Metrics for math.log10 on complex, real part

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze58.0ms (1%)

Memory

-23.2MiB live, 59.2MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
18.8%	18.7%	81.2%	0.1%	0%	0%	0%	5
34.4%	34.3%	65.6%	0.1%	0%	0%	0%	6
54.7%	54.6%	45.3%	0.1%	0%	0%	0%	7
64.8%	64.8%	35.1%	0.1%	0%	0%	0%	8
76.2%	76.1%	23.8%	0.1%	0%	0%	0%	9
81.8%	81.8%	18.1%	0.1%	0%	0%	0%	10
87.8%	87.7%	12.2%	0.1%	0%	0%	0%	11
90.8%	90.7%	9.2%	0.1%	0%	0%	0%	12

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample1000.0ms (17.6%)

Memory

16.4MiB live, 1 093.7MiB allocated

Samples

678.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 468.0ms

ival-hypot: 203.0ms (43.4% of total)

ival-log: 200.0ms (42.8% of total)

ival-div: 51.0ms (10.9% of total)

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

exact: 5.0ms (1.1% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

explain161.0ms (2.8%)

Memory

1.6MiB live, 201.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
127	-	1	(4.946880561694237e-182 2.2023784084415782e-161)	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
0	-	0	-	`(log.f64 #s(literal 10 binary64))`
0	-	0	-	`(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))`
0	-	0	-	`(*.f64 re re)`
0	-	0	-	`im`
0	-	0	-	`(+.f64 (.f64 re re) (.f64 im im))`
0	-	0	-	`re`
0	-	0	-	`(*.f64 im im)`
0	-	0	-	`#s(literal 10 binary64)`
0	-	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	115	0
↳	`(+.f64 (.f64 re re) (.f64 im im))`	overflow	115
↳	`(*.f64 re re)`	overflow	67
↳	`(*.f64 im im)`	overflow	59
`sqrt.f64`	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`	uflow-rescue	11	0
↳	`(+.f64 (.f64 re re) (.f64 im im))`	underflow	11
↳	`(*.f64 re re)`	underflow	68
↳	`(*.f64 im im)`	underflow	55

Confusion

	Predicted +	Predicted -
+	126	1
-	0	129

Precision

1.0

Recall

0.9921259842519685

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	126	0	1
-	0	0	129

Precision?

1.0

Recall?

0.9921259842519685

Freqs

test

number	freq
0	130
1	126

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

65.0ms

512×

valid

Compiler

Compiled 110 to 34 computations (69.1% saved)

Precisions

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

ival-hypot: 24.0ms (49.5% of total)

ival-log: 12.0ms (24.8% of total)

ival-mult: 6.0ms (12.4% of total)

ival-div: 3.0ms (6.2% of total)

ival-add: 2.0ms (4.1% of total)

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

exact: 0.0ms (0% of total)

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

preprocess42.0ms (0.7%)

Memory

-13.2MiB live, 25.9MiB allocated

Algorithm

1×	egg-herbie

Rules

54×	`sub-neg`
34×	`neg-sub0`
30×	`distribute-lft-neg-in`
28×	`unsub-neg`
28×	`neg-mul-1`

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

2.8MiB live, 2.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.7%	(/.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)

simplify4.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB 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))

Rules

4×	`lower-hypot.f32`
4×	`lower-hypot.f64`
4×	`lower-fma.f64`
4×	`lift-*.f64`
4×	`lower-fma.f32`

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)

localize34.0ms (0.6%)

Memory

24.9MiB live, 62.3MiB 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	0.5993538574528624	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))
accuracy	29.39687791240687	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Samples

23.0ms

256×

valid

Compiler

Compiled 49 to 12 computations (75.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-log: 6.0ms (38.9% of total)

ival-hypot: 4.0ms (25.9% of total)

ival-mult: 3.0ms (19.5% of total)

ival-div: 1.0ms (6.5% of total)

ival-add: 1.0ms (6.5% of total)

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

exact: 0.0ms (0% of total)

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

series21.0ms (0.4%)

Memory

-12.4MiB live, 27.3MiB 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>) () ())) ())
#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 (* -1 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 (* -1 (* 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 (* -1 (* 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 (* -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)))))))) (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 0 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) (pow re 2)) (taylor 0 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) (pow re 2)) (taylor 0 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) (pow re 2)) (taylor 0 im) (#s(alt (+.f64 (.f64 re re) (.f64 im im)) (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#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>) () ())) ())
#s(alt (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))) (/ (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>) () ())) ())
#s(alt (+ (* (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))) (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>) () ())) ())
#s(alt (+ (* (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))) (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>) () ())) ())
#s(alt (log re) (taylor 0 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 (+ (log re) (* 1/2 (/ (pow im 2) (pow re 2)))) (taylor 0 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 (+ (log re) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2)))))) (taylor 0 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 (+ (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)))))) (taylor 0 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 re (taylor 0 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 (+ re (* 1/2 (/ (pow im 2) re))) (taylor 0 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 (+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re))))) (taylor 0 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 (+ 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))))) (taylor 0 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>) () ())) ())
#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 (* (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>) () ())) ())
#s(alt (* -1 (log (/ 1 im))) (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))) (* 1/2 (/ (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>) () ())) ())
#s(alt im (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 (* 1/2 (/ (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))) (* 1/2 (/ (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>) () ())) ())
#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 (* (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>) () ())) ())
#s(alt (* -1 (log (/ -1 im))) (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))) (* 1/2 (/ (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>) () ())) ())
#s(alt (* -1 im) (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 (* 1/2 (/ (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
9.0ms	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))
2.0ms	im	@	inf	((+ (* re re) (* im im)) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (* re re) (sqrt (+ (* re re) (* im im))) (log 10))
1.0ms	re	@	-inf	((+ (* re re) (* im im)) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (* re re) (sqrt (+ (* re re) (* im im))) (log 10))

simplify166.0ms (2.9%)

Memory

14.4MiB live, 207.7MiB allocated

Algorithm

1×	egg-herbie

Rules

14 804×	`lower-fma.f64`
14 804×	`lower-fma.f32`
4 746×	`lower-*.f64`
4 746×	`lower-*.f32`
3 910×	`lower-+.f64`

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)

rewrite176.0ms (3.1%)

Memory

8.2MiB live, 250.6MiB allocated

Rules

4 802×	`lower-fma.f64`
4 802×	`lower-fma.f32`
3 340×	`lower-*.f32`
3 336×	`lower-*.f64`
3 206×	`lower-/.f32`

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
(.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))))) (exp.f64 (neg.f64 (log.f64 (.f64 (-.f64 re im) (+.f64 im re))))))
(.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))))) (exp.f64 (neg.f64 (log.f64 (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64)))))))
(.f64 (pow.f64 (/.f64 (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64))) (-.f64 (pow.f64 re #s(literal 12 binary64)) (pow.f64 im #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64))) (+.f64 (pow.f64 im #s(literal 18 binary64)) (pow.f64 re #s(literal 18 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 re #s(literal 12 binary64)) (pow.f64 im #s(literal 12 binary64))) (pow.f64 (*.f64 im re) #s(literal 6 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (-.f64 re im) (+.f64 im re)) (-.f64 (pow.f64 re #s(literal 8 binary64)) (pow.f64 im #s(literal 8 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (-.f64 re im) (+.f64 im re)) (-.f64 (pow.f64 re #s(literal 12 binary64)) (pow.f64 im #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 im re) #s(literal 4 binary64)) (pow.f64 im #s(literal 8 binary64))) (pow.f64 re #s(literal 8 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 im re) (fma.f64 im im (.f64 re re))) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 re im) (*.f64 (-.f64 re im) (+.f64 im re))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (-.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (fma.f64 (.f64 im im) (fma.f64 im im (*.f64 re re)) (pow.f64 re #s(literal 4 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (-.f64 (pow.f64 re #s(literal 8 binary64)) (pow.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (.f64 im re) #s(literal 2 binary64))) #s(literal 2 binary64)))) (-.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64)))))
(.f64 (/.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (+.f64 (pow.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (.f64 im re) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 re #s(literal 12 binary64)))) (fma.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (.f64 im re) #s(literal 2 binary64))) (-.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64))) (pow.f64 re #s(literal 8 binary64))))
(*.f64 (pow.f64 (+.f64 im re) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 re im) (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (fma.f64 im im (.f64 re re)))
(.f64 (/.f64 (fma.f64 im im (.f64 re re)) (+.f64 im re)) (+.f64 im re))
(.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (.f64 (+.f64 im re) (-.f64 im re)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 re im) (+.f64 im re)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 re im) (+.f64 im re)) #s(literal -1 binary64)) (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))))
(.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))))
(.f64 (neg.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 (neg.f64 (.f64 (-.f64 re im) (+.f64 im re))) #s(literal -1 binary64)))
(.f64 (neg.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (pow.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64)))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (.f64 (-.f64 re im) (+.f64 im re)) #s(literal -1 binary64)))
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(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 im #s(literal 18 binary64)) (pow.f64 re #s(literal 18 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64))) #s(literal -1 binary64)))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 re #s(literal 12 binary64)) (pow.f64 im #s(literal 12 binary64))) (pow.f64 (*.f64 im re) #s(literal 6 binary64)))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (-.f64 re im) (+.f64 im re))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (-.f64 re im) (+.f64 im re))) #s(literal 2 binary64)))) (sqrt.f64 (+.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (-.f64 re im) (+.f64 im re))) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (-.f64 re im) (+.f64 im re))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (-.f64 re im) (+.f64 im re))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (-.f64 re im) (+.f64 im re))) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (-.f64 re im) (+.f64 im re))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (-.f64 re im) (+.f64 im re))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (-.f64 re im) (+.f64 im re))) (/.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (-.f64 re im) (+.f64 im re))))))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (*.f64 (+.f64 im re) (-.f64 im re)))))
(/.f64 (sqrt.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))))) (sqrt.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 re im) (+.f64 im re))))))
(/.f64 (sqrt.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))))) (sqrt.f64 (neg.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64)))))))
(/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 re #s(literal 8 binary64)) (pow.f64 im #s(literal 8 binary64))) #s(literal 1 binary64))) (sqrt.f64 (.f64 (+.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (*.f64 (-.f64 re im) (+.f64 im re)))))
(/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 re #s(literal 12 binary64)) (pow.f64 im #s(literal 12 binary64))) #s(literal 1 binary64))) (sqrt.f64 (.f64 (+.f64 (+.f64 (pow.f64 (.f64 im re) #s(literal 4 binary64)) (pow.f64 im #s(literal 8 binary64))) (pow.f64 re #s(literal 8 binary64))) (.f64 (-.f64 re im) (+.f64 im re)))))
(/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 re #s(literal 12 binary64)) (pow.f64 im #s(literal 12 binary64))) #s(literal 1 binary64))) (sqrt.f64 (.f64 (-.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 im #s(literal 18 binary64)) (pow.f64 re #s(literal 18 binary64))) #s(literal 1 binary64))) (sqrt.f64 (.f64 (-.f64 (+.f64 (pow.f64 re #s(literal 12 binary64)) (pow.f64 im #s(literal 12 binary64))) (pow.f64 (.f64 im re) #s(literal 6 binary64))) (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (-.f64 re im) (+.f64 im re))) (.f64 (.f64 (-.f64 re im) (+.f64 im re)) (pow.f64 im #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (*.f64 (-.f64 re im) (+.f64 im re)) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (pow.f64 (fma.f64 im im (*.f64 re re)) #s(literal -1 binary64)))))
(/.f64 (exp.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))))) (exp.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 re im) (+.f64 im re))))))
(/.f64 (exp.f64 (log.f64 (hypot.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))))) (exp.f64 (log.f64 (sqrt.f64 (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))))) (neg.f64 (sqrt.f64 (*.f64 (-.f64 re im) (+.f64 im re)))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 re #s(literal 8 binary64)) (pow.f64 im #s(literal 8 binary64)))) (sqrt.f64 (.f64 (.f64 (-.f64 re im) (+.f64 im re)) (+.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 re #s(literal 12 binary64)) (pow.f64 im #s(literal 12 binary64)))) (sqrt.f64 (.f64 (.f64 (-.f64 re im) (+.f64 im re)) (+.f64 (+.f64 (pow.f64 (*.f64 im re) #s(literal 4 binary64)) (pow.f64 im #s(literal 8 binary64))) (pow.f64 re #s(literal 8 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 re #s(literal 12 binary64)) (pow.f64 im #s(literal 12 binary64)))) (sqrt.f64 (.f64 (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64))) (-.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))))))
(/.f64 (hypot.f64 (pow.f64 im #s(literal 9 binary64)) (pow.f64 re #s(literal 9 binary64))) (sqrt.f64 (.f64 (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64))) (-.f64 (+.f64 (pow.f64 re #s(literal 12 binary64)) (pow.f64 im #s(literal 12 binary64))) (pow.f64 (*.f64 im re) #s(literal 6 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (sqrt.f64 (*.f64 (+.f64 im re) (-.f64 im re))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (*.f64 (-.f64 re im) (+.f64 im re)))))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (sqrt.f64 (*.f64 (-.f64 re im) (+.f64 im re))))
(/.f64 (hypot.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (sqrt.f64 (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (hypot.f64 im re) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (*.f64 (+.f64 im re) (-.f64 im re)) (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (pow.f64 (fma.f64 im im (*.f64 re re)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 im re) #s(literal -1 binary64)))
(sqrt.f64 (fma.f64 im im (*.f64 re re)))
(hypot.f64 im re)
(hypot.f64 re im)
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 im im (.f64 re re)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 im im (.f64 re re)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (hypot.f64 im re)))
(*.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64)))
(*.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))
(*.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)))
(/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64))
(/.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1 binary64))
(neg.f64 (log.f64 #s(literal 1/10 binary64)))
(-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (log.f64 #s(literal 10 binary64))) #s(literal -1 binary64))))
(log.f64 #s(literal 10 binary64))

eval65.0ms (1.1%)

Memory: -0.5MiB live, 122.1MiB allocated
Compiler: Compiled 10 557 to 1 829 computations (82.7% saved)

prune19.0ms (0.3%)

Memory

-39.6MiB live, 44.5MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	409	12	421
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	410	12	422

Accuracy

100.0%

Counts

422 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.6%	(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))
	75.0%	(pow.f64 (*.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #s(literal -1/2 binary64))
	99.0%	(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))))
	51.7%	(/.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)))
▶	51.6%	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
▶	98.5%	(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
	99.0%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))))
▶	99.0%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re))))
	24.4%	(-.f64 (/.f64 (log.f64 (hypot.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) (log.f64 #s(literal 10 binary64))) (/.f64 (log.f64 (sqrt.f64 (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64))))) (log.f64 #s(literal 10 binary64))))
	74.2%	(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #s(literal -1 binary64)))

Compiler

Compiled 290 to 252 computations (13.1% saved)

simplify13.0ms (0.2%)

Memory

17.8MiB live, 17.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
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 (hypot.f64 im re))
cost-diff	0	(log.f64 #s(literal 1/10 binary64))
cost-diff	0	(/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re)))
cost-diff	576	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re))))
cost-diff	0	(*.f64 re re)
cost-diff	0	(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
cost-diff	0	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
cost-diff	128	(+.f64 (.f64 re re) (.f64 im im))
cost-diff	0	(log.f64 #s(literal 10 binary64))
cost-diff	0	(log.f64 im)
cost-diff	0	#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
cost-diff	0	(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
cost-diff	0	(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)))

Rules

86×	`lower-*.f32`
82×	`lower-*.f64`
66×	`lower-fma.f64`
66×	`lower-fma.f32`
44×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	148
0	56	143
1	69	143
2	82	143
3	92	143
4	101	143
5	112	143
6	127	143
7	178	143
8	233	143
9	263	143
10	268	143
11	276	143
12	282	143
13	285	143
14	291	143
15	291	143
0	291	142

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

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

localize85.0ms (1.5%)

Memory

16.8MiB live, 134.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(log.f64 #s(literal 10 binary64))
accuracy	0.109375	(pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64))
accuracy	0.3359375	(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	0.45091635745286224	(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))
accuracy	0	(log.f64 (hypot.f64 im re))
accuracy	0.1875	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re))))
accuracy	0.45091635745286224	(/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re)))
accuracy	0.75390625	(log.f64 #s(literal 1/10 binary64))
accuracy	0.00390625	(+.f64 (.f64 re re) (.f64 im im))
accuracy	0.44568256837909415	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
accuracy	0.75390625	(log.f64 #s(literal 1/10 binary64))
accuracy	26.647482234004197	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
accuracy	0	(log.f64 im)
accuracy	0	(log.f64 #s(literal 10 binary64))
accuracy	0.10412900961498203	#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
accuracy	0.44568256837909415	(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
accuracy	0	(hypot.f64 re im)
accuracy	0	(log.f64 (hypot.f64 re im))
accuracy	0	(log.f64 #s(literal 10 binary64))
accuracy	0.44568256837909415	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))

Samples

49.0ms	193×	0	valid
15.0ms	63×	0	invalid

Compiler

Compiled 229 to 27 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-log: 14.0ms (31% of total)

ival-hypot: 9.0ms (19.9% of total)

ival-div: 7.0ms (15.5% of total)

const: 4.0ms (8.8% of total)

ival-pow: 4.0ms (8.8% of total)

ival-mult: 3.0ms (6.6% of total)

ival-pow2: 2.0ms (4.4% of total)

ival-add: 1.0ms (2.2% of total)

ival-neg: 1.0ms (2.2% of total)

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

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

exact: 0.0ms (0% of total)

series132.0ms (2.3%)

Memory

-30.8MiB live, 167.6MiB allocated

Counts

19 → 384

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

6 calls:

Time	Variable		Point	Expression
37.0ms	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) (+ (* re re) (* im im)) (/ (log (sqrt (+ (* re re) (* im im)))) (neg (log 1/10))) (log (sqrt (+ (* re re) (* im im)))) (* re re) (/ -1 (/ (log 1/10) (log (sqrt (+ (* im im) (* re re)))))) (/ (log 1/10) (log (sqrt (+ (* im im) (* re re))))) (log 1/10) (log (sqrt (+ (* 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) (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) (sqrt (+ (* re re) (* im im))))
17.0ms	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) (+ (* re re) (* im im)) (/ (log (sqrt (+ (* re re) (* im im)))) (neg (log 1/10))) (log (sqrt (+ (* re re) (* im im)))) (* re re) (/ -1 (/ (log 1/10) (log (sqrt (+ (* im im) (* re re)))))) (/ (log 1/10) (log (sqrt (+ (* im im) (* re re))))) (log 1/10) (log (sqrt (+ (* 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) (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) (sqrt (+ (* re re) (* im im))))
12.0ms	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) (+ (* re re) (* im im)) (/ (log (sqrt (+ (* re re) (* im im)))) (neg (log 1/10))) (log (sqrt (+ (* re re) (* im im)))) (* re re) (/ -1 (/ (log 1/10) (log (sqrt (+ (* im im) (* re re)))))) (/ (log 1/10) (log (sqrt (+ (* im im) (* re re))))) (log 1/10) (log (sqrt (+ (* 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) (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) (sqrt (+ (* re re) (* im im))))
7.0ms	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) (+ (* re re) (* im im)) (/ (log (sqrt (+ (* re re) (* im im)))) (neg (log 1/10))) (log (sqrt (+ (* re re) (* im im)))) (* re re) (/ -1 (/ (log 1/10) (log (sqrt (+ (* im im) (* re re)))))) (/ (log 1/10) (log (sqrt (+ (* im im) (* re re))))) (log 1/10) (log (sqrt (+ (* 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) (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) (sqrt (+ (* re re) (* im im))))
6.0ms	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) (+ (* re re) (* im im)) (/ (log (sqrt (+ (* re re) (* im im)))) (neg (log 1/10))) (log (sqrt (+ (* re re) (* im im)))) (* re re) (/ -1 (/ (log 1/10) (log (sqrt (+ (* im im) (* re re)))))) (/ (log 1/10) (log (sqrt (+ (* im im) (* re re))))) (log 1/10) (log (sqrt (+ (* 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) (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) (sqrt (+ (* re re) (* im im))))

simplify229.0ms (4%)

Memory

35.0MiB live, 264.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8 414×	`lower-fma.f64`
8 414×	`lower-fma.f32`
7 466×	`lower-*.f64`
7 466×	`lower-*.f32`
4 260×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	995	10358
1	3142	9960
0	8334	9492

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 376

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))))))
(pow im 2)
(+ (pow im 2) (pow re 2))
(+ (pow im 2) (pow re 2))
(+ (pow im 2) (pow re 2))
(* -1 (/ (log im) (log 1/10)))
(+ (* -1 (/ (log im) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))))
(+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (* (pow im 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))))
(+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (* (pow im 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow im 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))))
(log im)
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))
(+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2))))))
(pow re 2)
(pow re 2)
(pow re 2)
(pow re 2)
(* -1 (/ (log im) (log 1/10)))
(+ (* -1 (/ (log im) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))))
(+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (* (pow im 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))))
(+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (* (pow im 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow im 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))))
(/ (log 1/10) (log im))
(+ (* -1/2 (/ (* (pow re 2) (log 1/10)) (* (pow im 2) (pow (log im) 2)))) (/ (log 1/10) (log im)))
(+ (* (pow re 2) (- (* -1 (* (pow re 2) (+ (* -1/4 (/ (log 1/10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 1/10) (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ (log 1/10) (* (pow im 2) (pow (log im) 2)))))) (/ (log 1/10) (log im)))
(+ (* (pow re 2) (- (* (pow re 2) (- (* -1 (* (pow re 2) (+ (* -1/2 (/ (+ (* -1/4 (/ (log 1/10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 1/10) (* (pow im 4) (pow (log im) 3))))) (* (pow im 2) (log im)))) (+ (* 1/8 (/ (log 1/10) (* (pow im 6) (pow (log im) 3)))) (* 1/6 (/ (log 1/10) (* (pow im 6) (pow (log im) 2)))))))) (+ (* -1/4 (/ (log 1/10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 1/10) (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ (log 1/10) (* (pow im 2) (pow (log im) 2)))))) (/ (log 1/10) (log im)))
(log im)
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))
(+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2))))))
(/ (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)))
im
(+ im (* 1/2 (/ (pow re 2) im)))
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))
(+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im)))))
(* -1 (/ (log (/ 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))))))
(pow re 2)
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(/ (log (/ 1 re)) (log 1/10))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10)))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10))))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10)))))
(* -1 (log (/ 1 re)))
(+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(pow re 2)
(pow re 2)
(pow re 2)
(pow re 2)
(/ (log (/ 1 re)) (log 1/10))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10)))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10))))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10)))))
(* -1 (/ (log 1/10) (log (/ 1 re))))
(+ (* -1 (/ (log 1/10) (log (/ 1 re)))) (* -1/2 (/ (* (pow im 2) (log 1/10)) (* (pow re 2) (pow (log (/ 1 re)) 2)))))
(- (+ (* -1 (/ (log 1/10) (log (/ 1 re)))) (* -1 (/ (+ (* -1/4 (/ (* (pow im 4) (log 1/10)) (pow (log (/ 1 re)) 2))) (* 1/4 (/ (* (pow im 4) (log 1/10)) (pow (log (/ 1 re)) 3)))) (pow re 4)))) (* 1/2 (/ (* (pow im 2) (log 1/10)) (* (pow re 2) (pow (log (/ 1 re)) 2)))))
(- (+ (* -1 (/ (log 1/10) (log (/ 1 re)))) (* -1 (/ (+ (* -1/8 (/ (* (pow im 6) (log 1/10)) (pow (log (/ 1 re)) 3))) (+ (* 1/720 (/ (* (log 1/10) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow (log (/ 1 re)) 2))) (* 1/2 (/ (* (pow im 2) (+ (* -1/4 (/ (* (pow im 4) (log 1/10)) (pow (log (/ 1 re)) 2))) (* 1/4 (/ (* (pow im 4) (log 1/10)) (pow (log (/ 1 re)) 3))))) (log (/ 1 re)))))) (pow re 6)))) (+ (* -1/4 (/ (* (pow im 4) (log 1/10)) (* (pow re 4) (pow (log (/ 1 re)) 2)))) (+ (* 1/4 (/ (* (pow im 4) (log 1/10)) (* (pow re 4) (pow (log (/ 1 re)) 3)))) (* 1/2 (/ (* (pow im 2) (log 1/10)) (* (pow re 2) (pow (log (/ 1 re)) 2)))))))
(* -1 (log (/ 1 re)))
(+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(* -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)))))))
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)))
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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)))))))
(* -1 (/ (log (/ -1 im)) (log 10)))
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(* -1 im)
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
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(pow im 2)
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(- (+ (* -1 (/ (log 10) (log (/ -1 im)))) (* -1 (/ (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3)))) (pow im 4)))) (* 1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ -1 im)) 2)))))
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(* -1 im)
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))
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(* -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
(/ (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)))
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(log im)
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im
(+ im (* 1/2 (/ (pow re 2) im)))
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(/ (log im) (log 10))
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(log 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 -1/2 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 -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (.f64 (/.f64 re im) (/.f64 re im)) (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))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 1/10 binary64))))))
(* -1 (/ (log 1/10) (log (/ -1 im))))
(/.f64 (neg.f64 (log.f64 #s(literal 1/10 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+ (* -1 (/ (log 1/10) (log (/ -1 im)))) (* -1/2 (/ (* (pow re 2) (log 1/10)) (* (pow im 2) (pow (log (/ -1 im)) 2)))))
(fma.f64 (/.f64 (.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) im) (/.f64 (.f64 re re) im)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (neg.f64 (log.f64 #s(literal 1/10 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(- (+ (* -1 (/ (log 1/10) (log (/ -1 im)))) (* -1 (/ (+ (* -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)))) (pow im 4)))) (* 1/2 (/ (* (pow re 2) (log 1/10)) (* (pow im 2) (pow (log (/ -1 im)) 2)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 1/10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (log.f64 #s(literal 1/10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (pow.f64 im #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 (.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) im) (/.f64 (*.f64 re re) im)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (neg.f64 (log.f64 #s(literal 1/10 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)))))
(- (+ (* -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)))))))
(-.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 1/10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (log.f64 #s(literal 1/10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) im))) (fma.f64 (.f64 #s(literal 1/720 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 6 binary64))) (log.f64 #s(literal 1/10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))))) (neg.f64 (pow.f64 im #s(literal 6 binary64)))) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 1/10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) (fma.f64 (/.f64 (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 1/10 binary64))) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) im) (/.f64 (.f64 re re) im)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(* -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 #s(literal 1/2 binary64) im) (/.f64 (.f64 re re) im) (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 4 binary64))))) (log.f64 (/.f64 #s(literal -1 binary64) 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 #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) (log.f64 #s(literal 10 binary64))) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 #s(literal 10 binary64))))))
(+ (* -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 1/2 binary64) (log.f64 #s(literal 10 binary64))) (.f64 (/.f64 re im) (/.f64 re im)) (fma.f64 (/.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 6 binary64))) (/.f64 (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (log.f64 #s(literal 10 binary64))) (/.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) 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 #s(literal 1/4 binary64) (.f64 (/.f64 re (sqrt.f64 #s(literal -1 binary64))) (/.f64 re (.f64 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 #s(literal -1/4 binary64) (.f64 re re)) (/.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)))))) (neg.f64 (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 #s(literal 1/4 binary64) (.f64 (/.f64 re (sqrt.f64 #s(literal -1 binary64))) (/.f64 re (.f64 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 (/ (log 10) (log (/ -1 im))))
(/.f64 (neg.f64 (log.f64 #s(literal 10 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+ (* -1 (/ (log 10) (log (/ -1 im)))) (* -1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ -1 im)) 2)))))
(fma.f64 (/.f64 (.f64 (/.f64 (log.f64 #s(literal 10 binary64)) im) (/.f64 (.f64 re re) im)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (neg.f64 (log.f64 #s(literal 10 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(- (+ (* -1 (/ (log 10) (log (/ -1 im)))) (* -1 (/ (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3)))) (pow im 4)))) (* 1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ -1 im)) 2)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (pow.f64 im #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 (.f64 (/.f64 (log.f64 #s(literal 10 binary64)) im) (/.f64 (*.f64 re re) im)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (neg.f64 (log.f64 #s(literal 10 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)))))
(- (+ (* -1 (/ (log 10) (log (/ -1 im)))) (* -1 (/ (+ (* -1/8 (/ (* (pow re 6) (log 10)) (pow (log (/ -1 im)) 3))) (+ (* 1/720 (/ (* (log 10) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow (log (/ -1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log (/ -1 im)))))) (pow im 6)))) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (* (pow im 4) (pow (log (/ -1 im)) 2)))) (+ (* 1/4 (/ (* (pow re 4) (log 10)) (* (pow im 4) (pow (log (/ -1 im)) 3)))) (* 1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ -1 im)) 2)))))))
(-.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) im))) (fma.f64 (.f64 #s(literal 1/720 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (log.f64 #s(literal 10 binary64))) (pow.f64 re #s(literal 6 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))))) (neg.f64 (pow.f64 im #s(literal 6 binary64)))) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) (fma.f64 (/.f64 (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 (/.f64 (log.f64 #s(literal 10 binary64)) im) (/.f64 (.f64 re re) im)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(* -1 im)
(neg.f64 im)
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))
(.f64 (neg.f64 im) (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (.f64 re re) im) #s(literal 1 binary64)))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(.f64 (neg.f64 im) (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (.f64 re re) im) #s(literal 1 binary64))))
(* -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))))))))
(neg.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/16 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (.f64 re re) im) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 4 binary64))))) im im))

rewrite167.0ms (2.9%)

Memory

-26.8MiB live, 254.8MiB allocated

Rules

3 264×	`lower-*.f32`
3 264×	`lower-fma.f64`
3 264×	`lower-fma.f32`
3 260×	`lower-*.f64`
1 908×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	109
0	56	102
1	144	102
2	625	102
3	5300	102
0	8082	101

Stop Event

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

Counts

19 → 942

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

Outputs
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (log.f64 (log.f64 #s(literal 10 binary64))) #s(literal -1/2 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 (log.f64 (hypot.f64 im re)))) #s(literal -1/2 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (log.f64 (hypot.f64 im re))))))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (log.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64)))))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64)))))))
(*.f64 (/.f64 (log.f64 (hypot.f64 im re)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) (log.f64 #s(literal 1/10 binary64)))
(*.f64 (/.f64 (log.f64 (hypot.f64 im re)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (log.f64 (hypot.f64 im re)))
(.f64 (.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) #s(literal 3/4 binary64)) (pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) #s(literal 1/8 binary64))) (pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) #s(literal 1/8 binary64)))
(.f64 (.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) #s(literal 3/4 binary64)) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64))) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 1/4 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 (.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) #s(literal 3/4 binary64))) (pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64))) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (hypot.f64 im re)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) #s(literal 3/4 binary64)) (/.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) #s(literal 3/4 binary64)) (pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) #s(literal 1/8 binary64)) (.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) #s(literal 1/8 binary64)) (pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) #s(literal 3/4 binary64))))
(*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (neg.f64 (log.f64 (hypot.f64 im re))))
(.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) (.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) #s(literal 3/4 binary64))))
(.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 1/10 binary64))) #s(literal -1 binary64))
(*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) #s(literal 3/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) (log.f64 (hypot.f64 im re)))
(*.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) #s(literal 1 binary64))
(*.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (fma.f64 im im (*.f64 re re))) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64))))
(.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (fma.f64 im im (.f64 re re))) (log.f64 #s(literal 10 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))))
(*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)))
(.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 (fma.f64 im im (.f64 re re))) (log.f64 #s(literal 1/10 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 1/10 binary64))))
(*.f64 (log.f64 (hypot.f64 im re)) (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #s(literal 1 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (*.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))))))
(pow.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) #s(literal 1/8 binary64)) #s(literal 8 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) #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 binary64))
(/.f64 (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 1/10 binary64))) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 1/10 binary64)))))
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 1/10 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 1/10 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 1/10 binary64)))))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (hypot.f64 im re)))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 im re))) #s(literal 1 binary64)) (log.f64 #s(literal 1/10 binary64)))
(/.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))))
(/.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 1/10 binary64))) #s(literal -1 binary64))
(/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)))
(/.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) #s(literal 1 binary64))
(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64)))
(/.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 1/10 binary64)) (log.f64 (hypot.f64 im re))))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64)))
(neg.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 1/10 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 1/10 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 1/10 binary64))))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64)))))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -1/4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))))) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64)))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64)))))
(+.f64 #s(literal 0 binary64) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))))
(.f64 #s(literal 1/4 binary64) (log.f64 (pow.f64 (fma.f64 im im (.f64 re re)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 1/2 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 1/2 binary64)))
(.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/2 binary64))
(*.f64 (neg.f64 (log.f64 (hypot.f64 im re))) #s(literal -1 binary64))
(.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (log.f64 (fma.f64 im im (.f64 re re))))))
(.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1 binary64)))
(.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re))))
(*.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 im re)))
(.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (fma.f64 im im (.f64 re re)) #s(literal 1/4 binary64))))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (hypot.f64 im re))))
(*.f64 (log.f64 (hypot.f64 im re)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.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))
(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)))
(/.f64 (log.f64 (hypot.f64 im re)) #s(literal 1 binary64))
(neg.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 im re) (+.f64 im re))) (sqrt.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))))))
(neg.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 re im) (+.f64 im re))) (sqrt.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))))))
(neg.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 (+.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (*.f64 im re) #s(literal 2 binary64)))) (hypot.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))))))
(neg.f64 (neg.f64 (log.f64 (hypot.f64 im re))))
(fma.f64 #s(literal 1/4 binary64) (log.f64 (fma.f64 im im (.f64 re re))) (log.f64 (pow.f64 (fma.f64 im im (.f64 re re)) #s(literal 1/4 binary64))))
(fma.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (log.f64 (pow.f64 (sqrt.f64 (*.f64 (-.f64 im re) (+.f64 im re))) #s(literal -1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (log.f64 (pow.f64 (*.f64 (-.f64 im re) (+.f64 im re)) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (log.f64 (pow.f64 (sqrt.f64 (*.f64 (-.f64 re im) (+.f64 im re))) #s(literal -1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (log.f64 (pow.f64 (*.f64 (-.f64 re im) (+.f64 im re)) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (log.f64 (pow.f64 (sqrt.f64 (-.f64 (+.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (*.f64 im re) #s(literal 2 binary64)))) #s(literal -1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (log.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))))) (log.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 im re) (+.f64 im re))))))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))))) (log.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 re im) (+.f64 im re))))))
(-.f64 (log.f64 (neg.f64 (hypot.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))))) (log.f64 (neg.f64 (sqrt.f64 (-.f64 (+.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (*.f64 im re) #s(literal 2 binary64)))))))
(-.f64 (log.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))))) (log.f64 (sqrt.f64 (neg.f64 (*.f64 (-.f64 im re) (+.f64 im re))))))
(-.f64 (log.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))))) (log.f64 (sqrt.f64 (neg.f64 (*.f64 (-.f64 re im) (+.f64 im re))))))
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(/.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) #s(literal -1/4 binary64)) (pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) #s(literal 3/4 binary64)))
(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1 binary64)) (neg.f64 (log.f64 (hypot.f64 im re))))
(/.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 1/10 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))) (*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))))
(/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))))
(/.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal 1 binary64))
(/.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 1/10 binary64))))
(/.f64 (log.f64 #s(literal 1/10 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (hypot.f64 im re)))))
(/.f64 (log.f64 #s(literal 1/10 binary64)) (neg.f64 (log.f64 (hypot.f64 im re))))
(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))
(neg.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re))))
(fma.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)) #s(literal 0 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re))))
(exp.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))))) #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64)))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))))
(+.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)) #s(literal 0 binary64)) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))))
(+.f64 #s(literal 0 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))))
(.f64 (pow.f64 (fma.f64 im im (.f64 re re)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 im im (*.f64 re re)) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (pow.f64 (sqrt.f64 (.f64 (-.f64 im re) (+.f64 im re))) #s(literal -1 binary64)))
(.f64 (sqrt.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (pow.f64 (.f64 (-.f64 im re) (+.f64 im re)) #s(literal -1/2 binary64)))
(.f64 (sqrt.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 (sqrt.f64 (.f64 (-.f64 re im) (+.f64 im re))) #s(literal -1 binary64)))
(.f64 (sqrt.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 (.f64 (-.f64 re im) (+.f64 im re)) #s(literal -1/2 binary64)))
(.f64 (hypot.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (pow.f64 (sqrt.f64 (-.f64 (+.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (.f64 im re) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(.f64 (hypot.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (.f64 im re) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 im re) (+.f64 im re))) (sqrt.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 re im) (+.f64 im re))) (sqrt.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 (+.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (*.f64 im re) #s(literal 2 binary64)))) (hypot.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (hypot.f64 im re) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (log.f64 (fma.f64 im im (*.f64 re re)))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 im im (*.f64 re re)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 im im (*.f64 re re)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 im im (*.f64 re re)) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(pow.f64 (fma.f64 im im (*.f64 re re)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))))) (neg.f64 (sqrt.f64 (*.f64 (-.f64 im re) (+.f64 im re)))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))))) (neg.f64 (sqrt.f64 (*.f64 (-.f64 re im) (+.f64 im re)))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (-.f64 (+.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (*.f64 im re) #s(literal 2 binary64))))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (*.f64 (-.f64 im re) (+.f64 im re)))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (*.f64 (-.f64 re im) (+.f64 im re)))))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (*.f64 im re) #s(literal 2 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (sqrt.f64 (*.f64 (-.f64 im re) (+.f64 im re))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (sqrt.f64 (*.f64 (-.f64 re im) (+.f64 im re))))
(/.f64 (hypot.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (*.f64 im re) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 (-.f64 im re) (+.f64 im re))) (sqrt.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 (-.f64 re im) (+.f64 im re))) (sqrt.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (+.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (*.f64 im re) #s(literal 2 binary64)))) (hypot.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 im re) #s(literal -1 binary64)))
(sqrt.f64 (fma.f64 im im (*.f64 re re)))
(hypot.f64 (exp.f64 (log.f64 re)) (exp.f64 (log.f64 im)))
(hypot.f64 (exp.f64 (log.f64 re)) im)
(hypot.f64 (exp.f64 (log.f64 im)) (exp.f64 (log.f64 re)))
(hypot.f64 (exp.f64 (log.f64 im)) re)
(hypot.f64 im (exp.f64 (log.f64 re)))
(hypot.f64 im re)
(hypot.f64 re (exp.f64 (log.f64 im)))
(hypot.f64 re im)
(exp.f64 (.f64 (log.f64 (exp.f64 (log.f64 (fma.f64 im im (.f64 re re))))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 im im (.f64 re re)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 im im (.f64 re re)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (hypot.f64 im re)))

eval309.0ms (5.4%)

Memory: 38.3MiB live, 422.5MiB allocated
Compiler: Compiled 30 837 to 3 736 computations (87.9% saved)

prune43.0ms (0.8%)

Memory

-1.5MiB live, 119.3MiB allocated

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	1 492	12	1 504
Fresh	5	2	7
Picked	3	2	5
Done	0	0	0
Total	1 500	16	1 516

Accuracy

100.0%

Counts

1 516 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.5%	(pow.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 #s(literal 1/10 binary64))) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	31.7%	(pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
▶	74.4%	(pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	74.4%	(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))))
▶	51.7%	(/.f64 (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
▶	98.5%	(/.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)))
✓	98.5%	(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
	98.5%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
	98.5%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
	99.0%	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 10 binary64))))
	24.4%	(-.f64 (/.f64 (log.f64 (hypot.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) (log.f64 #s(literal 10 binary64))) (/.f64 (log.f64 (sqrt.f64 (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64))))) (log.f64 #s(literal 10 binary64))))
	98.6%	(*.f64 (/.f64 (log.f64 (hypot.f64 im re)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) (log.f64 #s(literal 1/10 binary64)))
	98.9%	(.f64 (/.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))
	74.0%	(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)))) #s(literal -1 binary64)))

Compiler

Compiled 355 to 334 computations (5.9% saved)

simplify18.0ms (0.3%)

Memory

-15.7MiB live, 23.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 (log.f64 #s(literal 1/10 binary64)))
cost-diff	0	(/.f64 (neg.f64 (log.f64 #s(literal 1/10 binary64))) (log.f64 (hypot.f64 im re)))
cost-diff	0	(pow.f64 (/.f64 (neg.f64 (log.f64 #s(literal 1/10 binary64))) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64))
cost-diff	12928	(pow.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 #s(literal 1/10 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	(/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
cost-diff	0	(pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #s(literal -1/2 binary64))
cost-diff	12928	(pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
cost-diff	0	(fma.f64 im im (*.f64 re re))
cost-diff	0	(log.f64 (fma.f64 im im (*.f64 re re)))
cost-diff	0	(.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/2 binary64)) (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	(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	(/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))
cost-diff	0	(log.f64 #s(literal 1/10 binary64))
cost-diff	0	(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64))
cost-diff	7040	(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))))

Rules

168×	`lower-*.f32`
164×	`lower-*.f64`
112×	`lower-fma.f32`
110×	`lower-fma.f64`
78×	`lower-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	36	242
0	59	206
1	78	202
2	106	200
3	139	198
4	181	196
5	266	196
6	343	196
7	382	196
8	392	196
9	417	196
10	423	196
11	429	196
12	438	196
0	438	196

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize108.0ms (1.9%)

Memory

9.8MiB live, 169.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.109375	(pow.f64 (/.f64 (neg.f64 (log.f64 #s(literal 1/10 binary64))) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64))
accuracy	0.3359375	(pow.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 #s(literal 1/10 binary64))) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
accuracy	0.45091635745286224	(/.f64 (neg.f64 (log.f64 #s(literal 1/10 binary64))) (log.f64 (hypot.f64 im re)))
accuracy	0.75390625	(log.f64 #s(literal 1/10 binary64))
accuracy	0.10412900961498203	#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
accuracy	0.109375	(pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #s(literal -1/2 binary64))
accuracy	0.3359375	(pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
accuracy	0.45091635745286224	(/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
accuracy	0	(*.f64 re re)
accuracy	0	(log.f64 #s(literal 10 binary64))
accuracy	0.44568256837909415	(/.f64 (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
accuracy	27.845190153567586	(log.f64 (fma.f64 im im (*.f64 re re)))
accuracy	0	(log.f64 im)
accuracy	0.10412900961498203	#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
accuracy	0.44568256837909415	(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))
accuracy	0.75390625	(log.f64 #s(literal 1/10 binary64))
accuracy	0.20703125	(/.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))))
accuracy	0.23828125	(/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))
accuracy	0.75390625	(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64))
accuracy	0.75390625	(log.f64 #s(literal 1/10 binary64))

Samples

64.0ms	193×	0	valid
19.0ms	63×	0	invalid

Compiler

Compiled 272 to 35 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-log: 16.0ms (25.9% of total)

ival-pow: 13.0ms (21% of total)

ival-div: 9.0ms (14.6% of total)

ival-hypot: 7.0ms (11.3% of total)

ival-mult: 4.0ms (6.5% of total)

const: 4.0ms (6.5% of total)

ival-pow2: 4.0ms (6.5% of total)

ival-neg: 2.0ms (3.2% of total)

ival-add: 1.0ms (1.6% of total)

exact: 1.0ms (1.6% of total)

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

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

series91.0ms (1.6%)

Memory

-6.9MiB live, 133.7MiB allocated

Counts

21 → 384

Calls

Call 1

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

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

6 calls:

Time	Variable		Point	Expression
21.0ms	re	@	inf	((/ (pow (log 1/10) -1) (/ -1 (log (sqrt (+ (* im im) (* re re)))))) (pow (log 1/10) -1) (log 1/10) (/ -1 (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) (/ (* (log (+ (* im im) (* re re))) 1/2) (log 10)) (* (log (+ (* im im) (* re re))) 1/2) (log (+ (* im im) (* re re))) (+ (* im im) (* re re)) (pow (pow (/ (log 10) (log (sqrt (+ (* re re) (* im im))))) -1/2) 2) (pow (/ (log 10) (log (sqrt (+ (* re re) (* im im))))) -1/2) (/ (log 10) (log (sqrt (+ (* re re) (* im im))))) (log 10) (pow (pow (/ (neg (log 1/10)) (log (sqrt (+ (* im im) (* re re))))) -1/2) 2) (pow (/ (neg (log 1/10)) (log (sqrt (+ (* im im) (* re re))))) -1/2) (/ (neg (log 1/10)) (log (sqrt (+ (* im im) (* re re))))) (neg (log 1/10)) (* re re))
15.0ms	im	@	inf	((/ (pow (log 1/10) -1) (/ -1 (log (sqrt (+ (* im im) (* re re)))))) (pow (log 1/10) -1) (log 1/10) (/ -1 (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) (/ (* (log (+ (* im im) (* re re))) 1/2) (log 10)) (* (log (+ (* im im) (* re re))) 1/2) (log (+ (* im im) (* re re))) (+ (* im im) (* re re)) (pow (pow (/ (log 10) (log (sqrt (+ (* re re) (* im im))))) -1/2) 2) (pow (/ (log 10) (log (sqrt (+ (* re re) (* im im))))) -1/2) (/ (log 10) (log (sqrt (+ (* re re) (* im im))))) (log 10) (pow (pow (/ (neg (log 1/10)) (log (sqrt (+ (* im im) (* re re))))) -1/2) 2) (pow (/ (neg (log 1/10)) (log (sqrt (+ (* im im) (* re re))))) -1/2) (/ (neg (log 1/10)) (log (sqrt (+ (* im im) (* re re))))) (neg (log 1/10)) (* re re))
12.0ms	im	@	0	((/ (pow (log 1/10) -1) (/ -1 (log (sqrt (+ (* im im) (* re re)))))) (pow (log 1/10) -1) (log 1/10) (/ -1 (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) (/ (* (log (+ (* im im) (* re re))) 1/2) (log 10)) (* (log (+ (* im im) (* re re))) 1/2) (log (+ (* im im) (* re re))) (+ (* im im) (* re re)) (pow (pow (/ (log 10) (log (sqrt (+ (* re re) (* im im))))) -1/2) 2) (pow (/ (log 10) (log (sqrt (+ (* re re) (* im im))))) -1/2) (/ (log 10) (log (sqrt (+ (* re re) (* im im))))) (log 10) (pow (pow (/ (neg (log 1/10)) (log (sqrt (+ (* im im) (* re re))))) -1/2) 2) (pow (/ (neg (log 1/10)) (log (sqrt (+ (* im im) (* re re))))) -1/2) (/ (neg (log 1/10)) (log (sqrt (+ (* im im) (* re re))))) (neg (log 1/10)) (* re re))
11.0ms	im	@	-inf	((/ (pow (log 1/10) -1) (/ -1 (log (sqrt (+ (* im im) (* re re)))))) (pow (log 1/10) -1) (log 1/10) (/ -1 (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) (/ (* (log (+ (* im im) (* re re))) 1/2) (log 10)) (* (log (+ (* im im) (* re re))) 1/2) (log (+ (* im im) (* re re))) (+ (* im im) (* re re)) (pow (pow (/ (log 10) (log (sqrt (+ (* re re) (* im im))))) -1/2) 2) (pow (/ (log 10) (log (sqrt (+ (* re re) (* im im))))) -1/2) (/ (log 10) (log (sqrt (+ (* re re) (* im im))))) (log 10) (pow (pow (/ (neg (log 1/10)) (log (sqrt (+ (* im im) (* re re))))) -1/2) 2) (pow (/ (neg (log 1/10)) (log (sqrt (+ (* im im) (* re re))))) -1/2) (/ (neg (log 1/10)) (log (sqrt (+ (* im im) (* re re))))) (neg (log 1/10)) (* re re))
8.0ms	re	@	0	((/ (pow (log 1/10) -1) (/ -1 (log (sqrt (+ (* im im) (* re re)))))) (pow (log 1/10) -1) (log 1/10) (/ -1 (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) (/ (* (log (+ (* im im) (* re re))) 1/2) (log 10)) (* (log (+ (* im im) (* re re))) 1/2) (log (+ (* im im) (* re re))) (+ (* im im) (* re re)) (pow (pow (/ (log 10) (log (sqrt (+ (* re re) (* im im))))) -1/2) 2) (pow (/ (log 10) (log (sqrt (+ (* re re) (* im im))))) -1/2) (/ (log 10) (log (sqrt (+ (* re re) (* im im))))) (log 10) (pow (pow (/ (neg (log 1/10)) (log (sqrt (+ (* im im) (* re re))))) -1/2) 2) (pow (/ (neg (log 1/10)) (log (sqrt (+ (* im im) (* re re))))) -1/2) (/ (neg (log 1/10)) (log (sqrt (+ (* im im) (* re re))))) (neg (log 1/10)) (* re re))

simplify235.0ms (4.1%)

Memory

4.6MiB live, 314.5MiB allocated

Algorithm

1×	egg-herbie

Rules

6 848×	`lower-*.f64`
6 848×	`lower-*.f32`
6 096×	`lower-fma.f64`
6 096×	`lower-fma.f32`
3 532×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1520	12420
1	4804	11818
0	8458	11346

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

Calls

Call 1

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

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

rewrite207.0ms (3.6%)

Memory

-29.1MiB live, 294.9MiB allocated

Rules

4 004×	`lower-*.f32`
4 000×	`lower-*.f64`
3 122×	`lower-fma.f32`
3 120×	`lower-fma.f64`
2 500×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	189
0	59	151
1	173	132
2	853	132
3	7267	132
0	8508	132

Stop Event

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

Counts

21 → 1 136

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) (log.f64 #s(literal 1/10 binary64)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))) #s(literal -3/4 binary64)) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/8 binary64))) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/8 binary64)))
(.f64 (.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))) #s(literal -3/4 binary64)) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64))) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/4 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))) #s(literal -3/4 binary64))) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64)) (log.f64 (hypot.f64 re im))))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (log.f64 (fma.f64 re re (.f64 im im))) #s(literal -1 binary64))) (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 10 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64))) (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))) #s(literal -3/4 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))) #s(literal -1/2 binary64))) (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))))
(.f64 (.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))) #s(literal -1/2 binary64)) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64))) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/2 binary64)))
(.f64 (.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64)))
(.f64 (.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (neg.f64 (log.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 1/2 binary64))
(.f64 (.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (log.f64 (fma.f64 re re (*.f64 im im))))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64))) (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64)) (neg.f64 (log.f64 (hypot.f64 re im)))))
(.f64 (/.f64 (log.f64 (fma.f64 re re (.f64 im im))) #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))))
(.f64 (/.f64 (neg.f64 (log.f64 (fma.f64 re re (.f64 im im)))) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))))
(.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64)) (neg.f64 (log.f64 (hypot.f64 re im)))))
(.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64)) (neg.f64 (log.f64 (hypot.f64 re im)))))
(.f64 (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64))))
(.f64 (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64))) (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (neg.f64 (log.f64 (fma.f64 re re (*.f64 im im)))))
(.f64 (.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))) #s(literal -3/4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64)) (log.f64 (hypot.f64 re im))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (log.f64 (fma.f64 re re (*.f64 im im))) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 10 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64)) (neg.f64 (log.f64 (hypot.f64 re im)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) #s(literal 1 binary64)) (pow.f64 (log.f64 (fma.f64 re re (.f64 im im))) #s(literal 1 binary64)))
(.f64 (pow.f64 (log.f64 (fma.f64 re re (.f64 im im))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (log.f64 (hypot.f64 re im)))
(*.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 (log.f64 (hypot.f64 re im))))
(*.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) #s(literal -1 binary64)) (pow.f64 (*.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64)) (log.f64 (hypot.f64 re im)))) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64)) (neg.f64 (log.f64 (hypot.f64 re im)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64)))
(.f64 (/.f64 (log.f64 (fma.f64 re re (.f64 im im))) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))) #s(literal -3/4 binary64)) (/.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))) #s(literal -3/4 binary64)) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)))
(.f64 (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64))) (.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64)) (log.f64 (hypot.f64 re im))))
(.f64 (neg.f64 (log.f64 (fma.f64 re re (.f64 im im)))) (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 10 binary64))))
(.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/4 binary64)) (.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64)) (neg.f64 (log.f64 (hypot.f64 re im))))))
(.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/8 binary64)) (.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/8 binary64)) (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))) #s(literal -3/4 binary64))))
(.f64 (.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64)) (log.f64 (hypot.f64 re im))) (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64)) (log.f64 (hypot.f64 re im))) #s(literal 1 binary64)))
(.f64 (.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64)) (log.f64 (hypot.f64 re im))))
(.f64 (/.f64 (log.f64 (fma.f64 re re (.f64 im im))) (log.f64 #s(literal 1/10 binary64))) #s(literal -1/2 binary64))
(.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 10 binary64))) (.f64 (log.f64 (fma.f64 re re (*.f64 im im))) #s(literal -1 binary64)))
(.f64 (.f64 (log.f64 (fma.f64 re re (*.f64 im im))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 10 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 (log.f64 (fma.f64 re re (*.f64 im im))) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 10 binary64))))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 1/10 binary64))) #s(literal -1 binary64))
(*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))) #s(literal -1/2 binary64))))
(.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) (.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))) #s(literal -3/4 binary64))))
(.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 (log.f64 (fma.f64 re re (.f64 im im))) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (log.f64 (fma.f64 re re (.f64 im im))))
(*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))) #s(literal -3/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))) #s(literal -3/4 binary64)) #s(literal 1 binary64)))
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(/.f64 (.f64 #s(literal -2 binary64) (log.f64 #s(literal 1/10 binary64))) (log.f64 (fma.f64 re re (.f64 im im))))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) (log.f64 #s(literal 1/10 binary64))) #s(literal 1/2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64))) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal -1 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) (log.f64 #s(literal 1/10 binary64)))
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(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 re im))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 re im)))))))
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(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (fma.f64 re re (.f64 im im))))) #s(literal 1/2 binary64))
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(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))) (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) (.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (log.f64 #s(literal 1/10 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))) (.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))))
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(/.f64 (.f64 (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (neg.f64 (log.f64 (hypot.f64 re im)))))
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(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (hypot.f64 re im)))) (.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))) (*.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 (hypot.f64 re im)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (log.f64 (hypot.f64 re im))) (.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 1/10 binary64)))) (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 (hypot.f64 re im))))
(/.f64 (exp.f64 (log.f64 (log.f64 #s(literal 10 binary64)))) (exp.f64 (log.f64 (log.f64 (hypot.f64 re im)))))
(/.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 1/2 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64)) (log.f64 (hypot.f64 re im)))) (.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64)) (log.f64 (hypot.f64 re im)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 1/10 binary64))))
(/.f64 (.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))))
(/.f64 (.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64)) (log.f64 (fma.f64 re re (.f64 im im))))
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(/.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal -1/2 binary64))
(/.f64 #s(literal -2 binary64) (/.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 #s(literal 1/10 binary64))))
(/.f64 (.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (neg.f64 (log.f64 (fma.f64 re re (.f64 im im)))))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 10 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64)) (log.f64 (hypot.f64 re im)))) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64)) (log.f64 (hypot.f64 re im)))) (.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64))) (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64)) (log.f64 (hypot.f64 re im))))
(/.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64))
(/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal -1 binary64)) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (fma.f64 re re (*.f64 im im))))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64)) (log.f64 (hypot.f64 re im))))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))))
(/.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (/.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 #s(literal 10 binary64))))
(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im)))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 1/10 binary64))))
(/.f64 (log.f64 #s(literal 1/10 binary64)) (exp.f64 (log.f64 (neg.f64 (log.f64 (hypot.f64 re im))))))
(/.f64 (log.f64 #s(literal 1/10 binary64)) (neg.f64 (log.f64 (hypot.f64 re im))))
(neg.f64 (/.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 re im))) #s(literal 1 binary64)))
(neg.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 re im))))
(fma.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal -1 binary64)) #s(literal 0 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64))) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 re im))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 re im))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 re im))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im)))))
(+.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal -1 binary64)) #s(literal 0 binary64)) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))))
(+.f64 #s(literal 0 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))))
(*.f64 (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))
(*.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64)))
(*.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) (log.f64 #s(literal 10 binary64)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))))
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(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)))
(/.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)))
(/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64))
(neg.f64 (log.f64 #s(literal 1/10 binary64)))
(fma.f64 (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)) #s(literal 0 binary64))
(fma.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64)) #s(literal 0 binary64))
(fma.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (log.f64 #s(literal 1/10 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64)))
(+.f64 #s(literal 0 binary64) (log.f64 #s(literal 10 binary64)))
(+.f64 (log.f64 #s(literal 10 binary64)) #s(literal 0 binary64))
(log.f64 #s(literal 10 binary64))
(*.f64 (exp.f64 (log.f64 re)) (exp.f64 (log.f64 re)))
(*.f64 re re)
(pow.f64 (exp.f64 (log.f64 re)) #s(literal 2 binary64))
(pow.f64 (*.f64 re re) #s(literal 1 binary64))
(pow.f64 re #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)))

eval353.0ms (6.2%)

Memory: 40.8MiB live, 538.6MiB allocated
Compiler: Compiled 35 472 to 4 893 computations (86.2% saved)

prune51.0ms (0.9%)

Memory

8.6MiB live, 141.4MiB allocated

Pruning

18 alts after pruning (14 fresh and 4 done)

	Pruned	Kept	Total
New	1 674	10	1 684
Fresh	5	4	9
Picked	3	2	5
Done	0	2	2
Total	1 682	18	1 700

Accuracy

100.0%

Counts

1 700 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.7%	(pow.f64 (pow.f64 (/.f64 (.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64)) (log.f64 (fma.f64 re re (.f64 im im)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
▶	74.4%	(pow.f64 #s(approx (pow (/ (neg (log 1/10)) (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))
	74.4%	(pow.f64 #s(approx (pow (/ (log 10) (log (sqrt (+ (* re re) (* im im))))) -1/2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))) #s(literal 2 binary64))
	98.5%	(/.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))))
	98.5%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) (log.f64 #s(literal 1/10 binary64)))
▶	98.5%	(/.f64 (.f64 (neg.f64 (pow.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)) #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))))
✓	51.7%	(/.f64 (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
▶	98.8%	(/.f64 (.f64 #s(approx (log (+ ( im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 (neg.f64 (log.f64 im)) #s(literal -2 binary64)))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
	98.5%	(/.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))))
✓	98.5%	(/.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)))
✓	98.5%	(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
	98.5%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
▶	98.5%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
▶	99.0%	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 10 binary64))))
	98.6%	(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) (log.f64 #s(literal 1/10 binary64)))
	98.9%	(.f64 (/.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))
	74.0%	(exp.f64 (log.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))))

Compiler

Compiled 358 to 340 computations (5% saved)

simplify224.0ms (3.9%)

Memory

-27.2MiB live, 250.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal 2 binary64))
cost-diff	0	(neg.f64 (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal 2 binary64)))
cost-diff	448	(.f64 (neg.f64 (pow.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)) #s(literal 2 binary64))) #s(literal -1 binary64))
cost-diff	13184	(/.f64 (.f64 (neg.f64 (pow.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)) #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))))
cost-diff	0	(/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64)))
cost-diff	0	(sqrt.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64))))
cost-diff	0	#s(approx (pow (/ (neg (log 1/10)) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64)))))
cost-diff	0	(pow.f64 #s(approx (pow (/ (neg (log 1/10)) (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))
cost-diff	0	#s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 (neg.f64 (log.f64 im)) #s(literal -2 binary64))))
cost-diff	0	(.f64 #s(approx (log (+ ( im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 (neg.f64 (log.f64 im)) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (.f64 #s(approx (log (+ ( im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 (neg.f64 (log.f64 im)) #s(literal -2 binary64)))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
cost-diff	128	(*.f64 (neg.f64 (log.f64 im)) #s(literal -2 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 im re))
cost-diff	0	(/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))
cost-diff	192	(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 10 binary64)))
cost-diff	832	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 10 binary64))))

Rules

28 128×	`lower-fma.f32`
28 126×	`lower-fma.f64`
4 532×	`lower-*.f32`
4 522×	`lower-*.f64`
3 198×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	367
0	74	320
1	117	309
2	209	300
3	422	290
4	1180	290
5	2297	290
6	3192	290
7	4044	290
8	4693	290
9	5196	290
10	5737	290
0	9234	287

Stop Event

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

Calls

Call 1

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

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

localize144.0ms (2.5%)

Memory

9.3MiB live, 245.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.10412900961498203	#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
accuracy	0.27181625976844204	(/.f64 (.f64 (neg.f64 (pow.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)) #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))))
accuracy	0.40757753907376804	(pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal 2 binary64))
accuracy	0.4505462890737681	(.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
accuracy	0.10151218273001768	#s(approx (pow (/ (neg (log 1/10)) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64)))))
accuracy	0.3359375	(pow.f64 #s(approx (pow (/ (neg (log 1/10)) (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))
accuracy	0.44568256837909415	(/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64)))
accuracy	0.75390625	(log.f64 #s(literal 1/10 binary64))
accuracy	0	(log.f64 im)
accuracy	0	(log.f64 #s(literal 10 binary64))
accuracy	0.03638730297756367	#s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 (neg.f64 (log.f64 im)) #s(literal -2 binary64))))
accuracy	0.44568256837909415	(/.f64 (.f64 #s(approx (log (+ ( im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 (neg.f64 (log.f64 im)) #s(literal -2 binary64)))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
accuracy	0.10412900961498203	#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
accuracy	0.1875	(/.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	0.45091635745286224	(/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
accuracy	0.75390625	(log.f64 #s(literal 1/10 binary64))
accuracy	0	(log.f64 #s(literal 10 binary64))
accuracy	0.1875	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 10 binary64))))
accuracy	0.23828125	(/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))
accuracy	0.4521675293053261	(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 10 binary64)))

Samples

75.0ms	193×	0	valid
25.0ms	63×	0	invalid

Compiler

Compiled 320 to 45 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-log: 21.0ms (28% of total)

ival-div: 14.0ms (18.7% of total)

ival-mult: 12.0ms (16% of total)

ival-hypot: 8.0ms (10.7% of total)

const: 5.0ms (6.7% of total)

ival-pow2: 5.0ms (6.7% of total)

ival-pow: 4.0ms (5.3% of total)

ival-neg: 3.0ms (4% of total)

ival-add: 2.0ms (2.7% of total)

ival-sqrt: 1.0ms (1.3% of total)

exact: 1.0ms (1.3% of total)

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

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

series190.0ms (3.3%)

Memory

-3.6MiB live, 283.6MiB allocated

Counts

23 → 456

Calls

Call 1

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

Outputs
#s(alt (/ (log im) (log 10)) (taylor 0 re) (#s(alt (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 10 binary64)))) (patch (/.f64 #s(literal -1 binary64) (.f64 (/.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) (- (* (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))) (taylor 0 re) (#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>) () ())) ())
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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 (log.f64 (hypot.f64 im re)) (patch (log.f64 (hypot.f64 im re)) #<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>) () ())) ())
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#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 (/ (log 1/10) (log im)) (taylor 0 re) (#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 (+ (* -1/2 (/ (* (pow re 2) (log 1/10)) (* (pow im 2) (pow (log im) 2)))) (/ (log 1/10) (log im))) (taylor 0 re) (#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 (+ (* (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))) (taylor 0 re) (#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 (+ (* (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))) (taylor 0 re) (#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 im) (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) (* 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>) () ())) ())
#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 #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 10))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10))))))) (taylor 0 re) (#s(alt (/.f64 (.f64 #s(approx (log (+ ( im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (.f64 (neg.f64 (log.f64 im)) #s(literal -2 binary64)))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 (neg.f64 (log.f64 im)) #s(literal -2 binary64)))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 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))))))) (taylor 0 re) (#s(alt (/.f64 (.f64 #s(approx (log (+ ( im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (.f64 (neg.f64 (log.f64 im)) #s(literal -2 binary64)))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 (neg.f64 (log.f64 im)) #s(literal -2 binary64)))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (log (pow im 2))) (taylor 0 re) (#s(alt (.f64 #s(approx (log (+ ( im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (.f64 (neg.f64 (log.f64 im)) #s(literal -2 binary64)))) #s(literal 1/2 binary64)) (patch (.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 (neg.f64 (log.f64 im)) #s(literal -2 binary64)))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (log (pow im 2))) (* 1/2 (/ (pow re 2) (pow im 2)))) (taylor 0 re) (#s(alt (.f64 #s(approx (log (+ ( im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (.f64 (neg.f64 (log.f64 im)) #s(literal -2 binary64)))) #s(literal 1/2 binary64)) (patch (.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 (neg.f64 (log.f64 im)) #s(literal -2 binary64)))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (log (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))) (taylor 0 re) (#s(alt (.f64 #s(approx (log (+ ( im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (.f64 (neg.f64 (log.f64 im)) #s(literal -2 binary64)))) #s(literal 1/2 binary64)) (patch (.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 (neg.f64 (log.f64 im)) #s(literal -2 binary64)))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (/ (* (pow re 2) (log (/ -1 im))) (pow im 2))) (pow (log (/ -1 im)) 2)) (taylor -inf im) (#s(alt (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal 2 binary64)) (patch (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* (pow re 2) (log (/ -1 im))) (pow im 2))) (+ (* 1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/2 (/ (* (pow re 4) (log (/ -1 im))) (pow im 4))) (pow (log (/ -1 im)) 2)))) (taylor -inf im) (#s(alt (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal 2 binary64)) (patch (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* (pow re 2) (log (/ -1 im))) (pow im 2))) (+ (* -1/4 (/ (pow re 6) (pow im 6))) (+ (* -1/360 (/ (* (log (/ -1 im)) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (+ (* 1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/2 (/ (* (pow re 4) (log (/ -1 im))) (pow im 4))) (pow (log (/ -1 im)) 2)))))) (taylor -inf im) (#s(alt (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal 2 binary64)) (patch (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 im)))) (taylor -inf im) (#s(alt (log.f64 im) (patch (log.f64 im) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 im)))) (taylor -inf im) (#s(alt (log.f64 im) (patch (log.f64 im) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 im)))) (taylor -inf im) (#s(alt (log.f64 im) (patch (log.f64 im) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 im)))) (taylor -inf im) (#s(alt (log.f64 im) (patch (log.f64 im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (log 10) (log (/ -1 im)))) (taylor -inf im) (#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 (+ (* -1 (* (log 10) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log 10)) (pow im 2)))) (taylor -inf im) (#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 (+ (* -1 (* (log 10) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log 10)) (pow im 2))))) (taylor -inf im) (#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 (+ (* -1 (* (log 10) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow im 4))) (+ (* 1/720 (/ (* (log 10) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log 10)) (pow im 2)))))) (taylor -inf im) (#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>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
110.0ms	im	@	0	((/ -1 (* (/ -1 (log (sqrt (+ (* im im) (* re re))))) (log 10))) (* (/ -1 (log (sqrt (+ (* im im) (* re re))))) (log 10)) (/ -1 (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (/ -1 (/ (log 1/10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 1/10) (log (sqrt (+ (* re re) (* im im))))) (log 1/10) (log (sqrt (+ (* re re) (* im im)))) (* (neg (log im)) -2) (/ (* (log (+ (* im im) (* re re))) 1/2) (log 10)) (* (log (+ (* im im) (* re re))) 1/2) (log (+ (* im im) (* re re))) (pow (pow (/ (neg (log 1/10)) (log (sqrt (+ (* im im) (* re re))))) -1/2) 2) (pow (/ (neg (log 1/10)) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt (/ (neg (log im)) (log 1/10))) (/ (neg (log im)) (log 1/10)) (/ (* (neg (pow (log (sqrt (+ (* re re) (* im im)))) 2)) -1) (* (log (sqrt (+ (* re re) (* im im)))) (log 10))) (* (neg (pow (log (sqrt (+ (* re re) (* im im)))) 2)) -1) (neg (pow (log (sqrt (+ (* re re) (* im im)))) 2)) (pow (log (sqrt (+ (* re re) (* im im)))) 2) (log 10) (log im) (* (log (sqrt (+ (* re re) (* im im)))) (log 10)))
25.0ms	im	@	inf	((/ -1 (* (/ -1 (log (sqrt (+ (* im im) (* re re))))) (log 10))) (* (/ -1 (log (sqrt (+ (* im im) (* re re))))) (log 10)) (/ -1 (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (/ -1 (/ (log 1/10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 1/10) (log (sqrt (+ (* re re) (* im im))))) (log 1/10) (log (sqrt (+ (* re re) (* im im)))) (* (neg (log im)) -2) (/ (* (log (+ (* im im) (* re re))) 1/2) (log 10)) (* (log (+ (* im im) (* re re))) 1/2) (log (+ (* im im) (* re re))) (pow (pow (/ (neg (log 1/10)) (log (sqrt (+ (* im im) (* re re))))) -1/2) 2) (pow (/ (neg (log 1/10)) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt (/ (neg (log im)) (log 1/10))) (/ (neg (log im)) (log 1/10)) (/ (* (neg (pow (log (sqrt (+ (* re re) (* im im)))) 2)) -1) (* (log (sqrt (+ (* re re) (* im im)))) (log 10))) (* (neg (pow (log (sqrt (+ (* re re) (* im im)))) 2)) -1) (neg (pow (log (sqrt (+ (* re re) (* im im)))) 2)) (pow (log (sqrt (+ (* re re) (* im im)))) 2) (log 10) (log im) (* (log (sqrt (+ (* re re) (* im im)))) (log 10)))
20.0ms	im	@	-inf	((/ -1 (* (/ -1 (log (sqrt (+ (* im im) (* re re))))) (log 10))) (* (/ -1 (log (sqrt (+ (* im im) (* re re))))) (log 10)) (/ -1 (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (/ -1 (/ (log 1/10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 1/10) (log (sqrt (+ (* re re) (* im im))))) (log 1/10) (log (sqrt (+ (* re re) (* im im)))) (* (neg (log im)) -2) (/ (* (log (+ (* im im) (* re re))) 1/2) (log 10)) (* (log (+ (* im im) (* re re))) 1/2) (log (+ (* im im) (* re re))) (pow (pow (/ (neg (log 1/10)) (log (sqrt (+ (* im im) (* re re))))) -1/2) 2) (pow (/ (neg (log 1/10)) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt (/ (neg (log im)) (log 1/10))) (/ (neg (log im)) (log 1/10)) (/ (* (neg (pow (log (sqrt (+ (* re re) (* im im)))) 2)) -1) (* (log (sqrt (+ (* re re) (* im im)))) (log 10))) (* (neg (pow (log (sqrt (+ (* re re) (* im im)))) 2)) -1) (neg (pow (log (sqrt (+ (* re re) (* im im)))) 2)) (pow (log (sqrt (+ (* re re) (* im im)))) 2) (log 10) (log im) (* (log (sqrt (+ (* re re) (* im im)))) (log 10)))
4.0ms	re	@	inf	((/ -1 (* (/ -1 (log (sqrt (+ (* im im) (* re re))))) (log 10))) (* (/ -1 (log (sqrt (+ (* im im) (* re re))))) (log 10)) (/ -1 (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (/ -1 (/ (log 1/10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 1/10) (log (sqrt (+ (* re re) (* im im))))) (log 1/10) (log (sqrt (+ (* re re) (* im im)))) (* (neg (log im)) -2) (/ (* (log (+ (* im im) (* re re))) 1/2) (log 10)) (* (log (+ (* im im) (* re re))) 1/2) (log (+ (* im im) (* re re))) (pow (pow (/ (neg (log 1/10)) (log (sqrt (+ (* im im) (* re re))))) -1/2) 2) (pow (/ (neg (log 1/10)) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt (/ (neg (log im)) (log 1/10))) (/ (neg (log im)) (log 1/10)) (/ (* (neg (pow (log (sqrt (+ (* re re) (* im im)))) 2)) -1) (* (log (sqrt (+ (* re re) (* im im)))) (log 10))) (* (neg (pow (log (sqrt (+ (* re re) (* im im)))) 2)) -1) (neg (pow (log (sqrt (+ (* re re) (* im im)))) 2)) (pow (log (sqrt (+ (* re re) (* im im)))) 2) (log 10) (log im) (* (log (sqrt (+ (* re re) (* im im)))) (log 10)))
3.0ms	re	@	-inf	((/ -1 (* (/ -1 (log (sqrt (+ (* im im) (* re re))))) (log 10))) (* (/ -1 (log (sqrt (+ (* im im) (* re re))))) (log 10)) (/ -1 (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (/ -1 (/ (log 1/10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 1/10) (log (sqrt (+ (* re re) (* im im))))) (log 1/10) (log (sqrt (+ (* re re) (* im im)))) (* (neg (log im)) -2) (/ (* (log (+ (* im im) (* re re))) 1/2) (log 10)) (* (log (+ (* im im) (* re re))) 1/2) (log (+ (* im im) (* re re))) (pow (pow (/ (neg (log 1/10)) (log (sqrt (+ (* im im) (* re re))))) -1/2) 2) (pow (/ (neg (log 1/10)) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt (/ (neg (log im)) (log 1/10))) (/ (neg (log im)) (log 1/10)) (/ (* (neg (pow (log (sqrt (+ (* re re) (* im im)))) 2)) -1) (* (log (sqrt (+ (* re re) (* im im)))) (log 10))) (* (neg (pow (log (sqrt (+ (* re re) (* im im)))) 2)) -1) (neg (pow (log (sqrt (+ (* re re) (* im im)))) 2)) (pow (log (sqrt (+ (* re re) (* im im)))) 2) (log 10) (log im) (* (log (sqrt (+ (* re re) (* im im)))) (log 10)))

simplify222.0ms (3.9%)

Memory

-7.6MiB live, 344.6MiB allocated

Algorithm

1×	egg-herbie

Rules

6 692×	`lower-*.f64`
6 692×	`lower-*.f32`
6 634×	`lower-fma.f64`
6 634×	`lower-fma.f32`
3 890×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1555	13910
1	4842	13288
0	8388	12734

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 456

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)))
(* -1 (/ (log 10) (log im)))
(+ (* -1 (/ (log 10) (log im))) (* 1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log im) 2)))))
(+ (* -1 (/ (log 10) (log im))) (* (pow re 2) (+ (* 1/2 (/ (log 10) (* (pow im 2) (pow (log im) 2)))) (* (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 (/ (log 10) (log im))) (* (pow re 2) (+ (* 1/2 (/ (log 10) (* (pow im 2) (pow (log im) 2)))) (* (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)))) (* (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 (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)))))))
(/ (log 1/10) (log im))
(+ (* -1/2 (/ (* (pow re 2) (log 1/10)) (* (pow im 2) (pow (log im) 2)))) (/ (log 1/10) (log im)))
(+ (* (pow re 2) (- (* -1 (* (pow re 2) (+ (* -1/4 (/ (log 1/10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 1/10) (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ (log 1/10) (* (pow im 2) (pow (log im) 2)))))) (/ (log 1/10) (log im)))
(+ (* (pow re 2) (- (* (pow re 2) (- (* -1 (* (pow re 2) (+ (* -1/2 (/ (+ (* -1/4 (/ (log 1/10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 1/10) (* (pow im 4) (pow (log im) 3))))) (* (pow im 2) (log im)))) (+ (* 1/8 (/ (log 1/10) (* (pow im 6) (pow (log im) 3)))) (* 1/6 (/ (log 1/10) (* (pow im 6) (pow (log im) 2)))))))) (+ (* -1/4 (/ (log 1/10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 1/10) (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ (log 1/10) (* (pow im 2) (pow (log im) 2)))))) (/ (log 1/10) (log im)))
(log im)
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))
(+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2))))))
(* 1/2 (/ (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)))))))
(* 1/2 (log (pow im 2)))
(+ (* 1/2 (log (pow im 2))) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (* 1/2 (log (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))
(+ (* 1/2 (log (pow im 2))) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2))))))
(log (pow im 2))
(+ (log (pow im 2)) (/ (pow re 2) (pow im 2)))
(+ (log (pow im 2)) (* (pow re 2) (+ (* -1/2 (/ (pow re 2) (pow im 4))) (/ 1 (pow im 2)))))
(+ (log (pow im 2)) (* (pow re 2) (+ (* (pow re 2) (- (* 1/3 (/ (pow re 2) (pow im 6))) (* 1/2 (/ 1 (pow im 4))))) (/ 1 (pow im 2)))))
(/ (* (log im) (pow (sqrt -1) 2)) (log 1/10))
(+ (* 1/2 (/ (* (pow re 2) (pow (sqrt -1) 2)) (* (pow im 2) (log 1/10)))) (/ (* (log im) (pow (sqrt -1) 2)) (log 1/10)))
(+ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (pow (sqrt -1) 2)) (* (pow im 4) (log 1/10)))) (* 1/2 (/ (pow (sqrt -1) 2) (* (pow im 2) (log 1/10)))))) (/ (* (log im) (pow (sqrt -1) 2)) (log 1/10)))
(+ (* (pow re 2) (+ (* 1/2 (/ (pow (sqrt -1) 2) (* (pow im 2) (log 1/10)))) (* (pow re 2) (+ (* -1/4 (/ (pow (sqrt -1) 2) (* (pow im 4) (log 1/10)))) (* 1/6 (/ (* (pow re 2) (pow (sqrt -1) 2)) (* (pow im 6) (log 1/10)))))))) (/ (* (log im) (pow (sqrt -1) 2)) (log 1/10)))
(* (sqrt (/ (log im) (log 1/10))) (sqrt -1))
(+ (* -1/4 (* (/ (pow re 2) (* (pow im 2) (sqrt -1))) (sqrt (/ 1 (* (log 1/10) (log im)))))) (* (sqrt (/ (log im) (log 1/10))) (sqrt -1)))
(+ (* (sqrt (/ (log im) (log 1/10))) (sqrt -1)) (* (pow re 2) (+ (* -1/4 (* (/ 1 (* (pow im 2) (sqrt -1))) (sqrt (/ 1 (* (log 1/10) (log im)))))) (* 1/2 (* (/ (* (pow re 2) (- (* 1/4 (/ 1 (* (pow im 4) (log 1/10)))) (* 1/16 (/ 1 (* (pow im 4) (* (log 1/10) (* (log im) (pow (sqrt -1) 2)))))))) (sqrt -1)) (sqrt (/ (log 1/10) (log im))))))))
(+ (* (sqrt (/ (log im) (log 1/10))) (sqrt -1)) (* (pow re 2) (+ (* -1/4 (* (/ 1 (* (pow im 2) (sqrt -1))) (sqrt (/ 1 (* (log 1/10) (log im)))))) (* (pow re 2) (+ (* -1/2 (* (/ (* (pow re 2) (+ (* -1/4 (/ (- (* 1/4 (/ 1 (* (pow im 4) (log 1/10)))) (* 1/16 (/ 1 (* (pow im 4) (* (log 1/10) (* (log im) (pow (sqrt -1) 2))))))) (* (pow im 2) (* (log im) (pow (sqrt -1) 2))))) (* 1/6 (/ 1 (* (pow im 6) (log 1/10)))))) (sqrt -1)) (sqrt (/ (log 1/10) (log im))))) (* 1/2 (* (sqrt (/ (log 1/10) (log im))) (/ (- (* 1/4 (/ 1 (* (pow im 4) (log 1/10)))) (* 1/16 (/ 1 (* (pow im 4) (* (log 1/10) (* (log im) (pow (sqrt -1) 2))))))) (sqrt -1)))))))))
(/ (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)))
(pow (log im) 2)
(+ (/ (* (pow re 2) (log im)) (pow im 2)) (pow (log im) 2))
(+ (* (pow re 2) (+ (* (pow re 2) (+ (* -1/2 (/ (log im) (pow im 4))) (* 1/4 (/ 1 (pow im 4))))) (/ (log im) (pow im 2)))) (pow (log im) 2))
(+ (* (pow re 2) (+ (* (pow re 2) (+ (* -1/2 (/ (log im) (pow im 4))) (+ (* 1/4 (/ 1 (pow im 4))) (* (pow re 2) (- (* 1/3 (/ (log im) (pow im 6))) (* 1/4 (/ 1 (pow im 6)))))))) (/ (log im) (pow im 2)))) (pow (log im) 2))
(* -1 (pow (log im) 2))
(- (* -1 (/ (* (pow re 2) (log im)) (pow im 2))) (pow (log im) 2))
(- (* (pow re 2) (- (* -1 (* (pow re 2) (+ (* -1/2 (/ (log im) (pow im 4))) (* 1/4 (/ 1 (pow im 4)))))) (/ (log im) (pow im 2)))) (pow (log im) 2))
(- (* (pow re 2) (- (* (pow re 2) (- (* (pow re 2) (- (* 1/4 (/ 1 (pow im 6))) (* 1/3 (/ (log im) (pow im 6))))) (+ (* -1/2 (/ (log im) (pow im 4))) (* 1/4 (/ 1 (pow im 4)))))) (/ (log im) (pow im 2)))) (pow (log im) 2))
(pow (log im) 2)
(+ (/ (* (pow re 2) (log im)) (pow im 2)) (pow (log im) 2))
(+ (* (pow re 2) (+ (* (pow re 2) (+ (* -1/2 (/ (log im) (pow im 4))) (* 1/4 (/ 1 (pow im 4))))) (/ (log im) (pow im 2)))) (pow (log im) 2))
(+ (* (pow re 2) (+ (* (pow re 2) (+ (* -1/2 (/ (log im) (pow im 4))) (+ (* 1/4 (/ 1 (pow im 4))) (* (pow re 2) (- (* 1/3 (/ (log im) (pow im 6))) (* 1/4 (/ 1 (pow im 6)))))))) (/ (log im) (pow im 2)))) (pow (log im) 2))
(* (log 10) (log im))
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Outputs
(/ (log im) (log 10))
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(fma.f64 (neg.f64 (.f64 re re)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (.f64 im im)) (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/4 binary64) (fma.f64 (/.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/2 binary64) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))))
(+ (* -1 (/ (* (pow re 2) (log (/ -1 im))) (pow im 2))) (+ (* -1/4 (/ (pow re 6) (pow im 6))) (+ (* -1/360 (/ (* (log (/ -1 im)) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (+ (* 1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/2 (/ (* (pow re 4) (log (/ -1 im))) (pow im 4))) (pow (log (/ -1 im)) 2))))))
(fma.f64 (neg.f64 (.f64 re re)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (.f64 im im)) (fma.f64 (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64))) (pow.f64 im #s(literal 6 binary64))) #s(literal -1/360 binary64) (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/4 binary64) (fma.f64 (/.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/2 binary64) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))))))
(+ (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)))
(* -1 (* (log 10) (log (/ -1 im))))
(*.f64 (neg.f64 (log.f64 #s(literal 10 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+ (* -1 (* (log 10) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log 10)) (pow im 2))))
(fma.f64 (neg.f64 (log.f64 #s(literal 10 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)) (.f64 (.f64 (/.f64 (log.f64 #s(literal 10 binary64)) im) (/.f64 (*.f64 re re) im)) #s(literal 1/2 binary64)))
(+ (* -1 (* (log 10) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log 10)) (pow im 2)))))
(fma.f64 (neg.f64 (log.f64 #s(literal 10 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)) (fma.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (/.f64 (log.f64 #s(literal 10 binary64)) (pow.f64 im #s(literal 4 binary64)))) #s(literal -1/4 binary64) (.f64 (.f64 (/.f64 (log.f64 #s(literal 10 binary64)) im) (/.f64 (.f64 re re) im)) #s(literal 1/2 binary64))))
(+ (* -1 (* (log 10) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow im 4))) (+ (* 1/720 (/ (* (log 10) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log 10)) (pow im 2))))))
(fma.f64 (neg.f64 (log.f64 #s(literal 10 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)) (fma.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (/.f64 (log.f64 #s(literal 10 binary64)) (pow.f64 im #s(literal 4 binary64)))) #s(literal -1/4 binary64) (fma.f64 (.f64 (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)))) #s(literal 1/720 binary64) (.f64 (.f64 (/.f64 (log.f64 #s(literal 10 binary64)) im) (/.f64 (.f64 re re) im)) #s(literal 1/2 binary64)))))

rewrite169.0ms (3%)

Memory

3.8MiB live, 330.2MiB allocated

Rules

5 010×	`lower-fma.f32`
5 008×	`lower-fma.f64`
4 632×	`lower-*.f32`
4 622×	`lower-*.f64`
2 820×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	300
0	74	242
1	238	224
2	1363	218
0	8579	212

Stop Event

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

Counts

23 → 610

Calls

Call 1

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

Outputs
(.f64 (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (*.f64 im im))))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 1/10 binary64))) #s(literal -1 binary64))
(.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 (log.f64 (fma.f64 re re (.f64 im im))) #s(literal -1 binary64)))
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) (log.f64 (hypot.f64 re im)))
(*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (neg.f64 (log.f64 (hypot.f64 re im))))
(*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))))
(*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)))
(.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 (fma.f64 re re (.f64 im im))) (log.f64 #s(literal 1/10 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 1/10 binary64))))
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 1/10 binary64))) #s(literal -1 binary64))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
(/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal -1 binary64)))
(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))))
(/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (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)) (log.f64 (hypot.f64 re im))))
(neg.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 1/10 binary64))) #s(literal 1 binary64)))
(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 1/10 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 1/10 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im)))) #s(literal -1 binary64)))
(.f64 (.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))))
(*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal -1 binary64)) (log.f64 #s(literal 1/10 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 re im))))
(.f64 #s(literal 2 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (fma.f64 re re (.f64 im im)))))
(*.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64))
(.f64 #s(literal -2 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (fma.f64 re re (.f64 im im)))))
(*.f64 (log.f64 #s(literal 1/10 binary64)) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal -1 binary64)))
(*.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 re im))) #s(literal 1 binary64))
(*.f64 (log.f64 #s(literal 10 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) (log.f64 #s(literal 10 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))))
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 1/10 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 1/10 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 1/10 binary64))))
(/.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64))
(/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 re im)))
(/.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 re im))) #s(literal 1 binary64))
(/.f64 (log.f64 #s(literal 10 binary64)) (neg.f64 (log.f64 (hypot.f64 re im))))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))))
(neg.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 re im))))
(fma.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal 0 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 re im))))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im)))) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 re im))))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal 0 binary64)) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 re im))))
(*.f64 (pow.f64 (neg.f64 (log.f64 (hypot.f64 re im))) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (log.f64 (hypot.f64 re im))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))))
(*.f64 #s(literal -1 binary64) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal -1 binary64)))
(pow.f64 (neg.f64 (log.f64 (hypot.f64 re im))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (hypot.f64 re im))))
(/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im)))
(neg.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (hypot.f64 re im)))) #s(literal -1 binary64)))
(*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64))
(*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im)))
(.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im))))
(.f64 (log.f64 (fma.f64 re re (.f64 im im))) #s(literal 1/2 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (hypot.f64 re im))))
(pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64))
(/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))))
(neg.f64 (neg.f64 (log.f64 (hypot.f64 re im))))
(-.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))))) (log.f64 (sqrt.f64 (*.f64 (+.f64 re im) (-.f64 re im)))))
(-.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))))) (log.f64 (sqrt.f64 (*.f64 (+.f64 im re) (-.f64 im re)))))
(-.f64 (log.f64 (hypot.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64)))) (log.f64 (sqrt.f64 (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 re im) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64))))))
(-.f64 (log.f64 (hypot.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64)))) (log.f64 (sqrt.f64 (+.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (*.f64 re im) #s(literal 2 binary64))) (pow.f64 im #s(literal 4 binary64))))))
(-.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (hypot.f64 re im))))
(+.f64 (log.f64 (pow.f64 (fma.f64 re re (.f64 im im)) #s(literal 1/4 binary64))) (log.f64 (pow.f64 (fma.f64 re re (.f64 im im)) #s(literal 1/4 binary64))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 re im) #s(literal -1 binary64))))
(log.f64 (hypot.f64 re im))
(.f64 (.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
(.f64 (.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #s(literal 1 binary64)) (neg.f64 (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal 2 binary64))))
(.f64 (.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #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))) (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
(.f64 (.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #s(literal -1 binary64)) (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal 2 binary64)))
(.f64 (.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal 2 binary64)))) (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #s(literal 1 binary64)) (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal 2 binary64)))
(.f64 (.f64 (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #s(literal -1 binary64)) (neg.f64 (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal 2 binary64))))
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(fma.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal 0 binary64) (.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))))
(-.f64 #s(literal 0 binary64) (.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 1/10 binary64))))
(+.f64 (.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)) #s(literal 0 binary64)) (.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))))
(+.f64 (.f64 #s(literal 0 binary64) #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im))) (.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))))

eval188.0ms (3.3%)

Memory: 15.2MiB live, 526.5MiB allocated
Compiler: Compiled 30 387 to 4 217 computations (86.1% saved)

prune39.0ms (0.7%)

Memory

-10.2MiB live, 151.0MiB allocated

Pruning

20 alts after pruning (14 fresh and 6 done)

	Pruned	Kept	Total
New	1 339	6	1 345
Fresh	1	8	9
Picked	3	2	5
Done	0	4	4
Total	1 343	20	1 363

Accuracy

100.0%

Counts

1 363 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.7%	(pow.f64 (pow.f64 (/.f64 (.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64)) (log.f64 (fma.f64 re re (.f64 im im)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
✓	74.4%	(pow.f64 #s(approx (pow (/ (neg (log 1/10)) (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))
	74.4%	(pow.f64 #s(approx (pow (/ (neg (log 1/10)) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))) #s(literal 2 binary64))
	98.5%	(/.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))))
	98.5%	(/.f64 (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal 2 binary64)) (.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))))
	98.6%	(/.f64 (/.f64 (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal 2 binary64)) (log.f64 #s(literal 10 binary64))) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
	98.5%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) (log.f64 #s(literal 1/10 binary64)))
✓	51.7%	(/.f64 (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
	98.8%	(/.f64 (.f64 #s(approx (log (+ ( im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 (neg.f64 (log.f64 im)) #s(literal -2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
	98.8%	(/.f64 (.f64 #s(approx (log (+ ( im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 (log.f64 im) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
	98.5%	(/.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))))
✓	98.5%	(/.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)))
✓	98.5%	(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
	98.5%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
✓	98.5%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
	98.5%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 10 binary64))))
	98.6%	(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) (log.f64 #s(literal 1/10 binary64)))
	98.9%	(.f64 (/.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))
	74.0%	(exp.f64 (log.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))))

Compiler

Compiled 708 to 353 computations (50.1% saved)

regimes125.0ms (2.2%)

Memory

22.3MiB live, 467.9MiB 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 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 10 binary64))))
(/.f64 (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) (log.f64 #s(literal 1/10 binary64)))
(/.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 (.f64 #s(approx (log (+ ( im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 (log.f64 im) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
(/.f64 (.f64 #s(approx (log (+ ( im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 (neg.f64 (log.f64 im)) #s(literal -2 binary64)))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
(/.f64 (.f64 #s(approx (log (+ ( im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 (neg.f64 (log.f64 im)) #s(literal -2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
(/.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)))
(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))
(pow.f64 #s(approx (pow (/ (log 10) (log (sqrt (+ (* re re) (* im im))))) -1/2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))) #s(literal 2 binary64))
(pow.f64 #s(approx (pow (/ (neg (log 1/10)) (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 (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 (/ (neg (log 1/10)) (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 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 10 binary64))))
(exp.f64 (log.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))))
(pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)))) #s(literal -1 binary64)))
(/.f64 (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal 2 binary64)) (.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 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 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal 2 binary64)) (log.f64 #s(literal 10 binary64))) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
(/.f64 (.f64 (neg.f64 (pow.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)) #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))))
(/.f64 (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)) (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 (.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64)) (log.f64 (fma.f64 re re (.f64 im im)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))))
(pow.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 #s(literal 1/10 binary64))) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (log.f64 (hypot.f64 im re)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) (log.f64 #s(literal 1/10 binary64)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) (log.f64 #s(literal 1/10 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 (log.f64 (hypot.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) (log.f64 #s(literal 10 binary64))) (/.f64 (log.f64 (sqrt.f64 (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64))))) (log.f64 #s(literal 10 binary64))))

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

Calls

8 calls:

19.0ms	re
19.0ms	im
17.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))
16.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
15.0ms	(*.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)

regimes51.0ms (0.9%)

Memory

-14.2MiB live, 187.0MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

8 calls:

8.0ms	re
7.0ms	im
7.0ms	(*.f64 im im)
6.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))
6.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Results

Accuracy	Segments	Branch
98.8%	1	`re`
98.8%	1	`im`
98.8%	1	`(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))`
98.8%	1	`(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))`
98.8%	1	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
98.8%	1	`(+.f64 (.f64 re re) (.f64 im im))`
98.8%	1	`(*.f64 re re)`
98.8%	1	`(*.f64 im im)`

Compiler

Compiled 44 to 38 computations (13.6% saved)

regimes42.0ms (0.7%)

Memory

-7.4MiB live, 152.4MiB allocated

Accuracy

Total -30.5b remaining (-3272.6%)

Threshold costs -30.5b (-3272.6%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

8 calls:

6.0ms	re
6.0ms	im
5.0ms	(*.f64 im im)
5.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
5.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))

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)

simplify23.0ms (0.4%)

Memory

-1.9MiB live, 77.7MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`-commutative-binary64-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	47
1	27	47

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

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

soundness450.0ms (7.9%)

Memory

0.2MiB live, 560.9MiB allocated

Rules

14 804×	`lower-fma.f64`
14 804×	`lower-fma.f32`
6 848×	`lower-*.f64`
6 848×	`lower-*.f32`
6 096×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1520	12420
1	4804	11818
0	8458	11346
0	49	300
0	74	242
1	238	224
2	1363	218
0	8579	212
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×	iter limit
1×	node limit

Compiler

Compiled 126 to 82 computations (34.9% saved)

preprocess36.0ms (0.6%)

Memory

-1.7MiB live, 116.1MiB allocated

Remove

(sort re im)

(abs re)

(abs im)

Compiler

Compiled 168 to 140 computations (16.7% 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	34	148
0	56	143
1	69	143
2	82	143
3	92	143
4	101	143
5	112	143
6	127	143
7	178	143
8	233	143
9	263	143
10	268	143
11	276	143
12	282	143
13	285	143
14	291	143
15	291	143
0	291	142

Iter	Nodes	Cost
0	36	242
0	59	206
1	78	202
2	106	200
3	139	198
4	181	196
5	266	196
6	343	196
7	382	196
8	392	196
9	417	196
10	423	196
11	429	196
12	438	196
0	438	196

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	34	148
0	56	143
1	69	143
2	82	143
3	92	143
4	101	143
5	112	143
6	127	143
7	178	143
8	233	143
9	263	143
10	268	143
11	276	143
12	282	143
13	285	143
14	291	143
15	291	143
0	291	142

Iter	Nodes	Cost
0	36	242
0	59	206
1	78	202
2	106	200
3	139	198
4	181	196
5	266	196
6	343	196
7	382	196
8	392	196
9	417	196
10	423	196
11	429	196
12	438	196
0	438	196

start0.0ms (0%)

analyze58.0ms (1%)

sample1000.0ms (17.6%)

explain161.0ms (2.8%)

preprocess42.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize34.0ms (0.6%)

series21.0ms (0.4%)

simplify166.0ms (2.9%)

rewrite176.0ms (3.1%)

eval65.0ms (1.1%)

prune19.0ms (0.3%)

simplify13.0ms (0.2%)

localize85.0ms (1.5%)

series132.0ms (2.3%)

simplify229.0ms (4%)

rewrite167.0ms (2.9%)

eval309.0ms (5.4%)

prune43.0ms (0.8%)

simplify18.0ms (0.3%)

localize108.0ms (1.9%)

series91.0ms (1.6%)

simplify235.0ms (4.1%)

rewrite207.0ms (3.6%)

eval353.0ms (6.2%)

prune51.0ms (0.9%)

simplify224.0ms (3.9%)

localize144.0ms (2.5%)

series190.0ms (3.3%)

simplify222.0ms (3.9%)

rewrite169.0ms (3%)

eval188.0ms (3.3%)

prune39.0ms (0.7%)

regimes125.0ms (2.2%)

regimes51.0ms (0.9%)

regimes42.0ms (0.7%)

simplify23.0ms (0.4%)

soundness450.0ms (7.9%)

preprocess36.0ms (0.6%)

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	34	148
0	56	143
1	69	143
2	82	143
3	92	143
4	101	143
5	112	143
6	127	143
7	178	143
8	233	143
9	263	143
10	268	143
11	276	143
12	282	143
13	285	143
14	291	143
15	291	143
0	291	142

Iter	Nodes	Cost
0	36	242
0	59	206
1	78	202
2	106	200
3	139	198
4	181	196
5	266	196
6	343	196
7	382	196
8	392	196
9	417	196
10	423	196
11	429	196
12	438	196
0	438	196