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

start0.0ms (0%)

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

analyze208.0ms (3.8%)

Memory

-5.6MiB live, 236.4MiB allocated; 67ms 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 (35.8%)

Memory

-2.2MiB live, 2 010.4MiB allocated; 1.1s collecting garbage

Samples

1.5s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-div!: 471.0ms (40.5% of total)

ival-log: 243.0ms (20.9% of total)

ival-hypot: 193.0ms (16.6% of total)

ival-mult!: 115.0ms (9.9% of total)

ival-atan2: 74.0ms (6.4% of total)

ival-add!: 66.0ms (5.7% of total)

adjust: 2.0ms (0.2% of total)

Bogosity

explain365.0ms (6.6%)

Memory

3.8MiB live, 351.7MiB allocated; 90ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
133	-	1	(1.5121019886844688e-170 -1.0421633455882218e-160 2.3164151709748688e-188)	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
0	-	0	-	`(log.f64 base)`
0	-	0	-	`(*.f64 re re)`
0	-	0	-	`(atan2.f64 im re)`
0	-	0	-	`im`
0	-	0	-	`(+.f64 (.f64 re re) (.f64 im im))`
0	-	0	-	`re`
0	-	0	-	`(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))`
0	-	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	-	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	-	0	-	`#s(literal 0 binary64)`
0	-	0	-	`(*.f64 (atan2.f64 im re) #s(literal 0 binary64))`
0	-	0	-	`(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))`
0	-	0	-	`(*.f64 (log.f64 base) (log.f64 base))`
0	-	0	-	`(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))`
0	-	0	-	`(*.f64 im im)`
0	-	0	-	`base`
0	-	0	-	`(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`	oflow-rescue	122	0
↳	`(+.f64 (.f64 re re) (.f64 im im))`	overflow	122
↳	`(*.f64 re re)`	overflow	71
↳	`(*.f64 im im)`	overflow	71
`sqrt.f64`	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`	uflow-rescue	10	0
↳	`(+.f64 (.f64 re re) (.f64 im im))`	underflow	10
↳	`(*.f64 re re)`	underflow	50
↳	`(*.f64 im im)`	underflow	57

Confusion

	Predicted +	Predicted -
+	132	1
-	0	123

Precision

1.0

Recall

0.9924812030075187

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	132	0	1
-	0	0	123

Precision?

1.0

Recall?

0.9924812030075187

Freqs

test

number	freq
0	124
1	132

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

94.0ms

512×

valid

Compiler

Compiled 270 to 58 computations (78.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-mult!: 42.0ms (58.2% of total)

ival-log: 11.0ms (15.2% of total)

ival-hypot: 9.0ms (12.5% of total)

ival-atan2: 4.0ms (5.5% of total)

ival-add!: 3.0ms (4.2% of total)

ival-div!: 2.0ms (2.8% of total)

adjust: 0.0ms (0% of total)

preprocess147.0ms (2.7%)

Memory

-8.4MiB live, 177.6MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (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	7

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 (hypot.f64 im 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

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.5%	(/.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

▶

49.5%

(/.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)

series122.0ms (2.2%)

Memory

16.3MiB live, 247.5MiB allocated; 25ms 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
61.0ms	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))
22.0ms	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))
17.0ms	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))
5.0ms	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))
4.0ms	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))

rewrite256.0ms (4.6%)

Memory

10.5MiB live, 363.1MiB allocated; 115ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	541	5513
0	566	4927
1	2887	4895
0	8237	3971

Stop Event

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

Counts

166 → 383

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

eval63.0ms (1.2%)

Memory: 30.2MiB live, 78.1MiB allocated; 38ms collecting garbage
Compiler: Compiled 12 863 to 1 735 computations (86.5% saved)

prune18.0ms (0.3%)

Memory

-10.6MiB live, 36.8MiB allocated; 5ms collecting garbage

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	345	13	358
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	346	13	359

Accuracy

99.8%

Counts

359 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(/.f64 (fma.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im 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)))
	99.1%	(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 0 binary64))))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	49.5%	(/.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))))
	49.5%	(/.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))))
	49.4%	(/.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))))))
	49.5%	(/.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))))
	24.6%	(/.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))) (+.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))))
▶	24.1%	(/.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))) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))))
	24.4%	(/.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))) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))))
▶	24.7%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (exp.f64 (.f64 (log.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))))
	99.0%	(/.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))))
▶	99.4%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
▶	99.2%	#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 840 to 558 computations (33.6% saved)

series328.0ms (6%)

Memory

3.8MiB live, 411.4MiB allocated; 59ms collecting garbage

Counts

44 → 446

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 (hypot.f64 im re)) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(log.f64 (hypot.f64 im re))
(hypot.f64 im re)
im
re
(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 im) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(log.f64 im)
(/.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 (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)
(*.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 (neg.f64 (log.f64 base))) #s(literal 2 binary64)))
(*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))
(log.f64 (neg.f64 (log.f64 base)))
(neg.f64 (log.f64 base))
#s(literal 2 binary64)
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (exp.f64 (.f64 (log.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)))) (exp.f64 (.f64 (log.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)))) (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))
(*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))
(log.f64 (log.f64 base))
#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 (fma.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im 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)))
(fma.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im 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 (log.f64 base) (log.f64 (hypot.f64 im 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 re #s(hole binary64 re))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (exp (* (log (neg (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 (neg (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 (neg (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 (neg (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))))))))
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Calls

9 calls:

Time	Variable		Point	Expression
100.0ms	base	@	inf	((/ (+ (* (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 re (log base) base (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (log base)) (log im) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (exp (* (log (neg (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)) (* re re) (* im im) (* (atan2 im re) 0) (atan2 im re) 0 (exp (* (log (neg (log base))) 2)) (* (log (neg (log base))) 2) (log (neg (log base))) (neg (log base)) 2 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (exp (* (log (log base)) 1))) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (exp (* (log (log base)) 1))) (* (atan2 im re) 0)) (* (log (sqrt (+ (* re re) (* im im)))) (exp (* (log (log base)) 1))) (exp (* (log (log base)) 1)) (* (log (log base)) 1) (log (log base)) 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) (* (pow (log base) 2) 0) (pow (log base) 4) 4)
64.0ms	base	@	-inf	((/ (+ (* (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 re (log base) base (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (log base)) (log im) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (exp (* (log (neg (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)) (* re re) (* im im) (* (atan2 im re) 0) (atan2 im re) 0 (exp (* (log (neg (log base))) 2)) (* (log (neg (log base))) 2) (log (neg (log base))) (neg (log base)) 2 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (exp (* (log (log base)) 1))) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (exp (* (log (log base)) 1))) (* (atan2 im re) 0)) (* (log (sqrt (+ (* re re) (* im im)))) (exp (* (log (log base)) 1))) (exp (* (log (log base)) 1)) (* (log (log base)) 1) (log (log base)) 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) (* (pow (log base) 2) 0) (pow (log base) 4) 4)
62.0ms	base	@	0	((/ (+ (* (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 re (log base) base (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (log base)) (log im) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (exp (* (log (neg (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)) (* re re) (* im im) (* (atan2 im re) 0) (atan2 im re) 0 (exp (* (log (neg (log base))) 2)) (* (log (neg (log base))) 2) (log (neg (log base))) (neg (log base)) 2 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (exp (* (log (log base)) 1))) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (exp (* (log (log base)) 1))) (* (atan2 im re) 0)) (* (log (sqrt (+ (* re re) (* im im)))) (exp (* (log (log base)) 1))) (exp (* (log (log base)) 1)) (* (log (log base)) 1) (log (log base)) 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) (* (pow (log base) 2) 0) (pow (log base) 4) 4)
36.0ms	im	@	0	((/ (+ (* (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 re (log base) base (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (log base)) (log im) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (exp (* (log (neg (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)) (* re re) (* im im) (* (atan2 im re) 0) (atan2 im re) 0 (exp (* (log (neg (log base))) 2)) (* (log (neg (log base))) 2) (log (neg (log base))) (neg (log base)) 2 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (exp (* (log (log base)) 1))) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (exp (* (log (log base)) 1))) (* (atan2 im re) 0)) (* (log (sqrt (+ (* re re) (* im im)))) (exp (* (log (log base)) 1))) (exp (* (log (log base)) 1)) (* (log (log base)) 1) (log (log base)) 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) (* (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 (sqrt (+ (* im im) (* re re)))) (log base)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) im re (log base) base (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (log base)) (log im) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (exp (* (log (neg (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)) (* re re) (* im im) (* (atan2 im re) 0) (atan2 im re) 0 (exp (* (log (neg (log base))) 2)) (* (log (neg (log base))) 2) (log (neg (log base))) (neg (log base)) 2 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (exp (* (log (log base)) 1))) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (exp (* (log (log base)) 1))) (* (atan2 im re) 0)) (* (log (sqrt (+ (* re re) (* im im)))) (exp (* (log (log base)) 1))) (exp (* (log (log base)) 1)) (* (log (log base)) 1) (log (log base)) 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) (* (pow (log base) 2) 0) (pow (log base) 4) 4)

rewrite322.0ms (5.8%)

Memory

-10.1MiB live, 295.8MiB allocated; 211ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	988	17629
0	1060	13779
1	4128	13585
0	8740	12913

Stop Event

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

Counts

490 → 945

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 (hypot.f64 im re)) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(log.f64 (hypot.f64 im re))
(hypot.f64 im re)
im
re
(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 im) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(log.f64 im)
(/.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 (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)
(*.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 (neg.f64 (log.f64 base))) #s(literal 2 binary64)))
(*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))
(log.f64 (neg.f64 (log.f64 base)))
(neg.f64 (log.f64 base))
#s(literal 2 binary64)
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (exp.f64 (.f64 (log.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)))) (exp.f64 (.f64 (log.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)))) (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))
(*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))
(log.f64 (log.f64 base))
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(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (log.f64 base) (log.f64 base))
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#s(approx (* re re) #s(hole binary64 (pow re 2)))
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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 (hypot.f64 im re)) (log.f64 base)))
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(.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re))))
(log.f64 (hypot.f64 im re))
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(pow.f64 (fma.f64 im im (*.f64 re re)) #s(literal 1/2 binary64))
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(/.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))))
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(sqrt.f64 (fma.f64 im im (*.f64 re re)))
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(hypot.f64 (neg.f64 (neg.f64 im)) (neg.f64 (fabs.f64 re)))
(hypot.f64 (neg.f64 (neg.f64 im)) (fabs.f64 (fabs.f64 re)))
(hypot.f64 (neg.f64 (neg.f64 im)) (neg.f64 re))
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(hypot.f64 (neg.f64 (neg.f64 im)) re)
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(hypot.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 re)))
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#s(approx (* (log base) (log (sqrt (+ (* im im) (* re re))))) (fma.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 #s(literal -1 binary64) im)) (fma.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) (fma.f64 (.f64 (log.f64 base) (/.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 (/.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))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) (neg.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (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)) (fma.f64 (/.f64 (.f64 re re) (.f64 (*.f64 im im) (log.f64 base))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (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)) (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base)) #s(literal -1 binary64) (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base))) #s(literal -1/4 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 (*.f64 im im) (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)) (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base)) #s(literal -1 binary64) (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 base))) #s(literal 1/720 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 (*.f64 im im) (log.f64 base)))))))
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
#s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (fma.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)) (* (pow (log base) 2) 0)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (pow.f64 (log.f64 base) #s(literal 3 binary64)) (fma.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)) (* (pow (log base) 2) 0)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (pow.f64 (log.f64 base) #s(literal 3 binary64)) (fma.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) (fma.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 (/.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))))) (*.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
#s(approx (* (log base) (log (sqrt (+ (* im im) (* re re))))) (fma.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))))) (fma.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 #s(literal -1 binary64) im)) (fma.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))))) (fma.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 #s(literal -1 binary64) im)) (fma.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) (fma.f64 (.f64 (log.f64 base) (/.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 (/.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))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
#s(approx (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
#s(approx (exp (* (log (log base)) 1)) (log.f64 base))
#s(approx 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 (hypot.f64 im re)) (log.f64 base)))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (exp (* (log (log base)) 1))) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))))
#s(approx (* (log base) (log (sqrt (+ (* im im) (* re re))))) (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))))
#s(approx (pow (log base) 2) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (* (log (neg (log base))) 2) (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
#s(approx (log (neg (log base))) (log.f64 (neg.f64 (log.f64 base))))
#s(approx (neg (log base)) (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)) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (exp (* (log (log base)) 1))) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))))
#s(approx (* (log base) (log (sqrt (+ (* im im) (* re re))))) (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))))
#s(approx (exp (* (log (log base)) 1)) (log.f64 base))
#s(approx (* (log (log base)) 1) (log.f64 (log.f64 base)))
#s(approx (* (log (log base)) 1) (log.f64 (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)) (/.f64 (log.f64 (hypot.f64 im 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 (hypot.f64 im re))))
#s(approx (* (log base) (log (sqrt (+ (* im im) (* re re))))) (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))))
#s(approx (pow (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 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 (hypot.f64 im re)) (neg.f64 (log.f64 base)))))
#s(approx (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (neg.f64 (/.f64 (log.f64 (hypot.f64 im re)) (neg.f64 (log.f64 base)))))
#s(approx (exp (* (log (log base)) 1)) (neg.f64 (neg.f64 (log.f64 base))))
#s(approx (/ (log im) (log base)) (/.f64 (log.f64 im) (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 (hypot.f64 im re)) (neg.f64 (log.f64 base)))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (exp (* (log (log base)) 1))) (* (atan2 im re) 0)) (neg.f64 (*.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 im re)))))
#s(approx (* (log base) (log (sqrt (+ (* im im) (* re re))))) (neg.f64 (*.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 im re)))))
#s(approx (pow (log base) 2) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (* (log (neg (log base))) 2) (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
#s(approx (log (neg (log base))) (log.f64 (neg.f64 (log.f64 base))))
#s(approx (neg (log base)) (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 (hypot.f64 im re)) (neg.f64 (log.f64 base)))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (exp (* (log (log base)) 1))) (* (atan2 im re) 0)) (neg.f64 (*.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 im re)))))
#s(approx (* (log base) (log (sqrt (+ (* im im) (* re re))))) (neg.f64 (*.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 im re)))))
#s(approx (exp (* (log (log base)) 1)) (neg.f64 (neg.f64 (log.f64 base))))
#s(approx (* (log (log base)) 1) (log.f64 (neg.f64 (neg.f64 (log.f64 base)))))
#s(approx (* (log (log base)) 1) (log.f64 (neg.f64 (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) 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 (hypot.f64 im 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 (hypot.f64 im re)))))
#s(approx (* (log base) (log (sqrt (+ (* im im) (* re re))))) (neg.f64 (*.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 im 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 base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) (/.f64 (log.f64 (hypot.f64 im re)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))
#s(approx (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (/.f64 (log.f64 (hypot.f64 im re)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))
#s(approx (exp (* (log (log base)) 1)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))
#s(approx (/ (log im) (log base)) (/.f64 (log.f64 im) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.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)) (/.f64 (log.f64 (hypot.f64 im re)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (exp (* (log (log base)) 1))) (* (atan2 im re) 0)) (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (hypot.f64 im re))))
#s(approx (* (log base) (log (sqrt (+ (* im im) (* re re))))) (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (hypot.f64 im re))))
#s(approx (pow (log base) 2) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)))
#s(approx (* (log (neg (log base))) 2) (log.f64 (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64))))
#s(approx (log (neg (log base))) (log.f64 (neg.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))))
#s(approx (neg (log base)) (neg.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.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)) (/.f64 (log.f64 (hypot.f64 im re)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (exp (* (log (log base)) 1))) (* (atan2 im re) 0)) (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (hypot.f64 im re))))
#s(approx (* (log base) (log (sqrt (+ (* im im) (* re re))))) (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (hypot.f64 im re))))
#s(approx (exp (* (log (log base)) 1)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))
#s(approx (* (log (log base)) 1) (log.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))
#s(approx (* (log (log base)) 1) (log.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))
#s(approx (pow (log base) 2) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)))
#s(approx (pow (log base) 2) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #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 (hypot.f64 im re)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #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 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 3 binary64)) (log.f64 (hypot.f64 im re))))
#s(approx (* (log base) (log (sqrt (+ (* im im) (* re re))))) (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (hypot.f64 im re))))
#s(approx (pow (log base) 2) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)))
#s(approx (pow (log base) 4) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 4 binary64)))

eval93.0ms (1.7%)

Memory: -5.1MiB live, 177.7MiB allocated; 29ms collecting garbage
Compiler: Compiled 29 828 to 2 886 computations (90.3% saved)

prune36.0ms (0.6%)

Memory

43.0MiB live, 89.7MiB allocated; 2ms collecting garbage

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	779	14	793
Fresh	4	4	8
Picked	3	2	5
Done	0	0	0
Total	786	20	806

Accuracy

100.0%

Counts

806 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(/.f64 (fma.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	99.0%	(/.f64 (fma.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (hypot.f64 im 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))))
▶	99.0%	(/.f64 (fma.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im 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 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 2 binary64)))
	99.1%	(/.f64 (fma.f64 (log.f64 base) (*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	99.1%	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) #s(literal 0 binary64)) (-.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (hypot.f64 im re))) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	99.0%	(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (hypot.f64 im re))) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (hypot.f64 im re))) #s(literal 0 binary64))))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	99.1%	(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 0 binary64))))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	49.5%	(/.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))))
	49.4%	(/.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))))
	24.4%	(/.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))) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))))
	24.7%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (exp.f64 (.f64 (log.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))))
▶	99.0%	(/.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)))
	99.0%	(/.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))))
	45.9%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (exp (* (log (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))))
▶	49.6%	#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 (fma.f64 im im (.f64 re re)))) (log.f64 base)))
✓	99.4%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
	99.1%	#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)))))
▶	51.6%	#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 (cosh.f64 (log.f64 (log.f64 base))) (sinh.f64 (log.f64 (log.f64 base))))))
✓	99.2%	#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)))
	51.6%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base)))))

Compiler

Compiled 1 260 to 815 computations (35.3% saved)

series276.0ms (5%)

Memory

-28.8MiB live, 451.6MiB allocated; 61ms collecting garbage

Counts

37 → 360

Calls

Call 1

Inputs
(/.f64 (fma.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 0 binary64))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(log.f64 base)
base
#s(literal 2 binary64)
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(log.f64 (hypot.f64 im re))
(hypot.f64 im re)
im
re
#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))) (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base)))
(/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base))
(.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re))))
#s(literal 1/2 binary64)
(log.f64 (fma.f64 im im (*.f64 re re)))
(fma.f64 im im (*.f64 re re))
(*.f64 re re)
(/.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)))
#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)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 im))
(pow.f64 (log.f64 base) #s(literal 3 binary64))
#s(literal 3 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 (log.f64 im) (+.f64 (cosh.f64 (log.f64 (log.f64 base))) (sinh.f64 (log.f64 (log.f64 base))))))
(/.f64 (log.f64 im) (+.f64 (cosh.f64 (log.f64 (log.f64 base))) (sinh.f64 (log.f64 (log.f64 base)))))
(+.f64 (cosh.f64 (log.f64 (log.f64 base))) (sinh.f64 (log.f64 (log.f64 base))))
(cosh.f64 (log.f64 (log.f64 base)))
(log.f64 (log.f64 base))
(sinh.f64 (log.f64 (log.f64 base)))
(/.f64 (fma.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im 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 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im 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 (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))

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

9 calls:

Time	Variable		Point	Expression
59.0ms	base	@	0	((/ (+ (* (pow (log base) 2) (* (log base) (log (sqrt (+ (* im im) (* re re)))))) 0) (pow (log base) 4)) (+ (* (pow (log base) 2) (* (log base) (log (sqrt (+ (* im im) (* re re)))))) 0) (pow (log base) 2) (log base) base 2 (* (log base) (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) im re 0 (pow (log base) 4) 4 (/ (+ (* (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)) (* re re) (/ (+ (* (* (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)) (* (pow (log base) 3) (log im)) (pow (log base) 3) 3 (log im) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (+ (cosh (log (log base))) (sinh (log (log base))))) (+ (cosh (log (log base))) (sinh (log (log base)))) (cosh (log (log base))) (log (log base)) (sinh (log (log base))) (/ (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (pow (log base) 2) 2)) (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (* (pow (log base) 2) 0) (pow (pow (log base) 2) 2))
57.0ms	base	@	inf	((/ (+ (* (pow (log base) 2) (* (log base) (log (sqrt (+ (* im im) (* re re)))))) 0) (pow (log base) 4)) (+ (* (pow (log base) 2) (* (log base) (log (sqrt (+ (* im im) (* re re)))))) 0) (pow (log base) 2) (log base) base 2 (* (log base) (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) im re 0 (pow (log base) 4) 4 (/ (+ (* (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)) (* re re) (/ (+ (* (* (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)) (* (pow (log base) 3) (log im)) (pow (log base) 3) 3 (log im) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (+ (cosh (log (log base))) (sinh (log (log base))))) (+ (cosh (log (log base))) (sinh (log (log base)))) (cosh (log (log base))) (log (log base)) (sinh (log (log base))) (/ (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (pow (log base) 2) 2)) (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (* (pow (log base) 2) 0) (pow (pow (log base) 2) 2))
43.0ms	base	@	-inf	((/ (+ (* (pow (log base) 2) (* (log base) (log (sqrt (+ (* im im) (* re re)))))) 0) (pow (log base) 4)) (+ (* (pow (log base) 2) (* (log base) (log (sqrt (+ (* im im) (* re re)))))) 0) (pow (log base) 2) (log base) base 2 (* (log base) (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) im re 0 (pow (log base) 4) 4 (/ (+ (* (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)) (* re re) (/ (+ (* (* (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)) (* (pow (log base) 3) (log im)) (pow (log base) 3) 3 (log im) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (+ (cosh (log (log base))) (sinh (log (log base))))) (+ (cosh (log (log base))) (sinh (log (log base)))) (cosh (log (log base))) (log (log base)) (sinh (log (log base))) (/ (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (pow (log base) 2) 2)) (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (* (pow (log base) 2) 0) (pow (pow (log base) 2) 2))
35.0ms	im	@	inf	((/ (+ (* (pow (log base) 2) (* (log base) (log (sqrt (+ (* im im) (* re re)))))) 0) (pow (log base) 4)) (+ (* (pow (log base) 2) (* (log base) (log (sqrt (+ (* im im) (* re re)))))) 0) (pow (log base) 2) (log base) base 2 (* (log base) (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) im re 0 (pow (log base) 4) 4 (/ (+ (* (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)) (* re re) (/ (+ (* (* (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)) (* (pow (log base) 3) (log im)) (pow (log base) 3) 3 (log im) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (+ (cosh (log (log base))) (sinh (log (log base))))) (+ (cosh (log (log base))) (sinh (log (log base)))) (cosh (log (log base))) (log (log base)) (sinh (log (log base))) (/ (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (pow (log base) 2) 2)) (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (* (pow (log base) 2) 0) (pow (pow (log base) 2) 2))
33.0ms	im	@	-inf	((/ (+ (* (pow (log base) 2) (* (log base) (log (sqrt (+ (* im im) (* re re)))))) 0) (pow (log base) 4)) (+ (* (pow (log base) 2) (* (log base) (log (sqrt (+ (* im im) (* re re)))))) 0) (pow (log base) 2) (log base) base 2 (* (log base) (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) im re 0 (pow (log base) 4) 4 (/ (+ (* (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)) (* re re) (/ (+ (* (* (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)) (* (pow (log base) 3) (log im)) (pow (log base) 3) 3 (log im) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (+ (cosh (log (log base))) (sinh (log (log base))))) (+ (cosh (log (log base))) (sinh (log (log base)))) (cosh (log (log base))) (log (log base)) (sinh (log (log base))) (/ (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (pow (log base) 2) 2)) (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (* (pow (log base) 2) 0) (pow (pow (log base) 2) 2))

rewrite286.0ms (5.2%)

Memory

1.6MiB live, 232.3MiB allocated; 47ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1014	14012
0	1072	11464
1	5080	11278
0	8536	10877

Stop Event

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

Counts

397 → 602

Calls

Call 1

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

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

eval103.0ms (1.9%)

Memory: 8.0MiB live, 236.9MiB allocated; 49ms collecting garbage
Compiler: Compiled 31 973 to 2 660 computations (91.7% saved)

prune33.0ms (0.6%)

Memory

-0.4MiB live, 93.0MiB allocated; 3ms collecting garbage

Pruning

25 alts after pruning (21 fresh and 4 done)

	Pruned	Kept	Total
New	788	12	800
Fresh	4	9	13
Picked	3	2	5
Done	0	2	2
Total	795	25	820

Accuracy

100.0%

Counts

820 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.0%	(/.f64 (fma.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (log.f64 base) (log.f64 #s(approx (sqrt (+ ( im im) (* re re))) im))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	99.1%	(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	99.0%	(/.f64 (fma.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (hypot.f64 im 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))))
	98.7%	(/.f64 (fma.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im 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 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 2 binary64)))
	98.8%	(/.f64 (fma.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (/.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 (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)))
	99.1%	(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 0 binary64))))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
▶	49.5%	(/.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))))
	49.4%	(/.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))))
	24.7%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (exp.f64 (.f64 (log.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))))
▶	99.1%	(/.f64 (.f64 (log.f64 base) (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	52.9%	(/.f64 #s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (log.f64 im))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
▶	52.0%	(/.f64 #s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) #s(literal 2 binary64)) (log.f64 im))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	98.7%	(/.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 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 2 binary64)))
✓	99.0%	(/.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)))
▶	45.4%	(/.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))) (exp.f64 (.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 4 binary64))))
	50.5%	(/.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))) (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 4 binary64))))
	99.0%	(/.f64 #s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 base)) (log.f64 im))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	50.6%	(/.f64 #s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (.f64 (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 3 binary64))) (log.f64 im))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	99.0%	(/.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))))
	45.9%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (exp (* (log (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))))
✓	49.6%	#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 (fma.f64 im im (.f64 re re)))) (log.f64 base)))
✓	99.4%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
▶	99.1%	#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)))))
✓	99.2%	#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)))
	51.6%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base)))))

Compiler

Compiled 1 576 to 1 060 computations (32.7% saved)

series263.0ms (4.8%)

Memory

11.4MiB live, 353.7MiB allocated; 48ms collecting garbage

Counts

49 → 391

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
96.0ms	base	@	-inf	((/ (* (log base) (* (log (sqrt (+ (* re re) (* im im)))) (pow (log base) 2))) (pow (log base) 4)) (* (log base) (* (log (sqrt (+ (* re re) (* im im)))) (pow (log base) 2))) (log base) base (* (log (sqrt (+ (* re re) (* im im)))) (pow (log base) 2)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) re im (pow (log base) 2) 2 (pow (log base) 4) 4 (/ (+ (* (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 (pow (log base) -1) -1 (/ (+ (* (* (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)) (* (pow (pow (log base) 3/2) 2) (log im)) (pow (pow (log base) 3/2) 2) (pow (log base) 3/2) 3/2 (/ (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (exp (* (log (neg (log base))) 4))) (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (* (pow (log base) 3) (log im)) (pow (log base) 3) 3 (exp (* (log (neg (log base))) 4)) (* (log (neg (log base))) 4) (log (neg (log base))) (neg (log base)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (- (pow (log base) 4) 0) (- (pow (log base) 2) 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) (* im im) (* (atan2 im re) 0) (atan2 im re) 0 (/ (- (pow (log base) 4) 0) (- (pow (log base) 2) 0)) (- (pow (log base) 4) 0) (- (pow (log base) 2) 0))
52.0ms	base	@	inf	((/ (* (log base) (* (log (sqrt (+ (* re re) (* im im)))) (pow (log base) 2))) (pow (log base) 4)) (* (log base) (* (log (sqrt (+ (* re re) (* im im)))) (pow (log base) 2))) (log base) base (* (log (sqrt (+ (* re re) (* im im)))) (pow (log base) 2)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) re im (pow (log base) 2) 2 (pow (log base) 4) 4 (/ (+ (* (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 (pow (log base) -1) -1 (/ (+ (* (* (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)) (* (pow (pow (log base) 3/2) 2) (log im)) (pow (pow (log base) 3/2) 2) (pow (log base) 3/2) 3/2 (/ (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (exp (* (log (neg (log base))) 4))) (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (* (pow (log base) 3) (log im)) (pow (log base) 3) 3 (exp (* (log (neg (log base))) 4)) (* (log (neg (log base))) 4) (log (neg (log base))) (neg (log base)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (- (pow (log base) 4) 0) (- (pow (log base) 2) 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) (* im im) (* (atan2 im re) 0) (atan2 im re) 0 (/ (- (pow (log base) 4) 0) (- (pow (log base) 2) 0)) (- (pow (log base) 4) 0) (- (pow (log base) 2) 0))
38.0ms	base	@	0	((/ (* (log base) (* (log (sqrt (+ (* re re) (* im im)))) (pow (log base) 2))) (pow (log base) 4)) (* (log base) (* (log (sqrt (+ (* re re) (* im im)))) (pow (log base) 2))) (log base) base (* (log (sqrt (+ (* re re) (* im im)))) (pow (log base) 2)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) re im (pow (log base) 2) 2 (pow (log base) 4) 4 (/ (+ (* (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 (pow (log base) -1) -1 (/ (+ (* (* (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)) (* (pow (pow (log base) 3/2) 2) (log im)) (pow (pow (log base) 3/2) 2) (pow (log base) 3/2) 3/2 (/ (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (exp (* (log (neg (log base))) 4))) (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (* (pow (log base) 3) (log im)) (pow (log base) 3) 3 (exp (* (log (neg (log base))) 4)) (* (log (neg (log base))) 4) (log (neg (log base))) (neg (log base)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (- (pow (log base) 4) 0) (- (pow (log base) 2) 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) (* im im) (* (atan2 im re) 0) (atan2 im re) 0 (/ (- (pow (log base) 4) 0) (- (pow (log base) 2) 0)) (- (pow (log base) 4) 0) (- (pow (log base) 2) 0))
23.0ms	im	@	0	((/ (* (log base) (* (log (sqrt (+ (* re re) (* im im)))) (pow (log base) 2))) (pow (log base) 4)) (* (log base) (* (log (sqrt (+ (* re re) (* im im)))) (pow (log base) 2))) (log base) base (* (log (sqrt (+ (* re re) (* im im)))) (pow (log base) 2)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) re im (pow (log base) 2) 2 (pow (log base) 4) 4 (/ (+ (* (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 (pow (log base) -1) -1 (/ (+ (* (* (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)) (* (pow (pow (log base) 3/2) 2) (log im)) (pow (pow (log base) 3/2) 2) (pow (log base) 3/2) 3/2 (/ (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (exp (* (log (neg (log base))) 4))) (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (* (pow (log base) 3) (log im)) (pow (log base) 3) 3 (exp (* (log (neg (log base))) 4)) (* (log (neg (log base))) 4) (log (neg (log base))) (neg (log base)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (- (pow (log base) 4) 0) (- (pow (log base) 2) 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) (* im im) (* (atan2 im re) 0) (atan2 im re) 0 (/ (- (pow (log base) 4) 0) (- (pow (log base) 2) 0)) (- (pow (log base) 4) 0) (- (pow (log base) 2) 0))
20.0ms	im	@	inf	((/ (* (log base) (* (log (sqrt (+ (* re re) (* im im)))) (pow (log base) 2))) (pow (log base) 4)) (* (log base) (* (log (sqrt (+ (* re re) (* im im)))) (pow (log base) 2))) (log base) base (* (log (sqrt (+ (* re re) (* im im)))) (pow (log base) 2)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) re im (pow (log base) 2) 2 (pow (log base) 4) 4 (/ (+ (* (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 (pow (log base) -1) -1 (/ (+ (* (* (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)) (* (pow (pow (log base) 3/2) 2) (log im)) (pow (pow (log base) 3/2) 2) (pow (log base) 3/2) 3/2 (/ (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (exp (* (log (neg (log base))) 4))) (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (* (pow (log base) 3) (log im)) (pow (log base) 3) 3 (exp (* (log (neg (log base))) 4)) (* (log (neg (log base))) 4) (log (neg (log base))) (neg (log base)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (- (pow (log base) 4) 0) (- (pow (log base) 2) 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) (* im im) (* (atan2 im re) 0) (atan2 im re) 0 (/ (- (pow (log base) 4) 0) (- (pow (log base) 2) 0)) (- (pow (log base) 4) 0) (- (pow (log base) 2) 0))

rewrite267.0ms (4.9%)

Memory

-2.0MiB live, 282.2MiB allocated; 36ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1036	15781
0	1108	13120
1	4783	12529
0	8248	11985

Stop Event

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

Counts

440 → 885

Calls

Call 1

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

Outputs
(.f64 (log.f64 base) (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (hypot.f64 im re)))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (hypot.f64 im re)))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 (hypot.f64 im re))) (log.f64 base))
(.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))))
(.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 (hypot.f64 im re))))
(*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(log.f64 (pow.f64 base (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 (hypot.f64 im re)))))
(log.f64 (pow.f64 (pow.f64 base (log.f64 base)) (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))))
(log.f64 (pow.f64 (hypot.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 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 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)))
(log.f64 base)
base
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 (hypot.f64 im re)))
(*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 base (log.f64 base)) (log.f64 (hypot.f64 im re))))
(log.f64 (pow.f64 (hypot.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re))))
(log.f64 (hypot.f64 im re))
(pow.f64 (hypot.f64 im re) #s(literal 1 binary64))
(pow.f64 (fma.f64 im im (*.f64 re re)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 im im (*.f64 re re)))
(hypot.f64 (neg.f64 re) (neg.f64 im))
(hypot.f64 (neg.f64 re) (fabs.f64 im))
(hypot.f64 (neg.f64 re) im)
(hypot.f64 (neg.f64 im) (neg.f64 re))
(hypot.f64 (neg.f64 im) (fabs.f64 re))
(hypot.f64 (neg.f64 im) re)
(hypot.f64 (fabs.f64 re) (neg.f64 im))
(hypot.f64 (fabs.f64 re) (fabs.f64 im))
(hypot.f64 (fabs.f64 re) im)
(hypot.f64 (fabs.f64 im) (neg.f64 re))
(hypot.f64 (fabs.f64 im) (fabs.f64 re))
(hypot.f64 (fabs.f64 im) re)
(hypot.f64 im (neg.f64 re))
(hypot.f64 im (fabs.f64 re))
(hypot.f64 im re)
(hypot.f64 re (neg.f64 im))
(hypot.f64 re (fabs.f64 im))
(hypot.f64 re im)
(exp.f64 (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/2 binary64)))
re
im
(*.f64 (fabs.f64 (log.f64 base)) (fabs.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 (*.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 (log.f64 base)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #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 (-.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 (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 (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(fma.f64 (fabs.f64 (log.f64 base)) (fabs.f64 (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (log.f64 base) #s(literal 0 binary64))
(-.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) (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 (.f64 (log.f64 (log.f64 base)) #s(literal 4 binary64)) (.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))))
(exp.f64 (-.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 4 binary64)) (.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))))
(exp.f64 (-.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))))
(exp.f64 (-.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))
(exp.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 (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 (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 (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 2 binary64)
(*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (neg.f64 (log.f64 base))) #s(literal 4 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(pow.f64 (*.f64 (log.f64 base) (neg.f64 (log.f64 base))) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 (log.f64 base)) (log.f64 base)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 base)))) #s(literal 4 binary64))
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (log.f64 base) #s(literal 4 binary64))
(/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)))
(/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 12 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (+.f64 #s(literal 0 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)) #s(literal 0 binary64))
(exp.f64 (fma.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64) (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64) (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64) (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64) (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 base))))) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 4 binary64)))
(exp.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 4 binary64))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
(log.f64 (pow.f64 (pow.f64 base (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
#s(literal 4 binary64)
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (- (pow (log base) 4) 0) (- (pow (log base) 2) 0))) (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (/.f64 (log.f64 im) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(*.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)
(*.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)))
(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)))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (log.f64 base))) #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) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #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))))
#s(literal -1 binary64)
(/.f64 (neg.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)))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 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)))
#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)))
(*.f64 (neg.f64 (log.f64 im)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 im)) #s(literal -1 binary64))
(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (neg.f64 (log.f64 im)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 im))
(*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 im)))
(neg.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 im)))
(log.f64 (pow.f64 (pow.f64 im (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal -1 binary64)))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
(log.f64 (pow.f64 im (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(*.f64 (neg.f64 (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (pow.f64 (log.f64 base) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (neg.f64 (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 base))
(*.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(neg.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(exp.f64 (fma.f64 (log.f64 (log.f64 base)) #s(literal 3/2 binary64) (*.f64 (log.f64 (log.f64 base)) #s(literal 3/2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 3 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64))) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64))) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 3 binary64))))
(log.f64 (pow.f64 (pow.f64 base (log.f64 base)) (neg.f64 (log.f64 base))))
(log.f64 (pow.f64 (pow.f64 base #s(literal -1 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(log.f64 (pow.f64 base (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(log.f64 (pow.f64 (pow.f64 base (log.f64 base)) (log.f64 base)))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 3/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 3/4 binary64)) #s(literal 1 binary64)))
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#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (- (pow (log base) 4) 0) (- (pow (log base) 2) 0))) (/.f64 (log.f64 (hypot.f64 im 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 (/ (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (exp (* (log (neg (log base))) 4))) (/.f64 (log.f64 (hypot.f64 im 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 (hypot.f64 im re))))
#s(approx (pow (log base) 3) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
#s(approx (pow (log base) 3/2) (pow.f64 (log.f64 base) #s(literal 3/2 binary64)))
#s(approx (/ (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (exp (* (log (neg (log base))) 4))) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
#s(approx (pow (log base) 3) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
#s(approx (- (pow (log base) 4) 0) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
#s(approx (* (log (neg (log base))) 4) (log.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
#s(approx (log (neg (log base))) (log.f64 (neg.f64 (log.f64 base))))
#s(approx (neg (log base)) (neg.f64 (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (- (pow (log base) 4) 0) (- (pow (log base) 2) 0))) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))))
#s(approx (/ (- (pow (log base) 4) 0) (- (pow (log base) 2) 0)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (- (pow (log base) 4) 0) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
#s(approx (/ (- (pow (log base) 4) 0) (- (pow (log base) 2) 0)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (/ (* (log base) (* (log (sqrt (+ (* re re) (* im im)))) (pow (log base) 2))) (pow (log base) 4)) (neg.f64 (/.f64 (log.f64 (hypot.f64 im re)) (neg.f64 (log.f64 base)))))
#s(approx (* (log base) (* (log (sqrt (+ (* re re) (* im im)))) (pow (log base) 2))) (neg.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (hypot.f64 im re)))))
#s(approx (/ 1 (pow (log base) -1)) (neg.f64 (neg.f64 (log.f64 base))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (pow (log base) 2)) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 (hypot.f64 im re))))
#s(approx (/ (- (pow (log base) 4) 0) (- (pow (log base) 2) 0)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (- (pow (log base) 4) 0) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (- (pow (log base) 4) 0) (- (pow (log base) 2) 0))) (neg.f64 (/.f64 (log.f64 (hypot.f64 im re)) (neg.f64 (log.f64 base)))))
#s(approx (/ (log im) (/ 1 (pow (log base) -1))) (/.f64 (log.f64 im) (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 (/ (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (exp (* (log (neg (log base))) 4))) (neg.f64 (/.f64 (log.f64 (hypot.f64 im 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 (hypot.f64 im re)))))
#s(approx (* (pow (log base) 3) (log im)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 im)))
#s(approx (pow (log base) 3) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
#s(approx (pow (log base) 3/2) (pow.f64 (log.f64 base) #s(literal 3/2 binary64)))
#s(approx (/ (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (exp (* (log (neg (log base))) 4))) (neg.f64 (/.f64 (log.f64 (hypot.f64 im re)) (neg.f64 (log.f64 base)))))
#s(approx (* (pow (log base) 3) (log im)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 im)))
#s(approx (pow (log base) 3) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
#s(approx (- (pow (log base) 4) 0) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
#s(approx (* (log (neg (log base))) 4) (log.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
#s(approx (log (neg (log base))) (log.f64 (neg.f64 (log.f64 base))))
#s(approx (neg (log base)) (neg.f64 (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (- (pow (log base) 4) 0) (- (pow (log base) 2) 0))) (neg.f64 (/.f64 (log.f64 (hypot.f64 im re)) (neg.f64 (log.f64 base)))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (neg.f64 (*.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 im re)))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (neg.f64 (*.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 im re)))))
#s(approx (/ (- (pow (log base) 4) 0) (- (pow (log base) 2) 0)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (- (pow (log base) 4) 0) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
#s(approx (/ (- (pow (log base) 4) 0) (- (pow (log base) 2) 0)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (/ (* (log base) (* (log (sqrt (+ (* re re) (* im im)))) (pow (log base) 2))) (pow (log base) 4)) (/.f64 (log.f64 (hypot.f64 im re)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))
#s(approx (* (log base) (* (log (sqrt (+ (* re re) (* im im)))) (pow (log base) 2))) (*.f64 (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 3 binary64)) (log.f64 (hypot.f64 im re))))
#s(approx (/ 1 (pow (log base) -1)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (pow (log base) 2)) (*.f64 (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) (log.f64 (hypot.f64 im re))))
#s(approx (/ (- (pow (log base) 4) 0) (- (pow (log base) 2) 0)) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)))
#s(approx (- (pow (log base) 4) 0) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 4 binary64)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (- (pow (log base) 4) 0) (- (pow (log base) 2) 0))) (/.f64 (log.f64 (hypot.f64 im re)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))
#s(approx (/ (log im) (/ 1 (pow (log base) -1))) (/.f64 (log.f64 im) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))
#s(approx (/ 1 (pow (log base) -1)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))
#s(approx (pow (log base) -1) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #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)) (exp (* (log (neg (log base))) 4))) (/.f64 (log.f64 (hypot.f64 im re)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #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 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 3 binary64)) (log.f64 (hypot.f64 im re))))
#s(approx (* (pow (log base) 3) (log im)) (*.f64 (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 3 binary64)) (log.f64 im)))
#s(approx (pow (log base) 3) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 3 binary64)))
#s(approx (pow (log base) 3/2) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 3/2 binary64)))
#s(approx (/ (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (exp (* (log (neg (log base))) 4))) (/.f64 (log.f64 (hypot.f64 im re)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))
#s(approx (* (pow (log base) 3) (log im)) (*.f64 (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 3 binary64)) (log.f64 im)))
#s(approx (pow (log base) 3) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 3 binary64)))
#s(approx (- (pow (log base) 4) 0) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 4 binary64)))
#s(approx (* (log (neg (log base))) 4) (*.f64 (log.f64 (neg.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))) #s(literal 4 binary64)))
#s(approx (log (neg (log base))) (log.f64 (neg.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))))
#s(approx (neg (log base)) (neg.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (- (pow (log base) 4) 0) (- (pow (log base) 2) 0))) (/.f64 (log.f64 (hypot.f64 im re)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (hypot.f64 im re))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (hypot.f64 im re))))
#s(approx (/ (- (pow (log base) 4) 0) (- (pow (log base) 2) 0)) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)))
#s(approx (- (pow (log base) 4) 0) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 4 binary64)))
#s(approx (/ (- (pow (log base) 4) 0) (- (pow (log base) 2) 0)) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)))

eval111.0ms (2%)

Memory: 17.4MiB live, 251.1MiB allocated; 52ms collecting garbage
Compiler: Compiled 34 423 to 3 233 computations (90.6% saved)

prune39.0ms (0.7%)

Memory

23.5MiB live, 116.2MiB allocated; 6ms collecting garbage

Pruning

26 alts after pruning (20 fresh and 6 done)

	Pruned	Kept	Total
New	859	7	866
Fresh	3	13	16
Picked	3	2	5
Done	0	4	4
Total	865	26	891

Accuracy

100.0%

Counts

891 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.1%	(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	98.7%	(/.f64 (fma.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im 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 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 2 binary64)))
	99.1%	(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 0 binary64))))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	49.4%	(/.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))))
	24.7%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (exp.f64 (.f64 (log.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))))
	98.9%	(/.f64 (.f64 (log.f64 base) (.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) im)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	52.9%	(/.f64 #s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (log.f64 im))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
✓	52.0%	(/.f64 #s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) #s(literal 2 binary64)) (log.f64 im))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	98.7%	(/.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 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 2 binary64)))
✓	99.0%	(/.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)))
✓	45.4%	(/.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))) (exp.f64 (.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 4 binary64))))
	50.5%	(/.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))) (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 4 binary64))))
	99.0%	(/.f64 #s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 base)) (log.f64 im))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	50.6%	(/.f64 #s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (.f64 (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 3 binary64))) (log.f64 im))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	99.0%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (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))))
	99.0%	(/.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))))
	45.9%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (exp (* (log (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))))
	99.2%	(*.f64 (/.f64 (fma.f64 (log.f64 base) (log.f64 (hypot.f64 im re)) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
	99.1%	(.f64 (log.f64 base) (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
✓	49.6%	#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 (fma.f64 im im (.f64 re re)))) (log.f64 base)))
✓	99.4%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
	52.0%	#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)))))
	99.1%	#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)))))
✓	99.2%	#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)))
	51.6%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base)))))
	99.1%	#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 2 419 to 847 computations (65% saved)

regimes115.0ms (2.1%)

Memory

-33.4MiB live, 109.5MiB allocated; 11ms collecting garbage

Counts

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

Calls

5 calls:

65.0ms	(log.f64 base)
13.0ms	re
11.0ms	base
11.0ms	im
10.0ms	(/.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
99.4%	1	`(log.f64 base)`
99.4%	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))))`
99.4%	1	`re`
99.4%	1	`im`
99.4%	1	`base`

Compiler

Compiled 33 to 31 computations (6.1% saved)

regimes8.0ms (0.1%)

Memory

17.0MiB live, 17.0MiB allocated; 0ms collecting garbage

Accuracy

Total -31.8b remaining (-6271.9%)

Threshold costs -31.8b (-6271.9%)

Counts

3 → 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 (fma.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)))))

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:

1.0ms	im
1.0ms	base
1.0ms	(log.f64 base)
1.0ms	re
1.0ms	(/.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
99.2%	1	`(log.f64 base)`
99.2%	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))))`
99.2%	1	`re`
99.2%	1	`im`
99.2%	1	`base`

Compiler

Compiled 33 to 31 computations (6.1% saved)

derivations51.0ms (0.9%)

Memory

-1.0MiB live, 45.4MiB allocated; 1ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 70 to 26 computations (62.9% saved)

preprocess28.0ms (0.5%)

Memory: -10.5MiB live, 38.6MiB allocated; 7ms collecting garbage
Compiler: Compiled 616 to 358 computations (41.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze208.0ms (3.8%)

sample2.0s (35.8%)

explain365.0ms (6.6%)

preprocess147.0ms (2.7%)

eval0.0ms (0%)

prune1.0ms (0%)

series122.0ms (2.2%)

rewrite256.0ms (4.6%)

eval63.0ms (1.2%)

prune18.0ms (0.3%)

series328.0ms (6%)

rewrite322.0ms (5.8%)

eval93.0ms (1.7%)

prune36.0ms (0.6%)

series276.0ms (5%)

rewrite286.0ms (5.2%)

eval103.0ms (1.9%)

prune33.0ms (0.6%)

series263.0ms (4.8%)

rewrite267.0ms (4.9%)

eval111.0ms (2%)

prune39.0ms (0.7%)

regimes115.0ms (2.1%)

regimes8.0ms (0.1%)

derivations51.0ms (0.9%)

preprocess28.0ms (0.5%)

end0.0ms (0%)

Profiling