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

start0.0ms (0%)

Memory: 0.1MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze199.0ms (4.5%)

Memory

13.7MiB live, 345.9MiB allocated; 40ms 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)

sample1.3s (28.4%)

Memory

86.1MiB live, 2 029.7MiB allocated; 359ms collecting garbage

Samples

954.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 681.0ms

ival-hypot: 211.0ms (31% of total)

ival-log: 177.0ms (26% of total)

ival-mult!: 129.0ms (19% of total)

ival-atan2: 75.0ms (11% of total)

ival-add!: 50.0ms (7.3% of total)

ival-div!: 37.0ms (5.4% of total)

adjust: 2.0ms (0.3% of total)

Bogosity

explain402.0ms (9.1%)

Memory

-47.8MiB live, 403.1MiB allocated; 159ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
151	-	1	(1.3948571292818642e-300 3.2421779779393175e-161 3.887729317372893e+148)	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
0	-	0	-	`(log.f64 base)`
0	-	0	-	`(*.f64 re re)`
0	-	0	-	`(atan2.f64 im re)`
0	-	0	-	`im`
0	-	0	-	`(+.f64 (.f64 re re) (.f64 im im))`
0	-	0	-	`re`
0	-	0	-	`(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))`
0	-	0	-	`(+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64)))`
0	-	0	-	`(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))`
0	-	0	-	`#s(literal 0 binary64)`
0	-	0	-	`(*.f64 (atan2.f64 im re) #s(literal 0 binary64))`
0	-	0	-	`(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))`
0	-	0	-	`(*.f64 (log.f64 base) (log.f64 base))`
0	-	0	-	`(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))`
0	-	0	-	`(*.f64 im im)`
0	-	0	-	`base`
0	-	0	-	`(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`	oflow-rescue	138	0
↳	`(+.f64 (.f64 re re) (.f64 im im))`	overflow	138
↳	`(*.f64 re re)`	overflow	77
↳	`(*.f64 im im)`	overflow	77
`sqrt.f64`	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`	uflow-rescue	12	0
↳	`(+.f64 (.f64 re re) (.f64 im im))`	underflow	12
↳	`(*.f64 re re)`	underflow	71
↳	`(*.f64 im im)`	underflow	54

Confusion

	Predicted +	Predicted -
+	150	1
-	0	105

Precision

1.0

Recall

0.9933774834437086

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	150	0	1
-	0	0	105

Precision?

1.0

Recall?

0.9933774834437086

Freqs

test

number	freq
0	106
1	150

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

77.0ms

512×

valid

Compiler

Compiled 270 to 58 computations (78.5% saved)

Precisions

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

ival-log: 26.0ms (46.9% of total)

ival-mult!: 11.0ms (19.9% of total)

ival-hypot: 9.0ms (16.2% of total)

ival-atan2: 4.0ms (7.2% of total)

ival-add!: 3.0ms (5.4% of total)

ival-div!: 2.0ms (3.6% of total)

adjust: 0.0ms (0% of total)

preprocess39.0ms (0.9%)

Memory

-5.5MiB live, 40.1MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	79	209
1	236	189
2	1254	142

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	42.8%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Status

Accuracy

Program

▶

42.8%

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

Symmetry

(abs re)

(abs im)

(sort re im)

Compiler

Compiled 56 to 36 computations (35.7% saved)

series132.0ms (3%)

Memory

11.0MiB live, 243.5MiB allocated; 69ms collecting garbage

Counts

18 → 148

Calls

Call 1

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

Outputs
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (log im) (log base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (* (log base) (log im))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im)))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2))))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* (log base) (log im)) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6))))))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) #s(hole binary64 (* (log base) (log im))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) #s(hole binary64 (+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im)))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) #s(hole binary64 (+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2))))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) #s(hole binary64 (+ (* (log base) (log im)) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6))))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (log im)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 im))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ im (* 1/2 (/ (pow re 2) im)))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im)))))))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (pow im 2)))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (+ (pow im 2) (pow re 2))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx re #s(hole binary64 re))
#s(approx (* (atan2 im re) 0) #s(hole binary64 0))
#s(approx (atan2 im re) #s(hole binary64 (atan2 im re)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (* -1 (/ (log (/ 1 re)) (log base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (* -1 (* (log base) (log (/ 1 re))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) #s(hole binary64 (* -1 (* (log base) (log (/ 1 re))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ 1 re)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 re))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (pow re 2)))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (* -1 (/ (log (/ -1 re)) (log base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (* -1 (* (log base) (log (/ -1 re))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) #s(hole binary64 (* -1 (* (log base) (log (/ -1 re))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ -1 re)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 re)))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (log re) (log base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (* (log base) (log re))))
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#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* (log base) (log re)) (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (log base)) (pow re 4))) (* 1/2 (/ (log base) (pow re 2))))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* (log base) (log re)) (* (pow im 2) (+ (* 1/2 (/ (log base) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (log base) (pow re 4))) (* 1/6 (/ (* (pow im 2) (log base)) (pow re 6))))))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) #s(hole binary64 (* (log base) (log re))))
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#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) #s(hole binary64 (+ (* (log base) (log re)) (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (log base)) (pow re 4))) (* 1/2 (/ (log base) (pow re 2))))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) #s(hole binary64 (+ (* (log base) (log re)) (* (pow im 2) (+ (* 1/2 (/ (log base) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (log base) (pow re 4))) (* 1/6 (/ (* (pow im 2) (log base)) (pow re 6))))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (log re)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log re) (* 1/2 (/ (pow im 2) (pow re 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log re) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log re) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (pow re 6))) (* 1/4 (/ 1 (pow re 4))))) (* 1/2 (/ 1 (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ re (* 1/2 (/ (pow im 2) re)))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re)))))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx im #s(hole binary64 im))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (* -1 (/ (log (/ 1 im)) (log base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (* -1 (* (log base) (log (/ 1 im))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) #s(hole binary64 (* -1 (* (log base) (log (/ 1 im))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ 1 im)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (* -1 (/ (log (/ -1 im)) (log base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (* -1 (* (log base) (log (/ -1 im))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) #s(hole binary64 (* -1 (* (log base) (log (/ -1 im))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) #s(hole binary64 (+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ -1 im)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 im)))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) #s(hole binary64 (* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))))
#s(approx (log base) #s(hole binary64 (log base)))
#s(approx base #s(hole binary64 base))
#s(approx (+ (* (log base) (log base)) (* 0 0)) #s(hole binary64 (pow (log base) 2)))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (log base) 2)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) #s(hole binary64 (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))))
#s(approx (log base) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (+ (* (log base) (log base)) (* 0 0)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(hole binary64 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) #s(hole binary64 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (log base) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 base))))))
#s(approx (+ (* (log base) (log base)) (* 0 0)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))

Calls

9 calls:

Time	Variable		Point	Expression
63.0ms	base	@	0	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) re (* im im) im (log base) base (* (atan2 im re) 0) (atan2 im re) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0))
22.0ms	base	@	-inf	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) re (* im im) im (log base) base (* (atan2 im re) 0) (atan2 im re) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0))
14.0ms	base	@	inf	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) re (* im im) im (log base) base (* (atan2 im re) 0) (atan2 im re) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0))
4.0ms	re	@	inf	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) re (* im im) im (log base) base (* (atan2 im re) 0) (atan2 im re) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0))
3.0ms	re	@	0	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) re (* im im) im (log base) base (* (atan2 im re) 0) (atan2 im re) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0))

rewrite241.0ms (5.4%)

Memory

43.3MiB live, 319.4MiB allocated; 61ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

166 → 383

Calls

Call 1

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

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

eval56.0ms (1.3%)

Memory: -16.3MiB live, 104.3MiB allocated; 25ms collecting garbage
Compiler: Compiled 12 863 to 1 735 computations (86.5% saved)

prune55.0ms (1.2%)

Memory

-4.1MiB live, 42.8MiB allocated; 3ms collecting garbage

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	337	21	358
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	338	21	359

Accuracy

99.8%

Counts

359 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(/.f64 (fma.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	99.3%	(/.f64 (fma.f64 (log.f64 base) (log.f64 (hypot.f64 im re)) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
	99.3%	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) #s(literal 0 binary64)) (-.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	99.1%	(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 0 binary64))))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	42.7%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	42.7%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))
	42.7%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (/.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))))
	42.7%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64))) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	20.2%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	21.9%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (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)))))
	1.8%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (log.f64 (pow.f64 base (log.f64 base))))
▶	20.0%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))))
	0.0%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 #s(literal -1 binary64) re)))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	0.0%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
▶	10.0%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (log.f64 re) (log.f64 base))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	98.4%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (log.f64 im) (log.f64 base))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
▶	99.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
	10.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 re) (log.f64 base)))
▶	98.6%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
	0.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (neg.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))))
	0.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (neg.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))))

Compiler

Compiled 1 360 to 902 computations (33.7% saved)

series363.0ms (8.2%)

Memory

-13.0MiB live, 449.7MiB allocated; 63ms collecting garbage

Counts

40 → 361

Calls

Call 1

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

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

9 calls:

Time	Variable		Point	Expression
80.0ms	base	@	-inf	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) im re (log base) base (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (log base)) (log im) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log re) (log base)) (log re) (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) 0 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (exp (* (log (log base)) 2))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) (* (atan2 im re) 0) (atan2 im re) (exp (* (log (log base)) 2)) (* (log (log base)) 2) (log (log base)) 2 (/ (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2) (* (pow (log base) 2) 0) (pow (log base) 4) 4)
76.0ms	re	@	0	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) im re (log base) base (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (log base)) (log im) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log re) (log base)) (log re) (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) 0 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (exp (* (log (log base)) 2))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) (* (atan2 im re) 0) (atan2 im re) (exp (* (log (log base)) 2)) (* (log (log base)) 2) (log (log base)) 2 (/ (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2) (* (pow (log base) 2) 0) (pow (log base) 4) 4)
58.0ms	base	@	0	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) im re (log base) base (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (log base)) (log im) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log re) (log base)) (log re) (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) 0 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (exp (* (log (log base)) 2))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) (* (atan2 im re) 0) (atan2 im re) (exp (* (log (log base)) 2)) (* (log (log base)) 2) (log (log base)) 2 (/ (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2) (* (pow (log base) 2) 0) (pow (log base) 4) 4)
45.0ms	base	@	inf	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) im re (log base) base (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (log base)) (log im) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log re) (log base)) (log re) (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) 0 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (exp (* (log (log base)) 2))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) (* (atan2 im re) 0) (atan2 im re) (exp (* (log (log base)) 2)) (* (log (log base)) 2) (log (log base)) 2 (/ (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2) (* (pow (log base) 2) 0) (pow (log base) 4) 4)
30.0ms	re	@	inf	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) im re (log base) base (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (log base)) (log im) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log re) (log base)) (log re) (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) 0 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (exp (* (log (log base)) 2))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) (* (atan2 im re) 0) (atan2 im re) (exp (* (log (log base)) 2)) (* (log (log base)) 2) (log (log base)) 2 (/ (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2) (* (pow (log base) 2) 0) (pow (log base) 4) 4)

rewrite197.0ms (4.5%)

Memory

0.2MiB live, 140.8MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	893	13402
0	952	10871
1	3996	10718
0	8516	10208

Stop Event

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

Counts

401 → 838

Calls

Call 1

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

eval68.0ms (1.5%)

Memory: 38.0MiB live, 83.6MiB allocated; 4ms collecting garbage
Compiler: Compiled 27 403 to 2 604 computations (90.5% saved)

prune66.0ms (1.5%)

Memory

-47.5MiB live, 54.3MiB allocated; 35ms collecting garbage

Pruning

31 alts after pruning (29 fresh and 2 done)

	Pruned	Kept	Total
New	699	20	719
Fresh	7	9	16
Picked	3	2	5
Done	0	0	0
Total	709	31	740

Accuracy

99.9%

Counts

740 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(/.f64 (fma.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	99.2%	(/.f64 (fma.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
	99.2%	(/.f64 (fma.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 2 binary64)))
	52.3%	(/.f64 (fma.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 4 binary64))))
	99.2%	(/.f64 (fma.f64 (log.f64 base) (*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	99.3%	(/.f64 (fma.f64 (log.f64 base) (log.f64 (hypot.f64 im re)) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
	99.2%	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) #s(literal 0 binary64)) (-.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (hypot.f64 im re))) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	99.3%	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) #s(literal 0 binary64)) (-.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	99.1%	(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 0 binary64))))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	42.7%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	42.7%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (/.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))))
▶	21.9%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (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)))))
	20.0%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) #s(approx ( (pow (log base) 2) 0) #s(literal 0 binary64))) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))))
	10.0%	(/.f64 #s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 re))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	98.3%	(/.f64 #s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 im))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
▶	0.0%	(/.f64 #s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	0.0%	(/.f64 #s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	0.0%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 #s(literal -1 binary64) re)))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
▶	0.0%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	10.0%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 re) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
	10.0%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 re) (log.f64 base))) (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))
	98.4%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (log.f64 im) (log.f64 base))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	42.8%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base)))
▶	99.4%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))))
✓	99.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
	44.8%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (exp.f64 (log.f64 (log.f64 base)))))
	0.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 #s(approx (sqrt (+ (* im im) (* re re))) (neg.f64 re))) (log.f64 base)))
	0.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 #s(approx (sqrt (+ (* im im) (* re re))) (neg.f64 im))) (log.f64 base)))
▶	10.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 #s(approx (sqrt (+ (* im im) (* re re))) re)) (log.f64 base)))
✓	98.6%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
	44.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base)))))

Compiler

Compiled 2 034 to 1 333 computations (34.5% saved)

series316.0ms (7.1%)

Memory

29.6MiB live, 261.4MiB allocated; 21ms collecting garbage

Counts

52 → 382

Calls

Call 1

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

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

9 calls:

Time	Variable		Point	Expression
96.0ms	base	@	-inf	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (/ 1 (pow (log base) -1))) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) im re (/ 1 (pow (log base) -1)) 1 (pow (log base) -1) (log base) base -1 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (neg (log base)) (log (/ -1 im))) (neg (log base)) (log (/ -1 im)) (/ -1 im) (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) 0 (/ (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (neg (* (log (/ -1 re)) (pow (log base) 3))) (* (log (/ -1 re)) (pow (log base) 3)) (log (/ -1 re)) (/ -1 re) (pow (log base) 3) 3 (pow (log base) 4) 4 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (cosh (* (log (neg (log base))) 2)) (sinh (* (log (neg (log base))) 2)))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) (* (atan2 im re) 0) (atan2 im re) (+ (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))) 2 (sinh (* (log (neg (log base))) 2)))
60.0ms	base	@	0	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (/ 1 (pow (log base) -1))) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) im re (/ 1 (pow (log base) -1)) 1 (pow (log base) -1) (log base) base -1 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (neg (log base)) (log (/ -1 im))) (neg (log base)) (log (/ -1 im)) (/ -1 im) (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) 0 (/ (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (neg (* (log (/ -1 re)) (pow (log base) 3))) (* (log (/ -1 re)) (pow (log base) 3)) (log (/ -1 re)) (/ -1 re) (pow (log base) 3) 3 (pow (log base) 4) 4 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (cosh (* (log (neg (log base))) 2)) (sinh (* (log (neg (log base))) 2)))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) (* (atan2 im re) 0) (atan2 im re) (+ (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))) 2 (sinh (* (log (neg (log base))) 2)))
52.0ms	base	@	inf	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (/ 1 (pow (log base) -1))) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) im re (/ 1 (pow (log base) -1)) 1 (pow (log base) -1) (log base) base -1 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (neg (log base)) (log (/ -1 im))) (neg (log base)) (log (/ -1 im)) (/ -1 im) (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) 0 (/ (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (neg (* (log (/ -1 re)) (pow (log base) 3))) (* (log (/ -1 re)) (pow (log base) 3)) (log (/ -1 re)) (/ -1 re) (pow (log base) 3) 3 (pow (log base) 4) 4 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (cosh (* (log (neg (log base))) 2)) (sinh (* (log (neg (log base))) 2)))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) (* (atan2 im re) 0) (atan2 im re) (+ (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))) 2 (sinh (* (log (neg (log base))) 2)))
18.0ms	im	@	inf	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (/ 1 (pow (log base) -1))) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) im re (/ 1 (pow (log base) -1)) 1 (pow (log base) -1) (log base) base -1 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (neg (log base)) (log (/ -1 im))) (neg (log base)) (log (/ -1 im)) (/ -1 im) (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) 0 (/ (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (neg (* (log (/ -1 re)) (pow (log base) 3))) (* (log (/ -1 re)) (pow (log base) 3)) (log (/ -1 re)) (/ -1 re) (pow (log base) 3) 3 (pow (log base) 4) 4 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (cosh (* (log (neg (log base))) 2)) (sinh (* (log (neg (log base))) 2)))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) (* (atan2 im re) 0) (atan2 im re) (+ (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))) 2 (sinh (* (log (neg (log base))) 2)))
16.0ms	re	@	inf	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (/ 1 (pow (log base) -1))) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) im re (/ 1 (pow (log base) -1)) 1 (pow (log base) -1) (log base) base -1 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (neg (log base)) (log (/ -1 im))) (neg (log base)) (log (/ -1 im)) (/ -1 im) (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) 0 (/ (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (neg (* (log (/ -1 re)) (pow (log base) 3))) (* (log (/ -1 re)) (pow (log base) 3)) (log (/ -1 re)) (/ -1 re) (pow (log base) 3) 3 (pow (log base) 4) 4 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (cosh (* (log (neg (log base))) 2)) (sinh (* (log (neg (log base))) 2)))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) (* (atan2 im re) 0) (atan2 im re) (+ (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))) 2 (sinh (* (log (neg (log base))) 2)))

rewrite220.0ms (5%)

Memory

6.7MiB live, 189.8MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1051	16341
0	1125	13191
1	5124	12589
0	8408	12015

Stop Event

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

Counts

434 → 811

Calls

Call 1

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

eval68.0ms (1.5%)

Memory: -0.0MiB live, 95.2MiB allocated; 20ms collecting garbage
Compiler: Compiled 31 366 to 2 534 computations (91.9% saved)

prune38.0ms (0.9%)

Memory

15.5MiB live, 61.5MiB allocated; 3ms collecting garbage

Pruning

35 alts after pruning (32 fresh and 3 done)

	Pruned	Kept	Total
New	633	15	648
Fresh	7	17	24
Picked	4	1	5
Done	0	2	2
Total	644	35	679

Accuracy

100.0%

Counts

679 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(/.f64 (fma.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
	52.9%	(/.f64 (fma.f64 (log.f64 (hypot.f64 im re)) (log.f64 base) #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)))))
▶	99.2%	(/.f64 (fma.f64 (log.f64 base) (*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	99.3%	(/.f64 (fma.f64 (log.f64 base) (log.f64 (hypot.f64 im re)) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
	99.2%	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) #s(literal 0 binary64)) (-.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (hypot.f64 im re))) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	99.1%	(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 0 binary64))))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	21.8%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (cosh.f64 (-.f64 (log.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)))) (log.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)))))))))) (sinh.f64 (.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64)))))
	20.0%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) #s(approx ( (pow (log base) 2) 0) #s(literal 0 binary64))) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))))
	21.9%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) #s(approx ( (atan2 im re) 0) #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)))))
	10.0%	(/.f64 #s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 re))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	98.3%	(/.f64 #s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 im))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
▶	0.0%	(/.f64 #s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (neg.f64 (*.f64 (neg.f64 (log.f64 (neg.f64 re))) (pow.f64 (log.f64 base) #s(literal 3 binary64))))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	0.0%	(/.f64 #s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3/2 binary64))))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	0.0%	(/.f64 #s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 2 binary64)))
	0.0%	(/.f64 #s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	0.0%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (log.f64 base)) #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	0.0%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 #s(literal -1 binary64) re)))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	0.0%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal -2 binary64)))
	0.0%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
	0.0%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
	10.0%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 re) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
▶	98.4%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (log.f64 im) (log.f64 base))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	42.8%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base)))
	45.3%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))
✓	99.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
	44.8%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (exp.f64 (log.f64 (log.f64 base)))))
	0.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 #s(approx (sqrt (+ (* im im) (* re re))) (neg.f64 re))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))))
	0.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 #s(approx (sqrt (+ (* im im) (* re re))) (neg.f64 re))) (log.f64 base)))
	0.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 #s(approx (sqrt (+ (* im im) (* re re))) (neg.f64 im))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))))
▶	0.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 #s(approx (sqrt (+ (* im im) (* re re))) (neg.f64 im))) (log.f64 base)))
✓	10.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 #s(approx (sqrt (+ (* im im) (* re re))) re)) (log.f64 base)))
✓	98.6%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
	44.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base)))))
	10.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 re)) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))))
▶	99.3%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (log.f64 (hypot.f64 im re)) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal -1 binary64))))

Compiler

Compiled 2 531 to 1 662 computations (34.3% saved)

series214.0ms (4.8%)

Memory

2.8MiB live, 291.2MiB allocated; 36ms collecting garbage

Counts

41 → 365

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
36.0ms	base	@	0	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (/ (log (sqrt (+ (* im im) (* re re)))) 1) (pow (log base) -1)) (/ (log (sqrt (+ (* im im) (* re re)))) 1) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) im re 1 (pow (log base) -1) (log base) base -1 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (neg im) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log im) (log base)) (log im) (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) 0 (/ (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (neg (* (neg (log (neg re))) (pow (log base) 3))) (* (neg (log (neg re))) (pow (log base) 3)) (neg (log (neg re))) (log (neg re)) (neg re) (pow (log base) 3) 3 (pow (log base) 4) 4 (/ (+ (* (log base) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) 0) (pow (log base) 4)) (+ (* (log base) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) 0) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2)) (pow (log base) 2) 2)
31.0ms	base	@	inf	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (/ (log (sqrt (+ (* im im) (* re re)))) 1) (pow (log base) -1)) (/ (log (sqrt (+ (* im im) (* re re)))) 1) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) im re 1 (pow (log base) -1) (log base) base -1 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (neg im) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log im) (log base)) (log im) (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) 0 (/ (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (neg (* (neg (log (neg re))) (pow (log base) 3))) (* (neg (log (neg re))) (pow (log base) 3)) (neg (log (neg re))) (log (neg re)) (neg re) (pow (log base) 3) 3 (pow (log base) 4) 4 (/ (+ (* (log base) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) 0) (pow (log base) 4)) (+ (* (log base) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) 0) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2)) (pow (log base) 2) 2)
29.0ms	base	@	-inf	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (/ (log (sqrt (+ (* im im) (* re re)))) 1) (pow (log base) -1)) (/ (log (sqrt (+ (* im im) (* re re)))) 1) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) im re 1 (pow (log base) -1) (log base) base -1 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (neg im) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log im) (log base)) (log im) (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) 0 (/ (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (neg (* (neg (log (neg re))) (pow (log base) 3))) (* (neg (log (neg re))) (pow (log base) 3)) (neg (log (neg re))) (log (neg re)) (neg re) (pow (log base) 3) 3 (pow (log base) 4) 4 (/ (+ (* (log base) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) 0) (pow (log base) 4)) (+ (* (log base) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) 0) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2)) (pow (log base) 2) 2)
27.0ms	im	@	inf	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (/ (log (sqrt (+ (* im im) (* re re)))) 1) (pow (log base) -1)) (/ (log (sqrt (+ (* im im) (* re re)))) 1) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) im re 1 (pow (log base) -1) (log base) base -1 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (neg im) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log im) (log base)) (log im) (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) 0 (/ (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (neg (* (neg (log (neg re))) (pow (log base) 3))) (* (neg (log (neg re))) (pow (log base) 3)) (neg (log (neg re))) (log (neg re)) (neg re) (pow (log base) 3) 3 (pow (log base) 4) 4 (/ (+ (* (log base) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) 0) (pow (log base) 4)) (+ (* (log base) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) 0) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2)) (pow (log base) 2) 2)
19.0ms	re	@	0	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (/ (log (sqrt (+ (* im im) (* re re)))) 1) (pow (log base) -1)) (/ (log (sqrt (+ (* im im) (* re re)))) 1) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) im re 1 (pow (log base) -1) (log base) base -1 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (neg im) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log im) (log base)) (log im) (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) 0 (/ (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (neg (* (neg (log (neg re))) (pow (log base) 3))) (* (neg (log (neg re))) (pow (log base) 3)) (neg (log (neg re))) (log (neg re)) (neg re) (pow (log base) 3) 3 (pow (log base) 4) 4 (/ (+ (* (log base) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) 0) (pow (log base) 4)) (+ (* (log base) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) 0) (* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2)) (pow (log base) 2) 2)

rewrite201.0ms (4.5%)

Memory

-18.6MiB live, 159.4MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	991	14082
0	1044	11982
1	4684	11447
0	8224	11029

Stop Event

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

Counts

406 → 660

Calls

Call 1

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

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

eval60.0ms (1.4%)

Memory: 29.2MiB live, 86.1MiB allocated; 8ms collecting garbage
Compiler: Compiled 26 659 to 2 184 computations (91.8% saved)

prune47.0ms (1.1%)

Memory

-21.2MiB live, 69.5MiB allocated; 9ms collecting garbage

Pruning

34 alts after pruning (30 fresh and 4 done)

	Pruned	Kept	Total
New	598	14	612
Fresh	11	16	27
Picked	4	1	5
Done	0	3	3
Total	613	34	647

Accuracy

100.0%

Counts

647 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(/.f64 (fma.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
	99.2%	(/.f64 (fma.f64 (log.f64 base) (*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 2 binary64)))
	52.3%	(/.f64 (fma.f64 (log.f64 base) (.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64)) (exp.f64 (.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 4 binary64))))
	99.1%	(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 0 binary64))))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	21.8%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (cosh.f64 (-.f64 (log.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)))) (log.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)))))))))) (sinh.f64 (.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64)))))
	10.0%	(/.f64 #s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 re))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	98.3%	(/.f64 #s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 im))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	0.0%	(/.f64 #s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (neg.f64 (*.f64 (neg.f64 (log.f64 (neg.f64 re))) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3/2 binary64))))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	0.0%	(/.f64 #s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (neg.f64 (*.f64 (neg.f64 (log.f64 (neg.f64 re))) (pow.f64 (log.f64 base) #s(literal 3 binary64))))) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 2 binary64)))
	0.0%	(/.f64 #s(approx (+ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 2)) (* (pow (log base) 2) 0)) (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	0.0%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (log.f64 base)) #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	0.0%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 #s(literal -1 binary64) re)))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	0.0%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
	0.0%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
	10.0%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 re) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
	98.4%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
	42.8%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base)))
✓	99.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
	44.8%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (exp.f64 (log.f64 (log.f64 base)))))
	0.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 #s(approx (sqrt (+ (* im im) (* re re))) (neg.f64 re))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))))
	0.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 #s(approx (sqrt (+ (* im im) (* re re))) (neg.f64 re))) (log.f64 base)))
✓	0.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 #s(approx (sqrt (+ (* im im) (* re re))) (neg.f64 im))) (log.f64 base)))
	0.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 #s(approx (sqrt (+ (* im im) (* re re))) (neg.f64 im))) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))))
✓	10.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 #s(approx (sqrt (+ (* im im) (* re re))) re)) (log.f64 base)))
✓	98.6%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
	44.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base)))))
	46.2%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (log.f64 (hypot.f64 im re)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
	45.3%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (log.f64 (hypot.f64 im re)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
	44.8%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (.f64 (/.f64 (log.f64 (hypot.f64 im re)) #s(literal 1 binary64)) (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64)))))
	0.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (.f64 (/.f64 (log.f64 #s(approx (sqrt (+ ( im im) (* re re))) (neg.f64 re))) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal -1 binary64))))
	0.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (.f64 #s(approx (log (sqrt (+ ( im im) (* re re)))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))) (pow.f64 (log.f64 base) #s(literal -1 binary64))))
	10.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (.f64 #s(approx (log (sqrt (+ ( im im) (* re re)))) (log.f64 re)) (pow.f64 (log.f64 base) #s(literal -1 binary64))))
	98.4%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (.f64 #s(approx (log (sqrt (+ ( im im) (* re re)))) (log.f64 im)) (pow.f64 (log.f64 base) #s(literal -1 binary64))))
	99.2%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (log.f64 (pow.f64 (hypot.f64 im re) (pow.f64 (log.f64 base) #s(literal -1 binary64)))))

Compiler

Compiled 3 933 to 1 179 computations (70% saved)

regimes97.0ms (2.2%)

Memory

19.6MiB live, 114.6MiB allocated; 16ms collecting garbage

Counts

71 → 1

Calls

Call 1

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

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

Calls

5 calls:

24.0ms	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
20.0ms	im
16.0ms	base
16.0ms	re
16.0ms	(log.f64 base)

Results

Accuracy	Segments	Branch
99.5%	1	`(log.f64 base)`
99.5%	1	`(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))`
99.5%	1	`re`
99.5%	1	`im`
99.5%	1	`base`

Compiler

Compiled 33 to 31 computations (6.1% saved)

regimes15.0ms (0.4%)

Memory

-22.6MiB live, 25.2MiB allocated; 1ms collecting garbage

Accuracy

Total -63.1b remaining (-6823.6%)

Threshold costs -63.1b (-6823.6%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

5 calls:

3.0ms	(log.f64 base)
3.0ms	re
3.0ms	base
3.0ms	im
3.0ms	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Results

Accuracy	Segments	Branch
98.6%	1	`(log.f64 base)`
98.6%	1	`(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))`
98.6%	1	`re`
98.6%	1	`im`
98.6%	1	`base`

Compiler

Compiled 33 to 31 computations (6.1% saved)

derivations46.0ms (1%)

Memory

-8.7MiB live, 39.0MiB allocated; 1ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 70 to 26 computations (62.9% saved)

preprocess22.0ms (0.5%)

Memory: 44.0MiB live, 44.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 616 to 358 computations (41.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze199.0ms (4.5%)

sample1.3s (28.4%)

explain402.0ms (9.1%)

preprocess39.0ms (0.9%)

series132.0ms (3%)

rewrite241.0ms (5.4%)

eval56.0ms (1.3%)

prune55.0ms (1.2%)

series363.0ms (8.2%)

rewrite197.0ms (4.5%)

eval68.0ms (1.5%)

prune66.0ms (1.5%)

series316.0ms (7.1%)

rewrite220.0ms (5%)

eval68.0ms (1.5%)

prune38.0ms (0.9%)

series214.0ms (4.8%)

rewrite201.0ms (4.5%)

eval60.0ms (1.4%)

prune47.0ms (1.1%)

regimes97.0ms (2.2%)

regimes15.0ms (0.4%)

derivations46.0ms (1%)

preprocess22.0ms (0.5%)

end0.0ms (0%)

Profiling