Metrics for math.log10 on complex, real part

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze66.0ms (0.2%)

Memory

10.1MiB live, 123.3MiB 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)

sample1.1s (3.3%)

Memory

-13.1MiB live, 1 621.8MiB allocated

Samples

803.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 577.0ms

ival-log: 215.0ms (37.3% of total)

ival-hypot: 175.0ms (30.3% of total)

ival-div: 174.0ms (30.2% of total)

ival-true: 5.0ms (0.9% of total)

exact: 5.0ms (0.9% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain146.0ms (0.4%)

Memory

9.5MiB live, 247.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
131	-	-	`(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	111	0
↳	`(+.f64 (.f64 re re) (.f64 im im))`	overflow	111
↳	`(*.f64 re re)`	overflow	73
↳	`(*.f64 im im)`	overflow	56
`sqrt.f64`	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`	uflow-rescue	20	0
↳	`(+.f64 (.f64 re re) (.f64 im im))`	underflow	20
↳	`(*.f64 re re)`	underflow	54
↳	`(*.f64 im im)`	underflow	69

Confusion

	Predicted +	Predicted -
+	131	0
-	0	125

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	131	0	0
-	0	0	125

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	125
1	131

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

55.0ms

512×

valid

Compiler

Compiled 110 to 34 computations (69.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-log: 16.0ms (41.9% of total)

ival-hypot: 9.0ms (23.6% of total)

ival-mult: 7.0ms (18.3% of total)

ival-div: 3.0ms (7.9% of total)

ival-add: 2.0ms (5.2% of total)

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

exact: 0.0ms (0% of total)

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

preprocess21.0ms (0.1%)

Memory

-6.9MiB live, 31.6MiB 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 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))
(/.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

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.0%	(/.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

5.0MiB live, 5.0MiB 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 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64)))
(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
(log.f64 (hypot.f64 im re))
(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
(hypot.f64 im re)
(+.f64 (.f64 re re) (.f64 im im))
(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)

localize38.0ms (0.1%)

Memory

-4.4MiB live, 74.6MiB 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	0.5709762695368841	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))
accuracy	30.37400735753213	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Samples

27.0ms

256×

valid

Compiler

Compiled 49 to 12 computations (75.5% saved)

Precisions

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

ival-log: 6.0ms (35.1% of total)

ival-hypot: 5.0ms (29.3% of total)

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

ival-div: 2.0ms (11.7% 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)

series18.0ms (0.1%)

Memory

-1.5MiB live, 37.1MiB allocated

Counts

6 → 108

Calls

Call 1

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

Outputs
#s(alt (pow im 2) (taylor 0 re) (#s(alt (+.f64 (.f64 re re) (.f64 im im)) (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (+ (pow im 2) (pow re 2)) (taylor 0 re) (#s(alt (+.f64 (.f64 re re) (.f64 im im)) (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (+ (pow im 2) (pow re 2)) (taylor 0 re) (#s(alt (+.f64 (.f64 re re) (.f64 im im)) (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (+ (pow im 2) (pow re 2)) (taylor 0 re) (#s(alt (+.f64 (.f64 re re) (.f64 im im)) (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (/ (log im) (log 10)) (taylor 0 re) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10))) (taylor 0 re) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (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))) (taylor 0 re) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (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))) (taylor 0 re) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (log im) (taylor 0 re) (#s(alt (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt (+ (log im) (* 1/2 (/ (pow re 2) (pow im 2)))) (taylor 0 re) (#s(alt (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt (+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))) (taylor 0 re) (#s(alt (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt (+ (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)))))) (taylor 0 re) (#s(alt (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt (pow re 2) (taylor 0 re) (#s(alt (.f64 re re) (patch (.f64 re re) #<representation binary64>) () ())) ())
#s(alt (pow re 2) (taylor 0 re) (#s(alt (.f64 re re) (patch (.f64 re re) #<representation binary64>) () ())) ())
#s(alt (pow re 2) (taylor 0 re) (#s(alt (.f64 re re) (patch (.f64 re re) #<representation binary64>) () ())) ())
#s(alt (pow re 2) (taylor 0 re) (#s(alt (.f64 re re) (patch (.f64 re re) #<representation binary64>) () ())) ())
#s(alt im (taylor 0 re) (#s(alt (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (+ im (* 1/2 (/ (pow re 2) im))) (taylor 0 re) (#s(alt (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im))))) (taylor 0 re) (#s(alt (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (+ 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))))) (taylor 0 re) (#s(alt (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (pow re 2) (taylor inf re) (#s(alt (+.f64 (.f64 re re) (.f64 im im)) (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) (taylor inf re) (#s(alt (+.f64 (.f64 re re) (.f64 im im)) (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) (taylor inf re) (#s(alt (+.f64 (.f64 re re) (.f64 im im)) (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) (taylor inf re) (#s(alt (+.f64 (.f64 re re) (.f64 im im)) (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log (/ 1 re)) (log 10))) (taylor inf re) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log (/ 1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))) (taylor inf re) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -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)))))) (taylor inf re) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -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))))))) (taylor inf re) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 re))) (taylor inf re) (#s(alt (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2)))) (taylor inf re) (#s(alt (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))) (taylor inf re) (#s(alt (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -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)))))) (taylor inf re) (#s(alt (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt (pow re 2) (taylor inf re) (#s(alt (.f64 re re) (patch (.f64 re re) #<representation binary64>) () ())) ())
#s(alt (pow re 2) (taylor inf re) (#s(alt (.f64 re re) (patch (.f64 re re) #<representation binary64>) () ())) ())
#s(alt (pow re 2) (taylor inf re) (#s(alt (.f64 re re) (patch (.f64 re re) #<representation binary64>) () ())) ())
#s(alt (pow re 2) (taylor inf re) (#s(alt (.f64 re re) (patch (.f64 re re) #<representation binary64>) () ())) ())
#s(alt re (taylor inf re) (#s(alt (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))) (taylor inf re) (#s(alt (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))) (taylor inf re) (#s(alt (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (* 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))))))) (taylor inf re) (#s(alt (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (pow re 2) (taylor -inf re) (#s(alt (+.f64 (.f64 re re) (.f64 im im)) (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) (taylor -inf re) (#s(alt (+.f64 (.f64 re re) (.f64 im im)) (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) (taylor -inf re) (#s(alt (+.f64 (.f64 re re) (.f64 im im)) (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) (taylor -inf re) (#s(alt (+.f64 (.f64 re re) (.f64 im im)) (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log (/ -1 re)) (log 10))) (taylor -inf re) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log (/ -1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))) (taylor -inf re) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
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#s(alt (+ (* -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))))))) (taylor -inf re) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ -1 re))) (taylor -inf re) (#s(alt (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2)))) (taylor -inf re) (#s(alt (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())) ())
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#s(alt (+ (* -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)))))) (taylor -inf re) (#s(alt (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())) ())
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#s(alt (pow re 2) (taylor -inf re) (#s(alt (.f64 re re) (patch (.f64 re re) #<representation binary64>) () ())) ())
#s(alt (pow re 2) (taylor -inf re) (#s(alt (.f64 re re) (patch (.f64 re re) #<representation binary64>) () ())) ())
#s(alt (pow re 2) (taylor -inf re) (#s(alt (.f64 re re) (patch (.f64 re re) #<representation binary64>) () ())) ())
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#s(alt (/ (log re) (log 10)) (taylor 0 im) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (/ (log (/ 1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))) (taylor inf im) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -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)))))) (taylor inf im) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -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))))))) (taylor inf im) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2)))) (taylor inf im) (#s(alt (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))) (taylor inf im) (#s(alt (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -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)))))) (taylor inf im) (#s(alt (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())) ())
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#s(alt (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))) (taylor inf im) (#s(alt (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (* 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))))))) (taylor inf im) (#s(alt (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (pow im 2) (taylor -inf im) (#s(alt (+.f64 (.f64 re re) (.f64 im im)) (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
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#s(alt (* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))) (taylor -inf im) (#s(alt (+.f64 (.f64 re re) (.f64 im im)) (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))) (taylor -inf im) (#s(alt (+.f64 (.f64 re re) (.f64 im im)) (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log (/ -1 im)) (log 10))) (taylor -inf im) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log (/ -1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))) (taylor -inf im) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -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)))))) (taylor -inf im) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -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))))))) (taylor -inf im) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
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#s(alt (+ (* -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)))))) (taylor -inf im) (#s(alt (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))) (taylor -inf im) (#s(alt (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))) (taylor -inf im) (#s(alt (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (* -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)))))))) (taylor -inf im) (#s(alt (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	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))
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))
2.0ms	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))
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))

simplify165.0ms (0.5%)

Memory

8.1MiB live, 326.5MiB 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
(pow im 2)
(*.f64 im im)
(+ (pow im 2) (pow re 2))
(fma.f64 re re (*.f64 im im))
(+ (pow im 2) (pow re 2))
(fma.f64 re re (*.f64 im im))
(+ (pow im 2) (pow re 2))
(fma.f64 re re (*.f64 im im))
(/ (log im) (log 10))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10)))
(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))))
(+ (* (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)))
(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))))
(+ (* (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)))
(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 im)
(log.f64 im)
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))
(fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) re) re (log.f64 im))
(+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))
(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)))
(+ (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))))))
(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)))
(pow re 2)
(*.f64 re re)
(pow re 2)
(*.f64 re re)
(pow re 2)
(*.f64 re re)
(pow re 2)
(*.f64 re re)
im
(+ im (* 1/2 (/ (pow re 2) im)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) im) (*.f64 re re) im)
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 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)
(+ 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)))))
(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))
(pow re 2)
(*.f64 re re)
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(fma.f64 re re (*.f64 im im))
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(fma.f64 re re (*.f64 im im))
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(fma.f64 re re (*.f64 im im))
(* -1 (/ (log (/ 1 re)) (log 10)))
(/.f64 (log.f64 re) (log.f64 #s(literal 10 binary64)))
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))
(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))))
(+ (* -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))))))
(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)))))
(+ (* -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)))))))
(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))))))
(* -1 (log (/ 1 re)))
(log.f64 re)
(+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) im) (/.f64 (/.f64 im re) re) (log.f64 re))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(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)))
(+ (* -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))))))
(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))))
(pow re 2)
(*.f64 re re)
(pow re 2)
(*.f64 re re)
(pow re 2)
(*.f64 re re)
(pow re 2)
(*.f64 re re)
re
(* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))
(fma.f64 (.f64 (/.f64 (.f64 im im) re) #s(literal 1/2 binary64)) #s(literal 1 binary64) re)
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(.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)
(* 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)))))))
(.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)
(pow re 2)
(*.f64 re re)
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(fma.f64 re re (*.f64 im im))
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(fma.f64 re re (*.f64 im im))
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(fma.f64 re re (*.f64 im im))
(* -1 (/ (log (/ -1 re)) (log 10)))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (neg.f64 (log.f64 #s(literal 10 binary64))))
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))
(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)))))
(+ (* -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))))))
(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))))))
(+ (* -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)))))))
(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)))))))
(* -1 (log (/ -1 re)))
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)))
(+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(fma.f64 (*.f64 (/.f64 (/.f64 im re) re) im) #s(literal 1/2 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) re))))
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(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))))
(+ (* -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))))))
(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)))))
(pow re 2)
(*.f64 re re)
(pow re 2)
(*.f64 re re)
(pow re 2)
(*.f64 re re)
(pow re 2)
(*.f64 re re)
(* -1 re)
(neg.f64 re)
(* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))
(fma.f64 (.f64 (/.f64 (.f64 im im) re) #s(literal 1/2 binary64)) #s(literal -1 binary64) (neg.f64 re))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(.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)
(* -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))))))))
(.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)
(pow re 2)
(*.f64 re re)
(+ (pow im 2) (pow re 2))
(fma.f64 re re (*.f64 im im))
(+ (pow im 2) (pow re 2))
(fma.f64 re re (*.f64 im im))
(+ (pow im 2) (pow re 2))
(fma.f64 re re (*.f64 im im))
(/ (log re) (log 10))
(/.f64 (log.f64 re) (log.f64 #s(literal 10 binary64)))
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))) (/ (log re) (log 10)))
(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))))
(+ (* (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)))
(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)))))
(+ (* (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)))
(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 re)
(log.f64 re)
(+ (log re) (* 1/2 (/ (pow im 2) (pow re 2))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) im) (/.f64 (/.f64 im re) re) (log.f64 re))
(+ (log re) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2))))))
(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)))
(+ (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))))))
(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
(+ re (* 1/2 (/ (pow im 2) re)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) re) (*.f64 im im) re)
(+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 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)
(+ 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)))))
(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)
(pow im 2)
(*.f64 im im)
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(fma.f64 re re (*.f64 im im))
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(fma.f64 re re (*.f64 im im))
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(fma.f64 re re (*.f64 im im))
(* -1 (/ (log (/ 1 im)) (log 10)))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))
(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))))
(+ (* -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))))))
(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))))
(+ (* -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)))))))
(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))))))
(* -1 (log (/ 1 im)))
(log.f64 im)
(+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))
(fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) re) re (log.f64 im))
(+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))
(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)))
(+ (* -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))))))
(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
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))
(fma.f64 (.f64 (/.f64 (.f64 re re) im) #s(literal 1/2 binary64)) #s(literal 1 binary64) im)
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(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))
(* 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)))))))
(.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)
(pow im 2)
(*.f64 im im)
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(fma.f64 re re (*.f64 im im))
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(fma.f64 re re (*.f64 im im))
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(fma.f64 re re (*.f64 im im))
(* -1 (/ (log (/ -1 im)) (log 10)))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 #s(literal 10 binary64))))
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))
(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)))))
(+ (* -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))))))
(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))))))
(+ (* -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)))))))
(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)))))))
(* -1 (log (/ -1 im)))
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))
(fma.f64 (*.f64 (/.f64 (/.f64 re im) im) re) #s(literal 1/2 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im))))
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))
(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)))))
(+ (* -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))))))
(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)))))
(* -1 im)
(neg.f64 im)
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))
(neg.f64 (fma.f64 (.f64 (/.f64 (.f64 re re) im) #s(literal 1/2 binary64)) #s(literal 1 binary64) im))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(.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)
(* -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))))))))
(.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)

rewrite203.0ms (0.6%)

Memory

21.6MiB live, 370.8MiB 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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eval153.0ms (0.5%)

Memory: 0.3MiB live, 287.0MiB allocated
Compiler: Compiled 10 557 to 1 829 computations (82.7% saved)

prune50.0ms (0.1%)

Memory

1.0MiB live, 83.0MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	405	16	421
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	406	16	422

Accuracy

100.0%

Counts

422 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.3%	(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))
	75.8%	(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))
	74.7%	(pow.f64 (exp.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))))) #s(literal -1 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))))
	98.9%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re)))) (.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1 binary64))) (*.f64 (log.f64 #s(literal 1/10 binary64)) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re)))))
	50.0%	(/.f64 (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
	99.0%	(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64)))
▶	99.1%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
	50.0%	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
▶	98.1%	(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
	99.1%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))))
	98.9%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re))))
▶	98.7%	(*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
▶	49.7%	(.f64 (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (log.f64 (fma.f64 im im (*.f64 re re))))
	74.9%	(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #s(literal -1 binary64)))
	91.8%	#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (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)))))

Compiler

Compiled 396 to 334 computations (15.7% saved)

simplify17.0ms (0.1%)

Memory

0.8MiB live, 40.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64))
cost-diff	704	(/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)) #s(literal 1 binary64))
cost-diff	6080	(*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
cost-diff	12928	(pow.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
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	0	(pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64))
cost-diff	12928	(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))
cost-diff	0	(log.f64 #s(literal 10 binary64))
cost-diff	0	(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64))
cost-diff	0	(.f64 (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (log.f64 (fma.f64 im im (*.f64 re re))))
cost-diff	6080	(*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
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	(log.f64 #s(literal 10 binary64))
cost-diff	0	(hypot.f64 re im)
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)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	187
0	58	167
1	74	163
2	101	163
3	125	163
4	147	163
5	160	163
6	177	163
7	181	163
8	182	163
0	182	163

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize128.0ms (0.4%)

Memory

-35.3MiB live, 339.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.20703125	(pow.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
accuracy	0.234375	(pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))
accuracy	0.234375	(*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
accuracy	0.76171875	(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64))
accuracy	0	(log.f64 #s(literal 10 binary64))
accuracy	0.08984375	(pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64))
accuracy	0.4052925293053261	(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))
accuracy	0.4831238281475362	(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))
accuracy	0	(log.f64 #s(literal 10 binary64))
accuracy	0.234375	(.f64 (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (log.f64 (fma.f64 im im (*.f64 re re))))
accuracy	0.76171875	(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64))
accuracy	26.876662341240312	(log.f64 (fma.f64 im im (*.f64 re re)))
accuracy	0	(log.f64 im)
accuracy	0	(log.f64 #s(literal 10 binary64))
accuracy	0.44759750976844204	(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
accuracy	0.5222506538747016	#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
accuracy	0	(hypot.f64 re im)
accuracy	0	(log.f64 (hypot.f64 re im))
accuracy	0	(log.f64 #s(literal 10 binary64))
accuracy	0.44759750976844204	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))

Samples

63.0ms	195×	0	valid
39.0ms	61×	0	invalid

Compiler

Compiled 266 to 31 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-mult: 19.0ms (27.1% of total)

ival-log: 15.0ms (21.4% of total)

ival-hypot: 14.0ms (20% of total)

ival-pow: 13.0ms (18.5% of total)

ival-div: 5.0ms (7.1% of total)

ival-pow2: 2.0ms (2.9% of total)

ival-add: 1.0ms (1.4% of total)

exact: 1.0ms (1.4% of total)

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

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

series117.0ms (0.4%)

Memory

11.2MiB live, 358.4MiB allocated

Counts

18 → 348

Calls

Call 1

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

Outputs
#s(alt (/ (log im) (log 10)) (taylor 0 re) (#s(alt (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10))) (taylor 0 re) (#s(alt (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (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))) (taylor 0 re) (#s(alt (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (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))) (taylor 0 re) (#s(alt (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (log im) (taylor 0 re) (#s(alt (log.f64 (hypot.f64 re im)) (patch (log.f64 (hypot.f64 re im)) #<representation binary64>) () ())) ())
#s(alt (+ (log im) (* 1/2 (/ (pow re 2) (pow im 2)))) (taylor 0 re) (#s(alt (log.f64 (hypot.f64 re im)) (patch (log.f64 (hypot.f64 re im)) #<representation binary64>) () ())) ())
#s(alt (+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))) (taylor 0 re) (#s(alt (log.f64 (hypot.f64 re im)) (patch (log.f64 (hypot.f64 re im)) #<representation binary64>) () ())) ())
#s(alt (+ (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)))))) (taylor 0 re) (#s(alt (log.f64 (hypot.f64 re im)) (patch (log.f64 (hypot.f64 re im)) #<representation binary64>) () ())) ())
#s(alt im (taylor 0 re) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt (+ im (* 1/2 (/ (pow re 2) im))) (taylor 0 re) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt (+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im))))) (taylor 0 re) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt (+ 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))))) (taylor 0 re) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
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Calls

6 calls:

Time	Variable		Point	Expression
43.0ms	im	@	0	((/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (log 10) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (log im) (* (pow (log 10) -1) 1/2) (* (* (pow (log 10) -1) 1/2) (log (+ (* im im) (* re re)))) (pow (log 10) -1) (pow (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) 2) (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) (pow (/ (pow (log (sqrt (+ (* im im) (* re re)))) -1) 1) -1) (* (pow (log 10) -1) (pow (/ (pow (log (sqrt (+ (* im im) (* re re)))) -1) 1) -1)) (/ (pow (log (sqrt (+ (* im im) (* re re)))) -1) 1) (log (+ (* im im) (* re re))) (pow (log (sqrt (+ (* im im) (* re re)))) -1))
20.0ms	im	@	-inf	((/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (log 10) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (log im) (* (pow (log 10) -1) 1/2) (* (* (pow (log 10) -1) 1/2) (log (+ (* im im) (* re re)))) (pow (log 10) -1) (pow (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) 2) (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) (pow (/ (pow (log (sqrt (+ (* im im) (* re re)))) -1) 1) -1) (* (pow (log 10) -1) (pow (/ (pow (log (sqrt (+ (* im im) (* re re)))) -1) 1) -1)) (/ (pow (log (sqrt (+ (* im im) (* re re)))) -1) 1) (log (+ (* im im) (* re re))) (pow (log (sqrt (+ (* im im) (* re re)))) -1))
18.0ms	im	@	inf	((/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (log 10) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (log im) (* (pow (log 10) -1) 1/2) (* (* (pow (log 10) -1) 1/2) (log (+ (* im im) (* re re)))) (pow (log 10) -1) (pow (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) 2) (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) (pow (/ (pow (log (sqrt (+ (* im im) (* re re)))) -1) 1) -1) (* (pow (log 10) -1) (pow (/ (pow (log (sqrt (+ (* im im) (* re re)))) -1) 1) -1)) (/ (pow (log (sqrt (+ (* im im) (* re re)))) -1) 1) (log (+ (* im im) (* re re))) (pow (log (sqrt (+ (* im im) (* re re)))) -1))
10.0ms	re	@	inf	((/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (log 10) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (log im) (* (pow (log 10) -1) 1/2) (* (* (pow (log 10) -1) 1/2) (log (+ (* im im) (* re re)))) (pow (log 10) -1) (pow (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) 2) (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) (pow (/ (pow (log (sqrt (+ (* im im) (* re re)))) -1) 1) -1) (* (pow (log 10) -1) (pow (/ (pow (log (sqrt (+ (* im im) (* re re)))) -1) 1) -1)) (/ (pow (log (sqrt (+ (* im im) (* re re)))) -1) 1) (log (+ (* im im) (* re re))) (pow (log (sqrt (+ (* im im) (* re re)))) -1))
4.0ms	re	@	0	((/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (log 10) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (log im) (* (pow (log 10) -1) 1/2) (* (* (pow (log 10) -1) 1/2) (log (+ (* im im) (* re re)))) (pow (log 10) -1) (pow (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) 2) (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) (pow (/ (pow (log (sqrt (+ (* im im) (* re re)))) -1) 1) -1) (* (pow (log 10) -1) (pow (/ (pow (log (sqrt (+ (* im im) (* re re)))) -1) 1) -1)) (/ (pow (log (sqrt (+ (* im im) (* re re)))) -1) 1) (log (+ (* im im) (* re re))) (pow (log (sqrt (+ (* im im) (* re re)))) -1))

simplify234.0ms (0.7%)

Memory

20.6MiB live, 564.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	974	10652
1	2975	10262
0	8750	9782

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 344

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)))))
(/ (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))))))
(* 1/2 (/ (log (pow im 2)) (log 10)))
(+ (* 1/2 (/ (log (pow im 2)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))
(+ (* 1/2 (/ (log (pow im 2)) (log 10))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))))
(+ (* 1/2 (/ (log (pow im 2)) (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))
(+ (* 1/2 (/ (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 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)))
(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))))))
(/ (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 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 (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)))))
(/ 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)))
(* -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)))))))
(* -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))))))
(* -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)))) (+ (* 1/6 (/ (pow im 6) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 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)))))))
(* (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))))
(+ (* 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)))))) (+ (* 1/2 (* (/ (- (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (log 10))) (* 1/4 (/ (* (pow im 2) (- (* -1/4 (/ (pow im 4) (log 10))) (* 1/16 (/ (pow im 4) (* (log 10) (* (log (/ 1 re)) (pow (sqrt -1) 2))))))) (* (log (/ 1 re)) (pow (sqrt -1) 2))))) (* (pow re 6) (sqrt -1))) (sqrt (/ (log 10) (log (/ 1 re)))))) (* (sqrt (/ (log (/ 1 re)) (log 10))) (sqrt -1)))))
(* -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)))))))
(* -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 (/ (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)))
(- (* -1/2 (/ (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)))))))
(* -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)))))
(/ -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)))))))
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Outputs
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(+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -2 binary64) (fma.f64 (/.f64 re im) (/.f64 re im) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 4 binary64)))))
(+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2)))))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -2 binary64) (fma.f64 (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/3 binary64) (fma.f64 (/.f64 re im) (/.f64 re im) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 4 binary64))))))
(/ -1 (log (/ -1 im)))
(/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(- (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (/ 1 (log (/ -1 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))))
(- (* -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)))))
(-.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)))))
(- (* -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)))))))
(-.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)))))))

rewrite465.0ms (1.4%)

Memory

-233.8MiB live, 384.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	132
0	58	105
1	159	103
2	705	103
3	5731	103
0	8619	103

Stop Event

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

Counts

18 → 1 001

Calls

Call 1

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

Outputs
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eval208.0ms (0.6%)

Memory: 45.3MiB live, 343.3MiB allocated
Compiler: Compiled 30 433 to 3 350 computations (89% saved)

prune62.0ms (0.2%)

Memory

-16.8MiB live, 109.2MiB allocated

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	1 402	11	1 413
Fresh	9	2	11
Picked	3	2	5
Done	0	0	0
Total	1 414	15	1 429

Accuracy

100.0%

Counts

1 429 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.5%	(pow.f64 #s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))) #s(literal 2 binary64))
	99.0%	(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))))
▶	99.1%	(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) (log.f64 #s(literal 10 binary64)))
	50.0%	(/.f64 (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
▶	98.0%	(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))
✓	99.1%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
✓	98.1%	(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
	99.1%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))))
	98.1%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
	98.0%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
	97.6%	(.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) #s(approx (pow (/ (pow (log (sqrt (+ ( im im) (* re re)))) -1) 1) -1) (log.f64 im)))
	75.4%	(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 10 binary64))) (sqrt.f64 (log.f64 (hypot.f64 im re))))
▶	50.0%	(.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (log.f64 (fma.f64 im im (.f64 re re))))
▶	50.2%	(.f64 (.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (log.f64 (fma.f64 im im (*.f64 re re))))
	74.1%	(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 283 to 270 computations (4.6% saved)

simplify100.0ms (0.3%)

Memory

7.8MiB live, 44.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64))
cost-diff	0	(.f64 (.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (log.f64 (fma.f64 im im (*.f64 re re))))
cost-diff	6080	(*.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
cost-diff	6464	(pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
cost-diff	0	(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
cost-diff	0	(sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))
cost-diff	0	#s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))))
cost-diff	0	(pow.f64 #s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))) #s(literal 2 binary64))
cost-diff	0	(log.f64 (fma.f64 im im (*.f64 re re)))
cost-diff	0	(log.f64 #s(literal 1/10 binary64))
cost-diff	0	(/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64)))
cost-diff	0	(.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (log.f64 (fma.f64 im im (.f64 re re))))
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 (hypot.f64 im re))
cost-diff	0	(/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))
cost-diff	0	(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) (log.f64 #s(literal 10 binary64)))
cost-diff	1408	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	43	233
0	64	216
1	84	204
2	121	204
3	178	200
4	264	200
5	479	200
6	913	200
7	1512	200
8	1818	200
9	2105	200
10	2386	200
11	2448	200
12	2588	200
13	2846	200
14	2858	200
15	2872	200
16	2874	200
17	2874	200
0	2874	200

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize164.0ms (0.5%)

Memory

14.4MiB live, 174.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 re re)
accuracy	0	(log.f64 #s(literal 10 binary64))
accuracy	0.234375	(.f64 (.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (log.f64 (fma.f64 im im (*.f64 re re))))
accuracy	26.876662341240312	(log.f64 (fma.f64 im im (*.f64 re re)))
accuracy	0.09375	(sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))
accuracy	0.4052925293053261	(pow.f64 #s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))) #s(literal 2 binary64))
accuracy	0.44369125976844204	(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
accuracy	0.4995224738854712	#s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))))
accuracy	0.234375	(.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (log.f64 (fma.f64 im im (.f64 re re))))
accuracy	0.76171875	(/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64)))
accuracy	0.76171875	(log.f64 #s(literal 1/10 binary64))
accuracy	26.876662341240312	(log.f64 (fma.f64 im im (*.f64 re re)))
accuracy	0	(log.f64 im)
accuracy	0.44759750976844204	(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))
accuracy	0.5222506538747016	#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
accuracy	0.76171875	(log.f64 #s(literal 1/10 binary64))
accuracy	0	(log.f64 #s(literal 10 binary64))
accuracy	0.20703125	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))))
accuracy	0.234375	(/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))
accuracy	0.44759750976844204	(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) (log.f64 #s(literal 10 binary64)))

Samples

101.0ms	195×	0	valid
38.0ms	61×	0	invalid

Compiler

Compiled 253 to 37 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 114.0ms

ival-log: 30.0ms (26.3% of total)

ival-hypot: 27.0ms (23.7% of total)

const: 15.0ms (13.2% of total)

ival-div: 12.0ms (10.5% of total)

ival-mult: 12.0ms (10.5% of total)

ival-pow: 9.0ms (7.9% of total)

ival-pow2: 5.0ms (4.4% of total)

ival-sqrt: 2.0ms (1.8% of total)

ival-add: 1.0ms (0.9% of total)

exact: 1.0ms (0.9% of total)

ival-neg: 1.0ms (0.9% of total)

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

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

series295.0ms (0.9%)

Memory

-7.4MiB live, 224.4MiB allocated

Counts

22 → 336

Calls

Call 1

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

Outputs
#s(alt (log im) (taylor 0 re) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) #<representation binary64>) () ())) ())
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#s(alt (+ (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)))))) (taylor 0 re) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) #<representation binary64>) () ())) ())
#s(alt (/ (log im) (log 10)) (taylor 0 re) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
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#s(alt (+ (* (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))) (taylor 0 re) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
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#s(alt (log im) (taylor 0 re) (#s(alt (log.f64 (hypot.f64 im re)) (patch (log.f64 (hypot.f64 im re)) #<representation binary64>) () ())) ())
#s(alt (+ (log im) (* 1/2 (/ (pow re 2) (pow im 2)))) (taylor 0 re) (#s(alt (log.f64 (hypot.f64 im re)) (patch (log.f64 (hypot.f64 im re)) #<representation binary64>) () ())) ())
#s(alt (+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))) (taylor 0 re) (#s(alt (log.f64 (hypot.f64 im re)) (patch (log.f64 (hypot.f64 im re)) #<representation binary64>) () ())) ())
#s(alt (+ (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)))))) (taylor 0 re) (#s(alt (log.f64 (hypot.f64 im re)) (patch (log.f64 (hypot.f64 im re)) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (/ (log im) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10))))) (taylor 0 re) (#s(alt (/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) (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 (+ (* -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))))))) (taylor 0 re) (#s(alt (/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) (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 (+ (* -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))))))) (taylor 0 re) (#s(alt (/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) (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 (* -1 (log im)) (taylor 0 re) (#s(alt (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (patch (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #<representation binary64>) () ())) ())
#s(alt (- (* -1/2 (/ (pow re 2) (pow im 2))) (log im)) (taylor 0 re) (#s(alt (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (patch (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow re 2) (- (* 1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))) (log im)) (taylor 0 re) (#s(alt (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (patch (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #<representation binary64>) () ())) ())
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#s(alt (+ (log im) (* 1/2 (/ (pow re 2) (pow im 2)))) (taylor 0 re) (#s(alt #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (patch #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))) (taylor 0 re) (#s(alt #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (patch #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #<representation binary64>) () ())) ())
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#s(alt (* -1/2 (/ (log (pow im 2)) (log 1/10))) (taylor 0 re) (#s(alt (.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (log.f64 (fma.f64 im im (.f64 re re)))) (patch (.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (log.f64 (fma.f64 im im (.f64 re re)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ (log (pow im 2)) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10))))) (taylor 0 re) (#s(alt (.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (log.f64 (fma.f64 im im (.f64 re re)))) (patch (.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (log.f64 (fma.f64 im im (.f64 re re)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -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))))))) (taylor 0 re) (#s(alt (.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (log.f64 (fma.f64 im im (.f64 re re)))) (patch (.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (log.f64 (fma.f64 im im (.f64 re re)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -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))))))) (taylor 0 re) (#s(alt (.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (log.f64 (fma.f64 im im (.f64 re re)))) (patch (.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (log.f64 (fma.f64 im im (.f64 re re)))) #<representation binary64>) () ())) ())
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#s(alt (+ (log (pow im 2)) (* (pow re 2) (+ (* -1/2 (/ (pow re 2) (pow im 4))) (/ 1 (pow im 2))))) (taylor 0 re) (#s(alt (log.f64 (fma.f64 im im (.f64 re re))) (patch (log.f64 (fma.f64 im im (.f64 re re))) #<representation binary64>) () ())) ())
#s(alt (+ (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))))) (taylor 0 re) (#s(alt (log.f64 (fma.f64 im im (.f64 re re))) (patch (log.f64 (fma.f64 im im (.f64 re re))) #<representation binary64>) () ())) ())
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#s(alt (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10))) (taylor 0 re) (#s(alt (pow.f64 #s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 #s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* (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))) (taylor 0 re) (#s(alt (pow.f64 #s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 #s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* (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))) (taylor 0 re) (#s(alt (pow.f64 #s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 #s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
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Calls

6 calls:

Time	Variable		Point	Expression
94.0ms	im	@	0	((/ -1 (/ -1 (log (sqrt (+ (* im im) (* re re)))))) (/ (/ -1 (/ -1 (log (sqrt (+ (* im im) (* re re)))))) (log 10)) (/ -1 (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (/ (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 1/10)) (log (+ (* im im) (* re re)))) (/ -1/2 (log 1/10)) (log 1/10) (log (+ (* im im) (* re re))) (pow (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) 2) (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt (/ (log im) (log 10))) (/ (log im) (log 10)) (pow (pow (log 10) -1/2) 2) (* (pow (pow (log 10) -1/2) 2) 1/2) (* (* (pow (pow (log 10) -1/2) 2) 1/2) (log (+ (* im im) (* re re)))) (pow (log 10) -1/2) (log 10) (* re re))
55.0ms	im	@	inf	((/ -1 (/ -1 (log (sqrt (+ (* im im) (* re re)))))) (/ (/ -1 (/ -1 (log (sqrt (+ (* im im) (* re re)))))) (log 10)) (/ -1 (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (/ (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 1/10)) (log (+ (* im im) (* re re)))) (/ -1/2 (log 1/10)) (log 1/10) (log (+ (* im im) (* re re))) (pow (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) 2) (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt (/ (log im) (log 10))) (/ (log im) (log 10)) (pow (pow (log 10) -1/2) 2) (* (pow (pow (log 10) -1/2) 2) 1/2) (* (* (pow (pow (log 10) -1/2) 2) 1/2) (log (+ (* im im) (* re re)))) (pow (log 10) -1/2) (log 10) (* re re))
51.0ms	im	@	-inf	((/ -1 (/ -1 (log (sqrt (+ (* im im) (* re re)))))) (/ (/ -1 (/ -1 (log (sqrt (+ (* im im) (* re re)))))) (log 10)) (/ -1 (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (/ (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 1/10)) (log (+ (* im im) (* re re)))) (/ -1/2 (log 1/10)) (log 1/10) (log (+ (* im im) (* re re))) (pow (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) 2) (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt (/ (log im) (log 10))) (/ (log im) (log 10)) (pow (pow (log 10) -1/2) 2) (* (pow (pow (log 10) -1/2) 2) 1/2) (* (* (pow (pow (log 10) -1/2) 2) 1/2) (log (+ (* im im) (* re re)))) (pow (log 10) -1/2) (log 10) (* re re))
43.0ms	re	@	0	((/ -1 (/ -1 (log (sqrt (+ (* im im) (* re re)))))) (/ (/ -1 (/ -1 (log (sqrt (+ (* im im) (* re re)))))) (log 10)) (/ -1 (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (/ (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 1/10)) (log (+ (* im im) (* re re)))) (/ -1/2 (log 1/10)) (log 1/10) (log (+ (* im im) (* re re))) (pow (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) 2) (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt (/ (log im) (log 10))) (/ (log im) (log 10)) (pow (pow (log 10) -1/2) 2) (* (pow (pow (log 10) -1/2) 2) 1/2) (* (* (pow (pow (log 10) -1/2) 2) 1/2) (log (+ (* im im) (* re re)))) (pow (log 10) -1/2) (log 10) (* re re))
4.0ms	re	@	inf	((/ -1 (/ -1 (log (sqrt (+ (* im im) (* re re)))))) (/ (/ -1 (/ -1 (log (sqrt (+ (* im im) (* re re)))))) (log 10)) (/ -1 (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (/ (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 1/10)) (log (+ (* im im) (* re re)))) (/ -1/2 (log 1/10)) (log 1/10) (log (+ (* im im) (* re re))) (pow (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) 2) (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt (/ (log im) (log 10))) (/ (log im) (log 10)) (pow (pow (log 10) -1/2) 2) (* (pow (pow (log 10) -1/2) 2) 1/2) (* (* (pow (pow (log 10) -1/2) 2) 1/2) (log (+ (* im im) (* re re)))) (pow (log 10) -1/2) (log 10) (* re re))

simplify249.0ms (0.8%)

Memory

26.5MiB live, 220.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	860	8402
1	2477	8054
0	8302	7688

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

Calls

Call 1

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

Outputs
(log im)
(log.f64 im)
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))
(fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) re) re (log.f64 im))
(+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))
(fma.f64 (fma.f64 (/.f64 (.f64 re re) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 im im))) (*.f64 re re) (log.f64 im))
(+ (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))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 re re) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/6 binary64) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (.f64 re re) (/.f64 #s(literal 1/2 binary64) (.f64 im im))) (.f64 re re) (log.f64 im))
(/ (log im) (log 10))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10)))
(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))))
(+ (* (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)))
(fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 (.f64 re re) (pow.f64 im #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))) (.f64 im im))) (*.f64 re re) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))
(+ (* (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)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 (.f64 re re) (pow.f64 im #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (log.f64 #s(literal 10 binary64)))) (.f64 re re) (/.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))) (.f64 im im))) (.f64 re re) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))
(/ -1 (log im))
(/.f64 #s(literal -1 binary64) (log.f64 im))
(- (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log im) 2)))) (/ 1 (log im)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 im) #s(literal 2 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 #s(literal -1 binary64) (log.f64 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)))
(fma.f64 (fma.f64 (neg.f64 (.f64 re re)) (+.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 im) #s(literal 3 binary64))) (pow.f64 im #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 im) #s(literal 2 binary64))) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 im) #s(literal 2 binary64))) (.f64 im im))) (*.f64 re re) (/.f64 #s(literal -1 binary64) (log.f64 im)))
(- (* (pow re 2) (+ (* (pow re 2) (- (* (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)))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 im) #s(literal 2 binary64))) (pow.f64 im #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (log.f64 im) #s(literal 3 binary64))) (pow.f64 im #s(literal 6 binary64)))) (.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 im) #s(literal 3 binary64))) (pow.f64 im #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 im) #s(literal 2 binary64))) (pow.f64 im #s(literal 4 binary64)))) (.f64 (.f64 (log.f64 im) im) im)) #s(literal -1/2 binary64))) (.f64 re re) (neg.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 im) #s(literal 3 binary64))) (pow.f64 im #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 im) #s(literal 2 binary64))) (pow.f64 im #s(literal 4 binary64)))))) (.f64 re re) (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 im) #s(literal 2 binary64))) (.f64 im im))) (*.f64 re re) (/.f64 #s(literal -1 binary64) (log.f64 im)))
(log im)
(log.f64 im)
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))
(fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) re) re (log.f64 im))
(+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))
(fma.f64 (fma.f64 (/.f64 (.f64 re re) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 im im))) (*.f64 re re) (log.f64 im))
(+ (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))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 re re) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/6 binary64) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (.f64 re re) (/.f64 #s(literal 1/2 binary64) (.f64 im im))) (.f64 re re) (log.f64 im))
(* -1 (/ (log im) (log 1/10)))
(/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64)))
(+ (* -1 (/ (log im) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))))
(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))))
(+ (* -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)))))))
(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 (/.f64 #s(literal -1/2 binary64) (.f64 im im)) (log.f64 #s(literal 1/10 binary64)))) (*.f64 re re) (/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64))))
(+ (* -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)))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 (.f64 re re) (pow.f64 im #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 1/10 binary64))) (pow.f64 im #s(literal 4 binary64)))) (.f64 re re) (/.f64 (/.f64 #s(literal -1/2 binary64) (.f64 im im)) (log.f64 #s(literal 1/10 binary64)))) (.f64 re re) (/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64))))
(* -1 (log im))
(neg.f64 (log.f64 im))
(- (* -1/2 (/ (pow re 2) (pow im 2))) (log im))
(-.f64 (.f64 (/.f64 #s(literal -1/2 binary64) im) (/.f64 (.f64 re re) im)) (log.f64 im))
(- (* (pow re 2) (- (* 1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))) (log im))
(-.f64 (.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64))) re) re (/.f64 #s(literal -1/2 binary64) (.f64 im im))) (.f64 re re)) (log.f64 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))
(-.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 re re) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (.f64 re re) (/.f64 #s(literal -1/2 binary64) (.f64 im im))) (*.f64 re re)) (log.f64 im))
(log im)
(log.f64 im)
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))
(fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) re) re (log.f64 im))
(+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))
(fma.f64 (fma.f64 (/.f64 (.f64 re re) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 im im))) (*.f64 re re) (log.f64 im))
(+ (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))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 re re) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/6 binary64) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (.f64 re re) (/.f64 #s(literal 1/2 binary64) (.f64 im im))) (.f64 re re) (log.f64 im))
(* -1/2 (/ (log (pow im 2)) (log 1/10)))
(.f64 (/.f64 (log.f64 (.f64 im im)) (log.f64 #s(literal 1/10 binary64))) #s(literal -1/2 binary64))
(+ (* -1/2 (/ (log (pow im 2)) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))))
(.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 re (log.f64 #s(literal 1/10 binary64))) (/.f64 re (.f64 im im)) (/.f64 (log.f64 (*.f64 im im)) (log.f64 #s(literal 1/10 binary64)))))
(+ (* -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)))))))
(fma.f64 (/.f64 (log.f64 (.f64 im im)) (log.f64 #s(literal 1/10 binary64))) #s(literal -1/2 binary64) (.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 (/.f64 #s(literal -1/2 binary64) (.f64 im im)) (log.f64 #s(literal 1/10 binary64)))) (*.f64 re re)))
(+ (* -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)))))))
(fma.f64 (/.f64 (log.f64 (.f64 im im)) (log.f64 #s(literal 1/10 binary64))) #s(literal -1/2 binary64) (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 (.f64 re re) (pow.f64 im #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 1/10 binary64))) (pow.f64 im #s(literal 4 binary64)))) (.f64 re re) (/.f64 (/.f64 #s(literal -1/2 binary64) (.f64 im im)) (log.f64 #s(literal 1/10 binary64)))) (.f64 re re)))
(log (pow im 2))
(log.f64 (*.f64 im im))
(+ (log (pow im 2)) (/ (pow re 2) (pow im 2)))
(fma.f64 (/.f64 re im) (/.f64 re im) (log.f64 (*.f64 im im)))
(+ (log (pow im 2)) (* (pow re 2) (+ (* -1/2 (/ (pow re 2) (pow im 4))) (/ 1 (pow im 2)))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 re re) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 im im))) (.f64 re re) (log.f64 (.f64 im im)))
(+ (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)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (.f64 re re) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 4 binary64)))) (.f64 re re) (/.f64 #s(literal 1 binary64) (.f64 im im))) (.f64 re re) (log.f64 (*.f64 im im)))
(/ (log im) (log 10))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10)))
(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))))
(+ (* (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)))
(fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 (.f64 re re) (pow.f64 im #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))) (.f64 im im))) (*.f64 re re) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))
(+ (* (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)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 (.f64 re re) (pow.f64 im #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (log.f64 #s(literal 10 binary64)))) (.f64 re re) (/.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))) (.f64 im im))) (.f64 re re) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))
(sqrt (/ (log im) (log 10)))
(sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))
(+ (sqrt (/ (log im) (log 10))) (* 1/4 (* (/ (pow re 2) (pow im 2)) (sqrt (/ 1 (* (log 10) (log im)))))))
(fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 re re)) (*.f64 im im)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (log.f64 im))) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))))
(+ (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)))))))))
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(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10)))
(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))))
(+ (* -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))))
(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)))))
(+ (* -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)))))
(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))))))
(log (/ -1 im))
(log.f64 (/.f64 #s(literal -1 binary64) im))
(- (* -1/2 (/ (pow re 2) (pow im 2))) (* -1 (log (/ -1 im))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) im) (/.f64 (*.f64 re re) im) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(- (* 1/4 (/ (pow re 4) (pow im 4))) (+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2)))))
(-.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/4 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) re) re))
(- (* -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))))))
(-.f64 (fma.f64 (/.f64 (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (pow.f64 im #s(literal 6 binary64))) #s(literal -1/720 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) re) re (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64)) (pow.f64 im #s(literal 4 binary64)))))
(* -1 (log (/ -1 im)))
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))
(fma.f64 (*.f64 (/.f64 re im) (/.f64 re im)) #s(literal 1/2 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im))))
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))
(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)))))
(+ (* -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))))))
(-.f64 (fma.f64 (/.f64 (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/720 binary64) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) re) re (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64)) (pow.f64 im #s(literal 4 binary64))))) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+ (log -1) (* -1 (log (/ -1 im))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+ (log -1) (* -1 (log (/ -1 im))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+ (log -1) (* -1 (log (/ -1 im))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+ (log -1) (* -1 (log (/ -1 im))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(/ (log (/ -1 im)) (log 1/10))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 1/10 binary64)))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10)))
(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))))
(+ (* -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))))
(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)))))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* -1/6 (/ (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)))))
(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 -1/6 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (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))))))
(* -2 (log (/ -1 im)))
(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -2 binary64))
(+ (* -2 (log (/ -1 im))) (/ (pow re 2) (pow im 2)))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -2 binary64) (*.f64 (/.f64 re im) (/.f64 re im)))
(+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -2 binary64) (fma.f64 (/.f64 re im) (/.f64 re im) (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/2 binary64)) (pow.f64 im #s(literal 4 binary64)))))
(+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2)))))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -2 binary64) (fma.f64 (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/3 binary64) (fma.f64 (/.f64 re im) (/.f64 re im) (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/2 binary64)) (pow.f64 im #s(literal 4 binary64))))))
(* -1 (/ (log (/ -1 im)) (log 10)))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 #s(literal 10 binary64))))
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))
(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)))))
(+ (* -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))))))
(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))) (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))))))
(+ (* -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)))))))
(-.f64 (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 im #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))) (.f64 (/.f64 re im) (/.f64 re im)) (*.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 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 10 binary64))))
(* (sqrt (/ (log (/ -1 im)) (log 10))) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 10 binary64)))) (sqrt.f64 #s(literal -1 binary64)))
(+ (* 1/4 (* (/ (pow re 2) (* (pow im 2) (sqrt -1))) (sqrt (/ 1 (* (log 10) (log (/ -1 im))))))) (* (sqrt (/ (log (/ -1 im)) (log 10))) (sqrt -1)))
(fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 re re)) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) im) im)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 10 binary64)))) (sqrt.f64 #s(literal -1 binary64))))
(+ (* 1/4 (* (/ (pow re 2) (* (pow im 2) (sqrt -1))) (sqrt (/ 1 (* (log 10) (log (/ -1 im))))))) (+ (* 1/2 (* (/ (- (* -1/4 (/ (pow re 4) (log 10))) (* 1/16 (/ (pow re 4) (* (log 10) (* (log (/ -1 im)) (pow (sqrt -1) 2)))))) (* (pow im 4) (sqrt -1))) (sqrt (/ (log 10) (log (/ -1 im)))))) (* (sqrt (/ (log (/ -1 im)) (log 10))) (sqrt -1))))
(fma.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im))))) (.f64 (/.f64 re (sqrt.f64 #s(literal -1 binary64))) (/.f64 re (.f64 im im))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))) (/.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) #s(literal -1/4 binary64) (.f64 #s(literal -1/16 binary64) (/.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 10 binary64)))) (sqrt.f64 #s(literal -1 binary64)))))
(+ (* 1/4 (* (/ (pow re 2) (* (pow im 2) (sqrt -1))) (sqrt (/ 1 (* (log 10) (log (/ -1 im))))))) (+ (* 1/2 (* (/ (- (* -1/4 (/ (pow re 4) (log 10))) (* 1/16 (/ (pow re 4) (* (log 10) (* (log (/ -1 im)) (pow (sqrt -1) 2)))))) (* (pow im 4) (sqrt -1))) (sqrt (/ (log 10) (log (/ -1 im)))))) (+ (* 1/2 (* (/ (- (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (log 10))) (* 1/4 (/ (* (pow re 2) (- (* -1/4 (/ (pow re 4) (log 10))) (* 1/16 (/ (pow re 4) (* (log 10) (* (log (/ -1 im)) (pow (sqrt -1) 2))))))) (* (log (/ -1 im)) (pow (sqrt -1) 2))))) (* (pow im 6) (sqrt -1))) (sqrt (/ (log 10) (log (/ -1 im)))))) (* (sqrt (/ (log (/ -1 im)) (log 10))) (sqrt -1)))))
(fma.f64 (sqrt.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) #s(literal -1/4 binary64) (.f64 #s(literal -1/16 binary64) (/.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 im #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (log.f64 #s(literal 10 binary64))) #s(literal 1/720 binary64) (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 re re)) (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) #s(literal -1/4 binary64) (.f64 #s(literal -1/16 binary64) (/.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im))))))) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 im #s(literal 6 binary64)))))) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 re re)) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) im) im)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 10 binary64)))) (sqrt.f64 #s(literal -1 binary64)))))
(sqrt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10)))
(sqrt.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 10 binary64))))
(sqrt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10)))
(sqrt.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 10 binary64))))
(sqrt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10)))
(sqrt.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 10 binary64))))
(sqrt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10)))
(sqrt.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 10 binary64))))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 10 binary64)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 10 binary64)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 10 binary64)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 10 binary64)))
(* -1 (/ (log (/ -1 im)) (log 10)))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 #s(literal 10 binary64))))
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))
(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)))))
(+ (* -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))))))
(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))) (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))))))
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/6 (/ (pow re 6) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))))
(-.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))) (.f64 (/.f64 re im) (/.f64 re im)) (.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 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 10 binary64))))

rewrite204.0ms (0.6%)

Memory

-24.2MiB live, 161.3MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	181
0	64	148
1	179	137
2	840	137
3	5865	137
0	8424	137

Stop Event

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

Counts

22 → 822

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval27.0s (81.6%)

Memory: -11.5MiB live, 173.3MiB allocated
Compiler: Compiled 29 499 to 3 566 computations (87.9% saved)

prune120.0ms (0.4%)

Memory

-19.2MiB live, 108.2MiB allocated

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	1 360	8	1 368
Fresh	4	4	8
Picked	2	3	5
Done	0	2	2
Total	1 366	17	1 383

Accuracy

100.0%

Counts

1 383 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.5%	(pow.f64 #s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64))))) #s(literal 2 binary64))
✓	74.5%	(pow.f64 #s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))) #s(literal 2 binary64))
▶	98.0%	(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
	98.1%	(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)))) (log.f64 #s(literal 10 binary64)))
▶	50.0%	(/.f64 (.f64 (log.f64 (fma.f64 re re (.f64 im im))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
	97.9%	(/.f64 (neg.f64 (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal 2 binary64))) (.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im))))
✓	98.0%	(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))
✓	99.1%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
✓	98.1%	(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
▶	99.1%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))))
	98.1%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
▶	98.0%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
	97.6%	(.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) #s(approx (pow (/ (pow (log (sqrt (+ ( im im) (* re re)))) -1) 1) -1) (log.f64 im)))
✓	50.0%	(.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (log.f64 (fma.f64 im im (.f64 re re))))
▶	98.5%	(.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) #s(approx (log (+ ( im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))))
	50.2%	(.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 #s(literal 10 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (log.f64 (fma.f64 im im (*.f64 re re))))
	74.1%	(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 305 to 296 computations (3% saved)

simplify14.0ms (0%)

Memory

32.5MiB live, 32.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (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	7040	(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
cost-diff	0	#s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im))))
cost-diff	0	(log.f64 #s(literal 1/10 binary64))
cost-diff	0	(/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64)))
cost-diff	0	(.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) #s(approx (log (+ ( im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 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 (log.f64 (fma.f64 re re (.f64 im im))) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (.f64 (log.f64 (fma.f64 re re (.f64 im im))) #s(literal 1/2 binary64)) (log.f64 #s(literal 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	(log.f64 (hypot.f64 re im))
cost-diff	0	(log.f64 #s(literal 10 binary64))
cost-diff	0	(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	225
0	63	221
1	85	221
2	108	217
3	138	217
4	163	217
5	214	217
6	250	217
7	278	217
8	315	217
9	350	217
10	394	217
11	422	217
0	422	217

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize120.0ms (0.4%)

Memory

-28.2MiB live, 212.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.328125	(/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
accuracy	0.6641359148342733	#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
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	0.33984375	(.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) #s(approx (log (+ ( im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))))
accuracy	0.3558741261739966	#s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im))))
accuracy	1.0	(/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64)))
accuracy	1.0	(log.f64 #s(literal 1/10 binary64))
accuracy	0	(log.f64 #s(literal 10 binary64))
accuracy	0.0078125	(fma.f64 re re (*.f64 im im))
accuracy	0.5709762695368841	(/.f64 (.f64 (log.f64 (fma.f64 re re (.f64 im im))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
accuracy	31.71931604145718	(log.f64 (fma.f64 re re (*.f64 im im)))
accuracy	0.28515625	(/.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	0.6205063476844203	(/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
accuracy	0.6641359148342733	#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
accuracy	1.0	(log.f64 #s(literal 1/10 binary64))
accuracy	0	(log.f64 (hypot.f64 re im))
accuracy	0	(log.f64 #s(literal 10 binary64))
accuracy	0.28515625	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))))
accuracy	0.6205063476844203	(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im)))

Samples

90.0ms

256×

valid

Compiler

Compiled 240 to 37 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-log: 25.0ms (36.2% of total)

ival-div: 18.0ms (26% of total)

ival-mult: 9.0ms (13% of total)

ival-pow: 6.0ms (8.7% of total)

ival-hypot: 4.0ms (5.8% of total)

const: 4.0ms (5.8% of total)

ival-add: 3.0ms (4.3% of total)

exact: 1.0ms (1.4% of total)

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

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

series33.0ms (0.1%)

Memory

18.4MiB live, 57.4MiB allocated

Counts

18 → 336

Calls

Call 1

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

Outputs
#s(alt (/ (log im) (log 10)) (taylor 0 re) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10))) (taylor 0 re) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (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))) (taylor 0 re) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (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))) (taylor 0 re) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im)))) #<representation binary64>) () ())) ())
#s(alt (/ (log 10) (log im)) (taylor 0 re) (#s(alt (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))) (patch (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log im) 2)))) (/ (log 10) (log im))) (taylor 0 re) (#s(alt (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))) (patch (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))) #<representation binary64>) () ())) ())
#s(alt (+ (* (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))) (taylor 0 re) (#s(alt (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))) (patch (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))) #<representation binary64>) () ())) ())
#s(alt (+ (* (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))) (taylor 0 re) (#s(alt (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))) (patch (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))) #<representation binary64>) () ())) ())
#s(alt (log im) (taylor 0 re) (#s(alt (log.f64 (hypot.f64 re im)) (patch (log.f64 (hypot.f64 re im)) #<representation binary64>) () ())) ())
#s(alt (+ (log im) (* 1/2 (/ (pow re 2) (pow im 2)))) (taylor 0 re) (#s(alt (log.f64 (hypot.f64 re im)) (patch (log.f64 (hypot.f64 re im)) #<representation binary64>) () ())) ())
#s(alt (+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))) (taylor 0 re) (#s(alt (log.f64 (hypot.f64 re im)) (patch (log.f64 (hypot.f64 re im)) #<representation binary64>) () ())) ())
#s(alt (+ (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)))))) (taylor 0 re) (#s(alt (log.f64 (hypot.f64 re im)) (patch (log.f64 (hypot.f64 re im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log im) (log 1/10))) (taylor 0 re) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) (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 (+ (* -1 (/ (log im) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10))))) (taylor 0 re) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) (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 (+ (* -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))))))) (taylor 0 re) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) (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>) () ())) ())
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#s(alt (+ (* -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)))))) (taylor -inf im) (#s(alt #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (patch #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/6 (/ (pow re 6) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))) (taylor -inf im) (#s(alt (/.f64 (.f64 (log.f64 (fma.f64 re re (.f64 im im))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (.f64 (log.f64 (fma.f64 re re (.f64 im im))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ -1 im))) (taylor -inf im) (#s(alt (.f64 (log.f64 (fma.f64 re re (.f64 im im))) #s(literal 1/2 binary64)) (patch (.f64 (log.f64 (fma.f64 re re (.f64 im im))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2)))) (taylor -inf im) (#s(alt (.f64 (log.f64 (fma.f64 re re (.f64 im im))) #s(literal 1/2 binary64)) (patch (.f64 (log.f64 (fma.f64 re re (.f64 im im))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))) (taylor -inf im) (#s(alt (.f64 (log.f64 (fma.f64 re re (.f64 im im))) #s(literal 1/2 binary64)) (patch (.f64 (log.f64 (fma.f64 re re (.f64 im im))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/6 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))) (taylor -inf im) (#s(alt (.f64 (log.f64 (fma.f64 re re (.f64 im im))) #s(literal 1/2 binary64)) (patch (.f64 (log.f64 (fma.f64 re re (.f64 im im))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2))))) (taylor -inf im) (#s(alt (log.f64 (fma.f64 re re (.f64 im im))) (patch (log.f64 (fma.f64 re re (.f64 im im))) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10))) (taylor -inf im) (#s(alt (.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) #s(approx (log (+ ( im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (.f64 #s(literal 2 binary64) (log.f64 im))))) (patch (.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -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)))) (taylor -inf im) (#s(alt (.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) #s(approx (log (+ ( im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (.f64 #s(literal 2 binary64) (log.f64 im))))) (patch (.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* -1/6 (/ (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))))) (taylor -inf im) (#s(alt (.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) #s(approx (log (+ ( im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (.f64 #s(literal 2 binary64) (log.f64 im))))) (patch (.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im))))) #<representation binary64>) () ())) ())
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#s(alt (+ (* -2 (log (/ -1 im))) (/ (pow re 2) (pow im 2))) (taylor -inf im) (#s(alt #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (.f64 #s(literal 2 binary64) (log.f64 im)))) (patch #s(approx (log (+ ( im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2)))) (taylor -inf im) (#s(alt #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (.f64 #s(literal 2 binary64) (log.f64 im)))) (patch #s(approx (log (+ ( im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2))))) (taylor -inf im) (#s(alt #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (.f64 #s(literal 2 binary64) (log.f64 im)))) (patch #s(approx (log (+ ( im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))) #<representation binary64>) () ())) ())
#s(alt (/ (log (/ -1 im)) (log 1/10)) (taylor -inf im) (#s(alt (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) (patch (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10))) (taylor -inf im) (#s(alt (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) (patch (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -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)))) (taylor -inf im) (#s(alt (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) (patch (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -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))))) (taylor -inf im) (#s(alt (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) (patch (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (log (/ -1 im))) (taylor -inf im) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (patch (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (/ 1 (log (/ -1 im)))) (taylor -inf im) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (patch (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ (+ (* -1/4 (/ (pow re 4) (pow (log (/ -1 im)) 3))) (* 1/4 (/ (pow re 4) (pow (log (/ -1 im)) 2)))) (pow im 4))) (/ 1 (log (/ -1 im)))) (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2))))) (taylor -inf im) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (patch (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ (+ (* -1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow (log (/ -1 im)) 2))) (+ (* 1/8 (/ (pow re 6) (pow (log (/ -1 im)) 3))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (pow re 4) (pow (log (/ -1 im)) 3))) (* 1/4 (/ (pow re 4) (pow (log (/ -1 im)) 2))))) (log (/ -1 im)))))) (pow im 6))) (/ 1 (log (/ -1 im)))) (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 3)))) (* 1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 2))))))) (taylor -inf im) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (patch (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	im	@	inf	((/ 1 (/ (log 10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 10) (log (sqrt (+ (* re re) (* im im))))) (log 10) (log (sqrt (+ (* re re) (* im im)))) (/ -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)))) (/ (* (log (+ (* re re) (* im im))) 1/2) (log 10)) (* (log (+ (* re re) (* im im))) 1/2) (log (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* (/ -1/2 (log 1/10)) (log (+ (* im im) (* re re)))) (/ -1/2 (log 1/10)) (log (+ (* im im) (* re re))) (/ (pow (log 1/10) -1) (/ -1 (log (sqrt (+ (* re re) (* im im)))))) (pow (log 1/10) -1) (/ -1 (log (sqrt (+ (* re re) (* im im))))))
3.0ms	re	@	inf	((/ 1 (/ (log 10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 10) (log (sqrt (+ (* re re) (* im im))))) (log 10) (log (sqrt (+ (* re re) (* im im)))) (/ -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)))) (/ (* (log (+ (* re re) (* im im))) 1/2) (log 10)) (* (log (+ (* re re) (* im im))) 1/2) (log (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* (/ -1/2 (log 1/10)) (log (+ (* im im) (* re re)))) (/ -1/2 (log 1/10)) (log (+ (* im im) (* re re))) (/ (pow (log 1/10) -1) (/ -1 (log (sqrt (+ (* re re) (* im im)))))) (pow (log 1/10) -1) (/ -1 (log (sqrt (+ (* re re) (* im im))))))
2.0ms	im	@	-inf	((/ 1 (/ (log 10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 10) (log (sqrt (+ (* re re) (* im im))))) (log 10) (log (sqrt (+ (* re re) (* im im)))) (/ -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)))) (/ (* (log (+ (* re re) (* im im))) 1/2) (log 10)) (* (log (+ (* re re) (* im im))) 1/2) (log (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* (/ -1/2 (log 1/10)) (log (+ (* im im) (* re re)))) (/ -1/2 (log 1/10)) (log (+ (* im im) (* re re))) (/ (pow (log 1/10) -1) (/ -1 (log (sqrt (+ (* re re) (* im im)))))) (pow (log 1/10) -1) (/ -1 (log (sqrt (+ (* re re) (* im im))))))
2.0ms	re	@	0	((/ 1 (/ (log 10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 10) (log (sqrt (+ (* re re) (* im im))))) (log 10) (log (sqrt (+ (* re re) (* im im)))) (/ -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)))) (/ (* (log (+ (* re re) (* im im))) 1/2) (log 10)) (* (log (+ (* re re) (* im im))) 1/2) (log (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* (/ -1/2 (log 1/10)) (log (+ (* im im) (* re re)))) (/ -1/2 (log 1/10)) (log (+ (* im im) (* re re))) (/ (pow (log 1/10) -1) (/ -1 (log (sqrt (+ (* re re) (* im im)))))) (pow (log 1/10) -1) (/ -1 (log (sqrt (+ (* re re) (* im im))))))
2.0ms	re	@	-inf	((/ 1 (/ (log 10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 10) (log (sqrt (+ (* re re) (* im im))))) (log 10) (log (sqrt (+ (* re re) (* im im)))) (/ -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)))) (/ (* (log (+ (* re re) (* im im))) 1/2) (log 10)) (* (log (+ (* re re) (* im im))) 1/2) (log (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* (/ -1/2 (log 1/10)) (log (+ (* im im) (* re re)))) (/ -1/2 (log 1/10)) (log (+ (* im im) (* re re))) (/ (pow (log 1/10) -1) (/ -1 (log (sqrt (+ (* re re) (* im im)))))) (pow (log 1/10) -1) (/ -1 (log (sqrt (+ (* re re) (* im im))))))

simplify197.0ms (0.6%)

Memory

6.9MiB live, 319.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1027	9594
1	3151	9338
0	8204	8910

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

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

Outputs
(/ (log im) (log 10))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10)))
(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))))
(+ (* (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)))
(fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 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 10 binary64)) im) im))) (.f64 re re) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))
(+ (* (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)))
(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 10 binary64))) (/.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))))) (.f64 re re) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (log.f64 #s(literal 10 binary64)) im) im))) (.f64 re re) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))
(/ (log 10) (log im))
(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))
(+ (* -1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log im) 2)))) (/ (log 10) (log im)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 im) #s(literal 2 binary64))) (.f64 (/.f64 (.f64 re re) im) (/.f64 (log.f64 #s(literal 10 binary64)) im)) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 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)))
(fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 im) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal 10 binary64)) (.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (pow.f64 im #s(literal 4 binary64)))))) (.f64 re re) (.f64 (/.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (.f64 im im)) (pow.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (.f64 re re) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 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)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (.f64 re re)) (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (log.f64 im) #s(literal 3 binary64))) (/.f64 (log.f64 #s(literal 10 binary64)) (pow.f64 im #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 im) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal 10 binary64)) (pow.f64 im #s(literal 6 binary64))) (/.f64 (.f64 #s(literal 1/8 binary64) (+.f64 (/.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 im) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal 10 binary64)) (.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (pow.f64 im #s(literal 4 binary64)))))) (.f64 (.f64 (log.f64 im) im) im)))) (.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 im) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal 10 binary64)) (.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (pow.f64 im #s(literal 4 binary64))))))) (.f64 re re) (.f64 (/.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (.f64 im im)) (pow.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (*.f64 re re) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)))
(log im)
(log.f64 im)
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (*.f64 re re) im) (log.f64 im))
(+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))
(fma.f64 (fma.f64 (/.f64 (.f64 re re) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 im im))) (*.f64 re re) (log.f64 im))
(+ (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))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 re re) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/6 binary64) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (.f64 re re) (/.f64 #s(literal 1/2 binary64) (.f64 im im))) (.f64 re re) (log.f64 im))
(* -1 (/ (log im) (log 1/10)))
(/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64)))
(+ (* -1 (/ (log im) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))))
(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))))
(+ (* -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)))))))
(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))))
(+ (* -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)))))))
(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 (log.f64 #s(literal 1/10 binary64)) (pow.f64 im #s(literal 4 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))))
(/ (log 1/10) (log im))
(/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im))
(+ (* -1/2 (/ (* (pow re 2) (log 1/10)) (* (pow im 2) (pow (log im) 2)))) (/ (log 1/10) (log im)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 im) #s(literal 2 binary64))) (.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) im) (/.f64 (.f64 re re) im)) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 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)))
(fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 im) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (pow.f64 im #s(literal 4 binary64)))))) (.f64 re re) (.f64 (/.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 im im)) (pow.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (.f64 re re) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 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)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (.f64 re re)) (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (log.f64 im) #s(literal 3 binary64))) (/.f64 (log.f64 #s(literal 1/10 binary64)) (pow.f64 im #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 im) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal 1/10 binary64)) (pow.f64 im #s(literal 6 binary64))) (/.f64 (.f64 #s(literal 1/8 binary64) (+.f64 (/.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 im) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (pow.f64 im #s(literal 4 binary64)))))) (.f64 (.f64 (log.f64 im) im) im)))) (.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 im) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (pow.f64 im #s(literal 4 binary64))))))) (.f64 re re) (.f64 (/.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 im im)) (pow.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (*.f64 re re) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im)))
(log im)
(log.f64 im)
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (*.f64 re re) im) (log.f64 im))
(+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))
(fma.f64 (fma.f64 (/.f64 (.f64 re re) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 im im))) (*.f64 re re) (log.f64 im))
(+ (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))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 re re) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/6 binary64) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (.f64 re re) (/.f64 #s(literal 1/2 binary64) (.f64 im im))) (.f64 re re) (log.f64 im))
(* 1/2 (/ (log (pow im 2)) (log 10)))
(.f64 (/.f64 (log.f64 (.f64 im im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64))
(+ (* 1/2 (/ (log (pow im 2)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))
(.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 re (.f64 im im)) (/.f64 re (log.f64 #s(literal 10 binary64))) (/.f64 (log.f64 (*.f64 im im)) (log.f64 #s(literal 10 binary64)))))
(+ (* 1/2 (/ (log (pow im 2)) (log 10))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))))
(fma.f64 (/.f64 (log.f64 (.f64 im im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64) (.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 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 10 binary64)) im) im))) (.f64 re re)))
(+ (* 1/2 (/ (log (pow im 2)) (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)))))))
(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 10 binary64))) (/.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))))) (.f64 re re) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (log.f64 #s(literal 10 binary64)) im) im))) (.f64 re re) (.f64 (/.f64 (log.f64 (.f64 im im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)))
(* 1/2 (log (pow im 2)))
(.f64 (log.f64 (.f64 im im)) #s(literal 1/2 binary64))
(+ (* 1/2 (log (pow im 2))) (* 1/2 (/ (pow re 2) (pow im 2))))
(.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 re im) (/.f64 re im) (log.f64 (.f64 im im))))
(+ (* 1/2 (log (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))
(fma.f64 (log.f64 (.f64 im im)) #s(literal 1/2 binary64) (.f64 (fma.f64 (/.f64 (.f64 re re) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 im im))) (*.f64 re re)))
(+ (* 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))))))
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(log (pow im 2))
(log.f64 (*.f64 im im))
(+ (log (pow im 2)) (/ (pow re 2) (pow im 2)))
(fma.f64 (/.f64 re im) (/.f64 re im) (log.f64 (*.f64 im im)))
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(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))))
(+ (* -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))))
(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))) (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)))))
(+ (* -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)))))
(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 1/4 binary64) (log.f64 #s(literal 1/10 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 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))))))
(/ 1 (log (/ -1 im)))
(/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (/ 1 (log (/ -1 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))))
(- (+ (* -1 (/ (+ (* -1/4 (/ (pow re 4) (pow (log (/ -1 im)) 3))) (* 1/4 (/ (pow re 4) (pow (log (/ -1 im)) 2)))) (pow im 4))) (/ 1 (log (/ -1 im)))) (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))))
(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 2 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 3 binary64)))) (pow.f64 im #s(literal 4 binary64))) #s(literal -1 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)))))
(- (+ (* -1 (/ (+ (* -1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow (log (/ -1 im)) 2))) (+ (* 1/8 (/ (pow re 6) (pow (log (/ -1 im)) 3))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (pow re 4) (pow (log (/ -1 im)) 3))) (* 1/4 (/ (pow re 4) (pow (log (/ -1 im)) 2))))) (log (/ -1 im)))))) (pow im 6))) (/ 1 (log (/ -1 im)))) (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 3)))) (* 1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 2)))))))
(-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (/.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 2 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 3 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) im))) (fma.f64 (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 1/8 binary64) (/.f64 (.f64 #s(literal -1/720 binary64) (.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))))) (pow.f64 im #s(literal 6 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) (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) (*.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)))))

rewrite138.0ms (0.4%)

Memory

7.8MiB live, 199.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	163
0	63	149
1	185	143
2	1054	141
0	8140	139

Stop Event

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

Counts

18 → 662

Calls

Call 1

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

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eval150.0ms (0.5%)

Memory: -4.0MiB live, 309.9MiB allocated
Compiler: Compiled 23 200 to 3 032 computations (86.9% saved)

prune32.0ms (0.1%)

Memory

6.2MiB live, 93.7MiB allocated

Pruning

19 alts after pruning (12 fresh and 7 done)

	Pruned	Kept	Total
New	1 088	5	1 093
Fresh	0	7	7
Picked	3	2	5
Done	0	5	5
Total	1 091	19	1 110

Accuracy

100.0%

Counts

1 110 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.5%	(pow.f64 #s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64))))) #s(literal 2 binary64))
✓	74.5%	(pow.f64 #s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))) #s(literal 2 binary64))
	98.0%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
	98.1%	(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)))) (log.f64 #s(literal 10 binary64)))
✓	50.0%	(/.f64 (.f64 (log.f64 (fma.f64 re re (.f64 im im))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
	97.9%	(/.f64 (neg.f64 (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal 2 binary64))) (.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im))))
✓	98.0%	(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))
✓	99.1%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
✓	98.1%	(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
	49.9%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/2 binary64))))
	98.1%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
	49.9%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (log.f64 (fma.f64 im im (.f64 re re)))) (*.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))))
	97.9%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))))
✓	98.0%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
	97.6%	(.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) #s(approx (pow (/ (pow (log (sqrt (+ ( im im) (* re re)))) -1) 1) -1) (log.f64 im)))
	98.1%	(.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))) #s(approx (log (+ ( im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))))
✓	50.0%	(.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (log.f64 (fma.f64 im im (.f64 re re))))
	50.2%	(.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 #s(literal 10 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (log.f64 (fma.f64 im im (*.f64 re re))))
	74.1%	(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 697 to 337 computations (51.6% saved)

regimes88.0ms (0.3%)

Memory

11.3MiB live, 169.1MiB allocated

Counts

41 → 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 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (log.f64 (fma.f64 im im (.f64 re re))))
(/.f64 (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
(/.f64 (.f64 (log.f64 (fma.f64 re re (.f64 im im))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)))) (log.f64 #s(literal 10 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (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 (log.f64 #s(literal 10 binary64)) (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (log.f64 (fma.f64 im im (.f64 re re)))) (*.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))))
(.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) #s(approx (log (+ ( im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))))
(.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))) #s(approx (log (+ ( im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))))
(.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) #s(approx (pow (/ (pow (log (sqrt (+ ( im im) (* re re)))) -1) 1) -1) (log.f64 im)))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64)))
(.f64 (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (log.f64 (fma.f64 im im (*.f64 re re))))
(pow.f64 #s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -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 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))))
(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
(pow.f64 #s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64))))) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) (log.f64 #s(literal 10 binary64)))
(.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 #s(literal 10 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (log.f64 (fma.f64 im im (*.f64 re re))))
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (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)))))
(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 (neg.f64 (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal 2 binary64))) (.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im))))
(.f64 (.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (log.f64 (fma.f64 im im (*.f64 re re))))
(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))))
(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))
(/.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))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 10 binary64))) (sqrt.f64 (log.f64 (hypot.f64 im re))))
(pow.f64 (exp.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))))) #s(literal -1 binary64))
(*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(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))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re)))) (.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1 binary64))) (*.f64 (log.f64 #s(literal 1/10 binary64)) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re)))))

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

Calls

8 calls:

12.0ms	im
11.0ms	(*.f64 im im)
11.0ms	(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
11.0ms	re
11.0ms	(+.f64 (.f64 re re) (.f64 im im))

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)

regimes59.0ms (0.2%)

Memory

4.3MiB live, 120.6MiB allocated

Counts

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

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

Calls

8 calls:

8.0ms	im
8.0ms	(*.f64 im im)
8.0ms	(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)

regimes54.0ms (0.2%)

Memory

-28.4MiB live, 94.3MiB allocated

Counts

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

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

Calls

8 calls:

12.0ms	(*.f64 im im)
9.0ms	re
8.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
5.0ms	im
5.0ms	(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im 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)

regimes41.0ms (0.1%)

Memory

-6.0MiB live, 76.5MiB allocated

Counts

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

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

Calls

8 calls:

8.0ms	re
7.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
4.0ms	im
4.0ms	(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
4.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))

Results

Accuracy	Segments	Branch
98.1%	1	`re`
98.1%	1	`im`
98.1%	1	`(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))`
98.1%	1	`(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))`
98.1%	1	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
98.1%	1	`(+.f64 (.f64 re re) (.f64 im im))`
98.1%	1	`(*.f64 re re)`
98.1%	1	`(*.f64 im im)`

Compiler

Compiled 44 to 38 computations (13.6% saved)

regimes25.0ms (0.1%)

Memory

17.8MiB live, 56.5MiB allocated

Accuracy

Total -31.6b remaining (-2602.2%)

Threshold costs -31.6b (-2602.2%)

Counts

7 → 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 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (log.f64 (fma.f64 im im (.f64 re re))))
(/.f64 (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
(/.f64 (.f64 (log.f64 (fma.f64 re re (.f64 im im))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))

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

Calls

8 calls:

5.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))
3.0ms	im
3.0ms	(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
3.0ms	re
3.0ms	(*.f64 im im)

Results

Accuracy	Segments	Branch
98.1%	1	`re`
98.1%	1	`im`
98.1%	1	`(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))`
98.1%	1	`(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))`
98.1%	1	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
98.1%	1	`(+.f64 (.f64 re re) (.f64 im im))`
98.1%	1	`(*.f64 re re)`
98.1%	1	`(*.f64 im im)`

Compiler

Compiled 44 to 38 computations (13.6% saved)

simplify25.0ms (0.1%)

Memory

-18.8MiB live, 59.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	77
1	41	77

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness732.0ms (2.2%)

Memory

7.6MiB live, 656.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	132
0	58	105
1	159	103
2	705	103
3	5731	103
0	8619	103
0	860	8402
1	2477	8054
0	8302	7688
0	268	1676
1	730	1632
2	2203	1630
3	5799	1618
0	8392	1506
0	10	41
0	17	41
1	44	41
2	251	41
3	2046	41
0	8387	25

Stop Event

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

Compiler

Compiled 255 to 160 computations (37.3% saved)

preprocess60.0ms (0.2%)

Memory

-5.6MiB live, 116.4MiB allocated

Remove

(sort re im)

(abs re)

(abs im)

Compiler

Compiled 258 to 200 computations (22.5% 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	35	187
0	58	167
1	74	163
2	101	163
3	125	163
4	147	163
5	160	163
6	177	163
7	181	163
8	182	163
0	182	163

Iter	Nodes	Cost
0	40	225
0	63	221
1	85	221
2	108	217
3	138	217
4	163	217
5	214	217
6	250	217
7	278	217
8	315	217
9	350	217
10	394	217
11	422	217
0	422	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	35	187
0	58	167
1	74	163
2	101	163
3	125	163
4	147	163
5	160	163
6	177	163
7	181	163
8	182	163
0	182	163

Iter	Nodes	Cost
0	40	225
0	63	221
1	85	221
2	108	217
3	138	217
4	163	217
5	214	217
6	250	217
7	278	217
8	315	217
9	350	217
10	394	217
11	422	217
0	422	217

start0.0ms (0%)

analyze66.0ms (0.2%)

sample1.1s (3.3%)

explain146.0ms (0.4%)

preprocess21.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize38.0ms (0.1%)

series18.0ms (0.1%)

simplify165.0ms (0.5%)

rewrite203.0ms (0.6%)

eval153.0ms (0.5%)

prune50.0ms (0.1%)

simplify17.0ms (0.1%)

localize128.0ms (0.4%)

series117.0ms (0.4%)

simplify234.0ms (0.7%)

rewrite465.0ms (1.4%)

eval208.0ms (0.6%)

prune62.0ms (0.2%)

simplify100.0ms (0.3%)

localize164.0ms (0.5%)

series295.0ms (0.9%)

simplify249.0ms (0.8%)

rewrite204.0ms (0.6%)

eval27.0s (81.6%)

prune120.0ms (0.4%)

simplify14.0ms (0%)

localize120.0ms (0.4%)

series33.0ms (0.1%)

simplify197.0ms (0.6%)

rewrite138.0ms (0.4%)

eval150.0ms (0.5%)

prune32.0ms (0.1%)

regimes88.0ms (0.3%)

regimes59.0ms (0.2%)

regimes54.0ms (0.2%)

regimes41.0ms (0.1%)

regimes25.0ms (0.1%)

simplify25.0ms (0.1%)

soundness732.0ms (2.2%)

preprocess60.0ms (0.2%)

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	35	187
0	58	167
1	74	163
2	101	163
3	125	163
4	147	163
5	160	163
6	177	163
7	181	163
8	182	163
0	182	163

Iter	Nodes	Cost
0	40	225
0	63	221
1	85	221
2	108	217
3	138	217
4	163	217
5	214	217
6	250	217
7	278	217
8	315	217
9	350	217
10	394	217
11	422	217
0	422	217