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

start0.0ms (0%)

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

analyze240.0ms (3.3%)

Memory

18.4MiB live, 207.7MiB allocated; 55ms 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)

sample1.5s (21.5%)

Memory

64.8MiB live, 1 919.1MiB allocated; 343ms collecting garbage

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 835.0ms

ival-mult: 193.0ms (23.1% of total)

ival-log: 192.0ms (23% of total)

ival-hypot: 169.0ms (20.2% of total)

ival-atan2: 115.0ms (13.8% of total)

ival-add: 106.0ms (12.7% of total)

ival-div: 47.0ms (5.6% of total)

exact: 6.0ms (0.7% of total)

adjust: 3.0ms (0.4% of total)

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

Bogosity

explain650.0ms (9.1%)

Memory

-35.3MiB live, 351.7MiB allocated; 706ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
114	-	1	(-7.0879746776955925e-158 2.1704499228433972e-240 1.4807174844400035e-112)	`(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	99	0
↳	`(+.f64 (.f64 re re) (.f64 im im))`	overflow	99
↳	`(*.f64 re re)`	overflow	62
↳	`(*.f64 im im)`	overflow	63
`sqrt.f64`	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`	uflow-rescue	14	0
↳	`(+.f64 (.f64 re re) (.f64 im im))`	underflow	14
↳	`(*.f64 re re)`	underflow	63
↳	`(*.f64 im im)`	underflow	58

Confusion

	Predicted +	Predicted -
+	113	1
-	0	142

Precision

1.0

Recall

0.9912280701754386

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	113	0	1
-	0	0	142

Precision?

1.0

Recall?

0.9912280701754386

Freqs

test

number	freq
0	143
1	113

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

83.0ms

512×

valid

Compiler

Compiled 270 to 58 computations (78.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-mult: 15.0ms (26.7% of total)

ival-hypot: 14.0ms (24.9% of total)

ival-log: 12.0ms (21.4% of total)

ival-add: 7.0ms (12.5% of total)

ival-atan2: 4.0ms (7.1% of total)

ival-div: 3.0ms (5.3% of total)

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

adjust: 0.0ms (0% of total)

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

exact: 0.0ms (0% of total)

preprocess195.0ms (2.7%)

Memory

1.5MiB live, 186.6MiB allocated; 26ms 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 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 (hypot.f64 im re)))

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

1.6MiB live, 1.6MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.8%	(/.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

▶

56.8%

(/.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)

series161.0ms (2.2%)

Memory

-12.3MiB live, 172.2MiB 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
62.0ms	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))
45.0ms	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))
27.0ms	base	@	inf	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) re (* im im) im (log base) base (* (atan2 im re) 0) (atan2 im re) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0))
6.0ms	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))
5.0ms	im	@	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))

rewrite191.0ms (2.7%)

Memory

14.3MiB live, 237.9MiB allocated; 37ms 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))))))))))
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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 (*.f64 #s(literal -1 binary64) (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 (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) #s(literal 0 binary64))) (neg.f64 (-.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 0 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 0 binary64))) (neg.f64 (fma.f64 (neg.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) (neg.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 0 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) #s(literal 0 binary64)) (-.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 0 binary64)))
(/.f64 (fma.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (neg.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) (neg.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) (-.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 (.f64 #s(literal -1 binary64) im) (.f64 #s(literal -1 binary64) im) (.f64 re re))))
(log.f64 (hypot.f64 im re))
(pow.f64 (hypot.f64 im re) #s(literal 1 binary64))
(pow.f64 (fma.f64 (.f64 #s(literal -1 binary64) im) (.f64 #s(literal -1 binary64) im) (*.f64 re re)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 re re) #s(literal 2 binary64)) (pow.f64 (.f64 im im) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (.f64 re re) (.f64 im im))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 im im) #s(literal 2 binary64)) (pow.f64 (.f64 re re) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (.f64 im im) (.f64 re re))))
(/.f64 (hypot.f64 (pow.f64 (fabs.f64 re) #s(literal 3 binary64)) (pow.f64 (fabs.f64 im) #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (.f64 re re) (.f64 re re) (-.f64 (pow.f64 (.f64 im im) #s(literal 2 binary64)) (.f64 (.f64 re re) (.f64 im im))))))
(/.f64 (hypot.f64 (pow.f64 (fabs.f64 im) #s(literal 3 binary64)) (pow.f64 (fabs.f64 re) #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (.f64 im im) (.f64 im im) (-.f64 (pow.f64 (.f64 re re) #s(literal 2 binary64)) (.f64 (.f64 im im) (.f64 re re))))))
(sqrt.f64 (fma.f64 (.f64 #s(literal -1 binary64) im) (.f64 #s(literal -1 binary64) im) (*.f64 re re)))
(hypot.f64 (neg.f64 (.f64 #s(literal -1 binary64) re)) (neg.f64 (.f64 #s(literal -1 binary64) im)))
(hypot.f64 (neg.f64 (*.f64 #s(literal -1 binary64) re)) (neg.f64 (fabs.f64 im)))
(hypot.f64 (neg.f64 (*.f64 #s(literal -1 binary64) re)) (fabs.f64 (fabs.f64 im)))
(hypot.f64 (neg.f64 (.f64 #s(literal -1 binary64) re)) (.f64 #s(literal -1 binary64) im))
(hypot.f64 (neg.f64 (*.f64 #s(literal -1 binary64) re)) (fabs.f64 im))
(hypot.f64 (neg.f64 (*.f64 #s(literal -1 binary64) re)) im)
(hypot.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (*.f64 #s(literal -1 binary64) 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)) (*.f64 #s(literal -1 binary64) im))
(hypot.f64 (neg.f64 (fabs.f64 re)) (fabs.f64 im))
(hypot.f64 (neg.f64 (fabs.f64 re)) im)
(hypot.f64 (neg.f64 (.f64 #s(literal -1 binary64) im)) (neg.f64 (.f64 #s(literal -1 binary64) re)))
(hypot.f64 (neg.f64 (*.f64 #s(literal -1 binary64) im)) (neg.f64 (fabs.f64 re)))
(hypot.f64 (neg.f64 (*.f64 #s(literal -1 binary64) im)) (fabs.f64 (fabs.f64 re)))
(hypot.f64 (neg.f64 (.f64 #s(literal -1 binary64) im)) (.f64 #s(literal -1 binary64) re))
(hypot.f64 (neg.f64 (*.f64 #s(literal -1 binary64) im)) (fabs.f64 re))
(hypot.f64 (neg.f64 (*.f64 #s(literal -1 binary64) im)) re)
(hypot.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (*.f64 #s(literal -1 binary64) 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)) (*.f64 #s(literal -1 binary64) 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 (*.f64 #s(literal -1 binary64) 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)) (*.f64 #s(literal -1 binary64) 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 (*.f64 #s(literal -1 binary64) 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)) (*.f64 #s(literal -1 binary64) re))
(hypot.f64 (fabs.f64 (fabs.f64 im)) (fabs.f64 re))
(hypot.f64 (fabs.f64 (fabs.f64 im)) re)
(hypot.f64 (.f64 #s(literal -1 binary64) im) (neg.f64 (.f64 #s(literal -1 binary64) re)))
(hypot.f64 (*.f64 #s(literal -1 binary64) im) (neg.f64 (fabs.f64 re)))
(hypot.f64 (*.f64 #s(literal -1 binary64) im) (fabs.f64 (fabs.f64 re)))
(hypot.f64 (.f64 #s(literal -1 binary64) im) (.f64 #s(literal -1 binary64) re))
(hypot.f64 (*.f64 #s(literal -1 binary64) im) (fabs.f64 re))
(hypot.f64 (*.f64 #s(literal -1 binary64) im) re)
(hypot.f64 (.f64 #s(literal -1 binary64) re) (neg.f64 (.f64 #s(literal -1 binary64) im)))
(hypot.f64 (*.f64 #s(literal -1 binary64) re) (neg.f64 (fabs.f64 im)))
(hypot.f64 (*.f64 #s(literal -1 binary64) re) (fabs.f64 (fabs.f64 im)))
(hypot.f64 (.f64 #s(literal -1 binary64) re) (.f64 #s(literal -1 binary64) im))
(hypot.f64 (*.f64 #s(literal -1 binary64) re) (fabs.f64 im))
(hypot.f64 (*.f64 #s(literal -1 binary64) re) im)
(hypot.f64 (fabs.f64 im) (neg.f64 (*.f64 #s(literal -1 binary64) 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) (*.f64 #s(literal -1 binary64) re))
(hypot.f64 (fabs.f64 im) (fabs.f64 re))
(hypot.f64 (fabs.f64 im) re)
(hypot.f64 (fabs.f64 re) (neg.f64 (*.f64 #s(literal -1 binary64) 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) (*.f64 #s(literal -1 binary64) im))
(hypot.f64 (fabs.f64 re) (fabs.f64 im))
(hypot.f64 (fabs.f64 re) im)
(hypot.f64 im (neg.f64 (*.f64 #s(literal -1 binary64) re)))
(hypot.f64 im (neg.f64 (fabs.f64 re)))
(hypot.f64 im (fabs.f64 (fabs.f64 re)))
(hypot.f64 im (*.f64 #s(literal -1 binary64) re))
(hypot.f64 im (fabs.f64 re))
(hypot.f64 im re)
(hypot.f64 re (neg.f64 (*.f64 #s(literal -1 binary64) im)))
(hypot.f64 re (neg.f64 (fabs.f64 im)))
(hypot.f64 re (fabs.f64 (fabs.f64 im)))
(hypot.f64 re (*.f64 #s(literal -1 binary64) im))
(hypot.f64 re (fabs.f64 im))
(hypot.f64 re im)
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 #s(literal -1 binary64) im) (.f64 #s(literal -1 binary64) im) (.f64 re re))) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 re re) #s(literal 2 binary64)) (pow.f64 (.f64 im im) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 re re) (.f64 im im))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 im im) #s(literal 2 binary64)) (pow.f64 (.f64 re re) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 im im) (.f64 re re))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fabs.f64 re) #s(literal 3 binary64)) (pow.f64 (fabs.f64 re) #s(literal 3 binary64)) (pow.f64 (.f64 im im) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 re re) (.f64 re re) (-.f64 (pow.f64 (.f64 im im) #s(literal 2 binary64)) (.f64 (.f64 re re) (*.f64 im im))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fabs.f64 im) #s(literal 3 binary64)) (pow.f64 (fabs.f64 im) #s(literal 3 binary64)) (pow.f64 (.f64 re re) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 im im) (.f64 im im) (-.f64 (pow.f64 (.f64 re re) #s(literal 2 binary64)) (.f64 (.f64 im im) (*.f64 re re))))))
(/.f64 (-.f64 (pow.f64 (.f64 re re) #s(literal 2 binary64)) (pow.f64 (.f64 im im) #s(literal 2 binary64))) (-.f64 (.f64 re re) (.f64 im im)))
(/.f64 (-.f64 (pow.f64 (.f64 im im) #s(literal 2 binary64)) (pow.f64 (.f64 re re) #s(literal 2 binary64))) (-.f64 (.f64 im im) (.f64 re re)))
(/.f64 (fma.f64 (pow.f64 (fabs.f64 re) #s(literal 3 binary64)) (pow.f64 (fabs.f64 re) #s(literal 3 binary64)) (pow.f64 (.f64 im im) #s(literal 3 binary64))) (fma.f64 (.f64 re re) (.f64 re re) (-.f64 (pow.f64 (.f64 im im) #s(literal 2 binary64)) (.f64 (.f64 re re) (*.f64 im im)))))
(/.f64 (fma.f64 (pow.f64 (fabs.f64 im) #s(literal 3 binary64)) (pow.f64 (fabs.f64 im) #s(literal 3 binary64)) (pow.f64 (.f64 re re) #s(literal 3 binary64))) (fma.f64 (.f64 im im) (.f64 im im) (-.f64 (pow.f64 (.f64 re re) #s(literal 2 binary64)) (.f64 (.f64 im im) (*.f64 re re)))))
(fma.f64 (neg.f64 (.f64 #s(literal -1 binary64) re)) (neg.f64 (.f64 #s(literal -1 binary64) re)) (*.f64 im im))
(fma.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (fabs.f64 re)) (*.f64 im im))
(fma.f64 (neg.f64 (.f64 #s(literal -1 binary64) im)) (neg.f64 (.f64 #s(literal -1 binary64) 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 (.f64 #s(literal -1 binary64) im) (.f64 #s(literal -1 binary64) im) (*.f64 re re))
(fma.f64 (.f64 #s(literal -1 binary64) re) (.f64 #s(literal -1 binary64) 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 (*.f64 #s(literal -1 binary64) im) im))
(+.f64 (.f64 im im) (.f64 re re))
(+.f64 (.f64 re re) (.f64 im im))
(.f64 (neg.f64 (.f64 #s(literal -1 binary64) re)) (neg.f64 (*.f64 #s(literal -1 binary64) re)))
(*.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (fabs.f64 re)))
(*.f64 (fabs.f64 (fabs.f64 re)) (fabs.f64 (fabs.f64 re)))
(.f64 (.f64 #s(literal -1 binary64) re) (*.f64 #s(literal -1 binary64) re))
(*.f64 (fabs.f64 re) (fabs.f64 re))
(*.f64 re re)
(pow.f64 (*.f64 #s(literal -1 binary64) 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 (.f64 #s(literal -1 binary64) im)) (neg.f64 (*.f64 #s(literal -1 binary64) im)))
(*.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 im)))
(*.f64 (fabs.f64 (fabs.f64 im)) (fabs.f64 (fabs.f64 im)))
(.f64 (.f64 #s(literal -1 binary64) im) (*.f64 #s(literal -1 binary64) im))
(*.f64 (fabs.f64 im) (fabs.f64 im))
(*.f64 im im)
(pow.f64 (*.f64 #s(literal -1 binary64) 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)
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#s(approx (* im im) (*.f64 im 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))) (fma.f64 (/.f64 (.f64 #s(literal -1 binary64) (log.f64 im)) (.f64 (.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal -1 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 (pow.f64 (.f64 re re) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 im im) #s(literal 2 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))))))
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#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (.f64 (.f64 #s(literal -1 binary64) (log.f64 base)) (*.f64 #s(literal -1 binary64) (log.f64 im))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (fma.f64 (.f64 (.f64 #s(literal -1 binary64) (log.f64 base)) (log.f64 im)) #s(literal -1 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 (.f64 (.f64 #s(literal -1 binary64) (log.f64 base)) (log.f64 im)) #s(literal -1 binary64) (/.f64 (fma.f64 (log.f64 (pow.f64 (pow.f64 base (pow.f64 (.f64 re re) #s(literal 2 binary64))) #s(literal -1/4 binary64))) (.f64 im im) (.f64 (pow.f64 (.f64 im im) #s(literal 2 binary64)) (log.f64 (pow.f64 (pow.f64 base (.f64 re re)) #s(literal 1/2 binary64))))) (pow.f64 (.f64 im im) #s(literal 3 binary64)))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (fma.f64 (.f64 (.f64 #s(literal -1 binary64) (log.f64 base)) (log.f64 im)) #s(literal -1 binary64) (fma.f64 (.f64 (pow.f64 (.f64 re re) #s(literal 2 binary64)) (/.f64 (log.f64 base) (pow.f64 (.f64 im im) #s(literal 2 binary64)))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 (.f64 re re) #s(literal 3 binary64)) #s(literal 120 binary64)) (log.f64 base)) (pow.f64 (.f64 im im) #s(literal 3 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)))) (log.f64 im))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (.f64 #s(literal -1 binary64) (log.f64 im)) #s(literal -1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 im im))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (fma.f64 (.f64 #s(literal -1 binary64) (log.f64 im)) #s(literal -1 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 re re) #s(literal 2 binary64))) (pow.f64 (.f64 im im) #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (*.f64 im im))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (fma.f64 (.f64 #s(literal -1 binary64) (log.f64 im)) #s(literal -1 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 re re) #s(literal 2 binary64))) (pow.f64 (.f64 im im) #s(literal 2 binary64)))) (/.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 (.f64 re re) #s(literal 3 binary64)) #s(literal 120 binary64))) (.f64 im im) (.f64 (pow.f64 (.f64 im im) #s(literal 3 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 re re)))) (.f64 (pow.f64 (.f64 im im) #s(literal 3 binary64)) (*.f64 im im)))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 2 binary64) (.f64 (.f64 im im) #s(literal 2 binary64))) (.f64 (*.f64 im im) #s(literal 2 binary64))) im))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (.f64 im im) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 re re) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (pow.f64 (.f64 im im) #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 im im))) im))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (.f64 im im) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 re re) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (pow.f64 (.f64 im im) #s(literal 2 binary64)))) (/.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 (.f64 re re) #s(literal 3 binary64))) (.f64 im im) (.f64 (pow.f64 (.f64 im im) #s(literal 3 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 re re)))) (.f64 (pow.f64 (.f64 im im) #s(literal 3 binary64)) (*.f64 im im)))) im))
#s(approx (+ (* re re) (* im im)) (.f64 (/.f64 (fma.f64 (.f64 re re) #s(literal 2 binary64) (.f64 (.f64 im im) #s(literal 2 binary64))) (.f64 (.f64 im im) #s(literal 2 binary64))) (*.f64 im im)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 im)) (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))) (fma.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 im)) (log.f64 base)) #s(literal -1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 (.f64 im im) (log.f64 base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (fma.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 im)) (log.f64 base)) #s(literal -1 binary64) (fma.f64 (/.f64 (pow.f64 (.f64 re re) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 im im) #s(literal 2 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 (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (fma.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 im)) (log.f64 base)) #s(literal -1 binary64) (fma.f64 (/.f64 (pow.f64 (.f64 re re) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 im im) #s(literal 2 binary64)) (log.f64 base))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 re re) #s(literal 3 binary64)) #s(literal 120 binary64)) (.f64 (pow.f64 (.f64 im im) #s(literal 3 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 (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (.f64 #s(literal -1 binary64) (log.f64 base)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 im))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 (.f64 #s(literal -1 binary64) (log.f64 base)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 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)) (* (atan2 im re) 0)) (fma.f64 (.f64 #s(literal -1 binary64) (log.f64 base)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 im)) (/.f64 (fma.f64 (log.f64 (pow.f64 (pow.f64 base (pow.f64 (.f64 re re) #s(literal 2 binary64))) #s(literal -1/4 binary64))) (.f64 im im) (.f64 (pow.f64 (.f64 im im) #s(literal 2 binary64)) (log.f64 (pow.f64 (pow.f64 base (.f64 re re)) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 im im) #s(literal 3 binary64)))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 (.f64 #s(literal -1 binary64) (log.f64 base)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 im)) (fma.f64 (.f64 (pow.f64 (.f64 re re) #s(literal 2 binary64)) (/.f64 (log.f64 base) (pow.f64 (.f64 im im) #s(literal 2 binary64)))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 (.f64 re re) #s(literal 3 binary64)) #s(literal 120 binary64)) (log.f64 base)) (pow.f64 (.f64 im im) #s(literal 3 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)))) (log base)) (.f64 (.f64 #s(literal -1 binary64) (log.f64 base)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 im))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (fma.f64 (.f64 #s(literal -1 binary64) (log.f64 base)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 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 (.f64 #s(literal -1 binary64) (log.f64 base)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 im)) (/.f64 (fma.f64 (log.f64 (pow.f64 (pow.f64 base (pow.f64 (.f64 re re) #s(literal 2 binary64))) #s(literal -1/4 binary64))) (.f64 im im) (.f64 (pow.f64 (.f64 im im) #s(literal 2 binary64)) (log.f64 (pow.f64 (pow.f64 base (.f64 re re)) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 im im) #s(literal 3 binary64)))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (fma.f64 (.f64 #s(literal -1 binary64) (log.f64 base)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 im)) (fma.f64 (.f64 (pow.f64 (.f64 re re) #s(literal 2 binary64)) (/.f64 (log.f64 base) (pow.f64 (.f64 im im) #s(literal 2 binary64)))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 (.f64 re re) #s(literal 3 binary64)) #s(literal 120 binary64)) (log.f64 base)) (pow.f64 (.f64 im im) #s(literal 3 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)))) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) im) #s(literal -1 binary64))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 im)) #s(literal -1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (*.f64 im im))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 im)) #s(literal -1 binary64) (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 re re) #s(literal 2 binary64))) (.f64 im im) (.f64 (pow.f64 (.f64 im im) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 re re)))) (pow.f64 (.f64 im im) #s(literal 3 binary64)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 im)) #s(literal -1 binary64) (fma.f64 (/.f64 (pow.f64 (.f64 re re) #s(literal 2 binary64)) (pow.f64 (.f64 im im) #s(literal 2 binary64))) #s(literal -1/4 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 (.f64 re re) #s(literal 3 binary64)) #s(literal 120 binary64))) (.f64 im im) (.f64 (pow.f64 (.f64 im im) #s(literal 3 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 re re)))) (.f64 (pow.f64 (.f64 im im) #s(literal 3 binary64)) (*.f64 im im))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) im))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 (.f64 #s(literal -1 binary64) im) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 2 binary64) (.f64 (.f64 im im) #s(literal 2 binary64))) (.f64 (.f64 im im) #s(literal 2 binary64)))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 (.f64 #s(literal -1 binary64) im) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (.f64 im im) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 re re) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (pow.f64 (.f64 im im) #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (*.f64 im im)))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 (.f64 #s(literal -1 binary64) im) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (.f64 im im) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 re re) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (pow.f64 (.f64 im im) #s(literal 2 binary64)))) (/.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 (.f64 re re) #s(literal 3 binary64))) (.f64 im im) (.f64 (pow.f64 (.f64 im im) #s(literal 3 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 re re)))) (.f64 (pow.f64 (.f64 im im) #s(literal 3 binary64)) (.f64 im im))))))
#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))) (.f64 (/.f64 (log.f64 (hypot.f64 im re)) (.f64 #s(literal -1 binary64) (log.f64 base))) #s(literal -1 binary64)))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (log.f64 (pow.f64 (hypot.f64 im re) #s(literal -1 binary64))) (.f64 #s(literal -1 binary64) (log.f64 base))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (.f64 (log.f64 (pow.f64 (hypot.f64 im re) #s(literal -1 binary64))) (.f64 #s(literal -1 binary64) (log.f64 base))))
#s(approx (log base) (.f64 (.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal -1 binary64)))
#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 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 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 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 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 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (hypot.f64 im re))))
#s(approx (log base) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))
#s(approx (+ (* (log base) (log base)) (* 0 0)) (*.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))
#s(approx (+ (* (log base) (log base)) (* 0 0)) (*.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))

eval61.0ms (0.9%)

Memory: -10.0MiB live, 91.8MiB allocated; 43ms collecting garbage
Compiler: Compiled 14 061 to 1 807 computations (87.1% saved)

prune92.0ms (1.3%)

Memory

17.7MiB live, 156.5MiB allocated; 12ms collecting garbage

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	349	9	358
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	350	9	359

Accuracy

99.9%

Counts

359 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.1%	(/.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) (log.f64 base)) #s(literal 4 binary64)))
▶	99.2%	(/.f64 (fma.f64 (log.f64 (hypot.f64 im re)) (log.f64 base) #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 (fma.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (neg.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) (neg.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) (-.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))))
▶	56.8%	(/.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))))
	26.8%	(/.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))))
▶	26.8%	(/.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))))
	3.5%	(/.f64 (+.f64 (log.f64 (pow.f64 (hypot.f64 im re) (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))))
▶	55.4%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (fma.f64 (log.f64 im) (.f64 (.f64 im im) (log.f64 base)) (.f64 (log.f64 base) (.f64 #s(literal 1/2 binary64) (.f64 re re)))) (.f64 (log.f64 base) (.f64 (.f64 im im) (log.f64 base)))))
▶	99.5%	#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)))

Compiler

Compiled 610 to 368 computations (39.7% saved)

series296.0ms (4.1%)

Memory

22.2MiB live, 398.9MiB allocated; 50ms collecting garbage

Counts

45 → 439

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 (fma.f64 (log.f64 im) (.f64 (.f64 im im) (log.f64 base)) (.f64 (log.f64 base) (.f64 #s(literal 1/2 binary64) (.f64 re re)))) (.f64 (log.f64 base) (.f64 (.f64 im im) (log.f64 base)))))
(/.f64 (fma.f64 (log.f64 im) (.f64 (.f64 im im) (log.f64 base)) (.f64 (log.f64 base) (.f64 #s(literal 1/2 binary64) (.f64 re re)))) (.f64 (log.f64 base) (.f64 (.f64 im im) (log.f64 base))))
(fma.f64 (log.f64 im) (.f64 (.f64 im im) (log.f64 base)) (.f64 (log.f64 base) (.f64 #s(literal 1/2 binary64) (*.f64 re re))))
(log.f64 im)
(.f64 (.f64 im im) (log.f64 base))
(*.f64 im im)
(.f64 (log.f64 base) (.f64 #s(literal 1/2 binary64) (*.f64 re re)))
(.f64 #s(literal 1/2 binary64) (.f64 re re))
#s(literal 1/2 binary64)
(*.f64 re re)
(.f64 (log.f64 base) (.f64 (*.f64 im im) (log.f64 base)))
(/.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))))
(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))
(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 (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))
(/.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 (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))
(+.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 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64))) (log.f64 base))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(pow.f64 (log.f64 base) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (fma.f64 (log.f64 (hypot.f64 im re)) (log.f64 base) #s(literal 0 binary64)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (log.f64 (hypot.f64 im re)) (log.f64 base) #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 (+ (* 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 im) (* (* im im) (log base))) (* (log base) (* 1/2 (* re re)))) (* (log base) (* (* im im) (log base)))) #s(hole binary64 (/ (log im) (log base))))
#s(approx (/ (+ (* (log im) (* (* im im) (log base))) (* (log base) (* 1/2 (* re re)))) (* (log base) (* (* im im) (log base)))) #s(hole binary64 (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))))
#s(approx (+ (* (log im) (* (* im im) (log base))) (* (log base) (* 1/2 (* re re)))) #s(hole binary64 (* (pow im 2) (* (log base) (log im)))))
#s(approx (+ (* (log im) (* (* im im) (log base))) (* (log base) (* 1/2 (* re re)))) #s(hole binary64 (+ (* 1/2 (* (pow re 2) (log base))) (* (pow im 2) (* (log base) (log im))))))
#s(approx (* (log base) (* 1/2 (* re re))) #s(hole binary64 (* 1/2 (* (pow re 2) (log base)))))
#s(approx (* 1/2 (* re re)) #s(hole binary64 (* 1/2 (pow re 2))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (exp (* (log (log base)) 1))) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (log im) (log base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (exp (* (log (log base)) 1))) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (exp (* (log (log base)) 1))) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (exp (* (log (log base)) 1))) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (exp (* (log (log base)) 1))) (* (atan2 im re) 0)) #s(hole binary64 (* (log base) (log im))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (exp (* (log (log base)) 1))) (* (atan2 im re) 0)) #s(hole binary64 (+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im)))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (exp (* (log (log base)) 1))) (* (atan2 im re) 0)) #s(hole binary64 (+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2))))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (exp (* (log (log base)) 1))) (* (atan2 im re) 0)) #s(hole binary64 (+ (* (log base) (log im)) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6))))))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (exp (* (log (log base)) 1))) #s(hole binary64 (* (log base) (log im))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (exp (* (log (log base)) 1))) #s(hole binary64 (+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im)))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (exp (* (log (log base)) 1))) #s(hole binary64 (+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2))))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (exp (* (log (log base)) 1))) #s(hole binary64 (+ (* (log base) (log im)) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6))))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (log im)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 im))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ im (* 1/2 (/ (pow re 2) im)))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im)))))))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (pow im 2)))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (+ (pow im 2) (pow re 2))))
#s(approx (* (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)) (+ (* (/ 1 (pow (log base) -1)) (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)) (+ (* (/ 1 (pow (log base) -1)) (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)) (+ (* (/ 1 (pow (log base) -1)) (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)) (+ (* (/ 1 (pow (log base) -1)) (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 (+ (* im im) (* re re)))) (log base)) 0) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (log im) (log base))))
#s(approx (/ (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 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 (+ (* im im) (* re re)))) (log base)) 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 (+ (* im im) (* re re)))) (log base)) 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)) 0) #s(hole binary64 (* (log base) (log im))))
#s(approx (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) #s(hole binary64 (+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im)))))
#s(approx (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 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 (+ (* im im) (* re re)))) (log base)) 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)) (* (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)))))))
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Calls

9 calls:

Time	Variable		Point	Expression
59.0ms	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) (* (* im im) (log base))) (* (log base) (* 1/2 (* re re)))) (* (log base) (* (* im im) (log base)))) (+ (* (log im) (* (* im im) (log base))) (* (log base) (* 1/2 (* re re)))) (log im) (* (* im im) (log base)) (* im im) (* (log base) (* 1/2 (* re re))) (* 1/2 (* re re)) 1/2 (* re re) (* (log base) (* (* im im) (log base))) (/ (+ (* (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))) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (exp (* (log (log base)) 1)) (* (log (log base)) 1) (log (log base)) 1 (* (atan2 im re) 0) (atan2 im re) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (/ 1 (pow (log base) -1)) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (+ (* (/ 1 (pow (log base) -1)) (log base)) (* 0 0)) (* (/ 1 (pow (log base) -1)) (log base)) (/ 1 (pow (log base) -1)) (pow (log base) -1) -1 (/ (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0))
57.0ms	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) (* (* im im) (log base))) (* (log base) (* 1/2 (* re re)))) (* (log base) (* (* im im) (log base)))) (+ (* (log im) (* (* im im) (log base))) (* (log base) (* 1/2 (* re re)))) (log im) (* (* im im) (log base)) (* im im) (* (log base) (* 1/2 (* re re))) (* 1/2 (* re re)) 1/2 (* re re) (* (log base) (* (* im im) (log base))) (/ (+ (* (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))) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (exp (* (log (log base)) 1)) (* (log (log base)) 1) (log (log base)) 1 (* (atan2 im re) 0) (atan2 im re) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (/ 1 (pow (log base) -1)) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (+ (* (/ 1 (pow (log base) -1)) (log base)) (* 0 0)) (* (/ 1 (pow (log base) -1)) (log base)) (/ 1 (pow (log base) -1)) (pow (log base) -1) -1 (/ (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0))
49.0ms	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) (* (* im im) (log base))) (* (log base) (* 1/2 (* re re)))) (* (log base) (* (* im im) (log base)))) (+ (* (log im) (* (* im im) (log base))) (* (log base) (* 1/2 (* re re)))) (log im) (* (* im im) (log base)) (* im im) (* (log base) (* 1/2 (* re re))) (* 1/2 (* re re)) 1/2 (* re re) (* (log base) (* (* im im) (log base))) (/ (+ (* (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))) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (exp (* (log (log base)) 1)) (* (log (log base)) 1) (log (log base)) 1 (* (atan2 im re) 0) (atan2 im re) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (/ 1 (pow (log base) -1)) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (+ (* (/ 1 (pow (log base) -1)) (log base)) (* 0 0)) (* (/ 1 (pow (log base) -1)) (log base)) (/ 1 (pow (log base) -1)) (pow (log base) -1) -1 (/ (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0))
42.0ms	re	@	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) (* (* im im) (log base))) (* (log base) (* 1/2 (* re re)))) (* (log base) (* (* im im) (log base)))) (+ (* (log im) (* (* im im) (log base))) (* (log base) (* 1/2 (* re re)))) (log im) (* (* im im) (log base)) (* im im) (* (log base) (* 1/2 (* re re))) (* 1/2 (* re re)) 1/2 (* re re) (* (log base) (* (* im im) (log base))) (/ (+ (* (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))) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (exp (* (log (log base)) 1)) (* (log (log base)) 1) (log (log base)) 1 (* (atan2 im re) 0) (atan2 im re) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (/ 1 (pow (log base) -1)) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (+ (* (/ 1 (pow (log base) -1)) (log base)) (* 0 0)) (* (/ 1 (pow (log base) -1)) (log base)) (/ 1 (pow (log base) -1)) (pow (log base) -1) -1 (/ (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0))
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rewrite238.0ms (3.3%)

Memory

-6.4MiB live, 279.2MiB allocated; 57ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	936	17290
0	1028	13930
1	3837	12981
0	8220	12516

Stop Event

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

Counts

484 → 1 002

Calls

Call 1

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

eval134.0ms (1.9%)

Memory: 26.9MiB live, 210.1MiB allocated; 29ms collecting garbage
Compiler: Compiled 44 412 to 3 458 computations (92.2% saved)

prune244.0ms (3.4%)

Memory

7.1MiB live, 377.2MiB allocated; 70ms collecting garbage

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	997	9	1 006
Fresh	3	1	4
Picked	3	2	5
Done	0	0	0
Total	1 003	12	1 015

Accuracy

100.0%

Counts

1 015 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.1%	(/.f64 (fma.f64 (.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) (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) (log.f64 base)) #s(literal 4 binary64)))
	48.9%	(/.f64 (fma.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (log.f64 base))) #s(literal 0 binary64)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
▶	98.9%	(/.f64 (fma.f64 (log.f64 (hypot.f64 im re)) (log.f64 base) #s(literal 0 binary64)) (pow.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal -2 binary64)))
▶	99.1%	(/.f64 (fma.f64 (log.f64 (hypot.f64 im re)) (log.f64 base) #s(literal 0 binary64)) (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (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))))
	49.1%	(/.f64 (fma.f64 (log.f64 (hypot.f64 im re)) (log.f64 base) #s(literal 0 binary64)) (+.f64 (.f64 (log.f64 base) (exp.f64 (-.f64 #s(literal 0 binary64) (.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
▶	98.9%	(/.f64 (/.f64 (fma.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (neg.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) (neg.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) (-.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))))
✓	56.8%	(/.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))))
	83.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (.f64 (.f64 im im) (log.f64 base))) (/.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (.f64 (.f64 im im) (log.f64 base)))) (/.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (.f64 (.f64 im im) (log.f64 base))) (/.f64 (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 im)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (/.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (.f64 (.f64 im im) (log.f64 base)))) (neg.f64 (/.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (.f64 (.f64 im im) (log.f64 base)))) (-.f64 (.f64 (/.f64 (.f64 #s(literal -1 binary64) (log.f64 im)) (.f64 #s(literal -1 binary64) (log.f64 base))) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 im)) (.f64 #s(literal -1 binary64) (log.f64 base)))) (.f64 (/.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (.f64 (.f64 im im) (log.f64 base))) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 im)) (*.f64 #s(literal -1 binary64) (log.f64 base))))))))
▶	55.2%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (fma.f64 (log.f64 im) (.f64 (.f64 im im) (log.f64 base)) (.f64 (log.f64 base) (.f64 #s(literal 1/2 binary64) (.f64 re re)))) (.f64 (log.f64 base) (.f64 im (.f64 im (log.f64 base))))))
	49.0%	#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)) (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (log.f64 base)))))
✓	99.5%	#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)))
▶	46.1%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(approx (/ (+ (* (log im) (* (* im im) (log base))) (* (log base) (* 1/2 (* re re)))) (* (log base) (* (* im im) (log base)))) (fma.f64 (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (.f64 im im) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (.f64 re re) (.f64 (/.f64 (log.f64 im) (.f64 (.f64 re re) (log.f64 base))) (.f64 re re)))))

Compiler

Compiled 1 064 to 549 computations (48.4% saved)

series353.0ms (4.9%)

Memory

10.7MiB live, 482.5MiB allocated; 81ms collecting garbage

Counts

59 → 467

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
87.0ms	re	@	inf	((/ (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (/ (- (pow (* -1 (log base)) 4) 0) (- (pow (log base) 2) 0))) (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) im re (log base) base 0 (/ (- (pow (* -1 (log base)) 4) 0) (- (pow (log base) 2) 0)) (- (pow (* -1 (log base)) 4) 0) (pow (* -1 (log base)) 4) (* -1 (log base)) -1 4 (- (pow (log base) 2) 0) (pow (log base) 2) 2 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (+ (* (log im) (* (* im im) (log base))) (* (log base) (* 1/2 (* re re)))) (* (log base) (* (* im im) (log base)))) (+ (* (* (* (pow (pow (log base) 2) -1/2) (pow (* im im) -1)) 1/2) (* re re)) (* (/ (log im) (* (* re re) (log base))) (* re re))) (* (* (pow (pow (log base) 2) -1/2) (pow (* im im) -1)) 1/2) (* (pow (pow (log base) 2) -1/2) (pow (* im im) -1)) (pow (pow (log base) 2) -1/2) -1/2 (pow (* im im) -1) (* im im) 1/2 (* re re) (* (/ (log im) (* (* re re) (log base))) (* re re)) (/ (log im) (* (* re re) (log base))) (log im) (* (* re re) (log base)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (+ (* (log im) (* (* im im) (log base))) (* (log base) (* 1/2 (* re re)))) (* (log base) (* im (* im (log base))))) (+ (* (log im) (* (* im im) (log base))) (* (log base) (* 1/2 (* re re)))) (* (* im im) (log base)) (* (log base) (* 1/2 (* re re))) (* 1/2 (* re re)) (* (log base) (* im (* im (log base)))) (* im (* im (log base))) (* im (log base)) (/ (/ (+ (* (pow (log (sqrt (+ (* im im) (* re re)))) 3) (pow (log base) 3)) 0) (+ (* (neg (* (log base) (log (sqrt (+ (* im im) (* re re)))))) (neg (* (log base) (log (sqrt (+ (* im im) (* re re))))))) (- 0 (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) 0)))) (+ (* (log base) (log base)) (* 0 0))) (/ (+ (* (pow (log (sqrt (+ (* im im) (* re re)))) 3) (pow (log base) 3)) 0) (+ (* (neg (* (log base) (log (sqrt (+ (* im im) (* re re)))))) (neg (* (log base) (log (sqrt (+ (* im im) (* re re))))))) (- 0 (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) 0)))) (+ (* (pow (log (sqrt (+ (* im im) (* re re)))) 3) (pow (log base) 3)) 0) (pow (log (sqrt (+ (* im im) (* re re)))) 3) 3 (pow (log base) 3) (+ (* (neg (* (log base) (log (sqrt (+ (* im im) (* re re)))))) (neg (* (log base) (log (sqrt (+ (* im im) (* re re))))))) (- 0 (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) 0))) (neg (* (log base) (log (sqrt (+ (* im im) (* re re)))))) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (- 0 (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) 0)) (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) 0) (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) (/ (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (pow (pow (pow (log base) 2) -1/2) -2)) (pow (pow (pow (log base) 2) -1/2) -2) -2)
41.0ms	re	@	0	((/ (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (/ (- (pow (* -1 (log base)) 4) 0) (- (pow (log base) 2) 0))) (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) im re (log base) base 0 (/ (- (pow (* -1 (log base)) 4) 0) (- (pow (log base) 2) 0)) (- (pow (* -1 (log base)) 4) 0) (pow (* -1 (log base)) 4) (* -1 (log base)) -1 4 (- (pow (log base) 2) 0) (pow (log base) 2) 2 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (+ (* (log im) (* (* im im) (log base))) (* (log base) (* 1/2 (* re re)))) (* (log base) (* (* im im) (log base)))) (+ (* (* (* (pow (pow (log base) 2) -1/2) (pow (* im im) -1)) 1/2) (* re re)) (* (/ (log im) (* (* re re) (log base))) (* re re))) (* (* (pow (pow (log base) 2) -1/2) (pow (* im im) -1)) 1/2) (* (pow (pow (log base) 2) -1/2) (pow (* im im) -1)) (pow (pow (log base) 2) -1/2) -1/2 (pow (* im im) -1) (* im im) 1/2 (* re re) (* (/ (log im) (* (* re re) (log base))) (* re re)) (/ (log im) (* (* re re) (log base))) (log im) (* (* re re) (log base)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (+ (* (log im) (* (* im im) (log base))) (* (log base) (* 1/2 (* re re)))) (* (log base) (* im (* im (log base))))) (+ (* (log im) (* (* im im) (log base))) (* (log base) (* 1/2 (* re re)))) (* (* im im) (log base)) (* (log base) (* 1/2 (* re re))) (* 1/2 (* re re)) (* (log base) (* im (* im (log base)))) (* im (* im (log base))) (* im (log base)) (/ (/ (+ (* (pow (log (sqrt (+ (* im im) (* re re)))) 3) (pow (log base) 3)) 0) (+ (* (neg (* (log base) (log (sqrt (+ (* im im) (* re re)))))) (neg (* (log base) (log (sqrt (+ (* im im) (* re re))))))) (- 0 (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) 0)))) (+ (* (log base) (log base)) (* 0 0))) (/ (+ (* (pow (log (sqrt (+ (* im im) (* re re)))) 3) (pow (log base) 3)) 0) (+ (* (neg (* (log base) (log (sqrt (+ (* im im) (* re re)))))) (neg (* (log base) (log (sqrt (+ (* im im) (* re re))))))) (- 0 (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) 0)))) (+ (* (pow (log (sqrt (+ (* im im) (* re re)))) 3) (pow (log base) 3)) 0) (pow (log (sqrt (+ (* im im) (* re re)))) 3) 3 (pow (log base) 3) (+ (* (neg (* (log base) (log (sqrt (+ (* im im) (* re re)))))) (neg (* (log base) (log (sqrt (+ (* im im) (* re re))))))) (- 0 (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) 0))) (neg (* (log base) (log (sqrt (+ (* im im) (* re re)))))) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (- 0 (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) 0)) (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) 0) (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) (/ (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (pow (pow (pow (log base) 2) -1/2) -2)) (pow (pow (pow (log base) 2) -1/2) -2) -2)
41.0ms	base	@	-inf	((/ (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (/ (- (pow (* -1 (log base)) 4) 0) (- (pow (log base) 2) 0))) (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) im re (log base) base 0 (/ (- (pow (* -1 (log base)) 4) 0) (- (pow (log base) 2) 0)) (- (pow (* -1 (log base)) 4) 0) (pow (* -1 (log base)) 4) (* -1 (log base)) -1 4 (- (pow (log base) 2) 0) (pow (log base) 2) 2 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (+ (* (log im) (* (* im im) (log base))) (* (log base) (* 1/2 (* re re)))) (* (log base) (* (* im im) (log base)))) (+ (* (* (* (pow (pow (log base) 2) -1/2) (pow (* im im) -1)) 1/2) (* re re)) (* (/ (log im) (* (* re re) (log base))) (* re re))) (* (* (pow (pow (log base) 2) -1/2) (pow (* im im) -1)) 1/2) (* (pow (pow (log base) 2) -1/2) (pow (* im im) -1)) (pow (pow (log base) 2) -1/2) -1/2 (pow (* im im) -1) (* im im) 1/2 (* re re) (* (/ (log im) (* (* re re) (log base))) (* re re)) (/ (log im) (* (* re re) (log base))) (log im) (* (* re re) (log base)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (+ (* (log im) (* (* im im) (log base))) (* (log base) (* 1/2 (* re re)))) (* (log base) (* im (* im (log base))))) (+ (* (log im) (* (* im im) (log base))) (* (log base) (* 1/2 (* re re)))) (* (* im im) (log base)) (* (log base) (* 1/2 (* re re))) (* 1/2 (* re re)) (* (log base) (* im (* im (log base)))) (* im (* im (log base))) (* im (log base)) (/ (/ (+ (* (pow (log (sqrt (+ (* im im) (* re re)))) 3) (pow (log base) 3)) 0) (+ (* (neg (* (log base) (log (sqrt (+ (* im im) (* re re)))))) (neg (* (log base) (log (sqrt (+ (* im im) (* re re))))))) (- 0 (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) 0)))) (+ (* (log base) (log base)) (* 0 0))) (/ (+ (* (pow (log (sqrt (+ (* im im) (* re re)))) 3) (pow (log base) 3)) 0) (+ (* (neg (* (log base) (log (sqrt (+ (* im im) (* re re)))))) (neg (* (log base) (log (sqrt (+ (* im im) (* re re))))))) (- 0 (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) 0)))) (+ (* (pow (log (sqrt (+ (* im im) (* re re)))) 3) (pow (log base) 3)) 0) (pow (log (sqrt (+ (* im im) (* re re)))) 3) 3 (pow (log base) 3) (+ (* (neg (* (log base) (log (sqrt (+ (* im im) (* re re)))))) (neg (* (log base) (log (sqrt (+ (* im im) (* re re))))))) (- 0 (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) 0))) (neg (* (log base) (log (sqrt (+ (* im im) (* re re)))))) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (- 0 (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) 0)) (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) 0) (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) (/ (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (pow (pow (pow (log base) 2) -1/2) -2)) (pow (pow (pow (log base) 2) -1/2) -2) -2)
35.0ms	im	@	0	((/ (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (/ (- (pow (* -1 (log base)) 4) 0) (- (pow (log base) 2) 0))) (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) im re (log base) base 0 (/ (- (pow (* -1 (log base)) 4) 0) (- (pow (log base) 2) 0)) (- (pow (* -1 (log base)) 4) 0) (pow (* -1 (log base)) 4) (* -1 (log base)) -1 4 (- (pow (log base) 2) 0) (pow (log base) 2) 2 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (+ (* (log im) (* (* im im) (log base))) (* (log base) (* 1/2 (* re re)))) (* (log base) (* (* im im) (log base)))) (+ (* (* (* (pow (pow (log base) 2) -1/2) (pow (* im im) -1)) 1/2) (* re re)) (* (/ (log im) (* (* re re) (log base))) (* re re))) (* (* (pow (pow (log base) 2) -1/2) (pow (* im im) -1)) 1/2) (* (pow (pow (log base) 2) -1/2) (pow (* im im) -1)) (pow (pow (log base) 2) -1/2) -1/2 (pow (* im im) -1) (* im im) 1/2 (* re re) (* (/ (log im) (* (* re re) (log base))) (* re re)) (/ (log im) (* (* re re) (log base))) (log im) (* (* re re) (log base)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (+ (* (log im) (* (* im im) (log base))) (* (log base) (* 1/2 (* re re)))) (* (log base) (* im (* im (log base))))) (+ (* (log im) (* (* im im) (log base))) (* (log base) (* 1/2 (* re re)))) (* (* im im) (log base)) (* (log base) (* 1/2 (* re re))) (* 1/2 (* re re)) (* (log base) (* im (* im (log base)))) (* im (* im (log base))) (* im (log base)) (/ (/ (+ (* (pow (log (sqrt (+ (* im im) (* re re)))) 3) (pow (log base) 3)) 0) (+ (* (neg (* (log base) (log (sqrt (+ (* im im) (* re re)))))) (neg (* (log base) (log (sqrt (+ (* im im) (* re re))))))) (- 0 (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) 0)))) (+ (* (log base) (log base)) (* 0 0))) (/ (+ (* (pow (log (sqrt (+ (* im im) (* re re)))) 3) (pow (log base) 3)) 0) (+ (* (neg (* (log base) (log (sqrt (+ (* im im) (* re re)))))) (neg (* (log base) (log (sqrt (+ (* im im) (* re re))))))) (- 0 (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) 0)))) (+ (* (pow (log (sqrt (+ (* im im) (* re re)))) 3) (pow (log base) 3)) 0) (pow (log (sqrt (+ (* im im) (* re re)))) 3) 3 (pow (log base) 3) (+ (* (neg (* (log base) (log (sqrt (+ (* im im) (* re re)))))) (neg (* (log base) (log (sqrt (+ (* im im) (* re re))))))) (- 0 (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) 0))) (neg (* (log base) (log (sqrt (+ (* im im) (* re re)))))) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (- 0 (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) 0)) (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) 0) (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) (/ (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (pow (pow (pow (log base) 2) -1/2) -2)) (pow (pow (pow (log base) 2) -1/2) -2) -2)
33.0ms	base	@	inf	((/ (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (/ (- (pow (* -1 (log base)) 4) 0) (- (pow (log base) 2) 0))) (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) im re (log base) base 0 (/ (- (pow (* -1 (log base)) 4) 0) (- (pow (log base) 2) 0)) (- (pow (* -1 (log base)) 4) 0) (pow (* -1 (log base)) 4) (* -1 (log base)) -1 4 (- (pow (log base) 2) 0) (pow (log base) 2) 2 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (+ (* (log im) (* (* im im) (log base))) (* (log base) (* 1/2 (* re re)))) (* (log base) (* (* im im) (log base)))) (+ (* (* (* (pow (pow (log base) 2) -1/2) (pow (* im im) -1)) 1/2) (* re re)) (* (/ (log im) (* (* re re) (log base))) (* re re))) (* (* (pow (pow (log base) 2) -1/2) (pow (* im im) -1)) 1/2) (* (pow (pow (log base) 2) -1/2) (pow (* im im) -1)) (pow (pow (log base) 2) -1/2) -1/2 (pow (* im im) -1) (* im im) 1/2 (* re re) (* (/ (log im) (* (* re re) (log base))) (* re re)) (/ (log im) (* (* re re) (log base))) (log im) (* (* re re) (log base)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (+ (* (log im) (* (* im im) (log base))) (* (log base) (* 1/2 (* re re)))) (* (log base) (* im (* im (log base))))) (+ (* (log im) (* (* im im) (log base))) (* (log base) (* 1/2 (* re re)))) (* (* im im) (log base)) (* (log base) (* 1/2 (* re re))) (* 1/2 (* re re)) (* (log base) (* im (* im (log base)))) (* im (* im (log base))) (* im (log base)) (/ (/ (+ (* (pow (log (sqrt (+ (* im im) (* re re)))) 3) (pow (log base) 3)) 0) (+ (* (neg (* (log base) (log (sqrt (+ (* im im) (* re re)))))) (neg (* (log base) (log (sqrt (+ (* im im) (* re re))))))) (- 0 (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) 0)))) (+ (* (log base) (log base)) (* 0 0))) (/ (+ (* (pow (log (sqrt (+ (* im im) (* re re)))) 3) (pow (log base) 3)) 0) (+ (* (neg (* (log base) (log (sqrt (+ (* im im) (* re re)))))) (neg (* (log base) (log (sqrt (+ (* im im) (* re re))))))) (- 0 (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) 0)))) (+ (* (pow (log (sqrt (+ (* im im) (* re re)))) 3) (pow (log base) 3)) 0) (pow (log (sqrt (+ (* im im) (* re re)))) 3) 3 (pow (log base) 3) (+ (* (neg (* (log base) (log (sqrt (+ (* im im) (* re re)))))) (neg (* (log base) (log (sqrt (+ (* im im) (* re re))))))) (- 0 (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) 0))) (neg (* (log base) (log (sqrt (+ (* im im) (* re re)))))) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (- 0 (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) 0)) (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) 0) (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) (/ (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (pow (pow (pow (log base) 2) -1/2) -2)) (pow (pow (pow (log base) 2) -1/2) -2) -2)

rewrite260.0ms (3.6%)

Memory

12.8MiB live, 326.9MiB allocated; 63ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1590	22666
0	1704	18114
0	8470	17560

Stop Event

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

Counts

526 → 793

Calls

Call 1

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

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

eval276.0ms (3.8%)

Memory: 16.6MiB live, 320.9MiB allocated; 177ms collecting garbage
Compiler: Compiled 88 307 to 5 182 computations (94.1% saved)

prune344.0ms (4.8%)

Memory

-6.1MiB live, 462.3MiB allocated; 70ms collecting garbage

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	1 350	4	1 354
Fresh	2	3	5
Picked	1	4	5
Done	1	1	2
Total	1 354	12	1 366

Accuracy

100.0%

Counts

1 366 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.1%	(/.f64 (fma.f64 (.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) (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) (log.f64 base)) #s(literal 4 binary64)))
	48.9%	(/.f64 (fma.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (log.f64 base))) #s(literal 0 binary64)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
▶	99.2%	(/.f64 (fma.f64 (log.f64 (hypot.f64 im re)) (log.f64 base) #s(literal 0 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1 binary64)))
▶	98.5%	(/.f64 (fma.f64 (log.f64 (hypot.f64 im re)) (log.f64 base) #s(literal 0 binary64)) (pow.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/4 binary64))) #s(literal -2 binary64)))
▶	98.7%	(/.f64 (fma.f64 (log.f64 (hypot.f64 im re)) (log.f64 base) #s(literal 0 binary64)) (/.f64 (-.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal 1 binary64) (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))))))
✓	99.1%	(/.f64 (fma.f64 (log.f64 (hypot.f64 im re)) (log.f64 base) #s(literal 0 binary64)) (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))
✓	98.9%	(/.f64 (/.f64 (fma.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (neg.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) (neg.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) (-.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))))
▶	99.0%	(/.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)) #s(literal 0 binary64))))) (fma.f64 (neg.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) (neg.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) (-.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))))
✓	55.2%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (fma.f64 (log.f64 im) (.f64 (.f64 im im) (log.f64 base)) (.f64 (log.f64 base) (.f64 #s(literal 1/2 binary64) (.f64 re re)))) (.f64 (log.f64 base) (.f64 im (.f64 im (log.f64 base))))))
▶	49.0%	#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)) (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (log.f64 base)))))
✓	99.5%	#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)))
✓	46.1%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(approx (/ (+ (* (log im) (* (* im im) (log base))) (* (log base) (* 1/2 (* re re)))) (* (log base) (* (* im im) (log base)))) (fma.f64 (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (.f64 im im) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (.f64 re re) (.f64 (/.f64 (log.f64 im) (.f64 (.f64 re re) (log.f64 base))) (.f64 re re)))))

Compiler

Compiled 744 to 418 computations (43.8% saved)

series417.0ms (5.8%)

Memory

8.4MiB live, 586.4MiB allocated; 147ms collecting garbage

Counts

55 → 632

Calls

Call 1

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

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

9 calls:

Time	Variable		Point	Expression
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60.0ms	base	@	inf	((/ (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (pow (pow (log base) 2) 1)) (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) im re (log base) base 0 (pow (pow (log base) 2) 1) (pow (log base) 2) 2 1 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (pow (exp 1) (log (log base)))) (pow (exp 1) (log (log base))) (exp 1) (log (log base)) (/ (/ (/ (+ (pow (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) 3) 0) (+ (* (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3)) (- 0 (* (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) 0)))) (+ (* (neg (* (log base) (log (sqrt (+ (* im im) (* re re)))))) (neg (* (log base) (log (sqrt (+ (* im im) (* re re))))))) (- 0 (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) 0)))) (+ (* (log base) (log base)) (* 0 0))) (/ (/ (+ (pow (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) 3) 0) (+ (* (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3)) (- 0 (* (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) 0)))) (+ (* (neg (* (log base) (log (sqrt (+ (* im im) (* re re)))))) (neg (* (log base) (log (sqrt (+ (* im im) (* re re))))))) (- 0 (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) 0)))) (/ (+ (pow (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) 3) 0) (+ (* (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3)) (- 0 (* (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) 0)))) (+ (pow (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) 3) 0) (pow (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) 3) (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) 3 (+ (* (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3)) (- 0 (* (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) 0))) (* (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3)) (- 0 (* (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) 0)) (* (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) 0) (+ (* (neg (* (log base) (log (sqrt (+ (* im im) (* re re)))))) (neg (* (log base) (log (sqrt (+ (* im im) (* re re))))))) (- 0 (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) 0))) (neg (* (log base) (log (sqrt (+ (* im im) (* re re)))))) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (- 0 (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) 0)) (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) 0) (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) (/ (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (/ (- (pow (pow (log base) 2) 3) 0) (+ (* 1 (pow (log base) 4)) (+ 0 (* (pow (log base) 2) 0))))) (/ (- (pow (pow (log base) 2) 3) 0) (+ (* 1 (pow (log base) 4)) (+ 0 (* (pow (log base) 2) 0)))) (- (pow (pow (log base) 2) 3) 0) (pow (pow (log base) 2) 3) (+ (* 1 (pow (log base) 4)) (+ 0 (* (pow (log base) 2) 0))) (pow (log base) 4) 4 (+ 0 (* (pow (log base) 2) 0)) (* (pow (log base) 2) 0) (/ (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (pow (* (pow (pow (log base) 2) -1/4) (pow (pow (log base) 2) -1/4)) -2)) (pow (* (pow (pow (log base) 2) -1/4) (pow (pow (log base) 2) -1/4)) -2) (* (pow (pow (log base) 2) -1/4) (pow (pow (log base) 2) -1/4)) (pow (pow (log base) 2) -1/4) -1/4 -2)
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51.0ms	base	@	-inf	((/ (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (pow (pow (log base) 2) 1)) (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) im re (log base) base 0 (pow (pow (log base) 2) 1) (pow (log base) 2) 2 1 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (pow (exp 1) (log (log base)))) (pow (exp 1) (log (log base))) (exp 1) (log (log base)) (/ (/ (/ (+ (pow (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) 3) 0) (+ (* (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3)) (- 0 (* (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) 0)))) (+ (* (neg (* (log base) (log (sqrt (+ (* im im) (* re re)))))) (neg (* (log base) (log (sqrt (+ (* im im) (* re re))))))) (- 0 (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) 0)))) (+ (* (log base) (log base)) (* 0 0))) (/ (/ (+ (pow (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) 3) 0) (+ (* (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3)) (- 0 (* (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) 0)))) (+ (* (neg (* (log base) (log (sqrt (+ (* im im) (* re re)))))) (neg (* (log base) (log (sqrt (+ (* im im) (* re re))))))) (- 0 (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) 0)))) (/ (+ (pow (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) 3) 0) (+ (* (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3)) (- 0 (* (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) 0)))) (+ (pow (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) 3) 0) (pow (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) 3) (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) 3 (+ (* (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3)) (- 0 (* (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) 0))) (* (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3)) (- 0 (* (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) 0)) (* (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) 0) (+ (* (neg (* (log base) (log (sqrt (+ (* im im) (* re re)))))) (neg (* (log base) (log (sqrt (+ (* im im) (* re re))))))) (- 0 (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) 0))) (neg (* (log base) (log (sqrt (+ (* im im) (* re re)))))) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (- 0 (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) 0)) (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) 0) (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) (/ (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (/ (- (pow (pow (log base) 2) 3) 0) (+ (* 1 (pow (log base) 4)) (+ 0 (* (pow (log base) 2) 0))))) (/ (- (pow (pow (log base) 2) 3) 0) (+ (* 1 (pow (log base) 4)) (+ 0 (* (pow (log base) 2) 0)))) (- (pow (pow (log base) 2) 3) 0) (pow (pow (log base) 2) 3) (+ (* 1 (pow (log base) 4)) (+ 0 (* (pow (log base) 2) 0))) (pow (log base) 4) 4 (+ 0 (* (pow (log base) 2) 0)) (* (pow (log base) 2) 0) (/ (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (pow (* (pow (pow (log base) 2) -1/4) (pow (pow (log base) 2) -1/4)) -2)) (pow (* (pow (pow (log base) 2) -1/4) (pow (pow (log base) 2) -1/4)) -2) (* (pow (pow (log base) 2) -1/4) (pow (pow (log base) 2) -1/4)) (pow (pow (log base) 2) -1/4) -1/4 -2)
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rewrite336.0ms (4.7%)

Memory

2.6MiB live, 427.4MiB allocated; 70ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2056	42881
0	2160	38508
0	8084	36970

Stop Event

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

Counts

687 → 853

Calls

Call 1

Inputs
(/.f64 (fma.f64 (log.f64 (hypot.f64 im re)) (log.f64 base) #s(literal 0 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (log.f64 (hypot.f64 im re)) (log.f64 base) #s(literal 0 binary64))
(log.f64 (hypot.f64 im re))
(hypot.f64 im re)
im
re
(log.f64 base)
base
#s(literal 0 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))
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (log.f64 base)))))
(/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (log.f64 base))))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (log.f64 base)))
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#s(approx (pow (log base) 2) #s(hole binary64 (pow (+ (log -1) (* -1 (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 (+ (* im im) (* re re)))) (pow (exp 1) (log (log base)))) #s(hole binary64 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (pow (exp 1) (log (log base))) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 base))))))
#s(approx (log (log base)) #s(hole binary64 (log (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (/ (/ (+ (pow (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) 3) 0) (+ (* (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3)) (- 0 (* (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) 0)))) (+ (* (neg (* (log base) (log (sqrt (+ (* im im) (* re re)))))) (neg (* (log base) (log (sqrt (+ (* im im) (* re re))))))) (- 0 (* (* (log base) (log (sqrt (+ (* im im) (* re 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 (/ (/ (+ (pow (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) 3) 0) (+ (* (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3)) (- 0 (* (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) 0)))) (+ (* (neg (* (log base) (log (sqrt (+ (* im im) (* re re)))))) (neg (* (log base) (log (sqrt (+ (* im im) (* re re))))))) (- 0 (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) 0)))) #s(hole binary64 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (+ (pow (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) 3) 0) (+ (* (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3)) (- 0 (* (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) 0)))) #s(hole binary64 (* (pow (log (sqrt (+ (pow im 2) (pow re 2)))) 3) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3))))
#s(approx (+ (pow (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) 3) 0) #s(hole binary64 (* (pow (log (sqrt (+ (pow im 2) (pow re 2)))) 9) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 9))))
#s(approx (pow (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) 3) #s(hole binary64 (* (pow (log (sqrt (+ (pow im 2) (pow re 2)))) 9) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 9))))
#s(approx (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) #s(hole binary64 (* (pow (log (sqrt (+ (pow im 2) (pow re 2)))) 3) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3))))
#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 (sqrt (+ (* re re) (* im im)))) (log base)) 3) (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3)) (- 0 (* (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) 0))) #s(hole binary64 (* (pow (log (sqrt (+ (pow im 2) (pow re 2)))) 6) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 6))))
#s(approx (* (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3)) #s(hole binary64 (* (pow (log (sqrt (+ (pow im 2) (pow re 2)))) 6) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 6))))
#s(approx (+ (* (neg (* (log base) (log (sqrt (+ (* im im) (* re re)))))) (neg (* (log base) (log (sqrt (+ (* im im) (* re re))))))) (- 0 (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) 0))) #s(hole binary64 (* (pow (log (sqrt (+ (pow im 2) (pow re 2)))) 2) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))))
#s(approx (neg (* (log base) (log (sqrt (+ (* im im) (* re re)))))) #s(hole binary64 (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))))))
#s(approx (* (log base) (log (sqrt (+ (* im im) (* re re))))) #s(hole binary64 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (+ (* (log base) (log base)) (* 0 0)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (/ (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (/ (- (pow (pow (log base) 2) 3) 0) (+ (* 1 (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 (/ (- (pow (pow (log base) 2) 3) 0) (+ (* 1 (pow (log base) 4)) (+ 0 (* (pow (log base) 2) 0)))) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (- (pow (pow (log base) 2) 3) 0) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 6)))
#s(approx (pow (pow (log base) 2) 3) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 6)))
#s(approx (+ (* 1 (pow (log base) 4)) (+ 0 (* (pow (log base) 2) 0))) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)))
#s(approx (/ (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (pow (* (pow (pow (log base) 2) -1/4) (pow (pow (log base) 2) -1/4)) -2)) #s(hole binary64 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (pow (* (pow (pow (log base) 2) -1/4) (pow (pow (log base) 2) -1/4)) -2) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (* (pow (pow (log base) 2) -1/4) (pow (pow (log base) 2) -1/4)) #s(hole binary64 (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (pow (pow (log base) 2) -1/4) #s(hole binary64 (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 base))))))))

Outputs
(/.f64 (neg.f64 (fma.f64 (log.f64 (hypot.f64 im re)) (log.f64 base) #s(literal 0 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (fma.f64 (log.f64 (hypot.f64 im re)) (log.f64 base) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
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(/.f64 (-.f64 (.f64 (.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) (.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))) #s(literal 0 binary64)) (-.f64 (.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) #s(literal 0 binary64)))
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(fma.f64 (log.f64 (hypot.f64 im re)) (log.f64 base) #s(literal 0 binary64))
(+.f64 (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) #s(literal 0 binary64))
(log.f64 (hypot.f64 im re))
(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 (pow.f64 im #s(literal 1 binary64)) (pow.f64 re #s(literal 1 binary64)))
(hypot.f64 (pow.f64 im #s(literal 1 binary64)) (neg.f64 re))
(hypot.f64 (pow.f64 im #s(literal 1 binary64)) (fabs.f64 re))
(hypot.f64 (pow.f64 im #s(literal 1 binary64)) re)
(hypot.f64 (neg.f64 im) (pow.f64 re #s(literal 1 binary64)))
(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 im) (pow.f64 re #s(literal 1 binary64)))
(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 (pow.f64 re #s(literal 1 binary64)))
(hypot.f64 im (neg.f64 re))
(hypot.f64 im (fabs.f64 re))
(hypot.f64 im re)
im
re
(log.f64 base)
base
#s(literal 0 binary64)
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 1 binary64)))
(*.f64 (fabs.f64 (log.f64 base)) (fabs.f64 (log.f64 base)))
(*.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(*.f64 (log.f64 base) (log.f64 base))
(pow.f64 (-.f64 #s(literal 0 binary64) (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))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) (log.f64 base))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))
(log.f64 (pow.f64 base (log.f64 base)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 1 binary64)))
(*.f64 (fabs.f64 (log.f64 base)) (fabs.f64 (log.f64 base)))
(*.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(*.f64 (log.f64 base) (log.f64 base))
(pow.f64 (-.f64 #s(literal 0 binary64) (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))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) (log.f64 base))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))
(log.f64 (pow.f64 base (log.f64 base)))
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (E.f64) (log.f64 (log.f64 base)))))
(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (neg.f64 (pow.f64 (E.f64) (log.f64 (log.f64 base)))))
(/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (E.f64) (log.f64 (log.f64 base))))
(*.f64 (pow.f64 (E.f64) (/.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))) (pow.f64 (E.f64) (/.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))))
(pow.f64 (E.f64) (log.f64 (log.f64 base)))
(exp.f64 (*.f64 #s(literal 1 binary64) (log.f64 (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (E.f64)) (log.f64 (log.f64 base))))
(E.f64)
(log.f64 (log.f64 base))
(/.f64 (neg.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (neg.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64))) (neg.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)) #s(literal 0 binary64))))) (fma.f64 (neg.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) (neg.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 0 binary64)))))) (neg.f64 (fma.f64 (log.f64 base) (log.f64 base) #s(literal 0 binary64))))
(/.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (neg.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64))) (neg.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)) #s(literal 0 binary64))))) (fma.f64 (neg.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) (neg.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) (-.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 base) #s(literal 0 binary64)))
(/.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (neg.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64))) (neg.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)) #s(literal 0 binary64)))))) (neg.f64 (fma.f64 (neg.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) (neg.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 0 binary64))))))
(/.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (neg.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64))) (neg.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)) #s(literal 0 binary64))))) (fma.f64 (neg.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) (neg.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)) #s(literal 0 binary64))) (neg.f64 (fma.f64 (neg.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64))) (neg.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)) #s(literal 0 binary64))))))
(/.f64 (fma.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (neg.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64))) (neg.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)) #s(literal 0 binary64)))))
(+.f64 (/.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 9 binary64)) (fma.f64 (neg.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64))) (neg.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)) #s(literal 0 binary64))))) (/.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64))) (neg.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)) #s(literal 0 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 9 binary64)) (pow.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 9 binary64))) #s(literal 0 binary64)) (-.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 9 binary64)) #s(literal 0 binary64)))
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(fma.f64 (pow.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)) #s(literal 3/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 6 binary64)) #s(literal 0 binary64))
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#s(approx (+ (* (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3)) (- 0 (* (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) 0))) (pow.f64 (*.f64 (log.f64 (hypot.f64 im re)) (-.f64 #s(literal 0 binary64) (log.f64 base))) #s(literal 6 binary64)))
#s(approx (* (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3)) (pow.f64 (*.f64 (log.f64 (hypot.f64 im re)) (-.f64 #s(literal 0 binary64) (log.f64 base))) #s(literal 6 binary64)))
#s(approx (+ (* (neg (* (log base) (log (sqrt (+ (* im im) (* re re)))))) (neg (* (log base) (log (sqrt (+ (* im im) (* re re))))))) (- 0 (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) 0))) (pow.f64 (*.f64 (log.f64 (hypot.f64 im re)) (-.f64 #s(literal 0 binary64) (log.f64 base))) #s(literal 2 binary64)))
#s(approx (neg (* (log base) (log (sqrt (+ (* im im) (* re re)))))) (*.f64 (log.f64 (hypot.f64 im re)) (-.f64 #s(literal 0 binary64) (log.f64 base))))
#s(approx (* (log base) (log (sqrt (+ (* im im) (* re re))))) (.f64 #s(literal -1 binary64) (.f64 (log.f64 (hypot.f64 im re)) (-.f64 #s(literal 0 binary64) (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)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (/ (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (/ (- (pow (pow (log base) 2) 3) 0) (+ (* 1 (pow (log base) 4)) (+ 0 (* (pow (log base) 2) 0))))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (hypot.f64 im re)) (-.f64 #s(literal 0 binary64) (log.f64 base)))))
#s(approx (/ (- (pow (pow (log base) 2) 3) 0) (+ (* 1 (pow (log base) 4)) (+ 0 (* (pow (log base) 2) 0)))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (- (pow (pow (log base) 2) 3) 0) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) #s(literal 6 binary64)))
#s(approx (pow (pow (log base) 2) 3) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) #s(literal 6 binary64)))
#s(approx (+ (* 1 (pow (log base) 4)) (+ 0 (* (pow (log base) 2) 0))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
#s(approx (pow (log base) 4) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
#s(approx (/ (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (pow (* (pow (pow (log base) 2) -1/4) (pow (pow (log base) 2) -1/4)) -2)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (hypot.f64 im re)) (-.f64 #s(literal 0 binary64) (log.f64 base)))))
#s(approx (pow (* (pow (pow (log base) 2) -1/4) (pow (pow (log base) 2) -1/4)) -2) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (* (pow (pow (log base) 2) -1/4) (pow (pow (log base) 2) -1/4)) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
#s(approx (pow (pow (log base) 2) -1/4) (*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (pow (pow (log base) 2) 1)) (/.f64 (log.f64 (hypot.f64 im re)) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64))))))
#s(approx (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (*.f64 (log.f64 (hypot.f64 im re)) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64))))))
#s(approx (log base) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)))))
#s(approx (* (log base) (log base)) (*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)))) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64))))))
#s(approx (* (log base) (log base)) (*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)))) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) 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 (hypot.f64 im re)) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64))))))
#s(approx (/ (log (sqrt (+ (* im im) (* re re)))) (pow (exp 1) (log (log base)))) (/.f64 (log.f64 (hypot.f64 im re)) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64))))))
#s(approx (pow (exp 1) (log (log base))) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)))))
#s(approx (log (log base)) (log.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64))))))
#s(approx (/ (/ (/ (+ (pow (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) 3) 0) (+ (* (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3)) (- 0 (* (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) 0)))) (+ (* (neg (* (log base) (log (sqrt (+ (* im im) (* re re)))))) (neg (* (log base) (log (sqrt (+ (* im im) (* re re))))))) (- 0 (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) 0)))) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64))))))
#s(approx (/ (/ (+ (pow (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) 3) 0) (+ (* (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3)) (- 0 (* (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) 0)))) (+ (* (neg (* (log base) (log (sqrt (+ (* im im) (* re re)))))) (neg (* (log base) (log (sqrt (+ (* im im) (* re re))))))) (- 0 (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) 0)))) (*.f64 (log.f64 (hypot.f64 im re)) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64))))))
#s(approx (/ (+ (pow (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) 3) 0) (+ (* (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3)) (- 0 (* (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) 0)))) (.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 3 binary64)) (.f64 (*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)))) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64))))) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)))))))
#s(approx (+ (pow (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) 3) 0) (*.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 9 binary64)) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)))) #s(literal 9 binary64))))
#s(approx (pow (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) 3) (*.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 9 binary64)) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)))) #s(literal 9 binary64))))
#s(approx (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) (.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 3 binary64)) (.f64 (*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)))) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64))))) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (*.f64 (log.f64 (hypot.f64 im re)) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64))))))
#s(approx (+ (* (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3)) (- 0 (* (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) 0))) (*.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 6 binary64)) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)))) #s(literal 6 binary64))))
#s(approx (* (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3) (pow (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 3)) (*.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 6 binary64)) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)))) #s(literal 6 binary64))))
#s(approx (+ (* (neg (* (log base) (log (sqrt (+ (* im im) (* re re)))))) (neg (* (log base) (log (sqrt (+ (* im im) (* re re))))))) (- 0 (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) 0))) (.f64 (.f64 (log.f64 (hypot.f64 im re)) (log.f64 (hypot.f64 im re))) (*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)))) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)))))))
#s(approx (neg (* (log base) (log (sqrt (+ (* im im) (* re re)))))) (.f64 #s(literal -1 binary64) (.f64 (log.f64 (hypot.f64 im re)) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)))))))
#s(approx (* (log base) (log (sqrt (+ (* im im) (* re re))))) (*.f64 (log.f64 (hypot.f64 im re)) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64))))))
#s(approx (+ (* (log base) (log base)) (* 0 0)) (*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)))) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64))))))
#s(approx (* (log base) (log base)) (*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)))) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64))))))
#s(approx (/ (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (/ (- (pow (pow (log base) 2) 3) 0) (+ (* 1 (pow (log base) 4)) (+ 0 (* (pow (log base) 2) 0))))) (/.f64 (log.f64 (hypot.f64 im re)) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64))))))
#s(approx (/ (- (pow (pow (log base) 2) 3) 0) (+ (* 1 (pow (log base) 4)) (+ 0 (* (pow (log base) 2) 0)))) (*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)))) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64))))))
#s(approx (- (pow (pow (log base) 2) 3) 0) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)))) #s(literal 6 binary64)))
#s(approx (pow (pow (log base) 2) 3) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)))) #s(literal 6 binary64)))
#s(approx (+ (* 1 (pow (log base) 4)) (+ 0 (* (pow (log base) 2) 0))) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)))) #s(literal 4 binary64)))
#s(approx (pow (log base) 4) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)))) #s(literal 4 binary64)))
#s(approx (/ (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (pow (* (pow (pow (log base) 2) -1/4) (pow (pow (log base) 2) -1/4)) -2)) (/.f64 (log.f64 (hypot.f64 im re)) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64))))))
#s(approx (pow (* (pow (pow (log base) 2) -1/4) (pow (pow (log base) 2) -1/4)) -2) (*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)))) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64))))))
#s(approx (* (pow (pow (log base) 2) -1/4) (pow (pow (log base) 2) -1/4)) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)))) #s(literal -1 binary64)))
#s(approx (pow (pow (log base) 2) -1/4) (pow.f64 (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))

eval410.0ms (5.7%)

Memory: 17.0MiB live, 523.0MiB allocated; 81ms collecting garbage
Compiler: Compiled 184 988 to 8 020 computations (95.7% saved)

prune488.0ms (6.8%)

Memory

-27.9MiB live, 698.0MiB allocated; 80ms collecting garbage

Pruning

12 alts after pruning (2 fresh and 10 done)

	Pruned	Kept	Total
New	1 911	0	1 911
Fresh	0	2	2
Picked	0	5	5
Done	0	5	5
Total	1 911	12	1 923

Accuracy

100.0%

Counts

1 923 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.1%	(/.f64 (fma.f64 (.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) (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) (log.f64 base)) #s(literal 4 binary64)))
	48.9%	(/.f64 (fma.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (log.f64 base))) #s(literal 0 binary64)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
✓	99.2%	(/.f64 (fma.f64 (log.f64 (hypot.f64 im re)) (log.f64 base) #s(literal 0 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1 binary64)))
✓	98.5%	(/.f64 (fma.f64 (log.f64 (hypot.f64 im re)) (log.f64 base) #s(literal 0 binary64)) (pow.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/4 binary64))) #s(literal -2 binary64)))
✓	98.7%	(/.f64 (fma.f64 (log.f64 (hypot.f64 im re)) (log.f64 base) #s(literal 0 binary64)) (/.f64 (-.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal 1 binary64) (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))))))
✓	99.1%	(/.f64 (fma.f64 (log.f64 (hypot.f64 im re)) (log.f64 base) #s(literal 0 binary64)) (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))
✓	98.9%	(/.f64 (/.f64 (fma.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (neg.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) (neg.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) (-.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))))
✓	99.0%	(/.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)) #s(literal 0 binary64))))) (fma.f64 (neg.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) (neg.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) (-.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))))
✓	55.2%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (fma.f64 (log.f64 im) (.f64 (.f64 im im) (log.f64 base)) (.f64 (log.f64 base) (.f64 #s(literal 1/2 binary64) (.f64 re re)))) (.f64 (log.f64 base) (.f64 im (.f64 im (log.f64 base))))))
✓	49.0%	#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)) (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (log.f64 base)))))
✓	99.5%	#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)))
✓	46.1%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(approx (/ (+ (* (log im) (* (* im im) (log base))) (* (log base) (* 1/2 (* re re)))) (* (log base) (* (* im im) (log base)))) (fma.f64 (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (.f64 im im) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (.f64 re re) (.f64 (/.f64 (log.f64 im) (.f64 (.f64 re re) (log.f64 base))) (.f64 re re)))))

Compiler

Compiled 1 437 to 456 computations (68.3% saved)

regimes33.0ms (0.5%)

Memory

14.5MiB live, 60.4MiB allocated; 4ms collecting garbage

Counts

23 → 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))) #s(approx (/ (+ (* (log im) (* (* im im) (log base))) (* (log base) (* 1/2 (* re re)))) (* (log base) (* (* im im) (log base)))) (fma.f64 (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (.f64 im im) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (.f64 re re) (.f64 (/.f64 (log.f64 im) (.f64 (.f64 re re) (log.f64 base))) (.f64 re re)))))
#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 (log.f64 (hypot.f64 im re)) (pow.f64 (exp.f64 #s(literal 1 binary64)) (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 (fma.f64 (log.f64 im) (.f64 (.f64 im im) (log.f64 base)) (.f64 (log.f64 base) (.f64 #s(literal 1/2 binary64) (.f64 re re)))) (.f64 (log.f64 base) (.f64 im (.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 (fma.f64 (log.f64 im) (.f64 (.f64 im im) (log.f64 base)) (.f64 (log.f64 base) (.f64 #s(literal 1/2 binary64) (.f64 re re)))) (.f64 (log.f64 base) (.f64 (.f64 im 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 (fma.f64 (.f64 (/.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (.f64 (.f64 im im) (log.f64 base))) (/.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (.f64 (.f64 im im) (log.f64 base)))) (/.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (.f64 (.f64 im im) (log.f64 base))) (/.f64 (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 im)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (/.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (.f64 (.f64 im im) (log.f64 base)))) (neg.f64 (/.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (.f64 (.f64 im im) (log.f64 base)))) (-.f64 (.f64 (/.f64 (.f64 #s(literal -1 binary64) (log.f64 im)) (.f64 #s(literal -1 binary64) (log.f64 base))) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 im)) (.f64 #s(literal -1 binary64) (log.f64 base)))) (.f64 (/.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (.f64 (.f64 im im) (log.f64 base))) (/.f64 (.f64 #s(literal -1 binary64) (log.f64 im)) (*.f64 #s(literal -1 binary64) (log.f64 base))))))))
(/.f64 (+.f64 (log.f64 (pow.f64 (hypot.f64 im re) (log.f64 base))) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (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 (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 (+.f64 (pow.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)) #s(literal 0 binary64))))) (fma.f64 (neg.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) (neg.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) (-.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 (fma.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (neg.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) (neg.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) (-.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 (fma.f64 (log.f64 (hypot.f64 im re)) (log.f64 base) #s(literal 0 binary64)) (+.f64 (.f64 (log.f64 base) (exp.f64 (-.f64 #s(literal 0 binary64) (.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (fma.f64 (log.f64 (hypot.f64 im re)) (log.f64 base) #s(literal 0 binary64)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (fma.f64 (log.f64 (hypot.f64 im re)) (log.f64 base) #s(literal 0 binary64)) (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (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 (log.f64 (hypot.f64 im re)) (log.f64 base) #s(literal 0 binary64)) (/.f64 (-.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal 1 binary64) (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 (log.f64 (hypot.f64 im re)) (log.f64 base) #s(literal 0 binary64)) (pow.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/4 binary64))) #s(literal -2 binary64)))
(/.f64 (fma.f64 (log.f64 (hypot.f64 im re)) (log.f64 base) #s(literal 0 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (log.f64 (hypot.f64 im re)) (log.f64 base) #s(literal 0 binary64)) (pow.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal -2 binary64)))
(/.f64 (fma.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (log.f64 base))) #s(literal 0 binary64)) (+.f64 (.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 (*.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal 4 binary64)))
(/.f64 (fma.f64 (.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) (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) (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:

8.0ms	(/.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))))
6.0ms	(log.f64 base)
6.0ms	base
6.0ms	im
6.0ms	re

Results

Accuracy	Segments	Branch
99.5%	1	`(log.f64 base)`
99.5%	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))))`
99.5%	1	`re`
99.5%	1	`im`
99.5%	1	`base`

Compiler

Compiled 33 to 31 computations (6.1% saved)

regimes6.0ms (0.1%)

Memory

16.5MiB live, 16.5MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 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))) #s(approx (/ (+ (* (log im) (* (* im im) (log base))) (* (log base) (* 1/2 (* re re)))) (* (log base) (* (* im im) (log base)))) (fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 im im) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (*.f64 re re) (*.f64 (/.f64 (log.f64 im) (*.f64 (*.f64 re re) (log.f64 base))) (*.f64 re re)))))

Outputs

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

Calls

5 calls:

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))))
1.0ms	base
1.0ms	(log.f64 base)
1.0ms	re
1.0ms	im

Results

Accuracy	Segments	Branch
46.1%	1	`(log.f64 base)`
46.1%	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))))`
46.1%	1	`re`
46.1%	1	`im`
46.1%	1	`base`

Compiler

Compiled 33 to 31 computations (6.1% saved)

simplify95.0ms (1.3%)

Memory

-53.5MiB live, 79.2MiB allocated; 66ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	49	109
1	110	102
2	437	88
3	4659	88

Stop Event

1×	node limit

Calls

Call 1

Inputs

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

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)))

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

derivations76.0ms (1.1%)

Memory

-12.0MiB live, 35.9MiB allocated; 5ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 125 to 50 computations (60% saved)

preprocess32.0ms (0.4%)

Memory

8.4MiB live, 52.0MiB allocated; 6ms collecting garbage

Remove

(sort re im)

(abs im)

(abs re)

Compiler

Compiled 522 to 274 computations (47.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze240.0ms (3.3%)

sample1.5s (21.5%)

explain650.0ms (9.1%)

preprocess195.0ms (2.7%)

eval0.0ms (0%)

prune1.0ms (0%)

series161.0ms (2.2%)

rewrite191.0ms (2.7%)

eval61.0ms (0.9%)

prune92.0ms (1.3%)

series296.0ms (4.1%)

rewrite238.0ms (3.3%)

eval134.0ms (1.9%)

prune244.0ms (3.4%)

series353.0ms (4.9%)

rewrite260.0ms (3.6%)

eval276.0ms (3.8%)

prune344.0ms (4.8%)

series417.0ms (5.8%)

rewrite336.0ms (4.7%)

eval410.0ms (5.7%)

prune488.0ms (6.8%)

regimes33.0ms (0.5%)

regimes6.0ms (0.1%)

simplify95.0ms (1.3%)

derivations76.0ms (1.1%)

preprocess32.0ms (0.4%)

end0.0ms (0%)

Profiling