Metrics for math.log10 on complex, real part

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze60.0ms (1%)

Memory

-3.2MiB live, 116.5MiB 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)

sample948.0ms (15.3%)

Memory

5.8MiB live, 1 305.4MiB allocated

Samples

656.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 452.0ms

ival-log: 215.0ms (47.6% of total)

ival-hypot: 154.0ms (34.1% of total)

ival-div: 68.0ms (15.1% of total)

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

exact: 5.0ms (1.1% of total)

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

Bogosity

explain258.0ms (4.2%)

Memory

21.9MiB live, 183.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
129	-	1	(-6.22969855457494e-161 4.442402809897702e-271)	`(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	113	0
↳	`(+.f64 (.f64 re re) (.f64 im im))`	overflow	113
↳	`(*.f64 re re)`	overflow	66
↳	`(*.f64 im im)`	overflow	64
`sqrt.f64`	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`	uflow-rescue	15	0
↳	`(+.f64 (.f64 re re) (.f64 im im))`	underflow	15
↳	`(*.f64 re re)`	underflow	62
↳	`(*.f64 im im)`	underflow	76

Confusion

	Predicted +	Predicted -
+	128	1
-	0	127

Precision

1.0

Recall

0.9922480620155039

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	128	0	1
-	0	0	127

Precision?

1.0

Recall?

0.9922480620155039

Freqs

test

number	freq
0	128
1	128

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

171.0ms

512×

valid

Compiler

Compiled 110 to 34 computations (69.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 156.0ms

ival-log: 62.0ms (39.8% of total)

ival-hypot: 48.0ms (30.8% of total)

ival-mult: 39.0ms (25.1% of total)

ival-div: 3.0ms (1.9% of total)

ival-add: 2.0ms (1.3% of total)

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

exact: 0.0ms (0% of total)

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

preprocess50.0ms (0.8%)

Memory

-12.5MiB live, 26.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs im)

(abs re)

(sort re im)

Compiler

Compiled 12 to 10 computations (16.7% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.9%	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))

Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify3.0ms (0.1%)

Memory

4.4MiB live, 4.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize60.0ms (1%)

Memory

8.6MiB live, 47.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
accuracy	0	(log.f64 #s(literal 10 binary64))
accuracy	0.5778312988422102	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))
accuracy	29.946545445390665	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Samples

53.0ms

256×

valid

Compiler

Compiled 49 to 12 computations (75.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-log: 35.0ms (76.9% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

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

series48.0ms (0.8%)

Memory

-19.1MiB live, 22.2MiB allocated

Counts

6 → 108

Calls

Call 1

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

Outputs
#s(alt (pow im 2) (taylor 0 re) (#s(alt (+.f64 (.f64 re re) (.f64 im im)) (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (+ (pow im 2) (pow re 2)) (taylor 0 re) (#s(alt (+.f64 (.f64 re re) (.f64 im im)) (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (+ (pow im 2) (pow re 2)) (taylor 0 re) (#s(alt (+.f64 (.f64 re re) (.f64 im im)) (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (+ (pow im 2) (pow re 2)) (taylor 0 re) (#s(alt (+.f64 (.f64 re re) (.f64 im im)) (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (/ (log im) (log 10)) (taylor 0 re) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10))) (taylor 0 re) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) (taylor 0 re) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) (taylor 0 re) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (log im) (taylor 0 re) (#s(alt (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt (+ (log im) (* 1/2 (/ (pow re 2) (pow im 2)))) (taylor 0 re) (#s(alt (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt (+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))) (taylor 0 re) (#s(alt (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt (+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2)))))) (taylor 0 re) (#s(alt (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt (pow re 2) (taylor 0 re) (#s(alt (.f64 re re) (patch (.f64 re re) #<representation binary64>) () ())) ())
#s(alt (pow re 2) (taylor 0 re) (#s(alt (.f64 re re) (patch (.f64 re re) #<representation binary64>) () ())) ())
#s(alt (pow re 2) (taylor 0 re) (#s(alt (.f64 re re) (patch (.f64 re re) #<representation binary64>) () ())) ())
#s(alt (pow re 2) (taylor 0 re) (#s(alt (.f64 re re) (patch (.f64 re re) #<representation binary64>) () ())) ())
#s(alt im (taylor 0 re) (#s(alt (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (+ im (* 1/2 (/ (pow re 2) im))) (taylor 0 re) (#s(alt (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im))))) (taylor 0 re) (#s(alt (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im))))) (taylor 0 re) (#s(alt (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (pow re 2) (taylor inf re) (#s(alt (+.f64 (.f64 re re) (.f64 im im)) (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) (taylor inf re) (#s(alt (+.f64 (.f64 re re) (.f64 im im)) (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) (taylor inf re) (#s(alt (+.f64 (.f64 re re) (.f64 im im)) (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) (taylor inf re) (#s(alt (+.f64 (.f64 re re) (.f64 im im)) (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log (/ 1 re)) (log 10))) (taylor inf re) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log (/ 1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))) (taylor inf re) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))) (taylor inf re) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))) (taylor inf re) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 re))) (taylor inf re) (#s(alt (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2)))) (taylor inf re) (#s(alt (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))) (taylor inf re) (#s(alt (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))) (taylor inf re) (#s(alt (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt (pow re 2) (taylor inf re) (#s(alt (.f64 re re) (patch (.f64 re re) #<representation binary64>) () ())) ())
#s(alt (pow re 2) (taylor inf re) (#s(alt (.f64 re re) (patch (.f64 re re) #<representation binary64>) () ())) ())
#s(alt (pow re 2) (taylor inf re) (#s(alt (.f64 re re) (patch (.f64 re re) #<representation binary64>) () ())) ())
#s(alt (pow re 2) (taylor inf re) (#s(alt (.f64 re re) (patch (.f64 re re) #<representation binary64>) () ())) ())
#s(alt re (taylor inf re) (#s(alt (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))) (taylor inf re) (#s(alt (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))) (taylor inf re) (#s(alt (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))) (taylor inf re) (#s(alt (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (pow re 2) (taylor -inf re) (#s(alt (+.f64 (.f64 re re) (.f64 im im)) (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) (taylor -inf re) (#s(alt (+.f64 (.f64 re re) (.f64 im im)) (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) (taylor -inf re) (#s(alt (+.f64 (.f64 re re) (.f64 im im)) (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) (taylor -inf re) (#s(alt (+.f64 (.f64 re re) (.f64 im im)) (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log (/ -1 re)) (log 10))) (taylor -inf re) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log (/ -1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))) (taylor -inf re) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log (/ -1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))) (taylor -inf re) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log (/ -1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))) (taylor -inf re) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ -1 re))) (taylor -inf re) (#s(alt (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2)))) (taylor -inf re) (#s(alt (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))) (taylor -inf re) (#s(alt (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))) (taylor -inf re) (#s(alt (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt (pow re 2) (taylor -inf re) (#s(alt (.f64 re re) (patch (.f64 re re) #<representation binary64>) () ())) ())
#s(alt (pow re 2) (taylor -inf re) (#s(alt (.f64 re re) (patch (.f64 re re) #<representation binary64>) () ())) ())
#s(alt (pow re 2) (taylor -inf re) (#s(alt (.f64 re re) (patch (.f64 re re) #<representation binary64>) () ())) ())
#s(alt (pow re 2) (taylor -inf re) (#s(alt (.f64 re re) (patch (.f64 re re) #<representation binary64>) () ())) ())
#s(alt (* -1 re) (taylor -inf re) (#s(alt (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))) (taylor -inf re) (#s(alt (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))) (taylor -inf re) (#s(alt (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))) (taylor -inf re) (#s(alt (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (pow re 2) (taylor 0 im) (#s(alt (+.f64 (.f64 re re) (.f64 im im)) (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (+ (pow im 2) (pow re 2)) (taylor 0 im) (#s(alt (+.f64 (.f64 re re) (.f64 im im)) (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (+ (pow im 2) (pow re 2)) (taylor 0 im) (#s(alt (+.f64 (.f64 re re) (.f64 im im)) (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (+ (pow im 2) (pow re 2)) (taylor 0 im) (#s(alt (+.f64 (.f64 re re) (.f64 im im)) (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (/ (log re) (log 10)) (taylor 0 im) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))) (/ (log re) (log 10))) (taylor 0 im) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log 10)))) (* 1/2 (/ 1 (* (pow re 2) (log 10)))))) (/ (log re) (log 10))) (taylor 0 im) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log 10)))) (* 1/4 (/ 1 (* (pow re 4) (log 10)))))) (* 1/2 (/ 1 (* (pow re 2) (log 10)))))) (/ (log re) (log 10))) (taylor 0 im) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (log re) (taylor 0 im) (#s(alt (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt (+ (log re) (* 1/2 (/ (pow im 2) (pow re 2)))) (taylor 0 im) (#s(alt (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt (+ (log re) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2)))))) (taylor 0 im) (#s(alt (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt (+ (log re) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (pow re 6))) (* 1/4 (/ 1 (pow re 4))))) (* 1/2 (/ 1 (pow re 2)))))) (taylor 0 im) (#s(alt (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt re (taylor 0 im) (#s(alt (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (+ re (* 1/2 (/ (pow im 2) re))) (taylor 0 im) (#s(alt (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re))))) (taylor 0 im) (#s(alt (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re))))) (taylor 0 im) (#s(alt (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (pow im 2) (taylor inf im) (#s(alt (+.f64 (.f64 re re) (.f64 im im)) (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))) (taylor inf im) (#s(alt (+.f64 (.f64 re re) (.f64 im im)) (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))) (taylor inf im) (#s(alt (+.f64 (.f64 re re) (.f64 im im)) (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))) (taylor inf im) (#s(alt (+.f64 (.f64 re re) (.f64 im im)) (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log (/ 1 im)) (log 10))) (taylor inf im) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log (/ 1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))) (taylor inf im) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log (/ 1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))) (taylor inf im) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log (/ 1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))) (taylor inf im) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 im))) (taylor inf im) (#s(alt (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2)))) (taylor inf im) (#s(alt (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))) (taylor inf im) (#s(alt (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))) (taylor inf im) (#s(alt (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt im (taylor inf im) (#s(alt (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))) (taylor inf im) (#s(alt (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))) (taylor inf im) (#s(alt (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))) (taylor inf im) (#s(alt (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (pow im 2) (taylor -inf im) (#s(alt (+.f64 (.f64 re re) (.f64 im im)) (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))) (taylor -inf im) (#s(alt (+.f64 (.f64 re re) (.f64 im im)) (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))) (taylor -inf im) (#s(alt (+.f64 (.f64 re re) (.f64 im im)) (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2)))) (taylor -inf im) (#s(alt (+.f64 (.f64 re re) (.f64 im im)) (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log (/ -1 im)) (log 10))) (taylor -inf im) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log (/ -1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))) (taylor -inf im) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))) (taylor -inf im) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))) (taylor -inf im) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ -1 im))) (taylor -inf im) (#s(alt (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2)))) (taylor -inf im) (#s(alt (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))) (taylor -inf im) (#s(alt (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))) (taylor -inf im) (#s(alt (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt (* -1 im) (taylor -inf im) (#s(alt (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))) (taylor -inf im) (#s(alt (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))) (taylor -inf im) (#s(alt (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))) (taylor -inf im) (#s(alt (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
36.0ms	re	@	0	((+ (* re re) (* im im)) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (* re re) (sqrt (+ (* re re) (* im im))) (log 10))
3.0ms	re	@	inf	((+ (* re re) (* im im)) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (* re re) (sqrt (+ (* re re) (* im im))) (log 10))
2.0ms	im	@	0	((+ (* re re) (* im im)) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (* re re) (sqrt (+ (* re re) (* im im))) (log 10))
2.0ms	im	@	inf	((+ (* re re) (* im im)) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (* re re) (sqrt (+ (* re re) (* im im))) (log 10))
1.0ms	re	@	-inf	((+ (* re re) (* im im)) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (* re re) (sqrt (+ (* re re) (* im im))) (log 10))

simplify288.0ms (4.6%)

Memory

-28.4MiB live, 181.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 104

Calls

Call 1

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

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

rewrite192.0ms (3.1%)

Memory

12.6MiB live, 204.7MiB 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	41
0	17	41
1	44	41
2	251	41
3	2046	41
0	8387	25

Stop Event

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

Counts

6 → 317

Calls

Call 1

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

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

eval94.0ms (1.5%)

Memory: 13.9MiB live, 95.9MiB allocated
Compiler: Compiled 10 557 to 1 829 computations (82.7% saved)

prune46.0ms (0.7%)

Memory

-10.4MiB live, 66.4MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	406	15	421
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	407	15	422

Accuracy

100.0%

Counts

422 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	75.7%	(pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	76.2%	(pow.f64 (*.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #s(literal -1/2 binary64))
▶	98.6%	(/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)))
	99.0%	(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))))
	99.0%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re)))) (.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1 binary64))) (*.f64 (log.f64 #s(literal 1/10 binary64)) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re)))))
	50.9%	(/.f64 (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
▶	99.0%	(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64)))
▶	99.1%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
	18.8%	(/.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (-.f64 re im) (+.f64 im re))) (.f64 (.f64 (-.f64 re im) (+.f64 im re)) (pow.f64 im #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (*.f64 (-.f64 re im) (+.f64 im re)) #s(literal 2 binary64))))) (log.f64 #s(literal 10 binary64)))
	50.9%	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
▶	98.6%	(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
	99.0%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))))
	99.1%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re))))
	26.3%	(-.f64 (/.f64 (log.f64 (hypot.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) (log.f64 #s(literal 10 binary64))) (/.f64 (log.f64 (sqrt.f64 (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64))))) (log.f64 #s(literal 10 binary64))))
▶	75.2%	(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #s(literal -1 binary64)))

Compiler

Compiled 440 to 340 computations (22.7% saved)

simplify21.0ms (0.3%)

Memory

2.9MiB live, 41.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

140×	`lower-*.f32`
138×	`lower-*.f64`
120×	`lower-fma.f64`
120×	`lower-fma.f32`
102×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	150
0	48	142
1	63	141
2	81	141
3	100	141
4	128	141
5	178	141
6	263	141
7	371	141
8	414	141
9	432	141
10	446	141
11	459	141
12	468	141
13	476	141
14	480	141
0	480	141

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

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

localize135.0ms (2.2%)

Memory

1.8MiB live, 245.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(log.f64 #s(literal 10 binary64))
accuracy	0.05859375	(log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))))
accuracy	0.47302631837909415	(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))
accuracy	0.8397918700425032	(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #s(literal -1 binary64)))
accuracy	0	(log.f64 #s(literal 10 binary64))
accuracy	0.2109375	(/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)))
accuracy	0.2421875	(pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))
accuracy	0.765625	(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64))
accuracy	0	(neg.f64 (log.f64 (hypot.f64 im re)))
accuracy	0	(log.f64 (hypot.f64 im re))
accuracy	0.43492128907376804	(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64)))
accuracy	0.765625	(log.f64 #s(literal 1/10 binary64))
accuracy	0	(log.f64 im)
accuracy	0	(log.f64 #s(literal 10 binary64))
accuracy	0.29415276106974453	#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
accuracy	0.43492128907376804	(/.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	0.43492128907376804	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))

Samples

60.0ms	196×	0	valid
16.0ms	60×	0	invalid

Compiler

Compiled 241 to 24 computations (90% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-log: 17.0ms (33% of total)

const: 10.0ms (19.4% of total)

ival-hypot: 8.0ms (15.5% of total)

ival-div: 7.0ms (13.6% of total)

ival-pow: 5.0ms (9.7% of total)

ival-exp: 2.0ms (3.9% of total)

ival-mult: 2.0ms (3.9% of total)

ival-neg: 1.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

series111.0ms (1.8%)

Memory

14.2MiB live, 248.6MiB allocated

Counts

19 → 372

Calls

Call 1

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

Outputs
#s(alt (/ (log im) (log 10)) (taylor 0 re) (#s(alt (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10))) (taylor 0 re) (#s(alt (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) (taylor 0 re) (#s(alt (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) (taylor 0 re) (#s(alt (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (log im) (taylor 0 re) (#s(alt (log.f64 (hypot.f64 re im)) (patch (log.f64 (hypot.f64 re im)) #<representation binary64>) () ())) ())
#s(alt (+ (log im) (* 1/2 (/ (pow re 2) (pow im 2)))) (taylor 0 re) (#s(alt (log.f64 (hypot.f64 re im)) (patch (log.f64 (hypot.f64 re im)) #<representation binary64>) () ())) ())
#s(alt (+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))) (taylor 0 re) (#s(alt (log.f64 (hypot.f64 re im)) (patch (log.f64 (hypot.f64 re im)) #<representation binary64>) () ())) ())
#s(alt (+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2)))))) (taylor 0 re) (#s(alt (log.f64 (hypot.f64 re im)) (patch (log.f64 (hypot.f64 re im)) #<representation binary64>) () ())) ())
#s(alt im (taylor 0 re) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt (+ im (* 1/2 (/ (pow re 2) im))) (taylor 0 re) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt (+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im))))) (taylor 0 re) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt (+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im))))) (taylor 0 re) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt (/ (log im) (log 10)) (taylor 0 re) (#s(alt (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10))) (taylor 0 re) (#s(alt (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) (taylor 0 re) (#s(alt (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) (taylor 0 re) (#s(alt (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (log im) (taylor 0 re) (#s(alt #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (patch #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (log im) (* 1/2 (/ (pow re 2) (pow im 2)))) (taylor 0 re) (#s(alt #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (patch #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))) (taylor 0 re) (#s(alt #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (patch #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2)))))) (taylor 0 re) (#s(alt #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (patch #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log im) (log 1/10))) (taylor 0 re) (#s(alt (/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64))) (patch (/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log im) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10))))) (taylor 0 re) (#s(alt (/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64))) (patch (/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (* (pow im 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10))))))) (taylor 0 re) (#s(alt (/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64))) (patch (/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (* (pow im 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow im 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10))))))) (taylor 0 re) (#s(alt (/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64))) (patch (/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log im)) (taylor 0 re) (#s(alt (neg.f64 (log.f64 (hypot.f64 im re))) (patch (neg.f64 (log.f64 (hypot.f64 im re))) #<representation binary64>) () ())) ())
#s(alt (- (* -1/2 (/ (pow re 2) (pow im 2))) (log im)) (taylor 0 re) (#s(alt (neg.f64 (log.f64 (hypot.f64 im re))) (patch (neg.f64 (log.f64 (hypot.f64 im re))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow re 2) (- (* 1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))) (log im)) (taylor 0 re) (#s(alt (neg.f64 (log.f64 (hypot.f64 im re))) (patch (neg.f64 (log.f64 (hypot.f64 im re))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2))))) (log im)) (taylor 0 re) (#s(alt (neg.f64 (log.f64 (hypot.f64 im re))) (patch (neg.f64 (log.f64 (hypot.f64 im re))) #<representation binary64>) () ())) ())
#s(alt (log im) (taylor 0 re) (#s(alt (log.f64 (hypot.f64 im re)) (patch (log.f64 (hypot.f64 im re)) #<representation binary64>) () ())) ())
#s(alt (+ (log im) (* 1/2 (/ (pow re 2) (pow im 2)))) (taylor 0 re) (#s(alt (log.f64 (hypot.f64 im re)) (patch (log.f64 (hypot.f64 im re)) #<representation binary64>) () ())) ())
#s(alt (+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))) (taylor 0 re) (#s(alt (log.f64 (hypot.f64 im re)) (patch (log.f64 (hypot.f64 im re)) #<representation binary64>) () ())) ())
#s(alt (+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2)))))) (taylor 0 re) (#s(alt (log.f64 (hypot.f64 im re)) (patch (log.f64 (hypot.f64 im re)) #<representation binary64>) () ())) ())
#s(alt im (taylor 0 re) (#s(alt (hypot.f64 im re) (patch (hypot.f64 im re) #<representation binary64>) () ())) ())
#s(alt (+ im (* 1/2 (/ (pow re 2) im))) (taylor 0 re) (#s(alt (hypot.f64 im re) (patch (hypot.f64 im re) #<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 im re) (patch (hypot.f64 im re) #<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 im re) (patch (hypot.f64 im re) #<representation binary64>) () ())) ())
#s(alt (/ (log im) (log 10)) (taylor 0 re) (#s(alt (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10))) (taylor 0 re) (#s(alt (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))) #<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 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))) #<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 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (log im)) (taylor 0 re) (#s(alt (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)) (patch (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log im) 2)))) (/ 1 (log im))) (taylor 0 re) (#s(alt (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)) (patch (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow re 2) (- (* (pow re 2) (+ (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 2)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 3)))))) (* 1/2 (/ 1 (* (pow im 2) (pow (log im) 2)))))) (/ 1 (log im))) (taylor 0 re) (#s(alt (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)) (patch (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow re 2) (- (* (pow re 2) (+ (* -1 (* (pow re 2) (+ (* 1/8 (/ 1 (* (pow im 6) (pow (log im) 3)))) (+ (* 1/6 (/ 1 (* (pow im 6) (pow (log im) 2)))) (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 2)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 3))))) (* (pow im 2) (log im)))))))) (+ (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 2)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ 1 (* (pow im 2) (pow (log im) 2)))))) (/ 1 (log im))) (taylor 0 re) (#s(alt (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)) (patch (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (log im) (log 10)) (taylor 0 re) (#s(alt (exp.f64 (.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (log (* -1 (/ (log 10) (log (/ -1 im)))))) (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im))))) (+ (* -1/24 (/ (+ (* -3 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 24 (/ (* (log (/ -1 im)) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log 10)))) (pow im 4))) (* -1/720 (/ (+ (* -360 (/ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log 10))) (+ (* 30 (/ (pow re 6) (pow (log (/ -1 im)) 3))) (* 720 (/ (* (log (/ -1 im)) (+ (* -1/8 (/ (* (pow re 6) (log 10)) (pow (log (/ -1 im)) 3))) (+ (* 1/720 (/ (* (log 10) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow (log (/ -1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log (/ -1 im))))))) (log 10))))) (pow im 6)))))) (taylor -inf im) (#s(alt (.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #s(literal -1 binary64)) (patch (.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (log (* -1 (/ (log 10) (log (/ -1 im))))) (taylor -inf im) (#s(alt (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) (patch (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1 (/ (log 10) (log (/ -1 im))))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im)))))) (taylor -inf im) (#s(alt (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) (patch (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1 (/ (log 10) (log (/ -1 im))))) (+ (* 1/24 (/ (+ (* -3 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 24 (/ (* (log (/ -1 im)) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log 10)))) (pow im 4))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im))))))) (taylor -inf im) (#s(alt (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) (patch (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1 (/ (log 10) (log (/ -1 im))))) (+ (* 1/720 (/ (+ (* -360 (/ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log 10))) (+ (* 30 (/ (pow re 6) (pow (log (/ -1 im)) 3))) (* 720 (/ (* (log (/ -1 im)) (+ (* -1/8 (/ (* (pow re 6) (log 10)) (pow (log (/ -1 im)) 3))) (+ (* 1/720 (/ (* (log 10) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow (log (/ -1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log (/ -1 im))))))) (log 10))))) (pow im 6))) (+ (* 1/24 (/ (+ (* -3 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 24 (/ (* (log (/ -1 im)) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log 10)))) (pow im 4))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im)))))))) (taylor -inf im) (#s(alt (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) (patch (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log 10) (log (/ -1 im)))) (taylor -inf im) (#s(alt (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) (patch (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log 10) (log (/ -1 im)))) (* -1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ -1 im)) 2))))) (taylor -inf im) (#s(alt (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) (patch (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ (log 10) (log (/ -1 im)))) (* -1 (/ (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3)))) (pow im 4)))) (* 1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ -1 im)) 2))))) (taylor -inf im) (#s(alt (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) (patch (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ (log 10) (log (/ -1 im)))) (* -1 (/ (+ (* -1/8 (/ (* (pow re 6) (log 10)) (pow (log (/ -1 im)) 3))) (+ (* 1/720 (/ (* (log 10) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow (log (/ -1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log (/ -1 im)))))) (pow im 6)))) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (* (pow im 4) (pow (log (/ -1 im)) 2)))) (+ (* 1/4 (/ (* (pow re 4) (log 10)) (* (pow im 4) (pow (log (/ -1 im)) 3)))) (* 1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ -1 im)) 2))))))) (taylor -inf im) (#s(alt (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) (patch (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
41.0ms	im	@	0	((/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (log 10) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (log im) (/ (neg (log (sqrt (+ (* im im) (* re re))))) (log 1/10)) (neg (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (/ (pow (log 10) -1) (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (pow (log 10) -1) (pow (log (sqrt (+ (* im im) (* re re)))) -1) (exp (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1)) (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) (log 1/10))
16.0ms	im	@	-inf	((/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (log 10) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (log im) (/ (neg (log (sqrt (+ (* im im) (* re re))))) (log 1/10)) (neg (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (/ (pow (log 10) -1) (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (pow (log 10) -1) (pow (log (sqrt (+ (* im im) (* re re)))) -1) (exp (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1)) (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) (log 1/10))
15.0ms	im	@	inf	((/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (log 10) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (log im) (/ (neg (log (sqrt (+ (* im im) (* re re))))) (log 1/10)) (neg (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (/ (pow (log 10) -1) (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (pow (log 10) -1) (pow (log (sqrt (+ (* im im) (* re re)))) -1) (exp (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1)) (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) (log 1/10))
11.0ms	re	@	inf	((/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (log 10) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (log im) (/ (neg (log (sqrt (+ (* im im) (* re re))))) (log 1/10)) (neg (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (/ (pow (log 10) -1) (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (pow (log 10) -1) (pow (log (sqrt (+ (* im im) (* re re)))) -1) (exp (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1)) (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) (log 1/10))
5.0ms	re	@	0	((/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (log 10) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (log im) (/ (neg (log (sqrt (+ (* im im) (* re re))))) (log 1/10)) (neg (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (/ (pow (log 10) -1) (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (pow (log 10) -1) (pow (log (sqrt (+ (* im im) (* re re)))) -1) (exp (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1)) (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) (log 1/10))

simplify313.0ms (5.1%)

Memory

23.7MiB live, 334.4MiB allocated

Algorithm

1×	egg-herbie

Rules

9 724×	`lower-fma.f64`
9 724×	`lower-fma.f32`
7 738×	`lower-*.f64`
7 738×	`lower-*.f32`
5 356×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1064	12258
1	3243	11900
0	8927	11346

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 364

Calls

Call 1

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

Outputs
(/ (log im) (log 10))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10)))
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(log im)
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(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))
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im
(+ im (* 1/2 (/ (pow re 2) im)))
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(/ (log im) (log 10))
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(log im)
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(* -1 (/ (log im) (log 1/10)))
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(* -1 (log im))
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(log im)
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im
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(/ (log im) (log 10))
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(/ 1 (log im))
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(log (* -1 (/ (log 10) (log (/ -1 im)))))
(log.f64 (/.f64 (neg.f64 (log.f64 #s(literal 10 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(+ (log (* -1 (/ (log 10) (log (/ -1 im))))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im))))))
(fma.f64 (/.f64 (.f64 re re) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (*.f64 im im))) #s(literal 1/2 binary64) (log.f64 (/.f64 (neg.f64 (log.f64 #s(literal 10 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)))))
(+ (log (* -1 (/ (log 10) (log (/ -1 im))))) (+ (* 1/24 (/ (+ (* -3 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 24 (/ (* (log (/ -1 im)) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log 10)))) (pow im 4))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im)))))))
(fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 10 binary64))) #s(literal 24 binary64) (/.f64 (.f64 #s(literal -3 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/24 binary64) (fma.f64 (/.f64 (.f64 re re) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (.f64 im im))) #s(literal 1/2 binary64) (log.f64 (/.f64 (neg.f64 (log.f64 #s(literal 10 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im))))))
(+ (log (* -1 (/ (log 10) (log (/ -1 im))))) (+ (* 1/720 (/ (+ (* -360 (/ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log 10))) (+ (* 30 (/ (pow re 6) (pow (log (/ -1 im)) 3))) (* 720 (/ (* (log (/ -1 im)) (+ (* -1/8 (/ (* (pow re 6) (log 10)) (pow (log (/ -1 im)) 3))) (+ (* 1/720 (/ (* (log 10) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow (log (/ -1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log (/ -1 im))))))) (log 10))))) (pow im 6))) (+ (* 1/24 (/ (+ (* -3 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 24 (/ (* (log (/ -1 im)) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log 10)))) (pow im 4))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im))))))))
(fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 720 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) im))) (fma.f64 (.f64 #s(literal 1/720 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (log.f64 #s(literal 10 binary64))) (pow.f64 re #s(literal 6 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))))) (log.f64 #s(literal 10 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 -360 binary64) (.f64 re re)) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (log.f64 #s(literal 10 binary64)))))) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/720 binary64) (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 10 binary64))) #s(literal 24 binary64) (/.f64 (.f64 #s(literal -3 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/24 binary64) (fma.f64 (/.f64 (.f64 re re) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (.f64 im im))) #s(literal 1/2 binary64) (log.f64 (/.f64 (neg.f64 (log.f64 #s(literal 10 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)))))))
(* -1 (/ (log 10) (log (/ -1 im))))
(/.f64 (neg.f64 (log.f64 #s(literal 10 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+ (* -1 (/ (log 10) (log (/ -1 im)))) (* -1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ -1 im)) 2)))))
(fma.f64 (/.f64 (.f64 (/.f64 (log.f64 #s(literal 10 binary64)) im) (/.f64 (.f64 re re) im)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (neg.f64 (log.f64 #s(literal 10 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(- (+ (* -1 (/ (log 10) (log (/ -1 im)))) (* -1 (/ (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3)))) (pow im 4)))) (* 1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ -1 im)) 2)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (pow.f64 im #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 (.f64 (/.f64 (log.f64 #s(literal 10 binary64)) im) (/.f64 (*.f64 re re) im)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (neg.f64 (log.f64 #s(literal 10 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)))))
(- (+ (* -1 (/ (log 10) (log (/ -1 im)))) (* -1 (/ (+ (* -1/8 (/ (* (pow re 6) (log 10)) (pow (log (/ -1 im)) 3))) (+ (* 1/720 (/ (* (log 10) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow (log (/ -1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log (/ -1 im)))))) (pow im 6)))) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (* (pow im 4) (pow (log (/ -1 im)) 2)))) (+ (* 1/4 (/ (* (pow re 4) (log 10)) (* (pow im 4) (pow (log (/ -1 im)) 3)))) (* 1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ -1 im)) 2)))))))
(-.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) im))) (fma.f64 (.f64 #s(literal 1/720 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (log.f64 #s(literal 10 binary64))) (pow.f64 re #s(literal 6 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))))) (neg.f64 (pow.f64 im #s(literal 6 binary64)))) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) (fma.f64 (/.f64 (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 (/.f64 (log.f64 #s(literal 10 binary64)) im) (/.f64 (.f64 re re) im)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))

rewrite246.0ms (4%)

Memory

-8.7MiB live, 353.4MiB allocated

Rules

3 554×	`lower-fma.f64`
3 554×	`lower-fma.f32`
3 468×	`lower-*.f32`
3 466×	`lower-*.f64`
2 118×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	114
0	48	105
1	136	104
2	642	103
3	5365	103
0	8214	103

Stop Event

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

Counts

19 → 1 351

Calls

Call 1

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

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

eval745.0ms (12%)

Memory: -217.7MiB live, 734.7MiB allocated
Compiler: Compiled 46 540 to 5 626 computations (87.9% saved)

prune53.0ms (0.9%)

Memory

23.3MiB live, 185.6MiB allocated

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	2 219	10	2 229
Fresh	9	1	10
Picked	2	3	5
Done	0	0	0
Total	2 230	14	2 244

Accuracy

100.0%

Counts

2 244 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	75.7%	(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	75.7%	(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) #s(literal -1/2 binary64)) #s(literal -2 binary64))
▶	98.2%	(/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) #s(approx (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))))
▶	99.0%	(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))))
	99.0%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) (log.f64 #s(literal 1/10 binary64)))
	50.9%	(/.f64 (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
✓	99.0%	(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64)))
▶	98.6%	(/.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)))
✓	98.6%	(/.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))))
	98.6%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
	99.0%	(.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
▶	74.7%	(exp.f64 #s(approx (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (neg.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))))))

Compiler

Compiled 243 to 242 computations (0.4% saved)

simplify22.0ms (0.4%)

Memory

-44.0MiB live, 20.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

140×	`lower-*.f64`
140×	`lower-*.f32`
116×	`lower-fma.f64`
116×	`lower-fma.f32`
100×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	236
0	60	206
1	76	204
2	99	200
3	134	199
4	191	199
5	277	199
6	341	199
7	392	199
8	415	199
9	429	199
10	448	199
11	452	199
0	452	199

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize123.0ms (2%)

Memory

11.0MiB live, 248.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0546875	(log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)))
accuracy	0.2682871991367143	#s(approx (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (neg.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)))))
accuracy	0.47693256837909415	(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))
accuracy	0.8397918700425032	(exp.f64 #s(approx (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (neg.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))))))
accuracy	0.2109375	(/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) #s(approx (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))))
accuracy	0.23828125	(/.f64 #s(literal 1 binary64) (log.f64 im))
accuracy	0.2853903872100809	#s(approx (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im)))
accuracy	0.765625	(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64))
accuracy	0	(log.f64 #s(literal 10 binary64))
accuracy	0.203125	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
accuracy	0.29415276106974453	#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
accuracy	0.47302631837909415	(/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
accuracy	0	(log.f64 im)
accuracy	0.29415276106974453	#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
accuracy	0.43492128907376804	(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))
accuracy	0.765625	(log.f64 #s(literal 1/10 binary64))
accuracy	0.2109375	(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))))
accuracy	0.2421875	(/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))
accuracy	0.765625	(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64))
accuracy	0.765625	(log.f64 #s(literal 1/10 binary64))

Samples

80.0ms	196×	0	valid
22.0ms	60×	0	invalid

Compiler

Compiled 234 to 33 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-log: 38.0ms (46.4% of total)

ival-div: 13.0ms (15.9% of total)

ival-pow: 10.0ms (12.2% of total)

ival-hypot: 9.0ms (11% of total)

const: 4.0ms (4.9% of total)

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

ival-exp: 2.0ms (2.4% of total)

ival-mult: 2.0ms (2.4% of total)

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

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

exact: 0.0ms (0% of total)

series179.0ms (2.9%)

Memory

24.1MiB live, 296.9MiB allocated

Counts

20 → 324

Calls

Call 1

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

Outputs
#s(alt (* -1 (/ (log im) (log 1/10))) (taylor 0 re) (#s(alt (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) (patch (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log im) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10))))) (taylor 0 re) (#s(alt (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) (patch (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (* (pow im 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10))))))) (taylor 0 re) (#s(alt (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) (patch (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (* (pow im 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow im 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10))))))) (taylor 0 re) (#s(alt (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) (patch (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (log im)) (taylor 0 re) (#s(alt (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))) (patch (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log im) 2)))) (/ 1 (log im))) (taylor 0 re) (#s(alt (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))) (patch (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow re 2) (+ (* -1 (* (pow re 2) (+ (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 2)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ 1 (* (pow im 2) (pow (log im) 2)))))) (/ 1 (log im))) (taylor 0 re) (#s(alt (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))) (patch (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow re 2) (+ (* (pow re 2) (- (* (pow re 2) (- (+ (* 1/8 (/ 1 (* (pow im 6) (pow (log im) 3)))) (* 1/6 (/ 1 (* (pow im 6) (pow (log im) 2))))) (* -1/2 (/ (+ (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 2)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 3))))) (* (pow im 2) (log im)))))) (+ (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 2)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ 1 (* (pow im 2) (pow (log im) 2)))))) (/ 1 (log im))) (taylor 0 re) (#s(alt (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))) (patch (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log im) (log 1/10))) (taylor 0 re) (#s(alt (/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) (patch (/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log im) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10))))) (taylor 0 re) (#s(alt (/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) (patch (/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (* (pow im 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10))))))) (taylor 0 re) (#s(alt (/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) (patch (/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (* (pow im 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow im 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10))))))) (taylor 0 re) (#s(alt (/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) (patch (/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log im)) (taylor 0 re) (#s(alt (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (patch (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #<representation binary64>) () ())) ())
#s(alt (- (* -1/2 (/ (pow re 2) (pow im 2))) (log im)) (taylor 0 re) (#s(alt (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (patch (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow re 2) (- (* 1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))) (log im)) (taylor 0 re) (#s(alt (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (patch (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2))))) (log im)) (taylor 0 re) (#s(alt (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (patch (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #<representation binary64>) () ())) ())
#s(alt (log im) (taylor 0 re) (#s(alt #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (patch #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (log im) (* 1/2 (/ (pow re 2) (pow im 2)))) (taylor 0 re) (#s(alt #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (patch #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))) (taylor 0 re) (#s(alt #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (patch #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2)))))) (taylor 0 re) (#s(alt #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (patch #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #<representation binary64>) () ())) ())
#s(alt (/ (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>) () ())) ())
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#s(alt (+ (* -1 (/ (log (/ -1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))) (taylor -inf im) (#s(alt (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) #s(approx (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im)))) (patch (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) #s(approx (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im)))) #<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 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) #s(approx (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im)))) (patch (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) #s(approx (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im)))) #<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 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) #s(approx (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im)))) (patch (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) #s(approx (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im)))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (log (/ -1 im))) (taylor -inf im) (#s(alt #s(approx (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))) (patch #s(approx (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))) #<representation binary64>) () ())) ())
#s(alt (- (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (/ 1 (log (/ -1 im)))) (taylor -inf im) (#s(alt #s(approx (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))) (patch #s(approx (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ (* -1/4 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (pow re 4) (pow (log (/ -1 im)) 3)))) (pow im 4))) (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (/ 1 (log (/ -1 im))))) (taylor -inf im) (#s(alt #s(approx (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))) (patch #s(approx (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ (* -1/8 (/ (pow re 6) (pow (log (/ -1 im)) 3))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow (log (/ -1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (pow re 4) (pow (log (/ -1 im)) 3))))) (log (/ -1 im)))))) (pow im 6))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 2)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 3)))) (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (/ 1 (log (/ -1 im))))))) (taylor -inf im) (#s(alt #s(approx (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))) (patch #s(approx (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log (/ -1 im)) (log 10))) (taylor -inf im) (#s(alt (exp.f64 #s(approx (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (neg.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)))))) (patch (exp.f64 #s(approx (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (neg.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)))))) #<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 (exp.f64 #s(approx (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (neg.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)))))) (patch (exp.f64 #s(approx (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (neg.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)))))) #<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 (exp.f64 #s(approx (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (neg.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)))))) (patch (exp.f64 #s(approx (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (neg.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)))))) #<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 (exp.f64 #s(approx (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (neg.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)))))) (patch (exp.f64 #s(approx (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (neg.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (* -1 (/ (log 10) (log (/ -1 im)))))) (taylor -inf im) (#s(alt #s(approx (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (neg.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))))) (patch #s(approx (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (neg.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (* -1 (/ (log 10) (log (/ -1 im)))))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im)))))) (taylor -inf im) (#s(alt #s(approx (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (neg.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))))) (patch #s(approx (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (neg.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (* -1 (/ (log 10) (log (/ -1 im)))))) (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im))))) (* -1/24 (/ (+ (* -3 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 24 (/ (* (log (/ -1 im)) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log 10)))) (pow im 4))))) (taylor -inf im) (#s(alt #s(approx (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (neg.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))))) (patch #s(approx (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (neg.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (* -1 (/ (log 10) (log (/ -1 im)))))) (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im))))) (+ (* -1/24 (/ (+ (* -3 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 24 (/ (* (log (/ -1 im)) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log 10)))) (pow im 4))) (* -1/720 (/ (+ (* -360 (/ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log 10))) (+ (* 30 (/ (pow re 6) (pow (log (/ -1 im)) 3))) (* 720 (/ (* (log (/ -1 im)) (+ (* -1/8 (/ (* (pow re 6) (log 10)) (pow (log (/ -1 im)) 3))) (+ (* 1/720 (/ (* (log 10) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow (log (/ -1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log (/ -1 im))))))) (log 10))))) (pow im 6)))))) (taylor -inf im) (#s(alt #s(approx (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (neg.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))))) (patch #s(approx (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (neg.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ (log 10) (+ (log -1) (* -1 (log (/ -1 im))))))) (taylor -inf im) (#s(alt (neg.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)))) (patch (neg.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ (log 10) (+ (log -1) (* -1 (log (/ -1 im))))))) (taylor -inf im) (#s(alt (neg.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)))) (patch (neg.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ (log 10) (+ (log -1) (* -1 (log (/ -1 im))))))) (taylor -inf im) (#s(alt (neg.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)))) (patch (neg.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ (log 10) (+ (log -1) (* -1 (log (/ -1 im))))))) (taylor -inf im) (#s(alt (neg.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)))) (patch (neg.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)))) #<representation binary64>) () ())) ())
#s(alt (log (/ (log 10) (+ (log -1) (* -1 (log (/ -1 im)))))) (taylor -inf im) (#s(alt (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))) (patch (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))) #<representation binary64>) () ())) ())
#s(alt (log (/ (log 10) (+ (log -1) (* -1 (log (/ -1 im)))))) (taylor -inf im) (#s(alt (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))) (patch (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))) #<representation binary64>) () ())) ())
#s(alt (log (/ (log 10) (+ (log -1) (* -1 (log (/ -1 im)))))) (taylor -inf im) (#s(alt (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))) (patch (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))) #<representation binary64>) () ())) ())
#s(alt (log (/ (log 10) (+ (log -1) (* -1 (log (/ -1 im)))))) (taylor -inf im) (#s(alt (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))) (patch (log.f64 (/.f64 (log.f64 #s(literal 10 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 10) (+ (log -1) (* -1 (log (/ -1 im))))) (taylor -inf im) (#s(alt (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)) (patch (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)) #<representation binary64>) () ())) ())
#s(alt (/ (log 10) (+ (log -1) (* -1 (log (/ -1 im))))) (taylor -inf im) (#s(alt (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)) (patch (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)) #<representation binary64>) () ())) ())
#s(alt (/ (log 10) (+ (log -1) (* -1 (log (/ -1 im))))) (taylor -inf im) (#s(alt (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)) (patch (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)) #<representation binary64>) () ())) ())
#s(alt (/ (log 10) (+ (log -1) (* -1 (log (/ -1 im))))) (taylor -inf im) (#s(alt (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)) (patch (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
84.0ms	im	@	0	((/ (pow (log 1/10) -1) (/ -1 (log (sqrt (+ (* im im) (* re re)))))) (pow (log 1/10) -1) (log 1/10) (/ -1 (log (sqrt (+ (* im im) (* re re))))) (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) (neg (log (sqrt (+ (* re re) (* im im))))) (log (sqrt (+ (* re re) (* im im)))) (log im) (/ 1 (/ (log 10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 10) (log (sqrt (+ (* re re) (* im im))))) (log 10) (/ (pow (log 10) -1) (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (pow (log 10) -1) (pow (log (sqrt (+ (* im im) (* re re)))) -1) (exp (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1)) (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (neg (log (/ (log 10) (log im)))) (log (/ (log 10) (log im))) (/ 1 (log im)) (/ (log 10) (log im)))
42.0ms	im	@	-inf	((/ (pow (log 1/10) -1) (/ -1 (log (sqrt (+ (* im im) (* re re)))))) (pow (log 1/10) -1) (log 1/10) (/ -1 (log (sqrt (+ (* im im) (* re re))))) (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) (neg (log (sqrt (+ (* re re) (* im im))))) (log (sqrt (+ (* re re) (* im im)))) (log im) (/ 1 (/ (log 10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 10) (log (sqrt (+ (* re re) (* im im))))) (log 10) (/ (pow (log 10) -1) (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (pow (log 10) -1) (pow (log (sqrt (+ (* im im) (* re re)))) -1) (exp (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1)) (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (neg (log (/ (log 10) (log im)))) (log (/ (log 10) (log im))) (/ 1 (log im)) (/ (log 10) (log im)))
33.0ms	im	@	inf	((/ (pow (log 1/10) -1) (/ -1 (log (sqrt (+ (* im im) (* re re)))))) (pow (log 1/10) -1) (log 1/10) (/ -1 (log (sqrt (+ (* im im) (* re re))))) (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) (neg (log (sqrt (+ (* re re) (* im im))))) (log (sqrt (+ (* re re) (* im im)))) (log im) (/ 1 (/ (log 10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 10) (log (sqrt (+ (* re re) (* im im))))) (log 10) (/ (pow (log 10) -1) (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (pow (log 10) -1) (pow (log (sqrt (+ (* im im) (* re re)))) -1) (exp (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1)) (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (neg (log (/ (log 10) (log im)))) (log (/ (log 10) (log im))) (/ 1 (log im)) (/ (log 10) (log im)))
2.0ms	re	@	inf	((/ (pow (log 1/10) -1) (/ -1 (log (sqrt (+ (* im im) (* re re)))))) (pow (log 1/10) -1) (log 1/10) (/ -1 (log (sqrt (+ (* im im) (* re re))))) (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) (neg (log (sqrt (+ (* re re) (* im im))))) (log (sqrt (+ (* re re) (* im im)))) (log im) (/ 1 (/ (log 10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 10) (log (sqrt (+ (* re re) (* im im))))) (log 10) (/ (pow (log 10) -1) (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (pow (log 10) -1) (pow (log (sqrt (+ (* im im) (* re re)))) -1) (exp (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1)) (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (neg (log (/ (log 10) (log im)))) (log (/ (log 10) (log im))) (/ 1 (log im)) (/ (log 10) (log im)))
2.0ms	re	@	-inf	((/ (pow (log 1/10) -1) (/ -1 (log (sqrt (+ (* im im) (* re re)))))) (pow (log 1/10) -1) (log 1/10) (/ -1 (log (sqrt (+ (* im im) (* re re))))) (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) (neg (log (sqrt (+ (* re re) (* im im))))) (log (sqrt (+ (* re re) (* im im)))) (log im) (/ 1 (/ (log 10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 10) (log (sqrt (+ (* re re) (* im im))))) (log 10) (/ (pow (log 10) -1) (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (pow (log 10) -1) (pow (log (sqrt (+ (* im im) (* re re)))) -1) (exp (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1)) (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (neg (log (/ (log 10) (log im)))) (log (/ (log 10) (log im))) (/ 1 (log im)) (/ (log 10) (log im)))

simplify242.0ms (3.9%)

Memory

-24.0MiB live, 362.2MiB allocated

Algorithm

1×	egg-herbie

Rules

9 904×	`lower-fma.f64`
9 904×	`lower-fma.f32`
7 610×	`lower-*.f64`
7 610×	`lower-*.f32`
5 112×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1055	10112
1	3236	9796
0	8946	9420

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

Calls

Call 1

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

Outputs
(* -1 (/ (log im) (log 1/10)))
(/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64)))
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(* -1 (log im))
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(log im)
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(/ (log im) (log 10))
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(/ (log 10) (log im))
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(-.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (/.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal -1/4 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) im))) (fma.f64 (/.f64 (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal 1/720 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 6 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))))) (neg.f64 (pow.f64 im #s(literal 6 binary64)))) (fma.f64 (/.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 1/4 binary64) (fma.f64 (/.f64 (.f64 (/.f64 re im) (/.f64 re im)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))))))
(* -1 (/ (log (/ -1 im)) (log 10)))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 #s(literal 10 binary64))))
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 #s(literal 10 binary64)))))
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))
(fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 #s(literal 10 binary64))))))
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))))
(-.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))) (.f64 (/.f64 re im) (/.f64 re im)) (.f64 (/.f64 #s(literal 1/720 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (pow.f64 im #s(literal 6 binary64)))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 10 binary64))))
(* -1 (log (* -1 (/ (log 10) (log (/ -1 im))))))
(neg.f64 (log.f64 (/.f64 (neg.f64 (log.f64 #s(literal 10 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)))))
(+ (* -1 (log (* -1 (/ (log 10) (log (/ -1 im)))))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im))))))
(-.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 re re)) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (.f64 im im))) (log.f64 (/.f64 (neg.f64 (log.f64 #s(literal 10 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)))))
(+ (* -1 (log (* -1 (/ (log 10) (log (/ -1 im)))))) (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im))))) (* -1/24 (/ (+ (* -3 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 24 (/ (* (log (/ -1 im)) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log 10)))) (pow im 4)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 10 binary64))) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 10 binary64))) #s(literal 24 binary64) (/.f64 (.f64 #s(literal -3 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/24 binary64) (-.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 re re)) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (*.f64 im im))) (log.f64 (/.f64 (neg.f64 (log.f64 #s(literal 10 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im))))))
(+ (* -1 (log (* -1 (/ (log 10) (log (/ -1 im)))))) (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im))))) (+ (* -1/24 (/ (+ (* -3 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 24 (/ (* (log (/ -1 im)) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log 10)))) (pow im 4))) (* -1/720 (/ (+ (* -360 (/ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log 10))) (+ (* 30 (/ (pow re 6) (pow (log (/ -1 im)) 3))) (* 720 (/ (* (log (/ -1 im)) (+ (* -1/8 (/ (* (pow re 6) (log 10)) (pow (log (/ -1 im)) 3))) (+ (* 1/720 (/ (* (log 10) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow (log (/ -1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log (/ -1 im))))))) (log 10))))) (pow im 6))))))
(-.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 720 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 10 binary64))) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) im))) (fma.f64 (.f64 #s(literal 1/720 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (log.f64 #s(literal 10 binary64))) (pow.f64 re #s(literal 6 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))))) (log.f64 #s(literal 10 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 -360 binary64) (.f64 re re)) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 10 binary64))) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (log.f64 #s(literal 10 binary64)))))) (pow.f64 im #s(literal 6 binary64))) #s(literal -1/720 binary64) (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 10 binary64))) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 10 binary64))) #s(literal 24 binary64) (/.f64 (.f64 #s(literal -3 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/24 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 re re)) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (*.f64 im im))))) (log.f64 (/.f64 (neg.f64 (log.f64 #s(literal 10 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)))))
(* -1 (log (/ (log 10) (+ (log -1) (* -1 (log (/ -1 im)))))))
(neg.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))))
(* -1 (log (/ (log 10) (+ (log -1) (* -1 (log (/ -1 im)))))))
(neg.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))))
(* -1 (log (/ (log 10) (+ (log -1) (* -1 (log (/ -1 im)))))))
(neg.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))))
(* -1 (log (/ (log 10) (+ (log -1) (* -1 (log (/ -1 im)))))))
(neg.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))))
(log (/ (log 10) (+ (log -1) (* -1 (log (/ -1 im))))))
(log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))))
(log (/ (log 10) (+ (log -1) (* -1 (log (/ -1 im))))))
(log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))))
(log (/ (log 10) (+ (log -1) (* -1 (log (/ -1 im))))))
(log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))))
(log (/ (log 10) (+ (log -1) (* -1 (log (/ -1 im))))))
(log.f64 (/.f64 (log.f64 #s(literal 10 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))))
(/ 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 10) (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 (log.f64 #s(literal 10 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(/ (log 10) (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 (log.f64 #s(literal 10 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(/ (log 10) (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 (log.f64 #s(literal 10 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(/ (log 10) (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 (log.f64 #s(literal 10 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))

rewrite276.0ms (4.5%)

Memory

5.4MiB live, 324.4MiB allocated

Rules

3 390×	`lower-*.f64`
3 390×	`lower-*.f32`
3 064×	`lower-fma.f64`
3 064×	`lower-fma.f32`
2 336×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	190
0	60	164
1	178	153
2	876	151
3	6972	151
0	8882	151

Stop Event

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

Counts

20 → 821

Calls

Call 1

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

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

eval186.0ms (3%)

Memory: 19.6MiB live, 378.1MiB allocated
Compiler: Compiled 25 877 to 3 573 computations (86.2% saved)

prune30.0ms (0.5%)

Memory

14.7MiB live, 93.2MiB allocated

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	1 363	7	1 370
Fresh	4	2	6
Picked	3	2	5
Done	0	3	3
Total	1 370	14	1 384

Accuracy

100.0%

Counts

1 384 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	75.2%	(pow.f64 (pow.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
▶	99.0%	(/.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(approx (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))))
	98.6%	(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) #s(approx (/ -1 (log (sqrt (+ (* im im) (* re re))))) (/.f64 #s(literal -1 binary64) (log.f64 im))))
▶	98.2%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) #s(approx (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))))
	50.9%	(/.f64 (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
✓	99.0%	(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64)))
	98.5%	(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 im))))) (log.f64 #s(literal 1/10 binary64)))
✓	98.6%	(/.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)))
✓	98.6%	(/.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 (pow.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64))))
▶	98.6%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
▶	74.7%	(exp.f64 #s(approx (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (log.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))))

Compiler

Compiled 218 to 227 computations (-4.1% saved)

simplify22.0ms (0.3%)

Memory

-27.5MiB live, 11.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
cost-diff	0	(log.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))
cost-diff	0	#s(approx (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (log.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))))
cost-diff	0	(exp.f64 #s(approx (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (log.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))))
cost-diff	0	#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
cost-diff	0	(pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal -1 binary64))
cost-diff	704	(/.f64 #s(literal 1 binary64) (.f64 (pow.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64))))
cost-diff	6080	(.f64 (pow.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (log.f64 im))
cost-diff	0	#s(approx (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im)))
cost-diff	0	(log.f64 #s(literal 10 binary64))
cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) #s(approx (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/.f64 #s(literal 1 binary64) (log.f64 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	(log.f64 #s(literal 10 binary64))
cost-diff	0	(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64))
cost-diff	0	(/.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(approx (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))))
cost-diff	6464	(pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))

Rules

226×	`lower-*.f32`
224×	`lower-*.f64`
142×	`lower-/.f32`
132×	`lower-fma.f64`
132×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	297
0	58	301
1	72	287
2	91	284
3	123	284
4	193	284
5	269	284
6	350	284
7	390	284
8	431	284
9	472	284
10	518	284
11	538	284
12	546	284
0	546	219

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize124.0ms (2%)

Memory

14.8MiB live, 131.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.03125	(log.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))
accuracy	0.2682871991367143	#s(approx (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (log.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))))
accuracy	0.43882753907376804	(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
accuracy	0.8397918700425032	(exp.f64 #s(approx (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (log.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))))
accuracy	0.203125	(/.f64 #s(literal 1 binary64) (.f64 (pow.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64))))
accuracy	0.2421875	(pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal -1 binary64))
accuracy	0.29415276106974453	#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
accuracy	0.5153312988422102	(.f64 (pow.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64)))
accuracy	0.2109375	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) #s(approx (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))))
accuracy	0.23828125	(/.f64 #s(literal 1 binary64) (log.f64 im))
accuracy	0.2853903872100809	#s(approx (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im)))
accuracy	0.765625	(/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))
accuracy	0.203125	(/.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	0.29415276106974453	#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
accuracy	0.47302631837909415	(/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
accuracy	0.765625	(log.f64 #s(literal 1/10 binary64))
accuracy	0	(log.f64 #s(literal 10 binary64))
accuracy	0.2109375	(/.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(approx (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))))
accuracy	0.23828125	(/.f64 #s(literal 1 binary64) (log.f64 im))
accuracy	0.2853903872100809	#s(approx (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im)))

Samples

67.0ms	196×	0	valid
20.0ms	60×	0	invalid

Compiler

Compiled 244 to 35 computations (85.7% saved)

Precisions

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

ival-log: 20.0ms (29.1% of total)

ival-div: 13.0ms (18.9% of total)

ival-pow: 11.0ms (16% of total)

ival-pow2: 8.0ms (11.6% of total)

ival-hypot: 7.0ms (10.2% of total)

const: 4.0ms (5.8% of total)

ival-exp: 3.0ms (4.4% of total)

ival-mult: 3.0ms (4.4% of total)

exact: 1.0ms (1.5% of total)

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

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

series193.0ms (3.1%)

Memory

1.7MiB live, 248.5MiB allocated

Counts

19 → 300

Calls

Call 1

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

Outputs
#s(alt (/ (log im) (log 10)) (taylor 0 re) (#s(alt (/.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(approx (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im)))) (patch (/.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(approx (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/.f64 #s(literal 1 binary64) (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 (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(approx (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im)))) (patch (/.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(approx (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/.f64 #s(literal 1 binary64) (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 (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(approx (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im)))) (patch (/.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(approx (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/.f64 #s(literal 1 binary64) (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 (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(approx (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im)))) (patch (/.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(approx (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im)))) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (/ (log im) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10))))) (taylor 0 re) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) (patch (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) #<representation binary64>) () ())) ())
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#s(alt (- (+ (* -1 (/ (log 10) (log (/ -1 im)))) (* -1 (/ (+ (* -1/8 (/ (* (pow re 6) (log 10)) (pow (log (/ -1 im)) 3))) (+ (* 1/720 (/ (* (log 10) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow (log (/ -1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log (/ -1 im)))))) (pow im 6)))) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (* (pow im 4) (pow (log (/ -1 im)) 2)))) (+ (* 1/4 (/ (* (pow re 4) (log 10)) (* (pow im 4) (pow (log (/ -1 im)) 3)))) (* 1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ -1 im)) 2))))))) (taylor -inf im) (#s(alt (.f64 (pow.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64))) (patch (.f64 (pow.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log (/ -1 im)) (log 10))) (taylor -inf im) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64)))) (patch (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)) #s(literal -1 binary64)) (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 #s(literal 1 binary64) (.f64 (pow.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64)))) (patch (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)) #s(literal -1 binary64)) (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 #s(literal 1 binary64) (.f64 (pow.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64)))) (patch (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)) #s(literal -1 binary64)) (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 #s(literal 1 binary64) (.f64 (pow.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64)))) (patch (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (log (/ -1 im))) (taylor -inf im) (#s(alt (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal -1 binary64)) (patch (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (/ 1 (log (/ -1 im)))) (taylor -inf im) (#s(alt (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal -1 binary64)) (patch (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ (* -1/4 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (pow re 4) (pow (log (/ -1 im)) 3)))) (pow im 4))) (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (/ 1 (log (/ -1 im))))) (taylor -inf im) (#s(alt (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal -1 binary64)) (patch (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ (* -1/8 (/ (pow re 6) (pow (log (/ -1 im)) 3))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow (log (/ -1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (pow re 4) (pow (log (/ -1 im)) 3))))) (log (/ -1 im)))))) (pow im 6))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 2)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 3)))) (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (/ 1 (log (/ -1 im))))))) (taylor -inf im) (#s(alt (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal -1 binary64)) (patch (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log (/ -1 im)) (log 10))) (taylor -inf im) (#s(alt (exp.f64 #s(approx (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (log.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))))) (patch (exp.f64 #s(approx (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (log.f64 (/.f64 (log.f64 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 (exp.f64 #s(approx (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (log.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))))) (patch (exp.f64 #s(approx (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (log.f64 (/.f64 (log.f64 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 (exp.f64 #s(approx (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (log.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))))) (patch (exp.f64 #s(approx (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (log.f64 (/.f64 (log.f64 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 (exp.f64 #s(approx (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (log.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))))) (patch (exp.f64 #s(approx (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (log.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (* -1 (/ (log 10) (log (/ -1 im)))))) (taylor -inf im) (#s(alt #s(approx (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (log.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))) (patch #s(approx (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (log.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (* -1 (/ (log 10) (log (/ -1 im)))))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im)))))) (taylor -inf im) (#s(alt #s(approx (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (log.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))) (patch #s(approx (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (log.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (* -1 (/ (log 10) (log (/ -1 im)))))) (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im))))) (* -1/24 (/ (+ (* -3 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 24 (/ (* (log (/ -1 im)) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log 10)))) (pow im 4))))) (taylor -inf im) (#s(alt #s(approx (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (log.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))) (patch #s(approx (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (log.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (* -1 (/ (log 10) (log (/ -1 im)))))) (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im))))) (+ (* -1/24 (/ (+ (* -3 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 24 (/ (* (log (/ -1 im)) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log 10)))) (pow im 4))) (* -1/720 (/ (+ (* -360 (/ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log 10))) (+ (* 30 (/ (pow re 6) (pow (log (/ -1 im)) 3))) (* 720 (/ (* (log (/ -1 im)) (+ (* -1/8 (/ (* (pow re 6) (log 10)) (pow (log (/ -1 im)) 3))) (+ (* 1/720 (/ (* (log 10) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow (log (/ -1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log (/ -1 im))))))) (log 10))))) (pow im 6)))))) (taylor -inf im) (#s(alt #s(approx (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (log.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))) (patch #s(approx (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (log.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))) #<representation binary64>) () ())) ())
#s(alt (log (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))) (taylor -inf im) (#s(alt (log.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))) (patch (log.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (log (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))) (taylor -inf im) (#s(alt (log.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))) (patch (log.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (log (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))) (taylor -inf im) (#s(alt (log.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))) (patch (log.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (log (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))) (taylor -inf im) (#s(alt (log.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))) (patch (log.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10)) (taylor -inf im) (#s(alt (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10)) (taylor -inf im) (#s(alt (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10)) (taylor -inf im) (#s(alt (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10)) (taylor -inf im) (#s(alt (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
85.0ms	im	@	inf	((pow (pow (log 10) -1/2) 2) (/ (pow (pow (log 10) -1/2) 2) (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (pow (log 10) -1/2) (log 10) (/ -1 (/ (log 1/10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 1/10) (log (sqrt (+ (* re re) (* im im))))) (log 1/10) (log (sqrt (+ (* re re) (* im im)))) (/ (/ 1 (log 10)) (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/ 1 (log im)) (* (pow (log (sqrt (+ (* re re) (* im im)))) -1) (log 10)) (/ 1 (* (pow (log (sqrt (+ (* re re) (* im im)))) -1) (log 10))) (pow (log (sqrt (+ (* re re) (* im im)))) -1) (exp (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1)) (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (log (/ (log im) (log 10))) (/ (log im) (log 10)) (/ 1 (log 10)))
47.0ms	im	@	0	((pow (pow (log 10) -1/2) 2) (/ (pow (pow (log 10) -1/2) 2) (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (pow (log 10) -1/2) (log 10) (/ -1 (/ (log 1/10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 1/10) (log (sqrt (+ (* re re) (* im im))))) (log 1/10) (log (sqrt (+ (* re re) (* im im)))) (/ (/ 1 (log 10)) (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/ 1 (log im)) (* (pow (log (sqrt (+ (* re re) (* im im)))) -1) (log 10)) (/ 1 (* (pow (log (sqrt (+ (* re re) (* im im)))) -1) (log 10))) (pow (log (sqrt (+ (* re re) (* im im)))) -1) (exp (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1)) (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (log (/ (log im) (log 10))) (/ (log im) (log 10)) (/ 1 (log 10)))
38.0ms	im	@	-inf	((pow (pow (log 10) -1/2) 2) (/ (pow (pow (log 10) -1/2) 2) (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (pow (log 10) -1/2) (log 10) (/ -1 (/ (log 1/10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 1/10) (log (sqrt (+ (* re re) (* im im))))) (log 1/10) (log (sqrt (+ (* re re) (* im im)))) (/ (/ 1 (log 10)) (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/ 1 (log im)) (* (pow (log (sqrt (+ (* re re) (* im im)))) -1) (log 10)) (/ 1 (* (pow (log (sqrt (+ (* re re) (* im im)))) -1) (log 10))) (pow (log (sqrt (+ (* re re) (* im im)))) -1) (exp (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1)) (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (log (/ (log im) (log 10))) (/ (log im) (log 10)) (/ 1 (log 10)))
2.0ms	re	@	inf	((pow (pow (log 10) -1/2) 2) (/ (pow (pow (log 10) -1/2) 2) (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (pow (log 10) -1/2) (log 10) (/ -1 (/ (log 1/10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 1/10) (log (sqrt (+ (* re re) (* im im))))) (log 1/10) (log (sqrt (+ (* re re) (* im im)))) (/ (/ 1 (log 10)) (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/ 1 (log im)) (* (pow (log (sqrt (+ (* re re) (* im im)))) -1) (log 10)) (/ 1 (* (pow (log (sqrt (+ (* re re) (* im im)))) -1) (log 10))) (pow (log (sqrt (+ (* re re) (* im im)))) -1) (exp (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1)) (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (log (/ (log im) (log 10))) (/ (log im) (log 10)) (/ 1 (log 10)))
2.0ms	re	@	0	((pow (pow (log 10) -1/2) 2) (/ (pow (pow (log 10) -1/2) 2) (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (pow (log 10) -1/2) (log 10) (/ -1 (/ (log 1/10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 1/10) (log (sqrt (+ (* re re) (* im im))))) (log 1/10) (log (sqrt (+ (* re re) (* im im)))) (/ (/ 1 (log 10)) (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/ 1 (log im)) (* (pow (log (sqrt (+ (* re re) (* im im)))) -1) (log 10)) (/ 1 (* (pow (log (sqrt (+ (* re re) (* im im)))) -1) (log 10))) (pow (log (sqrt (+ (* re re) (* im im)))) -1) (exp (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1)) (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (log (/ (log im) (log 10))) (/ (log im) (log 10)) (/ 1 (log 10)))

simplify209.0ms (3.4%)

Memory

27.9MiB live, 253.1MiB allocated

Algorithm

1×	egg-herbie

Rules

9 756×	`lower-fma.f64`
9 756×	`lower-fma.f32`
8 180×	`lower-*.f64`
8 180×	`lower-*.f32`
5 096×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1094	10888
1	3386	10562
0	9210	10154

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

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

Outputs
(/ (log im) (log 10))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10)))
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(log im)
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(/ 1 (log im))
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(-.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (/.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) im))) (fma.f64 (/.f64 (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal 1/720 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 6 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))))) (neg.f64 (pow.f64 im #s(literal 6 binary64)))) (fma.f64 (/.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 1/4 binary64) (fma.f64 (/.f64 (.f64 (/.f64 re im) (/.f64 re im)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))))))
(* -1 (/ (log (/ -1 im)) (log 10)))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 #s(literal 10 binary64))))
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 #s(literal 10 binary64)))))
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))
(fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 #s(literal 10 binary64))))))
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))))
(-.f64 (fma.f64 (/.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 6 binary64))) (/.f64 (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (log.f64 #s(literal 10 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))) (.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64)))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 10 binary64))))
(* -1 (log (* -1 (/ (log 10) (log (/ -1 im))))))
(neg.f64 (log.f64 (/.f64 (neg.f64 (log.f64 #s(literal 10 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)))))
(+ (* -1 (log (* -1 (/ (log 10) (log (/ -1 im)))))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im))))))
(-.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 re re)) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (.f64 im im))) (log.f64 (/.f64 (neg.f64 (log.f64 #s(literal 10 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)))))
(+ (* -1 (log (* -1 (/ (log 10) (log (/ -1 im)))))) (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im))))) (* -1/24 (/ (+ (* -3 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 24 (/ (* (log (/ -1 im)) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log 10)))) (pow im 4)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 10 binary64))) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 10 binary64))) #s(literal 24 binary64) (/.f64 (.f64 #s(literal -3 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/24 binary64) (-.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 re re)) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (*.f64 im im))) (log.f64 (/.f64 (neg.f64 (log.f64 #s(literal 10 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im))))))
(+ (* -1 (log (* -1 (/ (log 10) (log (/ -1 im)))))) (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im))))) (+ (* -1/24 (/ (+ (* -3 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 24 (/ (* (log (/ -1 im)) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log 10)))) (pow im 4))) (* -1/720 (/ (+ (* -360 (/ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log 10))) (+ (* 30 (/ (pow re 6) (pow (log (/ -1 im)) 3))) (* 720 (/ (* (log (/ -1 im)) (+ (* -1/8 (/ (* (pow re 6) (log 10)) (pow (log (/ -1 im)) 3))) (+ (* 1/720 (/ (* (log 10) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow (log (/ -1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log (/ -1 im))))))) (log 10))))) (pow im 6))))))
(-.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 720 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 10 binary64))) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) im))) (fma.f64 (.f64 #s(literal 1/720 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (log.f64 #s(literal 10 binary64))) (pow.f64 re #s(literal 6 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))))) (log.f64 #s(literal 10 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 -360 binary64) (.f64 re re)) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 10 binary64))) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (log.f64 #s(literal 10 binary64)))))) (pow.f64 im #s(literal 6 binary64))) #s(literal -1/720 binary64) (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 10 binary64))) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 10 binary64))) #s(literal 24 binary64) (/.f64 (.f64 #s(literal -3 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/24 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 re re)) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (*.f64 im im))))) (log.f64 (/.f64 (neg.f64 (log.f64 #s(literal 10 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)))))
(log (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10)))
(log.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 10 binary64))))
(log (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10)))
(log.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 10 binary64))))
(log (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10)))
(log.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 10 binary64))))
(log (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10)))
(log.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 10 binary64))))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 10 binary64)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 10 binary64)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 10 binary64)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 10 binary64)))

rewrite218.0ms (3.5%)

Memory

-51.9MiB live, 282.5MiB allocated

Rules

4 080×	`lower-fma.f64`
4 080×	`lower-fma.f32`
3 850×	`lower-*.f32`
3 848×	`lower-*.f64`
2 200×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	232
0	58	226
1	174	218
2	824	213
3	5836	213
0	8420	161

Stop Event

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

Counts

19 → 632

Calls

Call 1

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

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

eval156.0ms (2.5%)

Memory: 16.3MiB live, 248.7MiB allocated
Compiler: Compiled 23 785 to 3 003 computations (87.4% saved)

prune30.0ms (0.5%)

Memory

-0.2MiB live, 77.7MiB allocated

Pruning

14 alts after pruning (5 fresh and 9 done)

	Pruned	Kept	Total
New	1 118	4	1 122
Fresh	3	1	4
Picked	1	4	5
Done	0	5	5
Total	1 122	14	1 136

Accuracy

100.0%

Counts

1 136 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	75.2%	(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))
✓	99.0%	(/.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(approx (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))))
✓	98.2%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) #s(approx (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))))
	98.6%	(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) #s(approx (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))))
	50.9%	(/.f64 (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
✓	99.0%	(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64)))
✓	98.6%	(/.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)))
✓	98.6%	(/.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 (/.f64 #s(literal 1 binary64) #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 10 binary64))))
	98.6%	(/.f64 #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 1/10 binary64))))
✓	98.6%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
✓	74.7%	(exp.f64 #s(approx (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (log.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))))

Compiler

Compiled 568 to 275 computations (51.6% saved)

regimes84.0ms (1.4%)

Memory

2.5MiB live, 122.5MiB allocated

Counts

37 → 1

Calls

Call 1

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

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

Calls

8 calls:

13.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))
12.0ms	re
11.0ms	(+.f64 (.f64 re re) (.f64 im im))
10.0ms	im
9.0ms	(*.f64 im im)

Results

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

Compiler

Compiled 44 to 38 computations (13.6% saved)

regimes36.0ms (0.6%)

Memory

-5.1MiB live, 71.9MiB allocated

Accuracy

Total -31.0b remaining (-3578.5%)

Threshold costs -31b (-3578.5%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
98.6%	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 im im)`
98.6%	1	`re`
98.6%	1	`(*.f64 re re)`

Compiler

Compiled 44 to 38 computations (13.6% saved)

simplify38.0ms (0.6%)

Memory

9.6MiB live, 57.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	22

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (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)))

Outputs
(/.f64 (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)))

soundness298.0ms (4.8%)

Memory

0.4MiB live, 224.4MiB allocated

Rules

14 804×	`lower-fma.f64`
14 804×	`lower-fma.f32`
4 802×	`lower-fma.f64`
4 802×	`lower-fma.f32`
4 746×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	268	1676
1	730	1632
2	2203	1630
3	5799	1618
0	8392	1506
0	10	41
0	17	41
1	44	41
2	251	41
3	2046	41
0	8387	25

Stop Event

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

Compiler

Compiled 37 to 29 computations (21.6% saved)

preprocess48.0ms (0.8%)

Memory

22.4MiB live, 59.9MiB allocated

Remove

(sort re im)

(abs re)

(abs im)

Compiler

Compiled 92 to 82 computations (10.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

Iter	Nodes	Cost
0	29	150
0	48	142
1	63	141
2	81	141
3	100	141
4	128	141
5	178	141
6	263	141
7	371	141
8	414	141
9	432	141
10	446	141
11	459	141
12	468	141
13	476	141
14	480	141
0	480	141

Iter	Nodes	Cost
0	41	236
0	60	206
1	76	204
2	99	200
3	134	199
4	191	199
5	277	199
6	341	199
7	392	199
8	415	199
9	429	199
10	448	199
11	452	199
0	452	199

Iter	Nodes	Cost
0	41	297
0	58	301
1	72	287
2	91	284
3	123	284
4	193	284
5	269	284
6	350	284
7	390	284
8	431	284
9	472	284
10	518	284
11	538	284
12	546	284
0	546	219

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	29	150
0	48	142
1	63	141
2	81	141
3	100	141
4	128	141
5	178	141
6	263	141
7	371	141
8	414	141
9	432	141
10	446	141
11	459	141
12	468	141
13	476	141
14	480	141
0	480	141

Iter	Nodes	Cost
0	41	236
0	60	206
1	76	204
2	99	200
3	134	199
4	191	199
5	277	199
6	341	199
7	392	199
8	415	199
9	429	199
10	448	199
11	452	199
0	452	199

Iter	Nodes	Cost
0	41	297
0	58	301
1	72	287
2	91	284
3	123	284
4	193	284
5	269	284
6	350	284
7	390	284
8	431	284
9	472	284
10	518	284
11	538	284
12	546	284
0	546	219

start0.0ms (0%)

analyze60.0ms (1%)

sample948.0ms (15.3%)

explain258.0ms (4.2%)

preprocess50.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0.1%)

localize60.0ms (1%)

series48.0ms (0.8%)

simplify288.0ms (4.6%)

rewrite192.0ms (3.1%)

eval94.0ms (1.5%)

prune46.0ms (0.7%)

simplify21.0ms (0.3%)

localize135.0ms (2.2%)

series111.0ms (1.8%)

simplify313.0ms (5.1%)

rewrite246.0ms (4%)

eval745.0ms (12%)

prune53.0ms (0.9%)

simplify22.0ms (0.4%)

localize123.0ms (2%)

series179.0ms (2.9%)

simplify242.0ms (3.9%)

rewrite276.0ms (4.5%)

eval186.0ms (3%)

prune30.0ms (0.5%)

simplify22.0ms (0.3%)

localize124.0ms (2%)

series193.0ms (3.1%)

simplify209.0ms (3.4%)

rewrite218.0ms (3.5%)

eval156.0ms (2.5%)

prune30.0ms (0.5%)

regimes84.0ms (1.4%)

regimes36.0ms (0.6%)

simplify38.0ms (0.6%)

soundness298.0ms (4.8%)

preprocess48.0ms (0.8%)

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	29	150
0	48	142
1	63	141
2	81	141
3	100	141
4	128	141
5	178	141
6	263	141
7	371	141
8	414	141
9	432	141
10	446	141
11	459	141
12	468	141
13	476	141
14	480	141
0	480	141

Iter	Nodes	Cost
0	41	236
0	60	206
1	76	204
2	99	200
3	134	199
4	191	199
5	277	199
6	341	199
7	392	199
8	415	199
9	429	199
10	448	199
11	452	199
0	452	199

Iter	Nodes	Cost
0	41	297
0	58	301
1	72	287
2	91	284
3	123	284
4	193	284
5	269	284
6	350	284
7	390	284
8	431	284
9	472	284
10	518	284
11	538	284
12	546	284
0	546	219