Metrics for math.log10 on complex, real part

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze57.0ms (0.9%)

Memory

12.8MiB live, 92.8MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample1.4s (21%)

Memory

18.0MiB live, 964.1MiB allocated

Samples

1.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 704.0ms

ival-log: 335.0ms (47.6% of total)

ival-hypot: 273.0ms (38.8% of total)

ival-div: 81.0ms (11.5% of total)

ival-true: 6.0ms (0.9% of total)

exact: 5.0ms (0.7% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain177.0ms (2.7%)

Memory

-22.9MiB live, 177.4MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`	oflow-rescue	117	0
↳	`(+.f64 (.f64 re re) (.f64 im im))`	overflow	117
↳	`(*.f64 re re)`	overflow	70
↳	`(*.f64 im im)`	overflow	65
`sqrt.f64`	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`	uflow-rescue	21	0
↳	`(+.f64 (.f64 re re) (.f64 im im))`	underflow	21
↳	`(*.f64 re re)`	underflow	65
↳	`(*.f64 im im)`	underflow	63

Confusion

	Predicted +	Predicted -
+	138	0
-	0	118

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	138	0	0
-	0	0	118

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	118
1	138

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

73.0ms

512×

valid

Compiler

Compiled 157 to 44 computations (72% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-log: 22.0ms (51.2% of total)

ival-hypot: 8.0ms (18.6% of total)

ival-mult: 7.0ms (16.3% of total)

ival-div: 3.0ms (7% of total)

ival-add: 2.0ms (4.7% of total)

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

exact: 0.0ms (0% of total)

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

preprocess18.0ms (0.3%)

Memory

25.7MiB live, 25.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs im)

(abs re)

(sort re im)

Compiler

Compiled 12 to 10 computations (16.7% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.3%	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))

Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify3.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

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)

localize50.0ms (0.8%)

Memory

6.9MiB live, 45.9MiB 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	0.6494713379159782	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))
accuracy	32.04616753035202	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Samples

43.0ms

256×

valid

Compiler

Compiled 96 to 22 computations (77.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-log: 6.0ms (32.4% of total)

ival-mult: 6.0ms (32.4% of total)

ival-hypot: 4.0ms (21.6% of total)

ival-div: 1.0ms (5.4% of total)

ival-add: 1.0ms (5.4% of total)

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

exact: 0.0ms (0% of total)

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

series30.0ms (0.5%)

Memory

-21.1MiB live, 20.2MiB 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>) () ())) ())
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#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
18.0ms	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))

simplify201.0ms (3%)

Memory

24.3MiB live, 255.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 104

Calls

Call 1

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

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

rewrite177.0ms (2.7%)

Memory

-6.5MiB live, 306.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 317

Calls

Call 1

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

Outputs
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eval63.0ms (0.9%)

Memory: -17.1MiB live, 140.6MiB allocated
Compiler: Compiled 10 557 to 1 829 computations (82.7% saved)

prune17.0ms (0.2%)

Memory

23.4MiB live, 62.9MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

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

Accuracy

100.0%

Counts

422 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.1%	(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))
	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))))
	99.1%	(/.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)))))
	47.3%	(/.f64 (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
▶	99.1%	(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64)))
▶	99.0%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
▶	47.4%	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
	3.2%	(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) im) (/.f64 (/.f64 im re) re) (log.f64 re))) (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)))
▶	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))))
	73.6%	(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #s(literal -1 binary64)))

Compiler

Compiled 276 to 240 computations (13% saved)

simplify12.0ms (0.2%)

Memory

-23.2MiB live, 24.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	132
0	52	130
1	70	130
2	83	130
3	95	130
4	130	130
5	175	130
6	210	130
7	228	130
8	236	130
9	242	130
10	245	130
11	251	130
12	251	130
0	251	129

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize95.0ms (1.4%)

Memory

-7.0MiB live, 198.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(log.f64 (hypot.f64 im re))
accuracy	0	(log.f64 #s(literal 10 binary64))
accuracy	0.24609375	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))))
accuracy	0.5989837890737681	(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))
accuracy	0	(hypot.f64 re im)
accuracy	0	(log.f64 (hypot.f64 re im))
accuracy	0	(log.f64 #s(literal 10 binary64))
accuracy	0.6494713379159782	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
accuracy	0	(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
accuracy	0.6494713379159782	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
accuracy	1.0	(log.f64 #s(literal 1/10 binary64))
accuracy	32.04616753035202	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
accuracy	0	(log.f64 im)
accuracy	0	(log.f64 #s(literal 10 binary64))
accuracy	0.25950488442013814	#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
accuracy	0.6494713379159782	(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
accuracy	0	(neg.f64 (log.f64 (hypot.f64 im re)))
accuracy	0	(log.f64 (hypot.f64 im re))
accuracy	0.6494713379159782	(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64)))
accuracy	1.0	(log.f64 #s(literal 1/10 binary64))

Samples

63.0ms

256×

valid

Compiler

Compiled 347 to 50 computations (85.6% saved)

Precisions

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

ival-log: 15.0ms (33.4% of total)

ival-div: 12.0ms (26.7% of total)

ival-hypot: 8.0ms (17.8% of total)

const: 4.0ms (8.9% of total)

ival-mult: 3.0ms (6.7% of total)

ival-neg: 2.0ms (4.5% of total)

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

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

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

exact: 0.0ms (0% of total)

series155.0ms (2.3%)

Memory

12.0MiB live, 168.2MiB allocated

Counts

19 → 384

Calls

Call 1

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

Outputs
#s(alt (* -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 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10))) (taylor 0 re) (#s(alt (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) (taylor 0 re) (#s(alt (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) (taylor 0 re) (#s(alt (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (log im) (taylor 0 re) (#s(alt #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (patch #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (log im) (* 1/2 (/ (pow re 2) (pow im 2)))) (taylor 0 re) (#s(alt #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (patch #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))) (taylor 0 re) (#s(alt #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (patch #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2)))))) (taylor 0 re) (#s(alt #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (patch #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #<representation binary64>) () ())) ())
#s(alt (pow im 2) (taylor 0 re) (#s(alt (+.f64 (.f64 re re) (.f64 im im)) (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (+ (pow im 2) (pow re 2)) (taylor 0 re) (#s(alt (+.f64 (.f64 re re) (.f64 im im)) (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (+ (pow im 2) (pow re 2)) (taylor 0 re) (#s(alt (+.f64 (.f64 re re) (.f64 im im)) (patch (+.f64 (.f64 re re) (.f64 im im)) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))) (taylor -inf im) (#s(alt (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ -1 im))) (taylor -inf im) (#s(alt (log.f64 (hypot.f64 re im)) (patch (log.f64 (hypot.f64 re im)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2)))) (taylor -inf im) (#s(alt (log.f64 (hypot.f64 re im)) (patch (log.f64 (hypot.f64 re 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 (hypot.f64 re im)) (patch (log.f64 (hypot.f64 re 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 (hypot.f64 re im)) (patch (log.f64 (hypot.f64 re im)) #<representation binary64>) () ())) ())
#s(alt (* -1 im) (taylor -inf im) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))) (taylor -inf im) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))) (taylor -inf im) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))) (taylor -inf im) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log (/ -1 im)) (log 10))) (taylor -inf im) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #<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 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #<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 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #<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 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) (patch (/.f64 #s(literal 1 binary64) (/.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>) () ())) ())
#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
30.0ms	im	@	0	((/ (neg (log (sqrt (+ (* im im) (* re re))))) (log 1/10)) (neg (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (log im) (log 10) (+ (* re re) (* im im)) (/ (log (sqrt (+ (* re re) (* im im)))) (neg (log 1/10))) (log (sqrt (+ (* re re) (* im im)))) (* re re) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (/ 1 (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) (log 1/10) (sqrt (+ (* re re) (* im im))))
18.0ms	im	@	inf	((/ (neg (log (sqrt (+ (* im im) (* re re))))) (log 1/10)) (neg (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (log im) (log 10) (+ (* re re) (* im im)) (/ (log (sqrt (+ (* re re) (* im im)))) (neg (log 1/10))) (log (sqrt (+ (* re re) (* im im)))) (* re re) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (/ 1 (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) (log 1/10) (sqrt (+ (* re re) (* im im))))
13.0ms	im	@	-inf	((/ (neg (log (sqrt (+ (* im im) (* re re))))) (log 1/10)) (neg (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (log im) (log 10) (+ (* re re) (* im im)) (/ (log (sqrt (+ (* re re) (* im im)))) (neg (log 1/10))) (log (sqrt (+ (* re re) (* im im)))) (* re re) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (/ 1 (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) (log 1/10) (sqrt (+ (* re re) (* im im))))
3.0ms	re	@	inf	((/ (neg (log (sqrt (+ (* im im) (* re re))))) (log 1/10)) (neg (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (log im) (log 10) (+ (* re re) (* im im)) (/ (log (sqrt (+ (* re re) (* im im)))) (neg (log 1/10))) (log (sqrt (+ (* re re) (* im im)))) (* re re) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (/ 1 (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) (log 1/10) (sqrt (+ (* re re) (* im im))))
3.0ms	re	@	-inf	((/ (neg (log (sqrt (+ (* im im) (* re re))))) (log 1/10)) (neg (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (log im) (log 10) (+ (* re re) (* im im)) (/ (log (sqrt (+ (* re re) (* im im)))) (neg (log 1/10))) (log (sqrt (+ (* re re) (* im im)))) (* re re) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (/ 1 (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) (log 1/10) (sqrt (+ (* re re) (* im im))))

simplify175.0ms (2.6%)

Memory

23.1MiB live, 255.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	633	8332
1	1909	8084
2	6902	8078
0	8057	7646

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 372

Calls

Call 1

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

rewrite224.0ms (3.4%)

Memory

-9.3MiB live, 290.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	98
0	52	94
1	130	94
2	570	94
3	4727	94
0	8678	93

Stop Event

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

Counts

19 → 1 087

Calls

Call 1

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

Outputs
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eval305.0ms (4.6%)

Memory: -20.3MiB live, 533.6MiB allocated
Compiler: Compiled 32 527 to 3 665 computations (88.7% saved)

prune60.0ms (0.9%)

Memory

-5.5MiB live, 154.4MiB allocated

Pruning

18 alts after pruning (15 fresh and 3 done)

	Pruned	Kept	Total
New	1 748	12	1 760
Fresh	4	3	7
Picked	2	3	5
Done	0	0	0
Total	1 754	18	1 772

Accuracy

100.0%

Counts

1 772 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.0%	(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 (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 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im)))) (log.f64 #s(literal 1/10 binary64)))
	99.0%	(/.f64 (.f64 (neg.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64)) (log.f64 #s(literal 10 binary64))))
	98.9%	(/.f64 (.f64 (neg.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))))
▶	47.3%	(/.f64 (.f64 (log.f64 (fma.f64 re re (.f64 im im))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
	47.4%	(/.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) (log.f64 #s(literal 1/10 binary64)))
✓	99.1%	(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64)))
▶	7.9%	(/.f64 (neg.f64 (log.f64 #s(approx (sqrt (+ (* im im) (* re re))) (fma.f64 (.f64 re #s(literal 1/2 binary64)) (.f64 (/.f64 im re) (/.f64 im re)) re)))) (log.f64 #s(literal 1/10 binary64)))
▶	98.7%	(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))
✓	99.0%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
	7.9%	(/.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 (.f64 re #s(literal 1/2 binary64)) (.f64 (/.f64 im re) (/.f64 im re)) re))) (log.f64 #s(literal 10 binary64)))
	3.2%	(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) im) (/.f64 (/.f64 im re) re) (log.f64 re))) (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))))
	99.0%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64))))
▶	99.1%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re))))
	73.6%	(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)))) #s(literal -1 binary64)))

Compiler

Compiled 401 to 356 computations (11.2% saved)

simplify152.0ms (2.3%)

Memory

13.6MiB live, 172.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
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	5824	(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))
cost-diff	7104	(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))
cost-diff	0	(log.f64 #s(approx (sqrt (+ (* im im) (* re re))) (fma.f64 (.f64 re #s(literal 1/2 binary64)) (.f64 (/.f64 im re) (/.f64 im re)) re)))
cost-diff	0	(neg.f64 (log.f64 #s(approx (sqrt (+ (* im im) (* re re))) (fma.f64 (.f64 re #s(literal 1/2 binary64)) (.f64 (/.f64 im re) (/.f64 im re)) re))))
cost-diff	0	(/.f64 (neg.f64 (log.f64 #s(approx (sqrt (+ (* im im) (* re re))) (fma.f64 (.f64 re #s(literal 1/2 binary64)) (.f64 (/.f64 im re) (/.f64 im re)) re)))) (log.f64 #s(literal 1/10 binary64)))
cost-diff	1024	(fma.f64 (.f64 re #s(literal 1/2 binary64)) (.f64 (/.f64 im re) (/.f64 im re)) re)
cost-diff	0	(fma.f64 re re (*.f64 im im))
cost-diff	0	(log.f64 (fma.f64 re re (*.f64 im im)))
cost-diff	0	(.f64 (log.f64 (fma.f64 re re (.f64 im im))) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (.f64 (log.f64 (fma.f64 re re (.f64 im im))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
cost-diff	0	(log.f64 im)
cost-diff	0	#s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))
cost-diff	0	(neg.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)))
cost-diff	0	(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))
cost-diff	0	(log.f64 (hypot.f64 im re))
cost-diff	0	(log.f64 #s(literal 1/10 binary64))
cost-diff	0	(/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re)))
cost-diff	576	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	274
0	68	259
1	97	253
2	154	252
3	245	252
4	358	237
5	465	237
6	786	237
7	2234	237
8	2972	237
9	3042	237
10	3071	237
11	3075	237
12	3075	237
13	3772	237
14	3793	237
15	3795	237
16	3795	237
17	3795	237
18	5504	237
19	5741	237
20	6157	237
21	6484	237
22	6941	237
0	8120	232

Stop Event

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

Calls

Call 1

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

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

localize107.0ms (1.6%)

Memory

5.5MiB live, 240.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.05990114174880414	#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
accuracy	0.1484375	(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))
accuracy	0.44759750976844204	(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))
accuracy	0.4948425781475362	(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
accuracy	0.4948425781475362	(/.f64 (neg.f64 (log.f64 #s(approx (sqrt (+ (* im im) (* re re))) (fma.f64 (.f64 re #s(literal 1/2 binary64)) (.f64 (/.f64 im re) (/.f64 im re)) re)))) (log.f64 #s(literal 1/10 binary64)))
accuracy	0.75	(log.f64 #s(literal 1/10 binary64))
accuracy	2.7727276077335965	(fma.f64 (.f64 re #s(literal 1/2 binary64)) (.f64 (/.f64 im re) (/.f64 im re)) re)
accuracy	44.85994517861119	#s(approx (sqrt (+ (* im im) (* re re))) (fma.f64 (.f64 re #s(literal 1/2 binary64)) (.f64 (/.f64 im re) (/.f64 im re)) re))
accuracy	0	(*.f64 im im)
accuracy	0	(log.f64 #s(literal 10 binary64))
accuracy	0.4948425781475362	(/.f64 (.f64 (log.f64 (fma.f64 re re (.f64 im im))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
accuracy	28.329468092153643	(log.f64 (fma.f64 re re (*.f64 im im)))
accuracy	0	(log.f64 im)
accuracy	0.05990114174880414	#s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))
accuracy	0.4948425781475362	(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))
accuracy	0.75	(log.f64 #s(literal 1/10 binary64))
accuracy	0	(log.f64 (hypot.f64 im re))
accuracy	0.18359375	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re))))
accuracy	0.4622650390737681	(/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re)))
accuracy	0.75	(log.f64 #s(literal 1/10 binary64))

Samples

60.0ms	192×	0	valid
20.0ms	64×	0	invalid

Compiler

Compiled 485 to 68 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-log: 18.0ms (30.4% of total)

ival-div: 10.0ms (16.9% of total)

ival-mult: 10.0ms (16.9% of total)

ival-hypot: 8.0ms (13.5% of total)

const: 5.0ms (8.5% of total)

ival-add: 2.0ms (3.4% of total)

ival-sqrt: 2.0ms (3.4% of total)

ival-pow2: 2.0ms (3.4% of total)

exact: 1.0ms (1.7% of total)

ival-neg: 1.0ms (1.7% of total)

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

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

series125.0ms (1.9%)

Memory

-26.5MiB live, 182.9MiB allocated

Counts

23 → 480

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
39.0ms	im	@	-inf	((/ -1 (/ (log 1/10) (log (sqrt (+ (* im im) (* re re)))))) (/ (log 1/10) (log (sqrt (+ (* im im) (* re re))))) (log 1/10) (log (sqrt (+ (* im im) (* re re)))) (/ (neg (log (sqrt (+ (* im im) (* re re))))) (log 1/10)) (neg (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (log im) (/ (* (log (+ (* re re) (* im im))) 1/2) (log 10)) (* (log (+ (* re re) (* im im))) 1/2) (log (+ (* re re) (* im im))) (+ (* re re) (* im im)) (+ (* (* re 1/2) (* (/ im re) (/ im re))) re) (/ (neg (log (sqrt (+ (* im im) (* re re))))) (log 1/10)) (neg (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (pow (pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) 1/2) 2) (pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) 1/2) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (log 10) (* im im) (sqrt (+ (* im im) (* re re))))
33.0ms	im	@	0	((/ -1 (/ (log 1/10) (log (sqrt (+ (* im im) (* re re)))))) (/ (log 1/10) (log (sqrt (+ (* im im) (* re re))))) (log 1/10) (log (sqrt (+ (* im im) (* re re)))) (/ (neg (log (sqrt (+ (* im im) (* re re))))) (log 1/10)) (neg (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (log im) (/ (* (log (+ (* re re) (* im im))) 1/2) (log 10)) (* (log (+ (* re re) (* im im))) 1/2) (log (+ (* re re) (* im im))) (+ (* re re) (* im im)) (+ (* (* re 1/2) (* (/ im re) (/ im re))) re) (/ (neg (log (sqrt (+ (* im im) (* re re))))) (log 1/10)) (neg (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (pow (pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) 1/2) 2) (pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) 1/2) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (log 10) (* im im) (sqrt (+ (* im im) (* re re))))
13.0ms	im	@	inf	((/ -1 (/ (log 1/10) (log (sqrt (+ (* im im) (* re re)))))) (/ (log 1/10) (log (sqrt (+ (* im im) (* re re))))) (log 1/10) (log (sqrt (+ (* im im) (* re re)))) (/ (neg (log (sqrt (+ (* im im) (* re re))))) (log 1/10)) (neg (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (log im) (/ (* (log (+ (* re re) (* im im))) 1/2) (log 10)) (* (log (+ (* re re) (* im im))) 1/2) (log (+ (* re re) (* im im))) (+ (* re re) (* im im)) (+ (* (* re 1/2) (* (/ im re) (/ im re))) re) (/ (neg (log (sqrt (+ (* im im) (* re re))))) (log 1/10)) (neg (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (pow (pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) 1/2) 2) (pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) 1/2) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (log 10) (* im im) (sqrt (+ (* im im) (* re re))))
7.0ms	re	@	inf	((/ -1 (/ (log 1/10) (log (sqrt (+ (* im im) (* re re)))))) (/ (log 1/10) (log (sqrt (+ (* im im) (* re re))))) (log 1/10) (log (sqrt (+ (* im im) (* re re)))) (/ (neg (log (sqrt (+ (* im im) (* re re))))) (log 1/10)) (neg (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (log im) (/ (* (log (+ (* re re) (* im im))) 1/2) (log 10)) (* (log (+ (* re re) (* im im))) 1/2) (log (+ (* re re) (* im im))) (+ (* re re) (* im im)) (+ (* (* re 1/2) (* (/ im re) (/ im re))) re) (/ (neg (log (sqrt (+ (* im im) (* re re))))) (log 1/10)) (neg (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (pow (pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) 1/2) 2) (pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) 1/2) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (log 10) (* im im) (sqrt (+ (* im im) (* re re))))
5.0ms	re	@	0	((/ -1 (/ (log 1/10) (log (sqrt (+ (* im im) (* re re)))))) (/ (log 1/10) (log (sqrt (+ (* im im) (* re re))))) (log 1/10) (log (sqrt (+ (* im im) (* re re)))) (/ (neg (log (sqrt (+ (* im im) (* re re))))) (log 1/10)) (neg (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (log im) (/ (* (log (+ (* re re) (* im im))) 1/2) (log 10)) (* (log (+ (* re re) (* im im))) 1/2) (log (+ (* re re) (* im im))) (+ (* re re) (* im im)) (+ (* (* re 1/2) (* (/ im re) (/ im re))) re) (/ (neg (log (sqrt (+ (* im im) (* re re))))) (log 1/10)) (neg (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (pow (pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) 1/2) 2) (pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) 1/2) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (log 10) (* im im) (sqrt (+ (* im im) (* re re))))

simplify225.0ms (3.4%)

Memory

46.0MiB live, 352.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	946	11295
1	2874	10871
0	8385	10339

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 473

Calls

Call 1

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

rewrite192.0ms (2.9%)

Memory

-35.4MiB live, 371.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	232
0	68	195
1	200	187
2	1057	187
0	8338	187

Stop Event

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

Counts

23 → 887

Calls

Call 1

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

Outputs
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eval287.0ms (4.3%)

Memory: 8.9MiB live, 605.4MiB allocated
Compiler: Compiled 30 696 to 4 155 computations (86.5% saved)

prune40.0ms (0.6%)

Memory

19.4MiB live, 137.4MiB allocated

Pruning

20 alts after pruning (14 fresh and 6 done)

	Pruned	Kept	Total
New	1 400	10	1 410
Fresh	6	4	10
Picked	2	3	5
Done	0	3	3
Total	1 408	20	1 428

Accuracy

100.0%

Counts

1 428 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.9%	(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))))) #s(literal 2 binary64))
	74.0%	(pow.f64 (sqrt.f64 (/.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))) #s(literal 2 binary64))
	98.6%	(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))))
	98.9%	(/.f64 (.f64 (neg.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))))
✓	47.3%	(/.f64 (.f64 (log.f64 (fma.f64 re re (.f64 im im))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
	98.7%	(/.f64 (.f64 #s(approx (log (+ ( re re) (* im im))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
	74.1%	(/.f64 (sqrt.f64 (/.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))) (sqrt.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)))))
✓	99.1%	(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64)))
✓	7.9%	(/.f64 (neg.f64 (log.f64 #s(approx (sqrt (+ (* im im) (* re re))) (fma.f64 (.f64 re #s(literal 1/2 binary64)) (.f64 (/.f64 im re) (/.f64 im re)) re)))) (log.f64 #s(literal 1/10 binary64)))
✓	98.7%	(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))
✓	99.0%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
	7.9%	(/.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 (.f64 re #s(literal 1/2 binary64)) (.f64 (/.f64 im re) (/.f64 im re)) re))) (log.f64 #s(literal 10 binary64)))
▶	3.2%	(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) im) (/.f64 (/.f64 im re) re) (log.f64 re))) (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))))
▶	98.7%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))))
	47.3%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) (*.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64))))
▶	99.0%	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) (log.f64 #s(literal 10 binary64))))
	74.2%	(.f64 (pow.f64 (sqrt.f64 #s(approx (log (sqrt (+ ( im im) (* re re)))) (log.f64 im))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
▶	74.6%	(sqrt.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))) #s(literal -2 binary64)))

Compiler

Compiled 410 to 367 computations (10.5% saved)

simplify54.0ms (0.8%)

Memory

-11.6MiB live, 33.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)))
cost-diff	0	(sqrt.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)))))
cost-diff	7808	(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))))) #s(literal 2 binary64))
cost-diff	0	(log.f64 #s(literal 10 binary64))
cost-diff	0	(/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)))
cost-diff	0	(pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))) #s(literal -2 binary64))
cost-diff	0	(sqrt.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))) #s(literal -2 binary64)))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) im)
cost-diff	0	(fma.f64 (*.f64 #s(literal 1/2 binary64) im) (/.f64 (/.f64 im re) re) (log.f64 re))
cost-diff	0	#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) im) (/.f64 (/.f64 im re) re) (log.f64 re)))
cost-diff	0	(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) im) (/.f64 (/.f64 im re) re) (log.f64 re))) (log.f64 #s(literal 10 binary64)))
cost-diff	0	#s(approx (log (sqrt (+ (* im im) (* re re)))) (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 (+ (* im im) (* re re)))) (log.f64 im)))
cost-diff	576	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))))
cost-diff	0	(log.f64 (hypot.f64 re im))
cost-diff	0	(/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im)))
cost-diff	192	(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) (log.f64 #s(literal 10 binary64)))
cost-diff	832	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) (log.f64 #s(literal 10 binary64))))

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	41	313
0	64	253
1	83	250
2	121	247
3	164	247
4	243	244
5	401	244
6	628	242
7	754	242
8	989	242
9	1311	242
10	1507	242
11	1685	242
12	1750	242
13	1780	242
14	1782	242
0	1782	242

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize115.0ms (1.7%)

Memory

-14.0MiB live, 220.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.05990114174880414	#s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))
accuracy	0.265625	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)))))
accuracy	0.44759750976844204	(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))))) #s(literal 2 binary64))
accuracy	0.4622650390737681	(/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)))
accuracy	0.05990114174880414	#s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))
accuracy	0.078125	(sqrt.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))) #s(literal -2 binary64)))
accuracy	0.3405075195368841	(pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))) #s(literal -2 binary64))
accuracy	0.4622650390737681	(/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)))
accuracy	0.0625	(fma.f64 (*.f64 #s(literal 1/2 binary64) im) (/.f64 (/.f64 im re) re) (log.f64 re))
accuracy	0.07421875	(/.f64 (/.f64 im re) re)
accuracy	0.4948425781475362	(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) im) (/.f64 (/.f64 im re) re) (log.f64 re))) (log.f64 #s(literal 10 binary64)))
accuracy	46.189146625501316	#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) im) (/.f64 (/.f64 im re) re) (log.f64 re)))
accuracy	0.05990114174880414	#s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))
accuracy	0.18359375	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))))
accuracy	0.4622650390737681	(/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)))
accuracy	0.75	(log.f64 #s(literal 1/10 binary64))
accuracy	0	(log.f64 #s(literal 10 binary64))
accuracy	0.18359375	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) (log.f64 #s(literal 10 binary64))))
accuracy	0.20703125	(/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im)))
accuracy	0.4443550293053261	(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) (log.f64 #s(literal 10 binary64)))

Samples

62.0ms	192×	0	valid
23.0ms	64×	0	invalid

Compiler

Compiled 488 to 69 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-log: 17.0ms (27.7% of total)

ival-div: 14.0ms (22.8% of total)

ival-hypot: 10.0ms (16.3% of total)

const: 5.0ms (8.2% of total)

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

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

ival-sqrt: 3.0ms (4.9% of total)

ival-pow2: 2.0ms (3.3% of total)

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

exact: 1.0ms (1.6% of total)

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

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

series76.0ms (1.1%)

Memory

3.3MiB live, 131.3MiB allocated

Counts

20 → 420

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
13.0ms	im	@	inf	((/ -1 (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) (log 10))) (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) (log 10)) (/ -1 (log (sqrt (+ (* re re) (* im im))))) (log (sqrt (+ (* re re) (* im im)))) (/ -1 (/ (log 1/10) (log (sqrt (+ (* im im) (* re re)))))) (/ (log 1/10) (log (sqrt (+ (* im im) (* re re))))) (log 1/10) (log (sqrt (+ (* im im) (* re re)))) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (+ (* (* 1/2 im) (/ (/ im re) re)) (log re)) (* 1/2 im) (sqrt (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -2)) (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -2) (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) (log 10) (pow (/ 1 (sqrt (/ (log 10) (log (sqrt (+ (* im im) (* re re))))))) 2) (/ 1 (sqrt (/ (log 10) (log (sqrt (+ (* im im) (* re re))))))) (sqrt (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) (/ (/ im re) re))
9.0ms	im	@	0	((/ -1 (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) (log 10))) (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) (log 10)) (/ -1 (log (sqrt (+ (* re re) (* im im))))) (log (sqrt (+ (* re re) (* im im)))) (/ -1 (/ (log 1/10) (log (sqrt (+ (* im im) (* re re)))))) (/ (log 1/10) (log (sqrt (+ (* im im) (* re re))))) (log 1/10) (log (sqrt (+ (* im im) (* re re)))) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (+ (* (* 1/2 im) (/ (/ im re) re)) (log re)) (* 1/2 im) (sqrt (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -2)) (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -2) (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) (log 10) (pow (/ 1 (sqrt (/ (log 10) (log (sqrt (+ (* im im) (* re re))))))) 2) (/ 1 (sqrt (/ (log 10) (log (sqrt (+ (* im im) (* re re))))))) (sqrt (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) (/ (/ im re) re))
9.0ms	re	@	inf	((/ -1 (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) (log 10))) (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) (log 10)) (/ -1 (log (sqrt (+ (* re re) (* im im))))) (log (sqrt (+ (* re re) (* im im)))) (/ -1 (/ (log 1/10) (log (sqrt (+ (* im im) (* re re)))))) (/ (log 1/10) (log (sqrt (+ (* im im) (* re re))))) (log 1/10) (log (sqrt (+ (* im im) (* re re)))) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (+ (* (* 1/2 im) (/ (/ im re) re)) (log re)) (* 1/2 im) (sqrt (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -2)) (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -2) (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) (log 10) (pow (/ 1 (sqrt (/ (log 10) (log (sqrt (+ (* im im) (* re re))))))) 2) (/ 1 (sqrt (/ (log 10) (log (sqrt (+ (* im im) (* re re))))))) (sqrt (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) (/ (/ im re) re))
8.0ms	re	@	-inf	((/ -1 (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) (log 10))) (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) (log 10)) (/ -1 (log (sqrt (+ (* re re) (* im im))))) (log (sqrt (+ (* re re) (* im im)))) (/ -1 (/ (log 1/10) (log (sqrt (+ (* im im) (* re re)))))) (/ (log 1/10) (log (sqrt (+ (* im im) (* re re))))) (log 1/10) (log (sqrt (+ (* im im) (* re re)))) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (+ (* (* 1/2 im) (/ (/ im re) re)) (log re)) (* 1/2 im) (sqrt (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -2)) (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -2) (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) (log 10) (pow (/ 1 (sqrt (/ (log 10) (log (sqrt (+ (* im im) (* re re))))))) 2) (/ 1 (sqrt (/ (log 10) (log (sqrt (+ (* im im) (* re re))))))) (sqrt (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) (/ (/ im re) re))
7.0ms	im	@	-inf	((/ -1 (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) (log 10))) (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) (log 10)) (/ -1 (log (sqrt (+ (* re re) (* im im))))) (log (sqrt (+ (* re re) (* im im)))) (/ -1 (/ (log 1/10) (log (sqrt (+ (* im im) (* re re)))))) (/ (log 1/10) (log (sqrt (+ (* im im) (* re re))))) (log 1/10) (log (sqrt (+ (* im im) (* re re)))) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (+ (* (* 1/2 im) (/ (/ im re) re)) (log re)) (* 1/2 im) (sqrt (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -2)) (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -2) (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) (log 10) (pow (/ 1 (sqrt (/ (log 10) (log (sqrt (+ (* im im) (* re re))))))) 2) (/ 1 (sqrt (/ (log 10) (log (sqrt (+ (* im im) (* re re))))))) (sqrt (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) (/ (/ im re) re))

simplify280.0ms (4.2%)

Memory

10.9MiB live, 398.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1519	15187
1	4898	14655
0	8827	14086

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

Calls

Call 1

Inputs
(/ (log im) (log 10))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10)))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10)))
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(* -1 (log (/ -1 im)))
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(/ (log (/ -1 im)) (log 1/10))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10)))
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(* -1 (/ (log 1/10) (log (/ -1 im))))
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(* -1 (/ (log (/ -1 im)) (log 10)))
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(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (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)))
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(* 1/2 (/ (pow im 2) (pow re 2)))
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(* (pow im 2) (+ (* 1/2 (/ 1 (pow re 2))) (/ (log re) (pow im 2))))
(* (pow im 2) (+ (* 1/2 (/ 1 (pow re 2))) (/ (log re) (pow im 2))))
(* 1/2 im)
(* 1/2 im)
(* 1/2 im)
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(* (sqrt (/ (log (/ -1 im)) (log 10))) (sqrt -1))
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(/ im (pow re 2))
(/ im (pow re 2))
(/ im (pow re 2))
(/ im (pow re 2))

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

rewrite166.0ms (2.5%)

Memory

21.8MiB live, 226.7MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	236
0	64	187
1	193	176
2	1108	173
0	8276	173

Stop Event

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

Counts

20 → 868

Calls

Call 1

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

Outputs
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eval235.0ms (3.5%)

Memory: 5.0MiB live, 465.8MiB allocated
Compiler: Compiled 34 706 to 4 375 computations (87.4% saved)

prune61.0ms (0.9%)

Memory

1.3MiB live, 115.5MiB allocated

Pruning

20 alts after pruning (12 fresh and 8 done)

	Pruned	Kept	Total
New	1 482	8	1 490
Fresh	5	4	9
Picked	3	2	5
Done	0	6	6
Total	1 490	20	1 510

Accuracy

100.0%

Counts

1 510 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.1%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) #s(literal -2 binary64))
	74.0%	(pow.f64 (sqrt.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))) #s(literal 2 binary64))
	98.6%	(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
	98.9%	(/.f64 (.f64 (neg.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))))
✓	47.3%	(/.f64 (.f64 (log.f64 (fma.f64 re re (.f64 im im))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
	98.7%	(/.f64 (.f64 #s(approx (log (+ ( re re) (* im im))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 #s(literal 2 binary64) (log.f64 im)))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
✓	99.1%	(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64)))
✓	7.9%	(/.f64 (neg.f64 (log.f64 #s(approx (sqrt (+ (* im im) (* re re))) (fma.f64 (.f64 re #s(literal 1/2 binary64)) (.f64 (/.f64 im re) (/.f64 im re)) re)))) (log.f64 #s(literal 1/10 binary64)))
	3.1%	(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) re) (*.f64 (/.f64 im re) im) (log.f64 re)))) (log.f64 #s(literal 1/10 binary64)))
✓	98.7%	(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))
✓	99.0%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
	7.9%	(/.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 (.f64 re #s(literal 1/2 binary64)) (.f64 (/.f64 im re) (/.f64 im re)) re))) (log.f64 #s(literal 10 binary64)))
✓	3.2%	(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) im) (/.f64 (/.f64 im re) re) (log.f64 re))) (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)))
	3.0%	(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) #s(approx (+ (* (* 1/2 im) (/ (/ im re) re)) (log re)) (.f64 (/.f64 (.f64 im im) re) (/.f64 #s(literal 1/2 binary64) re)))) (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))))
✓	98.7%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))))
	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 10 binary64))))
	74.6%	(sqrt.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 #s(literal 1/10 binary64))) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))) #s(literal -2 binary64)))
	74.0%	(sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))) #s(literal 4 binary64)))

Compiler

Compiled 739 to 367 computations (50.3% saved)

regimes102.0ms (1.5%)

Memory

-13.5MiB live, 120.5MiB allocated

Counts

43 → 1

Calls

Call 1

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

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

Calls

8 calls:

17.0ms	(*.f64 im im)
15.0ms	im
15.0ms	(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
12.0ms	re
11.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))

Results

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

Compiler

Compiled 44 to 38 computations (13.6% saved)

regimes46.0ms (0.7%)

Memory

22.1MiB live, 59.4MiB allocated

Counts

18 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
99.0%	1	`re`
99.0%	1	`(*.f64 re re)`
99.0%	1	`im`
99.0%	1	`(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))`
99.0%	1	`(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))`
99.0%	1	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
99.0%	1	`(+.f64 (.f64 re re) (.f64 im im))`
99.0%	1	`(*.f64 im im)`

Compiler

Compiled 44 to 38 computations (13.6% saved)

regimes50.0ms (0.7%)

Memory

-22.9MiB live, 57.7MiB allocated

Counts

17 → 1

Calls

Call 1

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

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

Calls

8 calls:

10.0ms	(*.f64 re re)
8.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))
5.0ms	re
5.0ms	im
5.0ms	(+.f64 (.f64 re re) (.f64 im im))

Results

Accuracy	Segments	Branch
98.7%	1	`im`
98.7%	1	`(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))`
98.7%	1	`(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))`
98.7%	1	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
98.7%	1	`(+.f64 (.f64 re re) (.f64 im im))`
98.7%	1	`(*.f64 im im)`
98.7%	1	`re`
98.7%	1	`(*.f64 re re)`

Compiler

Compiled 44 to 38 computations (13.6% saved)

regimes40.0ms (0.6%)

Memory

19.1MiB live, 56.9MiB allocated

Counts

15 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
98.7%	1	`re`
98.7%	1	`im`
98.7%	1	`(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))`
98.7%	1	`(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))`
98.7%	1	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
98.7%	1	`(+.f64 (.f64 re re) (.f64 im im))`
98.7%	1	`(*.f64 re re)`
98.7%	1	`(*.f64 im im)`

Compiler

Compiled 44 to 38 computations (13.6% saved)

regimes16.0ms (0.2%)

Memory

-10.0MiB live, 27.9MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

Calls

8 calls:

5.0ms	(+.f64 (.f64 re re) (.f64 im im))
2.0ms	im
2.0ms	re
2.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))
1.0ms	(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))

Results

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

Compiler

Compiled 44 to 38 computations (13.6% saved)

regimes17.0ms (0.3%)

Memory

-17.6MiB live, 25.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs

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

Outputs

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

Calls

8 calls:

8.0ms	im
1.0ms	re
1.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
1.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))
1.0ms	(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))

Results

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

Compiler

Compiled 44 to 38 computations (13.6% saved)

simplify27.0ms (0.4%)

Memory

10.8MiB live, 48.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	106
1	62	106
2	73	106
3	81	106
4	85	106
5	86	106

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness936.0ms (14.1%)

Memory

-0.2MiB live, 775.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	41
0	17	41
1	44	41
2	251	41
3	2046	41
0	8387	25
0	1519	15187
1	4898	14655
0	8827	14086
0	633	8332
1	1909	8084
2	6902	8078
0	8057	7646
0	31	98
0	52	94
1	130	94
2	570	94
3	4727	94
0	8678	93
0	268	1676
1	730	1632
2	2203	1630
3	5799	1618
0	8392	1506
0	946	11295
1	2874	10871
0	8385	10339

Stop Event

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

Compiler

Compiled 210 to 147 computations (30% saved)

preprocess71.0ms (1.1%)

Memory

11.9MiB live, 125.3MiB allocated

Remove

(sort re im)

(abs re)

(abs im)

Compiler

Compiled 382 to 326 computations (14.7% saved)

end0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB 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	31	132
0	52	130
1	70	130
2	83	130
3	95	130
4	130	130
5	175	130
6	210	130
7	228	130
8	236	130
9	242	130
10	245	130
11	251	130
12	251	130
0	251	129

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	31	132
0	52	130
1	70	130
2	83	130
3	95	130
4	130	130
5	175	130
6	210	130
7	228	130
8	236	130
9	242	130
10	245	130
11	251	130
12	251	130
0	251	129

start0.0ms (0%)

analyze57.0ms (0.9%)

sample1.4s (21%)

explain177.0ms (2.7%)

preprocess18.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize50.0ms (0.8%)

series30.0ms (0.5%)

simplify201.0ms (3%)

rewrite177.0ms (2.7%)

eval63.0ms (0.9%)

prune17.0ms (0.2%)

simplify12.0ms (0.2%)

localize95.0ms (1.4%)

series155.0ms (2.3%)

simplify175.0ms (2.6%)

rewrite224.0ms (3.4%)

eval305.0ms (4.6%)

prune60.0ms (0.9%)

simplify152.0ms (2.3%)

localize107.0ms (1.6%)

series125.0ms (1.9%)

simplify225.0ms (3.4%)

rewrite192.0ms (2.9%)

eval287.0ms (4.3%)

prune40.0ms (0.6%)

simplify54.0ms (0.8%)

localize115.0ms (1.7%)

series76.0ms (1.1%)

simplify280.0ms (4.2%)

rewrite166.0ms (2.5%)

eval235.0ms (3.5%)

prune61.0ms (0.9%)

regimes102.0ms (1.5%)

regimes46.0ms (0.7%)

regimes50.0ms (0.7%)

regimes40.0ms (0.6%)

regimes16.0ms (0.2%)

regimes17.0ms (0.3%)

simplify27.0ms (0.4%)

soundness936.0ms (14.1%)

preprocess71.0ms (1.1%)

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	31	132
0	52	130
1	70	130
2	83	130
3	95	130
4	130	130
5	175	130
6	210	130
7	228	130
8	236	130
9	242	130
10	245	130
11	251	130
12	251	130
0	251	129