Metrics for math.log/2 on complex, real part

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze207.0ms (4%)

Memory

-11.7MiB live, 208.3MiB allocated; 70ms collecting garbage

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%	49.9%	0.1%	0%	49.9%	0%	4
0%	0%	49.9%	0.1%	0%	49.9%	0%	5
0%	0%	49.9%	0.1%	0%	49.9%	0%	6
9.4%	4.7%	45.2%	0.1%	0%	49.9%	0%	7
17.2%	8.6%	41.3%	0.1%	0%	49.9%	0%	8
27.3%	13.7%	36.3%	0.1%	0%	49.9%	0%	9
41%	20.5%	29.4%	0.1%	0%	49.9%	0%	10
48.6%	24.3%	25.6%	0.1%	0%	49.9%	0%	11
57.1%	28.5%	21.4%	0.1%	0%	49.9%	0%	12

Compiler

Compiled 30 to 17 computations (43.3% saved)

sample2.0s (39%)

Memory

20.2MiB live, 2 194.0MiB allocated; 1.2s collecting garbage

Samples

1.6s	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-mult: 570.0ms (45.3% of total)

ival-log: 223.0ms (17.7% of total)

ival-hypot: 218.0ms (17.3% of total)

ival-add: 114.0ms (9.1% of total)

ival-atan2: 67.0ms (5.3% of total)

ival-div: 54.0ms (4.3% of total)

exact: 6.0ms (0.5% of total)

adjust: 3.0ms (0.2% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain289.0ms (5.7%)

Memory

10.2MiB live, 399.2MiB allocated; 32ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
130	-	-	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
0	-	-	`(log.f64 base)`
0	-	-	`(*.f64 re re)`
0	-	-	`(atan2.f64 im re)`
0	-	-	`im`
0	-	-	`(+.f64 (.f64 re re) (.f64 im im))`
0	-	-	`re`
0	-	-	`(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))`
0	-	-	`(+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64)))`
0	-	-	`(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))`
0	-	-	`#s(literal 0 binary64)`
0	-	-	`(*.f64 (atan2.f64 im re) #s(literal 0 binary64))`
0	-	-	`(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))`
0	-	-	`(*.f64 (log.f64 base) (log.f64 base))`
0	-	-	`(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))`
0	-	-	`(*.f64 im im)`
0	-	-	`base`
0	-	-	`(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`	oflow-rescue	113	0
↳	`(+.f64 (.f64 re re) (.f64 im im))`	overflow	113
↳	`(*.f64 re re)`	overflow	77
↳	`(*.f64 im im)`	overflow	50
`sqrt.f64`	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`	uflow-rescue	17	0
↳	`(+.f64 (.f64 re re) (.f64 im im))`	underflow	17
↳	`(*.f64 re re)`	underflow	71
↳	`(*.f64 im im)`	underflow	64

Confusion

	Predicted +	Predicted -
+	130	0
-	0	126

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	130	0	0
-	0	0	126

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	126
1	130

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

95.0ms

512×

valid

Compiler

Compiled 270 to 58 computations (78.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-mult: 17.0ms (32.3% of total)

ival-log: 11.0ms (20.9% of total)

ival-hypot: 9.0ms (17.1% of total)

ival-add: 7.0ms (13.3% of total)

ival-atan2: 4.0ms (7.6% of total)

ival-div: 3.0ms (5.7% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

preprocess133.0ms (2.6%)

Memory

1.0MiB live, 231.7MiB allocated; 37ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	79	209
1	236	189
2	1254	142
0	18	26
0	34	20
1	64	18
2	187	14
3	980	12
4	2597	12
5	5226	12
0	8120	12

Stop Event

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

Calls

Call 1

Inputs

(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Outputs

(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base))

Symmetry

(abs re)

(abs im)

(sort re im)

Compiler

Compiled 28 to 18 computations (35.7% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.4%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Status

Accuracy

Program

▶

50.4%

(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Compiler

Compiled 28 to 18 computations (35.7% saved)

series174.0ms (3.4%)

Memory

-22.3MiB live, 254.4MiB allocated; 34ms collecting garbage

Counts

18 → 148

Calls

Call 1

Inputs
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64)))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))
(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 base)
base
(*.f64 (atan2.f64 im re) #s(literal 0 binary64))
(atan2.f64 im re)
#s(literal 0 binary64)
(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))

Outputs
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (log im) (log base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (* (log base) (log im))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im)))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2))))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* (log base) (log im)) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6))))))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) #s(hole binary64 (* (log base) (log im))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) #s(hole binary64 (+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im)))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) #s(hole binary64 (+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2))))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) #s(hole binary64 (+ (* (log base) (log im)) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6))))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (log im)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (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))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 im))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ im (* 1/2 (/ (pow re 2) im)))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ 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)))))))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (pow im 2)))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (+ (pow im 2) (pow re 2))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx re #s(hole binary64 re))
#s(approx (* (atan2 im re) 0) #s(hole binary64 0))
#s(approx (atan2 im re) #s(hole binary64 (atan2 im re)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (* -1 (/ (log (/ 1 re)) (log base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (* -1 (* (log base) (log (/ 1 re))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) #s(hole binary64 (* -1 (* (log base) (log (/ 1 re))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ 1 re)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -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))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 re))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* 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)))))))))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (pow re 2)))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (* -1 (/ (log (/ -1 re)) (log base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (* -1 (* (log base) (log (/ -1 re))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) #s(hole binary64 (* -1 (* (log base) (log (/ -1 re))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ -1 re)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -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))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 re)))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (log re) (log base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (* (log base) (log re))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))) (* (log base) (log re)))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* (log base) (log re)) (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (log base)) (pow re 4))) (* 1/2 (/ (log base) (pow re 2))))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* (log base) (log re)) (* (pow im 2) (+ (* 1/2 (/ (log base) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (log base) (pow re 4))) (* 1/6 (/ (* (pow im 2) (log base)) (pow re 6))))))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) #s(hole binary64 (* (log base) (log re))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) #s(hole binary64 (+ (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))) (* (log base) (log re)))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) #s(hole binary64 (+ (* (log base) (log re)) (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (log base)) (pow re 4))) (* 1/2 (/ (log base) (pow re 2))))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) #s(hole binary64 (+ (* (log base) (log re)) (* (pow im 2) (+ (* 1/2 (/ (log base) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (log base) (pow re 4))) (* 1/6 (/ (* (pow im 2) (log base)) (pow re 6))))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (log re)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log re) (* 1/2 (/ (pow im 2) (pow re 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log re) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (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))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ re (* 1/2 (/ (pow im 2) re)))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ 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)))))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx im #s(hole binary64 im))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (* -1 (/ (log (/ 1 im)) (log base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (* -1 (* (log base) (log (/ 1 im))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) #s(hole binary64 (* -1 (* (log base) (log (/ 1 im))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ 1 im)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -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))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* 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)))))))))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (* -1 (/ (log (/ -1 im)) (log base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (* -1 (* (log base) (log (/ -1 im))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) #s(hole binary64 (* -1 (* (log base) (log (/ -1 im))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ -1 im)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -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))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 im)))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) #s(hole binary64 (* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))))
#s(approx (log base) #s(hole binary64 (log base)))
#s(approx base #s(hole binary64 base))
#s(approx (+ (* (log base) (log base)) (* 0 0)) #s(hole binary64 (pow (log base) 2)))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (log base) 2)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) #s(hole binary64 (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))))
#s(approx (log base) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (+ (* (log base) (log base)) (* 0 0)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) #s(hole binary64 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (log base) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 base))))))
#s(approx (+ (* (log base) (log base)) (* 0 0)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))

Calls

9 calls:

Time	Variable		Point	Expression
66.0ms	base	@	inf	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) re (* im im) im (log base) base (* (atan2 im re) 0) (atan2 im re) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0))
60.0ms	base	@	0	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) re (* im im) im (log base) base (* (atan2 im re) 0) (atan2 im re) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0))
21.0ms	base	@	-inf	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) re (* im im) im (log base) base (* (atan2 im re) 0) (atan2 im re) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0))
6.0ms	re	@	inf	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) re (* im im) im (log base) base (* (atan2 im re) 0) (atan2 im re) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0))
4.0ms	im	@	0	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) re (* im im) im (log base) base (* (atan2 im re) 0) (atan2 im re) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0))

rewrite180.0ms (3.5%)

Memory

31.2MiB live, 276.8MiB allocated; 53ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	541	5513
0	566	4927
1	2887	4895
0	8237	4895

Stop Event

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

Counts

166 → 281

Calls

Call 1

Inputs
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64)))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))
(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 base)
base
(*.f64 (atan2.f64 im re) #s(literal 0 binary64))
(atan2.f64 im re)
#s(literal 0 binary64)
(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (log im) (log base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (* (log base) (log im))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im)))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2))))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* (log base) (log im)) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6))))))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) #s(hole binary64 (* (log base) (log im))))
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#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -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))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 im)))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) #s(hole binary64 (* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))))
#s(approx (log base) #s(hole binary64 (log base)))
#s(approx base #s(hole binary64 base))
#s(approx (+ (* (log base) (log base)) (* 0 0)) #s(hole binary64 (pow (log base) 2)))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (log base) 2)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) #s(hole binary64 (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))))
#s(approx (log base) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (+ (* (log base) (log base)) (* 0 0)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) #s(hole binary64 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (log base) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 base))))))
#s(approx (+ (* (log base) (log base)) (* 0 0)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))

Outputs
(/.f64 (neg.f64 (neg.f64 (+.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (*.f64 re re))))) #s(literal 0 binary64)))) (neg.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(/.f64 (+.f64 (.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (neg.f64 (+.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (*.f64 re re))))) #s(literal 0 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (+.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (*.f64 re re))))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(+.f64 (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (*.f64 re re))))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))))) #s(literal 2 binary64)) #s(literal 0 binary64))) (neg.f64 (-.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))))) #s(literal 0 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))))) #s(literal 3 binary64)) #s(literal 0 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))))) #s(literal 0 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))))) #s(literal 2 binary64)) #s(literal 0 binary64)) (-.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))))) #s(literal 0 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))))) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))))) #s(literal 0 binary64)))))
(-.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))))) (.f64 (neg.f64 (atan2.f64 im re)) #s(literal 0 binary64)))
(+.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (*.f64 re re))))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (*.f64 re re))))))
(log.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 im im) (*.f64 re re))) (log.f64 base)) #s(literal 1 binary64)))
(log.f64 (.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 (.f64 im im) (*.f64 re re))) (log.f64 base))))
(.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (*.f64 re re)))))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (*.f64 re re)))) (log.f64 base))
(log.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))) (log.f64 base)))
(.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 im im) (*.f64 re re))))
(log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))))
(pow.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))) #s(literal 1 binary64))
(pow.f64 (+.f64 (.f64 im im) (.f64 re re)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (.f64 re re) (.f64 im im))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (.f64 im im) (.f64 re re))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 re im) #s(literal 2 binary64))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))))))
(sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))
(exp.f64 (.f64 (log.f64 (+.f64 (.f64 im im) (*.f64 re re))) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (neg.f64 (-.f64 (.f64 re re) (.f64 im im))))
(/.f64 (neg.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (neg.f64 (-.f64 (.f64 im im) (.f64 re re))))
(/.f64 (neg.f64 (+.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 re im) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (-.f64 (.f64 re re) (.f64 im im)))
(/.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (-.f64 (.f64 im im) (.f64 re re)))
(/.f64 (+.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (+.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 re im) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (+.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64)))))
(-.f64 (.f64 re re) (.f64 (neg.f64 im) im))
(+.f64 (.f64 im im) (.f64 re re))
(+.f64 (.f64 re re) (.f64 im im))
(*.f64 (neg.f64 (neg.f64 re)) (neg.f64 (neg.f64 re)))
(*.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (fabs.f64 re)))
(*.f64 (fabs.f64 (fabs.f64 re)) (fabs.f64 (fabs.f64 re)))
(*.f64 (neg.f64 re) (neg.f64 re))
(*.f64 (fabs.f64 re) (fabs.f64 re))
(*.f64 re re)
(pow.f64 (neg.f64 re) #s(literal 2 binary64))
(pow.f64 (fabs.f64 re) #s(literal 2 binary64))
(pow.f64 (*.f64 re re) #s(literal 1 binary64))
(pow.f64 re #s(literal 2 binary64))
(fabs.f64 (*.f64 re re))
(exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 re) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 re) #s(literal 2 binary64))))
re
(*.f64 (neg.f64 (neg.f64 im)) (neg.f64 (neg.f64 im)))
(*.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 im)))
(*.f64 (fabs.f64 (fabs.f64 im)) (fabs.f64 (fabs.f64 im)))
(*.f64 (neg.f64 im) (neg.f64 im))
(*.f64 (fabs.f64 im) (fabs.f64 im))
(*.f64 im im)
(pow.f64 (neg.f64 im) #s(literal 2 binary64))
(pow.f64 (fabs.f64 im) #s(literal 2 binary64))
(pow.f64 (*.f64 im im) #s(literal 1 binary64))
(pow.f64 im #s(literal 2 binary64))
(fabs.f64 (*.f64 im im))
(exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 im) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 im) #s(literal 2 binary64))))
im
(pow.f64 (log.f64 base) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))
(log.f64 base)
base
#s(literal 0 binary64)
(atan2.f64 im re)
#s(literal 0 binary64)
(*.f64 (neg.f64 (fabs.f64 (log.f64 base))) (neg.f64 (fabs.f64 (log.f64 base))))
(*.f64 (fabs.f64 (fabs.f64 (log.f64 base))) (fabs.f64 (fabs.f64 (log.f64 base))))
(*.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 base)))) (exp.f64 (log.f64 (neg.f64 (log.f64 base)))))
(*.f64 (exp.f64 (log.f64 (log.f64 base))) (exp.f64 (log.f64 (log.f64 base))))
(*.f64 (fabs.f64 (log.f64 base)) (fabs.f64 (log.f64 base)))
(*.f64 (neg.f64 (neg.f64 (log.f64 base))) (neg.f64 (neg.f64 (log.f64 base))))
(*.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 base)))
(*.f64 (log.f64 base) (log.f64 base))
(pow.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 base)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (log.f64 base))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (log.f64 base)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))) (neg.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 0 binary64))) (neg.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))))
(/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64)))
(/.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64)))))
(fabs.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))))
(+.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 base #s(literal -1 binary64)) (neg.f64 (log.f64 base))))
(log.f64 (*.f64 (pow.f64 base (log.f64 base)) #s(literal 1 binary64)))
(log.f64 (*.f64 #s(literal 1 binary64) (pow.f64 base (log.f64 base))))
(log.f64 (pow.f64 base (log.f64 base)))
(*.f64 (neg.f64 (fabs.f64 (log.f64 base))) (neg.f64 (fabs.f64 (log.f64 base))))
(*.f64 (fabs.f64 (fabs.f64 (log.f64 base))) (fabs.f64 (fabs.f64 (log.f64 base))))
(*.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 base)))) (exp.f64 (log.f64 (neg.f64 (log.f64 base)))))
(*.f64 (exp.f64 (log.f64 (log.f64 base))) (exp.f64 (log.f64 (log.f64 base))))
(*.f64 (fabs.f64 (log.f64 base)) (fabs.f64 (log.f64 base)))
(*.f64 (neg.f64 (neg.f64 (log.f64 base))) (neg.f64 (neg.f64 (log.f64 base))))
(*.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 base)))
(*.f64 (log.f64 base) (log.f64 base))
(pow.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 base)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (log.f64 base))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (log.f64 base)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))) (neg.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 0 binary64))) (neg.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))))
(/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64)))
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(fabs.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))
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(log.f64 (pow.f64 (pow.f64 base #s(literal -1 binary64)) (neg.f64 (log.f64 base))))
(log.f64 (*.f64 (pow.f64 base (log.f64 base)) #s(literal 1 binary64)))
(log.f64 (*.f64 #s(literal 1 binary64) (pow.f64 base (log.f64 base))))
(log.f64 (pow.f64 base (log.f64 base)))
#s(literal 0 binary64)
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 (.f64 im im) (log.f64 base)))))
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eval42.0ms (0.8%)

Memory: 21.3MiB live, 106.4MiB allocated; 14ms collecting garbage
Compiler: Compiled 10 730 to 1 339 computations (87.5% saved)

prune43.0ms (0.8%)

Memory

-44.5MiB live, 53.0MiB allocated; 37ms collecting garbage

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	251	13	264
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	252	13	265

Accuracy

99.1%

Counts

265 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.8%	(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))))) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))))) #s(literal 0 binary64))))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
▶	50.4%	(/.f64 (+.f64 (.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
▶	50.4%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	50.4%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))
	50.4%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (/.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))))
	50.4%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64))) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	28.4%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	4.6%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (log.f64 (pow.f64 base (log.f64 base))))
	21.3%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))))
▶	28.2%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))))
	98.6%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (log.f64 im) (log.f64 base))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
▶	50.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) (log.f64 base)))
▶	98.8%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))

Compiler

Compiled 876 to 568 computations (35.2% saved)

series258.0ms (5%)

Memory

21.8MiB live, 396.1MiB allocated; 49ms collecting garbage

Counts

45 → 472

Calls

Call 1

Inputs
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(log.f64 im)
im
(log.f64 base)
base
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) (log.f64 base)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) (log.f64 base))
(log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))))
(sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))
(+.f64 (.f64 im im) (.f64 re re))
(*.f64 im im)
(*.f64 re re)
re
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))))
(+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64)))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))
(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 (atan2.f64 im re) #s(literal 0 binary64))
(atan2.f64 im re)
#s(literal 0 binary64)
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))
(*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))
(log.f64 (log.f64 base))
#s(literal 2 binary64)
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))) (.f64 (atan2.f64 im re) #s(literal 0 binary64)))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
#s(literal 1 binary64)
(pow.f64 (log.f64 base) #s(literal -1 binary64))
#s(literal -1 binary64)
(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (+.f64 (.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(+.f64 (.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64)))
(.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (*.f64 re re)))))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))
(pow.f64 (log.f64 base) #s(literal 4 binary64))
#s(literal 4 binary64)

Outputs
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (log im) (log base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))))
#s(approx (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) #s(hole binary64 (/ (log im) (log base))))
#s(approx (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) #s(hole binary64 (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))))
#s(approx (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) #s(hole binary64 (+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))))
#s(approx (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) #s(hole binary64 (+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))))
#s(approx (log (sqrt (+ (* im im) (* re re)))) #s(hole binary64 (log im)))
#s(approx (log (sqrt (+ (* im im) (* re re)))) #s(hole binary64 (+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))))
#s(approx (log (sqrt (+ (* im im) (* re re)))) #s(hole binary64 (+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))))
#s(approx (log (sqrt (+ (* im im) (* re re)))) #s(hole binary64 (+ (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))))))))
#s(approx (sqrt (+ (* im im) (* re re))) #s(hole binary64 im))
#s(approx (sqrt (+ (* im im) (* re re))) #s(hole binary64 (+ im (* 1/2 (/ (pow re 2) im)))))
#s(approx (sqrt (+ (* im im) (* re re))) #s(hole binary64 (+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))))
#s(approx (sqrt (+ (* im im) (* re re))) #s(hole binary64 (+ 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)))))))
#s(approx (+ (* im im) (* re re)) #s(hole binary64 (pow im 2)))
#s(approx (+ (* im im) (* re re)) #s(hole binary64 (+ (pow im 2) (pow re 2))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx re #s(hole binary64 re))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (exp (* (log (log base)) 2))) #s(hole binary64 (/ (log im) (log base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (exp (* (log (log base)) 2))) #s(hole binary64 (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (exp (* (log (log base)) 2))) #s(hole binary64 (+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (exp (* (log (log base)) 2))) #s(hole binary64 (+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (* (log base) (log im))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im)))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2))))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* (log base) (log im)) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6))))))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) #s(hole binary64 (* (log base) (log im))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) #s(hole binary64 (+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im)))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) #s(hole binary64 (+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2))))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) #s(hole binary64 (+ (* (log base) (log im)) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6))))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (log im)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (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))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 im))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ im (* 1/2 (/ (pow re 2) im)))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ 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)))))))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (pow im 2)))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (+ (pow im 2) (pow re 2))))
#s(approx (* (atan2 im re) 0) #s(hole binary64 0))
#s(approx (atan2 im re) #s(hole binary64 (atan2 im re)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (log im) (log base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) #s(hole binary64 (* (log base) (log im))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) #s(hole binary64 (+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im)))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) #s(hole binary64 (+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2))))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) #s(hole binary64 (+ (* (log base) (log im)) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6))))))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) #s(hole binary64 (* (log base) (log im))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) #s(hole binary64 (+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im)))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) #s(hole binary64 (+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2))))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) #s(hole binary64 (+ (* (log base) (log im)) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6))))))))))
#s(approx (/ (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) #s(hole binary64 (/ (log im) (log base))))
#s(approx (/ (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) #s(hole binary64 (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))))
#s(approx (/ (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) #s(hole binary64 (+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))))
#s(approx (/ (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) #s(hole binary64 (+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))))
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) #s(hole binary64 (* (pow (log base) 3) (log im))))
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) #s(hole binary64 (+ (* 1/2 (/ (* (pow re 2) (pow (log base) 3)) (pow im 2))) (* (pow (log base) 3) (log im)))))
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) #s(hole binary64 (+ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (pow (log base) 3)) (pow im 4))) (* 1/2 (/ (pow (log base) 3) (pow im 2))))) (* (pow (log base) 3) (log im)))))
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) #s(hole binary64 (+ (* (pow re 2) (+ (* 1/2 (/ (pow (log base) 3) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (pow (log base) 3) (pow im 4))) (* 1/6 (/ (* (pow re 2) (pow (log base) 3)) (pow im 6))))))) (* (pow (log base) 3) (log im)))))
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Calls

9 calls:

Time	Variable		Point	Expression
58.0ms	im	@	0	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (log base)) (log im) im (log base) base (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re)) (* im im) (* re re) re (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (exp (* (log (log base)) 2))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* (atan2 im re) 0) (atan2 im re) 0 (exp (* (log (log base)) 2)) (* (log (log base)) 2) (log (log base)) 2 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (/ 1 (pow (log base) -1)) 1 (pow (log base) -1) -1 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) (/ (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2) (* (pow (log base) 2) 0) (pow (log base) 4) 4)
54.0ms	base	@	0	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (log base)) (log im) im (log base) base (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re)) (* im im) (* re re) re (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (exp (* (log (log base)) 2))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* (atan2 im re) 0) (atan2 im re) 0 (exp (* (log (log base)) 2)) (* (log (log base)) 2) (log (log base)) 2 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (/ 1 (pow (log base) -1)) 1 (pow (log base) -1) -1 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) (/ (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2) (* (pow (log base) 2) 0) (pow (log base) 4) 4)
50.0ms	base	@	-inf	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (log base)) (log im) im (log base) base (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re)) (* im im) (* re re) re (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (exp (* (log (log base)) 2))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* (atan2 im re) 0) (atan2 im re) 0 (exp (* (log (log base)) 2)) (* (log (log base)) 2) (log (log base)) 2 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (/ 1 (pow (log base) -1)) 1 (pow (log base) -1) -1 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) (/ (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2) (* (pow (log base) 2) 0) (pow (log base) 4) 4)
43.0ms	base	@	inf	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (log base)) (log im) im (log base) base (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re)) (* im im) (* re re) re (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (exp (* (log (log base)) 2))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* (atan2 im re) 0) (atan2 im re) 0 (exp (* (log (log base)) 2)) (* (log (log base)) 2) (log (log base)) 2 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (/ 1 (pow (log base) -1)) 1 (pow (log base) -1) -1 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) (/ (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2) (* (pow (log base) 2) 0) (pow (log base) 4) 4)
17.0ms	im	@	-inf	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (log base)) (log im) im (log base) base (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re)) (* im im) (* re re) re (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (exp (* (log (log base)) 2))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* (atan2 im re) 0) (atan2 im re) 0 (exp (* (log (log base)) 2)) (* (log (log base)) 2) (log (log base)) 2 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (/ 1 (pow (log base) -1)) 1 (pow (log base) -1) -1 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) (/ (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2) (* (pow (log base) 2) 0) (pow (log base) 4) 4)

rewrite251.0ms (4.9%)

Memory

7.2MiB live, 259.6MiB allocated; 113ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1009	19819
0	1086	17335
1	4139	17053
0	8686	17053

Stop Event

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

Counts

517 → 811

Calls

Call 1

Inputs
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(log.f64 im)
im
(log.f64 base)
base
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) (log.f64 base)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) (log.f64 base))
(log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))))
(sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))
(+.f64 (.f64 im im) (.f64 re re))
(*.f64 im im)
(*.f64 re re)
re
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))))
(+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64)))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))
(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 (atan2.f64 im re) #s(literal 0 binary64))
(atan2.f64 im re)
#s(literal 0 binary64)
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))
(*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))
(log.f64 (log.f64 base))
#s(literal 2 binary64)
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))) (.f64 (atan2.f64 im re) #s(literal 0 binary64)))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
#s(literal 1 binary64)
(pow.f64 (log.f64 base) #s(literal -1 binary64))
#s(literal -1 binary64)
(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
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(+.f64 (.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64)))
(.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (*.f64 re re)))))
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#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))))
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#s(approx (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) #s(hole binary64 (+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))))
#s(approx (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) #s(hole binary64 (+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))))
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#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 im))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ im (* 1/2 (/ (pow re 2) im)))))
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#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ 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)))))))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (pow im 2)))
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#s(approx (atan2 im re) #s(hole binary64 (atan2 im re)))
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#s(approx (/ 1 (pow (log base) -1)) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (pow (log base) -1) #s(hole binary64 (/ -1 (log (/ 1 base)))))
#s(approx (+ (* (log base) (log base)) (* 0 0)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (/ (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) #s(hole binary64 (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))))
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) #s(hole binary64 (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log (/ 1 base)) 3)))))
#s(approx (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) #s(hole binary64 (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log (/ 1 base)) 3)))))
#s(approx (* (log base) (log (sqrt (+ (* im im) (* re re))))) #s(hole binary64 (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))))
#s(approx (pow (log base) 2) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log (/ 1 base)) 4)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (log im) (log base)) #s(hole binary64 (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (log base) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 base))))))
#s(approx (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) #s(hole binary64 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (exp (* (log (log base)) 2))) #s(hole binary64 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) #s(hole binary64 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (exp (* (log (log base)) 2)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (* (log (log base)) 2) #s(hole binary64 (* 2 (log (+ (log -1) (* -1 (log (/ -1 base))))))))
#s(approx (log (log base)) #s(hole binary64 (log (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) #s(hole binary64 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) #s(hole binary64 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ 1 (pow (log base) -1)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 base))))))
#s(approx (pow (log base) -1) #s(hole binary64 (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (+ (* (log base) (log base)) (* 0 0)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (/ (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) #s(hole binary64 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) #s(hole binary64 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3))))
#s(approx (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) #s(hole binary64 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3))))
#s(approx (* (log base) (log (sqrt (+ (* im im) (* re re))))) #s(hole binary64 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (pow (log base) 2) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)))

Outputs
#s(approx (/ (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(/.f64 (neg.f64 (log.f64 im)) (neg.f64 (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(*.f64 (neg.f64 (log.f64 im)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 im)))
(neg.f64 (neg.f64 (log.f64 im)))
(log.f64 im)
im
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (log.f64 base) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 base)))
(+.f64 (cosh.f64 (log.f64 (log.f64 base))) (sinh.f64 (log.f64 (log.f64 base))))
(log.f64 base)
base
#s(approx (/ (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) (log.f64 base)))
(/.f64 (neg.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))))) (neg.f64 (log.f64 base)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) (log.f64 base))
(.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 im im) (*.f64 re re))))
(log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))))
(pow.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))) #s(literal 1 binary64))
(pow.f64 (+.f64 (.f64 im im) (.f64 re re)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (.f64 im im) (.f64 re re))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (.f64 re re) (.f64 im im))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 re im) #s(literal 2 binary64))))))
(sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))
(exp.f64 (.f64 (log.f64 (+.f64 (.f64 im im) (*.f64 re re))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (-.f64 (.f64 im im) (.f64 re re)))
(/.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (-.f64 (.f64 re re) (.f64 im im)))
(/.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (+.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (+.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 re im) #s(literal 2 binary64)))))
(-.f64 (.f64 im im) (.f64 (neg.f64 re) re))
(-.f64 (.f64 re re) (.f64 (neg.f64 im) im))
(+.f64 (.f64 im im) (.f64 re re))
(+.f64 (.f64 re re) (.f64 im im))
(*.f64 (neg.f64 (neg.f64 im)) (neg.f64 (neg.f64 im)))
(*.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 im)))
(*.f64 (fabs.f64 (fabs.f64 im)) (fabs.f64 (fabs.f64 im)))
(*.f64 (neg.f64 im) (neg.f64 im))
(*.f64 (fabs.f64 im) (fabs.f64 im))
(*.f64 im im)
(pow.f64 (neg.f64 im) #s(literal 2 binary64))
(pow.f64 (fabs.f64 im) #s(literal 2 binary64))
(pow.f64 (*.f64 im im) #s(literal 1 binary64))
(pow.f64 im #s(literal 2 binary64))
(fabs.f64 (*.f64 im im))
(exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 im) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 im) #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 re)) (neg.f64 (neg.f64 re)))
(*.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (fabs.f64 re)))
(*.f64 (fabs.f64 (fabs.f64 re)) (fabs.f64 (fabs.f64 re)))
(*.f64 (neg.f64 re) (neg.f64 re))
(*.f64 (fabs.f64 re) (fabs.f64 re))
(*.f64 re re)
(pow.f64 (neg.f64 re) #s(literal 2 binary64))
(pow.f64 (fabs.f64 re) #s(literal 2 binary64))
(pow.f64 (*.f64 re re) #s(literal 1 binary64))
(pow.f64 re #s(literal 2 binary64))
(fabs.f64 (*.f64 re re))
(exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 re) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 re) #s(literal 2 binary64))))
re
(/.f64 (+.f64 (.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))) (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (*.f64 re re))))) #s(literal 0 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (*.f64 re re)))) (log.f64 base)))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (+.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (*.f64 re re))))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (*.f64 re re)))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(+.f64 (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (*.f64 re re))))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(+.f64 (/.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (*.f64 re re)))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) (log.f64 base)) #s(literal 2 binary64)) #s(literal 0 binary64)) (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) (log.f64 base)) #s(literal 0 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) (log.f64 base)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) (log.f64 base)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) (log.f64 base)) #s(literal 0 binary64)))))
(-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) (log.f64 base)) (.f64 (neg.f64 (atan2.f64 im re)) #s(literal 0 binary64)))
(+.f64 #s(literal 0 binary64) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (*.f64 re re)))) (log.f64 base)))
(+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (*.f64 re re)))) (log.f64 base)) #s(literal 0 binary64))
(log.f64 (.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 (.f64 im im) (*.f64 re re))) (log.f64 base))))
(log.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 im im) (*.f64 re re))) (log.f64 base)) #s(literal 1 binary64)))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (*.f64 re re)))) (log.f64 base))
(.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (*.f64 re re)))))
(/.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (*.f64 re re)))) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(log.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))) (log.f64 base)))
(.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 im im) (*.f64 re re))))
(log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))))
(pow.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))) #s(literal 1 binary64))
(pow.f64 (+.f64 (.f64 im im) (.f64 re re)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (.f64 im im) (.f64 re re))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (.f64 re re) (.f64 im im))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 re im) #s(literal 2 binary64))))))
(sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))
(exp.f64 (.f64 (log.f64 (+.f64 (.f64 im im) (*.f64 re re))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (-.f64 (.f64 im im) (.f64 re re)))
(/.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (-.f64 (.f64 re re) (.f64 im im)))
(/.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (+.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (+.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 re im) #s(literal 2 binary64)))))
(-.f64 (.f64 im im) (.f64 (neg.f64 re) re))
(-.f64 (.f64 re re) (.f64 (neg.f64 im) im))
(+.f64 (.f64 im im) (.f64 re re))
(+.f64 (.f64 re re) (.f64 im im))
#s(literal 0 binary64)
(atan2.f64 im re)
#s(literal 0 binary64)
(*.f64 (neg.f64 (fabs.f64 (log.f64 base))) (neg.f64 (fabs.f64 (log.f64 base))))
(*.f64 (fabs.f64 (fabs.f64 (log.f64 base))) (fabs.f64 (fabs.f64 (log.f64 base))))
(*.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 base)))) (exp.f64 (log.f64 (neg.f64 (log.f64 base)))))
(*.f64 (pow.f64 (neg.f64 (neg.f64 (log.f64 base))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (log.f64 base))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (neg.f64 (log.f64 base))) #s(literal 1 binary64)) (neg.f64 (neg.f64 (log.f64 base))))
(*.f64 (fabs.f64 (log.f64 base)) (fabs.f64 (log.f64 base)))
(*.f64 (neg.f64 (neg.f64 (log.f64 base))) (neg.f64 (neg.f64 (log.f64 base))))
(*.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (log.f64 base) (log.f64 base))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 base)))
(pow.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 base)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (pow.f64 (log.f64 base) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (fabs.f64 (log.f64 base)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal -2 binary64))
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(fabs.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(exp.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(+.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))
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#s(approx (/ (log im) (log base)) (/.f64 (log.f64 im) (log.f64 base)))
#s(approx (/ 1 (pow (log base) -1)) (neg.f64 (neg.f64 (log.f64 base))))
#s(approx (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (neg.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) (neg.f64 (log.f64 base)))))
#s(approx (/ (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) (neg.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) (neg.f64 (log.f64 base)))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (neg.f64 (log.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))) (neg.f64 (log.f64 base))))))
#s(approx (* (log base) (log (sqrt (+ (* im im) (* re re))))) (neg.f64 (log.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))) (neg.f64 (log.f64 base))))))
#s(approx (pow (log base) 2) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (* (log (log base)) 2) (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
#s(approx (log (log base)) (log.f64 (neg.f64 (neg.f64 (log.f64 base)))))
#s(approx (/ (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) (neg.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) (neg.f64 (log.f64 base)))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (neg.f64 (log.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))) (neg.f64 (log.f64 base))))))
#s(approx (* (log base) (log (sqrt (+ (* im im) (* re re))))) (neg.f64 (log.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))) (neg.f64 (log.f64 base))))))
#s(approx (/ 1 (pow (log base) -1)) (neg.f64 (neg.f64 (log.f64 base))))
#s(approx (pow (log base) -1) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
#s(approx (pow (log base) 2) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (pow (log base) 2) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (/ (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) (neg.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) (neg.f64 (log.f64 base)))))
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (neg.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (*.f64 re re)))))))
#s(approx (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (neg.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (*.f64 re re)))))))
#s(approx (* (log base) (log (sqrt (+ (* im im) (* re re))))) (neg.f64 (log.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))) (neg.f64 (log.f64 base))))))
#s(approx (pow (log base) 2) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (pow (log base) 4) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
#s(approx (/ (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) (log.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64)))))
#s(approx (/ (log im) (log base)) (/.f64 (log.f64 im) (log.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64)))))
#s(approx (/ 1 (pow (log base) -1)) (log.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64))))
#s(approx (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) (log.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64)))))
#s(approx (/ (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) (log.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64)))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (log.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))) (log.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64))))))
#s(approx (* (log base) (log (sqrt (+ (* im im) (* re re))))) (log.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))) (log.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64))))))
#s(approx (pow (log base) 2) (pow.f64 (log.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
#s(approx (* (log (log base)) 2) (.f64 (log.f64 (log.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)))
#s(approx (log (log base)) (log.f64 (log.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64)))))
#s(approx (/ (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) (log.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64)))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (log.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))) (log.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64))))))
#s(approx (* (log base) (log (sqrt (+ (* im im) (* re re))))) (log.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))) (log.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64))))))
#s(approx (/ 1 (pow (log base) -1)) (log.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64))))
#s(approx (pow (log base) -1) (pow.f64 (log.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
#s(approx (pow (log base) 2) (pow.f64 (log.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
#s(approx (pow (log base) 2) (pow.f64 (log.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
#s(approx (/ (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) (log.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64)))))
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (.f64 (pow.f64 (log.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))))))
#s(approx (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (.f64 (pow.f64 (log.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))))))
#s(approx (* (log base) (log (sqrt (+ (* im im) (* re re))))) (log.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))) (log.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64))))))
#s(approx (pow (log base) 2) (pow.f64 (log.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
#s(approx (pow (log base) 4) (pow.f64 (log.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64)))

eval92.0ms (1.8%)

Memory: 7.6MiB live, 148.8MiB allocated; 18ms collecting garbage
Compiler: Compiled 32 623 to 2 977 computations (90.9% saved)

prune36.0ms (0.7%)

Memory

-8.3MiB live, 84.9MiB allocated; 6ms collecting garbage

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	778	12	790
Fresh	3	5	8
Picked	4	1	5
Done	0	0	0
Total	785	18	803

Accuracy

99.2%

Counts

803 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.8%	(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))))) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))))) #s(literal 0 binary64))))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
▶	98.4%	(/.f64 (+.f64 (.f64 (.f64 (log.f64 base) (log.f64 #s(approx (sqrt (+ (* im im) (* re re))) im))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	28.4%	(/.f64 (+.f64 (.f64 (.f64 (exp.f64 (log.f64 (log.f64 base))) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	50.4%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))) #s(approx ( (pow (log base) 2) 0) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	50.3%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal -2 binary64)))
	50.4%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))
	50.4%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (/.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))))
	28.4%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	21.3%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))))
	50.3%	(/.f64 (+.f64 (.f64 (log.f64 base) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	98.6%	(/.f64 #s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 im))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
▶	50.9%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (.f64 (log.f64 im) (log.f64 base))) (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))))
	98.6%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (log.f64 im) (log.f64 base))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
▶	50.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 im im) (*.f64 re re)))) (log.f64 base)))
▶	98.7%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))))
▶	51.7%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
✓	98.8%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
	51.4%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base)))))

Compiler

Compiled 1 230 to 810 computations (34.1% saved)

series307.0ms (6%)

Memory

5.8MiB live, 382.8MiB allocated; 38ms collecting garbage

Counts

43 → 372

Calls

Call 1

Inputs
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))))
(/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64))))
(log.f64 im)
im
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
#s(literal 1 binary64)
(pow.f64 (log.f64 base) #s(literal -1 binary64))
(log.f64 base)
base
#s(literal -1 binary64)
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 im im) (*.f64 re re)))) (log.f64 base)))
(/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 im im) (*.f64 re re)))) (log.f64 base))
(.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 im im) (*.f64 re re))))
#s(literal 1/2 binary64)
(log.f64 (+.f64 (.f64 im im) (.f64 re re)))
(+.f64 (.f64 im im) (.f64 re re))
(*.f64 im im)
(*.f64 re re)
re
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (.f64 (log.f64 im) (log.f64 base))) (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base)))
(*.f64 (log.f64 im) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))
(*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))
(log.f64 (log.f64 base))
#s(literal 2 binary64)
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 (log.f64 im) (*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (log.f64 base) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(/.f64 (+.f64 (.f64 (.f64 (log.f64 base) (log.f64 #s(approx (sqrt (+ (* im im) (* re re))) im))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(+.f64 (.f64 (.f64 (log.f64 base) (log.f64 #s(approx (sqrt (+ (* im im) (* re re))) im))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64)))
(.f64 (.f64 (log.f64 base) (log.f64 #s(approx (sqrt (+ (* im im) (* re re))) im))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(.f64 (log.f64 base) (log.f64 #s(approx (sqrt (+ ( im im) (* re re))) im)))
(log.f64 #s(approx (sqrt (+ (* im im) (* re re))) im))
#s(approx (sqrt (+ (* im im) (* re re))) im)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))
#s(literal 0 binary64)
(pow.f64 (log.f64 base) #s(literal 4 binary64))
#s(literal 4 binary64)

Outputs
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (log im) (log base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))))
#s(approx (/ (* 1/2 (log (+ (* im im) (* re re)))) (log base)) #s(hole binary64 (* 1/2 (/ (log (pow im 2)) (log base)))))
#s(approx (/ (* 1/2 (log (+ (* im im) (* re re)))) (log base)) #s(hole binary64 (+ (* 1/2 (/ (log (pow im 2)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
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#s(approx (log (sqrt (+ (* im im) (* re re)))) #s(hole binary64 (+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))))
#s(approx (log (sqrt (+ (* im im) (* re re)))) #s(hole binary64 (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
#s(approx (log (sqrt (+ (* im im) (* re re)))) #s(hole binary64 (+ (* -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))))))))
#s(approx (sqrt (+ (* im im) (* re re))) #s(hole binary64 (* -1 im)))
#s(approx (sqrt (+ (* im im) (* re re))) #s(hole binary64 (* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))))
#s(approx (sqrt (+ (* im im) (* re re))) #s(hole binary64 (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))))
#s(approx (sqrt (+ (* im im) (* re re))) #s(hole binary64 (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))))
#s(approx (/ 1 (pow (log base) -1)) #s(hole binary64 (log base)))
#s(approx (pow (log base) -1) #s(hole binary64 (/ 1 (log base))))
#s(approx (log base) #s(hole binary64 (log base)))
#s(approx base #s(hole binary64 base))
#s(approx (/ (* 1/2 (log (+ (* im im) (* re re)))) (log base)) #s(hole binary64 (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (log base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (exp (* (log (log base)) 2))) #s(hole binary64 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) #s(hole binary64 (* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))))
#s(approx (exp (* (log (log base)) 2)) #s(hole binary64 (pow (log base) 2)))
#s(approx (* (log (log base)) 2) #s(hole binary64 (* 2 (log (log base)))))
#s(approx (log (log base)) #s(hole binary64 (log (log base))))
#s(approx (* (pow (pow (log base) -1/2) -1) (pow (pow (log base) -1/2) -1)) #s(hole binary64 (log base)))
#s(approx (pow (pow (log base) -1/2) -1) #s(hole binary64 (sqrt (log base))))
#s(approx (pow (log base) -1/2) #s(hole binary64 (sqrt (/ 1 (log base)))))
#s(approx (/ (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) #s(hole binary64 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))))
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) #s(hole binary64 (* (pow (log base) 3) (log (sqrt (+ (pow im 2) (pow re 2)))))))
#s(approx (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) #s(hole binary64 (* (pow (log base) 3) (log (sqrt (+ (pow im 2) (pow re 2)))))))
#s(approx (* (log base) (log (sqrt (+ (* im im) (* re re))))) #s(hole binary64 (* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))))
#s(approx (pow (log base) 2) #s(hole binary64 (pow (log base) 2)))
#s(approx (* (pow (log base) 2) 0) #s(hole binary64 0))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log base) 4)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))))
#s(approx (/ (log im) (/ 1 (pow (log base) -1))) #s(hole binary64 (* -1 (/ (log im) (log (/ 1 base))))))
#s(approx (/ 1 (pow (log base) -1)) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (pow (log base) -1) #s(hole binary64 (/ -1 (log (/ 1 base)))))
#s(approx (log base) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (/ (* 1/2 (log (+ (* im im) (* re re)))) (log base)) #s(hole binary64 (* -1/2 (/ (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (exp (* (log (log base)) 2))) #s(hole binary64 (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) #s(hole binary64 (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))))
#s(approx (* (log im) (log base)) #s(hole binary64 (* -1 (* (log im) (log (/ 1 base))))))
#s(approx (exp (* (log (log base)) 2)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (* (log (log base)) 2) #s(hole binary64 (* 2 (log (* -1 (log (/ 1 base)))))))
#s(approx (log (log base)) #s(hole binary64 (log (* -1 (log (/ 1 base))))))
#s(approx (/ (log im) (* (pow (pow (log base) -1/2) -1) (pow (pow (log base) -1/2) -1))) #s(hole binary64 (* -1 (/ (log im) (log (/ 1 base))))))
#s(approx (* (pow (pow (log base) -1/2) -1) (pow (pow (log base) -1/2) -1)) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (pow (pow (log base) -1/2) -1) #s(hole binary64 (* (sqrt (log (/ 1 base))) (sqrt -1))))
#s(approx (pow (log base) -1/2) #s(hole binary64 (* (sqrt (/ 1 (log (/ 1 base)))) (sqrt -1))))
#s(approx (/ (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) #s(hole binary64 (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))))
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) #s(hole binary64 (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log (/ 1 base)) 3)))))
#s(approx (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) #s(hole binary64 (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log (/ 1 base)) 3)))))
#s(approx (* (log base) (log (sqrt (+ (* im im) (* re re))))) #s(hole binary64 (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))))
#s(approx (pow (log base) 2) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log (/ 1 base)) 4)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (log im) (/ 1 (pow (log base) -1))) #s(hole binary64 (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ 1 (pow (log base) -1)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 base))))))
#s(approx (pow (log base) -1) #s(hole binary64 (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (log base) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 base))))))
#s(approx (/ (* 1/2 (log (+ (* im im) (* re re)))) (log base)) #s(hole binary64 (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base))))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (exp (* (log (log base)) 2))) #s(hole binary64 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) #s(hole binary64 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (* (log im) (log base)) #s(hole binary64 (* (log im) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (exp (* (log (log base)) 2)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (* (log (log base)) 2) #s(hole binary64 (* 2 (log (+ (log -1) (* -1 (log (/ -1 base))))))))
#s(approx (log (log base)) #s(hole binary64 (log (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (log im) (* (pow (pow (log base) -1/2) -1) (pow (pow (log base) -1/2) -1))) #s(hole binary64 (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (* (pow (pow (log base) -1/2) -1) (pow (pow (log base) -1/2) -1)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 base))))))
#s(approx (pow (pow (log base) -1/2) -1) #s(hole binary64 (sqrt (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (pow (log base) -1/2) #s(hole binary64 (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 base))))))))
#s(approx (/ (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) #s(hole binary64 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) #s(hole binary64 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3))))
#s(approx (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) #s(hole binary64 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3))))
#s(approx (* (log base) (log (sqrt (+ (* im im) (* re re))))) #s(hole binary64 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (pow (log base) 2) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)))

Calls

9 calls:

Time	Variable		Point	Expression
93.0ms	base	@	0	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (/ 1 (pow (log base) -1))) (log im) im (/ 1 (pow (log base) -1)) 1 (pow (log base) -1) (log base) base -1 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (* 1/2 (log (+ (* im im) (* re re)))) (log base)) (* 1/2 (log (+ (* im im) (* re re)))) 1/2 (log (+ (* im im) (* re re))) (+ (* im im) (* re re)) (* im im) (* re re) re (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (exp (* (log (log base)) 2))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (* (log im) (log base)) (exp (* (log (log base)) 2)) (* (log (log base)) 2) (log (log base)) 2 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (* (pow (pow (log base) -1/2) -1) (pow (pow (log base) -1/2) -1))) (* (pow (pow (log base) -1/2) -1) (pow (pow (log base) -1/2) -1)) (pow (pow (log base) -1/2) -1) (pow (log base) -1/2) -1/2 (/ (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (pow (log base) 2) (* (pow (log base) 2) 0) 0 (pow (log base) 4) 4)
67.0ms	base	@	inf	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (/ 1 (pow (log base) -1))) (log im) im (/ 1 (pow (log base) -1)) 1 (pow (log base) -1) (log base) base -1 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (* 1/2 (log (+ (* im im) (* re re)))) (log base)) (* 1/2 (log (+ (* im im) (* re re)))) 1/2 (log (+ (* im im) (* re re))) (+ (* im im) (* re re)) (* im im) (* re re) re (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (exp (* (log (log base)) 2))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (* (log im) (log base)) (exp (* (log (log base)) 2)) (* (log (log base)) 2) (log (log base)) 2 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (* (pow (pow (log base) -1/2) -1) (pow (pow (log base) -1/2) -1))) (* (pow (pow (log base) -1/2) -1) (pow (pow (log base) -1/2) -1)) (pow (pow (log base) -1/2) -1) (pow (log base) -1/2) -1/2 (/ (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (pow (log base) 2) (* (pow (log base) 2) 0) 0 (pow (log base) 4) 4)
50.0ms	base	@	-inf	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (/ 1 (pow (log base) -1))) (log im) im (/ 1 (pow (log base) -1)) 1 (pow (log base) -1) (log base) base -1 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (* 1/2 (log (+ (* im im) (* re re)))) (log base)) (* 1/2 (log (+ (* im im) (* re re)))) 1/2 (log (+ (* im im) (* re re))) (+ (* im im) (* re re)) (* im im) (* re re) re (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (exp (* (log (log base)) 2))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (* (log im) (log base)) (exp (* (log (log base)) 2)) (* (log (log base)) 2) (log (log base)) 2 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (* (pow (pow (log base) -1/2) -1) (pow (pow (log base) -1/2) -1))) (* (pow (pow (log base) -1/2) -1) (pow (pow (log base) -1/2) -1)) (pow (pow (log base) -1/2) -1) (pow (log base) -1/2) -1/2 (/ (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (pow (log base) 2) (* (pow (log base) 2) 0) 0 (pow (log base) 4) 4)
41.0ms	im	@	0	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (/ 1 (pow (log base) -1))) (log im) im (/ 1 (pow (log base) -1)) 1 (pow (log base) -1) (log base) base -1 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (* 1/2 (log (+ (* im im) (* re re)))) (log base)) (* 1/2 (log (+ (* im im) (* re re)))) 1/2 (log (+ (* im im) (* re re))) (+ (* im im) (* re re)) (* im im) (* re re) re (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (exp (* (log (log base)) 2))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (* (log im) (log base)) (exp (* (log (log base)) 2)) (* (log (log base)) 2) (log (log base)) 2 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (* (pow (pow (log base) -1/2) -1) (pow (pow (log base) -1/2) -1))) (* (pow (pow (log base) -1/2) -1) (pow (pow (log base) -1/2) -1)) (pow (pow (log base) -1/2) -1) (pow (log base) -1/2) -1/2 (/ (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (pow (log base) 2) (* (pow (log base) 2) 0) 0 (pow (log base) 4) 4)
21.0ms	im	@	inf	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (/ 1 (pow (log base) -1))) (log im) im (/ 1 (pow (log base) -1)) 1 (pow (log base) -1) (log base) base -1 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (* 1/2 (log (+ (* im im) (* re re)))) (log base)) (* 1/2 (log (+ (* im im) (* re re)))) 1/2 (log (+ (* im im) (* re re))) (+ (* im im) (* re re)) (* im im) (* re re) re (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (exp (* (log (log base)) 2))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (* (log im) (log base)) (exp (* (log (log base)) 2)) (* (log (log base)) 2) (log (log base)) 2 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (* (pow (pow (log base) -1/2) -1) (pow (pow (log base) -1/2) -1))) (* (pow (pow (log base) -1/2) -1) (pow (pow (log base) -1/2) -1)) (pow (pow (log base) -1/2) -1) (pow (log base) -1/2) -1/2 (/ (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (pow (log base) 2) (* (pow (log base) 2) 0) 0 (pow (log base) 4) 4)

rewrite223.0ms (4.4%)

Memory

14.2MiB live, 300.6MiB allocated; 42ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1027	15162
0	1081	13417
1	5039	12870
0	8547	12870

Stop Event

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

Counts

415 → 673

Calls

Call 1

Inputs
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))))
(/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64))))
(log.f64 im)
im
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
#s(literal 1 binary64)
(pow.f64 (log.f64 base) #s(literal -1 binary64))
(log.f64 base)
base
#s(literal -1 binary64)
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 im im) (*.f64 re re)))) (log.f64 base)))
(/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 im im) (*.f64 re re)))) (log.f64 base))
(.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 im im) (*.f64 re re))))
#s(literal 1/2 binary64)
(log.f64 (+.f64 (.f64 im im) (.f64 re re)))
(+.f64 (.f64 im im) (.f64 re re))
(*.f64 im im)
(*.f64 re re)
re
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (.f64 (log.f64 im) (log.f64 base))) (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base)))
(*.f64 (log.f64 im) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))
(*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))
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#s(approx (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) #s(hole binary64 (+ (* -1 (* (pow (log base) 3) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 3)) (pow im 4))) (+ (* 1/720 (/ (* (pow (log base) 3) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (pow (log base) 3)) (pow im 2))))))))
#s(approx (* (log base) (log (sqrt (+ (* im im) (* re re))))) #s(hole binary64 (* -1 (* (log base) (log (/ -1 im))))))
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#s(approx (pow (log base) -1) #s(hole binary64 (/ 1 (log base))))
#s(approx (log base) #s(hole binary64 (log base)))
#s(approx base #s(hole binary64 base))
#s(approx (/ (* 1/2 (log (+ (* im im) (* re re)))) (log base)) #s(hole binary64 (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (log base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (exp (* (log (log base)) 2))) #s(hole binary64 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))))
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#s(approx (exp (* (log (log base)) 2)) #s(hole binary64 (pow (log base) 2)))
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#s(approx (log (log base)) #s(hole binary64 (log (log base))))
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#s(approx (pow (pow (log base) -1/2) -1) #s(hole binary64 (sqrt (log base))))
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#s(approx (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) #s(hole binary64 (* (pow (log base) 3) (log (sqrt (+ (pow im 2) (pow re 2)))))))
#s(approx (* (log base) (log (sqrt (+ (* im im) (* re re))))) #s(hole binary64 (* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))))
#s(approx (pow (log base) 2) #s(hole binary64 (pow (log base) 2)))
#s(approx (* (pow (log base) 2) 0) #s(hole binary64 0))
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#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))))
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#s(approx (log base) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (/ (* 1/2 (log (+ (* im im) (* re re)))) (log base)) #s(hole binary64 (* -1/2 (/ (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))))
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#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) #s(hole binary64 (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))))
#s(approx (* (log im) (log base)) #s(hole binary64 (* -1 (* (log im) (log (/ 1 base))))))
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#s(approx (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) #s(hole binary64 (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log (/ 1 base)) 3)))))
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Outputs
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (exp (* (log (log base)) 2))) (/.f64 (log.f64 im) (log.f64 base)))
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(*.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)) #s(literal -1 binary64))
(.f64 (/.f64 (.f64 (log.f64 im) #s(literal 2 binary64)) (log.f64 base)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (log.f64 im) #s(literal 2 binary64)) (log.f64 base)))
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(/.f64 (neg.f64 (log.f64 im)) (neg.f64 (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
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(.f64 (.f64 (log.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (log.f64 im) #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 im)))
(neg.f64 (neg.f64 (log.f64 im)))
(log.f64 im)
im
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(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) #s(literal -2 binary64)))
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(exp.f64 (log.f64 (log.f64 base)))
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(log.f64 base)
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(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64)))
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#s(approx (* (log base) (log (sqrt (+ (* im im) (* re re))))) (+.f64 (.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (.f64 (/.f64 (.f64 (.f64 re re) (log.f64 base)) (*.f64 im im)) #s(literal 1/2 binary64))))
#s(approx (* (log base) (log (sqrt (+ (* im im) (* re re))))) (+.f64 (+.f64 (.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (/.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64)))) #s(literal -1/4 binary64))) (.f64 (/.f64 (.f64 (.f64 re re) (log.f64 base)) (*.f64 im im)) #s(literal 1/2 binary64))))
#s(approx (* (log base) (log (sqrt (+ (* im im) (* re re))))) (+.f64 (+.f64 (.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (/.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64)))) #s(literal -1/4 binary64))) (-.f64 (.f64 (/.f64 (.f64 (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (log.f64 base)) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/720 binary64)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 re re) (log.f64 base)) (.f64 im im))))))
#s(approx (log (sqrt (+ (* im im) (* re re)))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im))))
#s(approx (log (sqrt (+ (* im im) (* re re)))) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (*.f64 im im))))
#s(approx (log (sqrt (+ (* im im) (* re re)))) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 im im)))))
#s(approx (log (sqrt (+ (* im im) (* re re)))) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (+.f64 (/.f64 (.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64))) (pow.f64 im #s(literal 6 binary64))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 im im))) (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 4 binary64))))))
#s(approx (sqrt (+ (* im im) (* re re))) (neg.f64 im))
#s(approx (sqrt (+ (* im im) (* re re))) (.f64 (neg.f64 im) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 im im)) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* im im) (* re re))) (.f64 (neg.f64 im) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (*.f64 im im)))))
#s(approx (sqrt (+ (* im im) (* re re))) (.f64 (neg.f64 im) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 re #s(literal 6 binary64))) (pow.f64 im #s(literal 6 binary64))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 im im))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (exp (* (log (log base)) 2))) (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) (log.f64 base)))
#s(approx (* (pow (pow (log base) -1/2) -1) (pow (pow (log base) -1/2) -1)) (log.f64 base))
#s(approx (pow (log base) -1) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
#s(approx (* (pow (pow (log base) -1/2) -1) (pow (pow (log base) -1/2) -1)) (log.f64 base))
#s(approx base base)
#s(approx (/ (* 1/2 (log (+ (* im im) (* re re)))) (log base)) (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (exp (* (log (log base)) 2))) (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) (log.f64 base)))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (*.f64 re re)))) (log.f64 base)))
#s(approx (exp (* (log (log base)) 2)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (* (log (log base)) 2) (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
#s(approx (log (log base)) (log.f64 (log.f64 base)))
#s(approx (* (pow (pow (log base) -1/2) -1) (pow (pow (log base) -1/2) -1)) (log.f64 base))
#s(approx (pow (pow (log base) -1/2) -1) (sqrt.f64 (log.f64 base)))
#s(approx (pow (log base) -1/2) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
#s(approx (/ (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) (log.f64 base)))
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (*.f64 re re))))))
#s(approx (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (*.f64 re re))))))
#s(approx (* (log base) (log (sqrt (+ (* im im) (* re re))))) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (*.f64 re re)))) (log.f64 base)))
#s(approx (exp (* (log (log base)) 2)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (* (pow (log base) 2) 0) #s(literal 0 binary64))
#s(approx (pow (log base) 4) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (exp (* (log (log base)) 2))) (neg.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) (neg.f64 (log.f64 base)))))
#s(approx (/ (log im) (* (pow (pow (log base) -1/2) -1) (pow (pow (log base) -1/2) -1))) (/.f64 (log.f64 im) (log.f64 base)))
#s(approx (* (pow (pow (log base) -1/2) -1) (pow (pow (log base) -1/2) -1)) (neg.f64 (neg.f64 (log.f64 base))))
#s(approx (pow (log base) -1) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
#s(approx (* (pow (pow (log base) -1/2) -1) (pow (pow (log base) -1/2) -1)) (neg.f64 (neg.f64 (log.f64 base))))
#s(approx (/ (* 1/2 (log (+ (* im im) (* re re)))) (log base)) (.f64 (/.f64 (log.f64 (+.f64 (.f64 im im) (*.f64 re re))) (neg.f64 (log.f64 base))) #s(literal -1/2 binary64)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (exp (* (log (log base)) 2))) (neg.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) (neg.f64 (log.f64 base)))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (neg.f64 (log.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))) (neg.f64 (log.f64 base))))))
#s(approx (* (log im) (log base)) (*.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 im))))
#s(approx (exp (* (log (log base)) 2)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (* (log (log base)) 2) (log.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1 binary64))))
#s(approx (log (log base)) (log.f64 (neg.f64 (neg.f64 (log.f64 base)))))
#s(approx (/ (log im) (* (pow (pow (log base) -1/2) -1) (pow (pow (log base) -1/2) -1))) (/.f64 (log.f64 im) (log.f64 base)))
#s(approx (* (pow (pow (log base) -1/2) -1) (pow (pow (log base) -1/2) -1)) (neg.f64 (neg.f64 (log.f64 base))))
#s(approx (pow (pow (log base) -1/2) -1) (sqrt.f64 (neg.f64 (neg.f64 (log.f64 base)))))
#s(approx (pow (log base) -1/2) (*.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (/ (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) (neg.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) (neg.f64 (log.f64 base)))))
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (neg.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (*.f64 re re)))))))
#s(approx (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (neg.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (*.f64 re re)))))))
#s(approx (* (log base) (log (sqrt (+ (* im im) (* re re))))) (neg.f64 (log.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))) (neg.f64 (log.f64 base))))))
#s(approx (exp (* (log (log base)) 2)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (pow (log base) 4) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (exp (* (log (log base)) 2))) (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) (log.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64)))))
#s(approx (/ (log im) (* (pow (pow (log base) -1/2) -1) (pow (pow (log base) -1/2) -1))) (/.f64 (log.f64 im) (log.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64)))))
#s(approx (* (pow (pow (log base) -1/2) -1) (pow (pow (log base) -1/2) -1)) (log.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64))))
#s(approx (pow (log base) -1) (pow.f64 (log.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
#s(approx (* (pow (pow (log base) -1/2) -1) (pow (pow (log base) -1/2) -1)) (log.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64))))
#s(approx (/ (* 1/2 (log (+ (* im im) (* re re)))) (log base)) (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) (log.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (exp (* (log (log base)) 2))) (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) (log.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64)))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (log.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))) (log.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64))))))
#s(approx (* (log im) (log base)) (.f64 (log.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64))) (log.f64 im)))
#s(approx (exp (* (log (log base)) 2)) (pow.f64 (log.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
#s(approx (* (log (log base)) 2) (.f64 (log.f64 (log.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)))
#s(approx (log (log base)) (log.f64 (log.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64)))))
#s(approx (/ (log im) (* (pow (pow (log base) -1/2) -1) (pow (pow (log base) -1/2) -1))) (/.f64 (log.f64 im) (log.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64)))))
#s(approx (* (pow (pow (log base) -1/2) -1) (pow (pow (log base) -1/2) -1)) (log.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64))))
#s(approx (pow (pow (log base) -1/2) -1) (sqrt.f64 (log.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64)))))
#s(approx (pow (log base) -1/2) (pow.f64 (log.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal -1/2 binary64)))
#s(approx (/ (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) (log.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64)))))
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (.f64 (pow.f64 (log.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))))))
#s(approx (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (.f64 (pow.f64 (log.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))))))
#s(approx (* (log base) (log (sqrt (+ (* im im) (* re re))))) (log.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))) (log.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64))))))
#s(approx (exp (* (log (log base)) 2)) (pow.f64 (log.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
#s(approx (pow (log base) 4) (pow.f64 (log.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64)))

eval74.0ms (1.4%)

Memory: -36.4MiB live, 151.7MiB allocated; 37ms collecting garbage
Compiler: Compiled 28 506 to 2 388 computations (91.6% saved)

prune39.0ms (0.8%)

Memory

6.6MiB live, 100.8MiB allocated; 12ms collecting garbage

Pruning

27 alts after pruning (24 fresh and 3 done)

	Pruned	Kept	Total
New	562	20	582
Fresh	8	4	12
Picked	3	2	5
Done	0	1	1
Total	573	27	600

Accuracy

99.3%

Counts

600 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.8%	(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))))) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))))) #s(literal 0 binary64))))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	98.4%	(/.f64 (+.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (log.f64 #s(approx (sqrt (+ (* im im) (* re re))) im)) (log.f64 base))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	98.5%	(/.f64 (+.f64 (.f64 (.f64 (log.f64 base) (log.f64 #s(approx (sqrt (+ (* im im) (* re re))) im))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 2 binary64)))
	45.2%	(/.f64 (+.f64 (.f64 (.f64 (log.f64 base) (log.f64 #s(approx (sqrt (+ (* im im) (* re re))) im))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))) (exp.f64 (.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 4 binary64))))
▶	50.4%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))) #s(approx ( (pow (log base) 2) 0) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
▶	98.3%	(/.f64 (+.f64 (.f64 (log.f64 base) (.f64 (log.f64 #s(approx (sqrt (+ (* im im) (* re re))) im)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	98.6%	(/.f64 #s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 im))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	98.3%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal -2 binary64)))
	51.5%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 4 binary64)))
	98.6%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
	98.4%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))
	98.5%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (/.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))))
	45.7%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (.f64 (log.f64 im) (log.f64 base))) (exp.f64 (.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))))
✓	50.9%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (.f64 (log.f64 im) (log.f64 base))) (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))))
	51.8%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))))
	14.9%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (+.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (log.f64 (+.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (.f64 re im) #s(literal 2 binary64))))))) (log.f64 base)))
✓	50.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 im im) (*.f64 re re)))) (log.f64 base)))
	51.8%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -2 binary64))))
	51.8%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
	52.7%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
▶	51.8%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))
▶	98.7%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))))
	41.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (+.f64 (cosh.f64 (.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))) (sinh.f64 (.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64)))))))
	51.7%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))))
✓	98.8%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
	51.4%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base)))))
▶	98.7%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (log.f64 im) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal -1 binary64))))

Compiler

Compiled 1 973 to 1 330 computations (32.6% saved)

series191.0ms (3.7%)

Memory

24.5MiB live, 357.5MiB allocated; 66ms collecting garbage

Counts

46 → 376

Calls

Call 1

Inputs
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))))
(/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(log.f64 im)
im
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (log.f64 base))
(log.f64 base)
base
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (log.f64 im) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal -1 binary64))))
(*.f64 (/.f64 (log.f64 im) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(/.f64 (log.f64 im) #s(literal 1 binary64))
(pow.f64 (log.f64 base) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))
(/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (log.f64 base) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 2 binary64)
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))) #s(approx ( (pow (log base) 2) 0) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))) #s(approx ( (pow (log base) 2) 0) #s(literal 0 binary64)))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 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)
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
#s(approx (* (pow (log base) 2) 0) #s(literal 0 binary64))
#s(literal 0 binary64)
(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (+.f64 (.f64 (log.f64 base) (.f64 (log.f64 #s(approx (sqrt (+ (* im im) (* re re))) im)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(+.f64 (.f64 (log.f64 base) (.f64 (log.f64 #s(approx (sqrt (+ (* im im) (* re re))) im)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64)))
(.f64 (log.f64 base) (.f64 (log.f64 #s(approx (sqrt (+ (* im im) (* re re))) im)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 (log.f64 #s(approx (sqrt (+ ( im im) (* re re))) im)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(log.f64 #s(approx (sqrt (+ (* im im) (* re re))) im))
#s(approx (sqrt (+ (* im im) (* re re))) im)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))
(pow.f64 (log.f64 base) #s(literal 4 binary64))
#s(literal 4 binary64)

Outputs
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (log im) (log base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (pow (log base) 2) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (log im) (log base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (pow (log base) 2) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (pow (log base) 2) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (pow (log base) 2) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (pow (log base) 2) 0)) #s(hole binary64 (* (log base) (log im))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (pow (log base) 2) 0)) #s(hole binary64 (+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im)))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (pow (log base) 2) 0)) #s(hole binary64 (+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2))))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (pow (log base) 2) 0)) #s(hole binary64 (+ (* (log base) (log im)) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6))))))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) #s(hole binary64 (* (log base) (log im))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) #s(hole binary64 (+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im)))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) #s(hole binary64 (+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2))))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) #s(hole binary64 (+ (* (log base) (log im)) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6))))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (log im)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (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))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 im))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ im (* 1/2 (/ (pow re 2) im)))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ 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)))))))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (pow im 2)))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (+ (pow im 2) (pow re 2))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx re #s(hole binary64 re))
#s(approx (/ (+ (* (log base) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) (* (pow (log base) 2) 0)) (pow (log base) 4)) #s(hole binary64 (/ (log im) (log base))))
#s(approx (/ (+ (* (log base) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) (* (pow (log base) 2) 0)) (pow (log base) 4)) #s(hole binary64 (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))))
#s(approx (/ (+ (* (log base) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) (* (pow (log base) 2) 0)) (pow (log base) 4)) #s(hole binary64 (+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))))
#s(approx (/ (+ (* (log base) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) (* (pow (log base) 2) 0)) (pow (log base) 4)) #s(hole binary64 (+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))))
#s(approx (+ (* (log base) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) (* (pow (log base) 2) 0)) #s(hole binary64 (* (pow (log base) 3) (log im))))
#s(approx (+ (* (log base) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) (* (pow (log base) 2) 0)) #s(hole binary64 (+ (* 1/2 (/ (* (pow re 2) (pow (log base) 3)) (pow im 2))) (* (pow (log base) 3) (log im)))))
#s(approx (+ (* (log base) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) (* (pow (log base) 2) 0)) #s(hole binary64 (+ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (pow (log base) 3)) (pow im 4))) (* 1/2 (/ (pow (log base) 3) (pow im 2))))) (* (pow (log base) 3) (log im)))))
#s(approx (+ (* (log base) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) (* (pow (log base) 2) 0)) #s(hole binary64 (+ (* (pow re 2) (+ (* 1/2 (/ (pow (log base) 3) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (pow (log base) 3) (pow im 4))) (* 1/6 (/ (* (pow re 2) (pow (log base) 3)) (pow im 6))))))) (* (pow (log base) 3) (log im)))))
#s(approx (* (log base) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) #s(hole binary64 (* (pow (log base) 3) (log im))))
#s(approx (* (log base) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) #s(hole binary64 (+ (* 1/2 (/ (* (pow re 2) (pow (log base) 3)) (pow im 2))) (* (pow (log base) 3) (log im)))))
#s(approx (* (log base) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) #s(hole binary64 (+ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (pow (log base) 3)) (pow im 4))) (* 1/2 (/ (pow (log base) 3) (pow im 2))))) (* (pow (log base) 3) (log im)))))
#s(approx (* (log base) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) #s(hole binary64 (+ (* (pow re 2) (+ (* 1/2 (/ (pow (log base) 3) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (pow (log base) 3) (pow im 4))) (* 1/6 (/ (* (pow re 2) (pow (log base) 3)) (pow im 6))))))) (* (pow (log base) 3) (log im)))))
#s(approx (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2)) #s(hole binary64 (* (pow (log base) 2) (log im))))
#s(approx (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2)) #s(hole binary64 (+ (* 1/2 (/ (* (pow re 2) (pow (log base) 2)) (pow im 2))) (* (pow (log base) 2) (log im)))))
#s(approx (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2)) #s(hole binary64 (+ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (pow (log base) 2)) (pow im 4))) (* 1/2 (/ (pow (log base) 2) (pow im 2))))) (* (pow (log base) 2) (log im)))))
#s(approx (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2)) #s(hole binary64 (+ (* (pow re 2) (+ (* 1/2 (/ (pow (log base) 2) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (pow (log base) 2) (pow im 4))) (* 1/6 (/ (* (pow re 2) (pow (log base) 2)) (pow im 6))))))) (* (pow (log base) 2) (log im)))))
#s(approx (log (sqrt (+ (* im im) (* re re)))) #s(hole binary64 (log im)))
#s(approx (log (sqrt (+ (* im im) (* re re)))) #s(hole binary64 (+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))))
#s(approx (log (sqrt (+ (* im im) (* re re)))) #s(hole binary64 (+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))))
#s(approx (log (sqrt (+ (* im im) (* re re)))) #s(hole binary64 (+ (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))))))))
#s(approx (sqrt (+ (* im im) (* re re))) #s(hole binary64 im))
#s(approx (sqrt (+ (* im im) (* re re))) #s(hole binary64 (+ im (* 1/2 (/ (pow re 2) im)))))
#s(approx (sqrt (+ (* im im) (* re re))) #s(hole binary64 (+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))))
#s(approx (sqrt (+ (* im im) (* re re))) #s(hole binary64 (+ 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)))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (* -1 (/ (log (/ 1 re)) (log base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (pow (log base) 2) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (* -1 (/ (log (/ 1 re)) (log base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (pow (log base) 2) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (pow (log base) 2) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))))
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Calls

9 calls:

Time	Variable		Point	Expression
43.0ms	base	@	inf	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (/ 1 (/ 1 (log base)))) (log im) im (/ 1 (/ 1 (log base))) 1 (/ 1 (log base)) (log base) base (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (/ (log im) 1) (pow (log base) -1)) (/ (log im) 1) (pow (log base) -1) -1 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (/ 1 (pow (pow (log base) -1/2) 2))) (/ 1 (pow (pow (log base) -1/2) 2)) (pow (pow (log base) -1/2) 2) (pow (log base) -1/2) -1/2 2 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (pow (log base) 2) 0)) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (pow (log base) 2) 0)) (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) re (* im im) (/ 1 (pow (log base) -1)) (* (pow (log base) 2) 0) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) (/ (+ (* (log base) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) (* (pow (log base) 2) 0)) (pow (log base) 4)) (+ (* (log base) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) (* (pow (log base) 2) 0)) (* (log base) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (pow (log base) 2) (* (pow (log base) 2) 0) (pow (log base) 4) 4)
40.0ms	base	@	0	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (/ 1 (/ 1 (log base)))) (log im) im (/ 1 (/ 1 (log base))) 1 (/ 1 (log base)) (log base) base (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (/ (log im) 1) (pow (log base) -1)) (/ (log im) 1) (pow (log base) -1) -1 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (/ 1 (pow (pow (log base) -1/2) 2))) (/ 1 (pow (pow (log base) -1/2) 2)) (pow (pow (log base) -1/2) 2) (pow (log base) -1/2) -1/2 2 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (pow (log base) 2) 0)) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (pow (log base) 2) 0)) (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) re (* im im) (/ 1 (pow (log base) -1)) (* (pow (log base) 2) 0) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) (/ (+ (* (log base) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) (* (pow (log base) 2) 0)) (pow (log base) 4)) (+ (* (log base) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) (* (pow (log base) 2) 0)) (* (log base) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (pow (log base) 2) (* (pow (log base) 2) 0) (pow (log base) 4) 4)
35.0ms	base	@	-inf	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (/ 1 (/ 1 (log base)))) (log im) im (/ 1 (/ 1 (log base))) 1 (/ 1 (log base)) (log base) base (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (/ (log im) 1) (pow (log base) -1)) (/ (log im) 1) (pow (log base) -1) -1 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (/ 1 (pow (pow (log base) -1/2) 2))) (/ 1 (pow (pow (log base) -1/2) 2)) (pow (pow (log base) -1/2) 2) (pow (log base) -1/2) -1/2 2 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (pow (log base) 2) 0)) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (pow (log base) 2) 0)) (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) re (* im im) (/ 1 (pow (log base) -1)) (* (pow (log base) 2) 0) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) (/ (+ (* (log base) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) (* (pow (log base) 2) 0)) (pow (log base) 4)) (+ (* (log base) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) (* (pow (log base) 2) 0)) (* (log base) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (pow (log base) 2) (* (pow (log base) 2) 0) (pow (log base) 4) 4)
21.0ms	im	@	-inf	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (/ 1 (/ 1 (log base)))) (log im) im (/ 1 (/ 1 (log base))) 1 (/ 1 (log base)) (log base) base (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (/ (log im) 1) (pow (log base) -1)) (/ (log im) 1) (pow (log base) -1) -1 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (/ 1 (pow (pow (log base) -1/2) 2))) (/ 1 (pow (pow (log base) -1/2) 2)) (pow (pow (log base) -1/2) 2) (pow (log base) -1/2) -1/2 2 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (pow (log base) 2) 0)) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (pow (log base) 2) 0)) (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) re (* im im) (/ 1 (pow (log base) -1)) (* (pow (log base) 2) 0) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) (/ (+ (* (log base) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) (* (pow (log base) 2) 0)) (pow (log base) 4)) (+ (* (log base) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) (* (pow (log base) 2) 0)) (* (log base) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (pow (log base) 2) (* (pow (log base) 2) 0) (pow (log base) 4) 4)
19.0ms	im	@	inf	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (/ 1 (/ 1 (log base)))) (log im) im (/ 1 (/ 1 (log base))) 1 (/ 1 (log base)) (log base) base (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (/ (log im) 1) (pow (log base) -1)) (/ (log im) 1) (pow (log base) -1) -1 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (/ 1 (pow (pow (log base) -1/2) 2))) (/ 1 (pow (pow (log base) -1/2) 2)) (pow (pow (log base) -1/2) 2) (pow (log base) -1/2) -1/2 2 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (pow (log base) 2) 0)) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (pow (log base) 2) 0)) (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) re (* im im) (/ 1 (pow (log base) -1)) (* (pow (log base) 2) 0) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) (/ (+ (* (log base) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) (* (pow (log base) 2) 0)) (pow (log base) 4)) (+ (* (log base) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) (* (pow (log base) 2) 0)) (* (log base) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (pow (log base) 2) (* (pow (log base) 2) 0) (pow (log base) 4) 4)

rewrite242.0ms (4.7%)

Memory

-1.4MiB live, 274.9MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	999	15461
0	1061	13346
1	4727	13018
0	8291	13018

Stop Event

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

Counts

422 → 750

Calls

Call 1

Inputs
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))))
(/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(log.f64 im)
im
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (log.f64 base))
(log.f64 base)
base
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (log.f64 im) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal -1 binary64))))
(*.f64 (/.f64 (log.f64 im) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(/.f64 (log.f64 im) #s(literal 1 binary64))
(pow.f64 (log.f64 base) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))
(/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (log.f64 base) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 2 binary64)
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))) #s(approx ( (pow (log base) 2) 0) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))) #s(approx ( (pow (log base) 2) 0) #s(literal 0 binary64)))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 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)
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
#s(approx (* (pow (log base) 2) 0) #s(literal 0 binary64))
#s(literal 0 binary64)
(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (+.f64 (.f64 (log.f64 base) (.f64 (log.f64 #s(approx (sqrt (+ (* im im) (* re re))) im)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(+.f64 (.f64 (log.f64 base) (.f64 (log.f64 #s(approx (sqrt (+ (* im im) (* re re))) im)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64)))
(.f64 (log.f64 base) (.f64 (log.f64 #s(approx (sqrt (+ (* im im) (* re re))) im)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 (log.f64 #s(approx (sqrt (+ ( im im) (* re re))) im)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(log.f64 #s(approx (sqrt (+ (* im im) (* re re))) im))
#s(approx (sqrt (+ (* im im) (* re re))) im)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))
(pow.f64 (log.f64 base) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (log im) (log base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (pow (log base) 2) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (log im) (log base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (pow (log base) 2) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (pow (log base) 2) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (pow (log base) 2) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (pow (log base) 2) 0)) #s(hole binary64 (* (log base) (log im))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (pow (log base) 2) 0)) #s(hole binary64 (+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im)))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (pow (log base) 2) 0)) #s(hole binary64 (+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2))))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (pow (log base) 2) 0)) #s(hole binary64 (+ (* (log base) (log im)) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6))))))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) #s(hole binary64 (* (log base) (log im))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) #s(hole binary64 (+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im)))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) #s(hole binary64 (+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2))))))))
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#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))))
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#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 im))
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#s(approx (+ (* re re) (* im im)) #s(hole binary64 (pow im 2)))
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#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx re #s(hole binary64 re))
#s(approx (/ (+ (* (log base) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) (* (pow (log base) 2) 0)) (pow (log base) 4)) #s(hole binary64 (/ (log im) (log base))))
#s(approx (/ (+ (* (log base) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) (* (pow (log base) 2) 0)) (pow (log base) 4)) #s(hole binary64 (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))))
#s(approx (/ (+ (* (log base) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) (* (pow (log base) 2) 0)) (pow (log base) 4)) #s(hole binary64 (+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))))
#s(approx (/ (+ (* (log base) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) (* (pow (log base) 2) 0)) (pow (log base) 4)) #s(hole binary64 (+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))))
#s(approx (+ (* (log base) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) (* (pow (log base) 2) 0)) #s(hole binary64 (* (pow (log base) 3) (log im))))
#s(approx (+ (* (log base) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) (* (pow (log base) 2) 0)) #s(hole binary64 (+ (* 1/2 (/ (* (pow re 2) (pow (log base) 3)) (pow im 2))) (* (pow (log base) 3) (log im)))))
#s(approx (+ (* (log base) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) (* (pow (log base) 2) 0)) #s(hole binary64 (+ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (pow (log base) 3)) (pow im 4))) (* 1/2 (/ (pow (log base) 3) (pow im 2))))) (* (pow (log base) 3) (log im)))))
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#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (pow (log base) 2) 0)) #s(hole binary64 (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) #s(hole binary64 (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))))
#s(approx (/ 1 (pow (log base) -1)) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (+ (* (log base) (log base)) (* 0 0)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (/ (+ (* (log base) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) (* (pow (log base) 2) 0)) (pow (log base) 4)) #s(hole binary64 (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))))
#s(approx (+ (* (log base) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) (* (pow (log base) 2) 0)) #s(hole binary64 (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log (/ 1 base)) 3)))))
#s(approx (* (log base) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) #s(hole binary64 (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log (/ 1 base)) 3)))))
#s(approx (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2)) #s(hole binary64 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log (/ 1 base)) 2))))
#s(approx (pow (log base) 2) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log (/ 1 base)) 4)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (log im) (/ 1 (/ 1 (log base)))) #s(hole binary64 (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ 1 (/ 1 (log base))) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 base))))))
#s(approx (/ 1 (log base)) #s(hole binary64 (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (log base) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 base))))))
#s(approx (* (/ (log im) 1) (pow (log base) -1)) #s(hole binary64 (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (pow (log base) -1) #s(hole binary64 (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (log im) (/ 1 (pow (pow (log base) -1/2) 2))) #s(hole binary64 (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ 1 (pow (pow (log base) -1/2) 2)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 base))))))
#s(approx (pow (pow (log base) -1/2) 2) #s(hole binary64 (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (pow (log base) -1/2) #s(hole binary64 (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 base))))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (pow (log base) 2) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (pow (log base) 2) 0)) #s(hole binary64 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) #s(hole binary64 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ 1 (pow (log base) -1)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 base))))))
#s(approx (+ (* (log base) (log base)) (* 0 0)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (/ (+ (* (log base) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) (* (pow (log base) 2) 0)) (pow (log base) 4)) #s(hole binary64 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (+ (* (log base) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) (* (pow (log base) 2) 0)) #s(hole binary64 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3))))
#s(approx (* (log base) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) #s(hole binary64 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3))))
#s(approx (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2)) #s(hole binary64 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))))
#s(approx (pow (log base) 2) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)))

Outputs
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (pow (log base) 2) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)) #s(literal -1 binary64))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 im))
(*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(/.f64 (neg.f64 (log.f64 im)) (neg.f64 (log.f64 base)))
(/.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64))
(/.f64 (log.f64 im) (log.f64 base))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(log.f64 (pow.f64 im (pow.f64 (log.f64 base) #s(literal -1 binary64))))
(*.f64 (neg.f64 (log.f64 im)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 im)))
(/.f64 (neg.f64 (log.f64 im)) #s(literal -1 binary64))
(/.f64 (log.f64 im) #s(literal 1 binary64))
(neg.f64 (neg.f64 (log.f64 im)))
(log.f64 im)
im
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (log.f64 base)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 base)))
(*.f64 #s(literal 1 binary64) (log.f64 base))
(pow.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (log.f64 base) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (log.f64 base)))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) #s(literal 2 binary64))))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) #s(literal 2 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) #s(literal -2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))
(log.f64 (pow.f64 base #s(literal 1 binary64)))
(log.f64 base)
#s(literal 1 binary64)
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 (log.f64 base))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (log.f64 base) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (log.f64 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(exp.f64 (+.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (log.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))) (sinh.f64 (.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (log.f64 base)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 base)))
(*.f64 #s(literal 1 binary64) (log.f64 base))
(pow.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (log.f64 base) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (log.f64 base)))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) #s(literal 2 binary64))))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) #s(literal 2 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) #s(literal -2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))
(log.f64 (pow.f64 base #s(literal 1 binary64)))
(log.f64 base)
base
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (pow (log base) 2) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)) #s(literal -1 binary64))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 im))
(*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(/.f64 (neg.f64 (log.f64 im)) (neg.f64 (log.f64 base)))
(/.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64))
(/.f64 (log.f64 im) (log.f64 base))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(log.f64 (pow.f64 im (pow.f64 (log.f64 base) #s(literal -1 binary64))))
(*.f64 (neg.f64 (log.f64 im)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 im)))
(/.f64 (neg.f64 (log.f64 im)) #s(literal -1 binary64))
(/.f64 (log.f64 im) #s(literal 1 binary64))
(neg.f64 (neg.f64 (log.f64 im)))
(log.f64 im)
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 (log.f64 base))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (log.f64 base) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (log.f64 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(exp.f64 (+.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (log.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))) (sinh.f64 (.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))))
#s(literal -1 binary64)
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (pow (log base) 2) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)) #s(literal -1 binary64))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 im))
(*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(/.f64 (neg.f64 (log.f64 im)) (neg.f64 (log.f64 base)))
(/.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64))
(/.f64 (log.f64 im) (log.f64 base))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(log.f64 (pow.f64 im (pow.f64 (log.f64 base) #s(literal -1 binary64))))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (log.f64 base)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 base)))
(*.f64 #s(literal 1 binary64) (log.f64 base))
(pow.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (log.f64 base) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (log.f64 base)))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) #s(literal 2 binary64))))
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(exp.f64 (neg.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) #s(literal 2 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) #s(literal -2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))
(log.f64 (pow.f64 base #s(literal 1 binary64)))
(log.f64 base)
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 (log.f64 base))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal 1 binary64))
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(/.f64 #s(literal -1 binary64) (neg.f64 (log.f64 base)))
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(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))) (sinh.f64 (.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))))
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#s(approx (* (log base) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) (+.f64 (neg.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (.f64 (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (.f64 re re)) (*.f64 im im)) #s(literal 1/2 binary64))))
#s(approx (* (log base) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) (+.f64 (+.f64 (neg.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 im #s(literal 4 binary64)))) #s(literal -1/4 binary64))) (.f64 (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (.f64 re re)) (*.f64 im im)) #s(literal 1/2 binary64))))
#s(approx (* (log base) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) (+.f64 (+.f64 (neg.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 im #s(literal 4 binary64)))) #s(literal -1/4 binary64))) (-.f64 (.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (/.f64 (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (pow.f64 im #s(literal 6 binary64)))) #s(literal 1/720 binary64)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (.f64 re re)) (.f64 im im))))))
#s(approx (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2)) (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
#s(approx (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2)) (+.f64 (neg.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (.f64 (/.f64 (pow.f64 (.f64 (log.f64 base) re) #s(literal 2 binary64)) (.f64 im im)) #s(literal 1/2 binary64))))
#s(approx (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2)) (+.f64 (+.f64 (neg.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) #s(literal -1/4 binary64))) (.f64 (/.f64 (pow.f64 (.f64 (log.f64 base) re) #s(literal 2 binary64)) (.f64 im im)) #s(literal 1/2 binary64))))
#s(approx (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2)) (+.f64 (+.f64 (neg.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) #s(literal -1/4 binary64))) (-.f64 (.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (pow.f64 im #s(literal 6 binary64)))) #s(literal 1/720 binary64)) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (.f64 (log.f64 base) re) #s(literal 2 binary64)) (*.f64 im im))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (*.f64 im im))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 im im)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (+.f64 (/.f64 (.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64))) (pow.f64 im #s(literal 6 binary64))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 im im))) (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 4 binary64))))))
#s(approx (sqrt (+ (* im im) (* re re))) (neg.f64 im))
#s(approx (sqrt (+ (* im im) (* re re))) (.f64 (neg.f64 im) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 im im)) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* im im) (* re re))) (.f64 (neg.f64 im) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (*.f64 im im)))))
#s(approx (sqrt (+ (* im im) (* re re))) (.f64 (neg.f64 im) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 re #s(literal 6 binary64))) (pow.f64 im #s(literal 6 binary64))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 im im))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (pow (log base) 2) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) (log.f64 base)))
#s(approx (/ 1 (pow (log base) -1)) (log.f64 base))
#s(approx (pow (log base) -1) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
#s(approx (/ 1 (pow (log base) -1)) (log.f64 base))
#s(approx base base)
#s(approx (pow (log base) -1) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
#s(approx (/ 1 (pow (log base) -1)) (log.f64 base))
#s(approx (pow (log base) -1) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
#s(approx (pow (log base) -1/2) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (pow (log base) 2) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) (log.f64 base)))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (pow (log base) 2) 0)) (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (*.f64 re re))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (*.f64 re re))))))
#s(approx (/ 1 (pow (log base) -1)) (log.f64 base))
#s(approx (* (pow (log base) 2) 0) #s(literal 0 binary64))
#s(approx (pow (log base) 2) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (pow (log base) 2) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (/ (+ (* (log base) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) (* (pow (log base) 2) 0)) (pow (log base) 4)) (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) (log.f64 base)))
#s(approx (+ (* (log base) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) (* (pow (log base) 2) 0)) (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (*.f64 re re))))))
#s(approx (* (log base) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (*.f64 re re))))))
#s(approx (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2)) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (*.f64 re re))))))
#s(approx (pow (log base) 2) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (pow (log base) 4) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (pow (log base) 2) 0)) (+ (* (log base) (log base)) (* 0 0))) (neg.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) (neg.f64 (log.f64 base)))))
#s(approx (/ (log im) (/ 1 (pow (pow (log base) -1/2) 2))) (/.f64 (log.f64 im) (log.f64 base)))
#s(approx (/ 1 (pow (log base) -1)) (log.f64 base))
#s(approx (pow (log base) -1) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
#s(approx (/ 1 (pow (log base) -1)) (log.f64 base))
#s(approx (/ (log im) (/ 1 (pow (pow (log base) -1/2) 2))) (/.f64 (log.f64 im) (log.f64 base)))
#s(approx (pow (log base) -1) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
#s(approx (/ (log im) (/ 1 (pow (pow (log base) -1/2) 2))) (/.f64 (log.f64 im) (log.f64 base)))
#s(approx (/ 1 (pow (log base) -1)) (log.f64 base))
#s(approx (pow (log base) -1) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
#s(approx (pow (log base) -1/2) (sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal -1 binary64))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (pow (log base) 2) 0)) (+ (* (log base) (log base)) (* 0 0))) (neg.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) (neg.f64 (log.f64 base)))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (pow (log base) 2) 0)) (neg.f64 (log.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))) (neg.f64 (log.f64 base))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (neg.f64 (log.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))) (neg.f64 (log.f64 base))))))
#s(approx (/ 1 (pow (log base) -1)) (log.f64 base))
#s(approx (pow (log base) 2) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (pow (log base) 2) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (/ (+ (* (log base) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) (* (pow (log base) 2) 0)) (pow (log base) 4)) (neg.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) (neg.f64 (log.f64 base)))))
#s(approx (+ (* (log base) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) (* (pow (log base) 2) 0)) (neg.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (*.f64 re re)))))))
#s(approx (* (log base) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) (neg.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (*.f64 re re)))))))
#s(approx (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2)) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (*.f64 re re))))))
#s(approx (pow (log base) 2) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (pow (log base) 4) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (pow (log base) 2) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) (log.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64)))))
#s(approx (/ (log im) (/ 1 (pow (pow (log base) -1/2) 2))) (/.f64 (log.f64 im) (log.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64)))))
#s(approx (/ 1 (pow (log base) -1)) (log.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64))))
#s(approx (pow (log base) -1) (pow.f64 (log.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
#s(approx (/ 1 (pow (log base) -1)) (log.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64))))
#s(approx (/ (log im) (/ 1 (pow (pow (log base) -1/2) 2))) (/.f64 (log.f64 im) (log.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64)))))
#s(approx (pow (log base) -1) (pow.f64 (log.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
#s(approx (/ (log im) (/ 1 (pow (pow (log base) -1/2) 2))) (/.f64 (log.f64 im) (log.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64)))))
#s(approx (/ 1 (pow (log base) -1)) (log.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64))))
#s(approx (pow (log base) -1) (pow.f64 (log.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
#s(approx (pow (log base) -1/2) (pow.f64 (log.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal -1/2 binary64)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (pow (log base) 2) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) (log.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64)))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (pow (log base) 2) 0)) (log.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))) (log.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (log.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))) (log.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64))))))
#s(approx (/ 1 (pow (log base) -1)) (log.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64))))
#s(approx (pow (log base) 2) (pow.f64 (log.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
#s(approx (pow (log base) 2) (pow.f64 (log.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
#s(approx (/ (+ (* (log base) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) (* (pow (log base) 2) 0)) (pow (log base) 4)) (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) (log.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64)))))
#s(approx (+ (* (log base) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) (* (pow (log base) 2) 0)) (.f64 (pow.f64 (log.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))))))
#s(approx (* (log base) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) (.f64 (pow.f64 (log.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))))))
#s(approx (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2)) (.f64 (pow.f64 (log.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))))))
#s(approx (pow (log base) 2) (pow.f64 (log.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
#s(approx (pow (log base) 4) (pow.f64 (log.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64)))

eval59.0ms (1.2%)

Memory: 31.7MiB live, 129.7MiB allocated; 15ms collecting garbage
Compiler: Compiled 23 530 to 2 106 computations (91% saved)

prune36.0ms (0.7%)

Memory

-14.8MiB live, 77.9MiB allocated; 6ms collecting garbage

Pruning

29 alts after pruning (25 fresh and 4 done)

	Pruned	Kept	Total
New	489	8	497
Fresh	2	17	19
Picked	4	1	5
Done	0	3	3
Total	495	29	524

Accuracy

99.4%

Counts

524 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.4%	(/.f64 (+.f64 (/.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal -1 binary64))) #s(approx ( (pow (log base) 2) 0) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	98.4%	(/.f64 (+.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (log.f64 #s(approx (sqrt (+ (* im im) (* re re))) im)) (log.f64 base))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	98.3%	(/.f64 (+.f64 (.f64 (.f64 (log.f64 #s(approx (sqrt (+ (* im im) (* re re))) im)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base)) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	45.2%	(/.f64 (+.f64 (.f64 (.f64 (log.f64 base) (log.f64 #s(approx (sqrt (+ (* im im) (* re re))) im))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))) (exp.f64 (.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 4 binary64))))
	98.5%	(/.f64 (+.f64 (.f64 (log.f64 base) (.f64 (log.f64 #s(approx (sqrt (+ (* im im) (* re re))) im)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 2 binary64)))
	98.5%	(/.f64 (+.f64 (.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))) #s(approx (* (pow (log base) 2) 0) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	98.6%	(/.f64 #s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 im))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	98.3%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal -2 binary64)))
	51.5%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 4 binary64)))
	98.6%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
	98.4%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))
	98.5%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (/.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))))
	45.7%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (.f64 (log.f64 im) (log.f64 base))) (exp.f64 (.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))))
✓	50.9%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (.f64 (log.f64 im) (log.f64 base))) (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))))
	51.8%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))))
	14.9%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (+.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (log.f64 (+.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (.f64 re im) #s(literal 2 binary64))))))) (log.f64 base)))
✓	50.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 im im) (*.f64 re re)))) (log.f64 base)))
	51.8%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -2 binary64))))
	51.8%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
	52.6%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))))
	52.7%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
	51.7%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) #s(literal 2 binary64)))))
✓	98.7%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))))
	41.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (+.f64 (cosh.f64 (.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))) (sinh.f64 (.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64)))))))
	51.7%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))))
✓	98.8%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
	51.4%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base)))))
	98.7%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 im)))
	98.3%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (log.f64 (pow.f64 im (pow.f64 (log.f64 base) #s(literal -1 binary64)))))

Compiler

Compiled 3 028 to 1 016 computations (66.4% saved)

regimes110.0ms (2.1%)

Memory

-5.7MiB live, 138.2MiB allocated; 14ms collecting garbage

Accuracy

Total -63.2b remaining (-8035.6%)

Threshold costs -63.2b (-8035.6%)

Counts

54 → 1

Calls

Call 1

Inputs
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 im im) (*.f64 re re)))) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 im)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (log.f64 im) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal -1 binary64))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) #s(literal 2 binary64)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (log.f64 (pow.f64 im (pow.f64 (log.f64 base) #s(literal -1 binary64)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -2 binary64))))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 4 binary64)))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (log.f64 im) (log.f64 base))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal -2 binary64)))
(/.f64 #s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 im))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (.f64 (log.f64 im) (log.f64 base))) (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (.f64 (log.f64 im) (log.f64 base))) (exp.f64 (.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 im)) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))) #s(approx (* (pow (log base) 2) 0) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))) #s(approx ( (pow (log base) 2) 0) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (+.f64 (/.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal -1 binary64))) #s(approx ( (pow (log base) 2) 0) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (+.f64 (.f64 (.f64 (log.f64 #s(approx (sqrt (+ (* im im) (* re re))) im)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base)) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (+.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (log.f64 #s(approx (sqrt (+ (* im im) (* re re))) im)) (log.f64 base))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (/.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (pow (log base) -1))) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (log.f64 (pow.f64 base (log.f64 base))))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal -2 binary64)))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64))) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (+.f64 (cosh.f64 (.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))) (sinh.f64 (.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64)))))))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (/.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (+.f64 (.f64 (log.f64 base) (.f64 (log.f64 #s(approx (sqrt (+ (* im im) (* re re))) im)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (+.f64 (.f64 (.f64 (log.f64 base) (log.f64 #s(approx (sqrt (+ (* im im) (* re re))) im))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (+.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (log.f64 (+.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (.f64 re im) #s(literal 2 binary64))))))) (log.f64 base)))
(/.f64 (+.f64 (.f64 (log.f64 base) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (+.f64 (.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (+.f64 (.f64 (log.f64 base) (.f64 (log.f64 #s(approx (sqrt (+ (* im im) (* re re))) im)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (+.f64 (.f64 (.f64 (log.f64 base) (log.f64 #s(approx (sqrt (+ (* im im) (* re re))) im))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (+.f64 (.f64 (.f64 (log.f64 base) (log.f64 #s(approx (sqrt (+ (* im im) (* re re))) im))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))) (exp.f64 (.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 4 binary64))))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (/.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 (exp.f64 (log.f64 (log.f64 base))) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))))) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))))) #s(literal 0 binary64))))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Outputs
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))

Calls

5 calls:

31.0ms	re
26.0ms	base
22.0ms	im
16.0ms	(log.f64 base)
12.0ms	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Results

Accuracy	Segments	Branch
98.8%	1	`(log.f64 base)`
98.8%	1	`(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))`
98.8%	1	`re`
98.8%	1	`im`
98.8%	1	`base`

Compiler

Compiled 33 to 31 computations (6.1% saved)

simplify69.0ms (1.3%)

Memory

-2.2MiB live, 42.4MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	26
1	59	24
2	236	20
3	1862	18
4	6433	18

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))

Outputs
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))

derivations34.0ms (0.7%)

Memory

-22.9MiB live, 31.2MiB allocated; 26ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 34 to 22 computations (35.3% saved)

preprocess34.0ms (0.7%)

Memory: 29.2MiB live, 76.1MiB allocated; 6ms collecting garbage
Compiler: Compiled 328 to 212 computations (35.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze207.0ms (4%)

sample2.0s (39%)

explain289.0ms (5.7%)

preprocess133.0ms (2.6%)

eval0.0ms (0%)

prune1.0ms (0%)

series174.0ms (3.4%)

rewrite180.0ms (3.5%)

eval42.0ms (0.8%)

prune43.0ms (0.8%)

series258.0ms (5%)

rewrite251.0ms (4.9%)

eval92.0ms (1.8%)

prune36.0ms (0.7%)

series307.0ms (6%)

rewrite223.0ms (4.4%)

eval74.0ms (1.4%)

prune39.0ms (0.8%)

series191.0ms (3.7%)

rewrite242.0ms (4.7%)

eval59.0ms (1.2%)

prune36.0ms (0.7%)

regimes110.0ms (2.1%)

simplify69.0ms (1.3%)

derivations34.0ms (0.7%)

preprocess34.0ms (0.7%)

end0.0ms (0%)

Profiling