Metrics for math.log10 on complex, real part

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze138.0ms (2%)

Memory

-1.3MiB live, 77.1MiB 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)

sample1.3s (17.9%)

Memory

-2.5MiB live, 1 151.7MiB allocated

Samples

913.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 621.0ms

ival-log: 308.0ms (49.6% of total)

ival-hypot: 233.0ms (37.5% of total)

ival-div: 66.0ms (10.6% of total)

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

exact: 5.0ms (0.8% of total)

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

Bogosity

explain166.0ms (2.4%)

Memory

-3.6MiB live, 271.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
118	-	3	(-2.869510445188418e-159 -1.4518465782916058e-295)	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
0	-	0	-	`(log.f64 #s(literal 10 binary64))`
0	-	0	-	`(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))`
0	-	0	-	`(*.f64 re re)`
0	-	0	-	`im`
0	-	0	-	`(+.f64 (.f64 re re) (.f64 im im))`
0	-	0	-	`re`
0	-	0	-	`(*.f64 im im)`
0	-	0	-	`#s(literal 10 binary64)`
0	-	0	-	`(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`	oflow-rescue	105	0
↳	`(+.f64 (.f64 re re) (.f64 im im))`	overflow	105
↳	`(*.f64 re re)`	overflow	61
↳	`(*.f64 im im)`	overflow	58
`sqrt.f64`	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`	uflow-rescue	10	0
↳	`(+.f64 (.f64 re re) (.f64 im im))`	underflow	10
↳	`(*.f64 re re)`	underflow	70
↳	`(*.f64 im im)`	underflow	57

Confusion

	Predicted +	Predicted -
+	115	3
-	0	138

Precision

1.0

Recall

0.9745762711864406

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	115	0	3
-	0	0	138

Precision?

1.0

Recall?

0.9745762711864406

Freqs

test

number	freq
0	141
1	115

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

77.0ms

512×

valid

Compiler

Compiled 112 to 34 computations (69.6% saved)

Precisions

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

ival-mult: 34.0ms (54.9% of total)

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

ival-hypot: 9.0ms (14.5% of total)

ival-div: 3.0ms (4.8% of total)

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

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

exact: 0.0ms (0% of total)

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

preprocess51.0ms (0.7%)

Memory

-2.0MiB live, 38.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs im)

(abs re)

(sort re im)

Compiler

Compiled 14 to 10 computations (28.6% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.8%	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify4.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize40.0ms (0.6%)

Memory

27.1MiB live, 99.7MiB 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	0.5511513183790941	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))
accuracy	26.96398892846283	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Samples

30.0ms

256×

valid

Compiler

Compiled 49 to 12 computations (75.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-hypot: 7.0ms (35.5% of total)

ival-log: 6.0ms (30.4% of total)

ival-mult: 3.0ms (15.2% of total)

ival-div: 2.0ms (10.1% of total)

ival-add: 1.0ms (5.1% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.2%)

Memory

-6.8MiB live, 30.8MiB allocated

Counts

5 → 96

Calls

Call 1

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

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

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	re	@	0	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
2.0ms	im	@	inf	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
1.0ms	re	@	inf	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
1.0ms	im	@	0	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
0.0ms	re	@	inf	(log (sqrt (+ (* re re) (* im im))))

simplify201.0ms (2.9%)

Memory

-26.3MiB live, 255.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	268	1640
1	730	1596
2	2198	1594
3	5817	1582
0	8414	1470

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 92

Calls

Call 1

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

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

rewrite161.0ms (2.3%)

Memory

23.9MiB live, 303.4MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
0	17	38
1	44	38
2	251	38
3	2046	38
0	8387	22

Stop Event

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

Counts

5 → 311

Calls

Call 1

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

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

eval70.0ms (1%)

Memory: 17.5MiB live, 133.6MiB allocated
Compiler: Compiled 16 481 to 1 722 computations (89.6% saved)

prune113.0ms (1.6%)

Memory

-36.5MiB live, 224.0MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

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

Accuracy

99.5%

Counts

404 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	36.8%	(pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
▶	36.7%	(pow.f64 (exp.f64 (log.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re))))))) #s(literal -1 binary64))
	55.5%	(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64))) (neg.f64 (/.f64 #s(literal 2 binary64) (log.f64 (fma.f64 im im (*.f64 re re))))))
	55.6%	(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal 2 binary64) (log.f64 (fma.f64 im im (*.f64 re re)))))
	55.6%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/2 binary64)))) (.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)) (.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)))))
	55.4%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (log.f64 #s(literal 10 binary64))) (.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))))) (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64))))
	55.8%	(/.f64 (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
	55.6%	(/.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))) (log.f64 #s(literal 1/10 binary64)))
▶	99.1%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
	7.4%	(/.f64 (log.f64 (sqrt.f64 (.f64 (/.f64 (fma.f64 (.f64 (.f64 im im) im) (.f64 (.f64 im im) im) (.f64 (.f64 (.f64 re re) re) (.f64 (.f64 re re) re))) (fma.f64 (.f64 (.f64 (.f64 (.f64 re re) re) re) (.f64 (.f64 (.f64 re re) re) (.f64 (.f64 re re) re))) (.f64 re re) (.f64 (.f64 (.f64 (.f64 (+.f64 im re) (-.f64 im re)) (.f64 im im)) (.f64 (.f64 (+.f64 im re) (-.f64 im re)) (.f64 im im))) (.f64 (.f64 (+.f64 im re) (-.f64 im re)) (.f64 im im))))) (fma.f64 (.f64 (.f64 (.f64 re re) re) (.f64 (.f64 (.f64 re re) re) re)) re (.f64 (.f64 (.f64 (+.f64 im re) (-.f64 im re)) (.f64 im im)) (-.f64 (.f64 (.f64 (+.f64 im re) (-.f64 im re)) (.f64 im im)) (.f64 (.f64 (*.f64 re re) re) re))))))) (log.f64 #s(literal 10 binary64)))
▶	98.1%	(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
▶	55.7%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re))))))
	15.5%	(-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (.f64 (.f64 im im) im) (.f64 (.f64 im im) im) (.f64 (.f64 (.f64 re re) re) (.f64 (.f64 re re) re))))) (log.f64 #s(literal 10 binary64))) (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (.f64 (.f64 im im) im) im (.f64 (.f64 re re) (.f64 (-.f64 re im) (+.f64 im re)))))) (log.f64 #s(literal 10 binary64))))

Compiler

Compiled 764 to 364 computations (52.4% saved)

simplify14.0ms (0.2%)

Memory

-15.9MiB live, 23.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))))
cost-diff	0	(log.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re))))))
cost-diff	6464	(pow.f64 (exp.f64 (log.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re))))))) #s(literal -1 binary64))
cost-diff	12800	(exp.f64 (log.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))))))
cost-diff	0	(log.f64 #s(literal 1/10 binary64))
cost-diff	0	(/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))))
cost-diff	0	(pow.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re))))) #s(literal -1/2 binary64))
cost-diff	12928	(pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
cost-diff	0	(.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re))))
cost-diff	0	(log.f64 #s(literal 1/10 binary64))
cost-diff	0	(/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re))))))
cost-diff	0	(log.f64 #s(literal 10 binary64))
cost-diff	0	(log.f64 im)
cost-diff	0	#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
cost-diff	0	(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
cost-diff	0	(log.f64 #s(literal 10 binary64))
cost-diff	0	(log.f64 (hypot.f64 re im))
cost-diff	0	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
cost-diff	5120	(hypot.f64 re im)

Rules

110×	`lower-*.f32`
106×	`lower-*.f64`
84×	`lower-/.f32`
76×	`lower-/.f64`
42×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	261
0	51	255
1	63	255
2	77	249
3	97	249
4	131	249
5	142	249
6	144	249
7	150	249
8	156	249
9	165	249
10	194	249
11	223	249
12	247	249
13	277	249
0	277	249

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize121.0ms (1.7%)

Memory

31.4MiB live, 266.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.38804628907376815	(/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))))
accuracy	0.76953125	(log.f64 #s(literal 1/10 binary64))
accuracy	0.8755418821262729	(exp.f64 (log.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))))))
accuracy	25.423890286609904	(log.f64 (fma.f64 im im (*.f64 re re)))
accuracy	0.3600387695368841	(pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
accuracy	0.38804628907376815	(/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))))
accuracy	0.76953125	(log.f64 #s(literal 1/10 binary64))
accuracy	25.423890286609904	(log.f64 (fma.f64 im im (*.f64 re re)))
accuracy	0.1953125	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re))))))
accuracy	0.38804628907376815	(/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))))
accuracy	0.76953125	(log.f64 #s(literal 1/10 binary64))
accuracy	25.423890286609904	(log.f64 (fma.f64 im im (*.f64 re re)))
accuracy	0	(log.f64 im)
accuracy	0	(log.f64 #s(literal 10 binary64))
accuracy	0.2971962783533254	#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
accuracy	0.4170112793053261	(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
accuracy	0	(hypot.f64 re im)
accuracy	0	(log.f64 (hypot.f64 re im))
accuracy	0	(log.f64 #s(literal 10 binary64))
accuracy	0.4170112793053261	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))

Samples

59.0ms	197×	0	valid
16.0ms	59×	0	invalid

Compiler

Compiled 300 to 28 computations (90.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-log: 20.0ms (36.5% of total)

ival-pow: 9.0ms (16.4% of total)

ival-mult: 6.0ms (11% of total)

ival-div: 5.0ms (9.1% of total)

ival-hypot: 5.0ms (9.1% of total)

const: 4.0ms (7.3% of total)

ival-exp: 2.0ms (3.7% of total)

ival-pow2: 2.0ms (3.7% of total)

ival-add: 1.0ms (1.8% of total)

exact: 1.0ms (1.8% of total)

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

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

series168.0ms (2.4%)

Memory

-12.1MiB live, 264.3MiB allocated

Counts

17 → 348

Calls

Call 1

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

Outputs
#s(alt im (taylor 0 re) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt (+ im (* 1/2 (/ (pow re 2) im))) (taylor 0 re) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt (+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im))))) (taylor 0 re) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt (+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im))))) (taylor 0 re) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt re (taylor inf re) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))) (taylor inf re) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))) (taylor inf re) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))) (taylor inf re) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt (* -1 re) (taylor -inf re) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))) (taylor -inf re) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))) (taylor -inf re) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))) (taylor -inf re) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt re (taylor 0 im) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt (+ re (* 1/2 (/ (pow im 2) re))) (taylor 0 im) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt (+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re))))) (taylor 0 im) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt (+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re))))) (taylor 0 im) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt im (taylor inf im) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))) (taylor inf im) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))) (taylor inf im) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))) (taylor inf im) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt (* -1 im) (taylor -inf im) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))) (taylor -inf im) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))) (taylor -inf im) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))) (taylor -inf im) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt (/ (log im) (log 10)) (taylor 0 re) (#s(alt (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10))) (taylor 0 re) (#s(alt (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) (taylor 0 re) (#s(alt (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) (taylor 0 re) (#s(alt (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log (/ 1 re)) (log 10))) (taylor inf re) (#s(alt (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log (/ 1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))) (taylor inf re) (#s(alt (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))) (taylor inf re) (#s(alt (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))) (taylor inf re) (#s(alt (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log (/ -1 re)) (log 10))) (taylor -inf re) (#s(alt (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log (/ -1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))) (taylor -inf re) (#s(alt (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
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#s(alt (log (* -2 (/ (log 1/10) (log (pow im 2))))) (taylor 0 re) (#s(alt (log.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))))) (patch (log.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))))) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -2 (/ (log 1/10) (log (pow im 2))))) (* -1 (/ (pow re 2) (* (pow im 2) (log (pow im 2)))))) (taylor 0 re) (#s(alt (log.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))))) (patch (log.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))))) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -2 (/ (log 1/10) (log (pow im 2))))) (* (pow re 2) (- (* 1/24 (* (pow re 2) (- (* -24 (/ (* (log (pow im 2)) (+ (* -1 (/ (log 1/10) (* (pow im 4) (pow (log (pow im 2)) 3)))) (* -1/2 (/ (log 1/10) (* (pow im 4) (pow (log (pow im 2)) 2)))))) (log 1/10))) (* 12 (/ 1 (* (pow im 4) (pow (log (pow im 2)) 2))))))) (/ 1 (* (pow im 2) (log (pow im 2))))))) (taylor 0 re) (#s(alt (log.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))))) (patch (log.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))))) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -2 (/ (log 1/10) (log (pow im 2))))) (* (pow re 2) (- (* (pow re 2) (+ (* 1/720 (* (pow re 2) (- (+ (* -720 (/ (* (log (pow im 2)) (+ (* -1 (/ (+ (* -1 (/ (log 1/10) (* (pow im 4) (pow (log (pow im 2)) 3)))) (* -1/2 (/ (log 1/10) (* (pow im 4) (pow (log (pow im 2)) 2))))) (* (pow im 2) (log (pow im 2))))) (+ (* 1/3 (/ (log 1/10) (* (pow im 6) (pow (log (pow im 2)) 2)))) (* 1/2 (/ (log 1/10) (* (pow im 6) (pow (log (pow im 2)) 3))))))) (log 1/10))) (* -720 (/ (+ (* -1 (/ (log 1/10) (* (pow im 4) (pow (log (pow im 2)) 3)))) (* -1/2 (/ (log 1/10) (* (pow im 4) (pow (log (pow im 2)) 2))))) (* (pow im 2) (log 1/10))))) (* 240 (/ 1 (* (pow im 6) (pow (log (pow im 2)) 3))))))) (* 1/24 (- (* -24 (/ (* (log (pow im 2)) (+ (* -1 (/ (log 1/10) (* (pow im 4) (pow (log (pow im 2)) 3)))) (* -1/2 (/ (log 1/10) (* (pow im 4) (pow (log (pow im 2)) 2)))))) (log 1/10))) (* 12 (/ 1 (* (pow im 4) (pow (log (pow im 2)) 2)))))))) (/ 1 (* (pow im 2) (log (pow im 2))))))) (taylor 0 re) (#s(alt (log.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))))) (patch (log.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))))) #<representation binary64>) () ())) ())
#s(alt (log (/ (log 1/10) (log (/ 1 re)))) (taylor inf re) (#s(alt (log.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))))) (patch (log.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))))) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ (log 1/10) (log (/ 1 re)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log (/ 1 re)))))) (taylor inf re) (#s(alt (log.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))))) (patch (log.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))))) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ (log 1/10) (log (/ 1 re)))) (+ (* 1/24 (/ (+ (* -3 (/ (pow im 4) (pow (log (/ 1 re)) 2))) (* 48 (/ (* (log (/ 1 re)) (+ (* -1/8 (/ (* (pow im 4) (log 1/10)) (pow (log (/ 1 re)) 2))) (* 1/8 (/ (* (pow im 4) (log 1/10)) (pow (log (/ 1 re)) 3))))) (log 1/10)))) (pow re 4))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log (/ 1 re))))))) (taylor inf re) (#s(alt (log.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))))) (patch (log.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))))) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ (log 1/10) (log (/ 1 re)))) (+ (* 1/720 (/ (+ (* -720 (/ (* (pow im 2) (+ (* -1/8 (/ (* (pow im 4) (log 1/10)) (pow (log (/ 1 re)) 2))) (* 1/8 (/ (* (pow im 4) (log 1/10)) (pow (log (/ 1 re)) 3))))) (log 1/10))) (+ (* 30 (/ (pow im 6) (pow (log (/ 1 re)) 3))) (* 1440 (/ (* (log (/ 1 re)) (+ (* -1/16 (/ (* (pow im 6) (log 1/10)) (pow (log (/ 1 re)) 3))) (+ (* 1/12 (/ (* (pow im 6) (log 1/10)) (pow (log (/ 1 re)) 2))) (* 1/2 (/ (* (pow im 2) (+ (* -1/8 (/ (* (pow im 4) (log 1/10)) (pow (log (/ 1 re)) 2))) (* 1/8 (/ (* (pow im 4) (log 1/10)) (pow (log (/ 1 re)) 3))))) (log (/ 1 re))))))) (log 1/10))))) (pow re 6))) (+ (* 1/24 (/ (+ (* -3 (/ (pow im 4) (pow (log (/ 1 re)) 2))) (* 48 (/ (* (log (/ 1 re)) (+ (* -1/8 (/ (* (pow im 4) (log 1/10)) (pow (log (/ 1 re)) 2))) (* 1/8 (/ (* (pow im 4) (log 1/10)) (pow (log (/ 1 re)) 3))))) (log 1/10)))) (pow re 4))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log (/ 1 re)))))))) (taylor inf re) (#s(alt (log.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))))) (patch (log.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))))) #<representation binary64>) () ())) ())
#s(alt (log (/ (log 1/10) (log (/ -1 re)))) (taylor -inf re) (#s(alt (log.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))))) (patch (log.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))))) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ (log 1/10) (log (/ -1 re)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log (/ -1 re)))))) (taylor -inf re) (#s(alt (log.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))))) (patch (log.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))))) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ (log 1/10) (log (/ -1 re)))) (+ (* 1/24 (/ (+ (* -3 (/ (pow im 4) (pow (log (/ -1 re)) 2))) (* 48 (/ (* (log (/ -1 re)) (+ (* -1/8 (/ (* (pow im 4) (log 1/10)) (pow (log (/ -1 re)) 2))) (* 1/8 (/ (* (pow im 4) (log 1/10)) (pow (log (/ -1 re)) 3))))) (log 1/10)))) (pow re 4))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log (/ -1 re))))))) (taylor -inf re) (#s(alt (log.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))))) (patch (log.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))))) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ (log 1/10) (log (/ -1 re)))) (+ (* 1/720 (/ (+ (* -720 (/ (* (pow im 2) (+ (* -1/8 (/ (* (pow im 4) (log 1/10)) (pow (log (/ -1 re)) 2))) (* 1/8 (/ (* (pow im 4) (log 1/10)) (pow (log (/ -1 re)) 3))))) (log 1/10))) (+ (* 30 (/ (pow im 6) (pow (log (/ -1 re)) 3))) (* 1440 (/ (* (log (/ -1 re)) (+ (* -1/16 (/ (* (pow im 6) (log 1/10)) (pow (log (/ -1 re)) 3))) (+ (* 1/12 (/ (* (pow im 6) (log 1/10)) (pow (log (/ -1 re)) 2))) (* 1/2 (/ (* (pow im 2) (+ (* -1/8 (/ (* (pow im 4) (log 1/10)) (pow (log (/ -1 re)) 2))) (* 1/8 (/ (* (pow im 4) (log 1/10)) (pow (log (/ -1 re)) 3))))) (log (/ -1 re))))))) (log 1/10))))) (pow re 6))) (+ (* 1/24 (/ (+ (* -3 (/ (pow im 4) (pow (log (/ -1 re)) 2))) (* 48 (/ (* (log (/ -1 re)) (+ (* -1/8 (/ (* (pow im 4) (log 1/10)) (pow (log (/ -1 re)) 2))) (* 1/8 (/ (* (pow im 4) (log 1/10)) (pow (log (/ -1 re)) 3))))) (log 1/10)))) (pow re 4))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log (/ -1 re)))))))) (taylor -inf re) (#s(alt (log.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))))) (patch (log.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))))) #<representation binary64>) () ())) ())
#s(alt (log (pow re 2)) (taylor 0 im) (#s(alt (log.f64 (fma.f64 im im (.f64 re re))) (patch (log.f64 (fma.f64 im im (.f64 re re))) #<representation binary64>) () ())) ())
#s(alt (+ (log (pow re 2)) (/ (pow im 2) (pow re 2))) (taylor 0 im) (#s(alt (log.f64 (fma.f64 im im (.f64 re re))) (patch (log.f64 (fma.f64 im im (.f64 re re))) #<representation binary64>) () ())) ())
#s(alt (+ (log (pow re 2)) (* (pow im 2) (+ (* -1/2 (/ (pow im 2) (pow re 4))) (/ 1 (pow re 2))))) (taylor 0 im) (#s(alt (log.f64 (fma.f64 im im (.f64 re re))) (patch (log.f64 (fma.f64 im im (.f64 re re))) #<representation binary64>) () ())) ())
#s(alt (+ (log (pow re 2)) (* (pow im 2) (+ (* (pow im 2) (- (* 1/3 (/ (pow im 2) (pow re 6))) (* 1/2 (/ 1 (pow re 4))))) (/ 1 (pow re 2))))) (taylor 0 im) (#s(alt (log.f64 (fma.f64 im im (.f64 re re))) (patch (log.f64 (fma.f64 im im (.f64 re re))) #<representation binary64>) () ())) ())
#s(alt (* -2 (log (/ 1 im))) (taylor inf im) (#s(alt (log.f64 (fma.f64 im im (.f64 re re))) (patch (log.f64 (fma.f64 im im (.f64 re re))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (log (/ 1 im))) (/ (pow re 2) (pow im 2))) (taylor inf im) (#s(alt (log.f64 (fma.f64 im im (.f64 re re))) (patch (log.f64 (fma.f64 im im (.f64 re re))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2)))) (taylor inf im) (#s(alt (log.f64 (fma.f64 im im (.f64 re re))) (patch (log.f64 (fma.f64 im im (.f64 re re))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2))))) (taylor inf im) (#s(alt (log.f64 (fma.f64 im im (.f64 re re))) (patch (log.f64 (fma.f64 im im (.f64 re re))) #<representation binary64>) () ())) ())
#s(alt (* -2 (log (/ -1 im))) (taylor -inf im) (#s(alt (log.f64 (fma.f64 im im (.f64 re re))) (patch (log.f64 (fma.f64 im im (.f64 re re))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (log (/ -1 im))) (/ (pow re 2) (pow im 2))) (taylor -inf im) (#s(alt (log.f64 (fma.f64 im im (.f64 re re))) (patch (log.f64 (fma.f64 im im (.f64 re re))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2)))) (taylor -inf im) (#s(alt (log.f64 (fma.f64 im im (.f64 re re))) (patch (log.f64 (fma.f64 im im (.f64 re re))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2))))) (taylor -inf im) (#s(alt (log.f64 (fma.f64 im im (.f64 re re))) (patch (log.f64 (fma.f64 im im (.f64 re re))) #<representation binary64>) () ())) ())
#s(alt (log (pow im 2)) (taylor 0 re) (#s(alt (log.f64 (fma.f64 im im (.f64 re re))) (patch (log.f64 (fma.f64 im im (.f64 re re))) #<representation binary64>) () ())) ())
#s(alt (+ (log (pow im 2)) (/ (pow re 2) (pow im 2))) (taylor 0 re) (#s(alt (log.f64 (fma.f64 im im (.f64 re re))) (patch (log.f64 (fma.f64 im im (.f64 re re))) #<representation binary64>) () ())) ())
#s(alt (+ (log (pow im 2)) (* (pow re 2) (+ (* -1/2 (/ (pow re 2) (pow im 4))) (/ 1 (pow im 2))))) (taylor 0 re) (#s(alt (log.f64 (fma.f64 im im (.f64 re re))) (patch (log.f64 (fma.f64 im im (.f64 re re))) #<representation binary64>) () ())) ())
#s(alt (+ (log (pow im 2)) (* (pow re 2) (+ (* (pow re 2) (- (* 1/3 (/ (pow re 2) (pow im 6))) (* 1/2 (/ 1 (pow im 4))))) (/ 1 (pow im 2))))) (taylor 0 re) (#s(alt (log.f64 (fma.f64 im im (.f64 re re))) (patch (log.f64 (fma.f64 im im (.f64 re re))) #<representation binary64>) () ())) ())
#s(alt (* -2 (log (/ 1 re))) (taylor inf re) (#s(alt (log.f64 (fma.f64 im im (.f64 re re))) (patch (log.f64 (fma.f64 im im (.f64 re re))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (log (/ 1 re))) (/ (pow im 2) (pow re 2))) (taylor inf re) (#s(alt (log.f64 (fma.f64 im im (.f64 re re))) (patch (log.f64 (fma.f64 im im (.f64 re re))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (log (/ 1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2)))) (taylor inf re) (#s(alt (log.f64 (fma.f64 im im (.f64 re re))) (patch (log.f64 (fma.f64 im im (.f64 re re))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (log (/ 1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (+ (* 1/3 (/ (pow im 6) (pow re 6))) (/ (pow im 2) (pow re 2))))) (taylor inf re) (#s(alt (log.f64 (fma.f64 im im (.f64 re re))) (patch (log.f64 (fma.f64 im im (.f64 re re))) #<representation binary64>) () ())) ())
#s(alt (* -2 (log (/ -1 re))) (taylor -inf re) (#s(alt (log.f64 (fma.f64 im im (.f64 re re))) (patch (log.f64 (fma.f64 im im (.f64 re re))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (log (/ -1 re))) (/ (pow im 2) (pow re 2))) (taylor -inf re) (#s(alt (log.f64 (fma.f64 im im (.f64 re re))) (patch (log.f64 (fma.f64 im im (.f64 re re))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (log (/ -1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2)))) (taylor -inf re) (#s(alt (log.f64 (fma.f64 im im (.f64 re re))) (patch (log.f64 (fma.f64 im im (.f64 re re))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (log (/ -1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (+ (* 1/3 (/ (pow im 6) (pow re 6))) (/ (pow im 2) (pow re 2))))) (taylor -inf re) (#s(alt (log.f64 (fma.f64 im im (.f64 re re))) (patch (log.f64 (fma.f64 im im (.f64 re re))) #<representation binary64>) () ())) ())

Calls

87 calls:

Time	Variable		Point	Expression
39.0ms	im	@	-inf	(log im)
32.0ms	im	@	inf	(pow (/ (log 1/10) (* -1/2 (log (+ (* im im) (* re re))))) -1/2)
28.0ms	im	@	0	(log im)
6.0ms	im	@	inf	(log im)
4.0ms	re	@	inf	(log (/ (log 1/10) (* -1/2 (log (+ (* im im) (* re re))))))

simplify238.0ms (3.4%)

Memory

18.9MiB live, 408.0MiB allocated

Algorithm

1×	egg-herbie

Rules

10 388×	`lower-fma.f64`
10 388×	`lower-fma.f32`
7 628×	`lower-*.f64`
7 628×	`lower-*.f32`
5 384×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1125	12014
1	3394	11598
0	8785	11040

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 344

Calls

Call 1

Inputs
im
(+ im (* 1/2 (/ (pow re 2) im)))
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))
(+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im)))))
re
(* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(* -1 re)
(* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
re
(+ re (* 1/2 (/ (pow im 2) re)))
(+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))
(+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re)))))
im
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -1 im)
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
(/ (log im) (log 10))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10)))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10)))
(* -1 (/ (log (/ 1 re)) (log 10)))
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))
(+ (* -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))))))
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Outputs
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re
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(fma.f64 (/.f64 (fma.f64 (.f64 (.f64 im im) (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 (log.f64 #s(literal 1/10 binary64)) (neg.f64 (pow.f64 (log.f64 re) #s(literal 3 binary64)))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (log.f64 #s(literal 1/10 binary64))) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (neg.f64 (log.f64 re)) #s(literal 2 binary64)))) (log.f64 #s(literal 1/10 binary64)))) #s(literal -720 binary64) (fma.f64 (.f64 #s(literal 1440 binary64) (neg.f64 (log.f64 re))) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 (log.f64 #s(literal 1/10 binary64)) (neg.f64 (pow.f64 (log.f64 re) #s(literal 3 binary64)))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (log.f64 #s(literal 1/10 binary64))) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (neg.f64 (log.f64 re)) #s(literal 2 binary64)))) (neg.f64 (log.f64 re))) (fma.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 6 binary64))) (/.f64 (log.f64 #s(literal 1/10 binary64)) (pow.f64 (neg.f64 (log.f64 re)) #s(literal 2 binary64))) (.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 im #s(literal 6 binary64))) (/.f64 (log.f64 #s(literal 1/10 binary64)) (neg.f64 (pow.f64 (log.f64 re) #s(literal 3 binary64))))))) (log.f64 #s(literal 1/10 binary64))) (/.f64 (.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (neg.f64 (pow.f64 (log.f64 re) #s(literal 3 binary64)))))) (pow.f64 re #s(literal 6 binary64))) #s(literal 1/720 binary64) (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 (log.f64 #s(literal 1/10 binary64)) (neg.f64 (pow.f64 (log.f64 re) #s(literal 3 binary64)))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (log.f64 #s(literal 1/10 binary64))) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (neg.f64 (log.f64 re)) #s(literal 2 binary64)))) (neg.f64 (log.f64 re))) (log.f64 #s(literal 1/10 binary64))) #s(literal 48 binary64) (.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (neg.f64 (log.f64 re)) #s(literal 2 binary64))) #s(literal -3 binary64))) (pow.f64 re #s(literal 4 binary64))) #s(literal 1/24 binary64) (fma.f64 (/.f64 (.f64 im im) (.f64 (neg.f64 (log.f64 re)) (*.f64 re re))) #s(literal 1/2 binary64) (log.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (neg.f64 (log.f64 re)))))))
(log (/ (log 1/10) (log (/ -1 re))))
(log.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) re))))
(+ (log (/ (log 1/10) (log (/ -1 re)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log (/ -1 re))))))
(fma.f64 (/.f64 (.f64 im im) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (*.f64 re re))) #s(literal 1/2 binary64) (log.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) re)))))
(+ (log (/ (log 1/10) (log (/ -1 re)))) (+ (* 1/24 (/ (+ (* -3 (/ (pow im 4) (pow (log (/ -1 re)) 2))) (* 48 (/ (* (log (/ -1 re)) (+ (* -1/8 (/ (* (pow im 4) (log 1/10)) (pow (log (/ -1 re)) 2))) (* 1/8 (/ (* (pow im 4) (log 1/10)) (pow (log (/ -1 re)) 3))))) (log 1/10)))) (pow re 4))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log (/ -1 re)))))))
(fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (/.f64 (.f64 (log.f64 #s(literal 1/10 binary64)) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 3 binary64))) #s(literal 1/8 binary64) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (log.f64 #s(literal 1/10 binary64))) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) re))) (log.f64 #s(literal 1/10 binary64))) #s(literal 48 binary64) (/.f64 (.f64 #s(literal -3 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 2 binary64)))) (pow.f64 re #s(literal 4 binary64))) #s(literal 1/24 binary64) (fma.f64 (/.f64 (.f64 im im) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (.f64 re re))) #s(literal 1/2 binary64) (log.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) re))))))
(+ (log (/ (log 1/10) (log (/ -1 re)))) (+ (* 1/720 (/ (+ (* -720 (/ (* (pow im 2) (+ (* -1/8 (/ (* (pow im 4) (log 1/10)) (pow (log (/ -1 re)) 2))) (* 1/8 (/ (* (pow im 4) (log 1/10)) (pow (log (/ -1 re)) 3))))) (log 1/10))) (+ (* 30 (/ (pow im 6) (pow (log (/ -1 re)) 3))) (* 1440 (/ (* (log (/ -1 re)) (+ (* -1/16 (/ (* (pow im 6) (log 1/10)) (pow (log (/ -1 re)) 3))) (+ (* 1/12 (/ (* (pow im 6) (log 1/10)) (pow (log (/ -1 re)) 2))) (* 1/2 (/ (* (pow im 2) (+ (* -1/8 (/ (* (pow im 4) (log 1/10)) (pow (log (/ -1 re)) 2))) (* 1/8 (/ (* (pow im 4) (log 1/10)) (pow (log (/ -1 re)) 3))))) (log (/ -1 re))))))) (log 1/10))))) (pow re 6))) (+ (* 1/24 (/ (+ (* -3 (/ (pow im 4) (pow (log (/ -1 re)) 2))) (* 48 (/ (* (log (/ -1 re)) (+ (* -1/8 (/ (* (pow im 4) (log 1/10)) (pow (log (/ -1 re)) 2))) (* 1/8 (/ (* (pow im 4) (log 1/10)) (pow (log (/ -1 re)) 3))))) (log 1/10)))) (pow re 4))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log (/ -1 re))))))))
(fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1440 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (/.f64 (fma.f64 (/.f64 (.f64 (log.f64 #s(literal 1/10 binary64)) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 3 binary64))) #s(literal 1/8 binary64) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (log.f64 #s(literal 1/10 binary64))) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) re))) (fma.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 6 binary64))) (/.f64 (log.f64 #s(literal 1/10 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 #s(literal -1/16 binary64) (log.f64 #s(literal 1/10 binary64))) (pow.f64 im #s(literal 6 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 3 binary64))))) (log.f64 #s(literal 1/10 binary64))) (fma.f64 (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 3 binary64))) #s(literal 30 binary64) (.f64 (.f64 #s(literal -720 binary64) (.f64 im im)) (/.f64 (fma.f64 (/.f64 (.f64 (log.f64 #s(literal 1/10 binary64)) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 3 binary64))) #s(literal 1/8 binary64) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (log.f64 #s(literal 1/10 binary64))) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 2 binary64)))) (log.f64 #s(literal 1/10 binary64)))))) (pow.f64 re #s(literal 6 binary64))) #s(literal 1/720 binary64) (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (/.f64 (.f64 (log.f64 #s(literal 1/10 binary64)) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 3 binary64))) #s(literal 1/8 binary64) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (log.f64 #s(literal 1/10 binary64))) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) re))) (log.f64 #s(literal 1/10 binary64))) #s(literal 48 binary64) (/.f64 (.f64 #s(literal -3 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 2 binary64)))) (pow.f64 re #s(literal 4 binary64))) #s(literal 1/24 binary64) (fma.f64 (/.f64 (.f64 im im) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (*.f64 re re))) #s(literal 1/2 binary64) (log.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) re)))))))
(log (pow re 2))
(log.f64 (*.f64 re re))
(+ (log (pow re 2)) (/ (pow im 2) (pow re 2)))
(+.f64 (log.f64 (.f64 re re)) (/.f64 (.f64 im im) (*.f64 re re)))
(+ (log (pow re 2)) (* (pow im 2) (+ (* -1/2 (/ (pow im 2) (pow re 4))) (/ 1 (pow re 2)))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 im im) (pow.f64 re #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 re re))) (.f64 im im) (log.f64 (.f64 re re)))
(+ (log (pow re 2)) (* (pow im 2) (+ (* (pow im 2) (- (* 1/3 (/ (pow im 2) (pow re 6))) (* 1/2 (/ 1 (pow re 4))))) (/ 1 (pow re 2)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (.f64 im im) (pow.f64 re #s(literal 6 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 4 binary64)))) (.f64 im im) (/.f64 #s(literal 1 binary64) (.f64 re re))) (.f64 im im) (log.f64 (*.f64 re re)))
(* -2 (log (/ 1 im)))
(*.f64 #s(literal -2 binary64) (neg.f64 (log.f64 im)))
(+ (* -2 (log (/ 1 im))) (/ (pow re 2) (pow im 2)))
(fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 im)) (/.f64 (.f64 re re) (.f64 im im)))
(+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))
(fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 im)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 (.f64 re re) (.f64 im im))))
(+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2)))))
(fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 im)) (fma.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 (.f64 re re) (.f64 im im)))))
(* -2 (log (/ -1 im)))
(*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+ (* -2 (log (/ -1 im))) (/ (pow re 2) (pow im 2)))
(fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)) (/.f64 (.f64 re re) (.f64 im im)))
(+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))
(fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 (.f64 re re) (.f64 im im))))
(+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2)))))
(fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)) (fma.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 (.f64 re re) (.f64 im im)))))
(log (pow im 2))
(log.f64 (*.f64 im im))
(+ (log (pow im 2)) (/ (pow re 2) (pow im 2)))
(+.f64 (log.f64 (.f64 im im)) (/.f64 (.f64 re re) (*.f64 im im)))
(+ (log (pow im 2)) (* (pow re 2) (+ (* -1/2 (/ (pow re 2) (pow im 4))) (/ 1 (pow im 2)))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 re re) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 im im))) (.f64 re re) (log.f64 (.f64 im im)))
(+ (log (pow im 2)) (* (pow re 2) (+ (* (pow re 2) (- (* 1/3 (/ (pow re 2) (pow im 6))) (* 1/2 (/ 1 (pow im 4))))) (/ 1 (pow im 2)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (.f64 re re) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 4 binary64)))) (.f64 re re) (/.f64 #s(literal 1 binary64) (.f64 im im))) (.f64 re re) (log.f64 (*.f64 im im)))
(* -2 (log (/ 1 re)))
(neg.f64 (*.f64 #s(literal -2 binary64) (log.f64 re)))
(+ (* -2 (log (/ 1 re))) (/ (pow im 2) (pow re 2)))
(fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 re)) (/.f64 (.f64 im im) (.f64 re re)))
(+ (* -2 (log (/ 1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2))))
(fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 re)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (/.f64 (.f64 im im) (.f64 re re))))
(+ (* -2 (log (/ 1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (+ (* 1/3 (/ (pow im 6) (pow re 6))) (/ (pow im 2) (pow re 2)))))
(fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 re)) (fma.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (/.f64 (.f64 im im) (.f64 re re)))))
(* -2 (log (/ -1 re)))
(*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re)))
(+ (* -2 (log (/ -1 re))) (/ (pow im 2) (pow re 2)))
(fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re)) (/.f64 (.f64 im im) (.f64 re re)))
(+ (* -2 (log (/ -1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2))))
(fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (/.f64 (.f64 im im) (.f64 re re))))
(+ (* -2 (log (/ -1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (+ (* 1/3 (/ (pow im 6) (pow re 6))) (/ (pow im 2) (pow re 2)))))
(fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re)) (fma.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (/.f64 (.f64 im im) (.f64 re re)))))

rewrite214.0ms (3%)

Memory

-5.2MiB live, 397.5MiB allocated

Rules

3 592×	`lower-*.f32`
3 588×	`lower-*.f64`
3 464×	`lower-fma.f32`
3 462×	`lower-fma.f64`
2 062×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	152
0	51	125
1	136	105
2	657	101
3	5756	101
0	8421	101

Stop Event

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

Counts

17 → 994

Calls

Call 1

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

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

eval317.0ms (4.5%)

Memory: 25.5MiB live, 722.2MiB allocated
Compiler: Compiled 60 022 to 4 751 computations (92.1% saved)

prune294.0ms (4.2%)

Memory

-23.4MiB live, 593.9MiB allocated

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	1 924	11	1 935
Fresh	6	2	8
Picked	3	2	5
Done	0	0	0
Total	1 933	15	1 948

Accuracy

100.0%

Counts

1 948 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	36.7%	(pow.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))) (log.f64 (fma.f64 im im (.f64 re re)))) #s(literal 1/4 binary64)) #s(literal 4 binary64))
	36.7%	(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (.f64 #s(literal -2 binary64) (log.f64 #s(literal 1/10 binary64))) (log.f64 (fma.f64 im im (.f64 re re))))))
	75.5%	(pow.f64 #s(approx (pow (/ (log 1/10) (* -1/2 (log (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64))))) #s(literal 2 binary64))
	55.5%	(/.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 im im (*.f64 re re)))))
	98.0%	(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
	55.4%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (log.f64 #s(literal 10 binary64))) (.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))))) (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64))))
	55.8%	(/.f64 (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
▶	55.6%	(/.f64 (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal -1/2 binary64)) (log.f64 #s(literal 1/10 binary64)))
▶	97.9%	(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))
✓	99.1%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
✓	98.1%	(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
▶	98.2%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
▶	55.8%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))) (log.f64 #s(literal 10 binary64))))
	97.9%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
	97.6%	(.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64))) (neg.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im))))

Compiler

Compiled 387 to 295 computations (23.8% saved)

simplify17.0ms (0.2%)

Memory

-1.2MiB live, 37.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64)))
cost-diff	0	(.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))) (log.f64 (fma.f64 im im (.f64 re re))))
cost-diff	0	(pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))) (log.f64 (fma.f64 im im (.f64 re re)))) #s(literal 1/4 binary64))
cost-diff	0	(pow.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))) (log.f64 (fma.f64 im im (.f64 re re)))) #s(literal 1/4 binary64)) #s(literal 4 binary64))
cost-diff	0	(log.f64 (fma.f64 im im (*.f64 re re)))
cost-diff	0	(/.f64 #s(literal 2 binary64) (log.f64 (fma.f64 im im (*.f64 re re))))
cost-diff	0	(.f64 (/.f64 #s(literal 2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))) (log.f64 #s(literal 10 binary64)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))) (log.f64 #s(literal 10 binary64))))
cost-diff	0	(fma.f64 im im (*.f64 re re))
cost-diff	0	(log.f64 (fma.f64 im im (*.f64 re re)))
cost-diff	0	(.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal -1/2 binary64))
cost-diff	0	(/.f64 (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal -1/2 binary64)) (log.f64 #s(literal 1/10 binary64)))
cost-diff	0	(log.f64 im)
cost-diff	0	#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
cost-diff	0	(neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
cost-diff	0	(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))
cost-diff	0	#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
cost-diff	0	(log.f64 #s(literal 10 binary64))
cost-diff	0	(/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))

Rules

164×	`lower-*.f32`
156×	`lower-*.f64`
96×	`lower-fma.f32`
94×	`lower-fma.f64`
76×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	269
0	54	265
1	75	261
2	101	259
3	121	259
4	169	259
5	250	259
6	305	259
7	336	259
8	343	259
9	348	259
10	351	259
11	368	259
12	377	259
0	377	235

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize184.0ms (2.6%)

Memory

8.5MiB live, 322.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.2109375	(.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))) (log.f64 (fma.f64 im im (.f64 re re))))
accuracy	0.6490366700430072	(pow.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))) (log.f64 (fma.f64 im im (.f64 re re)))) #s(literal 1/4 binary64)) #s(literal 4 binary64))
accuracy	0.76953125	(/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64)))
accuracy	25.423890286609904	(log.f64 (fma.f64 im im (*.f64 re re)))
accuracy	0.171875	(/.f64 #s(literal 2 binary64) (log.f64 (fma.f64 im im (*.f64 re re))))
accuracy	0.1953125	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))) (log.f64 #s(literal 10 binary64))))
accuracy	0.41148378907376815	(.f64 (/.f64 #s(literal 2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))) (log.f64 #s(literal 10 binary64)))
accuracy	25.423890286609904	(log.f64 (fma.f64 im im (*.f64 re re)))
accuracy	0	(*.f64 re re)
accuracy	0.4170112793053261	(/.f64 (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal -1/2 binary64)) (log.f64 #s(literal 1/10 binary64)))
accuracy	0.76953125	(log.f64 #s(literal 1/10 binary64))
accuracy	25.423890286609904	(log.f64 (fma.f64 im im (*.f64 re re)))
accuracy	0	(log.f64 im)
accuracy	0.29719627835332535	#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
accuracy	0.4170112793053261	(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))
accuracy	0.76953125	(log.f64 #s(literal 1/10 binary64))
accuracy	0	(log.f64 #s(literal 10 binary64))
accuracy	0.1953125	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
accuracy	0.29719627835332535	#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
accuracy	0.38804628907376804	(/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))

Samples

55.0ms	197×	0	valid
19.0ms	59×	0	invalid

Compiler

Compiled 267 to 34 computations (87.3% saved)

Precisions

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

ival-log: 15.0ms (29.1% of total)

ival-div: 11.0ms (21.4% of total)

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

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

ival-hypot: 4.0ms (7.8% of total)

const: 4.0ms (7.8% of total)

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

exact: 1.0ms (1.9% of total)

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

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

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

series110.0ms (1.6%)

Memory

5.8MiB live, 131.8MiB allocated

Counts

20 → 384

Calls

Call 1

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

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

Calls

96 calls:

Time	Variable		Point	Expression
20.0ms	re	@	-inf	(pow (* (/ 1/2 (log 10)) (log (+ (* im im) (* re re)))) 1/4)
19.0ms	re	@	0	(pow (* (/ 1/2 (log 10)) (log (+ (* im im) (* re re)))) 1/4)
14.0ms	im	@	inf	(* (log (+ (* im im) (* re re))) -1/2)
5.0ms	re	@	-inf	(/ 2 (log (+ (* im im) (* re re))))
2.0ms	re	@	inf	(pow (* (/ 1/2 (log 10)) (log (+ (* im im) (* re re)))) 1/4)

simplify215.0ms (3.1%)

Memory

-4.0MiB live, 341.1MiB allocated

Algorithm

1×	egg-herbie

Rules

7 668×	`lower-fma.f64`
7 668×	`lower-fma.f32`
6 458×	`lower-*.f64`
6 458×	`lower-*.f32`
5 632×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1293	11849
1	3947	11464
0	8174	10976

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

Calls

Call 1

Inputs
(/ (log im) (log 10))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10)))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10)))
(* -1 (/ (log (/ 1 re)) (log 10)))
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))))
(* -1 (/ (log (/ -1 re)) (log 10)))
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))))
(/ (log re) (log 10))
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))) (/ (log re) (log 10)))
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log 10)))) (* 1/2 (/ 1 (* (pow re 2) (log 10)))))) (/ (log re) (log 10)))
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log 10)))) (* 1/4 (/ 1 (* (pow re 4) (log 10)))))) (* 1/2 (/ 1 (* (pow re 2) (log 10)))))) (/ (log re) (log 10)))
(* -1 (/ (log (/ 1 im)) (log 10)))
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))))
(* -1 (/ (log (/ -1 im)) (log 10)))
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))))
(/ (log 10) (log im))
(+ (* -1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log im) 2)))) (/ (log 10) (log im)))
(+ (* (pow re 2) (- (* -1 (* (pow re 2) (+ (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ (log 10) (* (pow im 2) (pow (log im) 2)))))) (/ (log 10) (log im)))
(+ (* (pow re 2) (- (* (pow re 2) (- (* -1 (* (pow re 2) (+ (* -1/2 (/ (+ (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 3))))) (* (pow im 2) (log im)))) (+ (* 1/8 (/ (log 10) (* (pow im 6) (pow (log im) 3)))) (* 1/6 (/ (log 10) (* (pow im 6) (pow (log im) 2)))))))) (+ (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ (log 10) (* (pow im 2) (pow (log im) 2)))))) (/ (log 10) (log im)))
(* -1 (/ (log 10) (log (/ 1 re))))
(+ (* -1 (/ (log 10) (log (/ 1 re)))) (* -1/2 (/ (* (pow im 2) (log 10)) (* (pow re 2) (pow (log (/ 1 re)) 2)))))
(- (+ (* -1 (/ (log 10) (log (/ 1 re)))) (* -1 (/ (+ (* -1/4 (/ (* (pow im 4) (log 10)) (pow (log (/ 1 re)) 2))) (* 1/4 (/ (* (pow im 4) (log 10)) (pow (log (/ 1 re)) 3)))) (pow re 4)))) (* 1/2 (/ (* (pow im 2) (log 10)) (* (pow re 2) (pow (log (/ 1 re)) 2)))))
(- (+ (* -1 (/ (log 10) (log (/ 1 re)))) (* -1 (/ (+ (* -1/8 (/ (* (pow im 6) (log 10)) (pow (log (/ 1 re)) 3))) (+ (* 1/720 (/ (* (log 10) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow (log (/ 1 re)) 2))) (* 1/2 (/ (* (pow im 2) (+ (* -1/4 (/ (* (pow im 4) (log 10)) (pow (log (/ 1 re)) 2))) (* 1/4 (/ (* (pow im 4) (log 10)) (pow (log (/ 1 re)) 3))))) (log (/ 1 re)))))) (pow re 6)))) (+ (* -1/4 (/ (* (pow im 4) (log 10)) (* (pow re 4) (pow (log (/ 1 re)) 2)))) (+ (* 1/4 (/ (* (pow im 4) (log 10)) (* (pow re 4) (pow (log (/ 1 re)) 3)))) (* 1/2 (/ (* (pow im 2) (log 10)) (* (pow re 2) (pow (log (/ 1 re)) 2)))))))
(* -1 (/ (log 10) (log (/ -1 re))))
(+ (* -1 (/ (log 10) (log (/ -1 re)))) (* -1/2 (/ (* (pow im 2) (log 10)) (* (pow re 2) (pow (log (/ -1 re)) 2)))))
(- (+ (* -1 (/ (log 10) (log (/ -1 re)))) (* -1 (/ (+ (* -1/4 (/ (* (pow im 4) (log 10)) (pow (log (/ -1 re)) 2))) (* 1/4 (/ (* (pow im 4) (log 10)) (pow (log (/ -1 re)) 3)))) (pow re 4)))) (* 1/2 (/ (* (pow im 2) (log 10)) (* (pow re 2) (pow (log (/ -1 re)) 2)))))
(- (+ (* -1 (/ (log 10) (log (/ -1 re)))) (* -1 (/ (+ (* -1/8 (/ (* (pow im 6) (log 10)) (pow (log (/ -1 re)) 3))) (+ (* 1/720 (/ (* (log 10) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow (log (/ -1 re)) 2))) (* 1/2 (/ (* (pow im 2) (+ (* -1/4 (/ (* (pow im 4) (log 10)) (pow (log (/ -1 re)) 2))) (* 1/4 (/ (* (pow im 4) (log 10)) (pow (log (/ -1 re)) 3))))) (log (/ -1 re)))))) (pow re 6)))) (+ (* -1/4 (/ (* (pow im 4) (log 10)) (* (pow re 4) (pow (log (/ -1 re)) 2)))) (+ (* 1/4 (/ (* (pow im 4) (log 10)) (* (pow re 4) (pow (log (/ -1 re)) 3)))) (* 1/2 (/ (* (pow im 2) (log 10)) (* (pow re 2) (pow (log (/ -1 re)) 2)))))))
(/ (log 10) (log re))
(+ (* -1/2 (/ (* (pow im 2) (log 10)) (* (pow re 2) (pow (log re) 2)))) (/ (log 10) (log re)))
(+ (* (pow im 2) (- (* -1 (* (pow im 2) (+ (* -1/4 (/ (log 10) (* (pow re 4) (pow (log re) 2)))) (* -1/4 (/ (log 10) (* (pow re 4) (pow (log re) 3))))))) (* 1/2 (/ (log 10) (* (pow re 2) (pow (log re) 2)))))) (/ (log 10) (log re)))
(+ (* (pow im 2) (- (* (pow im 2) (- (* -1 (* (pow im 2) (+ (* -1/2 (/ (+ (* -1/4 (/ (log 10) (* (pow re 4) (pow (log re) 2)))) (* -1/4 (/ (log 10) (* (pow re 4) (pow (log re) 3))))) (* (pow re 2) (log re)))) (+ (* 1/8 (/ (log 10) (* (pow re 6) (pow (log re) 3)))) (* 1/6 (/ (log 10) (* (pow re 6) (pow (log re) 2)))))))) (+ (* -1/4 (/ (log 10) (* (pow re 4) (pow (log re) 2)))) (* -1/4 (/ (log 10) (* (pow re 4) (pow (log re) 3))))))) (* 1/2 (/ (log 10) (* (pow re 2) (pow (log re) 2)))))) (/ (log 10) (log re)))
(* -1 (/ (log 10) (log (/ 1 im))))
(+ (* -1 (/ (log 10) (log (/ 1 im)))) (* -1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ 1 im)) 2)))))
(- (+ (* -1 (/ (log 10) (log (/ 1 im)))) (* -1 (/ (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ 1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ 1 im)) 3)))) (pow im 4)))) (* 1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ 1 im)) 2)))))
(- (+ (* -1 (/ (log 10) (log (/ 1 im)))) (* -1 (/ (+ (* -1/8 (/ (* (pow re 6) (log 10)) (pow (log (/ 1 im)) 3))) (+ (* 1/720 (/ (* (log 10) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow (log (/ 1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ 1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ 1 im)) 3))))) (log (/ 1 im)))))) (pow im 6)))) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (* (pow im 4) (pow (log (/ 1 im)) 2)))) (+ (* 1/4 (/ (* (pow re 4) (log 10)) (* (pow im 4) (pow (log (/ 1 im)) 3)))) (* 1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ 1 im)) 2)))))))
(* -1 (/ (log 10) (log (/ -1 im))))
(+ (* -1 (/ (log 10) (log (/ -1 im)))) (* -1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ -1 im)) 2)))))
(- (+ (* -1 (/ (log 10) (log (/ -1 im)))) (* -1 (/ (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3)))) (pow im 4)))) (* 1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ -1 im)) 2)))))
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(log im)
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(+ (* (pow re 2) (+ (* 1/4 (* (pow (/ 1/2 (* (log 10) (pow (log (pow im 2)) 3))) 1/4) (/ 1 (pow im 2)))) (* (pow (/ (* 1/2 (log (pow im 2))) (log 10)) 1/4) (* (pow re 2) (+ (* -1/96 (+ (* 12 (/ 1 (* (pow im 4) (log (pow im 2))))) (* 12 (/ 1 (* (pow im 4) (pow (log (pow im 2)) 2)))))) (* 1/32 (/ 1 (* (pow im 4) (pow (log (pow im 2)) 2))))))))) (pow (/ (* 1/2 (log (pow im 2))) (log 10)) 1/4))
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(pow (/ (* -1 (log (/ 1 re))) (log 10)) 1/4)
(+ (* -1/8 (* (pow (/ -1 (* (log 10) (pow (log (/ 1 re)) 3))) 1/4) (/ (pow im 2) (pow re 2)))) (pow (/ (* -1 (log (/ 1 re))) (log 10)) 1/4))
(+ (* -1/8 (* (pow (/ -1 (* (log 10) (pow (log (/ 1 re)) 3))) 1/4) (/ (pow im 2) (pow re 2)))) (+ (* (pow (/ (* -1 (log (/ 1 re))) (log 10)) 1/4) (/ (+ (* 1/128 (/ (pow im 4) (pow (log (/ 1 re)) 2))) (* 1/96 (+ (* -3 (/ (pow im 4) (pow (log (/ 1 re)) 2))) (* 6 (/ (pow im 4) (log (/ 1 re))))))) (pow re 4))) (pow (/ (* -1 (log (/ 1 re))) (log 10)) 1/4)))
(+ (* -1/8 (* (pow (/ -1 (* (log 10) (pow (log (/ 1 re)) 3))) 1/4) (/ (pow im 2) (pow re 2)))) (+ (* (pow (/ (* -1 (log (/ 1 re))) (log 10)) 1/4) (/ (+ (* -1/768 (/ (* (pow im 2) (+ (* -3 (/ (pow im 4) (pow (log (/ 1 re)) 2))) (* 6 (/ (pow im 4) (log (/ 1 re)))))) (log (/ 1 re)))) (+ (* -1/3072 (/ (pow im 6) (pow (log (/ 1 re)) 3))) (* 1/2880 (+ (* -120 (/ (pow im 6) (log (/ 1 re)))) (+ (* -30 (/ (pow im 6) (pow (log (/ 1 re)) 3))) (* 90 (/ (pow im 6) (pow (log (/ 1 re)) 2)))))))) (pow re 6))) (+ (* (pow (/ (* -1 (log (/ 1 re))) (log 10)) 1/4) (/ (+ (* 1/128 (/ (pow im 4) (pow (log (/ 1 re)) 2))) (* 1/96 (+ (* -3 (/ (pow im 4) (pow (log (/ 1 re)) 2))) (* 6 (/ (pow im 4) (log (/ 1 re))))))) (pow re 4))) (pow (/ (* -1 (log (/ 1 re))) (log 10)) 1/4))))
(pow (/ (* -1 (log (/ -1 re))) (log 10)) 1/4)
(+ (* -1/8 (* (pow (/ -1 (* (log 10) (pow (log (/ -1 re)) 3))) 1/4) (/ (pow im 2) (pow re 2)))) (pow (/ (* -1 (log (/ -1 re))) (log 10)) 1/4))
(+ (* -1/8 (* (pow (/ -1 (* (log 10) (pow (log (/ -1 re)) 3))) 1/4) (/ (pow im 2) (pow re 2)))) (+ (* (pow (/ (* -1 (log (/ -1 re))) (log 10)) 1/4) (/ (+ (* 1/128 (/ (pow im 4) (pow (log (/ -1 re)) 2))) (* 1/96 (+ (* -3 (/ (pow im 4) (pow (log (/ -1 re)) 2))) (* 6 (/ (pow im 4) (log (/ -1 re))))))) (pow re 4))) (pow (/ (* -1 (log (/ -1 re))) (log 10)) 1/4)))
(+ (* -1/8 (* (pow (/ -1 (* (log 10) (pow (log (/ -1 re)) 3))) 1/4) (/ (pow im 2) (pow re 2)))) (+ (* (pow (/ (* -1 (log (/ -1 re))) (log 10)) 1/4) (/ (+ (* -1/768 (/ (* (pow im 2) (+ (* -3 (/ (pow im 4) (pow (log (/ -1 re)) 2))) (* 6 (/ (pow im 4) (log (/ -1 re)))))) (log (/ -1 re)))) (+ (* -1/3072 (/ (pow im 6) (pow (log (/ -1 re)) 3))) (* 1/2880 (+ (* -120 (/ (pow im 6) (log (/ -1 re)))) (+ (* -30 (/ (pow im 6) (pow (log (/ -1 re)) 3))) (* 90 (/ (pow im 6) (pow (log (/ -1 re)) 2)))))))) (pow re 6))) (+ (* (pow (/ (* -1 (log (/ -1 re))) (log 10)) 1/4) (/ (+ (* 1/128 (/ (pow im 4) (pow (log (/ -1 re)) 2))) (* 1/96 (+ (* -3 (/ (pow im 4) (pow (log (/ -1 re)) 2))) (* 6 (/ (pow im 4) (log (/ -1 re))))))) (pow re 4))) (pow (/ (* -1 (log (/ -1 re))) (log 10)) 1/4))))
(* 1/2 (/ (log (pow re 2)) (log 10)))
(+ (* 1/2 (/ (log (pow re 2)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))
(+ (* 1/2 (/ (log (pow re 2)) (log 10))) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log 10)))) (* 1/2 (/ 1 (* (pow re 2) (log 10)))))))
(+ (* 1/2 (/ (log (pow re 2)) (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)))))))
(* -1 (/ (log (/ 1 im)) (log 10)))
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/6 (/ (pow re 6) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))))
(* -1 (/ (log (/ -1 im)) (log 10)))
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/6 (/ (pow re 6) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))))
(* 1/2 (/ (log (pow im 2)) (log 10)))
(+ (* 1/2 (/ (log (pow im 2)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))
(+ (* 1/2 (/ (log (pow im 2)) (log 10))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))))
(+ (* 1/2 (/ (log (pow im 2)) (log 10))) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))))
(* -1 (/ (log (/ 1 re)) (log 10)))
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/6 (/ (pow im 6) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))))
(* -1 (/ (log (/ -1 re)) (log 10)))
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/6 (/ (pow im 6) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))))
(pow re 2)
(pow re 2)
(pow re 2)
(pow re 2)
(pow re 2)
(pow re 2)
(pow re 2)
(pow re 2)
(pow re 2)
(pow re 2)
(pow re 2)
(pow re 2)

Outputs
(/ (log im) (log 10))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10)))
(fma.f64 (/.f64 (.f64 re re) (.f64 (*.f64 im im) (log.f64 #s(literal 10 binary64)))) #s(literal 1/2 binary64) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10)))
(fma.f64 (fma.f64 (/.f64 (.f64 re re) (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64)))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (log.f64 #s(literal 10 binary64))))) (*.f64 re re) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 re re) (.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 #s(literal 10 binary64)))) #s(literal 1/6 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))))) (.f64 re re) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (log.f64 #s(literal 10 binary64))))) (*.f64 re re) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))
(* -1 (/ (log (/ 1 re)) (log 10)))
(/.f64 (log.f64 re) (log.f64 #s(literal 10 binary64)))
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))
(fma.f64 (/.f64 (.f64 im im) (.f64 (*.f64 re re) (log.f64 #s(literal 10 binary64)))) #s(literal 1/2 binary64) (/.f64 (log.f64 re) (log.f64 #s(literal 10 binary64))))
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))
(+.f64 (fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64)))) #s(literal -1/4 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 (*.f64 re re) (log.f64 #s(literal 10 binary64))))) (/.f64 (log.f64 re) (log.f64 #s(literal 10 binary64))))
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))))
(+.f64 (fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64)))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 120 binary64)) (.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 #s(literal 10 binary64)))) #s(literal 1/720 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 (*.f64 re re) (log.f64 #s(literal 10 binary64)))))) (/.f64 (log.f64 re) (log.f64 #s(literal 10 binary64))))
(* -1 (/ (log (/ -1 re)) (log 10)))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (neg.f64 (log.f64 #s(literal 10 binary64))))
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))
(fma.f64 (/.f64 (.f64 im im) (.f64 (*.f64 re re) (log.f64 #s(literal 10 binary64)))) #s(literal 1/2 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (neg.f64 (log.f64 #s(literal 10 binary64)))))
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))
(-.f64 (fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64)))) #s(literal -1/4 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 (*.f64 re re) (log.f64 #s(literal 10 binary64))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 #s(literal 10 binary64))))
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))))
(-.f64 (fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64)))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 120 binary64)) (.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 #s(literal 10 binary64)))) #s(literal 1/720 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 (*.f64 re re) (log.f64 #s(literal 10 binary64)))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 #s(literal 10 binary64))))
(/ (log re) (log 10))
(/.f64 (log.f64 re) (log.f64 #s(literal 10 binary64)))
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))) (/ (log re) (log 10)))
(fma.f64 (/.f64 (.f64 im im) (.f64 (*.f64 re re) (log.f64 #s(literal 10 binary64)))) #s(literal 1/2 binary64) (/.f64 (log.f64 re) (log.f64 #s(literal 10 binary64))))
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log 10)))) (* 1/2 (/ 1 (* (pow re 2) (log 10)))))) (/ (log re) (log 10)))
(fma.f64 (fma.f64 (/.f64 (.f64 im im) (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64)))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 re re) (log.f64 #s(literal 10 binary64))))) (*.f64 im im) (/.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 (fma.f64 (fma.f64 (/.f64 (.f64 im im) (.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 #s(literal 10 binary64)))) #s(literal 1/6 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))))) (.f64 im im) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 re re) (log.f64 #s(literal 10 binary64))))) (*.f64 im im) (/.f64 (log.f64 re) (log.f64 #s(literal 10 binary64))))
(* -1 (/ (log (/ 1 im)) (log 10)))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))
(fma.f64 (/.f64 (.f64 re re) (.f64 (*.f64 im im) (log.f64 #s(literal 10 binary64)))) #s(literal 1/2 binary64) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))
(+.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64)))) #s(literal -1/4 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 (*.f64 im im) (log.f64 #s(literal 10 binary64))))) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))))
(+.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64)))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 #s(literal 10 binary64)))) #s(literal 1/720 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 (*.f64 im im) (log.f64 #s(literal 10 binary64)))))) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))
(* -1 (/ (log (/ -1 im)) (log 10)))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 #s(literal 10 binary64))))
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))
(fma.f64 (/.f64 (.f64 re re) (.f64 (*.f64 im im) (log.f64 #s(literal 10 binary64)))) #s(literal 1/2 binary64) (/.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))))))
(-.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64)))) #s(literal -1/4 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 (*.f64 im im) (log.f64 #s(literal 10 binary64))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 10 binary64))))
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 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 (pow.f64 re #s(literal 4 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64)))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 #s(literal 10 binary64)))) #s(literal 1/720 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 (*.f64 im im) (log.f64 #s(literal 10 binary64)))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 10 binary64))))
(/ (log 10) (log im))
(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))
(+ (* -1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log im) 2)))) (/ (log 10) (log im)))
(fma.f64 (/.f64 (.f64 (.f64 re re) (log.f64 #s(literal 10 binary64))) (.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)) (.f64 im im))) #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)))
(+ (* (pow re 2) (- (* -1 (* (pow re 2) (+ (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ (log 10) (* (pow im 2) (pow (log im) 2)))))) (/ (log 10) (log im)))
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rewrite191.0ms (2.7%)

Memory

28.4MiB live, 312.3MiB allocated

Rules

3 202×	`lower-*.f32`
3 194×	`lower-*.f64`
2 984×	`lower-fma.f32`
2 982×	`lower-fma.f64`
2 090×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	197
0	54	187
1	162	177
2	780	177
3	6144	177
0	8226	126

Stop Event

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

Counts

20 → 1 007

Calls

Call 1

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

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

eval317.0ms (4.5%)

Memory: 28.7MiB live, 515.4MiB allocated
Compiler: Compiled 69 023 to 5 368 computations (92.2% saved)

prune387.0ms (5.5%)

Memory

-36.1MiB live, 528.9MiB allocated

Pruning

15 alts after pruning (10 fresh and 5 done)

	Pruned	Kept	Total
New	2 072	5	2 077
Fresh	3	5	8
Picked	2	3	5
Done	0	2	2
Total	2 077	15	2 092

Accuracy

100.0%

Counts

2 092 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.4%	(pow.f64 (pow.f64 #s(approx (* (/ 1/2 (log 10)) (log (+ (* im im) (* re re)))) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))) #s(literal 1/4 binary64)) #s(literal 4 binary64))
	75.5%	(pow.f64 #s(approx (pow (/ (log 1/10) (* -1/2 (log (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64))))) #s(literal 2 binary64))
▶	97.6%	(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
	98.0%	(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
	98.1%	(/.f64 (.f64 (neg.f64 (pow.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)) #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))))
▶	55.8%	(/.f64 (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
✓	55.6%	(/.f64 (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal -1/2 binary64)) (log.f64 #s(literal 1/10 binary64)))
	97.9%	(/.f64 (neg.f64 (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal 2 binary64))) (.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im))))
✓	97.9%	(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))
✓	99.1%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
✓	98.1%	(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
✓	98.2%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
▶	98.1%	(/.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))))
	97.9%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
▶	97.6%	(.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64))) (neg.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im))))

Compiler

Compiled 304 to 232 computations (23.7% saved)

simplify39.0ms (0.6%)

Memory

35.9MiB live, 35.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
cost-diff	0	#s(approx (* (/ 1/2 (log 10)) (log (+ (* im im) (* re re)))) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))
cost-diff	0	(pow.f64 #s(approx (* (/ 1/2 (log 10)) (log (+ (* im im) (* re re)))) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))) #s(literal 1/4 binary64))
cost-diff	0	(pow.f64 (pow.f64 #s(approx (* (/ 1/2 (log 10)) (log (+ (* im im) (* re re)))) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))) #s(literal 1/4 binary64)) #s(literal 4 binary64))
cost-diff	0	(/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
cost-diff	0	(log.f64 #s(literal 10 binary64))
cost-diff	0	(/.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64)))
cost-diff	1408	(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
cost-diff	0	(fma.f64 im im (*.f64 re re))
cost-diff	0	(log.f64 (fma.f64 im im (*.f64 re re)))
cost-diff	0	(.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
cost-diff	0	(neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
cost-diff	0	(log.f64 #s(literal 10 binary64))
cost-diff	0	(/.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64)))
cost-diff	448	(.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64))) (neg.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im))))
cost-diff	0	#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 10 binary64)))
cost-diff	704	(/.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))))

Rules

356×	`lower-fma.f32`
356×	`lower-*.f32`
354×	`lower-fma.f64`
348×	`lower-*.f64`
192×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	295
0	56	286
1	78	272
2	114	272
3	272	272
4	466	272
5	552	272
6	718	272
7	951	272
8	1045	272
9	1173	272
10	1190	272
11	1193	272
0	1193	232

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

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

localize169.0ms (2.4%)

Memory

-34.4MiB live, 192.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.05078125	(pow.f64 #s(approx (* (/ 1/2 (log 10)) (log (+ (* im im) (* re re)))) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))) #s(literal 1/4 binary64))
accuracy	0.2948207205279316	#s(approx (* (/ 1/2 (log 10)) (log (+ (* im im) (* re re)))) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))
accuracy	0.4209175293053261	(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
accuracy	0.6490366700430072	(pow.f64 (pow.f64 #s(approx (* (/ 1/2 (log 10)) (log (+ (* im im) (* re re)))) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))) #s(literal 1/4 binary64)) #s(literal 4 binary64))
accuracy	0.171875	(/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
accuracy	0.2109375	(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
accuracy	0.29719627835332535	#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
accuracy	0.76953125	(/.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64)))
accuracy	0	(*.f64 re re)
accuracy	0	(log.f64 #s(literal 10 binary64))
accuracy	0.4170112793053261	(/.f64 (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
accuracy	25.42389028660991	(log.f64 (fma.f64 im im (*.f64 re re)))
accuracy	0	(log.f64 #s(literal 10 binary64))
accuracy	0.2109375	(.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64))) (neg.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im))))
accuracy	0.29719627835332535	#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
accuracy	0.76953125	(/.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64)))
accuracy	0.171875	(/.f64 #s(literal 1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
accuracy	0.1953125	(/.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))))
accuracy	0.29719627835332535	#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
accuracy	0.41148378907376815	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 10 binary64)))

Samples

55.0ms	197×	0	valid
15.0ms	59×	0	invalid

Compiler

Compiled 256 to 33 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-log: 15.0ms (29.1% of total)

ival-div: 12.0ms (23.3% of total)

ival-mult: 9.0ms (17.5% of total)

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

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

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

exact: 1.0ms (1.9% of total)

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

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

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

series51.0ms (0.7%)

Memory

-21.0MiB live, 94.3MiB allocated

Counts

19 → 384

Calls

Call 1

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

Calls

96 calls:

Time	Variable		Point	Expression
14.0ms	im	@	0	(/ (log im) (log 10))
3.0ms	re	@	0	(* (/ -1 (log 10)) (neg (log (sqrt (+ (* re re) (* im im))))))
1.0ms	im	@	inf	(/ -1 (log (sqrt (+ (* re re) (* im im)))))
1.0ms	re	@	inf	(/ -1 (log (sqrt (+ (* re re) (* im im)))))
1.0ms	re	@	0	(/ 1 (log (sqrt (+ (* re re) (* im im)))))

simplify206.0ms (2.9%)

Memory

18.3MiB live, 315.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 972×	`lower-fma.f64`
8 972×	`lower-fma.f32`
6 132×	`lower-+.f64`
6 132×	`lower-+.f32`
5 814×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1155	11596
1	3557	11184
0	8118	10686

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

Calls

Call 1

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

Outputs
(/ (log im) (log 10))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10)))
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(fma.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) re))) #s(literal 6 binary64) (/.f64 (.f64 #s(literal -3 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 2 binary64)))) #s(literal 1/96 binary64) (/.f64 (.f64 #s(literal 1/128 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 2 binary64)))) (pow.f64 re #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (neg.f64 (log.f64 #s(literal 10 binary64)))) #s(literal 1/4 binary64)) (.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 3 binary64)) (log.f64 #s(literal 10 binary64)))) #s(literal 1/4 binary64))) (/.f64 (.f64 im im) (*.f64 re re))))
(+ (* -1/8 (* (pow (/ -1 (* (log 10) (pow (log (/ -1 re)) 3))) 1/4) (/ (pow im 2) (pow re 2)))) (+ (* (pow (/ (* -1 (log (/ -1 re))) (log 10)) 1/4) (/ (+ (* -1/768 (/ (* (pow im 2) (+ (* -3 (/ (pow im 4) (pow (log (/ -1 re)) 2))) (* 6 (/ (pow im 4) (log (/ -1 re)))))) (log (/ -1 re)))) (+ (* -1/3072 (/ (pow im 6) (pow (log (/ -1 re)) 3))) (* 1/2880 (+ (* -120 (/ (pow im 6) (log (/ -1 re)))) (+ (* -30 (/ (pow im 6) (pow (log (/ -1 re)) 3))) (* 90 (/ (pow im 6) (pow (log (/ -1 re)) 2)))))))) (pow re 6))) (+ (* (pow (/ (* -1 (log (/ -1 re))) (log 10)) 1/4) (/ (+ (* 1/128 (/ (pow im 4) (pow (log (/ -1 re)) 2))) (* 1/96 (+ (* -3 (/ (pow im 4) (pow (log (/ -1 re)) 2))) (* 6 (/ (pow im 4) (log (/ -1 re))))))) (pow re 4))) (pow (/ (* -1 (log (/ -1 re))) (log 10)) 1/4))))
(fma.f64 (pow.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (neg.f64 (log.f64 #s(literal 10 binary64)))) #s(literal 1/4 binary64)) (+.f64 (/.f64 (fma.f64 (.f64 (.f64 im im) (/.f64 (fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) re))) #s(literal 6 binary64) (/.f64 (.f64 #s(literal -3 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) re)))) #s(literal -1/768 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) re))) #s(literal -120 binary64) (fma.f64 (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 2 binary64))) #s(literal 90 binary64) (/.f64 (.f64 #s(literal -30 binary64) (pow.f64 im #s(literal 6 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 3 binary64))))) #s(literal 1/2880 binary64) (/.f64 (.f64 #s(literal -1/3072 binary64) (pow.f64 im #s(literal 6 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 3 binary64))))) (pow.f64 re #s(literal 6 binary64))) (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) re))) #s(literal 6 binary64) (/.f64 (.f64 #s(literal -3 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 2 binary64)))) #s(literal 1/96 binary64) (/.f64 (.f64 #s(literal 1/128 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 2 binary64)))) (pow.f64 re #s(literal 4 binary64)))) (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 3 binary64)) (log.f64 #s(literal 10 binary64)))) #s(literal 1/4 binary64))) (/.f64 (.f64 im im) (*.f64 re re)) (pow.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (neg.f64 (log.f64 #s(literal 10 binary64)))) #s(literal 1/4 binary64))))
(* 1/2 (/ (log (pow re 2)) (log 10)))
(.f64 (/.f64 (log.f64 (.f64 re re)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64))
(+ (* 1/2 (/ (log (pow re 2)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))
(.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (.f64 im im) (.f64 (.f64 re re) (log.f64 #s(literal 10 binary64)))) (/.f64 (log.f64 (*.f64 re re)) (log.f64 #s(literal 10 binary64)))))
(+ (* 1/2 (/ (log (pow re 2)) (log 10))) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log 10)))) (* 1/2 (/ 1 (* (pow re 2) (log 10)))))))
(fma.f64 (/.f64 (log.f64 (.f64 re re)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64) (.f64 (fma.f64 (/.f64 (.f64 im im) (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64)))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 re re) (log.f64 #s(literal 10 binary64))))) (*.f64 im im)))
(+ (* 1/2 (/ (log (pow re 2)) (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)))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 im im) (.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 #s(literal 10 binary64)))) #s(literal 1/6 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))))) (.f64 im im) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 re re) (log.f64 #s(literal 10 binary64))))) (.f64 im im) (.f64 (/.f64 (log.f64 (*.f64 re re)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)))
(* -1 (/ (log (/ 1 im)) (log 10)))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))
(fma.f64 (/.f64 (.f64 re re) (.f64 (*.f64 im im) (log.f64 #s(literal 10 binary64)))) #s(literal 1/2 binary64) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))
(fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64)))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (.f64 re re) (.f64 (.f64 im im) (log.f64 #s(literal 10 binary64)))) #s(literal 1/2 binary64) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))))
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/6 (/ (pow re 6) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))))
(+.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 6 binary64)) (.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 #s(literal 10 binary64)))) #s(literal 1/6 binary64) (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64)))) #s(literal -1/4 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 (.f64 im im) (log.f64 #s(literal 10 binary64)))))) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))
(* -1 (/ (log (/ -1 im)) (log 10)))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 #s(literal 10 binary64))))
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))
(fma.f64 (/.f64 (.f64 re re) (.f64 (*.f64 im im) (log.f64 #s(literal 10 binary64)))) #s(literal 1/2 binary64) (/.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)) (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64)))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (.f64 re re) (.f64 (.f64 im im) (log.f64 #s(literal 10 binary64)))) #s(literal 1/2 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 #s(literal 10 binary64))))))
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/6 (/ (pow re 6) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))))
(-.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 6 binary64)) (.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 #s(literal 10 binary64)))) #s(literal 1/6 binary64) (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64)))) #s(literal -1/4 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 (.f64 im im) (log.f64 #s(literal 10 binary64)))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 10 binary64))))
(* 1/2 (/ (log (pow im 2)) (log 10)))
(.f64 (/.f64 (log.f64 (.f64 im im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64))
(+ (* 1/2 (/ (log (pow im 2)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))
(.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (.f64 re re) (.f64 (.f64 im im) (log.f64 #s(literal 10 binary64)))) (/.f64 (log.f64 (*.f64 im im)) (log.f64 #s(literal 10 binary64)))))
(+ (* 1/2 (/ (log (pow im 2)) (log 10))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))))
(fma.f64 (/.f64 (log.f64 (.f64 im im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64) (.f64 (fma.f64 (/.f64 (.f64 re re) (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64)))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (log.f64 #s(literal 10 binary64))))) (*.f64 re re)))
(+ (* 1/2 (/ (log (pow im 2)) (log 10))) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 re re) (.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 #s(literal 10 binary64)))) #s(literal 1/6 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))))) (.f64 re re) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (log.f64 #s(literal 10 binary64))))) (.f64 re re) (.f64 (/.f64 (log.f64 (*.f64 im im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)))
(* -1 (/ (log (/ 1 re)) (log 10)))
(/.f64 (log.f64 re) (log.f64 #s(literal 10 binary64)))
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))
(fma.f64 (/.f64 (.f64 im im) (.f64 (*.f64 re re) (log.f64 #s(literal 10 binary64)))) #s(literal 1/2 binary64) (/.f64 (log.f64 re) (log.f64 #s(literal 10 binary64))))
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))
(fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64)))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (.f64 im im) (.f64 (.f64 re re) (log.f64 #s(literal 10 binary64)))) #s(literal 1/2 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)))) (+ (* 1/6 (/ (pow im 6) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))))
(+.f64 (fma.f64 (/.f64 (pow.f64 im #s(literal 6 binary64)) (.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 #s(literal 10 binary64)))) #s(literal 1/6 binary64) (fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64)))) #s(literal -1/4 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 (.f64 re re) (log.f64 #s(literal 10 binary64)))))) (/.f64 (log.f64 re) (log.f64 #s(literal 10 binary64))))
(* -1 (/ (log (/ -1 re)) (log 10)))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (neg.f64 (log.f64 #s(literal 10 binary64))))
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))
(fma.f64 (/.f64 (.f64 im im) (.f64 (*.f64 re re) (log.f64 #s(literal 10 binary64)))) #s(literal 1/2 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (neg.f64 (log.f64 #s(literal 10 binary64)))))
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))
(fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64)))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (.f64 im im) (.f64 (.f64 re re) (log.f64 #s(literal 10 binary64)))) #s(literal 1/2 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (neg.f64 (log.f64 #s(literal 10 binary64))))))
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/6 (/ (pow im 6) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))))
(-.f64 (fma.f64 (/.f64 (pow.f64 im #s(literal 6 binary64)) (.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 #s(literal 10 binary64)))) #s(literal 1/6 binary64) (fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64)))) #s(literal -1/4 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 (.f64 re re) (log.f64 #s(literal 10 binary64)))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 #s(literal 10 binary64))))
(/ (log im) (log 10))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(/ (log im) (log 10))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(/ (log im) (log 10))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(/ (log im) (log 10))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(* -1 (/ (log (/ 1 im)) (log 10)))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(* -1 (/ (log (/ 1 im)) (log 10)))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(* -1 (/ (log (/ 1 im)) (log 10)))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(* -1 (/ (log (/ 1 im)) (log 10)))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 10 binary64)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 10 binary64)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 10 binary64)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 10 binary64)))
(pow re 2)
(*.f64 re 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)
(pow re 2)
(*.f64 re 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)
(pow re 2)
(*.f64 re re)
(pow re 2)
(*.f64 re re)

rewrite216.0ms (3.1%)

Memory

18.5MiB live, 328.7MiB allocated

Rules

3 222×	`lower-*.f32`
3 214×	`lower-*.f64`
3 194×	`lower-fma.f32`
3 192×	`lower-fma.f64`
1 988×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	234
0	56	227
1	165	204
2	797	204
3	5495	204
0	8097	152

Stop Event

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

Counts

19 → 783

Calls

Call 1

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

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

eval503.0ms (7.2%)

Memory: -169.0MiB live, 402.2MiB allocated
Compiler: Compiled 35 924 to 3 742 computations (89.6% saved)

prune215.0ms (3.1%)

Memory

8.5MiB live, 497.7MiB allocated

Pruning

16 alts after pruning (6 fresh and 10 done)

	Pruned	Kept	Total
New	1 351	3	1 354
Fresh	2	3	5
Picked	0	5	5
Done	0	5	5
Total	1 353	16	1 369

Accuracy

100.0%

Counts

1 369 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	75.4%	(pow.f64 (pow.f64 #s(approx (* (/ 1/2 (log 10)) (log (+ (* im im) (* re re)))) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))) #s(literal 1/4 binary64)) #s(literal 4 binary64))
	75.7%	(pow.f64 (sqrt.f64 #s(approx (* (/ 1/2 (log 10)) (log (+ (* im im) (* re re)))) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))) #s(literal 2 binary64))
	98.0%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
✓	97.6%	(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
	98.1%	(/.f64 (.f64 (neg.f64 (pow.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)) #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))))
✓	55.8%	(/.f64 (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
✓	55.6%	(/.f64 (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal -1/2 binary64)) (log.f64 #s(literal 1/10 binary64)))
	97.9%	(/.f64 (neg.f64 (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal 2 binary64))) (.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im))))
✓	97.9%	(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))
✓	99.1%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
✓	98.1%	(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
✓	98.2%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
✓	98.1%	(/.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))))
	97.9%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
	75.5%	(.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64))) (neg.f64 (pow.f64 (pow.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
✓	97.6%	(.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64))) (neg.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im))))

Compiler

Compiled 775 to 283 computations (63.5% saved)

regimes80.0ms (1.1%)

Memory

-21.2MiB live, 173.2MiB allocated

Counts

33 → 1

Calls

Call 1

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

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

Calls

8 calls:

12.0ms	im
11.0ms	(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
10.0ms	(+.f64 (.f64 re re) (.f64 im im))
10.0ms	(*.f64 im im)
9.0ms	re

Results

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

Compiler

Compiled 60 to 38 computations (36.7% saved)

regimes51.0ms (0.7%)

Memory

14.4MiB live, 106.6MiB allocated

Counts

18 → 1

Calls

Call 1

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

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

Calls

8 calls:

11.0ms	(+.f64 (.f64 re re) (.f64 im im))
8.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))
5.0ms	im
5.0ms	re
5.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Results

Accuracy	Segments	Branch
98.2%	1	`re`
98.2%	1	`im`
98.2%	1	`(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))`
98.2%	1	`(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))`
98.2%	1	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
98.2%	1	`(+.f64 (.f64 re re) (.f64 im im))`
98.2%	1	`(*.f64 re re)`
98.2%	1	`(*.f64 im im)`

Compiler

Compiled 60 to 38 computations (36.7% saved)

regimes18.0ms (0.3%)

Memory

-1.7MiB live, 36.9MiB allocated

Accuracy

Total -0.6b remaining (-47%)

Threshold costs -0.6b (-47%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

8 calls:

4.0ms	(*.f64 re re)
2.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))
2.0ms	im
2.0ms	re
2.0ms	(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))

Results

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

Compiler

Compiled 60 to 38 computations (36.7% saved)

simplify5.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	39
1	21	39

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

soundness381.0ms (5.4%)

Memory

-23.4MiB live, 330.3MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	152
0	51	125
1	136	105
2	657	101
3	5756	101
0	8421	101
0	268	1640
1	730	1596
2	2198	1594
3	5817	1582
0	8414	1470
0	10	38
0	17	38
1	44	38
2	251	38
3	2046	38
0	8387	22

Stop Event

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

Compiler

Compiled 74 to 46 computations (37.8% saved)

preprocess94.0ms (1.3%)

Memory

-5.9MiB live, 77.1MiB allocated

Remove

(sort re im)

(abs re)

(abs im)

Compiler

Compiled 128 to 86 computations (32.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

Iter	Nodes	Cost
0	32	261
0	51	255
1	63	255
2	77	249
3	97	249
4	131	249
5	142	249
6	144	249
7	150	249
8	156	249
9	165	249
10	194	249
11	223	249
12	247	249
13	277	249
0	277	249

Iter	Nodes	Cost
0	35	269
0	54	265
1	75	261
2	101	259
3	121	259
4	169	259
5	250	259
6	305	259
7	336	259
8	343	259
9	348	259
10	351	259
11	368	259
12	377	259
0	377	235

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	32	261
0	51	255
1	63	255
2	77	249
3	97	249
4	131	249
5	142	249
6	144	249
7	150	249
8	156	249
9	165	249
10	194	249
11	223	249
12	247	249
13	277	249
0	277	249

Iter	Nodes	Cost
0	35	269
0	54	265
1	75	261
2	101	259
3	121	259
4	169	259
5	250	259
6	305	259
7	336	259
8	343	259
9	348	259
10	351	259
11	368	259
12	377	259
0	377	235

start0.0ms (0%)

analyze138.0ms (2%)

sample1.3s (17.9%)

explain166.0ms (2.4%)

preprocess51.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize40.0ms (0.6%)

series15.0ms (0.2%)

simplify201.0ms (2.9%)

rewrite161.0ms (2.3%)

eval70.0ms (1%)

prune113.0ms (1.6%)

simplify14.0ms (0.2%)

localize121.0ms (1.7%)

series168.0ms (2.4%)

simplify238.0ms (3.4%)

rewrite214.0ms (3%)

eval317.0ms (4.5%)

prune294.0ms (4.2%)

simplify17.0ms (0.2%)

localize184.0ms (2.6%)

series110.0ms (1.6%)

simplify215.0ms (3.1%)

rewrite191.0ms (2.7%)

eval317.0ms (4.5%)

prune387.0ms (5.5%)

simplify39.0ms (0.6%)

localize169.0ms (2.4%)

series51.0ms (0.7%)

simplify206.0ms (2.9%)

rewrite216.0ms (3.1%)

eval503.0ms (7.2%)

prune215.0ms (3.1%)

regimes80.0ms (1.1%)

regimes51.0ms (0.7%)

regimes18.0ms (0.3%)

simplify5.0ms (0.1%)

soundness381.0ms (5.4%)

preprocess94.0ms (1.3%)

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	32	261
0	51	255
1	63	255
2	77	249
3	97	249
4	131	249
5	142	249
6	144	249
7	150	249
8	156	249
9	165	249
10	194	249
11	223	249
12	247	249
13	277	249
0	277	249

Iter	Nodes	Cost
0	35	269
0	54	265
1	75	261
2	101	259
3	121	259
4	169	259
5	250	259
6	305	259
7	336	259
8	343	259
9	348	259
10	351	259
11	368	259
12	377	259
0	377	235