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

start0.0ms (0%)

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

analyze242.0ms (6.1%)

Memory

-20.4MiB live, 223.5MiB allocated; 117ms 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)

sample1.4s (36.3%)

Memory

31.7MiB live, 1 628.2MiB allocated; 396ms collecting garbage

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 854.0ms

ival-mult!: 260.0ms (30.4% of total)

ival-hypot: 234.0ms (27.4% of total)

ival-log: 184.0ms (21.5% of total)

ival-atan2: 85.0ms (10% of total)

ival-add!: 35.0ms (4.1% of total)

ival-div!: 33.0ms (3.9% of total)

ival-sub!: 21.0ms (2.5% of total)

adjust: 1.0ms (0.1% of total)

Bogosity

explain256.0ms (6.5%)

Memory

-12.9MiB live, 416.5MiB allocated; 26ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
130	-	2	(-7.92908970931845e-162 -1.3271948362148343e-244 5.709791257394219e-292)	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
1	-	1	(7.739428783482166e+245 1.3015592340404214e-77 3.27428120405865e+98)	`(*.f64 (atan2.f64 im re) (log.f64 base))`
0	-	0	-	`(log.f64 base)`
0	-	0	-	`(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))`
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 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64)))`
0	-	0	-	`(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))`
0	-	0	-	`(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))`
0	-	0	-	`#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 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	114	0
↳	`(+.f64 (.f64 re re) (.f64 im im))`	overflow	114
↳	`(*.f64 re re)`	overflow	58
↳	`(*.f64 im im)`	overflow	74

Confusion

	Predicted +	Predicted -
+	114	14
-	0	128

Precision

1.0

Recall

0.890625

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	114	0	14
-	0	0	128

Precision?

1.0

Recall?

0.890625

Freqs

test

number	freq
0	142
1	114

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

63.0ms

512×

valid

Compiler

Compiled 270 to 58 computations (78.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-log: 11.0ms (26.6% of total)

ival-mult!: 11.0ms (26.6% of total)

ival-hypot: 9.0ms (21.7% of total)

ival-atan2: 6.0ms (14.5% of total)

ival-add!: 2.0ms (4.8% of total)

ival-div!: 2.0ms (4.8% of total)

ival-sub!: 1.0ms (2.4% of total)

adjust: 0.0ms (0% of total)

preprocess58.0ms (1.5%)

Memory

2.5MiB live, 48.5MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	79	153
1	229	133
2	964	86
3	6091	86

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.6%	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Status

Accuracy

Program

▶

49.6%

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

Compiler

Compiled 56 to 36 computations (35.7% saved)

series164.0ms (4.2%)

Memory

15.9MiB live, 206.0MiB allocated; 28ms collecting garbage

Counts

18 → 76

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64)))
(*.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(log.f64 base)
base
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))
(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
(+.f64 (.f64 re re) (.f64 im im))
(*.f64 re re)
(*.f64 im im)
#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 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (* (atan2 im re) (log base)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (atan2 im re) #s(hole binary64 (atan2 im re)))
#s(approx re #s(hole binary64 re))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(hole binary64 0))
#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 (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)))) #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 im #s(hole binary64 im))
#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 (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)))) #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 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 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (* (atan2 im re) (log base)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#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 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (* (atan2 im re) (log base)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#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
40.0ms	base	@	0	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (atan2 im re) im re (log base) base (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0))
34.0ms	re	@	0	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (atan2 im re) im re (log base) base (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0))
32.0ms	re	@	-inf	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (atan2 im re) im re (log base) base (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0))
17.0ms	base	@	-inf	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (atan2 im re) im re (log base) base (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0))
8.0ms	re	@	inf	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (atan2 im re) im re (log base) base (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0))

rewrite182.0ms (4.6%)

Memory

15.8MiB live, 252.6MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	311	1967
0	334	1741
1	1583	1725
0	8236	1420

Stop Event

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

Counts

94 → 331

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64)))
(*.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(log.f64 base)
base
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))
(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
(+.f64 (.f64 re re) (.f64 im im))
(*.f64 re re)
(*.f64 im im)
#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 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (* (atan2 im re) (log base)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (atan2 im re) #s(hole binary64 (atan2 im re)))
#s(approx re #s(hole binary64 re))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(hole binary64 0))
#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 (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)))) #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 im #s(hole binary64 im))
#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 (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)))) #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 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 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (* (atan2 im re) (log base)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#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 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (* (atan2 im re) (log base)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#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 (-.f64 (pow.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 0 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 (log.f64 base) (atan2.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 (neg.f64 (log.f64 (/.f64 (pow.f64 base (atan2.f64 im re)) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (neg.f64 (log.f64 (/.f64 (pow.f64 base (atan2.f64 im re)) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (log.f64 (/.f64 (pow.f64 base (atan2.f64 im re)) #s(literal 1 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(fma.f64 (/.f64 (log.f64 base) (fabs.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 base))) (/.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(fma.f64 (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 base))) (/.f64 (log.f64 base) (fabs.f64 (log.f64 base))) (/.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(fma.f64 (/.f64 (log.f64 base) (neg.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (/.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(fma.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(fma.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (/.f64 (log.f64 base) (neg.f64 (log.f64 base))) (/.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(fma.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 (log.f64 base) (atan2.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 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (.f64 (neg.f64 (log.f64 (hypot.f64 re im))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (log.f64 (hypot.f64 re im))) #s(literal 0 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (neg.f64 (log.f64 (hypot.f64 re im))) #s(literal 0 binary64)) (.f64 (neg.f64 (log.f64 (hypot.f64 re im))) #s(literal 0 binary64))) (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) #s(literal 0 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 0 binary64))) (neg.f64 (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) #s(literal 0 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)))))
(fma.f64 (log.f64 base) (atan2.f64 im re) (*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) #s(literal 0 binary64)))
(fma.f64 (atan2.f64 im re) (log.f64 base) (*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) #s(literal 0 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))))) (/.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))))))
(-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))
(+.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (neg.f64 (log.f64 (hypot.f64 re im))) #s(literal 0 binary64)))
(log.f64 (/.f64 (pow.f64 base (atan2.f64 im re)) #s(literal 1 binary64)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(log.f64 (pow.f64 base (atan2.f64 im re)))
(atan2.f64 im re)
im
re
(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)
(.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im))))
(log.f64 (hypot.f64 re im))
(pow.f64 (hypot.f64 re im) #s(literal 1 binary64))
(pow.f64 (fma.f64 re re (*.f64 im im)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (.f64 re re) (.f64 im im))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (.f64 im im) (.f64 re re))))
(/.f64 (hypot.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 re im) #s(literal 2 binary64))))))
(/.f64 (hypot.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))))))
(sqrt.f64 (fma.f64 re re (*.f64 im im)))
(hypot.f64 (neg.f64 (neg.f64 re)) (neg.f64 (neg.f64 im)))
(hypot.f64 (neg.f64 (neg.f64 re)) (neg.f64 (fabs.f64 im)))
(hypot.f64 (neg.f64 (neg.f64 re)) (fabs.f64 (fabs.f64 im)))
(hypot.f64 (neg.f64 (neg.f64 re)) (neg.f64 im))
(hypot.f64 (neg.f64 (neg.f64 re)) (fabs.f64 im))
(hypot.f64 (neg.f64 (neg.f64 re)) im)
(hypot.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (neg.f64 im)))
(hypot.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (fabs.f64 im)))
(hypot.f64 (neg.f64 (fabs.f64 re)) (fabs.f64 (fabs.f64 im)))
(hypot.f64 (neg.f64 (fabs.f64 re)) (neg.f64 im))
(hypot.f64 (neg.f64 (fabs.f64 re)) (fabs.f64 im))
(hypot.f64 (neg.f64 (fabs.f64 re)) im)
(hypot.f64 (neg.f64 (neg.f64 im)) (neg.f64 (neg.f64 re)))
(hypot.f64 (neg.f64 (neg.f64 im)) (neg.f64 (fabs.f64 re)))
(hypot.f64 (neg.f64 (neg.f64 im)) (fabs.f64 (fabs.f64 re)))
(hypot.f64 (neg.f64 (neg.f64 im)) (neg.f64 re))
(hypot.f64 (neg.f64 (neg.f64 im)) (fabs.f64 re))
(hypot.f64 (neg.f64 (neg.f64 im)) re)
(hypot.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (neg.f64 re)))
(hypot.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 re)))
(hypot.f64 (neg.f64 (fabs.f64 im)) (fabs.f64 (fabs.f64 re)))
(hypot.f64 (neg.f64 (fabs.f64 im)) (neg.f64 re))
(hypot.f64 (neg.f64 (fabs.f64 im)) (fabs.f64 re))
(hypot.f64 (neg.f64 (fabs.f64 im)) re)
(hypot.f64 (fabs.f64 (fabs.f64 re)) (neg.f64 (neg.f64 im)))
(hypot.f64 (fabs.f64 (fabs.f64 re)) (neg.f64 (fabs.f64 im)))
(hypot.f64 (fabs.f64 (fabs.f64 re)) (fabs.f64 (fabs.f64 im)))
(hypot.f64 (fabs.f64 (fabs.f64 re)) (neg.f64 im))
(hypot.f64 (fabs.f64 (fabs.f64 re)) (fabs.f64 im))
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#s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 (fma.f64 (/.f64 (.f64 re re) (pow.f64 im #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) im)) (.f64 re re) im))
#s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 re re) (pow.f64 im #s(literal 5 binary64))) #s(literal 1/16 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal -3 binary64)))) (.f64 re re) (/.f64 #s(literal 1/2 binary64) im)) (.f64 re re) im))
#s(approx (+ (* re re) (* im im)) (*.f64 im im))
#s(approx (+ (* re re) (* im im)) (fma.f64 re re (*.f64 im im)))
#s(approx (* re re) (*.f64 re re))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 re))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) re) (/.f64 (*.f64 im im) re) (log.f64 re)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 re) (fma.f64 (/.f64 #s(literal 1/2 binary64) re) (/.f64 (.f64 im im) re) (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal 4 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 re) (fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal -1/4 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) re) (/.f64 (.f64 im im) re) (/.f64 (.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 120 binary64))) (pow.f64 re #s(literal 6 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) re)
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) re) (/.f64 (.f64 im im) re) #s(literal 1 binary64)) re))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) re) (/.f64 (.f64 im im) re) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal 4 binary64)))) #s(literal 1 binary64)) re))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) re) (/.f64 (.f64 im im) re) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 6 binary64))) (pow.f64 re #s(literal 6 binary64))))) #s(literal 1 binary64)) re))
#s(approx (+ (* re re) (* im im)) (*.f64 re re))
#s(approx (+ (* re re) (* im im)) (.f64 (fma.f64 (/.f64 im re) (/.f64 im re) #s(literal 1 binary64)) (.f64 re re)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) re))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) re) (/.f64 (*.f64 im im) re) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) re) (/.f64 (.f64 im im) re) (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal 4 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal -1 binary64) (fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal -1/4 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) re) (/.f64 (.f64 im im) re) (/.f64 (.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 120 binary64))) (pow.f64 re #s(literal 6 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 (neg.f64 re) (fma.f64 (/.f64 #s(literal 1/2 binary64) re) (/.f64 (.f64 im im) re) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 (neg.f64 re) (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) re) (/.f64 (.f64 im im) re) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal 4 binary64)))) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 (neg.f64 re) (+.f64 (fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) re) (/.f64 (.f64 im im) re) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 6 binary64))) (pow.f64 re #s(literal 6 binary64))))) #s(literal 1 binary64))))
#s(approx im im)
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 re))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) re) (/.f64 (*.f64 im im) re) (log.f64 re)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (fma.f64 (pow.f64 re #s(literal -2 binary64)) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 im im)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 im im) (log.f64 re)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 im im) (pow.f64 re #s(literal 6 binary64))) #s(literal 1/6 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal -4 binary64)))) (.f64 im im) (.f64 (pow.f64 re #s(literal -2 binary64)) #s(literal 1/2 binary64))) (*.f64 im im) (log.f64 re)))
#s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 (/.f64 (*.f64 im im) re) #s(literal 1/2 binary64) re))
#s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 (fma.f64 (/.f64 (.f64 im im) (pow.f64 re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) re)) (.f64 im im) re))
#s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 im im) (pow.f64 re #s(literal 5 binary64))) #s(literal 1/16 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal -3 binary64)))) (.f64 im im) (/.f64 #s(literal 1/2 binary64) re)) (.f64 im im) re))
#s(approx (* im im) (*.f64 im im))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (*.f64 re re) im) (log.f64 im)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (.f64 re re) im) (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 4 binary64)))) (log.f64 im)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/4 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (.f64 re re) im) (/.f64 (.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64))) (pow.f64 im #s(literal 6 binary64))))) (log.f64 im)))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (.f64 re re) im) #s(literal 1 binary64)) im))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (.f64 re re) im) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 4 binary64)))) #s(literal 1 binary64)) im))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (.f64 re re) im) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 re #s(literal 6 binary64))) (pow.f64 im #s(literal 6 binary64))))) #s(literal 1 binary64)) im))
#s(approx (+ (* re re) (* im im)) (.f64 (fma.f64 (/.f64 re im) (/.f64 re im) #s(literal 1 binary64)) (.f64 im im)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (*.f64 re re) im) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (.f64 re re) im) (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 4 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -1 binary64) (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/4 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (.f64 re re) im) (/.f64 (.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64))) (pow.f64 im #s(literal 6 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 (neg.f64 im) (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (.f64 re re) im) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 (neg.f64 im) (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (.f64 re re) im) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 4 binary64)))) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 (neg.f64 im) (+.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (.f64 re re) im) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 re #s(literal 6 binary64))) (pow.f64 im #s(literal 6 binary64))))) #s(literal 1 binary64))))
#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 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (neg.f64 (neg.f64 (log.f64 base))) (atan2.f64 im re)))
#s(approx (* (atan2 im re) (log base)) (*.f64 (neg.f64 (neg.f64 (log.f64 base))) (atan2.f64 im re)))
#s(approx (log base) (neg.f64 (neg.f64 (log.f64 base))))
#s(approx (+ (* (log base) (log base)) (* 0 0)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (+ (* (log base) (log base)) (* 0 0)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (atan2.f64 im re)))
#s(approx (* (atan2 im re) (log base)) (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (atan2.f64 im re)))
#s(approx (log base) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))
#s(approx (+ (* (log base) (log base)) (* 0 0)) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)))
#s(approx (+ (* (log base) (log base)) (* 0 0)) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)))

eval34.0ms (0.9%)

Memory: -22.2MiB live, 70.5MiB allocated; 6ms collecting garbage
Compiler: Compiled 9 423 to 1 566 computations (83.4% saved)

prune13.0ms (0.3%)

Memory

31.6MiB live, 31.6MiB allocated; 0ms collecting garbage

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	277	13	290
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	278	13	291

Accuracy

99.8%

Counts

291 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	88.3%	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 (log.f64 base) (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))))
	84.5%	(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 0 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 (log.f64 base) (atan2.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)))))))
	49.5%	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	49.6%	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))
	49.5%	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (/.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))))
▶	49.6%	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #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))))
▶	22.9%	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (cosh.f64 (.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64)))))
	22.9%	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))))
	25.8%	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))))
▶	26.1%	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	99.2%	(/.f64 (-.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
▶	99.3%	(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (.f64 (log.f64 base) (atan2.f64 im re))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
▶	99.5%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base)))

Compiler

Compiled 900 to 540 computations (40% saved)

series401.0ms (10.2%)

Memory

13.6MiB live, 491.5MiB allocated; 52ms collecting garbage

Counts

43 → 136

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
113.0ms	base	@	-inf	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (log base)) (atan2 im re) im re (log base) base (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (log base) (atan2 im re)) (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) 0 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (/ 1 (pow (log base) -1)) (log base)) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) (+ (* (/ 1 (pow (log base) -1)) (log base)) (* 0 0)) (* (/ 1 (pow (log base) -1)) (log base)) (/ 1 (pow (log base) -1)) 1 (pow (log base) -1) -1 (/ (- (* (atan2 im re) (exp (* (log (log base)) 1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (- (* (atan2 im re) (exp (* (log (log base)) 1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (exp (* (log (log base)) 1))) (exp (* (log (log base)) 1)) (* (log (log base)) 1) (log (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (cosh (* (log (neg (log base))) 2)) (sinh (* (log (neg (log base))) 2)))) (+ (cosh (* (log (neg (log base))) 2)) (sinh (* (log (neg (log base))) 2))) (cosh (* (log (neg (log base))) 2)) (* (log (neg (log base))) 2) (log (neg (log base))) (neg (log base)) 2 (sinh (* (log (neg (log base))) 2)))
64.0ms	base	@	inf	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (log base)) (atan2 im re) im re (log base) base (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (log base) (atan2 im re)) (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) 0 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (/ 1 (pow (log base) -1)) (log base)) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) (+ (* (/ 1 (pow (log base) -1)) (log base)) (* 0 0)) (* (/ 1 (pow (log base) -1)) (log base)) (/ 1 (pow (log base) -1)) 1 (pow (log base) -1) -1 (/ (- (* (atan2 im re) (exp (* (log (log base)) 1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (- (* (atan2 im re) (exp (* (log (log base)) 1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (exp (* (log (log base)) 1))) (exp (* (log (log base)) 1)) (* (log (log base)) 1) (log (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (cosh (* (log (neg (log base))) 2)) (sinh (* (log (neg (log base))) 2)))) (+ (cosh (* (log (neg (log base))) 2)) (sinh (* (log (neg (log base))) 2))) (cosh (* (log (neg (log base))) 2)) (* (log (neg (log base))) 2) (log (neg (log base))) (neg (log base)) 2 (sinh (* (log (neg (log base))) 2)))
57.0ms	base	@	0	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (log base)) (atan2 im re) im re (log base) base (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (log base) (atan2 im re)) (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) 0 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (/ 1 (pow (log base) -1)) (log base)) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) (+ (* (/ 1 (pow (log base) -1)) (log base)) (* 0 0)) (* (/ 1 (pow (log base) -1)) (log base)) (/ 1 (pow (log base) -1)) 1 (pow (log base) -1) -1 (/ (- (* (atan2 im re) (exp (* (log (log base)) 1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (- (* (atan2 im re) (exp (* (log (log base)) 1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (exp (* (log (log base)) 1))) (exp (* (log (log base)) 1)) (* (log (log base)) 1) (log (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (cosh (* (log (neg (log base))) 2)) (sinh (* (log (neg (log base))) 2)))) (+ (cosh (* (log (neg (log base))) 2)) (sinh (* (log (neg (log base))) 2))) (cosh (* (log (neg (log base))) 2)) (* (log (neg (log base))) 2) (log (neg (log base))) (neg (log base)) 2 (sinh (* (log (neg (log base))) 2)))
45.0ms	im	@	inf	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (log base)) (atan2 im re) im re (log base) base (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (log base) (atan2 im re)) (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) 0 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (/ 1 (pow (log base) -1)) (log base)) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) (+ (* (/ 1 (pow (log base) -1)) (log base)) (* 0 0)) (* (/ 1 (pow (log base) -1)) (log base)) (/ 1 (pow (log base) -1)) 1 (pow (log base) -1) -1 (/ (- (* (atan2 im re) (exp (* (log (log base)) 1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (- (* (atan2 im re) (exp (* (log (log base)) 1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (exp (* (log (log base)) 1))) (exp (* (log (log base)) 1)) (* (log (log base)) 1) (log (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (cosh (* (log (neg (log base))) 2)) (sinh (* (log (neg (log base))) 2)))) (+ (cosh (* (log (neg (log base))) 2)) (sinh (* (log (neg (log base))) 2))) (cosh (* (log (neg (log base))) 2)) (* (log (neg (log base))) 2) (log (neg (log base))) (neg (log base)) 2 (sinh (* (log (neg (log base))) 2)))
43.0ms	re	@	0	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (log base)) (atan2 im re) im re (log base) base (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (log base) (atan2 im re)) (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) 0 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (/ 1 (pow (log base) -1)) (log base)) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) (+ (* (/ 1 (pow (log base) -1)) (log base)) (* 0 0)) (* (/ 1 (pow (log base) -1)) (log base)) (/ 1 (pow (log base) -1)) 1 (pow (log base) -1) -1 (/ (- (* (atan2 im re) (exp (* (log (log base)) 1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (- (* (atan2 im re) (exp (* (log (log base)) 1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (exp (* (log (log base)) 1))) (exp (* (log (log base)) 1)) (* (log (log base)) 1) (log (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (cosh (* (log (neg (log base))) 2)) (sinh (* (log (neg (log base))) 2)))) (+ (cosh (* (log (neg (log base))) 2)) (sinh (* (log (neg (log base))) 2))) (cosh (* (log (neg (log base))) 2)) (* (log (neg (log base))) 2) (log (neg (log base))) (neg (log base)) 2 (sinh (* (log (neg (log base))) 2)))

rewrite185.0ms (4.7%)

Memory

-29.3MiB live, 294.4MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	447	3753
0	519	2935
1	2125	2896
0	8698	2587

Stop Event

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

Counts

179 → 805

Calls

Call 1

Inputs
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(log.f64 base)
base
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (.f64 (log.f64 base) (atan2.f64 im re))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(+.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(literal 0 binary64)
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #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 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64)))
(*.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))
(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
(+.f64 (.f64 re re) (.f64 im im))
(*.f64 re re)
(*.f64 im im)
(+.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)))
#s(literal 1 binary64)
(pow.f64 (log.f64 base) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(-.f64 (.f64 (atan2.f64 im re) (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) #s(literal 0 binary64)))
(.f64 (atan2.f64 im re) (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))
(*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))
(log.f64 (log.f64 base))
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (cosh.f64 (.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64)))))
(+.f64 (cosh.f64 (.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))))
(cosh.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64)))
(*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))
(log.f64 (neg.f64 (log.f64 base)))
(neg.f64 (log.f64 base))
#s(literal 2 binary64)
(sinh.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (/ (atan2 im re) (log base)) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (atan2 im re) #s(hole binary64 (atan2 im re)))
#s(approx re #s(hole binary64 re))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (* (log base) (atan2 im re)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (/ 1 (pow (log base) -1)) (log base)) (* 0 0))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (* (atan2 im re) (log base)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(hole binary64 0))
#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))
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#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im)))))))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (pow im 2)))
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#s(approx (* re re) #s(hole binary64 (pow re 2)))
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#s(approx (- (* (atan2 im re) (exp (* (log (log base)) 1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (* (atan2 im re) (exp (* (log (log base)) 1))) #s(hole binary64 (* (log base) (atan2 im re))))
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#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ 1 re)))))
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#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))))))))
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#s(approx im #s(hole binary64 im))
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#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 (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)))) #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 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 (+ (* (/ 1 (pow (log base) -1)) (log base)) (* 0 0)) #s(hole binary64 (pow (log base) 2)))
#s(approx (* (/ 1 (pow (log base) -1)) (log base)) #s(hole binary64 (pow (log base) 2)))
#s(approx (/ 1 (pow (log base) -1)) #s(hole binary64 (log base)))
#s(approx (pow (log base) -1) #s(hole binary64 (/ 1 (log base))))
#s(approx (exp (* (log (log base)) 1)) #s(hole binary64 (log base)))
#s(approx (* (log (log base)) 1) #s(hole binary64 (log (log base))))
#s(approx (log (log base)) #s(hole binary64 (log (log base))))
#s(approx (+ (cosh (* (log (neg (log base))) 2)) (sinh (* (log (neg (log base))) 2))) #s(hole binary64 (+ (* 1/2 (+ (/ 1 (pow (log base) 2)) (pow (log base) 2))) (* 1/2 (- (pow (log base) 2) (/ 1 (pow (log base) 2)))))))
#s(approx (cosh (* (log (neg (log base))) 2)) #s(hole binary64 (* 1/2 (+ (/ 1 (pow (log base) 2)) (pow (log base) 2)))))
#s(approx (* (log (neg (log base))) 2) #s(hole binary64 (* 2 (log (neg (log base))))))
#s(approx (log (neg (log base))) #s(hole binary64 (log (neg (log base)))))
#s(approx (neg (log base)) #s(hole binary64 (* -1 (log base))))
#s(approx (sinh (* (log (neg (log base))) 2)) #s(hole binary64 (* 1/2 (- (pow (log base) 2) (/ 1 (pow (log base) 2))))))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (/ (atan2 im re) (log base)) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (log base) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (* (log base) (atan2 im re)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#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 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (/ 1 (pow (log base) -1)) (log base)) (* 0 0))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (* (atan2 im re) (log base)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (+ (* (/ 1 (pow (log base) -1)) (log base)) (* 0 0)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (* (/ 1 (pow (log base) -1)) (log base)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (/ 1 (pow (log base) -1)) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (pow (log base) -1) #s(hole binary64 (/ -1 (log (/ 1 base)))))
#s(approx (/ (- (* (atan2 im re) (exp (* (log (log base)) 1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (- (* (atan2 im re) (exp (* (log (log base)) 1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (* (atan2 im re) (exp (* (log (log base)) 1))) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (exp (* (log (log base)) 1)) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (* (log (log base)) 1) #s(hole binary64 (log (* -1 (log (/ 1 base))))))
#s(approx (log (log base)) #s(hole binary64 (log (* -1 (log (/ 1 base))))))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (cosh (* (log (neg (log base))) 2)) (sinh (* (log (neg (log base))) 2)))) #s(hole binary64 (* -1 (/ (* (log (/ 1 base)) (atan2 im re)) (+ (* 1/2 (+ (/ 1 (pow (log (/ 1 base)) 2)) (pow (log (/ 1 base)) 2))) (* 1/2 (- (pow (log (/ 1 base)) 2) (/ 1 (pow (log (/ 1 base)) 2)))))))))
#s(approx (+ (cosh (* (log (neg (log base))) 2)) (sinh (* (log (neg (log base))) 2))) #s(hole binary64 (+ (* 1/2 (+ (/ 1 (pow (log (/ 1 base)) 2)) (pow (log (/ 1 base)) 2))) (* 1/2 (- (pow (log (/ 1 base)) 2) (/ 1 (pow (log (/ 1 base)) 2)))))))
#s(approx (cosh (* (log (neg (log base))) 2)) #s(hole binary64 (* 1/2 (+ (/ 1 (pow (log (/ 1 base)) 2)) (pow (log (/ 1 base)) 2)))))
#s(approx (* (log (neg (log base))) 2) #s(hole binary64 (* 2 (log (neg (* -1 (log (/ 1 base))))))))
#s(approx (log (neg (log base))) #s(hole binary64 (log (neg (* -1 (log (/ 1 base)))))))
#s(approx (neg (log base)) #s(hole binary64 (log (/ 1 base))))
#s(approx (sinh (* (log (neg (log base))) 2)) #s(hole binary64 (* 1/2 (- (pow (log (/ 1 base)) 2) (/ 1 (pow (log (/ 1 base)) 2))))))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (atan2 im re) (log base)) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (log base) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 base))))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (* (log base) (atan2 im re)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#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 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (/ 1 (pow (log base) -1)) (log base)) (* 0 0))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (* (atan2 im re) (log base)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (+ (* (/ 1 (pow (log base) -1)) (log base)) (* 0 0)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (* (/ 1 (pow (log base) -1)) (log base)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (/ 1 (pow (log base) -1)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 base))))))
#s(approx (pow (log base) -1) #s(hole binary64 (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (- (* (atan2 im re) (exp (* (log (log base)) 1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (- (* (atan2 im re) (exp (* (log (log base)) 1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (* (atan2 im re) (exp (* (log (log base)) 1))) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (exp (* (log (log base)) 1)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 base))))))
#s(approx (* (log (log base)) 1) #s(hole binary64 (log (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (log (log base)) #s(hole binary64 (log (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (cosh (* (log (neg (log base))) 2)) (sinh (* (log (neg (log base))) 2)))) #s(hole binary64 (/ (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)) (+ (* 1/2 (+ (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))) (* 1/2 (- (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))))))))
#s(approx (+ (cosh (* (log (neg (log base))) 2)) (sinh (* (log (neg (log base))) 2))) #s(hole binary64 (+ (* 1/2 (+ (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))) (* 1/2 (- (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))))))
#s(approx (cosh (* (log (neg (log base))) 2)) #s(hole binary64 (* 1/2 (+ (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))))
#s(approx (* (log (neg (log base))) 2) #s(hole binary64 (* 2 (log (neg (+ (log -1) (* -1 (log (/ -1 base)))))))))
#s(approx (log (neg (log base))) #s(hole binary64 (log (neg (+ (log -1) (* -1 (log (/ -1 base))))))))
#s(approx (neg (log base)) #s(hole binary64 (* -1 (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (sinh (* (log (neg (log base))) 2)) #s(hole binary64 (* 1/2 (- (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))))))

Outputs
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (cosh (* (log (neg (log base))) 2)) (sinh (* (log (neg (log base))) 2)))) (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) (*.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (log.f64 base)))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (log.f64 base) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (log.f64 base))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (log.f64 base))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (log.f64 base))) (cosh.f64 (log.f64 (log.f64 base))) (-.f64 (.f64 (sinh.f64 (log.f64 (log.f64 base))) (sinh.f64 (log.f64 (log.f64 base)))) (.f64 (cosh.f64 (log.f64 (log.f64 base))) (sinh.f64 (log.f64 (log.f64 base)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (log.f64 base)))
(+.f64 (cosh.f64 (log.f64 (log.f64 base))) (sinh.f64 (log.f64 (log.f64 base))))
(log.f64 base)
base
(/.f64 (neg.f64 (neg.f64 #s(approx (- (* (atan2 im re) (exp (* (log (log base)) 1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))))) (neg.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(/.f64 (neg.f64 #s(approx (- (* (atan2 im re) (exp (* (log (log base)) 1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re)))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 #s(approx (- (* (atan2 im re) (exp (* (log (log base)) 1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (- (* (atan2 im re) (exp (* (log (log base)) 1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(log.f64 (pow.f64 base (atan2.f64 im re)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))
(*.f64 (neg.f64 (fabs.f64 (log.f64 base))) (neg.f64 (fabs.f64 (log.f64 base))))
(*.f64 (fabs.f64 (fabs.f64 (log.f64 base))) (fabs.f64 (fabs.f64 (log.f64 base))))
(*.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 base)))) (exp.f64 (log.f64 (neg.f64 (log.f64 base)))))
(.f64 (.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (fabs.f64 (log.f64 base)) (fabs.f64 (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 base)))
(.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (log.f64 base) (log.f64 base))
(pow.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 base)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (neg.f64 (log.f64 base))))
(pow.f64 (fabs.f64 (log.f64 base)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal -2 binary64))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) #s(literal 2 binary64)) (*.f64 (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))))) #s(literal 2 binary64))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 0 binary64))) (neg.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))))))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))))) #s(literal 4 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))) #s(literal 2 binary64))
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(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))))))
(/.f64 (*.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(/.f64 (neg.f64 (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64))) (pow.f64 (log.f64 base) #s(literal -1 binary64))))
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eval96.0ms (2.4%)

Memory: 13.3MiB live, 205.4MiB allocated; 16ms collecting garbage
Compiler: Compiled 44 854 to 3 649 computations (91.9% saved)

prune40.0ms (1%)

Memory

21.4MiB live, 74.6MiB allocated; 18ms collecting garbage

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	1 135	16	1 151
Fresh	6	2	8
Picked	4	1	5
Done	0	0	0
Total	1 145	19	1 164

Accuracy

99.9%

Counts

1 164 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	84.5%	(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 0 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 (log.f64 base) (atan2.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)))))))
	26.3%	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	22.5%	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (cosh.f64 (-.f64 (log.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 0 binary64))) (log.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))))) (sinh.f64 (.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64)))))
	26.1%	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (/.f64 (+.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) #s(literal 2 binary64)) (.f64 (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))))))))
▶	99.2%	(/.f64 (-.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	99.2%	(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64))) (atan2.f64 im re))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	98.9%	(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal -2 binary64)))
	99.3%	(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
▶	46.9%	(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (neg.f64 (log.f64 base)))))
	99.2%	(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))
	99.1%	(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))))
	99.2%	(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
	51.4%	(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (.f64 (log.f64 base) (atan2.f64 im re))) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))))
	99.3%	(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (.f64 (log.f64 base) (atan2.f64 im re))) (.f64 (log.f64 base) (log.f64 base)))
▶	50.9%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (log.f64 base)))))
▶	99.4%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))))
	51.4%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))))
✓	99.5%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base)))
▶	51.1%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base)))))

Compiler

Compiled 1 513 to 928 computations (38.7% saved)

series438.0ms (11.1%)

Memory

-36.6MiB live, 878.1MiB allocated; 156ms collecting garbage

Counts

35 → 68

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
81.0ms	base	@	inf	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (/ 1 (pow (log base) -1))) (atan2 im re) im re (/ 1 (pow (log base) -1)) 1 (pow (log base) -1) (log base) base -1 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (exp (log (log base)))) (exp (log (log base))) (log (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (pow (exp 1) (log (log base)))) (pow (exp 1) (log (log base))) (exp 1) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (pow (exp 2) (log (neg (log base))))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (log base) (atan2 im re)) (pow (exp 2) (log (neg (log base)))) (exp 2) 2 (log (neg (log base))) (neg (log base)) (/ (- (* (* (log base) (atan2 im re)) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) (- (* (* (log base) (atan2 im re)) (pow (log base) 2)) (* (pow (log base) 2) 0)) (* (* (log base) (atan2 im re)) (pow (log base) 2)) (pow (log base) 2) (* (pow (log base) 2) 0) 0 (pow (log base) 4) 4)
56.0ms	re	@	0	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (/ 1 (pow (log base) -1))) (atan2 im re) im re (/ 1 (pow (log base) -1)) 1 (pow (log base) -1) (log base) base -1 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (exp (log (log base)))) (exp (log (log base))) (log (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (pow (exp 1) (log (log base)))) (pow (exp 1) (log (log base))) (exp 1) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (pow (exp 2) (log (neg (log base))))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (log base) (atan2 im re)) (pow (exp 2) (log (neg (log base)))) (exp 2) 2 (log (neg (log base))) (neg (log base)) (/ (- (* (* (log base) (atan2 im re)) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) (- (* (* (log base) (atan2 im re)) (pow (log base) 2)) (* (pow (log base) 2) 0)) (* (* (log base) (atan2 im re)) (pow (log base) 2)) (pow (log base) 2) (* (pow (log base) 2) 0) 0 (pow (log base) 4) 4)
50.0ms	base	@	-inf	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (/ 1 (pow (log base) -1))) (atan2 im re) im re (/ 1 (pow (log base) -1)) 1 (pow (log base) -1) (log base) base -1 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (exp (log (log base)))) (exp (log (log base))) (log (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (pow (exp 1) (log (log base)))) (pow (exp 1) (log (log base))) (exp 1) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (pow (exp 2) (log (neg (log base))))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (log base) (atan2 im re)) (pow (exp 2) (log (neg (log base)))) (exp 2) 2 (log (neg (log base))) (neg (log base)) (/ (- (* (* (log base) (atan2 im re)) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) (- (* (* (log base) (atan2 im re)) (pow (log base) 2)) (* (pow (log base) 2) 0)) (* (* (log base) (atan2 im re)) (pow (log base) 2)) (pow (log base) 2) (* (pow (log base) 2) 0) 0 (pow (log base) 4) 4)
46.0ms	base	@	0	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (/ 1 (pow (log base) -1))) (atan2 im re) im re (/ 1 (pow (log base) -1)) 1 (pow (log base) -1) (log base) base -1 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (exp (log (log base)))) (exp (log (log base))) (log (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (pow (exp 1) (log (log base)))) (pow (exp 1) (log (log base))) (exp 1) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (pow (exp 2) (log (neg (log base))))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (log base) (atan2 im re)) (pow (exp 2) (log (neg (log base)))) (exp 2) 2 (log (neg (log base))) (neg (log base)) (/ (- (* (* (log base) (atan2 im re)) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) (- (* (* (log base) (atan2 im re)) (pow (log base) 2)) (* (pow (log base) 2) 0)) (* (* (log base) (atan2 im re)) (pow (log base) 2)) (pow (log base) 2) (* (pow (log base) 2) 0) 0 (pow (log base) 4) 4)
46.0ms	im	@	-inf	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (/ 1 (pow (log base) -1))) (atan2 im re) im re (/ 1 (pow (log base) -1)) 1 (pow (log base) -1) (log base) base -1 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (exp (log (log base)))) (exp (log (log base))) (log (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (pow (exp 1) (log (log base)))) (pow (exp 1) (log (log base))) (exp 1) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (pow (exp 2) (log (neg (log base))))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (log base) (atan2 im re)) (pow (exp 2) (log (neg (log base)))) (exp 2) 2 (log (neg (log base))) (neg (log base)) (/ (- (* (* (log base) (atan2 im re)) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) (- (* (* (log base) (atan2 im re)) (pow (log base) 2)) (* (pow (log base) 2) 0)) (* (* (log base) (atan2 im re)) (pow (log base) 2)) (pow (log base) 2) (* (pow (log base) 2) 0) 0 (pow (log base) 4) 4)

rewrite55.0ms (1.4%)

Memory

1.2MiB live, 100.2MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	176	1533
0	223	1215
0	528	1215

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

103 → 165

Calls

Call 1

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

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

eval19.0ms (0.5%)

Memory: 0.2MiB live, 46.7MiB allocated; 2ms collecting garbage
Compiler: Compiled 7 523 to 773 computations (89.7% saved)

prune17.0ms (0.4%)

Memory

-8.8MiB live, 38.9MiB allocated; 1ms collecting garbage

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	206	9	215
Fresh	4	9	13
Picked	3	2	5
Done	0	1	1
Total	213	21	234

Accuracy

100.0%

Counts

234 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(/.f64 (fma.f64 (log.f64 base) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	84.9%	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (+.f64 #s(literal 0 binary64) (.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 0 binary64))))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	22.5%	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (cosh.f64 (-.f64 (log.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 0 binary64))) (log.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))))) (sinh.f64 (.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64)))))
	99.2%	(/.f64 (-.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
	47.0%	(/.f64 (-.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (exp.f64 (.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64)))) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	98.9%	(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal -2 binary64)))
	99.3%	(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
✓	46.9%	(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (neg.f64 (log.f64 base)))))
	99.2%	(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))
▶	99.1%	(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))))
▶	99.2%	(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
	51.4%	(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (.f64 (log.f64 base) (atan2.f64 im re))) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))))
	99.3%	(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (.f64 (log.f64 base) (atan2.f64 im re))) (.f64 (log.f64 base) (log.f64 base)))
	99.2%	(/.f64 #s(approx (- (* (* (log base) (atan2 im re)) (pow (log base) 2)) (* (pow (log base) 2) 0)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	50.9%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (pow.f64 (E.f64) (log.f64 (log.f64 base)))))
▶	99.4%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))))
	51.5%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))))
▶	51.4%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))))
✓	99.5%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base)))
✓	51.1%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base)))))
▶	99.4%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal -1 binary64))))

Compiler

Compiled 1 453 to 916 computations (37% saved)

series85.0ms (2.2%)

Memory

6.8MiB live, 197.4MiB allocated; 8ms collecting garbage

Counts

40 → 76

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
12.0ms	base	@	inf	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (/ 1 (/ 1 (log base)))) (atan2 im re) im re (/ 1 (/ 1 (log base))) 1 (/ 1 (log base)) (log base) base (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (/ (atan2 im re) 1) (pow (log base) -1)) (/ (atan2 im re) 1) (pow (log base) -1) -1 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/ 1 (pow (log base) -2))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (log base) (atan2 im re)) (/ 1 (pow (log base) -2)) (pow (log base) -2) -2 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (* (/ 1 (pow (log base) -1/2)) (/ 1 (pow (log base) -1/2)))) (* (/ 1 (pow (log base) -1/2)) (/ 1 (pow (log base) -1/2))) (/ 1 (pow (log base) -1/2)) (pow (log base) -1/2) -1/2 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0))))) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0)))) (+ (pow (log base) 6) 0) (pow (log base) 6) 6 0 (+ (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) (pow (log base) 2) 2)
11.0ms	base	@	-inf	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (/ 1 (/ 1 (log base)))) (atan2 im re) im re (/ 1 (/ 1 (log base))) 1 (/ 1 (log base)) (log base) base (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (/ (atan2 im re) 1) (pow (log base) -1)) (/ (atan2 im re) 1) (pow (log base) -1) -1 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/ 1 (pow (log base) -2))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (log base) (atan2 im re)) (/ 1 (pow (log base) -2)) (pow (log base) -2) -2 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (* (/ 1 (pow (log base) -1/2)) (/ 1 (pow (log base) -1/2)))) (* (/ 1 (pow (log base) -1/2)) (/ 1 (pow (log base) -1/2))) (/ 1 (pow (log base) -1/2)) (pow (log base) -1/2) -1/2 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0))))) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0)))) (+ (pow (log base) 6) 0) (pow (log base) 6) 6 0 (+ (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) (pow (log base) 2) 2)
11.0ms	re	@	-inf	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (/ 1 (/ 1 (log base)))) (atan2 im re) im re (/ 1 (/ 1 (log base))) 1 (/ 1 (log base)) (log base) base (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (/ (atan2 im re) 1) (pow (log base) -1)) (/ (atan2 im re) 1) (pow (log base) -1) -1 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/ 1 (pow (log base) -2))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (log base) (atan2 im re)) (/ 1 (pow (log base) -2)) (pow (log base) -2) -2 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (* (/ 1 (pow (log base) -1/2)) (/ 1 (pow (log base) -1/2)))) (* (/ 1 (pow (log base) -1/2)) (/ 1 (pow (log base) -1/2))) (/ 1 (pow (log base) -1/2)) (pow (log base) -1/2) -1/2 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0))))) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0)))) (+ (pow (log base) 6) 0) (pow (log base) 6) 6 0 (+ (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) (pow (log base) 2) 2)
10.0ms	base	@	0	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (/ 1 (/ 1 (log base)))) (atan2 im re) im re (/ 1 (/ 1 (log base))) 1 (/ 1 (log base)) (log base) base (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (/ (atan2 im re) 1) (pow (log base) -1)) (/ (atan2 im re) 1) (pow (log base) -1) -1 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/ 1 (pow (log base) -2))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (log base) (atan2 im re)) (/ 1 (pow (log base) -2)) (pow (log base) -2) -2 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (* (/ 1 (pow (log base) -1/2)) (/ 1 (pow (log base) -1/2)))) (* (/ 1 (pow (log base) -1/2)) (/ 1 (pow (log base) -1/2))) (/ 1 (pow (log base) -1/2)) (pow (log base) -1/2) -1/2 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0))))) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0)))) (+ (pow (log base) 6) 0) (pow (log base) 6) 6 0 (+ (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) (pow (log base) 2) 2)
9.0ms	im	@	inf	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (/ 1 (/ 1 (log base)))) (atan2 im re) im re (/ 1 (/ 1 (log base))) 1 (/ 1 (log base)) (log base) base (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (/ (atan2 im re) 1) (pow (log base) -1)) (/ (atan2 im re) 1) (pow (log base) -1) -1 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/ 1 (pow (log base) -2))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (log base) (atan2 im re)) (/ 1 (pow (log base) -2)) (pow (log base) -2) -2 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (* (/ 1 (pow (log base) -1/2)) (/ 1 (pow (log base) -1/2)))) (* (/ 1 (pow (log base) -1/2)) (/ 1 (pow (log base) -1/2))) (/ 1 (pow (log base) -1/2)) (pow (log base) -1/2) -1/2 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0))))) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0)))) (+ (pow (log base) 6) 0) (pow (log base) 6) 6 0 (+ (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) (pow (log base) 2) 2)

rewrite61.0ms (1.5%)

Memory

10.6MiB live, 109.3MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	189	1809
0	240	1218
0	597	1218

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

116 → 260

Calls

Call 1

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

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

eval16.0ms (0.4%)

Memory: -9.0MiB live, 37.7MiB allocated; 2ms collecting garbage
Compiler: Compiled 7 326 to 605 computations (91.7% saved)

prune23.0ms (0.6%)

Memory

0.9MiB live, 48.4MiB allocated; 1ms collecting garbage

Pruning

24 alts after pruning (19 fresh and 5 done)

	Pruned	Kept	Total
New	159	9	168
Fresh	3	10	13
Picked	3	2	5
Done	0	3	3
Total	165	24	189

Accuracy

100.0%

Counts

189 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(/.f64 (fma.f64 (log.f64 base) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	22.5%	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (cosh.f64 (-.f64 (log.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 0 binary64))) (log.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))))) (sinh.f64 (.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64)))))
	47.0%	(/.f64 (-.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (exp.f64 (.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64)))) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	98.9%	(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal -2 binary64)))
	99.3%	(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
✓	46.9%	(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (neg.f64 (log.f64 base)))))
	99.2%	(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))
	98.7%	(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (+.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))))
✓	99.2%	(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
	99.3%	(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (.f64 (log.f64 base) (atan2.f64 im re))) (.f64 (log.f64 base) (log.f64 base)))
	99.2%	(/.f64 #s(approx (- (* (* (log base) (atan2 im re)) (pow (log base) 2)) (* (pow (log base) 2) 0)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	99.2%	(.f64 (/.f64 #s(approx (- ( (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)))
	99.3%	(.f64 (/.f64 #s(approx (- ( (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
	51.5%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
	50.9%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (pow.f64 (E.f64) (log.f64 (log.f64 base)))))
	51.6%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (/.f64 (*.f64 (sqrt.f64 (log.f64 base)) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))))
✓	99.4%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))))
	51.5%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))))
	51.2%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal -1/2 binary64)))))))
	51.5%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (sqrt.f64 (log.f64 base)))))
✓	99.5%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base)))
✓	51.1%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base)))))
	51.6%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))))
	99.4%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (atan2.f64 im re)))

Compiler

Compiled 2 684 to 821 computations (69.4% saved)

regimes89.0ms (2.3%)

Memory

-2.4MiB live, 139.4MiB allocated; 9ms collecting garbage

Accuracy

Total -63.7b remaining (-21177.9%)

Threshold costs -63.7b (-21177.9%)

Counts

48 → 1

Calls

Call 1

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

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

Calls

5 calls:

33.0ms	(log.f64 base)
17.0ms	im
12.0ms	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
12.0ms	re
12.0ms	base

Results

Accuracy	Segments	Branch
99.5%	1	`(log.f64 base)`
99.5%	1	`(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #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)

derivations27.0ms (0.7%)

Memory

-2.6MiB live, 41.8MiB allocated; 3ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 35 to 22 computations (37.1% saved)

preprocess11.0ms (0.3%)

Memory: 30.1MiB live, 30.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 126 to 80 computations (36.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze242.0ms (6.1%)

sample1.4s (36.3%)

explain256.0ms (6.5%)

preprocess58.0ms (1.5%)

series164.0ms (4.2%)

rewrite182.0ms (4.6%)

eval34.0ms (0.9%)

prune13.0ms (0.3%)

series401.0ms (10.2%)

rewrite185.0ms (4.7%)

eval96.0ms (2.4%)

prune40.0ms (1%)

series438.0ms (11.1%)

rewrite55.0ms (1.4%)

eval19.0ms (0.5%)

prune17.0ms (0.4%)

series85.0ms (2.2%)

rewrite61.0ms (1.5%)

eval16.0ms (0.4%)

prune23.0ms (0.6%)

regimes89.0ms (2.3%)

derivations27.0ms (0.7%)

preprocess11.0ms (0.3%)

end0.0ms (0%)

Profiling