 10)) (pow (log (/ 1 re)) 2))) (* 1/4 (/ (* (pow im 4) (log 10)) (pow (log (/ 1 re)) 3)))) (pow re 4)))) (* 1/2 (/ (* (pow im 2) (log 10)) (* (pow re 2) (pow (log (/ 1 re)) 2)))))
(- (+ (* -1 (/ (log 10) (log (/ 1 re)))) (* -1 (/ (+ (* -1/8 (/ (* (pow im 6) (log 10)) (pow (log (/ 1 re)) 3))) (+ (* 1/720 (/ (* (log 10) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow (log (/ 1 re)) 2))) (* 1/2 (/ (* (pow im 2) (+ (* -1/4 (/ (* (pow im 4) (log 10)) (pow (log (/ 1 re)) 2))) (* 1/4 (/ (* (pow im 4) (log 10)) (pow (log (/ 1 re)) 3))))) (log (/ 1 re)))))) (pow re 6)))) (+ (* -1/4 (/ (* (pow im 4) (log 10)) (* (pow re 4) (pow (log (/ 1 re)) 2)))) (+ (* 1/4 (/ (* (pow im 4) (log 10)) (* (pow re 4) (pow (log (/ 1 re)) 3)))) (* 1/2 (/ (* (pow im 2) (log 10)) (* (pow re 2) (pow (log (/ 1 re)) 2)))))))
(/ (log (/ 1 re)) (log 1/10))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10)))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10))))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10)))))
(/ 1 (log (/ 1 re)))
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ 1 re)) 2)))) (/ 1 (log (/ 1 re))))
(+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log (/ 1 re)) 2)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (pow (log (/ 1 re)) 3)))) (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ 1 re)) 2)))) (/ 1 (log (/ 1 re))))))
(+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log (/ 1 re)) 2)))) (+ (* -1/8 (/ (pow im 6) (* (pow re 6) (pow (log (/ 1 re)) 3)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (pow (log (/ 1 re)) 2)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (pow (log (/ 1 re)) 3)))) (+ (* 1/2 (/ (* (pow im 2) (+ (* -1/4 (/ (pow im 4) (pow (log (/ 1 re)) 2))) (* 1/4 (/ (pow im 4) (pow (log (/ 1 re)) 3))))) (* (pow re 6) (log (/ 1 re))))) (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ 1 re)) 2)))) (/ 1 (log (/ 1 re)))))))))
re
(* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(/ -1 (log (/ 1 re)))
(- (* -1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ 1 re)) 2)))) (/ 1 (log (/ 1 re))))
(- (* -1 (/ (+ (* -1/4 (/ (pow im 4) (pow (log (/ 1 re)) 2))) (* 1/4 (/ (pow im 4) (pow (log (/ 1 re)) 3)))) (pow re 4))) (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ 1 re)) 2)))) (/ 1 (log (/ 1 re)))))
(- (* -1 (/ (+ (* -1/8 (/ (pow im 6) (pow (log (/ 1 re)) 3))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow (log (/ 1 re)) 2))) (* 1/2 (/ (* (pow im 2) (+ (* -1/4 (/ (pow im 4) (pow (log (/ 1 re)) 2))) (* 1/4 (/ (pow im 4) (pow (log (/ 1 re)) 3))))) (log (/ 1 re)))))) (pow re 6))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log (/ 1 re)) 2)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (pow (log (/ 1 re)) 3)))) (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ 1 re)) 2)))) (/ 1 (log (/ 1 re)))))))
(/ (log (/ -1 re)) (log 1/10))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (/ (log (/ -1 re)) (log 1/10)))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ -1 re)) (log 1/10))))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ -1 re)) (log 1/10)))))
(log (/ -1 re))
(- (* -1/2 (/ (pow im 2) (pow re 2))) (* -1 (log (/ -1 re))))
(- (* 1/4 (/ (pow im 4) (pow re 4))) (+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(- (* -1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(* -1 (log (/ -1 re)))
(+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(* -1 re)
(* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
(* -1 (/ (log (/ -1 re)) (log 10)))
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))))
(* -1 (log (/ -1 re)))
(+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(pow re 2)
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
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(/ (log (/ -1 im)) (log 1/10))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10)))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10))))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10)))))
(log (/ -1 im))
(- (* -1/2 (/ (pow re 2) (pow im 2))) (* -1 (log (/ -1 im))))
(- (* 1/4 (/ (pow re 4) (pow im 4))) (+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2)))))
(- (* -1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(* -1 (log (/ -1 im)))
(+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(* -1 im)
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
(* -1 (/ (log (/ -1 im)) (log 10)))
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))
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(* -1 (log (/ -1 im)))
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(+ (log -1) (* -1 (log (/ -1 im))))
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(+ (log -1) (* -1 (log (/ -1 im))))
(pow im 2)
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(/ (log (/ -1 im)) (log 1/10))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10)))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10))))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10)))))
(* -1 (log (/ -1 im)))
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(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(* -1 (/ (log (/ -1 im)) (log 10)))
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(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))))
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(- (+ (* -1 (/ (log 10) (log (/ -1 im)))) (* -1 (/ (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3)))) (pow im 4)))) (* 1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ -1 im)) 2)))))
(- (+ (* -1 (/ (log 10) (log (/ -1 im)))) (* -1 (/ (+ (* -1/8 (/ (* (pow re 6) (log 10)) (pow (log (/ -1 im)) 3))) (+ (* 1/720 (/ (* (log 10) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow (log (/ -1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log (/ -1 im)))))) (pow im 6)))) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (* (pow im 4) (pow (log (/ -1 im)) 2)))) (+ (* 1/4 (/ (* (pow re 4) (log 10)) (* (pow im 4) (pow (log (/ -1 im)) 3)))) (* 1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ -1 im)) 2)))))))
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(/ 1 (log (/ -1 im)))
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(+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 2)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 3)))) (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (/ 1 (log (/ -1 im))))))
(+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 2)))) (+ (* -1/8 (/ (pow re 6) (* (pow im 6) (pow (log (/ -1 im)) 3)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (pow (log (/ -1 im)) 2)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 3)))) (+ (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (pow re 4) (pow (log (/ -1 im)) 3))))) (* (pow im 6) (log (/ -1 im))))) (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (/ 1 (log (/ -1 im)))))))))
(* -1 im)
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
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(- (* -1 (/ (+ (* -1/4 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (pow re 4) (pow (log (/ -1 im)) 3)))) (pow im 4))) (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (/ 1 (log (/ -1 im)))))
(- (* -1 (/ (+ (* -1/8 (/ (pow re 6) (pow (log (/ -1 im)) 3))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow (log (/ -1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (pow re 4) (pow (log (/ -1 im)) 3))))) (log (/ -1 im)))))) (pow im 6))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 2)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 3)))) (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (/ 1 (log (/ -1 im)))))))

Outputs
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im
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(*.f64 im im)
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(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))
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(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(*.f64 im im)
(.f64 (fma.f64 (/.f64 re im) (/.f64 re im) #s(literal 1 binary64)) (.f64 im im))
(.f64 (fma.f64 (/.f64 re im) (/.f64 re im) #s(literal 1 binary64)) (.f64 im im))
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(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))
(fma.f64 (*.f64 (/.f64 re im) (/.f64 re im)) #s(literal 1/2 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im))))
(fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/4 binary64) (fma.f64 (*.f64 (/.f64 re im) (/.f64 re im)) #s(literal 1/2 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))))
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(fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 #s(literal 10 binary64))))))
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(/.f64 (neg.f64 (log.f64 #s(literal 10 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(fma.f64 (/.f64 (.f64 (/.f64 (log.f64 #s(literal 10 binary64)) im) (/.f64 (.f64 re re) im)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (neg.f64 (log.f64 #s(literal 10 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (pow.f64 im #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 (.f64 (/.f64 (log.f64 #s(literal 10 binary64)) im) (/.f64 (*.f64 re re) im)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (neg.f64 (log.f64 #s(literal 10 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)))))
(-.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) im))) (fma.f64 (.f64 #s(literal 1/720 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (log.f64 #s(literal 10 binary64))) (pow.f64 re #s(literal 6 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))))) (neg.f64 (pow.f64 im #s(literal 6 binary64)))) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) (fma.f64 (/.f64 (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 (/.f64 (log.f64 #s(literal 10 binary64)) im) (/.f64 (.f64 re re) im)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 1/10 binary64)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 1/10 binary64))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (fma.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 1/10 binary64)))))
(fma.f64 (/.f64 #s(literal -1/720 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (pow.f64 im #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (.f64 (/.f64 re im) (/.f64 re im)) (fma.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 1/10 binary64))))))
(/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(fma.f64 (/.f64 (*.f64 (/.f64 re im) (/.f64 re im)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(fma.f64 (/.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 1/4 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 re im) (/.f64 re im)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))))
(fma.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/720 binary64) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (pow.f64 im #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (pow.f64 im #s(literal 6 binary64))) (/.f64 (.f64 re re) (log.f64 (/.f64 #s(literal -1 binary64) im))) (/.f64 (.f64 (/.f64 re im) (/.f64 re im)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))))))
(neg.f64 im)
(.f64 (neg.f64 im) (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (.f64 re re) im) #s(literal 1 binary64)))
(.f64 (neg.f64 im) (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (.f64 re re) im) #s(literal 1 binary64))))
(neg.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/16 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (.f64 re re) im) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 4 binary64))))) im im))
(/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(fma.f64 (/.f64 (*.f64 (/.f64 re im) (/.f64 re im)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (neg.f64 (pow.f64 im #s(literal 4 binary64)))) (fma.f64 (/.f64 (.f64 (/.f64 re im) (/.f64 re im)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))))
(-.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (/.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) im))) (fma.f64 (/.f64 (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal 1/720 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 6 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))))) (neg.f64 (pow.f64 im #s(literal 6 binary64)))) (fma.f64 (/.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 1/4 binary64) (fma.f64 (/.f64 (.f64 (/.f64 re im) (/.f64 re im)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))))))

rewrite334.0ms (5.1%)

Memory

7.2MiB live, 239.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	138
0	54	104
1	155	103
2	712	103
3	5847	103
0	8039	102

Stop Event

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

Counts

20 → 1 262

Calls

Call 1

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

Outputs
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eval376.0ms (5.7%)

Memory: -10.8MiB live, 648.6MiB allocated
Compiler: Compiled 49 684 to 5 115 computations (89.7% saved)

prune64.0ms (1%)

Memory

-32.6MiB live, 160.4MiB allocated

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	2 122	12	2 134
Fresh	4	1	5
Picked	4	1	5
Done	0	0	0
Total	2 130	14	2 144

Accuracy

100.0%

Counts

2 144 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.7%	(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	73.7%	(/.f64 (pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
▶	98.3%	(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) #s(approx (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (/.f64 #s(literal -1 binary64) (log.f64 im))))
▶	99.0%	(/.f64 (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64)))) (log.f64 (hypot.f64 re im)))
	54.5%	(/.f64 (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
▶	54.5%	(/.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) (log.f64 #s(literal 1/10 binary64)))
▶	98.4%	(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))
✓	98.5%	(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
	98.3%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
	54.4%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)) (pow.f64 (log.f64 (fma.f64 re re (.f64 im im))) #s(literal -1 binary64))))
	54.5%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (fma.f64 re re (.f64 im im))))))
	98.4%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
	98.8%	(.f64 (/.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))
	73.0%	(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)))) #s(literal -1 binary64)))

Compiler

Compiled 435 to 366 computations (15.9% saved)

simplify101.0ms (1.5%)

Memory

39.1MiB live, 112.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f64 (hypot.f64 re im))
cost-diff	0	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
cost-diff	5824	(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64))
cost-diff	7104	(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
cost-diff	0	#s(approx (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (/.f64 #s(literal -1 binary64) (log.f64 im)))
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	0	(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) #s(approx (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (/.f64 #s(literal -1 binary64) (log.f64 im))))
cost-diff	0	(fma.f64 re re (*.f64 im im))
cost-diff	0	(log.f64 (fma.f64 re re (*.f64 im im)))
cost-diff	0	(.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im))))
cost-diff	0	(/.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) (log.f64 #s(literal 1/10 binary64)))
cost-diff	0	(log.f64 im)
cost-diff	0	#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
cost-diff	0	(neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
cost-diff	0	(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))
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	6080	(*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64))))
cost-diff	20032	(/.f64 (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64)))) (log.f64 (hypot.f64 re im)))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	230
0	64	215
1	89	213
2	148	209
3	267	202
4	516	202
5	1751	202
6	3174	202
7	4291	202
8	5133	202
9	7603	202
0	8372	202

Stop Event

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

Calls

Call 1

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

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

localize162.0ms (2.5%)

Memory

-9.5MiB live, 269.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(log.f64 #s(literal 10 binary64))
accuracy	0.08203125	(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64))
accuracy	0.383476269536884	(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
accuracy	0.4333000488422101	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
accuracy	0.23828125	(/.f64 #s(literal -1 binary64) (log.f64 im))
accuracy	0.2432653364013873	#s(approx (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (/.f64 #s(literal -1 binary64) (log.f64 im)))
accuracy	0.74609375	(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64))
accuracy	0.74609375	(log.f64 #s(literal 1/10 binary64))
accuracy	0.0078125	(fma.f64 re re (*.f64 im im))
accuracy	0.4333000488422101	(/.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) (log.f64 #s(literal 1/10 binary64)))
accuracy	0.74609375	(log.f64 #s(literal 1/10 binary64))
accuracy	25.9081612346777	(log.f64 (fma.f64 re re (*.f64 im im)))
accuracy	0	(log.f64 im)
accuracy	0.2407275858937667	#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
accuracy	0.4333000488422101	(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))
accuracy	0.74609375	(log.f64 #s(literal 1/10 binary64))
accuracy	0.21322250976844204	(/.f64 (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64)))) (log.f64 (hypot.f64 re im)))
accuracy	0.41701127930532605	(pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64))
accuracy	0.74609375	(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64))
accuracy	0.74609375	(log.f64 #s(literal 1/10 binary64))

Samples

93.0ms	191×	0	valid
35.0ms	65×	0	invalid

Compiler

Compiled 537 to 80 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-pow: 28.0ms (30.2% of total)

ival-log: 19.0ms (20.5% of total)

ival-hypot: 11.0ms (11.8% of total)

ival-div: 10.0ms (10.8% of total)

ival-mult: 6.0ms (6.5% of total)

ival-pow2: 5.0ms (5.4% of total)

ival-neg: 5.0ms (5.4% of total)

const: 4.0ms (4.3% of total)

ival-sqrt: 2.0ms (2.2% of total)

ival-add: 1.0ms (1.1% of total)

exact: 1.0ms (1.1% of total)

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

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

series86.0ms (1.3%)

Memory

17.8MiB live, 172.1MiB allocated

Counts

21 → 408

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (/.f64 (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64)))) (log.f64 (hypot.f64 re im))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64)))) #<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 (log.f64 #s(literal 1/10 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (log.f64 im) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) (log.f64 #s(literal 1/10 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (log.f64 (fma.f64 re re (*.f64 im im))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 re re (*.f64 im im)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) #s(approx (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (/.f64 #s(literal -1 binary64) (log.f64 im)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (/.f64 #s(literal -1 binary64) (log.f64 im))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (log.f64 (hypot.f64 re im)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (log.f64 im)) #<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 (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64)))) (log.f64 (hypot.f64 re im))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (/.f64 (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64)))) (log.f64 (hypot.f64 re im))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (/.f64 (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64)))) (log.f64 (hypot.f64 re im))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (/.f64 (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64)))) (log.f64 (hypot.f64 re im))) #<representation binary64>) () ())) ())
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Calls

6 calls:

Time	Variable		Point	Expression
17.0ms	im	@	-inf	((/ (* (pow (log 1/10) -1) (neg (pow (log (sqrt (+ (* re re) (* im im)))) 2))) (log (sqrt (+ (* re re) (* im im))))) (* (pow (log 1/10) -1) (neg (pow (log (sqrt (+ (* re re) (* im im)))) 2))) (pow (log 1/10) -1) (log 1/10) (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) (neg (log (sqrt (+ (* re re) (* im im))))) (log (sqrt (+ (* re re) (* im im)))) (log im) (/ (* -1/2 (log (+ (* re re) (* im im)))) (log 1/10)) (* -1/2 (log (+ (* re re) (* im im)))) (log (+ (* re re) (* im im))) (+ (* re re) (* im im)) (/ (pow (log 1/10) -1) (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1))) (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (pow (pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) 1/2) 2) (pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) 1/2) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (pow (log (sqrt (+ (* re re) (* im im)))) 2) (/ -1 (log im)) (log 10))
15.0ms	im	@	0	((/ (* (pow (log 1/10) -1) (neg (pow (log (sqrt (+ (* re re) (* im im)))) 2))) (log (sqrt (+ (* re re) (* im im))))) (* (pow (log 1/10) -1) (neg (pow (log (sqrt (+ (* re re) (* im im)))) 2))) (pow (log 1/10) -1) (log 1/10) (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) (neg (log (sqrt (+ (* re re) (* im im))))) (log (sqrt (+ (* re re) (* im im)))) (log im) (/ (* -1/2 (log (+ (* re re) (* im im)))) (log 1/10)) (* -1/2 (log (+ (* re re) (* im im)))) (log (+ (* re re) (* im im))) (+ (* re re) (* im im)) (/ (pow (log 1/10) -1) (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1))) (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (pow (pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) 1/2) 2) (pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) 1/2) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (pow (log (sqrt (+ (* re re) (* im im)))) 2) (/ -1 (log im)) (log 10))
14.0ms	im	@	inf	((/ (* (pow (log 1/10) -1) (neg (pow (log (sqrt (+ (* re re) (* im im)))) 2))) (log (sqrt (+ (* re re) (* im im))))) (* (pow (log 1/10) -1) (neg (pow (log (sqrt (+ (* re re) (* im im)))) 2))) (pow (log 1/10) -1) (log 1/10) (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) (neg (log (sqrt (+ (* re re) (* im im))))) (log (sqrt (+ (* re re) (* im im)))) (log im) (/ (* -1/2 (log (+ (* re re) (* im im)))) (log 1/10)) (* -1/2 (log (+ (* re re) (* im im)))) (log (+ (* re re) (* im im))) (+ (* re re) (* im im)) (/ (pow (log 1/10) -1) (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1))) (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (pow (pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) 1/2) 2) (pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) 1/2) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (pow (log (sqrt (+ (* re re) (* im im)))) 2) (/ -1 (log im)) (log 10))
10.0ms	re	@	inf	((/ (* (pow (log 1/10) -1) (neg (pow (log (sqrt (+ (* re re) (* im im)))) 2))) (log (sqrt (+ (* re re) (* im im))))) (* (pow (log 1/10) -1) (neg (pow (log (sqrt (+ (* re re) (* im im)))) 2))) (pow (log 1/10) -1) (log 1/10) (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) (neg (log (sqrt (+ (* re re) (* im im))))) (log (sqrt (+ (* re re) (* im im)))) (log im) (/ (* -1/2 (log (+ (* re re) (* im im)))) (log 1/10)) (* -1/2 (log (+ (* re re) (* im im)))) (log (+ (* re re) (* im im))) (+ (* re re) (* im im)) (/ (pow (log 1/10) -1) (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1))) (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (pow (pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) 1/2) 2) (pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) 1/2) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (pow (log (sqrt (+ (* re re) (* im im)))) 2) (/ -1 (log im)) (log 10))
7.0ms	re	@	0	((/ (* (pow (log 1/10) -1) (neg (pow (log (sqrt (+ (* re re) (* im im)))) 2))) (log (sqrt (+ (* re re) (* im im))))) (* (pow (log 1/10) -1) (neg (pow (log (sqrt (+ (* re re) (* im im)))) 2))) (pow (log 1/10) -1) (log 1/10) (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) (neg (log (sqrt (+ (* re re) (* im im))))) (log (sqrt (+ (* re re) (* im im)))) (log im) (/ (* -1/2 (log (+ (* re re) (* im im)))) (log 1/10)) (* -1/2 (log (+ (* re re) (* im im)))) (log (+ (* re re) (* im im))) (+ (* re re) (* im im)) (/ (pow (log 1/10) -1) (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1))) (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (pow (pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) 1/2) 2) (pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) 1/2) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (pow (log (sqrt (+ (* re re) (* im im)))) 2) (/ -1 (log im)) (log 10))

simplify323.0ms (4.9%)

Memory

-30.2MiB live, 334.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1100	10854
1	3291	10460
0	8622	9960

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

Calls

Call 1

Inputs
(* -1 (/ (log im) (log 1/10)))
(+ (* -1 (/ (log im) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))))
(+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (* (pow im 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))))
(+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (* (pow im 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow im 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))))
(* -1 (/ (pow (log im) 2) (log 1/10)))
(+ (* -1 (/ (* (pow re 2) (log im)) (* (pow im 2) (log 1/10)))) (* -1 (/ (pow (log im) 2) (log 1/10))))
(+ (* -1 (/ (pow (log im) 2) (log 1/10))) (* (pow re 2) (+ (* -1 (* (pow re 2) (+ (* -1/2 (/ (log im) (* (pow im 4) (log 1/10)))) (* 1/4 (/ 1 (* (pow im 4) (log 1/10))))))) (* -1 (/ (log im) (* (pow im 2) (log 1/10)))))))
(+ (* -1 (/ (pow (log im) 2) (log 1/10))) (* (pow re 2) (+ (* -1 (/ (log im) (* (pow im 2) (log 1/10)))) (* (pow re 2) (+ (* -1 (* (pow re 2) (- (* 1/3 (/ (log im) (* (pow im 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow im 6) (log 1/10))))))) (* -1 (+ (* -1/2 (/ (log im) (* (pow im 4) (log 1/10)))) (* 1/4 (/ 1 (* (pow im 4) (log 1/10)))))))))))
(* -1 (/ (log im) (log 1/10)))
(+ (* -1 (/ (log im) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))))
(+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (* (pow im 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))))
(+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (* (pow im 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow im 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))))
(* -1 (log im))
(- (* -1/2 (/ (pow re 2) (pow im 2))) (log im))
(- (* (pow re 2) (- (* 1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))) (log im))
(- (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2))))) (log im))
(log im)
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))
(+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2))))))
(* -1/2 (/ (log (pow im 2)) (log 1/10)))
(+ (* -1/2 (/ (log (pow im 2)) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))))
(+ (* -1/2 (/ (log (pow im 2)) (log 1/10))) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (* (pow im 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))))
(+ (* -1/2 (/ (log (pow im 2)) (log 1/10))) (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (* (pow im 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow im 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))))
(* -1/2 (log (pow im 2)))
(+ (* -1/2 (log (pow im 2))) (* -1/2 (/ (pow re 2) (pow im 2))))
(+ (* -1/2 (log (pow im 2))) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))
(+ (* -1/2 (log (pow im 2))) (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2))))))
(log (pow im 2))
(+ (log (pow im 2)) (/ (pow re 2) (pow im 2)))
(+ (log (pow im 2)) (* (pow re 2) (+ (* -1/2 (/ (pow re 2) (pow im 4))) (/ 1 (pow im 2)))))
(+ (log (pow im 2)) (* (pow re 2) (+ (* (pow re 2) (- (* 1/3 (/ (pow re 2) (pow im 6))) (* 1/2 (/ 1 (pow im 4))))) (/ 1 (pow im 2)))))
(pow im 2)
(+ (pow im 2) (pow re 2))
(+ (pow im 2) (pow re 2))
(+ (pow im 2) (pow re 2))
(* -1 (/ (log im) (log 1/10)))
(+ (* -1 (/ (log im) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))))
(+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (* (pow im 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))))
(+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (* (pow im 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow im 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))))
(/ -1 (log im))
(- (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log im) 2)))) (/ 1 (log im)))
(- (* (pow re 2) (+ (* -1 (* (pow re 2) (+ (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 2)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ 1 (* (pow im 2) (pow (log im) 2)))))) (/ 1 (log im)))
(- (* (pow re 2) (+ (* (pow re 2) (- (* (pow re 2) (+ (* 1/8 (/ 1 (* (pow im 6) (pow (log im) 3)))) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 2)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 3))))) (* (pow im 2) (log im)))) (* 1/6 (/ 1 (* (pow im 6) (pow (log im) 2))))))) (+ (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 2)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ 1 (* (pow im 2) (pow (log im) 2)))))) (/ 1 (log im)))
(/ (log im) (log 10))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10)))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10)))
(sqrt (/ (log im) (log 10)))
(+ (sqrt (/ (log im) (log 10))) (* 1/4 (* (/ (pow re 2) (pow im 2)) (sqrt (/ 1 (* (log 10) (log im)))))))
(+ (sqrt (/ (log im) (log 10))) (* (pow re 2) (+ (* -1/2 (* (* (pow re 2) (+ (* 1/4 (/ 1 (* (pow im 4) (log 10)))) (* 1/16 (/ 1 (* (pow im 4) (* (log 10) (log im))))))) (sqrt (/ (log 10) (log im))))) (* 1/4 (* (/ 1 (pow im 2)) (sqrt (/ 1 (* (log 10) (log im)))))))))
(+ (sqrt (/ (log im) (log 10))) (* (pow re 2) (+ (* 1/4 (* (/ 1 (pow im 2)) (sqrt (/ 1 (* (log 10) (log im)))))) (* (pow re 2) (+ (* -1/2 (* (sqrt (/ (log 10) (log im))) (+ (* 1/4 (/ 1 (* (pow im 4) (log 10)))) (* 1/16 (/ 1 (* (pow im 4) (* (log 10) (log im)))))))) (* 1/2 (* (* (pow re 2) (- (* 1/6 (/ 1 (* (pow im 6) (log 10)))) (* -1/4 (/ (+ (* 1/4 (/ 1 (* (pow im 4) (log 10)))) (* 1/16 (/ 1 (* (pow im 4) (* (log 10) (log im)))))) (* (pow im 2) (log im)))))) (sqrt (/ (log 10) (log im))))))))))
(/ (log im) (log 10))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10)))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10)))
(log im)
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))
(+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2))))))
(pow (log im) 2)
(+ (/ (* (pow re 2) (log im)) (pow im 2)) (pow (log im) 2))
(+ (* (pow re 2) (+ (* (pow re 2) (+ (* -1/2 (/ (log im) (pow im 4))) (* 1/4 (/ 1 (pow im 4))))) (/ (log im) (pow im 2)))) (pow (log im) 2))
(+ (* (pow re 2) (+ (* (pow re 2) (+ (* -1/2 (/ (log im) (pow im 4))) (+ (* 1/4 (/ 1 (pow im 4))) (* (pow re 2) (- (* 1/3 (/ (log im) (pow im 6))) (* 1/4 (/ 1 (pow im 6)))))))) (/ (log im) (pow im 2)))) (pow (log im) 2))
(/ (log (/ 1 re)) (log 1/10))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10)))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10))))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10)))))
(* -1 (/ (pow (log (/ 1 re)) 2) (log 1/10)))
(+ (* -1 (/ (pow (log (/ 1 re)) 2) (log 1/10))) (/ (* (pow im 2) (log (/ 1 re))) (* (pow re 2) (log 1/10))))
(+ (* -1 (/ (+ (* 1/4 (/ (pow im 4) (log 1/10))) (* 1/2 (/ (* (pow im 4) (log (/ 1 re))) (log 1/10)))) (pow re 4))) (+ (* -1 (/ (pow (log (/ 1 re)) 2) (log 1/10))) (/ (* (pow im 2) (log (/ 1 re))) (* (pow re 2) (log 1/10)))))
(+ (* -1 (/ (+ (* -1/4 (/ (pow im 6) (log 1/10))) (* -1/360 (/ (* (log (/ 1 re)) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (log 1/10)))) (pow re 6))) (+ (* -1 (/ (+ (* 1/4 (/ (pow im 4) (log 1/10))) (* 1/2 (/ (* (pow im 4) (log (/ 1 re))) (log 1/10)))) (pow re 4))) (+ (* -1 (/ (pow (log (/ 1 re)) 2) (log 1/10))) (/ (* (pow im 2) (log (/ 1 re))) (* (pow re 2) (log 1/10))))))
(/ (log (/ 1 re)) (log 1/10))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10)))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10))))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10)))))
(log (/ 1 re))
(- (* -1/2 (/ (pow im 2) (pow re 2))) (* -1 (log (/ 1 re))))
(- (* 1/4 (/ (pow im 4) (pow re 4))) (+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(- (* -1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(* -1 (log (/ 1 re)))
(+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(/ (log (/ 1 re)) (log 1/10))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10)))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10))))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* -1/6 (/ (pow im 6) (* (pow re 6) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10)))))
(log (/ 1 re))
(+ (log (/ 1 re)) (* -1/2 (/ (pow im 2) (pow re 2))))
(+ (log (/ 1 re)) (+ (* -1/2 (/ (pow im 2) (pow re 2))) (* 1/4 (/ (pow im 4) (pow re 4)))))
(+ (log (/ 1 re)) (+ (* -1/2 (/ (pow im 2) (pow re 2))) (+ (* -1/6 (/ (pow im 6) (pow re 6))) (* 1/4 (/ (pow im 4) (pow re 4))))))
(* -2 (log (/ 1 re)))
(+ (* -2 (log (/ 1 re))) (/ (pow im 2) (pow re 2)))
(+ (* -2 (log (/ 1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2))))
(+ (* -2 (log (/ 1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (+ (* 1/3 (/ (pow im 6) (pow re 6))) (/ (pow im 2) (pow re 2)))))
(pow re 2)
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(/ (log (/ 1 re)) (log 1/10))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10)))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10))))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10)))))
(/ 1 (log (/ 1 re)))
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ 1 re)) 2)))) (/ 1 (log (/ 1 re))))
(+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log (/ 1 re)) 2)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (pow (log (/ 1 re)) 3)))) (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ 1 re)) 2)))) (/ 1 (log (/ 1 re))))))
(+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log (/ 1 re)) 2)))) (+ (* -1/8 (/ (pow im 6) (* (pow re 6) (pow (log (/ 1 re)) 3)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (pow (log (/ 1 re)) 2)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (pow (log (/ 1 re)) 3)))) (+ (* 1/2 (/ (* (pow im 2) (+ (* -1/4 (/ (pow im 4) (pow (log (/ 1 re)) 2))) (* 1/4 (/ (pow im 4) (pow (log (/ 1 re)) 3))))) (* (pow re 6) (log (/ 1 re))))) (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ 1 re)) 2)))) (/ 1 (log (/ 1 re)))))))))
(* -1 (/ (log (/ 1 re)) (log 10)))
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))))
(* (sqrt (/ (log (/ 1 re)) (log 10))) (sqrt -1))
(+ (* 1/4 (* (/ (pow im 2) (* (pow re 2) (sqrt -1))) (sqrt (/ 1 (* (log 10) (log (/ 1 re))))))) (* (sqrt (/ (log (/ 1 re)) (log 10))) (sqrt -1)))
(+ (* 1/4 (* (/ (pow im 2) (* (pow re 2) (sqrt -1))) (sqrt (/ 1 (* (log 10) (log (/ 1 re))))))) (+ (* 1/2 (* (/ (- (* -1/4 (/ (pow im 4) (log 10))) (* 1/16 (/ (pow im 4) (* (log 10) (* (log (/ 1 re)) (pow (sqrt -1) 2)))))) (* (pow re 4) (sqrt -1))) (sqrt (/ (log 10) (log (/ 1 re)))))) (* (sqrt (/ (log (/ 1 re)) (log 10))) (sqrt -1))))
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(pow (log (/ 1 im)) 2)
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(log (/ -1 im))
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(- (* 1/4 (/ (pow re 4) (pow im 4))) (+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2)))))
(- (* -1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))
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(pow im 2)
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(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(pow (log (/ -1 im)) 2)
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(+ (* -1 (/ (* (pow re 2) (log (/ -1 im))) (pow im 2))) (+ (* -1/4 (/ (pow re 6) (pow im 6))) (+ (* -1/360 (/ (* (log (/ -1 im)) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (+ (* 1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/2 (/ (* (pow re 4) (log (/ -1 im))) (pow im 4))) (pow (log (/ -1 im)) 2))))))
(/ -1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/ -1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/ -1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/ -1 (+ (log -1) (* -1 (log (/ -1 im)))))

Outputs
(/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64))))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 (.f64 re re) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 (log.f64 #s(literal 1/10 binary64)) im) im))) (.f64 re re) (/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 6 binary64))) (/.f64 (.f64 re re) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 #s(literal 1/10 binary64))))) (.f64 re re) (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 (log.f64 #s(literal 1/10 binary64)) im) im))) (.f64 re re) (/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64))))
(/.f64 (neg.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64))) (log.f64 #s(literal 1/10 binary64)))
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(fma.f64 (neg.f64 (.f64 re re)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (.f64 im im)) (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 4 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))))
(fma.f64 (neg.f64 (.f64 re re)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (.f64 im im)) (fma.f64 (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64))) (pow.f64 im #s(literal 6 binary64))) #s(literal -1/360 binary64) (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 4 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))))))
(/.f64 #s(literal -1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(/.f64 #s(literal -1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(/.f64 #s(literal -1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(/.f64 #s(literal -1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))

rewrite145.0ms (2.2%)

Memory

17.8MiB live, 256.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	179
0	64	189
1	185	176
2	903	139
0	8222	139

Stop Event

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

Counts

21 → 1 494

Calls

Call 1

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

Outputs
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eval349.0ms (5.3%)

Memory: 38.0MiB live, 606.7MiB allocated
Compiler: Compiled 55 904 to 5 238 computations (90.6% saved)

prune63.0ms (1%)

Memory

-52.9MiB live, 172.6MiB allocated

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	2 171	10	2 181
Fresh	4	4	8
Picked	3	2	5
Done	0	1	1
Total	2 178	17	2 195

Accuracy

100.0%

Counts

2 195 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.8%	(pow.f64 (.f64 (sqrt.f64 (log.f64 (fma.f64 im im (.f64 re re)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))))) #s(literal 2 binary64))
	73.3%	(pow.f64 #s(approx (pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) 1/2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))) #s(literal 2 binary64))
▶	98.3%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))) #s(approx (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (/.f64 #s(literal -1 binary64) (log.f64 im))))
	98.4%	(/.f64 (/.f64 #s(literal -1 binary64) #s(approx (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (/.f64 #s(literal -1 binary64) (log.f64 im)))) (log.f64 #s(literal 10 binary64)))
	98.4%	(/.f64 (.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)) #s(literal 2 binary64)))) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
	98.3%	(/.f64 (.f64 (neg.f64 (pow.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)) #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))))
	54.5%	(/.f64 (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
✓	54.5%	(/.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) (log.f64 #s(literal 1/10 binary64)))
✓	98.4%	(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))
✓	98.5%	(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
	98.3%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
▶	98.4%	(/.f64 #s(literal 1 binary64) (.f64 #s(approx (neg (pow (log (sqrt (+ ( im im) (* re re)))) -1)) (/.f64 #s(literal -1 binary64) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))))
▶	98.4%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
	98.3%	(/.f64 #s(literal -1 binary64) (.f64 (log.f64 #s(literal 10 binary64)) #s(approx (neg (pow (log (sqrt (+ ( im im) (* re re)))) -1)) (/.f64 #s(literal -1 binary64) (log.f64 im)))))
▶	99.5%	(*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	74.3%	(sqrt.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -2 binary64)))
▶	73.0%	(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)))) #s(literal -1 binary64)))

Compiler

Compiled 601 to 473 computations (21.3% saved)

simplify32.0ms (0.5%)

Memory

7.4MiB live, 46.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
cost-diff	0	(log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
cost-diff	192	(.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)))) #s(literal -1 binary64))
cost-diff	12928	(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)))) #s(literal -1 binary64)))
cost-diff	0	#s(approx (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (/.f64 #s(literal -1 binary64) (log.f64 im)))
cost-diff	0	(log.f64 #s(literal 1/10 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64)))
cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))) #s(approx (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (/.f64 #s(literal -1 binary64) (log.f64 im))))
cost-diff	0	(log.f64 im)
cost-diff	0	(/.f64 #s(literal -1 binary64) (log.f64 im))
cost-diff	0	#s(approx (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (/.f64 #s(literal -1 binary64) (log.f64 im)))
cost-diff	0	(.f64 #s(approx (neg (pow (log (sqrt (+ ( im im) (* re re)))) -1)) (/.f64 #s(literal -1 binary64) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))
cost-diff	0	#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
cost-diff	0	(log.f64 #s(literal 1/10 binary64))
cost-diff	0	(/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
cost-diff	576	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
cost-diff	0	(hypot.f64 im re)
cost-diff	0	(log.f64 (hypot.f64 im re))
cost-diff	6080	(*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
cost-diff	6464	(pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	39	274
0	58	232
1	75	222
2	96	221
3	111	221
4	129	217
5	151	217
6	217	217
7	252	217
8	300	217
9	342	217
10	378	217
11	404	217
12	431	217
13	471	217
14	509	217
15	538	217
16	558	217
17	575	217
18	585	217
19	590	217
20	600	217
21	602	217
0	602	217

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize131.0ms (2%)

Memory

40.1MiB live, 229.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.03125	(log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
accuracy	0.2407275858937667	#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
accuracy	0.4424400879159782	(/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
accuracy	0.8065569212000411	(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)))) #s(literal -1 binary64)))
accuracy	0.23828125	(/.f64 #s(literal -1 binary64) (log.f64 im))
accuracy	0.2432653364013873	#s(approx (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (/.f64 #s(literal -1 binary64) (log.f64 im)))
accuracy	0.74609375	(/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64)))
accuracy	0.74609375	(log.f64 #s(literal 1/10 binary64))
accuracy	0.23828125	(/.f64 #s(literal -1 binary64) (log.f64 im))
accuracy	0.2432653364013873	#s(approx (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (/.f64 #s(literal -1 binary64) (log.f64 im)))
accuracy	0.4606437988422101	(.f64 #s(approx (neg (pow (log (sqrt (+ ( im im) (* re re)))) -1)) (/.f64 #s(literal -1 binary64) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))
accuracy	0.74609375	(log.f64 #s(literal 1/10 binary64))
accuracy	0.21484375	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
accuracy	0.2407275858937667	#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
accuracy	0.4424400879159782	(/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
accuracy	0.74609375	(log.f64 #s(literal 1/10 binary64))
accuracy	0	(hypot.f64 im re)
accuracy	0	(log.f64 (hypot.f64 im re))
accuracy	0	(log.f64 #s(literal 10 binary64))
accuracy	0.2265625	(*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))

Samples

85.0ms	191×	0	valid
22.0ms	65×	0	invalid

Compiler

Compiled 566 to 73 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-log: 33.0ms (40.7% of total)

ival-pow: 12.0ms (14.8% of total)

ival-div: 11.0ms (13.6% of total)

ival-hypot: 9.0ms (11.1% of total)

ival-mult: 5.0ms (6.2% of total)

const: 4.0ms (4.9% of total)

ival-exp: 3.0ms (3.7% of total)

ival-pow2: 3.0ms (3.7% of total)

exact: 1.0ms (1.2% of total)

ival-neg: 1.0ms (1.2% of total)

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

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

series94.0ms (1.4%)

Memory

-32.6MiB live, 211.7MiB allocated

Counts

19 → 336

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (log.f64 (hypot.f64 im re)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (hypot.f64 im re) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (log.f64 #s(literal 1/10 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 #s(approx (neg (pow (log (sqrt (+ ( im im) (* re re)))) -1)) (/.f64 #s(literal -1 binary64) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (/.f64 #s(literal -1 binary64) (log.f64 im))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (log.f64 im)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (log.f64 im) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))) #s(approx (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (/.f64 #s(literal -1 binary64) (log.f64 im)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (exp.f64 (.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)))) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #<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 (log.f64 (hypot.f64 im re)) (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (log.f64 (hypot.f64 im re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (log.f64 (hypot.f64 im re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (log.f64 (hypot.f64 im re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (log.f64 (hypot.f64 im re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (hypot.f64 im re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (hypot.f64 im re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (hypot.f64 im re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (hypot.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)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) #<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)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) #<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)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) #<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)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (.f64 #s(approx (neg (pow (log (sqrt (+ ( im im) (* re re)))) -1)) (/.f64 #s(literal -1 binary64) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (.f64 #s(approx (neg (pow (log (sqrt (+ ( im im) (* re re)))) -1)) (/.f64 #s(literal -1 binary64) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (.f64 #s(approx (neg (pow (log (sqrt (+ ( im im) (* re re)))) -1)) (/.f64 #s(literal -1 binary64) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (.f64 #s(approx (neg (pow (log (sqrt (+ ( im im) (* re re)))) -1)) (/.f64 #s(literal -1 binary64) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (/.f64 #s(literal -1 binary64) (log.f64 im))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (/.f64 #s(literal -1 binary64) (log.f64 im))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (/.f64 #s(literal -1 binary64) (log.f64 im))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch #s(approx (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (/.f64 #s(literal -1 binary64) (log.f64 im))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))) #s(approx (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (/.f64 #s(literal -1 binary64) (log.f64 im)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))) #s(approx (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (/.f64 #s(literal -1 binary64) (log.f64 im)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))) #s(approx (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (/.f64 #s(literal -1 binary64) (log.f64 im)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))) #s(approx (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (/.f64 #s(literal -1 binary64) (log.f64 im)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (exp.f64 (.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (exp.f64 (.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (exp.f64 (.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (exp.f64 (.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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Calls

6 calls:

Time	Variable		Point	Expression
19.0ms	im	@	0	((pow (pow (log 10) -1/2) 2) (* (log (sqrt (+ (* im im) (* re re)))) (pow (pow (log 10) -1/2) 2)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (/ -1 (/ (log 1/10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 1/10) (log (sqrt (+ (* re re) (* im im))))) (log 1/10) (log (sqrt (+ (* re re) (* im im)))) (* (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (log 1/10)) (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (/ -1 (log im)) (log im) (/ (/ 1 (log 1/10)) (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1))) (/ 1 (log 1/10)) (exp (* (log (/ (log 10) (log (sqrt (+ (* re re) (* im im)))))) -1)) (* (log (/ (log 10) (log (sqrt (+ (* re re) (* im im)))))) -1) (log (/ (log 10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 10) (log (sqrt (+ (* re re) (* im im))))) (log 10))
17.0ms	im	@	inf	((pow (pow (log 10) -1/2) 2) (* (log (sqrt (+ (* im im) (* re re)))) (pow (pow (log 10) -1/2) 2)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (/ -1 (/ (log 1/10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 1/10) (log (sqrt (+ (* re re) (* im im))))) (log 1/10) (log (sqrt (+ (* re re) (* im im)))) (* (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (log 1/10)) (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (/ -1 (log im)) (log im) (/ (/ 1 (log 1/10)) (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1))) (/ 1 (log 1/10)) (exp (* (log (/ (log 10) (log (sqrt (+ (* re re) (* im im)))))) -1)) (* (log (/ (log 10) (log (sqrt (+ (* re re) (* im im)))))) -1) (log (/ (log 10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 10) (log (sqrt (+ (* re re) (* im im))))) (log 10))
13.0ms	im	@	-inf	((pow (pow (log 10) -1/2) 2) (* (log (sqrt (+ (* im im) (* re re)))) (pow (pow (log 10) -1/2) 2)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (/ -1 (/ (log 1/10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 1/10) (log (sqrt (+ (* re re) (* im im))))) (log 1/10) (log (sqrt (+ (* re re) (* im im)))) (* (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (log 1/10)) (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (/ -1 (log im)) (log im) (/ (/ 1 (log 1/10)) (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1))) (/ 1 (log 1/10)) (exp (* (log (/ (log 10) (log (sqrt (+ (* re re) (* im im)))))) -1)) (* (log (/ (log 10) (log (sqrt (+ (* re re) (* im im)))))) -1) (log (/ (log 10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 10) (log (sqrt (+ (* re re) (* im im))))) (log 10))
8.0ms	re	@	-inf	((pow (pow (log 10) -1/2) 2) (* (log (sqrt (+ (* im im) (* re re)))) (pow (pow (log 10) -1/2) 2)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (/ -1 (/ (log 1/10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 1/10) (log (sqrt (+ (* re re) (* im im))))) (log 1/10) (log (sqrt (+ (* re re) (* im im)))) (* (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (log 1/10)) (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (/ -1 (log im)) (log im) (/ (/ 1 (log 1/10)) (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1))) (/ 1 (log 1/10)) (exp (* (log (/ (log 10) (log (sqrt (+ (* re re) (* im im)))))) -1)) (* (log (/ (log 10) (log (sqrt (+ (* re re) (* im im)))))) -1) (log (/ (log 10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 10) (log (sqrt (+ (* re re) (* im im))))) (log 10))
7.0ms	re	@	inf	((pow (pow (log 10) -1/2) 2) (* (log (sqrt (+ (* im im) (* re re)))) (pow (pow (log 10) -1/2) 2)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (/ -1 (/ (log 1/10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 1/10) (log (sqrt (+ (* re re) (* im im))))) (log 1/10) (log (sqrt (+ (* re re) (* im im)))) (* (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (log 1/10)) (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (/ -1 (log im)) (log im) (/ (/ 1 (log 1/10)) (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1))) (/ 1 (log 1/10)) (exp (* (log (/ (log 10) (log (sqrt (+ (* re re) (* im im)))))) -1)) (* (log (/ (log 10) (log (sqrt (+ (* re re) (* im im)))))) -1) (log (/ (log 10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 10) (log (sqrt (+ (* re re) (* im im))))) (log 10))

simplify227.0ms (3.4%)

Memory

5.3MiB live, 295.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1301	13196
1	4114	12874
0	8256	12340

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 332

Calls

Call 1

Inputs
(/ (log im) (log 10))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10)))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10)))
(log im)
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))
(+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2))))))
im
(+ im (* 1/2 (/ (pow re 2) im)))
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))
(+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im)))))
(* -1 (/ (log im) (log 1/10)))
(+ (* -1 (/ (log im) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))))
(+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (* (pow im 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))))
(+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (* (pow im 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow im 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))))
(/ (log 1/10) (log im))
(+ (* -1/2 (/ (* (pow re 2) (log 1/10)) (* (pow im 2) (pow (log im) 2)))) (/ (log 1/10) (log im)))
(+ (* (pow re 2) (- (* -1 (* (pow re 2) (+ (* -1/4 (/ (log 1/10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 1/10) (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ (log 1/10) (* (pow im 2) (pow (log im) 2)))))) (/ (log 1/10) (log im)))
(+ (* (pow re 2) (- (* (pow re 2) (- (* -1 (* (pow re 2) (+ (* -1/2 (/ (+ (* -1/4 (/ (log 1/10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 1/10) (* (pow im 4) (pow (log im) 3))))) (* (pow im 2) (log im)))) (+ (* 1/8 (/ (log 1/10) (* (pow im 6) (pow (log im) 3)))) (* 1/6 (/ (log 1/10) (* (pow im 6) (pow (log im) 2)))))))) (+ (* -1/4 (/ (log 1/10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 1/10) (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ (log 1/10) (* (pow im 2) (pow (log im) 2)))))) (/ (log 1/10) (log im)))
(log im)
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))
(+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2))))))
(* -1 (/ (log 1/10) (log im)))
(+ (* -1 (/ (log 1/10) (log im))) (* 1/2 (/ (* (pow re 2) (log 1/10)) (* (pow im 2) (pow (log im) 2)))))
(+ (* -1 (/ (log 1/10) (log im))) (* (pow re 2) (+ (* 1/2 (/ (log 1/10) (* (pow im 2) (pow (log im) 2)))) (* (pow re 2) (+ (* -1/4 (/ (log 1/10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 1/10) (* (pow im 4) (pow (log im) 3)))))))))
(+ (* -1 (/ (log 1/10) (log im))) (* (pow re 2) (+ (* 1/2 (/ (log 1/10) (* (pow im 2) (pow (log im) 2)))) (* (pow re 2) (+ (* -1/4 (/ (log 1/10) (* (pow im 4) (pow (log im) 2)))) (+ (* -1/4 (/ (log 1/10) (* (pow im 4) (pow (log im) 3)))) (* (pow re 2) (+ (* -1/2 (/ (+ (* -1/4 (/ (log 1/10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 1/10) (* (pow im 4) (pow (log im) 3))))) (* (pow im 2) (log im)))) (+ (* 1/8 (/ (log 1/10) (* (pow im 6) (pow (log im) 3)))) (* 1/6 (/ (log 1/10) (* (pow im 6) (pow (log im) 2)))))))))))))
(/ -1 (log im))
(- (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log im) 2)))) (/ 1 (log im)))
(- (* (pow re 2) (+ (* -1 (* (pow re 2) (+ (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 2)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ 1 (* (pow im 2) (pow (log im) 2)))))) (/ 1 (log im)))
(- (* (pow re 2) (+ (* (pow re 2) (- (* (pow re 2) (+ (* 1/8 (/ 1 (* (pow im 6) (pow (log im) 3)))) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 2)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 3))))) (* (pow im 2) (log im)))) (* 1/6 (/ 1 (* (pow im 6) (pow (log im) 2))))))) (+ (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 2)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ 1 (* (pow im 2) (pow (log im) 2)))))) (/ 1 (log im)))
(* -1 (/ (log im) (log 1/10)))
(+ (* -1 (/ (log im) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))))
(+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (* (pow im 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))))
(+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (* (pow im 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow im 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))))
(/ (log im) (log 10))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10)))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10)))
(* -1 (log (/ (log 10) (log im))))
(+ (* -1 (log (/ (log 10) (log im)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log im)))))
(+ (* -1 (log (/ (log 10) (log im)))) (* (pow re 2) (+ (* -1/24 (* (pow re 2) (- (* -24 (/ (* (log im) (+ (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 3)))))) (log 10))) (* 3 (/ 1 (* (pow im 4) (pow (log im) 2))))))) (* 1/2 (/ 1 (* (pow im 2) (log im)))))))
(+ (* -1 (log (/ (log 10) (log im)))) (* (pow re 2) (+ (* (pow re 2) (+ (* -1/24 (- (* -24 (/ (* (log im) (+ (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 3)))))) (log 10))) (* 3 (/ 1 (* (pow im 4) (pow (log im) 2)))))) (* -1/720 (* (pow re 2) (- (+ (* -720 (/ (* (log im) (+ (* -1/2 (/ (+ (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 3))))) (* (pow im 2) (log im)))) (+ (* 1/8 (/ (log 10) (* (pow im 6) (pow (log im) 3)))) (* 1/6 (/ (log 10) (* (pow im 6) (pow (log im) 2))))))) (log 10))) (* -360 (/ (+ (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 3))))) (* (pow im 2) (log 10))))) (* 30 (/ 1 (* (pow im 6) (pow (log im) 3))))))))) (* 1/2 (/ 1 (* (pow im 2) (log im)))))))
(log (/ (log 10) (log im)))
(+ (log (/ (log 10) (log im))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log im)))))
(+ (log (/ (log 10) (log im))) (* (pow re 2) (- (* 1/24 (* (pow re 2) (- (* -24 (/ (* (log im) (+ (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 3)))))) (log 10))) (* 3 (/ 1 (* (pow im 4) (pow (log im) 2))))))) (* 1/2 (/ 1 (* (pow im 2) (log im)))))))
(+ (log (/ (log 10) (log im))) (* (pow re 2) (- (* (pow re 2) (+ (* 1/720 (* (pow re 2) (- (+ (* -720 (/ (* (log im) (+ (* -1/2 (/ (+ (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 3))))) (* (pow im 2) (log im)))) (+ (* 1/8 (/ (log 10) (* (pow im 6) (pow (log im) 3)))) (* 1/6 (/ (log 10) (* (pow im 6) (pow (log im) 2))))))) (log 10))) (* -360 (/ (+ (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 3))))) (* (pow im 2) (log 10))))) (* 30 (/ 1 (* (pow im 6) (pow (log im) 3))))))) (* 1/24 (- (* -24 (/ (* (log im) (+ (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 3)))))) (log 10))) (* 3 (/ 1 (* (pow im 4) (pow (log im) 2)))))))) (* 1/2 (/ 1 (* (pow im 2) (log im)))))))
(/ (log 10) (log im))
(+ (* -1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log im) 2)))) (/ (log 10) (log im)))
(+ (* (pow re 2) (- (* -1 (* (pow re 2) (+ (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ (log 10) (* (pow im 2) (pow (log im) 2)))))) (/ (log 10) (log im)))
(+ (* (pow re 2) (- (* (pow re 2) (- (* -1 (* (pow re 2) (+ (* -1/2 (/ (+ (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 3))))) (* (pow im 2) (log im)))) (+ (* 1/8 (/ (log 10) (* (pow im 6) (pow (log im) 3)))) (* 1/6 (/ (log 10) (* (pow im 6) (pow (log im) 2)))))))) (+ (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ (log 10) (* (pow im 2) (pow (log im) 2)))))) (/ (log 10) (log im)))
(* -1 (/ (log (/ 1 re)) (log 10)))
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))))
(* -1 (log (/ 1 re)))
(+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))
re
(* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(/ (log (/ 1 re)) (log 1/10))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10)))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10))))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10)))))
(* -1 (/ (log 1/10) (log (/ 1 re))))
(+ (* -1 (/ (log 1/10) (log (/ 1 re)))) (* -1/2 (/ (* (pow im 2) (log 1/10)) (* (pow re 2) (pow (log (/ 1 re)) 2)))))
(- (+ (* -1 (/ (log 1/10) (log (/ 1 re)))) (* -1 (/ (+ (* -1/4 (/ (* (pow im 4) (log 1/10)) (pow (log (/ 1 re)) 2))) (* 1/4 (/ (* (pow im 4) (log 1/10)) (pow (log (/ 1 re)) 3)))) (pow re 4)))) (* 1/2 (/ (* (pow im 2) (log 1/10)) (* (pow re 2) (pow (log (/ 1 re)) 2)))))
(- (+ (* -1 (/ (log 1/10) (log (/ 1 re)))) (* -1 (/ (+ (* -1/8 (/ (* (pow im 6) (log 1/10)) (pow (log (/ 1 re)) 3))) (+ (* 1/720 (/ (* (log 1/10) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow (log (/ 1 re)) 2))) (* 1/2 (/ (* (pow im 2) (+ (* -1/4 (/ (* (pow im 4) (log 1/10)) (pow (log (/ 1 re)) 2))) (* 1/4 (/ (* (pow im 4) (log 1/10)) (pow (log (/ 1 re)) 3))))) (log (/ 1 re)))))) (pow re 6)))) (+ (* -1/4 (/ (* (pow im 4) (log 1/10)) (* (pow re 4) (pow (log (/ 1 re)) 2)))) (+ (* 1/4 (/ (* (pow im 4) (log 1/10)) (* (pow re 4) (pow (log (/ 1 re)) 3)))) (* 1/2 (/ (* (pow im 2) (log 1/10)) (* (pow re 2) (pow (log (/ 1 re)) 2)))))))
(* -1 (log (/ 1 re)))
(+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(/ (log 1/10) (log (/ 1 re)))
(+ (* 1/2 (/ (* (pow im 2) (log 1/10)) (* (pow re 2) (pow (log (/ 1 re)) 2)))) (/ (log 1/10) (log (/ 1 re))))
(+ (* -1/4 (/ (* (pow im 4) (log 1/10)) (* (pow re 4) (pow (log (/ 1 re)) 2)))) (+ (* 1/4 (/ (* (pow im 4) (log 1/10)) (* (pow re 4) (pow (log (/ 1 re)) 3)))) (+ (* 1/2 (/ (* (pow im 2) (log 1/10)) (* (pow re 2) (pow (log (/ 1 re)) 2)))) (/ (log 1/10) (log (/ 1 re))))))
(+ (* -1/4 (/ (* (pow im 4) (log 1/10)) (* (pow re 4) (pow (log (/ 1 re)) 2)))) (+ (* -1/8 (/ (* (pow im 6) (log 1/10)) (* (pow re 6) (pow (log (/ 1 re)) 3)))) (+ (* 1/720 (/ (* (log 1/10) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (* (pow re 6) (pow (log (/ 1 re)) 2)))) (+ (* 1/4 (/ (* (pow im 4) (log 1/10)) (* (pow re 4) (pow (log (/ 1 re)) 3)))) (+ (* 1/2 (/ (* (pow im 2) (log 1/10)) (* (pow re 2) (pow (log (/ 1 re)) 2)))) (+ (* 1/2 (/ (* (pow im 2) (+ (* -1/4 (/ (* (pow im 4) (log 1/10)) (pow (log (/ 1 re)) 2))) (* 1/4 (/ (* (pow im 4) (log 1/10)) (pow (log (/ 1 re)) 3))))) (* (pow re 6) (log (/ 1 re))))) (/ (log 1/10) (log (/ 1 re)))))))))
(/ 1 (log (/ 1 re)))
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ 1 re)) 2)))) (/ 1 (log (/ 1 re))))
(+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log (/ 1 re)) 2)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (pow (log (/ 1 re)) 3)))) (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ 1 re)) 2)))) (/ 1 (log (/ 1 re))))))
(+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log (/ 1 re)) 2)))) (+ (* -1/8 (/ (pow im 6) (* (pow re 6) (pow (log (/ 1 re)) 3)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (pow (log (/ 1 re)) 2)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (pow (log (/ 1 re)) 3)))) (+ (* 1/2 (/ (* (pow im 2) (+ (* -1/4 (/ (pow im 4) (pow (log (/ 1 re)) 2))) (* 1/4 (/ (pow im 4) (pow (log (/ 1 re)) 3))))) (* (pow re 6) (log (/ 1 re))))) (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ 1 re)) 2)))) (/ 1 (log (/ 1 re)))))))))
(/ (log (/ 1 re)) (log 1/10))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10)))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10))))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10)))))
(* -1 (/ (log (/ 1 re)) (log 10)))
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))))
(* -1 (log (* -1 (/ (log 10) (log (/ 1 re))))))
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(/ -1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/ -1 (+ (log -1) (* -1 (log (/ -1 im)))))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (log -1) (* -1 (log (/ -1 im))))
(/ (log (/ -1 im)) (log 1/10))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10)))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10))))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10)))))
(* -1 (/ (log (/ -1 im)) (log 10)))
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))))
(* -1 (log (* -1 (/ (log 10) (log (/ -1 im))))))
(+ (* -1 (log (* -1 (/ (log 10) (log (/ -1 im)))))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im))))))
(+ (* -1 (log (* -1 (/ (log 10) (log (/ -1 im)))))) (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im))))) (* -1/24 (/ (+ (* -3 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 24 (/ (* (log (/ -1 im)) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log 10)))) (pow im 4)))))
(+ (* -1 (log (* -1 (/ (log 10) (log (/ -1 im)))))) (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im))))) (+ (* -1/24 (/ (+ (* -3 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 24 (/ (* (log (/ -1 im)) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log 10)))) (pow im 4))) (* -1/720 (/ (+ (* -360 (/ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log 10))) (+ (* 30 (/ (pow re 6) (pow (log (/ -1 im)) 3))) (* 720 (/ (* (log (/ -1 im)) (+ (* -1/8 (/ (* (pow re 6) (log 10)) (pow (log (/ -1 im)) 3))) (+ (* 1/720 (/ (* (log 10) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow (log (/ -1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log (/ -1 im))))))) (log 10))))) (pow im 6))))))
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(+ (log (* -1 (/ (log 10) (log (/ -1 im))))) (+ (* 1/24 (/ (+ (* -3 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 24 (/ (* (log (/ -1 im)) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log 10)))) (pow im 4))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im)))))))
(+ (log (* -1 (/ (log 10) (log (/ -1 im))))) (+ (* 1/720 (/ (+ (* -360 (/ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log 10))) (+ (* 30 (/ (pow re 6) (pow (log (/ -1 im)) 3))) (* 720 (/ (* (log (/ -1 im)) (+ (* -1/8 (/ (* (pow re 6) (log 10)) (pow (log (/ -1 im)) 3))) (+ (* 1/720 (/ (* (log 10) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow (log (/ -1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log (/ -1 im))))))) (log 10))))) (pow im 6))) (+ (* 1/24 (/ (+ (* -3 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 24 (/ (* (log (/ -1 im)) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log 10)))) (pow im 4))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im))))))))
(* -1 (/ (log 10) (log (/ -1 im))))
(+ (* -1 (/ (log 10) (log (/ -1 im)))) (* -1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ -1 im)) 2)))))
(- (+ (* -1 (/ (log 10) (log (/ -1 im)))) (* -1 (/ (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3)))) (pow im 4)))) (* 1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ -1 im)) 2)))))
(- (+ (* -1 (/ (log 10) (log (/ -1 im)))) (* -1 (/ (+ (* -1/8 (/ (* (pow re 6) (log 10)) (pow (log (/ -1 im)) 3))) (+ (* 1/720 (/ (* (log 10) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow (log (/ -1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log (/ -1 im)))))) (pow im 6)))) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (* (pow im 4) (pow (log (/ -1 im)) 2)))) (+ (* 1/4 (/ (* (pow re 4) (log 10)) (* (pow im 4) (pow (log (/ -1 im)) 3)))) (* 1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ -1 im)) 2)))))))

Outputs
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))
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(log.f64 im)
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im
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(/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64)))
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(+.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 re re) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal -1/4 binary64))) (log.f64 #s(literal 10 binary64)))) #s(literal -360 binary64) (fma.f64 (/.f64 (.f64 (fma.f64 (/.f64 (.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal -1/8 binary64) (fma.f64 (.f64 (.f64 re re) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal -1/4 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal 1/720 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 10 binary64))) #s(literal 720 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 30 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))))) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/720 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal -1/4 binary64))) (log.f64 #s(literal 10 binary64)))) #s(literal 24 binary64) (/.f64 (.f64 #s(literal -3 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/24 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (*.f64 im im))))) (log.f64 (/.f64 (neg.f64 (log.f64 #s(literal 10 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)))))
(/.f64 (neg.f64 (log.f64 #s(literal 10 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(fma.f64 (/.f64 (.f64 (/.f64 (log.f64 #s(literal 10 binary64)) im) (/.f64 (.f64 re re) im)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (neg.f64 (log.f64 #s(literal 10 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal -1/4 binary64))) (pow.f64 im #s(literal 4 binary64)))) (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 im im)) (/.f64 (.f64 (*.f64 re re) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))))
(-.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal -1/8 binary64) (fma.f64 (.f64 (.f64 re re) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal -1/4 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal 1/720 binary64)))) (neg.f64 (pow.f64 im #s(literal 6 binary64)))) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) (fma.f64 (/.f64 (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 (/.f64 (log.f64 #s(literal 10 binary64)) im) (/.f64 (.f64 re re) im)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))

rewrite165.0ms (2.5%)

Memory

12.2MiB live, 213.3MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	194
0	56	153
1	159	145
2	723	142
3	5231	142
0	8139	142

Stop Event

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

Counts

19 → 972

Calls

Call 1

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

Outputs
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eval243.0ms (3.7%)

Memory: 14.5MiB live, 356.8MiB allocated
Compiler: Compiled 49 300 to 4 406 computations (91.1% saved)

prune44.0ms (0.7%)

Memory

-21.5MiB live, 140.3MiB allocated

Pruning

14 alts after pruning (8 fresh and 6 done)

	Pruned	Kept	Total
New	1 572	1	1 573
Fresh	2	7	9
Picked	2	3	5
Done	0	3	3
Total	1 576	14	1 590

Accuracy

100.0%

Counts

1 590 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.8%	(pow.f64 (.f64 (sqrt.f64 (log.f64 (fma.f64 im im (.f64 re re)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))))) #s(literal 2 binary64))
	73.3%	(pow.f64 #s(approx (pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) 1/2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))) #s(literal 2 binary64))
✓	98.3%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))) #s(approx (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (/.f64 #s(literal -1 binary64) (log.f64 im))))
	98.4%	(/.f64 (/.f64 #s(literal -1 binary64) #s(approx (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (/.f64 #s(literal -1 binary64) (log.f64 im)))) (log.f64 #s(literal 10 binary64)))
	98.4%	(/.f64 (.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)) #s(literal 2 binary64)))) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
	54.5%	(/.f64 (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
✓	54.5%	(/.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) (log.f64 #s(literal 1/10 binary64)))
✓	98.4%	(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))
✓	98.5%	(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
	98.3%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
✓	98.4%	(/.f64 #s(literal 1 binary64) (.f64 #s(approx (neg (pow (log (sqrt (+ ( im im) (* re re)))) -1)) (/.f64 #s(literal -1 binary64) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))))
✓	98.4%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
	98.3%	(/.f64 #s(literal -1 binary64) (.f64 (log.f64 #s(literal 10 binary64)) #s(approx (neg (pow (log (sqrt (+ ( im im) (* re re)))) -1)) (/.f64 #s(literal -1 binary64) (log.f64 im)))))
	98.9%	(.f64 #s(approx (log (sqrt (+ ( im im) (* re re)))) (log.f64 im)) (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))

Compiler

Compiled 828 to 350 computations (57.7% saved)

regimes92.0ms (1.4%)

Memory

21.2MiB live, 136.3MiB allocated

Counts

34 → 1

Calls

Call 1

Inputs
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
(/.f64 #s(literal -1 binary64) (.f64 (log.f64 #s(literal 10 binary64)) #s(approx (neg (pow (log (sqrt (+ ( im im) (* re re)))) -1)) (/.f64 #s(literal -1 binary64) (log.f64 im)))))
(/.f64 #s(literal 1 binary64) (.f64 #s(approx (neg (pow (log (sqrt (+ ( im im) (* re re)))) -1)) (/.f64 #s(literal -1 binary64) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))))
(/.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) #s(approx (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (/.f64 #s(literal -1 binary64) (log.f64 im)))) (log.f64 #s(literal 10 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))) #s(approx (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (/.f64 #s(literal -1 binary64) (log.f64 im))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (fma.f64 re re (.f64 im im))))))
(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64)))
(pow.f64 #s(approx (pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) 1/2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))))
(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) #s(approx (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (/.f64 #s(literal -1 binary64) (log.f64 im))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)) (pow.f64 (log.f64 (fma.f64 re re (.f64 im im))) #s(literal -1 binary64))))
(pow.f64 (.f64 (sqrt.f64 (log.f64 (fma.f64 im im (.f64 re re)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))))) #s(literal 2 binary64))
(.f64 #s(approx (log (sqrt (+ ( im im) (* re re)))) (log.f64 im)) (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)))) #s(literal -1 binary64)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -2 binary64)))
(/.f64 (.f64 (neg.f64 (pow.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)) #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))))
(*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))))
(/.f64 (pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))
(/.f64 (.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)) #s(literal 2 binary64)))) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
(/.f64 (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64)))) (log.f64 (hypot.f64 re im)))
(pow.f64 (*.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #s(literal -1/2 binary64))

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

Calls

8 calls:

24.0ms	im
11.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
10.0ms	(*.f64 re re)
9.0ms	re
9.0ms	(*.f64 im im)

Results

Accuracy	Segments	Branch
99.5%	1	`re`
99.5%	1	`im`
99.5%	1	`(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))`
99.5%	1	`(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))`
99.5%	1	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
99.5%	1	`(+.f64 (.f64 re re) (.f64 im im))`
99.5%	1	`(*.f64 re re)`
99.5%	1	`(*.f64 im im)`

Compiler

Compiled 44 to 38 computations (13.6% saved)

regimes85.0ms (1.3%)

Memory

9.0MiB live, 119.9MiB allocated

Counts

24 → 1

Calls

Call 1

Inputs
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
(/.f64 #s(literal -1 binary64) (.f64 (log.f64 #s(literal 10 binary64)) #s(approx (neg (pow (log (sqrt (+ ( im im) (* re re)))) -1)) (/.f64 #s(literal -1 binary64) (log.f64 im)))))
(/.f64 #s(literal 1 binary64) (.f64 #s(approx (neg (pow (log (sqrt (+ ( im im) (* re re)))) -1)) (/.f64 #s(literal -1 binary64) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))))
(/.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) #s(approx (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (/.f64 #s(literal -1 binary64) (log.f64 im)))) (log.f64 #s(literal 10 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))) #s(approx (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (/.f64 #s(literal -1 binary64) (log.f64 im))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (fma.f64 re re (.f64 im im))))))
(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64)))
(pow.f64 #s(approx (pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) 1/2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))))
(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) #s(approx (neg (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (/.f64 #s(literal -1 binary64) (log.f64 im))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)) (pow.f64 (log.f64 (fma.f64 re re (.f64 im im))) #s(literal -1 binary64))))
(pow.f64 (.f64 (sqrt.f64 (log.f64 (fma.f64 im im (.f64 re re)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))))) #s(literal 2 binary64))
(.f64 #s(approx (log (sqrt (+ ( im im) (* re re)))) (log.f64 im)) (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)))) #s(literal -1 binary64)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -2 binary64)))
(/.f64 (.f64 (neg.f64 (pow.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)) #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))))

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

Calls

8 calls:

32.0ms	(*.f64 im im)
10.0ms	im
9.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
7.0ms	re
7.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))

Results

Accuracy	Segments	Branch
99.1%	1	`re`
99.1%	1	`im`
99.1%	1	`(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))`
99.1%	1	`(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))`
99.1%	1	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
99.1%	1	`(+.f64 (.f64 re re) (.f64 im im))`
99.1%	1	`(*.f64 re re)`
99.1%	1	`(*.f64 im im)`

Compiler

Compiled 44 to 38 computations (13.6% saved)

regimes45.0ms (0.7%)

Memory

-16.0MiB live, 99.8MiB allocated

Accuracy

Total -28.8b remaining (-2906.1%)

Threshold costs -28.8b (-2906.1%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

8 calls:

12.0ms	(*.f64 im im)
7.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
5.0ms	re
4.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))
4.0ms	im

Results

Accuracy	Segments	Branch
98.5%	1	`re`
98.5%	1	`im`
98.5%	1	`(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))`
98.5%	1	`(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))`
98.5%	1	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
98.5%	1	`(+.f64 (.f64 re re) (.f64 im im))`
98.5%	1	`(*.f64 re re)`
98.5%	1	`(*.f64 im im)`

Compiler

Compiled 44 to 38 computations (13.6% saved)

simplify72.0ms (1.1%)

Memory

-29.6MiB live, 76.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	34
1	30	34
2	36	34
3	41	34
4	44	34
5	45	34

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

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

(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))

Outputs

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

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

(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))

soundness525.0ms (8%)

Memory

15.7MiB live, 484.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	41
0	17	41
1	44	41
2	251	41
3	2046	41
0	8387	25
0	268	1676
1	730	1632
2	2203	1630
3	5799	1618
0	8392	1506
0	42	179
0	64	189
1	185	176
2	903	139
0	8222	139
0	33	138
0	54	104
1	155	103
2	712	103
3	5847	103
0	8039	102

Stop Event

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

Compiler

Compiled 104 to 82 computations (21.2% saved)

preprocess45.0ms (0.7%)

Memory

11.2MiB live, 126.4MiB allocated

Remove

(sort re im)

(abs re)

(abs im)

Compiler

Compiled 290 to 264 computations (9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	24	62
1	50	62
2	96	62
3	173	62
4	238	62
5	260	62
6	271	62
7	282	62
8	285	62
9	286	62
0	10	12
0	17	12
1	18	12
0	18	7

Iter	Nodes	Cost
0	33	180
0	54	151
1	75	150
2	106	148
3	159	148
4	273	148
5	349	148
6	406	148
7	451	148
8	466	148
9	472	148
0	472	147

Iter	Nodes	Cost
0	39	274
0	58	232
1	75	222
2	96	221
3	111	221
4	129	217
5	151	217
6	217	217
7	252	217
8	300	217
9	342	217
10	378	217
11	404	217
12	431	217
13	471	217
14	509	217
15	538	217
16	558	217
17	575	217
18	585	217
19	590	217
20	600	217
21	602	217
0	602	217

Iter	Nodes	Cost
0	24	62
1	50	62
2	96	62
3	173	62
4	238	62
5	260	62
6	271	62
7	282	62
8	285	62
9	286	62
0	10	12
0	17	12
1	18	12
0	18	7

Iter	Nodes	Cost
0	33	180
0	54	151
1	75	150
2	106	148
3	159	148
4	273	148
5	349	148
6	406	148
7	451	148
8	466	148
9	472	148
0	472	147

Iter	Nodes	Cost
0	39	274
0	58	232
1	75	222
2	96	221
3	111	221
4	129	217
5	151	217
6	217	217
7	252	217
8	300	217
9	342	217
10	378	217
11	404	217
12	431	217
13	471	217
14	509	217
15	538	217
16	558	217
17	575	217
18	585	217
19	590	217
20	600	217
21	602	217
0	602	217

start0.0ms (0%)

analyze63.0ms (1%)

sample941.0ms (14.3%)

explain156.0ms (2.4%)

preprocess19.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize54.0ms (0.8%)

series17.0ms (0.3%)

simplify224.0ms (3.4%)

rewrite212.0ms (3.2%)

eval112.0ms (1.7%)

prune65.0ms (1%)

simplify51.0ms (0.8%)

localize256.0ms (3.9%)

series276.0ms (4.2%)

simplify322.0ms (4.9%)

rewrite334.0ms (5.1%)

eval376.0ms (5.7%)

prune64.0ms (1%)

simplify101.0ms (1.5%)

localize162.0ms (2.5%)

series86.0ms (1.3%)

simplify323.0ms (4.9%)

rewrite145.0ms (2.2%)

eval349.0ms (5.3%)

prune63.0ms (1%)

simplify32.0ms (0.5%)

localize131.0ms (2%)

series94.0ms (1.4%)

simplify227.0ms (3.4%)

rewrite165.0ms (2.5%)

eval243.0ms (3.7%)

prune44.0ms (0.7%)

regimes92.0ms (1.4%)

regimes85.0ms (1.3%)

regimes45.0ms (0.7%)

simplify72.0ms (1.1%)

soundness525.0ms (8%)

preprocess45.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	24	62
1	50	62
2	96	62
3	173	62
4	238	62
5	260	62
6	271	62
7	282	62
8	285	62
9	286	62
0	10	12
0	17	12
1	18	12
0	18	7

Iter	Nodes	Cost
0	33	180
0	54	151
1	75	150
2	106	148
3	159	148
4	273	148
5	349	148
6	406	148
7	451	148
8	466	148
9	472	148
0	472	147

Iter	Nodes	Cost
0	39	274
0	58	232
1	75	222
2	96	221
3	111	221
4	129	217
5	151	217
6	217	217
7	252	217
8	300	217
9	342	217
10	378	217
11	404	217
12	431	217
13	471	217
14	509	217
15	538	217
16	558	217
17	575	217
18	585	217
19	590	217
20	600	217
21	602	217
0	602	217