Metrics for math.log10 on complex, real part

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze79.0ms (0.8%)

Memory

-37.1MiB live, 100.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample1.1s (11.2%)

Memory

30.9MiB live, 1 483.8MiB allocated

Samples

811.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 624.0ms

ival-hypot: 265.0ms (42.5% of total)

ival-log: 211.0ms (33.8% of total)

ival-div: 135.0ms (21.6% of total)

ival-true: 6.0ms (1% of total)

exact: 5.0ms (0.8% of total)

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

Bogosity

explain166.0ms (1.7%)

Memory

38.3MiB live, 268.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
120	-	4	(2.6511099187034026e-158 -4.4062088067416114e-201)	`(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	105	0
↳	`(+.f64 (.f64 re re) (.f64 im im))`	overflow	105
↳	`(*.f64 re re)`	overflow	65
↳	`(*.f64 im im)`	overflow	57
`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	58
↳	`(*.f64 im im)`	underflow	64

Confusion

	Predicted +	Predicted -
+	116	4
-	0	136

Precision

1.0

Recall

0.9666666666666667

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	116	0	4
-	0	0	136

Precision?

1.0

Recall?

0.9666666666666667

Freqs

test

number	freq
0	140
1	116

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

93.0ms

512×

valid

Compiler

Compiled 112 to 34 computations (69.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-log: 54.0ms (70.1% of total)

ival-mult: 9.0ms (11.7% of total)

ival-hypot: 8.0ms (10.4% of total)

ival-div: 3.0ms (3.9% of total)

ival-add: 2.0ms (2.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess22.0ms (0.2%)

Memory

-2.8MiB live, 42.2MiB 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 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 #s(literal 10 binary64)))

Symmetry

(abs im)

(abs re)

(sort re im)

Compiler

Compiled 14 to 10 computations (28.6% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.1%	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify6.0ms (0.1%)

Memory

-28.5MiB live, 10.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

localize38.0ms (0.4%)

Memory

-2.1MiB live, 73.8MiB 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	0.5931625976844203	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))
accuracy	27.496351751379663	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Samples

26.0ms

256×

valid

Compiler

Compiled 49 to 12 computations (75.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-log: 6.0ms (37.3% of total)

ival-hypot: 4.0ms (24.9% of total)

ival-mult: 3.0ms (18.7% of total)

ival-div: 2.0ms (12.4% of total)

ival-add: 1.0ms (6.2% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.1%)

Memory

21.4MiB live, 21.4MiB allocated

Counts

5 → 96

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 (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 (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 (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 (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 (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 (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 (/ (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 (* -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)) (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 (/ (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 (* -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)) (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>) () ())) ())
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#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 (* -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 (* -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 (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 (* -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 (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 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 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 (* -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 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 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 (* -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

24 calls:

Time	Variable		Point	Expression
2.0ms	re	@	0	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
2.0ms	im	@	inf	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
1.0ms	re	@	inf	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
1.0ms	im	@	0	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
0.0ms	re	@	inf	(log (sqrt (+ (* re re) (* im im))))

simplify393.0ms (4.1%)

Memory

-12.6MiB live, 584.7MiB 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	1640
1	730	1596
2	2198	1594
3	5817	1582
0	8414	1470

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 92

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

rewrite409.0ms (4.3%)

Memory

-16.6MiB live, 488.7MiB 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	38
0	17	38
1	44	38
2	251	38
3	2046	38
0	8387	22

Stop Event

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

Counts

5 → 311

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

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

eval86.0ms (0.9%)

Memory: -4.5MiB live, 109.1MiB allocated
Compiler: Compiled 16 481 to 1 712 computations (89.6% saved)

prune102.0ms (1.1%)

Memory

10.8MiB live, 142.9MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	390	13	403
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	391	13	404

Accuracy

99.5%

Counts

404 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.3%	(pow.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
▶	33.8%	(pow.f64 (.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re))))) (/.f64 (log.f64 #s(literal 10 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re)))))) #s(literal -1/2 binary64))
	53.6%	(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/4 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/4 binary64)) (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/4 binary64)) (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/4 binary64))) (.f64 (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/4 binary64)) (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/4 binary64)))))) (log.f64 #s(literal 10 binary64)))
▶	54.9%	(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal 2 binary64) (log.f64 (fma.f64 im im (*.f64 re re)))))
	55.1%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))))) (.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1 binary64))) (.f64 (log.f64 #s(literal 1/10 binary64)) (/.f64 (log.f64 #s(literal 10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re)))))))
	55.1%	(/.f64 (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
	55.0%	(/.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))) (log.f64 #s(literal 1/10 binary64)))
▶	99.1%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
▶	98.9%	(/.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 re (*.f64 re (/.f64 #s(literal 1/2 binary64) im)) im))) (log.f64 #s(literal 10 binary64)))
	94.4%	(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 re (/.f64 (.f64 re #s(literal 1/2 binary64)) (.f64 im im)) (log.f64 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)))
	55.1%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re))))))
	18.9%	(-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re (.f64 re (.f64 re (.f64 re (.f64 re re)))) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im)))))) (log.f64 #s(literal 10 binary64))) (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re (.f64 re (.f64 re re)) (.f64 (.f64 im im) (.f64 (+.f64 re im) (-.f64 im re)))))) (log.f64 #s(literal 10 binary64))))

Compiler

Compiled 670 to 330 computations (50.7% saved)

simplify28.0ms (0.3%)

Memory

-3.7MiB live, 31.6MiB 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)) (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))))
cost-diff	0	(pow.f64 (.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re))))) (/.f64 (log.f64 #s(literal 10 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re)))))) #s(literal -1/2 binary64))
cost-diff	704	(.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re))))) (/.f64 (log.f64 #s(literal 10 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re))))))
cost-diff	0	(/.f64 #s(literal 2 binary64) (log.f64 (fma.f64 im im (*.f64 re re))))
cost-diff	0	(log.f64 #s(literal 1/10 binary64))
cost-diff	0	(/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64)))
cost-diff	1088	(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal 2 binary64) (log.f64 (fma.f64 im im (*.f64 re re)))))
cost-diff	0	(fma.f64 re (*.f64 re (/.f64 #s(literal 1/2 binary64) im)) im)
cost-diff	0	#s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 re (*.f64 re (/.f64 #s(literal 1/2 binary64) im)) im))
cost-diff	0	(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 re (*.f64 re (/.f64 #s(literal 1/2 binary64) im)) im)))
cost-diff	0	(/.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 re (*.f64 re (/.f64 #s(literal 1/2 binary64) im)) im))) (log.f64 #s(literal 10 binary64)))
cost-diff	0	(log.f64 #s(literal 10 binary64))
cost-diff	0	(log.f64 im)
cost-diff	0	#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
cost-diff	0	(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
cost-diff	0	(log.f64 #s(literal 10 binary64))
cost-diff	0	(log.f64 (hypot.f64 re im))
cost-diff	0	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
cost-diff	5120	(hypot.f64 re im)

Rules

216×	`lower-*.f32`
208×	`lower-*.f64`
192×	`lower-/.f32`
176×	`lower-/.f64`
120×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	251
0	62	251
1	80	251
2	122	245
3	192	245
4	263	245
5	312	245
6	333	245
7	351	245
8	367	245
9	391	245
10	443	245
11	474	245
12	488	245
13	498	245
14	499	245
0	499	245

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

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

localize121.0ms (1.3%)

Memory

25.5MiB live, 257.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.109375	(pow.f64 (.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re))))) (/.f64 (log.f64 #s(literal 10 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re)))))) #s(literal -1/2 binary64))
accuracy	0.5514450195368841	(.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re))))) (/.f64 (log.f64 #s(literal 10 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re))))))
accuracy	0.5612488281475362	(/.f64 (log.f64 #s(literal 10 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))))
accuracy	28.441213296032302	(log.f64 (fma.f64 im im (*.f64 re re)))
accuracy	0.3125	(/.f64 #s(literal 2 binary64) (log.f64 (fma.f64 im im (*.f64 re re))))
accuracy	1.0	(/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64)))
accuracy	1.0	(log.f64 #s(literal 1/10 binary64))
accuracy	28.441213296032302	(log.f64 (fma.f64 im im (*.f64 re re)))
accuracy	0	(log.f64 #s(literal 10 binary64))
accuracy	0.15933992269293196	#s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 re (*.f64 re (/.f64 #s(literal 1/2 binary64) im)) im))
accuracy	0.203125	(*.f64 re (/.f64 #s(literal 1/2 binary64) im))
accuracy	0.5931625976844203	(/.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 re (*.f64 re (/.f64 #s(literal 1/2 binary64) im)) im))) (log.f64 #s(literal 10 binary64)))
accuracy	0	(log.f64 im)
accuracy	0	(log.f64 #s(literal 10 binary64))
accuracy	0.37557890991842613	#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
accuracy	0.5931625976844203	(/.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	0.5931625976844203	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))

Samples

78.0ms

256×

valid

Compiler

Compiled 273 to 31 computations (88.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-log: 15.0ms (28% of total)

ival-div: 10.0ms (18.7% of total)

ival-mult: 9.0ms (16.8% of total)

ival-hypot: 7.0ms (13.1% of total)

const: 5.0ms (9.3% of total)

ival-pow: 5.0ms (9.3% of total)

ival-add: 3.0ms (5.6% of total)

exact: 1.0ms (1.9% of total)

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

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

series155.0ms (1.6%)

Memory

3.7MiB live, 199.0MiB allocated

Counts

20 → 396

Calls

Call 1

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

Outputs
#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 re (taylor inf re) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))) (taylor inf re) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re 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 (hypot.f64 re im) (patch (hypot.f64 re 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 (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt (* -1 re) (taylor -inf re) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))) (taylor -inf re) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re 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 (hypot.f64 re im) (patch (hypot.f64 re 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 (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt re (taylor 0 im) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt (+ re (* 1/2 (/ (pow im 2) re))) (taylor 0 im) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re 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 (hypot.f64 re im) (patch (hypot.f64 re 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 (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt im (taylor inf im) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))) (taylor inf im) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re 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 (hypot.f64 re im) (patch (hypot.f64 re 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 (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt (* -1 im) (taylor -inf im) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))) (taylor -inf im) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re 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 (hypot.f64 re im) (patch (hypot.f64 re 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 (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#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 (* -1 (/ (log (/ 1 re)) (log 10))) (taylor inf 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 (/ (log (/ 1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))) (taylor inf 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 (/ (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 (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 (/ (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 (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 (/ (log (/ -1 re)) (log 10))) (taylor -inf 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 (/ (log (/ -1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))) (taylor -inf 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 (/ (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 (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 (/ (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 (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 re) (log 10)) (taylor 0 im) (#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 im 2) (* (pow re 2) (log 10)))) (/ (log re) (log 10))) (taylor 0 im) (#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 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 (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 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 (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 (/ (log (/ 1 im)) (log 10))) (taylor inf im) (#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 (/ (log (/ 1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))) (taylor inf im) (#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 (/ (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 (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 (/ (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 (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 (/ (log (/ -1 im)) (log 10))) (taylor -inf im) (#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>) () ())) ())
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#s(alt (+ (* 2 (/ (log 10) (log (pow im 2)))) (* (pow re 2) (+ (* -2 (/ (log 10) (* (pow im 2) (pow (log (pow im 2)) 2)))) (* (pow re 2) (+ (* -2 (* (pow re 2) (+ (* -1 (/ (+ (* -1 (/ (log 10) (* (pow im 4) (pow (log (pow im 2)) 3)))) (* -1/2 (/ (log 10) (* (pow im 4) (pow (log (pow im 2)) 2))))) (* (pow im 2) (log (pow im 2))))) (+ (* 1/3 (/ (log 10) (* (pow im 6) (pow (log (pow im 2)) 2)))) (* 1/2 (/ (log 10) (* (pow im 6) (pow (log (pow im 2)) 3)))))))) (* -2 (+ (* -1 (/ (log 10) (* (pow im 4) (pow (log (pow im 2)) 3)))) (* -1/2 (/ (log 10) (* (pow im 4) (pow (log (pow im 2)) 2))))))))))) (taylor 0 re) (#s(alt (/.f64 (log.f64 #s(literal 10 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re))))) (patch (/.f64 (log.f64 #s(literal 10 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log 10) (log (/ 1 re)))) (taylor inf re) (#s(alt (/.f64 (log.f64 #s(literal 10 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re))))) (patch (/.f64 (log.f64 #s(literal 10 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log 10) (log (/ 1 re)))) (* -1/2 (/ (* (pow im 2) (log 10)) (* (pow re 2) (pow (log (/ 1 re)) 2))))) (taylor inf re) (#s(alt (/.f64 (log.f64 #s(literal 10 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re))))) (patch (/.f64 (log.f64 #s(literal 10 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (/ (+ (* -1/8 (/ (* (pow im 4) (log 10)) (pow (log (/ 1 re)) 2))) (* 1/8 (/ (* (pow im 4) (log 10)) (pow (log (/ 1 re)) 3)))) (pow re 4))) (+ (* -1 (/ (log 10) (log (/ 1 re)))) (* -1/2 (/ (* (pow im 2) (log 10)) (* (pow re 2) (pow (log (/ 1 re)) 2)))))) (taylor inf re) (#s(alt (/.f64 (log.f64 #s(literal 10 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re))))) (patch (/.f64 (log.f64 #s(literal 10 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (/ (+ (* -1/8 (/ (* (pow im 4) (log 10)) (pow (log (/ 1 re)) 2))) (* 1/8 (/ (* (pow im 4) (log 10)) (pow (log (/ 1 re)) 3)))) (pow re 4))) (+ (* -2 (/ (+ (* -1/16 (/ (* (pow im 6) (log 10)) (pow (log (/ 1 re)) 3))) (+ (* 1/12 (/ (* (pow im 6) (log 10)) (pow (log (/ 1 re)) 2))) (* 1/2 (/ (* (pow im 2) (+ (* -1/8 (/ (* (pow im 4) (log 10)) (pow (log (/ 1 re)) 2))) (* 1/8 (/ (* (pow im 4) (log 10)) (pow (log (/ 1 re)) 3))))) (log (/ 1 re)))))) (pow re 6))) (+ (* -1 (/ (log 10) (log (/ 1 re)))) (* -1/2 (/ (* (pow im 2) (log 10)) (* (pow re 2) (pow (log (/ 1 re)) 2))))))) (taylor inf re) (#s(alt (/.f64 (log.f64 #s(literal 10 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re))))) (patch (/.f64 (log.f64 #s(literal 10 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log 10) (log (/ -1 re)))) (taylor -inf re) (#s(alt (/.f64 (log.f64 #s(literal 10 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re))))) (patch (/.f64 (log.f64 #s(literal 10 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log 10) (log (/ -1 re)))) (* -1/2 (/ (* (pow im 2) (log 10)) (* (pow re 2) (pow (log (/ -1 re)) 2))))) (taylor -inf re) (#s(alt (/.f64 (log.f64 #s(literal 10 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re))))) (patch (/.f64 (log.f64 #s(literal 10 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (/ (+ (* -1/8 (/ (* (pow im 4) (log 10)) (pow (log (/ -1 re)) 2))) (* 1/8 (/ (* (pow im 4) (log 10)) (pow (log (/ -1 re)) 3)))) (pow re 4))) (+ (* -1 (/ (log 10) (log (/ -1 re)))) (* -1/2 (/ (* (pow im 2) (log 10)) (* (pow re 2) (pow (log (/ -1 re)) 2)))))) (taylor -inf re) (#s(alt (/.f64 (log.f64 #s(literal 10 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re))))) (patch (/.f64 (log.f64 #s(literal 10 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (/ (+ (* -1/8 (/ (* (pow im 4) (log 10)) (pow (log (/ -1 re)) 2))) (* 1/8 (/ (* (pow im 4) (log 10)) (pow (log (/ -1 re)) 3)))) (pow re 4))) (+ (* -2 (/ (+ (* -1/16 (/ (* (pow im 6) (log 10)) (pow (log (/ -1 re)) 3))) (+ (* 1/12 (/ (* (pow im 6) (log 10)) (pow (log (/ -1 re)) 2))) (* 1/2 (/ (* (pow im 2) (+ (* -1/8 (/ (* (pow im 4) (log 10)) (pow (log (/ -1 re)) 2))) (* 1/8 (/ (* (pow im 4) (log 10)) (pow (log (/ -1 re)) 3))))) (log (/ -1 re)))))) (pow re 6))) (+ (* -1 (/ (log 10) (log (/ -1 re)))) (* -1/2 (/ (* (pow im 2) (log 10)) (* (pow re 2) (pow (log (/ -1 re)) 2))))))) (taylor -inf re) (#s(alt (/.f64 (log.f64 #s(literal 10 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re))))) (patch (/.f64 (log.f64 #s(literal 10 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ re im)) (taylor 0 re) (#s(alt (.f64 re (/.f64 #s(literal 1/2 binary64) im)) (patch (.f64 re (/.f64 #s(literal 1/2 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ re im)) (taylor 0 re) (#s(alt (.f64 re (/.f64 #s(literal 1/2 binary64) im)) (patch (.f64 re (/.f64 #s(literal 1/2 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ re im)) (taylor 0 re) (#s(alt (.f64 re (/.f64 #s(literal 1/2 binary64) im)) (patch (.f64 re (/.f64 #s(literal 1/2 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ re im)) (taylor 0 re) (#s(alt (.f64 re (/.f64 #s(literal 1/2 binary64) im)) (patch (.f64 re (/.f64 #s(literal 1/2 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ re im)) (taylor inf re) (#s(alt (.f64 re (/.f64 #s(literal 1/2 binary64) im)) (patch (.f64 re (/.f64 #s(literal 1/2 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ re im)) (taylor inf re) (#s(alt (.f64 re (/.f64 #s(literal 1/2 binary64) im)) (patch (.f64 re (/.f64 #s(literal 1/2 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ re im)) (taylor inf re) (#s(alt (.f64 re (/.f64 #s(literal 1/2 binary64) im)) (patch (.f64 re (/.f64 #s(literal 1/2 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ re im)) (taylor inf re) (#s(alt (.f64 re (/.f64 #s(literal 1/2 binary64) im)) (patch (.f64 re (/.f64 #s(literal 1/2 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ re im)) (taylor -inf re) (#s(alt (.f64 re (/.f64 #s(literal 1/2 binary64) im)) (patch (.f64 re (/.f64 #s(literal 1/2 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ re im)) (taylor -inf re) (#s(alt (.f64 re (/.f64 #s(literal 1/2 binary64) im)) (patch (.f64 re (/.f64 #s(literal 1/2 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ re im)) (taylor -inf re) (#s(alt (.f64 re (/.f64 #s(literal 1/2 binary64) im)) (patch (.f64 re (/.f64 #s(literal 1/2 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ re im)) (taylor -inf re) (#s(alt (.f64 re (/.f64 #s(literal 1/2 binary64) im)) (patch (.f64 re (/.f64 #s(literal 1/2 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ re im)) (taylor 0 im) (#s(alt (.f64 re (/.f64 #s(literal 1/2 binary64) im)) (patch (.f64 re (/.f64 #s(literal 1/2 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ re im)) (taylor 0 im) (#s(alt (.f64 re (/.f64 #s(literal 1/2 binary64) im)) (patch (.f64 re (/.f64 #s(literal 1/2 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ re im)) (taylor 0 im) (#s(alt (.f64 re (/.f64 #s(literal 1/2 binary64) im)) (patch (.f64 re (/.f64 #s(literal 1/2 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ re im)) (taylor 0 im) (#s(alt (.f64 re (/.f64 #s(literal 1/2 binary64) im)) (patch (.f64 re (/.f64 #s(literal 1/2 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ re im)) (taylor inf im) (#s(alt (.f64 re (/.f64 #s(literal 1/2 binary64) im)) (patch (.f64 re (/.f64 #s(literal 1/2 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ re im)) (taylor inf im) (#s(alt (.f64 re (/.f64 #s(literal 1/2 binary64) im)) (patch (.f64 re (/.f64 #s(literal 1/2 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ re im)) (taylor inf im) (#s(alt (.f64 re (/.f64 #s(literal 1/2 binary64) im)) (patch (.f64 re (/.f64 #s(literal 1/2 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ re im)) (taylor inf im) (#s(alt (.f64 re (/.f64 #s(literal 1/2 binary64) im)) (patch (.f64 re (/.f64 #s(literal 1/2 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ re im)) (taylor -inf im) (#s(alt (.f64 re (/.f64 #s(literal 1/2 binary64) im)) (patch (.f64 re (/.f64 #s(literal 1/2 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ re im)) (taylor -inf im) (#s(alt (.f64 re (/.f64 #s(literal 1/2 binary64) im)) (patch (.f64 re (/.f64 #s(literal 1/2 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ re im)) (taylor -inf im) (#s(alt (.f64 re (/.f64 #s(literal 1/2 binary64) im)) (patch (.f64 re (/.f64 #s(literal 1/2 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ re im)) (taylor -inf im) (#s(alt (.f64 re (/.f64 #s(literal 1/2 binary64) im)) (patch (.f64 re (/.f64 #s(literal 1/2 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (log (pow re 2)) (taylor 0 im) (#s(alt (log.f64 (fma.f64 im im (.f64 re re))) (patch (log.f64 (fma.f64 im im (.f64 re re))) #<representation binary64>) () ())) ())
#s(alt (+ (log (pow re 2)) (/ (pow im 2) (pow re 2))) (taylor 0 im) (#s(alt (log.f64 (fma.f64 im im (.f64 re re))) (patch (log.f64 (fma.f64 im im (.f64 re re))) #<representation binary64>) () ())) ())
#s(alt (+ (log (pow re 2)) (* (pow im 2) (+ (* -1/2 (/ (pow im 2) (pow re 4))) (/ 1 (pow re 2))))) (taylor 0 im) (#s(alt (log.f64 (fma.f64 im im (.f64 re re))) (patch (log.f64 (fma.f64 im im (.f64 re re))) #<representation binary64>) () ())) ())
#s(alt (+ (log (pow re 2)) (* (pow im 2) (+ (* (pow im 2) (- (* 1/3 (/ (pow im 2) (pow re 6))) (* 1/2 (/ 1 (pow re 4))))) (/ 1 (pow re 2))))) (taylor 0 im) (#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 (* -2 (log (/ 1 im))) (taylor inf im) (#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 (+ (* -2 (log (/ 1 im))) (/ (pow re 2) (pow im 2))) (taylor inf im) (#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 (+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2)))) (taylor inf im) (#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 (+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2))))) (taylor inf im) (#s(alt (log.f64 (fma.f64 im im (.f64 re re))) (patch (log.f64 (fma.f64 im im (.f64 re re))) #<representation binary64>) () ())) ())
#s(alt (* -2 (log (/ -1 im))) (taylor -inf im) (#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 (+ (* -2 (log (/ -1 im))) (/ (pow re 2) (pow im 2))) (taylor -inf im) (#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 (+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2)))) (taylor -inf im) (#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 (+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2))))) (taylor -inf im) (#s(alt (log.f64 (fma.f64 im im (.f64 re re))) (patch (log.f64 (fma.f64 im im (.f64 re re))) #<representation binary64>) () ())) ())
#s(alt (log (pow im 2)) (taylor 0 re) (#s(alt (log.f64 (fma.f64 im im (.f64 re re))) (patch (log.f64 (fma.f64 im im (.f64 re re))) #<representation binary64>) () ())) ())
#s(alt (+ (log (pow im 2)) (/ (pow re 2) (pow im 2))) (taylor 0 re) (#s(alt (log.f64 (fma.f64 im im (.f64 re re))) (patch (log.f64 (fma.f64 im im (.f64 re re))) #<representation binary64>) () ())) ())
#s(alt (+ (log (pow im 2)) (* (pow re 2) (+ (* -1/2 (/ (pow re 2) (pow im 4))) (/ 1 (pow im 2))))) (taylor 0 re) (#s(alt (log.f64 (fma.f64 im im (.f64 re re))) (patch (log.f64 (fma.f64 im im (.f64 re re))) #<representation binary64>) () ())) ())
#s(alt (+ (log (pow im 2)) (* (pow re 2) (+ (* (pow re 2) (- (* 1/3 (/ (pow re 2) (pow im 6))) (* 1/2 (/ 1 (pow im 4))))) (/ 1 (pow im 2))))) (taylor 0 re) (#s(alt (log.f64 (fma.f64 im im (.f64 re re))) (patch (log.f64 (fma.f64 im im (.f64 re re))) #<representation binary64>) () ())) ())
#s(alt (* -2 (log (/ 1 re))) (taylor inf re) (#s(alt (log.f64 (fma.f64 im im (.f64 re re))) (patch (log.f64 (fma.f64 im im (.f64 re re))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (log (/ 1 re))) (/ (pow im 2) (pow re 2))) (taylor inf re) (#s(alt (log.f64 (fma.f64 im im (.f64 re re))) (patch (log.f64 (fma.f64 im im (.f64 re re))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (log (/ 1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2)))) (taylor inf re) (#s(alt (log.f64 (fma.f64 im im (.f64 re re))) (patch (log.f64 (fma.f64 im im (.f64 re re))) #<representation binary64>) () ())) ())
#s(alt (+ (* -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))))) (taylor inf re) (#s(alt (log.f64 (fma.f64 im im (.f64 re re))) (patch (log.f64 (fma.f64 im im (.f64 re re))) #<representation binary64>) () ())) ())
#s(alt (* -2 (log (/ -1 re))) (taylor -inf re) (#s(alt (log.f64 (fma.f64 im im (.f64 re re))) (patch (log.f64 (fma.f64 im im (.f64 re re))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (log (/ -1 re))) (/ (pow im 2) (pow re 2))) (taylor -inf re) (#s(alt (log.f64 (fma.f64 im im (.f64 re re))) (patch (log.f64 (fma.f64 im im (.f64 re re))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (log (/ -1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2)))) (taylor -inf re) (#s(alt (log.f64 (fma.f64 im im (.f64 re re))) (patch (log.f64 (fma.f64 im im (.f64 re re))) #<representation binary64>) () ())) ())
#s(alt (+ (* -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))))) (taylor -inf re) (#s(alt (log.f64 (fma.f64 im im (.f64 re re))) (patch (log.f64 (fma.f64 im im (.f64 re re))) #<representation binary64>) () ())) ())

Calls

99 calls:

Time	Variable		Point	Expression
49.0ms	im	@	0	(log im)
21.0ms	re	@	-inf	(/ (log 10) (* 1/2 (log (+ (* im im) (* re re)))))
19.0ms	im	@	-inf	(log im)
6.0ms	im	@	inf	(log im)
5.0ms	re	@	-inf	(log (sqrt (+ (* re re) (* im im))))

simplify539.0ms (5.6%)

Memory

2.6MiB live, 940.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 950×	`lower-fma.f64`
9 950×	`lower-fma.f32`
7 618×	`lower-*.f64`
7 618×	`lower-*.f32`
5 650×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1084	10841
1	3254	10609
0	8444	10085

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 385

Calls

Call 1

Inputs
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)))))
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 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))))))))
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)))))
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 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))))))))
(/ (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 (/ 1 re)) (log 10)))
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))
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(+ (* -1 (/ (log 10) (log (/ -1 im)))) (* -1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ -1 im)) 2)))))
(+ (* -2 (/ (+ (* -1/8 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/8 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3)))) (pow im 4))) (+ (* -1 (/ (log 10) (log (/ -1 im)))) (* -1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ -1 im)) 2))))))
(+ (* -2 (/ (+ (* -1/8 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/8 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3)))) (pow im 4))) (+ (* -2 (/ (+ (* -1/16 (/ (* (pow re 6) (log 10)) (pow (log (/ -1 im)) 3))) (+ (* 1/12 (/ (* (pow re 6) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/8 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/8 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log (/ -1 im)))))) (pow im 6))) (+ (* -1 (/ (log 10) (log (/ -1 im)))) (* -1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ -1 im)) 2)))))))
(* 2 (/ (log 10) (log (pow im 2))))
(+ (* -2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (pow im 2)) 2)))) (* 2 (/ (log 10) (log (pow im 2)))))
(+ (* 2 (/ (log 10) (log (pow im 2)))) (* (pow re 2) (+ (* -2 (* (pow re 2) (+ (* -1 (/ (log 10) (* (pow im 4) (pow (log (pow im 2)) 3)))) (* -1/2 (/ (log 10) (* (pow im 4) (pow (log (pow im 2)) 2))))))) (* -2 (/ (log 10) (* (pow im 2) (pow (log (pow im 2)) 2)))))))
(+ (* 2 (/ (log 10) (log (pow im 2)))) (* (pow re 2) (+ (* -2 (/ (log 10) (* (pow im 2) (pow (log (pow im 2)) 2)))) (* (pow re 2) (+ (* -2 (* (pow re 2) (+ (* -1 (/ (+ (* -1 (/ (log 10) (* (pow im 4) (pow (log (pow im 2)) 3)))) (* -1/2 (/ (log 10) (* (pow im 4) (pow (log (pow im 2)) 2))))) (* (pow im 2) (log (pow im 2))))) (+ (* 1/3 (/ (log 10) (* (pow im 6) (pow (log (pow im 2)) 2)))) (* 1/2 (/ (log 10) (* (pow im 6) (pow (log (pow im 2)) 3)))))))) (* -2 (+ (* -1 (/ (log 10) (* (pow im 4) (pow (log (pow im 2)) 3)))) (* -1/2 (/ (log 10) (* (pow im 4) (pow (log (pow im 2)) 2)))))))))))
(* -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)))))
(+ (* -2 (/ (+ (* -1/8 (/ (* (pow im 4) (log 10)) (pow (log (/ 1 re)) 2))) (* 1/8 (/ (* (pow im 4) (log 10)) (pow (log (/ 1 re)) 3)))) (pow re 4))) (+ (* -1 (/ (log 10) (log (/ 1 re)))) (* -1/2 (/ (* (pow im 2) (log 10)) (* (pow re 2) (pow (log (/ 1 re)) 2))))))
(+ (* -2 (/ (+ (* -1/8 (/ (* (pow im 4) (log 10)) (pow (log (/ 1 re)) 2))) (* 1/8 (/ (* (pow im 4) (log 10)) (pow (log (/ 1 re)) 3)))) (pow re 4))) (+ (* -2 (/ (+ (* -1/16 (/ (* (pow im 6) (log 10)) (pow (log (/ 1 re)) 3))) (+ (* 1/12 (/ (* (pow im 6) (log 10)) (pow (log (/ 1 re)) 2))) (* 1/2 (/ (* (pow im 2) (+ (* -1/8 (/ (* (pow im 4) (log 10)) (pow (log (/ 1 re)) 2))) (* 1/8 (/ (* (pow im 4) (log 10)) (pow (log (/ 1 re)) 3))))) (log (/ 1 re)))))) (pow re 6))) (+ (* -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))))
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(+ (* -2 (/ (+ (* -1/8 (/ (* (pow im 4) (log 10)) (pow (log (/ -1 re)) 2))) (* 1/8 (/ (* (pow im 4) (log 10)) (pow (log (/ -1 re)) 3)))) (pow re 4))) (+ (* -1 (/ (log 10) (log (/ -1 re)))) (* -1/2 (/ (* (pow im 2) (log 10)) (* (pow re 2) (pow (log (/ -1 re)) 2))))))
(+ (* -2 (/ (+ (* -1/8 (/ (* (pow im 4) (log 10)) (pow (log (/ -1 re)) 2))) (* 1/8 (/ (* (pow im 4) (log 10)) (pow (log (/ -1 re)) 3)))) (pow re 4))) (+ (* -2 (/ (+ (* -1/16 (/ (* (pow im 6) (log 10)) (pow (log (/ -1 re)) 3))) (+ (* 1/12 (/ (* (pow im 6) (log 10)) (pow (log (/ -1 re)) 2))) (* 1/2 (/ (* (pow im 2) (+ (* -1/8 (/ (* (pow im 4) (log 10)) (pow (log (/ -1 re)) 2))) (* 1/8 (/ (* (pow im 4) (log 10)) (pow (log (/ -1 re)) 3))))) (log (/ -1 re)))))) (pow re 6))) (+ (* -1 (/ (log 10) (log (/ -1 re)))) (* -1/2 (/ (* (pow im 2) (log 10)) (* (pow re 2) (pow (log (/ -1 re)) 2)))))))
(* 1/2 (/ re im))
(* 1/2 (/ re im))
(* 1/2 (/ re im))
(* 1/2 (/ re im))
(* 1/2 (/ re im))
(* 1/2 (/ re im))
(* 1/2 (/ re im))
(* 1/2 (/ re im))
(* 1/2 (/ re im))
(* 1/2 (/ re im))
(* 1/2 (/ re im))
(* 1/2 (/ re im))
(* 1/2 (/ re im))
(* 1/2 (/ re im))
(* 1/2 (/ re im))
(* 1/2 (/ re im))
(* 1/2 (/ re im))
(* 1/2 (/ re im))
(* 1/2 (/ re im))
(* 1/2 (/ re im))
(* 1/2 (/ re im))
(* 1/2 (/ re im))
(* 1/2 (/ re im))
(* 1/2 (/ re im))
(log (pow re 2))
(+ (log (pow re 2)) (/ (pow im 2) (pow re 2)))
(+ (log (pow re 2)) (* (pow im 2) (+ (* -1/2 (/ (pow im 2) (pow re 4))) (/ 1 (pow re 2)))))
(+ (log (pow re 2)) (* (pow im 2) (+ (* (pow im 2) (- (* 1/3 (/ (pow im 2) (pow re 6))) (* 1/2 (/ 1 (pow re 4))))) (/ 1 (pow re 2)))))
(* -2 (log (/ 1 im)))
(+ (* -2 (log (/ 1 im))) (/ (pow re 2) (pow im 2)))
(+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))
(+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2)))))
(* -2 (log (/ -1 im)))
(+ (* -2 (log (/ -1 im))) (/ (pow re 2) (pow im 2)))
(+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))
(+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2)))))
(log (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)))))
(* -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)))))
(* -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)))))

Outputs
im
(+ im (* 1/2 (/ (pow re 2) im)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 re re) im) im)
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(+ 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)))))
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re
(* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))
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(* -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))))))))
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re
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(+ 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 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 im im) (pow.f64 re #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (.f64 re (*.f64 re re)))) (/.f64 #s(literal 1/2 binary64) re)) re)
im
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))
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(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
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(* -1 im)
(neg.f64 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))))))))
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(/ (log im) (log 10))
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(* -1 (/ (log (/ 1 re)) (log 10)))
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(fma.f64 #s(literal 2 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (.f64 im im))) (.f64 (.f64 re re) (fma.f64 (.f64 (.f64 re re) #s(literal -2 binary64)) (fma.f64 (.f64 re re) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (log.f64 (.f64 im im)) #s(literal 3 binary64)))) (/.f64 (.f64 #s(literal 1/3 binary64) (log.f64 #s(literal 10 binary64))) (.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (log.f64 (.f64 im im)) #s(literal 2 binary64))))) (/.f64 (-.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 10 binary64))) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (log.f64 (.f64 im im)) #s(literal 2 binary64)))) (/.f64 (log.f64 #s(literal 10 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (log.f64 (.f64 im im)) #s(literal 3 binary64))))) (.f64 (.f64 im im) (log.f64 (.f64 im im))))) (-.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 10 binary64))) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (log.f64 (.f64 im im)) #s(literal 2 binary64)))) (/.f64 (log.f64 #s(literal 10 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (log.f64 (.f64 im im)) #s(literal 3 binary64)))))) (/.f64 (.f64 #s(literal -2 binary64) (log.f64 #s(literal 10 binary64))) (.f64 (.f64 im im) (pow.f64 (log.f64 (.f64 im im)) #s(literal 2 binary64)))))))
(* -1 (/ (log 10) (log (/ 1 re))))
(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 re))
(+ (* -1 (/ (log 10) (log (/ 1 re)))) (* -1/2 (/ (* (pow im 2) (log 10)) (* (pow re 2) (pow (log (/ 1 re)) 2)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 im im) (log.f64 #s(literal 10 binary64))) (.f64 (.f64 re re) (pow.f64 (neg.f64 (log.f64 re)) #s(literal 2 binary64)))) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 re)))
(+ (* -2 (/ (+ (* -1/8 (/ (* (pow im 4) (log 10)) (pow (log (/ 1 re)) 2))) (* 1/8 (/ (* (pow im 4) (log 10)) (pow (log (/ 1 re)) 3)))) (pow re 4))) (+ (* -1 (/ (log 10) (log (/ 1 re)))) (* -1/2 (/ (* (pow im 2) (log 10)) (* (pow re 2) (pow (log (/ 1 re)) 2))))))
(fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (neg.f64 (log.f64 re)) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 im #s(literal 4 binary64))) (log.f64 #s(literal 10 binary64))) (neg.f64 (pow.f64 (log.f64 re) #s(literal 3 binary64))))) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 im im) (log.f64 #s(literal 10 binary64))) (.f64 (*.f64 re re) (pow.f64 (neg.f64 (log.f64 re)) #s(literal 2 binary64)))) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 re))))
(+ (* -2 (/ (+ (* -1/8 (/ (* (pow im 4) (log 10)) (pow (log (/ 1 re)) 2))) (* 1/8 (/ (* (pow im 4) (log 10)) (pow (log (/ 1 re)) 3)))) (pow re 4))) (+ (* -2 (/ (+ (* -1/16 (/ (* (pow im 6) (log 10)) (pow (log (/ 1 re)) 3))) (+ (* 1/12 (/ (* (pow im 6) (log 10)) (pow (log (/ 1 re)) 2))) (* 1/2 (/ (* (pow im 2) (+ (* -1/8 (/ (* (pow im 4) (log 10)) (pow (log (/ 1 re)) 2))) (* 1/8 (/ (* (pow im 4) (log 10)) (pow (log (/ 1 re)) 3))))) (log (/ 1 re)))))) (pow re 6))) (+ (* -1 (/ (log 10) (log (/ 1 re)))) (* -1/2 (/ (* (pow im 2) (log 10)) (* (pow re 2) (pow (log (/ 1 re)) 2)))))))
(fma.f64 #s(literal -2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (neg.f64 (log.f64 re)) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 im #s(literal 4 binary64))) (log.f64 #s(literal 10 binary64))) (neg.f64 (pow.f64 (log.f64 re) #s(literal 3 binary64))))) (pow.f64 re #s(literal 4 binary64))) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (neg.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (neg.f64 (log.f64 re)) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 im #s(literal 4 binary64))) (log.f64 #s(literal 10 binary64))) (neg.f64 (pow.f64 (log.f64 re) #s(literal 3 binary64))))) (log.f64 re))) (fma.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 6 binary64))) (/.f64 (log.f64 #s(literal 10 binary64)) (pow.f64 (neg.f64 (log.f64 re)) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 im #s(literal 6 binary64))) (log.f64 #s(literal 10 binary64))) (neg.f64 (pow.f64 (log.f64 re) #s(literal 3 binary64)))))) (pow.f64 re #s(literal 6 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 im im) (log.f64 #s(literal 10 binary64))) (.f64 (*.f64 re re) (pow.f64 (neg.f64 (log.f64 re)) #s(literal 2 binary64)))) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 re))))
(* -1 (/ (log 10) (log (/ -1 re))))
(/.f64 (neg.f64 (log.f64 #s(literal 10 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) re)))
(+ (* -1 (/ (log 10) (log (/ -1 re)))) (* -1/2 (/ (* (pow im 2) (log 10)) (* (pow re 2) (pow (log (/ -1 re)) 2)))))
(-.f64 (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 im im)) (log.f64 #s(literal 10 binary64))) (.f64 (*.f64 re re) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 2 binary64)))) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) re))))
(+ (* -2 (/ (+ (* -1/8 (/ (* (pow im 4) (log 10)) (pow (log (/ -1 re)) 2))) (* 1/8 (/ (* (pow im 4) (log 10)) (pow (log (/ -1 re)) 3)))) (pow re 4))) (+ (* -1 (/ (log 10) (log (/ -1 re)))) (* -1/2 (/ (* (pow im 2) (log 10)) (* (pow re 2) (pow (log (/ -1 re)) 2))))))
(fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 im #s(literal 4 binary64))) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 3 binary64)))) (pow.f64 re #s(literal 4 binary64))) (-.f64 (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 im im)) (log.f64 #s(literal 10 binary64))) (.f64 (.f64 re re) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 2 binary64)))) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) re)))))
(+ (* -2 (/ (+ (* -1/8 (/ (* (pow im 4) (log 10)) (pow (log (/ -1 re)) 2))) (* 1/8 (/ (* (pow im 4) (log 10)) (pow (log (/ -1 re)) 3)))) (pow re 4))) (+ (* -2 (/ (+ (* -1/16 (/ (* (pow im 6) (log 10)) (pow (log (/ -1 re)) 3))) (+ (* 1/12 (/ (* (pow im 6) (log 10)) (pow (log (/ -1 re)) 2))) (* 1/2 (/ (* (pow im 2) (+ (* -1/8 (/ (* (pow im 4) (log 10)) (pow (log (/ -1 re)) 2))) (* 1/8 (/ (* (pow im 4) (log 10)) (pow (log (/ -1 re)) 3))))) (log (/ -1 re)))))) (pow re 6))) (+ (* -1 (/ (log 10) (log (/ -1 re)))) (* -1/2 (/ (* (pow im 2) (log 10)) (* (pow re 2) (pow (log (/ -1 re)) 2)))))))
(fma.f64 #s(literal -2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 im #s(literal 4 binary64))) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 3 binary64)))) (pow.f64 re #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 im im) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 im #s(literal 4 binary64))) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 3 binary64))))) (log.f64 (/.f64 #s(literal -1 binary64) re))) (fma.f64 #s(literal 1/12 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 im #s(literal 6 binary64))) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 3 binary64))))) (pow.f64 re #s(literal 6 binary64)))) (-.f64 (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 im im)) (log.f64 #s(literal 10 binary64))) (.f64 (.f64 re re) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 2 binary64)))) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) re)))))
(* 1/2 (/ re im))
(*.f64 #s(literal 1/2 binary64) (/.f64 re im))
(* 1/2 (/ re im))
(*.f64 #s(literal 1/2 binary64) (/.f64 re im))
(* 1/2 (/ re im))
(*.f64 #s(literal 1/2 binary64) (/.f64 re im))
(* 1/2 (/ re im))
(*.f64 #s(literal 1/2 binary64) (/.f64 re im))
(* 1/2 (/ re im))
(*.f64 #s(literal 1/2 binary64) (/.f64 re im))
(* 1/2 (/ re im))
(*.f64 #s(literal 1/2 binary64) (/.f64 re im))
(* 1/2 (/ re im))
(*.f64 #s(literal 1/2 binary64) (/.f64 re im))
(* 1/2 (/ re im))
(*.f64 #s(literal 1/2 binary64) (/.f64 re im))
(* 1/2 (/ re im))
(*.f64 #s(literal 1/2 binary64) (/.f64 re im))
(* 1/2 (/ re im))
(*.f64 #s(literal 1/2 binary64) (/.f64 re im))
(* 1/2 (/ re im))
(*.f64 #s(literal 1/2 binary64) (/.f64 re im))
(* 1/2 (/ re im))
(*.f64 #s(literal 1/2 binary64) (/.f64 re im))
(* 1/2 (/ re im))
(*.f64 #s(literal 1/2 binary64) (/.f64 re im))
(* 1/2 (/ re im))
(*.f64 #s(literal 1/2 binary64) (/.f64 re im))
(* 1/2 (/ re im))
(*.f64 #s(literal 1/2 binary64) (/.f64 re im))
(* 1/2 (/ re im))
(*.f64 #s(literal 1/2 binary64) (/.f64 re im))
(* 1/2 (/ re im))
(*.f64 #s(literal 1/2 binary64) (/.f64 re im))
(* 1/2 (/ re im))
(*.f64 #s(literal 1/2 binary64) (/.f64 re im))
(* 1/2 (/ re im))
(*.f64 #s(literal 1/2 binary64) (/.f64 re im))
(* 1/2 (/ re im))
(*.f64 #s(literal 1/2 binary64) (/.f64 re im))
(* 1/2 (/ re im))
(*.f64 #s(literal 1/2 binary64) (/.f64 re im))
(* 1/2 (/ re im))
(*.f64 #s(literal 1/2 binary64) (/.f64 re im))
(* 1/2 (/ re im))
(*.f64 #s(literal 1/2 binary64) (/.f64 re im))
(* 1/2 (/ re im))
(*.f64 #s(literal 1/2 binary64) (/.f64 re im))
(log (pow re 2))
(log.f64 (*.f64 re re))
(+ (log (pow re 2)) (/ (pow im 2) (pow re 2)))
(+.f64 (/.f64 (.f64 im im) (.f64 re re)) (log.f64 (*.f64 re re)))
(+ (log (pow re 2)) (* (pow im 2) (+ (* -1/2 (/ (pow im 2) (pow re 4))) (/ 1 (pow re 2)))))
(fma.f64 (.f64 im im) (fma.f64 (/.f64 (.f64 im im) (pow.f64 re #s(literal 4 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 re re))) (log.f64 (.f64 re re)))
(+ (log (pow re 2)) (* (pow im 2) (+ (* (pow im 2) (- (* 1/3 (/ (pow im 2) (pow re 6))) (* 1/2 (/ 1 (pow re 4))))) (/ 1 (pow re 2)))))
(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (/.f64 (.f64 im im) (pow.f64 re #s(literal 6 binary64))) #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 re re))) (log.f64 (*.f64 re re)))
(* -2 (log (/ 1 im)))
(neg.f64 (*.f64 (log.f64 im) #s(literal -2 binary64)))
(+ (* -2 (log (/ 1 im))) (/ (pow re 2) (pow im 2)))
(fma.f64 (neg.f64 (log.f64 im)) #s(literal -2 binary64) (/.f64 (.f64 re re) (.f64 im im)))
(+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (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 -1/2 binary64) (fma.f64 (neg.f64 (log.f64 im)) #s(literal -2 binary64) (/.f64 (.f64 re re) (.f64 im im))))
(+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2)))))
(fma.f64 (neg.f64 (log.f64 im)) #s(literal -2 binary64) (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/3 binary64) (/.f64 (.f64 re re) (.f64 im im)))))
(* -2 (log (/ -1 im)))
(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -2 binary64))
(+ (* -2 (log (/ -1 im))) (/ (pow re 2) (pow im 2)))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -2 binary64) (/.f64 (.f64 re re) (.f64 im im)))
(+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (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 -1/2 binary64) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -2 binary64) (/.f64 (.f64 re re) (.f64 im im))))
(+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2)))))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -2 binary64) (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/3 binary64) (/.f64 (.f64 re re) (.f64 im im)))))
(log (pow im 2))
(log.f64 (*.f64 im im))
(+ (log (pow im 2)) (/ (pow re 2) (pow im 2)))
(+.f64 (/.f64 (.f64 re re) (.f64 im im)) (log.f64 (*.f64 im im)))
(+ (log (pow im 2)) (* (pow re 2) (+ (* -1/2 (/ (pow re 2) (pow im 4))) (/ 1 (pow im 2)))))
(fma.f64 (.f64 re re) (fma.f64 (/.f64 (.f64 re re) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 im im))) (log.f64 (.f64 im im)))
(+ (log (pow im 2)) (* (pow re 2) (+ (* (pow re 2) (- (* 1/3 (/ (pow re 2) (pow im 6))) (* 1/2 (/ 1 (pow im 4))))) (/ 1 (pow im 2)))))
(fma.f64 (.f64 re re) (fma.f64 (.f64 re re) (fma.f64 (/.f64 (.f64 re re) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 im im))) (log.f64 (*.f64 im im)))
(* -2 (log (/ 1 re)))
(neg.f64 (*.f64 (log.f64 re) #s(literal -2 binary64)))
(+ (* -2 (log (/ 1 re))) (/ (pow im 2) (pow re 2)))
(fma.f64 (neg.f64 (log.f64 re)) #s(literal -2 binary64) (/.f64 (.f64 im im) (.f64 re re)))
(+ (* -2 (log (/ 1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2))))
(fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal -1/2 binary64) (fma.f64 (neg.f64 (log.f64 re)) #s(literal -2 binary64) (/.f64 (.f64 im im) (.f64 re re))))
(+ (* -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)))))
(fma.f64 (neg.f64 (log.f64 re)) #s(literal -2 binary64) (fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) #s(literal 1/3 binary64) (/.f64 (.f64 im im) (.f64 re re)))))
(* -2 (log (/ -1 re)))
(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal -2 binary64))
(+ (* -2 (log (/ -1 re))) (/ (pow im 2) (pow re 2)))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal -2 binary64) (/.f64 (.f64 im im) (.f64 re re)))
(+ (* -2 (log (/ -1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2))))
(fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal -1/2 binary64) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal -2 binary64) (/.f64 (.f64 im im) (.f64 re re))))
(+ (* -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)))))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal -2 binary64) (fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) #s(literal 1/3 binary64) (/.f64 (.f64 im im) (.f64 re re)))))

rewrite369.0ms (3.9%)

Memory

-11.2MiB live, 567.5MiB allocated

Rules

5 798×	`lower-fma.f32`
5 794×	`lower-fma.f64`
5 388×	`lower-*.f32`
5 380×	`lower-*.f64`
3 342×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	189
0	62	151
1	182	138
2	1083	138
0	8497	138

Stop Event

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

Counts

20 → 950

Calls

Call 1

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

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

eval293.0ms (3.1%)

Memory: 24.6MiB live, 513.0MiB allocated
Compiler: Compiled 46 610 to 3 978 computations (91.5% saved)

prune242.0ms (2.5%)

Memory

6.9MiB live, 423.6MiB allocated

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	1 608	15	1 623
Fresh	7	1	8
Picked	2	3	5
Done	0	0	0
Total	1 617	19	1 636

Accuracy

100.0%

Counts

1 636 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.8%	(pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im))))) #s(literal 2 binary64)) #s(literal -1/2 binary64))
	33.7%	(pow.f64 (.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (fma.f64 re re (.f64 im im)))) #s(literal 2 binary64))) #s(literal -1/2 binary64))
	33.9%	(pow.f64 (neg.f64 (.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 (log.f64 #s(literal 10 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) #s(literal -2 binary64))))) #s(literal -1/2 binary64))
	55.1%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))) (log.f64 #s(literal 10 binary64)))
▶	33.2%	(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) (exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))) #s(literal -1 binary64))))
▶	98.4%	(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) #s(approx (/ 2 (log (+ (* im im) (* re re)))) (/.f64 #s(literal 1 binary64) (log.f64 im))))
	55.2%	(/.f64 (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))))
	55.1%	(/.f64 (.f64 (log.f64 (fma.f64 re re (.f64 im im))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
▶	98.4%	(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))
✓	99.1%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
▶	98.8%	(/.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 re (*.f64 re (/.f64 #s(literal 1/2 binary64) im)) im))) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
✓	98.9%	(/.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 re (*.f64 re (/.f64 #s(literal 1/2 binary64) im)) im))) (log.f64 #s(literal 10 binary64)))
	94.4%	(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 re (/.f64 (.f64 re #s(literal 1/2 binary64)) (.f64 im im)) (log.f64 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)))
	55.1%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im))))))
	98.6%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
	98.4%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
▶	55.0%	(.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (fma.f64 re re (.f64 im im)))) #s(literal -1 binary64)))
	71.8%	(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 526 to 393 computations (25.3% saved)

simplify96.0ms (1%)

Memory

-26.6MiB live, 90.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64)))
cost-diff	192	(.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))) #s(literal -1 binary64))
cost-diff	1088	(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) (exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))) #s(literal -1 binary64))))
cost-diff	12544	(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))) #s(literal -1 binary64)))
cost-diff	0	(log.f64 #s(literal 1/10 binary64))
cost-diff	0	(/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (fma.f64 re re (*.f64 im im))))
cost-diff	0	(.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (fma.f64 re re (.f64 im im)))) #s(literal -1 binary64)))
cost-diff	6464	(pow.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal -1 binary64))
cost-diff	0	#s(approx (/ 2 (log (+ (* im im) (* re re)))) (/.f64 #s(literal 1 binary64) (log.f64 im)))
cost-diff	0	(log.f64 #s(literal 1/10 binary64))
cost-diff	0	(/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64)))
cost-diff	384	(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) #s(approx (/ 2 (log (+ (* im im) (* re re)))) (/.f64 #s(literal 1 binary64) (log.f64 im))))
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	(fma.f64 re (*.f64 re (/.f64 #s(literal 1/2 binary64) im)) im)
cost-diff	0	#s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 re (*.f64 re (/.f64 #s(literal 1/2 binary64) im)) im))
cost-diff	0	(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 re (*.f64 re (/.f64 #s(literal 1/2 binary64) im)) im)))
cost-diff	0	(/.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 re (*.f64 re (/.f64 #s(literal 1/2 binary64) im)) im))) (neg.f64 (log.f64 #s(literal 1/10 binary64))))

Rules

492×	`lower-*.f32`
482×	`lower-*.f64`
468×	`lower-fma.f32`
464×	`lower-fma.f64`
330×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	322
0	68	312
1	96	307
2	136	307
3	177	305
4	250	305
5	468	305
6	664	305
7	905	305
8	1109	305
9	1275	304
10	1358	304
11	1419	304
12	1474	304
13	1513	304
14	1523	304
15	1525	304
0	1525	280

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize202.0ms (2.1%)

Memory

-5.7MiB live, 318.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.734375	(/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64)))
accuracy	0.734375	(log.f64 #s(literal 1/10 binary64))
accuracy	0.796459411431599	(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))) #s(literal -1 binary64)))
accuracy	25.423879191842175	(log.f64 (fma.f64 re re (*.f64 im im)))
accuracy	0.16015625	(pow.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal -1 binary64))
accuracy	0.4206238281475361	(/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (fma.f64 re re (*.f64 im im))))
accuracy	0.734375	(log.f64 #s(literal 1/10 binary64))
accuracy	25.423879191842175	(log.f64 (fma.f64 re re (*.f64 im im)))
accuracy	0.2265625	(/.f64 #s(literal 1 binary64) (log.f64 im))
accuracy	0.23239760514978638	#s(approx (/ 2 (log (+ (* im im) (* re re)))) (/.f64 #s(literal 1 binary64) (log.f64 im)))
accuracy	0.734375	(/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64)))
accuracy	0.734375	(log.f64 #s(literal 1/10 binary64))
accuracy	0	(log.f64 im)
accuracy	0.24376920161664928	#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
accuracy	0.41148378907376804	(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))
accuracy	0.734375	(log.f64 #s(literal 1/10 binary64))
accuracy	0.0738588810266434	#s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 re (*.f64 re (/.f64 #s(literal 1/2 binary64) im)) im))
accuracy	0.109375	(*.f64 re (/.f64 #s(literal 1/2 binary64) im))
accuracy	0.41148378907376804	(/.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 re (*.f64 re (/.f64 #s(literal 1/2 binary64) im)) im))) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
accuracy	0.734375	(log.f64 #s(literal 1/10 binary64))

Samples

97.0ms	188×	0	valid
23.0ms	68×	0	invalid

Compiler

Compiled 297 to 40 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-log: 19.0ms (29.2% of total)

ival-div: 14.0ms (21.5% of total)

ival-mult: 10.0ms (15.4% of total)

ival-hypot: 5.0ms (7.7% of total)

ival-pow: 5.0ms (7.7% of total)

ival-add: 4.0ms (6.1% of total)

const: 4.0ms (6.1% of total)

ival-exp: 3.0ms (4.6% of total)

ival-neg: 2.0ms (3.1% of total)

exact: 1.0ms (1.5% of total)

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

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

series45.0ms (0.5%)

Memory

18.5MiB live, 92.9MiB allocated

Counts

21 → 432

Calls

Call 1

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

Outputs
#s(alt (* -1 (/ (log im) (log 1/10))) (taylor 0 re) (#s(alt (/.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 re (.f64 re (/.f64 #s(literal 1/2 binary64) im)) im))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) (patch (/.f64 (log.f64 #s(approx (sqrt (+ ( re re) (* im im))) (fma.f64 re (*.f64 re (/.f64 #s(literal 1/2 binary64) 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 #s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 re (.f64 re (/.f64 #s(literal 1/2 binary64) im)) im))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) (patch (/.f64 (log.f64 #s(approx (sqrt (+ ( re re) (* im im))) (fma.f64 re (*.f64 re (/.f64 #s(literal 1/2 binary64) 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 #s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 re (.f64 re (/.f64 #s(literal 1/2 binary64) im)) im))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) (patch (/.f64 (log.f64 #s(approx (sqrt (+ ( re re) (* im im))) (fma.f64 re (*.f64 re (/.f64 #s(literal 1/2 binary64) 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 #s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 re (.f64 re (/.f64 #s(literal 1/2 binary64) im)) im))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) (patch (/.f64 (log.f64 #s(approx (sqrt (+ ( re re) (* im im))) (fma.f64 re (*.f64 re (/.f64 #s(literal 1/2 binary64) im)) im))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (log (/ 1 re)) (log 1/10)) (taylor inf re) (#s(alt (/.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 re (.f64 re (/.f64 #s(literal 1/2 binary64) im)) im))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) (patch (/.f64 (log.f64 #s(approx (sqrt (+ ( re re) (* im im))) (fma.f64 re (*.f64 re (/.f64 #s(literal 1/2 binary64) im)) im))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10))) (taylor inf re) (#s(alt (/.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 re (.f64 re (/.f64 #s(literal 1/2 binary64) im)) im))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) (patch (/.f64 (log.f64 #s(approx (sqrt (+ ( re re) (* im im))) (fma.f64 re (*.f64 re (/.f64 #s(literal 1/2 binary64) im)) im))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -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)))) (taylor inf re) (#s(alt (/.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 re (.f64 re (/.f64 #s(literal 1/2 binary64) im)) im))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) (patch (/.f64 (log.f64 #s(approx (sqrt (+ ( re re) (* im im))) (fma.f64 re (*.f64 re (/.f64 #s(literal 1/2 binary64) im)) im))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -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))))) (taylor inf re) (#s(alt (/.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 re (.f64 re (/.f64 #s(literal 1/2 binary64) im)) im))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) (patch (/.f64 (log.f64 #s(approx (sqrt (+ ( re re) (* im im))) (fma.f64 re (*.f64 re (/.f64 #s(literal 1/2 binary64) im)) im))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (log (/ -1 re)) (log 1/10)) (taylor -inf re) (#s(alt (/.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 re (.f64 re (/.f64 #s(literal 1/2 binary64) im)) im))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) (patch (/.f64 (log.f64 #s(approx (sqrt (+ ( re re) (* im im))) (fma.f64 re (*.f64 re (/.f64 #s(literal 1/2 binary64) im)) im))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (/ (log (/ -1 re)) (log 1/10))) (taylor -inf re) (#s(alt (/.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 re (.f64 re (/.f64 #s(literal 1/2 binary64) im)) im))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) (patch (/.f64 (log.f64 #s(approx (sqrt (+ ( re re) (* im im))) (fma.f64 re (*.f64 re (/.f64 #s(literal 1/2 binary64) im)) im))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -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)))) (taylor -inf re) (#s(alt (/.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 re (.f64 re (/.f64 #s(literal 1/2 binary64) im)) im))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) (patch (/.f64 (log.f64 #s(approx (sqrt (+ ( re re) (* im im))) (fma.f64 re (*.f64 re (/.f64 #s(literal 1/2 binary64) im)) im))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -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))))) (taylor -inf re) (#s(alt (/.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 re (.f64 re (/.f64 #s(literal 1/2 binary64) im)) im))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) (patch (/.f64 (log.f64 #s(approx (sqrt (+ ( re re) (* im im))) (fma.f64 re (*.f64 re (/.f64 #s(literal 1/2 binary64) im)) im))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log re) (log 1/10))) (taylor 0 im) (#s(alt (/.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 re (.f64 re (/.f64 #s(literal 1/2 binary64) im)) im))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) (patch (/.f64 (log.f64 #s(approx (sqrt (+ ( re re) (* im im))) (fma.f64 re (*.f64 re (/.f64 #s(literal 1/2 binary64) im)) im))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log re) (log 1/10))) (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10))))) (taylor 0 im) (#s(alt (/.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 re (.f64 re (/.f64 #s(literal 1/2 binary64) im)) im))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) (patch (/.f64 (log.f64 #s(approx (sqrt (+ ( re re) (* im im))) (fma.f64 re (*.f64 re (/.f64 #s(literal 1/2 binary64) im)) im))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log re) (log 1/10))) (* (pow im 2) (- (* 1/4 (/ (pow im 2) (* (pow re 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow re 2) (log 1/10))))))) (taylor 0 im) (#s(alt (/.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 re (.f64 re (/.f64 #s(literal 1/2 binary64) im)) im))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) (patch (/.f64 (log.f64 #s(approx (sqrt (+ ( re re) (* im im))) (fma.f64 re (*.f64 re (/.f64 #s(literal 1/2 binary64) im)) im))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log re) (log 1/10))) (* (pow im 2) (- (* (pow im 2) (+ (* -1/6 (/ (pow im 2) (* (pow re 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow re 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow re 2) (log 1/10))))))) (taylor 0 im) (#s(alt (/.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 re (.f64 re (/.f64 #s(literal 1/2 binary64) im)) im))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) (patch (/.f64 (log.f64 #s(approx (sqrt (+ ( re re) (* im im))) (fma.f64 re (*.f64 re (/.f64 #s(literal 1/2 binary64) im)) im))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (log (/ 1 im)) (log 1/10)) (taylor inf im) (#s(alt (/.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 re (.f64 re (/.f64 #s(literal 1/2 binary64) im)) im))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) (patch (/.f64 (log.f64 #s(approx (sqrt (+ ( re re) (* im im))) (fma.f64 re (*.f64 re (/.f64 #s(literal 1/2 binary64) im)) im))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (log (* -1 (log (/ -1 im))))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im)))))) (taylor -inf im) (#s(alt (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im))))) #s(literal -1 binary64)) (patch (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im))))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (* -1 (log (/ -1 im))))) (+ (* -1/24 (/ (+ (* -3 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 6 (/ (pow re 4) (log (/ -1 im))))) (pow im 4))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im))))))) (taylor -inf im) (#s(alt (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im))))) #s(literal -1 binary64)) (patch (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im))))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (* -1 (log (/ -1 im))))) (+ (* -1/24 (/ (+ (* -3 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 6 (/ (pow re 4) (log (/ -1 im))))) (pow im 4))) (+ (* -1/720 (/ (+ (* -120 (/ (pow re 6) (log (/ -1 im)))) (+ (* -30 (/ (pow re 6) (pow (log (/ -1 im)) 3))) (* 90 (/ (pow re 6) (pow (log (/ -1 im)) 2))))) (pow im 6))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im)))))))) (taylor -inf im) (#s(alt (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im))))) #s(literal -1 binary64)) (patch (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im))))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ re im)) (taylor 0 re) (#s(alt (.f64 re (/.f64 #s(literal 1/2 binary64) im)) (patch (.f64 re (/.f64 #s(literal 1/2 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ re im)) (taylor 0 re) (#s(alt (.f64 re (/.f64 #s(literal 1/2 binary64) im)) (patch (.f64 re (/.f64 #s(literal 1/2 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ re im)) (taylor 0 re) (#s(alt (.f64 re (/.f64 #s(literal 1/2 binary64) im)) (patch (.f64 re (/.f64 #s(literal 1/2 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ re im)) (taylor 0 re) (#s(alt (.f64 re (/.f64 #s(literal 1/2 binary64) im)) (patch (.f64 re (/.f64 #s(literal 1/2 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ re im)) (taylor inf re) (#s(alt (.f64 re (/.f64 #s(literal 1/2 binary64) im)) (patch (.f64 re (/.f64 #s(literal 1/2 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ re im)) (taylor inf re) (#s(alt (.f64 re (/.f64 #s(literal 1/2 binary64) im)) (patch (.f64 re (/.f64 #s(literal 1/2 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ re im)) (taylor inf re) (#s(alt (.f64 re (/.f64 #s(literal 1/2 binary64) im)) (patch (.f64 re (/.f64 #s(literal 1/2 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ re im)) (taylor inf re) (#s(alt (.f64 re (/.f64 #s(literal 1/2 binary64) im)) (patch (.f64 re (/.f64 #s(literal 1/2 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ re im)) (taylor -inf re) (#s(alt (.f64 re (/.f64 #s(literal 1/2 binary64) im)) (patch (.f64 re (/.f64 #s(literal 1/2 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ re im)) (taylor -inf re) (#s(alt (.f64 re (/.f64 #s(literal 1/2 binary64) im)) (patch (.f64 re (/.f64 #s(literal 1/2 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ re im)) (taylor -inf re) (#s(alt (.f64 re (/.f64 #s(literal 1/2 binary64) im)) (patch (.f64 re (/.f64 #s(literal 1/2 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ re im)) (taylor -inf re) (#s(alt (.f64 re (/.f64 #s(literal 1/2 binary64) im)) (patch (.f64 re (/.f64 #s(literal 1/2 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ re im)) (taylor 0 im) (#s(alt (.f64 re (/.f64 #s(literal 1/2 binary64) im)) (patch (.f64 re (/.f64 #s(literal 1/2 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ re im)) (taylor 0 im) (#s(alt (.f64 re (/.f64 #s(literal 1/2 binary64) im)) (patch (.f64 re (/.f64 #s(literal 1/2 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ re im)) (taylor 0 im) (#s(alt (.f64 re (/.f64 #s(literal 1/2 binary64) im)) (patch (.f64 re (/.f64 #s(literal 1/2 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ re im)) (taylor 0 im) (#s(alt (.f64 re (/.f64 #s(literal 1/2 binary64) im)) (patch (.f64 re (/.f64 #s(literal 1/2 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ re im)) (taylor inf im) (#s(alt (.f64 re (/.f64 #s(literal 1/2 binary64) im)) (patch (.f64 re (/.f64 #s(literal 1/2 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ re im)) (taylor inf im) (#s(alt (.f64 re (/.f64 #s(literal 1/2 binary64) im)) (patch (.f64 re (/.f64 #s(literal 1/2 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ re im)) (taylor inf im) (#s(alt (.f64 re (/.f64 #s(literal 1/2 binary64) im)) (patch (.f64 re (/.f64 #s(literal 1/2 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ re im)) (taylor inf im) (#s(alt (.f64 re (/.f64 #s(literal 1/2 binary64) im)) (patch (.f64 re (/.f64 #s(literal 1/2 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ re im)) (taylor -inf im) (#s(alt (.f64 re (/.f64 #s(literal 1/2 binary64) im)) (patch (.f64 re (/.f64 #s(literal 1/2 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ re im)) (taylor -inf im) (#s(alt (.f64 re (/.f64 #s(literal 1/2 binary64) im)) (patch (.f64 re (/.f64 #s(literal 1/2 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ re im)) (taylor -inf im) (#s(alt (.f64 re (/.f64 #s(literal 1/2 binary64) im)) (patch (.f64 re (/.f64 #s(literal 1/2 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ re im)) (taylor -inf im) (#s(alt (.f64 re (/.f64 #s(literal 1/2 binary64) im)) (patch (.f64 re (/.f64 #s(literal 1/2 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (log im)) (taylor 0 im) (#s(alt (/.f64 #s(literal 1 binary64) (log.f64 im)) (patch (/.f64 #s(literal 1 binary64) (log.f64 im)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (log im)) (taylor 0 im) (#s(alt (/.f64 #s(literal 1 binary64) (log.f64 im)) (patch (/.f64 #s(literal 1 binary64) (log.f64 im)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (log im)) (taylor 0 im) (#s(alt (/.f64 #s(literal 1 binary64) (log.f64 im)) (patch (/.f64 #s(literal 1 binary64) (log.f64 im)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (log im)) (taylor 0 im) (#s(alt (/.f64 #s(literal 1 binary64) (log.f64 im)) (patch (/.f64 #s(literal 1 binary64) (log.f64 im)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (log (/ 1 im))) (taylor inf im) (#s(alt (/.f64 #s(literal 1 binary64) (log.f64 im)) (patch (/.f64 #s(literal 1 binary64) (log.f64 im)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (log (/ 1 im))) (taylor inf im) (#s(alt (/.f64 #s(literal 1 binary64) (log.f64 im)) (patch (/.f64 #s(literal 1 binary64) (log.f64 im)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (log (/ 1 im))) (taylor inf im) (#s(alt (/.f64 #s(literal 1 binary64) (log.f64 im)) (patch (/.f64 #s(literal 1 binary64) (log.f64 im)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (log (/ 1 im))) (taylor inf im) (#s(alt (/.f64 #s(literal 1 binary64) (log.f64 im)) (patch (/.f64 #s(literal 1 binary64) (log.f64 im)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ (log -1) (* -1 (log (/ -1 im))))) (taylor -inf im) (#s(alt (/.f64 #s(literal 1 binary64) (log.f64 im)) (patch (/.f64 #s(literal 1 binary64) (log.f64 im)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ (log -1) (* -1 (log (/ -1 im))))) (taylor -inf im) (#s(alt (/.f64 #s(literal 1 binary64) (log.f64 im)) (patch (/.f64 #s(literal 1 binary64) (log.f64 im)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ (log -1) (* -1 (log (/ -1 im))))) (taylor -inf im) (#s(alt (/.f64 #s(literal 1 binary64) (log.f64 im)) (patch (/.f64 #s(literal 1 binary64) (log.f64 im)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ (log -1) (* -1 (log (/ -1 im))))) (taylor -inf im) (#s(alt (/.f64 #s(literal 1 binary64) (log.f64 im)) (patch (/.f64 #s(literal 1 binary64) (log.f64 im)) #<representation binary64>) () ())) ())
#s(alt (log (pow im 2)) (taylor 0 re) (#s(alt (log.f64 (fma.f64 re re (.f64 im im))) (patch (log.f64 (fma.f64 re re (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (+ (log (pow im 2)) (/ (pow re 2) (pow im 2))) (taylor 0 re) (#s(alt (log.f64 (fma.f64 re re (.f64 im im))) (patch (log.f64 (fma.f64 re re (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (+ (log (pow im 2)) (* (pow re 2) (+ (* -1/2 (/ (pow re 2) (pow im 4))) (/ 1 (pow im 2))))) (taylor 0 re) (#s(alt (log.f64 (fma.f64 re re (.f64 im im))) (patch (log.f64 (fma.f64 re re (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (+ (log (pow im 2)) (* (pow re 2) (+ (* (pow re 2) (- (* 1/3 (/ (pow re 2) (pow im 6))) (* 1/2 (/ 1 (pow im 4))))) (/ 1 (pow im 2))))) (taylor 0 re) (#s(alt (log.f64 (fma.f64 re re (.f64 im im))) (patch (log.f64 (fma.f64 re re (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (* -2 (log (/ 1 re))) (taylor inf re) (#s(alt (log.f64 (fma.f64 re re (.f64 im im))) (patch (log.f64 (fma.f64 re re (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (log (/ 1 re))) (/ (pow im 2) (pow re 2))) (taylor inf re) (#s(alt (log.f64 (fma.f64 re re (.f64 im im))) (patch (log.f64 (fma.f64 re re (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (log (/ 1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2)))) (taylor inf re) (#s(alt (log.f64 (fma.f64 re re (.f64 im im))) (patch (log.f64 (fma.f64 re re (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (+ (* -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))))) (taylor inf re) (#s(alt (log.f64 (fma.f64 re re (.f64 im im))) (patch (log.f64 (fma.f64 re re (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (* -2 (log (/ -1 re))) (taylor -inf re) (#s(alt (log.f64 (fma.f64 re re (.f64 im im))) (patch (log.f64 (fma.f64 re re (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (log (/ -1 re))) (/ (pow im 2) (pow re 2))) (taylor -inf re) (#s(alt (log.f64 (fma.f64 re re (.f64 im im))) (patch (log.f64 (fma.f64 re re (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (log (/ -1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2)))) (taylor -inf re) (#s(alt (log.f64 (fma.f64 re re (.f64 im im))) (patch (log.f64 (fma.f64 re re (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (+ (* -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))))) (taylor -inf re) (#s(alt (log.f64 (fma.f64 re re (.f64 im im))) (patch (log.f64 (fma.f64 re re (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (log (pow re 2)) (taylor 0 im) (#s(alt (log.f64 (fma.f64 re re (.f64 im im))) (patch (log.f64 (fma.f64 re re (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (+ (log (pow re 2)) (/ (pow im 2) (pow re 2))) (taylor 0 im) (#s(alt (log.f64 (fma.f64 re re (.f64 im im))) (patch (log.f64 (fma.f64 re re (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (+ (log (pow re 2)) (* (pow im 2) (+ (* -1/2 (/ (pow im 2) (pow re 4))) (/ 1 (pow re 2))))) (taylor 0 im) (#s(alt (log.f64 (fma.f64 re re (.f64 im im))) (patch (log.f64 (fma.f64 re re (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (+ (log (pow re 2)) (* (pow im 2) (+ (* (pow im 2) (- (* 1/3 (/ (pow im 2) (pow re 6))) (* 1/2 (/ 1 (pow re 4))))) (/ 1 (pow re 2))))) (taylor 0 im) (#s(alt (log.f64 (fma.f64 re re (.f64 im im))) (patch (log.f64 (fma.f64 re re (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (* -2 (log (/ 1 im))) (taylor inf im) (#s(alt (log.f64 (fma.f64 re re (.f64 im im))) (patch (log.f64 (fma.f64 re re (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (log (/ 1 im))) (/ (pow re 2) (pow im 2))) (taylor inf im) (#s(alt (log.f64 (fma.f64 re re (.f64 im im))) (patch (log.f64 (fma.f64 re re (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2)))) (taylor inf im) (#s(alt (log.f64 (fma.f64 re re (.f64 im im))) (patch (log.f64 (fma.f64 re re (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2))))) (taylor inf im) (#s(alt (log.f64 (fma.f64 re re (.f64 im im))) (patch (log.f64 (fma.f64 re re (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (* -2 (log (/ -1 im))) (taylor -inf im) (#s(alt (log.f64 (fma.f64 re re (.f64 im im))) (patch (log.f64 (fma.f64 re re (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (log (/ -1 im))) (/ (pow re 2) (pow im 2))) (taylor -inf im) (#s(alt (log.f64 (fma.f64 re re (.f64 im im))) (patch (log.f64 (fma.f64 re re (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2)))) (taylor -inf im) (#s(alt (log.f64 (fma.f64 re re (.f64 im im))) (patch (log.f64 (fma.f64 re re (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2))))) (taylor -inf im) (#s(alt (log.f64 (fma.f64 re re (.f64 im im))) (patch (log.f64 (fma.f64 re re (.f64 im im))) #<representation binary64>) () ())) ())

Calls

108 calls:

Time	Variable		Point	Expression
4.0ms	re	@	0	(* (log (* 1/2 (log (+ (* re re) (* im im))))) -1)
1.0ms	im	@	0	(* (log (* 1/2 (log (+ (* re re) (* im im))))) -1)
1.0ms	re	@	inf	(* (log (* 1/2 (log (+ (* re re) (* im im))))) -1)
1.0ms	im	@	inf	(* (log (* 1/2 (log (+ (* re re) (* im im))))) -1)
1.0ms	re	@	inf	(/ (log 1/10) (log (+ (* re re) (* im im))))

simplify496.0ms (5.2%)

Memory

25.3MiB live, 817.3MiB allocated

Algorithm

1×	egg-herbie

Rules

10 592×	`lower-fma.f64`
10 592×	`lower-fma.f32`
8 210×	`lower-*.f64`
8 210×	`lower-*.f32`
5 138×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1056	11315
1	3104	11091
0	8781	10595

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 425

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)))))))
(/ (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)) (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 re) (log 1/10)))
(+ (* -1 (/ (log re) (log 1/10))) (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))))
(+ (* -1 (/ (log re) (log 1/10))) (* (pow im 2) (- (* 1/4 (/ (pow im 2) (* (pow re 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow re 2) (log 1/10)))))))
(+ (* -1 (/ (log re) (log 1/10))) (* (pow im 2) (- (* (pow im 2) (+ (* -1/6 (/ (pow im 2) (* (pow re 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow re 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow re 2) (log 1/10)))))))
(/ (log (/ 1 im)) (log 1/10))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (/ (log (/ 1 im)) (log 1/10)))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ 1 im)) (log 1/10))))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ 1 im)) (log 1/10)))))
(/ (log (/ -1 im)) (log 1/10))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10)))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10))))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10)))))
(log im)
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))
(+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2))))))
(* -1 (log (/ 1 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)))))
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(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ -1 re)) (log 1/10))))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* -1/6 (/ (pow im 6) (* (pow re 6) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ -1 re)) (log 1/10)))))
(* -1/2 (/ (log (pow re 2)) (log 1/10)))
(+ (* -1/2 (/ (log (pow re 2)) (log 1/10))) (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))))
(+ (* -1/2 (/ (log (pow re 2)) (log 1/10))) (* (pow im 2) (- (* 1/4 (/ (pow im 2) (* (pow re 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow re 2) (log 1/10)))))))
(+ (* -1/2 (/ (log (pow re 2)) (log 1/10))) (* (pow im 2) (- (* (pow im 2) (+ (* -1/6 (/ (pow im 2) (* (pow re 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow re 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow re 2) (log 1/10)))))))
(/ (log (/ 1 im)) (log 1/10))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (/ (log (/ 1 im)) (log 1/10)))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ 1 im)) (log 1/10))))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* -1/6 (/ (pow re 6) (* (pow im 6) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ 1 im)) (log 1/10)))))
(/ (log (/ -1 im)) (log 1/10))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10)))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10))))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* -1/6 (/ (pow re 6) (* (pow im 6) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10)))))
(* -1 (log (* 1/2 (log (pow im 2)))))
(+ (* -1 (log (* 1/2 (log (pow im 2))))) (* -1 (/ (pow re 2) (* (pow im 2) (log (pow im 2))))))
(+ (* -1 (log (* 1/2 (log (pow im 2))))) (* (pow re 2) (- (* 1/24 (* (pow re 2) (+ (* 12 (/ 1 (* (pow im 4) (log (pow im 2))))) (* 12 (/ 1 (* (pow im 4) (pow (log (pow im 2)) 2))))))) (/ 1 (* (pow im 2) (log (pow im 2)))))))
(+ (* -1 (log (* 1/2 (log (pow im 2))))) (* (pow re 2) (- (* (pow re 2) (+ (* -1/720 (* (pow re 2) (+ (* 240 (/ 1 (* (pow im 6) (pow (log (pow im 2)) 3)))) (+ (* 360 (/ 1 (* (pow im 6) (pow (log (pow im 2)) 2)))) (* 240 (/ 1 (* (pow im 6) (log (pow im 2))))))))) (* 1/24 (+ (* 12 (/ 1 (* (pow im 4) (log (pow im 2))))) (* 12 (/ 1 (* (pow im 4) (pow (log (pow im 2)) 2)))))))) (/ 1 (* (pow im 2) (log (pow im 2)))))))
(* -1 (log (* -1 (log (/ 1 re)))))
(+ (* -1 (log (* -1 (log (/ 1 re))))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log (/ 1 re))))))
(+ (* -1 (log (* -1 (log (/ 1 re))))) (+ (* -1/24 (/ (+ (* -3 (/ (pow im 4) (pow (log (/ 1 re)) 2))) (* 6 (/ (pow im 4) (log (/ 1 re))))) (pow re 4))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log (/ 1 re)))))))
(+ (* -1 (log (* -1 (log (/ 1 re))))) (+ (* -1/24 (/ (+ (* -3 (/ (pow im 4) (pow (log (/ 1 re)) 2))) (* 6 (/ (pow im 4) (log (/ 1 re))))) (pow re 4))) (+ (* -1/720 (/ (+ (* -120 (/ (pow im 6) (log (/ 1 re)))) (+ (* -30 (/ (pow im 6) (pow (log (/ 1 re)) 3))) (* 90 (/ (pow im 6) (pow (log (/ 1 re)) 2))))) (pow re 6))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log (/ 1 re))))))))
(* -1 (log (* -1 (log (/ -1 re)))))
(+ (* -1 (log (* -1 (log (/ -1 re))))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log (/ -1 re))))))
(+ (* -1 (log (* -1 (log (/ -1 re))))) (+ (* -1/24 (/ (+ (* -3 (/ (pow im 4) (pow (log (/ -1 re)) 2))) (* 6 (/ (pow im 4) (log (/ -1 re))))) (pow re 4))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log (/ -1 re)))))))
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(* -1 (log (* 1/2 (log (pow re 2)))))
(+ (* -1 (log (* 1/2 (log (pow re 2))))) (* -1 (/ (pow im 2) (* (pow re 2) (log (pow re 2))))))
(+ (* -1 (log (* 1/2 (log (pow re 2))))) (* (pow im 2) (- (* 1/24 (* (pow im 2) (+ (* 12 (/ 1 (* (pow re 4) (log (pow re 2))))) (* 12 (/ 1 (* (pow re 4) (pow (log (pow re 2)) 2))))))) (/ 1 (* (pow re 2) (log (pow re 2)))))))
(+ (* -1 (log (* 1/2 (log (pow re 2))))) (* (pow im 2) (- (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ (* 240 (/ 1 (* (pow re 6) (pow (log (pow re 2)) 3)))) (+ (* 360 (/ 1 (* (pow re 6) (pow (log (pow re 2)) 2)))) (* 240 (/ 1 (* (pow re 6) (log (pow re 2))))))))) (* 1/24 (+ (* 12 (/ 1 (* (pow re 4) (log (pow re 2))))) (* 12 (/ 1 (* (pow re 4) (pow (log (pow re 2)) 2)))))))) (/ 1 (* (pow re 2) (log (pow re 2)))))))
(* -1 (log (* -1 (log (/ 1 im)))))
(+ (* -1 (log (* -1 (log (/ 1 im))))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log (/ 1 im))))))
(+ (* -1 (log (* -1 (log (/ 1 im))))) (+ (* -1/24 (/ (+ (* -3 (/ (pow re 4) (pow (log (/ 1 im)) 2))) (* 6 (/ (pow re 4) (log (/ 1 im))))) (pow im 4))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log (/ 1 im)))))))
(+ (* -1 (log (* -1 (log (/ 1 im))))) (+ (* -1/24 (/ (+ (* -3 (/ (pow re 4) (pow (log (/ 1 im)) 2))) (* 6 (/ (pow re 4) (log (/ 1 im))))) (pow im 4))) (+ (* -1/720 (/ (+ (* -120 (/ (pow re 6) (log (/ 1 im)))) (+ (* -30 (/ (pow re 6) (pow (log (/ 1 im)) 3))) (* 90 (/ (pow re 6) (pow (log (/ 1 im)) 2))))) (pow im 6))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log (/ 1 im))))))))
(* -1 (log (* -1 (log (/ -1 im)))))
(+ (* -1 (log (* -1 (log (/ -1 im))))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im))))))
(+ (* -1 (log (* -1 (log (/ -1 im))))) (+ (* -1/24 (/ (+ (* -3 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 6 (/ (pow re 4) (log (/ -1 im))))) (pow im 4))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im)))))))
(+ (* -1 (log (* -1 (log (/ -1 im))))) (+ (* -1/24 (/ (+ (* -3 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 6 (/ (pow re 4) (log (/ -1 im))))) (pow im 4))) (+ (* -1/720 (/ (+ (* -120 (/ (pow re 6) (log (/ -1 im)))) (+ (* -30 (/ (pow re 6) (pow (log (/ -1 im)) 3))) (* 90 (/ (pow re 6) (pow (log (/ -1 im)) 2))))) (pow im 6))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im))))))))
(* 1/2 (/ re im))
(* 1/2 (/ re im))
(* 1/2 (/ re im))
(* 1/2 (/ re im))
(* 1/2 (/ re im))
(* 1/2 (/ re im))
(* 1/2 (/ re im))
(* 1/2 (/ re im))
(* 1/2 (/ re im))
(* 1/2 (/ re im))
(* 1/2 (/ re im))
(* 1/2 (/ re im))
(* 1/2 (/ re im))
(* 1/2 (/ re im))
(* 1/2 (/ re im))
(* 1/2 (/ re im))
(* 1/2 (/ re im))
(* 1/2 (/ re im))
(* 1/2 (/ re im))
(* 1/2 (/ re im))
(* 1/2 (/ re im))
(* 1/2 (/ re im))
(* 1/2 (/ re im))
(* 1/2 (/ re im))
(/ 1 (log im))
(/ 1 (log im))
(/ 1 (log im))
(/ 1 (log im))
(/ -1 (log (/ 1 im)))
(/ -1 (log (/ 1 im)))
(/ -1 (log (/ 1 im)))
(/ -1 (log (/ 1 im)))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(log (pow im 2))
(+ (log (pow im 2)) (/ (pow re 2) (pow im 2)))
(+ (log (pow im 2)) (* (pow re 2) (+ (* -1/2 (/ (pow re 2) (pow im 4))) (/ 1 (pow im 2)))))
(+ (log (pow im 2)) (* (pow re 2) (+ (* (pow re 2) (- (* 1/3 (/ (pow re 2) (pow im 6))) (* 1/2 (/ 1 (pow im 4))))) (/ 1 (pow im 2)))))
(* -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)))))
(* -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)))))
(log (pow re 2))
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(* -2 (log (/ 1 im)))
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(+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))
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(* -2 (log (/ -1 im)))
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(+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))
(+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2)))))

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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(-.f64 (.f64 (.f64 re re) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 re re) (.f64 (log.f64 #s(literal 1/10 binary64)) (pow.f64 im #s(literal 4 binary64)))) (/.f64 #s(literal -1/2 binary64) (.f64 im (.f64 im (log.f64 #s(literal 1/10 binary64))))))) (/.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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(/ (log (/ 1 re)) (log 1/10))
(/.f64 (neg.f64 (log.f64 re)) (log.f64 #s(literal 1/10 binary64)))
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(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 im im) (.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 re re))) (fma.f64 #s(literal -1/720 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 120 binary64)) (.f64 (log.f64 #s(literal 1/10 binary64)) (pow.f64 re #s(literal 6 binary64)))) (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 (log.f64 #s(literal 1/10 binary64)) (pow.f64 re #s(literal 4 binary64)))) (/.f64 (log.f64 re) (log.f64 #s(literal 1/10 binary64))))))
(/ (log (/ -1 re)) (log 1/10))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 #s(literal 1/10 binary64)))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (/ (log (/ -1 re)) (log 1/10)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 im im) (.f64 (log.f64 #s(literal 1/10 binary64)) (*.f64 re re))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 #s(literal 1/10 binary64))))
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(* -1 (/ (log re) (log 1/10)))
(/.f64 (neg.f64 (log.f64 re)) (log.f64 #s(literal 1/10 binary64)))
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(-.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 im im)) (.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 re re))) (/.f64 (log.f64 re) (log.f64 #s(literal 1/10 binary64))))
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(fma.f64 (.f64 im im) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 im im) (.f64 (log.f64 #s(literal 1/10 binary64)) (pow.f64 re #s(literal 4 binary64)))) (/.f64 #s(literal -1/2 binary64) (.f64 (log.f64 #s(literal 1/10 binary64)) (*.f64 re re)))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 #s(literal 1/10 binary64))))
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(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 im im) (.f64 (log.f64 #s(literal 1/10 binary64)) (pow.f64 re #s(literal 6 binary64)))) (/.f64 #s(literal 1/4 binary64) (.f64 (log.f64 #s(literal 1/10 binary64)) (pow.f64 re #s(literal 4 binary64))))) (/.f64 #s(literal -1/2 binary64) (.f64 (log.f64 #s(literal 1/10 binary64)) (*.f64 re re)))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 #s(literal 1/10 binary64))))
(/ (log (/ 1 im)) (log 1/10))
(/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64)))
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(-.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 re re)) (.f64 im (.f64 im (log.f64 #s(literal 1/10 binary64))))) (/.f64 (log.f64 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))))
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(+ (* -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 #s(literal -1/720 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (.f64 (log.f64 #s(literal 1/10 binary64)) (pow.f64 im #s(literal 6 binary64)))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 re re) (.f64 im (.f64 im (log.f64 #s(literal 1/10 binary64))))) (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (*.f64 (log.f64 #s(literal 1/10 binary64)) (pow.f64 im #s(literal 4 binary64))))) (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64)))))
(/ (log (/ -1 im)) (log 1/10))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 1/10 binary64)))
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(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 re re) (.f64 im (*.f64 im (log.f64 #s(literal 1/10 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)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 re re) (.f64 im (.f64 im (log.f64 #s(literal 1/10 binary64))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (log.f64 #s(literal 1/10 binary64)) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 1/10 binary64)))))
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(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 re re) (.f64 im (.f64 im (log.f64 #s(literal 1/10 binary64))))) (fma.f64 #s(literal -1/720 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (.f64 (log.f64 #s(literal 1/10 binary64)) (pow.f64 im #s(literal 6 binary64)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (log.f64 #s(literal 1/10 binary64)) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 1/10 binary64))))))
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(-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 re re) (.f64 (.f64 im im) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (fma.f64 #s(literal -1/720 binary64) (/.f64 (fma.f64 #s(literal 90 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) (fma.f64 (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal -30 binary64) (/.f64 (.f64 #s(literal -120 binary64) (pow.f64 re #s(literal 6 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im))))) (pow.f64 im #s(literal 6 binary64))) (/.f64 (.f64 #s(literal -1/24 binary64) (fma.f64 #s(literal 6 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (/.f64 (.f64 #s(literal -3 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))))) (pow.f64 im #s(literal 4 binary64))))) (log.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))))
(* 1/2 (/ re im))
(/.f64 (*.f64 #s(literal 1/2 binary64) re) im)
(* 1/2 (/ re im))
(/.f64 (*.f64 #s(literal 1/2 binary64) re) im)
(* 1/2 (/ re im))
(/.f64 (*.f64 #s(literal 1/2 binary64) re) im)
(* 1/2 (/ re im))
(/.f64 (*.f64 #s(literal 1/2 binary64) re) im)
(* 1/2 (/ re im))
(/.f64 (*.f64 #s(literal 1/2 binary64) re) im)
(* 1/2 (/ re im))
(/.f64 (*.f64 #s(literal 1/2 binary64) re) im)
(* 1/2 (/ re im))
(/.f64 (*.f64 #s(literal 1/2 binary64) re) im)
(* 1/2 (/ re im))
(/.f64 (*.f64 #s(literal 1/2 binary64) re) im)
(* 1/2 (/ re im))
(/.f64 (*.f64 #s(literal 1/2 binary64) re) im)
(* 1/2 (/ re im))
(/.f64 (*.f64 #s(literal 1/2 binary64) re) im)
(* 1/2 (/ re im))
(/.f64 (*.f64 #s(literal 1/2 binary64) re) im)
(* 1/2 (/ re im))
(/.f64 (*.f64 #s(literal 1/2 binary64) re) im)
(* 1/2 (/ re im))
(/.f64 (*.f64 #s(literal 1/2 binary64) re) im)
(* 1/2 (/ re im))
(/.f64 (*.f64 #s(literal 1/2 binary64) re) im)
(* 1/2 (/ re im))
(/.f64 (*.f64 #s(literal 1/2 binary64) re) im)
(* 1/2 (/ re im))
(/.f64 (*.f64 #s(literal 1/2 binary64) re) im)
(* 1/2 (/ re im))
(/.f64 (*.f64 #s(literal 1/2 binary64) re) im)
(* 1/2 (/ re im))
(/.f64 (*.f64 #s(literal 1/2 binary64) re) im)
(* 1/2 (/ re im))
(/.f64 (*.f64 #s(literal 1/2 binary64) re) im)
(* 1/2 (/ re im))
(/.f64 (*.f64 #s(literal 1/2 binary64) re) im)
(* 1/2 (/ re im))
(/.f64 (*.f64 #s(literal 1/2 binary64) re) im)
(* 1/2 (/ re im))
(/.f64 (*.f64 #s(literal 1/2 binary64) re) im)
(* 1/2 (/ re im))
(/.f64 (*.f64 #s(literal 1/2 binary64) re) im)
(* 1/2 (/ re im))
(/.f64 (*.f64 #s(literal 1/2 binary64) re) im)
(/ 1 (log im))
(/.f64 #s(literal 1 binary64) (log.f64 im))
(/ 1 (log im))
(/.f64 #s(literal 1 binary64) (log.f64 im))
(/ 1 (log im))
(/.f64 #s(literal 1 binary64) (log.f64 im))
(/ 1 (log im))
(/.f64 #s(literal 1 binary64) (log.f64 im))
(/ -1 (log (/ 1 im)))
(/.f64 #s(literal 1 binary64) (log.f64 im))
(/ -1 (log (/ 1 im)))
(/.f64 #s(literal 1 binary64) (log.f64 im))
(/ -1 (log (/ 1 im)))
(/.f64 #s(literal 1 binary64) (log.f64 im))
(/ -1 (log (/ 1 im)))
(/.f64 #s(literal 1 binary64) (log.f64 im))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(log (pow im 2))
(log.f64 (*.f64 im im))
(+ (log (pow im 2)) (/ (pow re 2) (pow im 2)))
(+.f64 (/.f64 (.f64 re re) (.f64 im im)) (log.f64 (*.f64 im im)))
(+ (log (pow im 2)) (* (pow re 2) (+ (* -1/2 (/ (pow re 2) (pow im 4))) (/ 1 (pow im 2)))))
(fma.f64 (.f64 re re) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 re re) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 im im))) (log.f64 (.f64 im im)))
(+ (log (pow im 2)) (* (pow re 2) (+ (* (pow re 2) (- (* 1/3 (/ (pow re 2) (pow im 6))) (* 1/2 (/ 1 (pow im 4))))) (/ 1 (pow im 2)))))
(fma.f64 (.f64 re re) (fma.f64 (.f64 re re) (fma.f64 (/.f64 (.f64 re re) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 im im))) (log.f64 (*.f64 im im)))
(* -2 (log (/ 1 re)))
(*.f64 #s(literal 2 binary64) (log.f64 re))
(+ (* -2 (log (/ 1 re))) (/ (pow im 2) (pow re 2)))
(fma.f64 #s(literal 2 binary64) (log.f64 re) (/.f64 (.f64 im im) (.f64 re re)))
(+ (* -2 (log (/ 1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) (log.f64 re) (/.f64 (.f64 im im) (.f64 re re))))
(+ (* -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)))))
(fma.f64 #s(literal 2 binary64) (log.f64 re) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) #s(literal 1/3 binary64) (/.f64 (.f64 im im) (.f64 re re)))))
(* -2 (log (/ -1 re)))
(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal -2 binary64))
(+ (* -2 (log (/ -1 re))) (/ (pow im 2) (pow re 2)))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal -2 binary64) (/.f64 (.f64 im im) (.f64 re re)))
(+ (* -2 (log (/ -1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal -2 binary64) (/.f64 (.f64 im im) (.f64 re re))))
(+ (* -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)))))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal -2 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) #s(literal 1/3 binary64) (/.f64 (.f64 im im) (.f64 re re)))))
(log (pow re 2))
(log.f64 (*.f64 re re))
(+ (log (pow re 2)) (/ (pow im 2) (pow re 2)))
(+.f64 (/.f64 (.f64 im im) (.f64 re re)) (log.f64 (*.f64 re re)))
(+ (log (pow re 2)) (* (pow im 2) (+ (* -1/2 (/ (pow im 2) (pow re 4))) (/ 1 (pow re 2)))))
(fma.f64 (.f64 im im) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 im im) (pow.f64 re #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 re re))) (log.f64 (.f64 re re)))
(+ (log (pow re 2)) (* (pow im 2) (+ (* (pow im 2) (- (* 1/3 (/ (pow im 2) (pow re 6))) (* 1/2 (/ 1 (pow re 4))))) (/ 1 (pow re 2)))))
(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (/.f64 (.f64 im im) (pow.f64 re #s(literal 6 binary64))) #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 re re))) (log.f64 (*.f64 re re)))
(* -2 (log (/ 1 im)))
(*.f64 (log.f64 im) #s(literal 2 binary64))
(+ (* -2 (log (/ 1 im))) (/ (pow re 2) (pow im 2)))
(fma.f64 (log.f64 im) #s(literal 2 binary64) (/.f64 (.f64 re re) (.f64 im im)))
(+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))
(fma.f64 (log.f64 im) #s(literal 2 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 (.f64 re re) (.f64 im im))))
(+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2)))))
(fma.f64 (log.f64 im) #s(literal 2 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/3 binary64) (/.f64 (.f64 re re) (.f64 im im)))))
(* -2 (log (/ -1 im)))
(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -2 binary64))
(+ (* -2 (log (/ -1 im))) (/ (pow re 2) (pow im 2)))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -2 binary64) (/.f64 (.f64 re re) (.f64 im im)))
(+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -2 binary64) (/.f64 (.f64 re re) (.f64 im im))))
(+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2)))))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -2 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/3 binary64) (/.f64 (.f64 re re) (.f64 im im)))))

rewrite303.0ms (3.2%)

Memory

-47.4MiB live, 525.4MiB allocated

Rules

5 792×	`lower-fma.f32`
5 788×	`lower-fma.f64`
5 084×	`lower-*.f32`
5 074×	`lower-*.f64`
3 384×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	238
0	68	227
1	204	218
2	1056	216
0	8315	171

Stop Event

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

Counts

21 → 654

Calls

Call 1

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

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

eval156.0ms (1.6%)

Memory: 44.7MiB live, 307.2MiB allocated
Compiler: Compiled 31 905 to 3 482 computations (89.1% saved)

prune237.0ms (2.5%)

Memory

-20.3MiB live, 386.6MiB allocated

Pruning

21 alts after pruning (15 fresh and 6 done)

	Pruned	Kept	Total
New	1 253	10	1 263
Fresh	6	5	11
Picked	2	3	5
Done	0	3	3
Total	1 261	21	1 282

Accuracy

100.0%

Counts

1 282 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.5%	(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (log (+ (* im im) (* re re)))) (/.f64 #s(literal 1 binary64) (log.f64 im)))) (log.f64 #s(literal 10 binary64)))
	71.9%	(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) (exp.f64 #s(approx (* (log (* 1/2 (log (+ (* re re) (* im im))))) -1) (neg.f64 (log.f64 (log.f64 im))))))
	72.2%	(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) #s(approx (/ 2 (log (+ (* im im) (* re re)))) (pow.f64 (pow.f64 (log.f64 im) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
✓	98.4%	(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) #s(approx (/ 2 (log (+ (* im im) (* re re)))) (/.f64 #s(literal 1 binary64) (log.f64 im))))
	98.0%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))
	98.4%	(/.f64 (.f64 (neg.f64 (pow.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)) #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (+.f64 (pow.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)) #s(literal 2 binary64)) #s(literal 0 binary64)) (log.f64 #s(literal 10 binary64))))
	98.3%	(/.f64 (.f64 (neg.f64 (pow.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)) #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 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))))
	55.1%	(/.f64 (.f64 (log.f64 (fma.f64 re re (.f64 im im))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
✓	98.4%	(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))
✓	99.1%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
✓	98.8%	(/.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 re (*.f64 re (/.f64 #s(literal 1/2 binary64) im)) im))) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
✓	98.9%	(/.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 re (*.f64 re (/.f64 #s(literal 1/2 binary64) im)) im))) (log.f64 #s(literal 10 binary64)))
▶	94.4%	(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 re (/.f64 (.f64 re #s(literal 1/2 binary64)) (.f64 im im)) (log.f64 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)))
▶	98.6%	(/.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 10 binary64)) #s(approx (/ 2 (log (+ ( im im) (* re re)))) (/.f64 #s(literal 1 binary64) (log.f64 im)))))
	55.1%	(/.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (fma.f64 re re (*.f64 im im)))))
▶	55.0%	(/.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (fma.f64 re re (*.f64 im im)))))
▶	98.4%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
	71.8%	(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 493 to 369 computations (25.2% saved)

simplify602.0ms (6.3%)

Memory

-16.2MiB live, 466.3MiB 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 (.f64 re #s(literal 1/2 binary64)) (.f64 im im))
cost-diff	0	(fma.f64 re (/.f64 (.f64 re #s(literal 1/2 binary64)) (.f64 im im)) (log.f64 im))
cost-diff	0	#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 re (/.f64 (.f64 re #s(literal 1/2 binary64)) (.f64 im im)) (log.f64 im)))
cost-diff	0	(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 re (/.f64 (.f64 re #s(literal 1/2 binary64)) (.f64 im im)) (log.f64 im))) (log.f64 #s(literal 10 binary64)))
cost-diff	0	(log.f64 (fma.f64 re re (*.f64 im im)))
cost-diff	0	(log.f64 #s(literal 1/10 binary64))
cost-diff	0	(/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (fma.f64 re re (*.f64 im im))))
cost-diff	384	(/.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (fma.f64 re re (*.f64 im im)))))
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	#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
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	704	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))

Rules

23 706×	`lower-fma.f32`
23 702×	`lower-fma.f64`
4 262×	`lower-*.f32`
4 254×	`lower-*.f64`
2 428×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	322
0	59	310
1	94	308
2	176	299
3	380	299
4	1200	299
5	2162	299
6	2956	299
7	3649	299
8	4049	299
9	4465	299
10	5003	299
0	8323	243

Stop Event

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

Calls

Call 1

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

localize243.0ms (2.5%)

Memory

6.9MiB live, 122.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.37557890991842613	#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
accuracy	0.3873825195368841	(/.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	0.5670700195368841	(pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal 2 binary64))
accuracy	0.6006050293053261	(.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
accuracy	0.01171875	(fma.f64 re (/.f64 (.f64 re #s(literal 1/2 binary64)) (.f64 im im)) (log.f64 im))
accuracy	0.0986170476565077	#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 re (/.f64 (.f64 re #s(literal 1/2 binary64)) (.f64 im im)) (log.f64 im)))
accuracy	0.5931625976844203	(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 re (/.f64 (.f64 re #s(literal 1/2 binary64)) (.f64 im im)) (log.f64 im))) (log.f64 #s(literal 10 binary64)))
accuracy	7.4541268938455385	(/.f64 (.f64 re #s(literal 1/2 binary64)) (.f64 im im))
accuracy	0.2265625	(/.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (fma.f64 re re (*.f64 im im)))))
accuracy	0.5612488281475362	(/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (fma.f64 re re (*.f64 im im))))
accuracy	1.0	(log.f64 #s(literal 1/10 binary64))
accuracy	28.441213296032334	(log.f64 (fma.f64 re re (*.f64 im im)))
accuracy	0.2265625	(/.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	0.37557890991842613	#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
accuracy	0.5612488281475362	(/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
accuracy	1.0	(log.f64 #s(literal 1/10 binary64))
accuracy	0	(log.f64 #s(literal 10 binary64))
accuracy	0.2265625	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
accuracy	0.37557890991842613	#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
accuracy	0.5612488281475362	(/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))

Samples

156.0ms

256×

valid

Compiler

Compiled 281 to 36 computations (87.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 137.0ms

ival-log: 69.0ms (50.2% of total)

ival-hypot: 36.0ms (26.2% of total)

ival-div: 13.0ms (9.5% of total)

ival-mult: 9.0ms (6.5% of total)

const: 4.0ms (2.9% of total)

ival-add: 2.0ms (1.5% of total)

ival-pow2: 2.0ms (1.5% of total)

exact: 1.0ms (0.7% of total)

ival-neg: 1.0ms (0.7% of total)

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

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

series115.0ms (1.2%)

Memory

10.3MiB live, 83.9MiB allocated

Counts

19 → 408

Calls

Call 1

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

102 calls:

Time	Variable		Point	Expression
64.0ms	re	@	0	(+ (* re (/ (* re 1/2) (* im im))) (log im))
5.0ms	im	@	inf	(/ (log 10) (log (sqrt (+ (* re re) (* im im)))))
1.0ms	re	@	inf	(/ (log 10) (log (sqrt (+ (* re re) (* im im)))))
1.0ms	im	@	inf	(/ (log 1/10) (log (sqrt (+ (* re re) (* im im)))))
1.0ms	re	@	inf	(/ (log 1/10) (log (sqrt (+ (* re re) (* im im)))))

simplify579.0ms (6%)

Memory

28.2MiB live, 461.7MiB allocated

Algorithm

1×	egg-herbie

Rules

7 512×	`lower-fma.f64`
7 512×	`lower-fma.f32`
6 584×	`lower-*.f64`
6 584×	`lower-*.f32`
5 202×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1254	12127
1	3895	11801
0	8471	11310

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

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

rewrite427.0ms (4.5%)

Memory

-9.1MiB live, 381.2MiB allocated

Rules

4 928×	`lower-*.f32`
4 920×	`lower-*.f64`
4 426×	`lower-fma.f32`
4 422×	`lower-fma.f64`
3 462×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	253
0	59	241
1	186	233
2	987	228
0	8315	176

Stop Event

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

Counts

19 → 960

Calls

Call 1

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

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

eval324.0ms (3.4%)

Memory: -7.8MiB live, 401.0MiB allocated
Compiler: Compiled 36 686 to 3 693 computations (89.9% saved)

prune712.0ms (7.4%)

Memory

-184.4MiB live, 553.1MiB allocated

Pruning

23 alts after pruning (13 fresh and 10 done)

	Pruned	Kept	Total
New	1 599	9	1 608
Fresh	6	4	10
Picked	1	4	5
Done	0	6	6
Total	1 606	23	1 629

Accuracy

100.0%

Counts

1 629 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	72.3%	(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))
	98.5%	(/.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)))
	98.4%	(/.f64 (/.f64 (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal 2 binary64)) (log.f64 #s(literal 1/10 binary64))) (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
	98.5%	(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (log (+ (* im im) (* re re)))) (/.f64 #s(literal 1 binary64) (log.f64 im)))) (log.f64 #s(literal 10 binary64)))
✓	98.4%	(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) #s(approx (/ 2 (log (+ (* im im) (* re re)))) (/.f64 #s(literal 1 binary64) (log.f64 im))))
	98.0%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))
	55.1%	(/.f64 (.f64 (log.f64 (fma.f64 re re (.f64 im im))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
	98.3%	(/.f64 (neg.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 1/10 binary64))))
✓	98.4%	(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))
✓	99.1%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
✓	98.8%	(/.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 re (*.f64 re (/.f64 #s(literal 1/2 binary64) im)) im))) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
✓	98.9%	(/.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 re (*.f64 re (/.f64 #s(literal 1/2 binary64) im)) im))) (log.f64 #s(literal 10 binary64)))
✓	94.4%	(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 re (/.f64 (.f64 re #s(literal 1/2 binary64)) (.f64 im im)) (log.f64 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)))
	3.0%	(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) #s(approx (+ (* re (/ (* re 1/2) (* im im))) (log im)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (*.f64 im im)))) (log.f64 #s(literal 10 binary64)))
✓	98.6%	(/.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 (/.f64 #s(literal 1 binary64) #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 10 binary64))))
	55.1%	(/.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (fma.f64 re re (*.f64 im im)))))
✓	55.0%	(/.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (fma.f64 re re (*.f64 im im)))))
✓	98.4%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
	72.2%	(.f64 (/.f64 (sqrt.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im))) #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))))
	72.0%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (sqrt.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) (sqrt.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
	98.5%	(.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)) (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)))))

Compiler

Compiled 1 073 to 396 computations (63.1% saved)

regimes114.0ms (1.2%)

Memory

22.8MiB live, 218.4MiB allocated

Counts

48 → 1

Calls

Call 1

Inputs
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) #s(approx (+ (* re (/ (* re 1/2) (* im im))) (log im)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (*.f64 im 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 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
(/.f64 #s(literal 1 binary64) (.f64 (log.f64 #s(literal 10 binary64)) #s(approx (/ 2 (log (+ ( im im) (* re re)))) (/.f64 #s(literal 1 binary64) (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 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
(/.f64 (.f64 (log.f64 (fma.f64 re re (.f64 im im))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
(/.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (fma.f64 re re (*.f64 im im)))))
(/.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (fma.f64 re re (*.f64 im im)))))
(/.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 re (*.f64 re (/.f64 #s(literal 1/2 binary64) im)) im))) (log.f64 #s(literal 10 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) #s(approx (/ 2 (log (+ (* im im) (* re re)))) (/.f64 #s(literal 1 binary64) (log.f64 im))))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (log (+ (* im im) (* re re)))) (/.f64 #s(literal 1 binary64) (log.f64 im)))) (log.f64 #s(literal 10 binary64)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))
(/.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 re (*.f64 re (/.f64 #s(literal 1/2 binary64) im)) im))) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re))))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im))))))
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 re (/.f64 (.f64 re #s(literal 1/2 binary64)) (.f64 im im)) (log.f64 im))) (log.f64 #s(literal 10 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal 2 binary64) (log.f64 (fma.f64 im im (*.f64 re re)))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))) (log.f64 #s(literal 10 binary64)))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
(.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (fma.f64 re re (.f64 im im)))) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (sqrt.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) (sqrt.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
(.f64 (/.f64 (sqrt.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im))) #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 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 (neg.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 1/10 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))
(.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)) (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)))))
(/.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 (.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 1/10 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) #s(approx (/ 2 (log (+ (* im im) (* re re)))) (pow.f64 (pow.f64 (log.f64 im) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) (exp.f64 #s(approx (* (log (* 1/2 (log (+ (* re re) (* im im))))) -1) (neg.f64 (log.f64 (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 1/10 binary64))) (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
(pow.f64 (.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (fma.f64 re re (.f64 im im)))) #s(literal 2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im))))) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) (exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))) #s(literal -1 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re (.f64 re (.f64 re (.f64 re (.f64 re re)))) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im)))))) (log.f64 #s(literal 10 binary64))) (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re (.f64 re (.f64 re re)) (.f64 (.f64 im im) (.f64 (+.f64 re im) (-.f64 im re)))))) (log.f64 #s(literal 10 binary64))))
(/.f64 (.f64 (neg.f64 (pow.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)) #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (+.f64 (pow.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)) #s(literal 2 binary64)) #s(literal 0 binary64)) (log.f64 #s(literal 10 binary64))))
(pow.f64 (neg.f64 (.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 (log.f64 #s(literal 10 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) #s(literal -2 binary64))))) #s(literal -1/2 binary64))
(/.f64 (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))))
(pow.f64 (.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re))))) (/.f64 (log.f64 #s(literal 10 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re)))))) #s(literal -1/2 binary64))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))))) (.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1 binary64))) (.f64 (log.f64 #s(literal 1/10 binary64)) (/.f64 (log.f64 #s(literal 10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/4 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/4 binary64)) (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/4 binary64)) (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/4 binary64))) (.f64 (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/4 binary64)) (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/4 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
14.0ms	(+.f64 (.f64 re re) (.f64 im im))
14.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
14.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))
13.0ms	(*.f64 re re)

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 60 to 38 computations (36.7% saved)

regimes85.0ms (0.9%)

Memory

15.5MiB live, 94.7MiB allocated

Counts

22 → 1

Calls

Call 1

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

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

Calls

8 calls:

29.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))
17.0ms	(*.f64 re re)
7.0ms	re
7.0ms	im
6.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Results

Accuracy	Segments	Branch
98.9%	1	`re`
98.9%	1	`im`
98.9%	1	`(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))`
98.9%	1	`(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))`
98.9%	1	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
98.9%	1	`(+.f64 (.f64 re re) (.f64 im im))`
98.9%	1	`(*.f64 re re)`
98.9%	1	`(*.f64 im im)`

Compiler

Compiled 60 to 38 computations (36.7% saved)

regimes41.0ms (0.4%)

Memory

-38.3MiB live, 88.7MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

8 calls:

10.0ms	(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
5.0ms	re
5.0ms	(*.f64 im im)
4.0ms	im
4.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))

Results

Accuracy	Segments	Branch
98.6%	1	`re`
98.6%	1	`im`
98.6%	1	`(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))`
98.6%	1	`(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))`
98.6%	1	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
98.6%	1	`(+.f64 (.f64 re re) (.f64 im im))`
98.6%	1	`(*.f64 re re)`
98.6%	1	`(*.f64 im im)`

Compiler

Compiled 60 to 38 computations (36.7% saved)

regimes18.0ms (0.2%)

Memory

7.0MiB live, 46.3MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

8 calls:

3.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))
2.0ms	im
2.0ms	re
2.0ms	(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
2.0ms	(+.f64 (.f64 re re) (.f64 im im))

Results

Accuracy	Segments	Branch
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 im im)`
98.5%	1	`re`
98.5%	1	`(*.f64 re re)`

Compiler

Compiled 60 to 38 computations (36.7% saved)

regimes12.0ms (0.1%)

Memory

-1.3MiB live, 36.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs

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

Outputs

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

Calls

8 calls:

3.0ms	im
1.0ms	(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
1.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))
1.0ms	re
1.0ms	(+.f64 (.f64 re re) (.f64 im im))

Results

Accuracy	Segments	Branch
3.0%	1	`re`
3.0%	1	`im`
3.0%	1	`(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))`
3.0%	1	`(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))`
3.0%	1	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
3.0%	1	`(+.f64 (.f64 re re) (.f64 im im))`
3.0%	1	`(*.f64 re re)`
3.0%	1	`(*.f64 im im)`

Compiler

Compiled 60 to 38 computations (36.7% saved)

simplify6.0ms (0.1%)

Memory

18.0MiB live, 18.0MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	95
1	42	95

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness566.0ms (5.9%)

Memory

7.0MiB live, 473.1MiB allocated

Rules

14 804×	`lower-fma.f64`
14 804×	`lower-fma.f32`
7 512×	`lower-fma.f64`
7 512×	`lower-fma.f32`
6 584×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	189
0	62	151
1	182	138
2	1083	138
0	8497	138
0	1254	12127
1	3895	11801
0	8471	11310
0	10	38
0	17	38
1	44	38
2	251	38
3	2046	38
0	8387	22
0	268	1640
1	730	1596
2	2198	1594
3	5817	1582
0	8414	1470

Stop Event

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

Compiler

Compiled 133 to 80 computations (39.8% saved)

preprocess69.0ms (0.7%)

Memory

2.0MiB live, 132.1MiB allocated

Remove

(sort re im)

(abs re)

(abs im)

Compiler

Compiled 182 to 108 computations (40.7% 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	37	251
0	62	251
1	80	251
2	122	245
3	192	245
4	263	245
5	312	245
6	333	245
7	351	245
8	367	245
9	391	245
10	443	245
11	474	245
12	488	245
13	498	245
14	499	245
0	499	245

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	37	251
0	62	251
1	80	251
2	122	245
3	192	245
4	263	245
5	312	245
6	333	245
7	351	245
8	367	245
9	391	245
10	443	245
11	474	245
12	488	245
13	498	245
14	499	245
0	499	245

start0.0ms (0%)

analyze79.0ms (0.8%)

sample1.1s (11.2%)

explain166.0ms (1.7%)

preprocess22.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize38.0ms (0.4%)

series13.0ms (0.1%)

simplify393.0ms (4.1%)

rewrite409.0ms (4.3%)

eval86.0ms (0.9%)

prune102.0ms (1.1%)

simplify28.0ms (0.3%)

localize121.0ms (1.3%)

series155.0ms (1.6%)

simplify539.0ms (5.6%)

rewrite369.0ms (3.9%)

eval293.0ms (3.1%)

prune242.0ms (2.5%)

simplify96.0ms (1%)

localize202.0ms (2.1%)

series45.0ms (0.5%)

simplify496.0ms (5.2%)

rewrite303.0ms (3.2%)

eval156.0ms (1.6%)

prune237.0ms (2.5%)

simplify602.0ms (6.3%)

localize243.0ms (2.5%)

series115.0ms (1.2%)

simplify579.0ms (6%)

rewrite427.0ms (4.5%)

eval324.0ms (3.4%)

prune712.0ms (7.4%)

regimes114.0ms (1.2%)

regimes85.0ms (0.9%)

regimes41.0ms (0.4%)

regimes18.0ms (0.2%)

regimes12.0ms (0.1%)

simplify6.0ms (0.1%)

soundness566.0ms (5.9%)

preprocess69.0ms (0.7%)

end0.0ms (0%)

Profiling

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

Iter	Nodes	Cost
0	37	251
0	62	251
1	80	251
2	122	245
3	192	245
4	263	245
5	312	245
6	333	245
7	351	245
8	367	245
9	391	245
10	443	245
11	474	245
12	488	245
13	498	245
14	499	245
0	499	245