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

start0.0ms (0%)

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

analyze174.0ms (3.2%)

Memory

35.9MiB live, 217.1MiB allocated; 52ms 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)

sample1.7s (31.7%)

Memory

65.5MiB live, 1 585.1MiB allocated; 1.0s collecting garbage

Samples

1.4s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-atan2: 328.0ms (30.3% of total)

ival-log: 233.0ms (21.6% of total)

ival-mult!: 209.0ms (19.3% of total)

ival-hypot: 182.0ms (16.8% of total)

ival-add!: 78.0ms (7.2% of total)

ival-div!: 48.0ms (4.4% of total)

adjust: 2.0ms (0.2% of total)

Bogosity

preprocess47.0ms (0.9%)

Memory

-15.4MiB live, 42.4MiB allocated; 12ms 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
▶	49.4%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Status

Accuracy

Program

▶

49.4%

(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (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 44 to 36 computations (18.2% saved)

series157.0ms (2.9%)

Memory

-42.2MiB live, 200.1MiB allocated; 42ms collecting garbage

Counts

18 → 148

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
52.0ms	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))
24.0ms	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))
19.0ms	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))
18.0ms	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	im	@	0	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) re (* im im) im (log base) base (* (atan2 im re) 0) (atan2 im re) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0))

rewrite200.0ms (3.7%)

Memory

37.9MiB live, 214.1MiB allocated; 42ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	541	5513
0	565	4927
1	2886	4895
0	8235	3971

Stop Event

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

Counts

166 → 383

Calls

Call 1

Inputs
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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))
(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))
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#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))))))))
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#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)))))))
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Outputs
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#s(approx (sqrt (+ (* re re) (* im im))) (.f64 (neg.f64 im) (+.f64 (fma.f64 (/.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (.f64 im im) (.f64 im im))) #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 (.f64 (.f64 re re) (.f64 re re)) (.f64 (.f64 im im) (.f64 im im))) #s(literal -1/8 binary64) (fma.f64 (pow.f64 (/.f64 (.f64 re re) (.f64 im im)) #s(literal 3 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 (sqrt.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)) (.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))))))
#s(approx (log base) (log.f64 base))
#s(approx base base)
#s(approx (+ (* (log base) (log base)) (* 0 0)) (*.f64 (log.f64 base) (log.f64 base)))
#s(approx (+ (* (log base) (log base)) (* 0 0)) (*.f64 (log.f64 base) (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 (sqrt.f64 (fma.f64 im im (*.f64 re 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 (sqrt.f64 (fma.f64 im im (.f64 re re)))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (neg.f64 (.f64 (neg.f64 (log.f64 base)) (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))))))
#s(approx (log base) (neg.f64 (neg.f64 (log.f64 base))))
#s(approx (+ (* (log base) (log base)) (* 0 0)) (*.f64 (log.f64 base) (log.f64 base)))
#s(approx (+ (* (log base) (log base)) (* 0 0)) (*.f64 (log.f64 base) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64)))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64)))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64)))))
#s(approx (log base) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64))))
#s(approx (+ (* (log base) (log base)) (* 0 0)) (pow.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64))) #s(literal 2 binary64)))
#s(approx (+ (* (log base) (log base)) (* 0 0)) (pow.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64))) #s(literal 2 binary64)))

eval81.0ms (1.5%)

Memory: 7.6MiB live, 51.8MiB allocated; 10ms collecting garbage
Compiler: Compiled 5 110 to 1 680 computations (67.1% saved)

prune21.0ms (0.4%)

Memory

-13.3MiB live, 30.9MiB allocated; 7ms collecting garbage

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	307	17	324
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	308	17	325

Accuracy

99.7%

Counts

325 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.3%	(/.f64 (fma.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))))) (.f64 (log.f64 base) (log.f64 base)) (.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	47.7%	(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))))) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))))) #s(literal 0 binary64))))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
▶	99.3%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re 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))))
	49.4%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	49.3%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))))
▶	49.3%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (/.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 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))))))
	24.5%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))))
	24.3%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))) (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))) (*.f64 #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)) (neg.f64 (log.f64 (neg.f64 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)) (neg.f64 (log.f64 (neg.f64 im))))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	9.9%	(/.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))))
	98.2%	(/.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))))
▶	49.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base)))
	9.9%	#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)))
▶	98.3%	#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 (neg.f64 (log.f64 (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))) (neg.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 im))) (log.f64 base))))

Compiler

Compiled 910 to 762 computations (16.3% saved)

series367.0ms (6.7%)

Memory

25.2MiB live, 324.9MiB allocated; 56ms collecting garbage

Counts

47 → 294

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
88.0ms	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 im (log base) base (* (atan2 im re) 0) (atan2 im re) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (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 (+ (* im im) (* re re)))) (log base)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re)) (* 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)) (neg (log (neg re)))) (neg (log base)) (neg (log (neg re))) (log (neg re)) (neg re) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 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)) (* im im) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0)))) (+ (pow (log base) 6) 0) (pow (log base) 6) 6 (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))) (pow (log base) 4) 4 (- 0 (* (* (log base) (log base)) 0)) (* (* (log base) (log base)) 0))
70.0ms	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 im (log base) base (* (atan2 im re) 0) (atan2 im re) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (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 (+ (* im im) (* re re)))) (log base)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re)) (* 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)) (neg (log (neg re)))) (neg (log base)) (neg (log (neg re))) (log (neg re)) (neg re) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 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)) (* im im) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0)))) (+ (pow (log base) 6) 0) (pow (log base) 6) 6 (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))) (pow (log base) 4) 4 (- 0 (* (* (log base) (log base)) 0)) (* (* (log base) (log base)) 0))
62.0ms	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 im (log base) base (* (atan2 im re) 0) (atan2 im re) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (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 (+ (* im im) (* re re)))) (log base)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re)) (* 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)) (neg (log (neg re)))) (neg (log base)) (neg (log (neg re))) (log (neg re)) (neg re) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 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)) (* im im) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0)))) (+ (pow (log base) 6) 0) (pow (log base) 6) 6 (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))) (pow (log base) 4) 4 (- 0 (* (* (log base) (log base)) 0)) (* (* (log base) (log base)) 0))
55.0ms	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 im (log base) base (* (atan2 im re) 0) (atan2 im re) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (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 (+ (* im im) (* re re)))) (log base)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re)) (* 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)) (neg (log (neg re)))) (neg (log base)) (neg (log (neg re))) (log (neg re)) (neg re) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 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)) (* im im) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0)))) (+ (pow (log base) 6) 0) (pow (log base) 6) 6 (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))) (pow (log base) 4) 4 (- 0 (* (* (log base) (log base)) 0)) (* (* (log base) (log base)) 0))
20.0ms	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 im (log base) base (* (atan2 im re) 0) (atan2 im re) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (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 (+ (* im im) (* re re)))) (log base)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re)) (* 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)) (neg (log (neg re)))) (neg (log base)) (neg (log (neg re))) (log (neg re)) (neg re) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 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)) (* im im) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0)))) (+ (pow (log base) 6) 0) (pow (log base) 6) 6 (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))) (pow (log base) 4) 4 (- 0 (* (* (log base) (log base)) 0)) (* (* (log base) (log base)) 0))

rewrite251.0ms (4.6%)

Memory

-6.9MiB live, 369.9MiB allocated; 75ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	752	9947
0	825	7945
1	3372	7865
0	9120	7508

Stop Event

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

Counts

341 → 1 042

Calls

Call 1

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

Outputs
(.f64 (/.f64 (fma.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base) #s(literal 0 binary64)))) (neg.f64 (neg.f64 (.f64 (log.f64 base) (log.f64 base)))))
(/.f64 (.f64 (fma.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base) #s(literal 0 binary64)) (-.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) #s(literal 0 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (.f64 (fma.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 12 binary64)) #s(literal 0 binary64))) (.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))))))
(/.f64 (fma.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (neg.f64 (fma.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base) #s(literal 0 binary64))) (neg.f64 (.f64 (log.f64 base) (log.f64 base))))
(/.f64 (fma.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base) #s(literal 0 binary64)) (.f64 (log.f64 base) (log.f64 base)))
(+.f64 (/.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 #s(literal 0 binary64) (.f64 (log.f64 base) (log.f64 base))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base)) #s(literal 2 binary64)) #s(literal 0 binary64))) (neg.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base)) #s(literal 3 binary64)) #s(literal 0 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base)) #s(literal 0 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base)) #s(literal 2 binary64)) #s(literal 0 binary64)) (-.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base)) #s(literal 0 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base)) #s(literal 0 binary64)))))
(fma.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) #s(literal 0 binary64))
(-.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base)) (*.f64 (neg.f64 (atan2.f64 im re)) #s(literal 0 binary64)))
(+.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base)))
(log.f64 (.f64 (pow.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) (log.f64 base)) #s(literal 1 binary64)))
(log.f64 (.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) (log.f64 base))))
(.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base))
(.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))))
(log.f64 (pow.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) (log.f64 base)))
(.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re))))
(log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))
(pow.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1 binary64))
(pow.f64 (fma.f64 im im (*.f64 re re)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (.f64 im im) (.f64 im im)))) (sqrt.f64 (-.f64 (.f64 re re) (.f64 im im))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 (.f64 re re) (.f64 re re)))) (sqrt.f64 (-.f64 (.f64 im im) (.f64 re re))))
(/.f64 (hypot.f64 (.f64 (.f64 re re) re) (.f64 (.f64 im im) im)) (sqrt.f64 (fma.f64 (.f64 re re) (.f64 re re) (-.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 (.f64 re re) (.f64 im im))))))
(/.f64 (hypot.f64 (.f64 (.f64 im im) im) (.f64 (.f64 re re) re)) (sqrt.f64 (fma.f64 (.f64 im im) (.f64 im im) (-.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (.f64 im im) (.f64 re re))))))
(sqrt.f64 (fma.f64 im im (*.f64 re re)))
(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 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 (neg.f64 im)) (neg.f64 (fabs.f64 re)))
(hypot.f64 (neg.f64 (neg.f64 im)) (neg.f64 (neg.f64 re)))
(hypot.f64 (neg.f64 (neg.f64 im)) (fabs.f64 (fabs.f64 re)))
(hypot.f64 (neg.f64 (neg.f64 im)) (fabs.f64 re))
(hypot.f64 (neg.f64 (neg.f64 im)) (neg.f64 re))
(hypot.f64 (neg.f64 (neg.f64 im)) re)
(hypot.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 re)))
(hypot.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (neg.f64 re)))
(hypot.f64 (neg.f64 (fabs.f64 im)) (fabs.f64 (fabs.f64 re)))
(hypot.f64 (neg.f64 (fabs.f64 im)) (fabs.f64 re))
(hypot.f64 (neg.f64 (fabs.f64 im)) (neg.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 (fabs.f64 re)))
(hypot.f64 (fabs.f64 (fabs.f64 im)) (neg.f64 (neg.f64 re)))
(hypot.f64 (fabs.f64 (fabs.f64 im)) (fabs.f64 (fabs.f64 re)))
(hypot.f64 (fabs.f64 (fabs.f64 im)) (fabs.f64 re))
(hypot.f64 (fabs.f64 (fabs.f64 im)) (neg.f64 re))
(hypot.f64 (fabs.f64 (fabs.f64 im)) re)
(hypot.f64 (neg.f64 im) (neg.f64 (fabs.f64 re)))
(hypot.f64 (neg.f64 im) (neg.f64 (neg.f64 re)))
(hypot.f64 (neg.f64 im) (fabs.f64 (fabs.f64 re)))
(hypot.f64 (neg.f64 im) (fabs.f64 re))
(hypot.f64 (neg.f64 im) (neg.f64 re))
(hypot.f64 (neg.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 (fabs.f64 im) (neg.f64 (fabs.f64 re)))
(hypot.f64 (fabs.f64 im) (neg.f64 (neg.f64 re)))
(hypot.f64 (fabs.f64 im) (fabs.f64 (fabs.f64 re)))
(hypot.f64 (fabs.f64 im) (fabs.f64 re))
(hypot.f64 (fabs.f64 im) (neg.f64 re))
(hypot.f64 (fabs.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 im (neg.f64 (fabs.f64 re)))
(hypot.f64 im (neg.f64 (neg.f64 re)))
(hypot.f64 im (fabs.f64 (fabs.f64 re)))
(hypot.f64 im (fabs.f64 re))
(hypot.f64 im (neg.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)))
re
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 (neg.f64 (neg.f64 (log.f64 base))) (neg.f64 (neg.f64 (log.f64 base))))
(*.f64 (fabs.f64 (log.f64 base)) (fabs.f64 (log.f64 base)))
(*.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 base)))
(.f64 #s(literal 1 binary64) (.f64 (log.f64 base) (log.f64 base)))
(.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal 1 binary64))
(*.f64 (log.f64 base) (log.f64 base))
(pow.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 base)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (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 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))) (neg.f64 (-.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))))
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#s(approx (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (+.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 im))) (log.f64 base))) (fma.f64 (/.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (.f64 (.f64 im im) (.f64 im im)) (log.f64 base))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 re re) re) (.f64 (.f64 re re) re)) #s(literal 120 binary64)) (.f64 (.f64 (.f64 (.f64 im im) im) (.f64 (.f64 im im) im)) (log.f64 base))) #s(literal 1/720 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 (*.f64 im im) (log.f64 base)))))))
#s(approx (log (sqrt (+ (* im im) (* re re)))) (neg.f64 (neg.f64 (log.f64 (neg.f64 im)))))
#s(approx (log (sqrt (+ (* im im) (* re re)))) (fma.f64 (/.f64 (.f64 re re) (.f64 im im)) #s(literal 1/2 binary64) (neg.f64 (neg.f64 (log.f64 (neg.f64 im))))))
#s(approx (log (sqrt (+ (* im im) (* re re)))) (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 im)))) (fma.f64 (/.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (.f64 im im) (.f64 im im))) #s(literal -1/4 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (*.f64 im im)))))
#s(approx (log (sqrt (+ (* im im) (* re re)))) (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 im)))) (fma.f64 (/.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (.f64 im im) (.f64 im im))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 re re) re) (.f64 (.f64 re re) re)) #s(literal 120 binary64)) (.f64 (.f64 (.f64 im im) im) (.f64 (.f64 im im) im))) #s(literal 1/720 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 im im))))))
#s(approx (sqrt (+ (* im im) (* re re))) (neg.f64 im))
#s(approx (sqrt (+ (* im im) (* re re))) (.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 (+ (* im im) (* re re))) (.f64 (neg.f64 im) (+.f64 (fma.f64 (/.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (.f64 im im) (.f64 im im))) #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 (+ (* im im) (* re re))) (.f64 (neg.f64 im) (+.f64 (fma.f64 (/.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (.f64 im im) (.f64 im im))) #s(literal -1/8 binary64) (fma.f64 (pow.f64 (/.f64 (.f64 re re) (.f64 im im)) #s(literal 3 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)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))))) (neg.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 im))) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))))) (fma.f64 (/.f64 (.f64 re re) (.f64 (*.f64 im im) (log.f64 base))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 im))) (log.f64 base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))))) (+.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 im))) (log.f64 base))) (fma.f64 (/.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (.f64 (.f64 im im) (.f64 im im)) (log.f64 base))) #s(literal -1/4 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 (*.f64 im im) (log.f64 base))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))))) (+.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 im))) (log.f64 base))) (fma.f64 (/.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (.f64 (.f64 im im) (.f64 im im)) (log.f64 base))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 re re) re) (.f64 (.f64 re re) re)) #s(literal 120 binary64)) (.f64 (.f64 (.f64 (.f64 im im) im) (.f64 (.f64 im im) im)) (log.f64 base))) #s(literal 1/720 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 (*.f64 im im) (log.f64 base)))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))))) (/.f64 (log.f64 (sqrt.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)) (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base)))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base)))
#s(approx (log base) (log.f64 base))
#s(approx base base)
#s(approx (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0)))) (*.f64 (log.f64 base) (log.f64 base)))
#s(approx (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0)))) (*.f64 (log.f64 base) (log.f64 base)))
#s(approx (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base)))
#s(approx (* (neg (log base)) (neg (log (neg re)))) (*.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
#s(approx (neg (log base)) (neg.f64 (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))))) (/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base)))
#s(approx (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0)))) (*.f64 (log.f64 base) (log.f64 base)))
#s(approx (+ (pow (log base) 6) 0) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
#s(approx (+ (pow (log base) 6) 0) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
#s(approx (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
#s(approx (pow (log base) 4) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
#s(approx (- 0 (* (* (log base) (log base)) 0)) #s(literal 0 binary64))
#s(approx (- 0 (* (* (log base) (log base)) 0)) #s(literal 0 binary64))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))))) (neg.f64 (/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re 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 (sqrt.f64 (fma.f64 im im (.f64 re re)))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (neg.f64 (.f64 (neg.f64 (log.f64 base)) (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))))))
#s(approx (log base) (neg.f64 (neg.f64 (log.f64 base))))
#s(approx (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0)))) (*.f64 (log.f64 base) (log.f64 base)))
#s(approx (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0)))) (*.f64 (log.f64 base) (log.f64 base)))
#s(approx (/ (log im) (log base)) (/.f64 (log.f64 im) (log.f64 base)))
#s(approx (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (neg.f64 (/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (neg.f64 (log.f64 base)))))
#s(approx (* (neg (log base)) (neg (log (neg re)))) (*.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 (neg.f64 re)))))
#s(approx (neg (log base)) (neg.f64 (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))))) (neg.f64 (/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (neg.f64 (log.f64 base)))))
#s(approx (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0)))) (*.f64 (log.f64 base) (log.f64 base)))
#s(approx (+ (pow (log base) 6) 0) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
#s(approx (+ (pow (log base) 6) 0) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
#s(approx (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
#s(approx (pow (log base) 4) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))))) (/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64)))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64)))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64)))))
#s(approx (log base) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64))))
#s(approx (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0)))) (pow.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64))) #s(literal 2 binary64)))
#s(approx (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0)))) (pow.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64))) #s(literal 2 binary64)))
#s(approx (/ (log im) (log base)) (/.f64 (log.f64 im) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64)))))
#s(approx (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64)))))
#s(approx (* (neg (log base)) (neg (log (neg re)))) (.f64 (log.f64 (neg.f64 re)) (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64)))))
#s(approx (neg (log base)) (neg.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))))) (/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64)))))
#s(approx (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0)))) (pow.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64))) #s(literal 2 binary64)))
#s(approx (+ (pow (log base) 6) 0) (pow.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64))) #s(literal 6 binary64)))
#s(approx (+ (pow (log base) 6) 0) (pow.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64))) #s(literal 6 binary64)))
#s(approx (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))) (pow.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64))) #s(literal 4 binary64)))
#s(approx (pow (log base) 4) (pow.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64))) #s(literal 4 binary64)))

eval77.0ms (1.4%)

Memory: -7.3MiB live, 226.6MiB allocated; 36ms collecting garbage
Compiler: Compiled 8 683 to 2 716 computations (68.7% saved)

prune43.0ms (0.8%)

Memory

13.6MiB live, 113.7MiB allocated; 8ms collecting garbage

Pruning

36 alts after pruning (34 fresh and 2 done)

	Pruned	Kept	Total
New	603	29	632
Fresh	7	5	12
Picked	3	2	5
Done	0	0	0
Total	613	36	649

Accuracy

99.9%

Counts

649 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.3%	(/.f64 (fma.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	99.0%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (/.f64 (fma.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 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 4 binary64)) #s(literal 0 binary64)))))
	99.1%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))))
	99.1%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re 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 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))))
▶	52.8%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))))
▶	99.3%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx (- 0 ( (* (log base) (log base)) 0)) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	49.2%	(/.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 (pow.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))))))
	49.1%	(/.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 (pow.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))))))
	49.2%	(/.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 (pow.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))))))
	49.3%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 12 binary64)) #s(literal 0 binary64)) (-.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 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))))))
	49.3%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))))
	49.3%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (/.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 0 binary64)) (/.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 12 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)))))))
	49.2%	(/.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 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 0 binary64)) (+.f64 (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))) (.f64 (-.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)) (-.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))))))
	23.8%	(/.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 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 0 binary64)) (+.f64 (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))))))
	49.3%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (/.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 0 binary64)) #s(approx (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
▶	24.3%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))) (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	49.3%	(/.f64 (.f64 (fma.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base) #s(literal 0 binary64)) (-.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) #s(literal 0 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))))
	49.2%	(/.f64 (.f64 (fma.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 12 binary64)) #s(literal 0 binary64))) (.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))))))
	0.0%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 (neg.f64 re))))) (pow.f64 (exp.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)) (neg.f64 (log.f64 (neg.f64 re))))) (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (.f64 (log.f64 base) (log.f64 base)) #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)) (neg.f64 (log.f64 (neg.f64 re))))) (.f64 (log.f64 base) (log.f64 base)))
	0.0%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 (neg.f64 re))))) (exp.f64 (.f64 (log.f64 (neg.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)) (neg.f64 (log.f64 (neg.f64 im))))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	9.9%	(/.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))))
	98.2%	(/.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))))
	0.0%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (exp.f64 (.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 1 binary64))) (neg.f64 (log.f64 (neg.f64 re))))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	49.3%	(.f64 (/.f64 (fma.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)))
▶	9.9%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))))) (/.f64 (log.f64 re) (log.f64 base)))
	0.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))))) (neg.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 re))) (log.f64 base))))
	0.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))))) (neg.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 im))) (log.f64 base))))
	49.4%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))))
✓	49.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base)))
	24.2%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))))
	98.3%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))))
✓	98.3%	#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)))
	44.8%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))))

Compiler

Compiled 2 017 to 1 741 computations (13.7% saved)

series601.0ms (11%)

Memory

-10.1MiB live, 852.4MiB allocated; 260ms collecting garbage

Counts

46 → 386

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
170.0ms	base	@	0	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (- 0 (* (* (log base) (log base)) 0))) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (- 0 (* (* (log base) (log base)) 0))) (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) re im (log base) base (- 0 (* (* (log base) (log base)) 0)) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))))) (/ (log re) (log base)) (log 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)) (neg (log (neg im)))) (neg (log base)) (neg (log (neg im))) (log (neg im)) (neg im) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (exp (* (log (neg (log base))) 2))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (atan2 im re) 0) (atan2 im re) (exp (* (log (neg (log base))) 2)) (* (log (neg (log base))) 2) (log (neg (log base))) 2 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (exp (* (log (log base)) 1))) (* (atan2 im re) 0)) (+ (* (exp (* (log (log base)) 1)) (exp (* (log (log base)) 1))) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (exp (* (log (log base)) 1))) (* (atan2 im re) 0)) (* (log (sqrt (+ (* re re) (* im im)))) (exp (* (log (log base)) 1))) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) (exp (* (log (log base)) 1)) (* (log (log base)) 1) (log (log base)) 1 (+ (* (exp (* (log (log base)) 1)) (exp (* (log (log base)) 1))) (* 0 0)) (* (exp (* (log (log base)) 1)) (exp (* (log (log base)) 1))))
141.0ms	base	@	inf	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (- 0 (* (* (log base) (log base)) 0))) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (- 0 (* (* (log base) (log base)) 0))) (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) re im (log base) base (- 0 (* (* (log base) (log base)) 0)) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))))) (/ (log re) (log base)) (log 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)) (neg (log (neg im)))) (neg (log base)) (neg (log (neg im))) (log (neg im)) (neg im) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (exp (* (log (neg (log base))) 2))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (atan2 im re) 0) (atan2 im re) (exp (* (log (neg (log base))) 2)) (* (log (neg (log base))) 2) (log (neg (log base))) 2 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (exp (* (log (log base)) 1))) (* (atan2 im re) 0)) (+ (* (exp (* (log (log base)) 1)) (exp (* (log (log base)) 1))) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (exp (* (log (log base)) 1))) (* (atan2 im re) 0)) (* (log (sqrt (+ (* re re) (* im im)))) (exp (* (log (log base)) 1))) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) (exp (* (log (log base)) 1)) (* (log (log base)) 1) (log (log base)) 1 (+ (* (exp (* (log (log base)) 1)) (exp (* (log (log base)) 1))) (* 0 0)) (* (exp (* (log (log base)) 1)) (exp (* (log (log base)) 1))))
122.0ms	base	@	-inf	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (- 0 (* (* (log base) (log base)) 0))) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (- 0 (* (* (log base) (log base)) 0))) (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) re im (log base) base (- 0 (* (* (log base) (log base)) 0)) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))))) (/ (log re) (log base)) (log 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)) (neg (log (neg im)))) (neg (log base)) (neg (log (neg im))) (log (neg im)) (neg im) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (exp (* (log (neg (log base))) 2))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (atan2 im re) 0) (atan2 im re) (exp (* (log (neg (log base))) 2)) (* (log (neg (log base))) 2) (log (neg (log base))) 2 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (exp (* (log (log base)) 1))) (* (atan2 im re) 0)) (+ (* (exp (* (log (log base)) 1)) (exp (* (log (log base)) 1))) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (exp (* (log (log base)) 1))) (* (atan2 im re) 0)) (* (log (sqrt (+ (* re re) (* im im)))) (exp (* (log (log base)) 1))) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) (exp (* (log (log base)) 1)) (* (log (log base)) 1) (log (log base)) 1 (+ (* (exp (* (log (log base)) 1)) (exp (* (log (log base)) 1))) (* 0 0)) (* (exp (* (log (log base)) 1)) (exp (* (log (log base)) 1))))
49.0ms	im	@	0	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (- 0 (* (* (log base) (log base)) 0))) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (- 0 (* (* (log base) (log base)) 0))) (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) re im (log base) base (- 0 (* (* (log base) (log base)) 0)) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))))) (/ (log re) (log base)) (log 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)) (neg (log (neg im)))) (neg (log base)) (neg (log (neg im))) (log (neg im)) (neg im) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (exp (* (log (neg (log base))) 2))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (atan2 im re) 0) (atan2 im re) (exp (* (log (neg (log base))) 2)) (* (log (neg (log base))) 2) (log (neg (log base))) 2 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (exp (* (log (log base)) 1))) (* (atan2 im re) 0)) (+ (* (exp (* (log (log base)) 1)) (exp (* (log (log base)) 1))) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (exp (* (log (log base)) 1))) (* (atan2 im re) 0)) (* (log (sqrt (+ (* re re) (* im im)))) (exp (* (log (log base)) 1))) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) (exp (* (log (log base)) 1)) (* (log (log base)) 1) (log (log base)) 1 (+ (* (exp (* (log (log base)) 1)) (exp (* (log (log base)) 1))) (* 0 0)) (* (exp (* (log (log base)) 1)) (exp (* (log (log base)) 1))))
29.0ms	im	@	inf	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (- 0 (* (* (log base) (log base)) 0))) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (- 0 (* (* (log base) (log base)) 0))) (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) re im (log base) base (- 0 (* (* (log base) (log base)) 0)) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))))) (/ (log re) (log base)) (log 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)) (neg (log (neg im)))) (neg (log base)) (neg (log (neg im))) (log (neg im)) (neg im) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (exp (* (log (neg (log base))) 2))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (atan2 im re) 0) (atan2 im re) (exp (* (log (neg (log base))) 2)) (* (log (neg (log base))) 2) (log (neg (log base))) 2 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (exp (* (log (log base)) 1))) (* (atan2 im re) 0)) (+ (* (exp (* (log (log base)) 1)) (exp (* (log (log base)) 1))) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (exp (* (log (log base)) 1))) (* (atan2 im re) 0)) (* (log (sqrt (+ (* re re) (* im im)))) (exp (* (log (log base)) 1))) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) (exp (* (log (log base)) 1)) (* (log (log base)) 1) (log (log base)) 1 (+ (* (exp (* (log (log base)) 1)) (exp (* (log (log base)) 1))) (* 0 0)) (* (exp (* (log (log base)) 1)) (exp (* (log (log base)) 1))))

rewrite257.0ms (4.7%)

Memory

7.4MiB live, 243.0MiB allocated; 105ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	857	15511
0	929	12022
1	3588	11868
0	8401	11260

Stop Event

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

Counts

432 → 1 013

Calls

Call 1

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

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

eval65.0ms (1.2%)

Memory: 10.7MiB live, 109.6MiB allocated; 14ms collecting garbage
Compiler: Compiled 10 239 to 2 771 computations (72.9% saved)

prune41.0ms (0.7%)

Memory

-26.3MiB live, 65.6MiB allocated; 9ms collecting garbage

Pruning

36 alts after pruning (33 fresh and 3 done)

	Pruned	Kept	Total
New	687	13	700
Fresh	9	20	29
Picked	4	1	5
Done	0	2	2
Total	700	36	736

Accuracy

99.9%

Counts

736 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.3%	(/.f64 (fma.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	44.6%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (log.f64 base)))) #s(approx (- 0 ( (* (log base) (log base)) 0)) #s(literal 0 binary64))) (+.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (log.f64 base))) (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (log.f64 base)))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	52.8%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx (- 0 ( (* (log base) (log base)) 0)) #s(literal 0 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (neg.f64 (log.f64 base)))))
	99.0%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx (- 0 ( (* (log base) (log base)) 0)) #s(literal 0 binary64))) (/.f64 (fma.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 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 4 binary64)) #s(literal 0 binary64)))))
	99.1%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx (- 0 ( (* (log base) (log base)) 0)) #s(literal 0 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))))
	99.1%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx (- 0 ( (* (log base) (log base)) 0)) #s(literal 0 binary64))) (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))))
▶	99.3%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx (- 0 ( (* (log base) (log base)) 0)) #s(literal 0 binary64))) (*.f64 (log.f64 base) (log.f64 base)))
	44.9%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (exp.f64 (log.f64 (log.f64 base)))) #s(approx (- 0 ( (* (log base) (log base)) 0)) #s(literal 0 binary64))) (+.f64 (.f64 (exp.f64 (log.f64 (log.f64 base))) (exp.f64 (log.f64 (log.f64 base)))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	49.2%	(/.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 (pow.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))))))
	49.1%	(/.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 (pow.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))))))
	49.3%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 12 binary64)) #s(literal 0 binary64)) (-.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 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))))))
	23.8%	(/.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 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 0 binary64)) (+.f64 (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))))))
▶	49.3%	(/.f64 (.f64 (fma.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base) #s(literal 0 binary64)) (-.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) #s(literal 0 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))))
	49.2%	(/.f64 (.f64 (fma.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 12 binary64)) #s(literal 0 binary64))) (.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))))))
	0.0%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 (neg.f64 re))))) (pow.f64 (exp.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)) (neg.f64 (log.f64 (neg.f64 re))))) (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (.f64 (log.f64 base) (log.f64 base)) #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)) (neg.f64 (log.f64 (neg.f64 re))))) (.f64 (log.f64 base) (log.f64 base)))
	0.0%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 (neg.f64 re))))) (exp.f64 (.f64 (log.f64 (neg.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)) (neg.f64 (log.f64 (neg.f64 im))))) (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 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)) (neg.f64 (log.f64 (neg.f64 im))))) (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (.f64 (log.f64 base) (log.f64 base)) #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)) (neg.f64 (log.f64 (neg.f64 im))))) (.f64 (log.f64 base) (log.f64 base)))
▶	9.9%	(/.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))))
	98.2%	(/.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))))
	0.0%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (exp.f64 (.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 1 binary64))) (neg.f64 (log.f64 (neg.f64 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 (exp.f64 (log.f64 (neg.f64 (log.f64 base)))) (neg.f64 (log.f64 (neg.f64 im))))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	49.3%	(.f64 (/.f64 (fma.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)))
	0.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))))) (/.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 im)))) (log.f64 base)))
	9.9%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))))) (/.f64 (log.f64 re) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))))
✓	9.9%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))))) (/.f64 (log.f64 re) (log.f64 base)))
▶	0.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))))) (neg.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 re))) (log.f64 base))))
	49.4%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))))
✓	49.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base)))
	24.2%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))))
	98.3%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))))
✓	98.3%	#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)))
	44.8%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))))

Compiler

Compiled 1 990 to 1 738 computations (12.7% saved)

series235.0ms (4.3%)

Memory

46.1MiB live, 324.9MiB allocated; 44ms collecting garbage

Counts

46 → 441

Calls

Call 1

Inputs
(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx (- 0 ( (* (log base) (log base)) 0)) #s(literal 0 binary64))) (*.f64 (log.f64 base) (log.f64 base)))
(+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx (- 0 ( (* (log base) (log base)) 0)) #s(literal 0 binary64)))
(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(log.f64 (hypot.f64 re im))
(hypot.f64 re im)
re
im
(log.f64 base)
base
#s(approx (- 0 (* (* (log base) (log base)) 0)) #s(literal 0 binary64))
#s(literal 0 binary64)
(*.f64 (log.f64 base) (log.f64 base))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))))) (neg.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 re))) (log.f64 base))))
(neg.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 re))) (log.f64 base)))
(/.f64 (neg.f64 (log.f64 (neg.f64 re))) (log.f64 base))
(neg.f64 (log.f64 (neg.f64 re)))
(log.f64 (neg.f64 re))
(neg.f64 re)
(/.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 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 (neg.f64 re))))) (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 (neg.f64 re)))))
(*.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 (neg.f64 re))))
(neg.f64 (log.f64 base))
(/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)))
(-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))
(pow.f64 (log.f64 base) #s(literal 4 binary64))
#s(literal 4 binary64)
(-.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))
(/.f64 (.f64 (fma.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base) #s(literal 0 binary64)) (-.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) #s(literal 0 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))))
(.f64 (fma.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base) #s(literal 0 binary64)) (-.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) #s(literal 0 binary64)))
(fma.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base) #s(literal 0 binary64))
(log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))
(sqrt.f64 (fma.f64 im im (*.f64 re re)))
(fma.f64 im im (*.f64 re re))
(*.f64 re re)
(-.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) #s(literal 0 binary64))
(pow.f64 (log.f64 base) #s(literal 8 binary64))
#s(literal 8 binary64)
(*.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)))
(pow.f64 (log.f64 base) #s(literal 6 binary64))
#s(literal 6 binary64)

Outputs
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (- 0 (* (* (log base) (log base)) 0))) (* (log base) (log base))) #s(hole binary64 (/ (log im) (log base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (- 0 (* (* (log base) (log base)) 0))) (* (log base) (log base))) #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)) (- 0 (* (* (log base) (log base)) 0))) (* (log base) (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 (+ (* re re) (* im im)))) (log base)) (- 0 (* (* (log base) (log base)) 0))) (* (log base) (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 (+ (* re re) (* im im)))) (log base)) (- 0 (* (* (log base) (log base)) 0))) #s(hole binary64 (* (log base) (log im))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (- 0 (* (* (log base) (log base)) 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)) (- 0 (* (* (log base) (log base)) 0))) #s(hole binary64 (+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2))))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (- 0 (* (* (log base) (log base)) 0))) #s(hole binary64 (+ (* (log base) (log im)) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6))))))))))
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#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (- 0 (* (* (log base) (log base)) 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)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))))) #s(hole binary64 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (neg (/ (neg (log (neg re))) (log base))) #s(hole binary64 (/ (log (neg re)) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (neg (log (neg re))) (log base)) #s(hole binary64 (* -1 (/ (log (neg re)) (+ (log -1) (* -1 (log (/ -1 base))))))))
#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 re) (log base)) #s(hole binary64 (* (log re) (+ (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 (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (- (pow (log base) 4) 0) (- (* (log base) (log base)) 0))) #s(hole binary64 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (* (neg (log base)) (neg (log (neg re)))) #s(hole binary64 (* (log (neg re)) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (neg (log base)) #s(hole binary64 (* -1 (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (- (pow (log base) 4) 0) (- (* (log base) (log base)) 0)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (- (pow (log base) 4) 0) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)))
#s(approx (- (* (log base) (log base)) 0) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (/ (* (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (- (pow (log base) 8) 0)) (* (pow (log base) 6) (- (pow (log base) 4) 0))) #s(hole binary64 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (* (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (- (pow (log base) 8) 0)) #s(hole binary64 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 9))))
#s(approx (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) #s(hole binary64 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (- (pow (log base) 8) 0) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 8)))
#s(approx (pow (log base) 8) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 8)))
#s(approx (* (pow (log base) 6) (- (pow (log base) 4) 0)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 10)))
#s(approx (pow (log base) 6) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 6)))

Calls

9 calls:

Time	Variable		Point	Expression
53.0ms	base	@	inf	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (- 0 (* (* (log base) (log base)) 0))) (* (log base) (log base))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (- 0 (* (* (log base) (log base)) 0))) (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) re im (log base) base (- 0 (* (* (log base) (log base)) 0)) 0 (* (log base) (log base)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))))) (neg (/ (neg (log (neg re))) (log base))) (/ (neg (log (neg re))) (log base)) (neg (log (neg re))) (log (neg re)) (neg 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)) (* (log re) (log base)) (log re) (+ (* (log base) (log base)) (* 0 0)) (* 0 0) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (- (pow (log base) 4) 0) (- (* (log base) (log base)) 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (neg (log base)) (neg (log (neg re)))) (neg (log base)) (/ (- (pow (log base) 4) 0) (- (* (log base) (log base)) 0)) (- (pow (log base) 4) 0) (pow (log base) 4) 4 (- (* (log base) (log base)) 0) (/ (* (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (- (pow (log base) 8) 0)) (* (pow (log base) 6) (- (pow (log base) 4) 0))) (* (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (- (pow (log base) 8) 0)) (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re)) (* re re) (- (pow (log base) 8) 0) (pow (log base) 8) 8 (* (pow (log base) 6) (- (pow (log base) 4) 0)) (pow (log base) 6) 6)
52.0ms	base	@	0	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (- 0 (* (* (log base) (log base)) 0))) (* (log base) (log base))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (- 0 (* (* (log base) (log base)) 0))) (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) re im (log base) base (- 0 (* (* (log base) (log base)) 0)) 0 (* (log base) (log base)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))))) (neg (/ (neg (log (neg re))) (log base))) (/ (neg (log (neg re))) (log base)) (neg (log (neg re))) (log (neg re)) (neg 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)) (* (log re) (log base)) (log re) (+ (* (log base) (log base)) (* 0 0)) (* 0 0) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (- (pow (log base) 4) 0) (- (* (log base) (log base)) 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (neg (log base)) (neg (log (neg re)))) (neg (log base)) (/ (- (pow (log base) 4) 0) (- (* (log base) (log base)) 0)) (- (pow (log base) 4) 0) (pow (log base) 4) 4 (- (* (log base) (log base)) 0) (/ (* (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (- (pow (log base) 8) 0)) (* (pow (log base) 6) (- (pow (log base) 4) 0))) (* (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (- (pow (log base) 8) 0)) (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re)) (* re re) (- (pow (log base) 8) 0) (pow (log base) 8) 8 (* (pow (log base) 6) (- (pow (log base) 4) 0)) (pow (log base) 6) 6)
36.0ms	base	@	-inf	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (- 0 (* (* (log base) (log base)) 0))) (* (log base) (log base))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (- 0 (* (* (log base) (log base)) 0))) (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) re im (log base) base (- 0 (* (* (log base) (log base)) 0)) 0 (* (log base) (log base)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))))) (neg (/ (neg (log (neg re))) (log base))) (/ (neg (log (neg re))) (log base)) (neg (log (neg re))) (log (neg re)) (neg 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)) (* (log re) (log base)) (log re) (+ (* (log base) (log base)) (* 0 0)) (* 0 0) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (- (pow (log base) 4) 0) (- (* (log base) (log base)) 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (neg (log base)) (neg (log (neg re)))) (neg (log base)) (/ (- (pow (log base) 4) 0) (- (* (log base) (log base)) 0)) (- (pow (log base) 4) 0) (pow (log base) 4) 4 (- (* (log base) (log base)) 0) (/ (* (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (- (pow (log base) 8) 0)) (* (pow (log base) 6) (- (pow (log base) 4) 0))) (* (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (- (pow (log base) 8) 0)) (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re)) (* re re) (- (pow (log base) 8) 0) (pow (log base) 8) 8 (* (pow (log base) 6) (- (pow (log base) 4) 0)) (pow (log base) 6) 6)
28.0ms	re	@	inf	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (- 0 (* (* (log base) (log base)) 0))) (* (log base) (log base))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (- 0 (* (* (log base) (log base)) 0))) (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) re im (log base) base (- 0 (* (* (log base) (log base)) 0)) 0 (* (log base) (log base)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))))) (neg (/ (neg (log (neg re))) (log base))) (/ (neg (log (neg re))) (log base)) (neg (log (neg re))) (log (neg re)) (neg 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)) (* (log re) (log base)) (log re) (+ (* (log base) (log base)) (* 0 0)) (* 0 0) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (- (pow (log base) 4) 0) (- (* (log base) (log base)) 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (neg (log base)) (neg (log (neg re)))) (neg (log base)) (/ (- (pow (log base) 4) 0) (- (* (log base) (log base)) 0)) (- (pow (log base) 4) 0) (pow (log base) 4) 4 (- (* (log base) (log base)) 0) (/ (* (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (- (pow (log base) 8) 0)) (* (pow (log base) 6) (- (pow (log base) 4) 0))) (* (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (- (pow (log base) 8) 0)) (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re)) (* re re) (- (pow (log base) 8) 0) (pow (log base) 8) 8 (* (pow (log base) 6) (- (pow (log base) 4) 0)) (pow (log base) 6) 6)
28.0ms	re	@	0	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (- 0 (* (* (log base) (log base)) 0))) (* (log base) (log base))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (- 0 (* (* (log base) (log base)) 0))) (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) re im (log base) base (- 0 (* (* (log base) (log base)) 0)) 0 (* (log base) (log base)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))))) (neg (/ (neg (log (neg re))) (log base))) (/ (neg (log (neg re))) (log base)) (neg (log (neg re))) (log (neg re)) (neg 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)) (* (log re) (log base)) (log re) (+ (* (log base) (log base)) (* 0 0)) (* 0 0) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (- (pow (log base) 4) 0) (- (* (log base) (log base)) 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (neg (log base)) (neg (log (neg re)))) (neg (log base)) (/ (- (pow (log base) 4) 0) (- (* (log base) (log base)) 0)) (- (pow (log base) 4) 0) (pow (log base) 4) 4 (- (* (log base) (log base)) 0) (/ (* (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (- (pow (log base) 8) 0)) (* (pow (log base) 6) (- (pow (log base) 4) 0))) (* (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (- (pow (log base) 8) 0)) (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re)) (* re re) (- (pow (log base) 8) 0) (pow (log base) 8) 8 (* (pow (log base) 6) (- (pow (log base) 4) 0)) (pow (log base) 6) 6)

rewrite414.0ms (7.6%)

Memory

-3.4MiB live, 270.3MiB allocated; 92ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1016	17342
0	1091	13074
1	4427	12868
0	8324	12434

Stop Event

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

Counts

487 → 1 211

Calls

Call 1

Inputs
(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx (- 0 ( (* (log base) (log base)) 0)) #s(literal 0 binary64))) (*.f64 (log.f64 base) (log.f64 base)))
(+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx (- 0 ( (* (log base) (log base)) 0)) #s(literal 0 binary64)))
(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(log.f64 (hypot.f64 re im))
(hypot.f64 re im)
re
im
(log.f64 base)
base
#s(approx (- 0 (* (* (log base) (log base)) 0)) #s(literal 0 binary64))
#s(literal 0 binary64)
(*.f64 (log.f64 base) (log.f64 base))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))))) (neg.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 re))) (log.f64 base))))
(neg.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 re))) (log.f64 base)))
(/.f64 (neg.f64 (log.f64 (neg.f64 re))) (log.f64 base))
(neg.f64 (log.f64 (neg.f64 re)))
(log.f64 (neg.f64 re))
(neg.f64 re)
(/.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 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 (neg.f64 re))))) (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 (neg.f64 re)))))
(*.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 (neg.f64 re))))
(neg.f64 (log.f64 base))
(/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)))
(-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))
(pow.f64 (log.f64 base) #s(literal 4 binary64))
#s(literal 4 binary64)
(-.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))
(/.f64 (.f64 (fma.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base) #s(literal 0 binary64)) (-.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) #s(literal 0 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))))
(.f64 (fma.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base) #s(literal 0 binary64)) (-.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) #s(literal 0 binary64)))
(fma.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base) #s(literal 0 binary64))
(log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))
(sqrt.f64 (fma.f64 im im (*.f64 re re)))
(fma.f64 im im (*.f64 re re))
(*.f64 re re)
(-.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) #s(literal 0 binary64))
(pow.f64 (log.f64 base) #s(literal 8 binary64))
#s(literal 8 binary64)
(*.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)))
(pow.f64 (log.f64 base) #s(literal 6 binary64))
#s(literal 6 binary64)
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (- 0 (* (* (log base) (log base)) 0))) (* (log base) (log base))) #s(hole binary64 (/ (log im) (log base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (- 0 (* (* (log base) (log base)) 0))) (* (log base) (log base))) #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)) (- 0 (* (* (log base) (log base)) 0))) (* (log base) (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 (+ (* re re) (* im im)))) (log base)) (- 0 (* (* (log base) (log base)) 0))) (* (log base) (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 (+ (* re re) (* im im)))) (log base)) (- 0 (* (* (log base) (log base)) 0))) #s(hole binary64 (* (log base) (log im))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (- 0 (* (* (log base) (log base)) 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)) (- 0 (* (* (log base) (log base)) 0))) #s(hole binary64 (+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2))))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (- 0 (* (* (log base) (log base)) 0))) #s(hole binary64 (+ (* (log base) (log im)) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6))))))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) #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))))))))))
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#s(approx (neg (/ (neg (log (neg re))) (log base))) #s(hole binary64 (/ (log (neg re)) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (neg (log (neg re))) (log base)) #s(hole binary64 (* -1 (/ (log (neg re)) (+ (log -1) (* -1 (log (/ -1 base))))))))
#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 re) (log base)) #s(hole binary64 (* (log re) (+ (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 (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (- (pow (log base) 4) 0) (- (* (log base) (log base)) 0))) #s(hole binary64 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (* (neg (log base)) (neg (log (neg re)))) #s(hole binary64 (* (log (neg re)) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (neg (log base)) #s(hole binary64 (* -1 (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (- (pow (log base) 4) 0) (- (* (log base) (log base)) 0)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (- (pow (log base) 4) 0) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)))
#s(approx (- (* (log base) (log base)) 0) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (/ (* (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (- (pow (log base) 8) 0)) (* (pow (log base) 6) (- (pow (log base) 4) 0))) #s(hole binary64 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (* (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (- (pow (log base) 8) 0)) #s(hole binary64 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 9))))
#s(approx (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) #s(hole binary64 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (- (pow (log base) 8) 0) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 8)))
#s(approx (pow (log base) 8) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 8)))
#s(approx (* (pow (log base) 6) (- (pow (log base) 4) 0)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 10)))
#s(approx (pow (log base) 6) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 6)))

Outputs
(/.f64 (/.f64 (fma.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base) #s(approx (- 0 ( (* (log base) (log base)) 0)) #s(literal 0 binary64))) (log.f64 base)) (log.f64 base))
(/.f64 (neg.f64 (fma.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base) #s(approx (- 0 ( (* (log base) (log base)) 0)) #s(literal 0 binary64)))) (neg.f64 (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (fma.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base) #s(approx (- 0 ( (* (log base) (log base)) 0)) #s(literal 0 binary64))) (*.f64 (log.f64 base) (log.f64 base)))
(fma.f64 (/.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (.f64 (log.f64 base) (log.f64 base)) (/.f64 #s(approx (- 0 ( (* (log base) (log base)) 0)) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
(fma.f64 (/.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)) (/.f64 #s(approx (- 0 (* (* (log base) (log base)) 0)) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
(fma.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (pow.f64 (log.f64 base) #s(literal 10 binary64))) (/.f64 #s(approx (- 0 (* (* (log base) (log base)) 0)) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
(+.f64 (/.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 #s(approx (- 0 ( (* (log base) (log base)) 0)) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (-.f64 (pow.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base)) #s(literal 2 binary64)) (.f64 #s(approx (- 0 ( (* (log base) (log base)) 0)) #s(literal 0 binary64)) #s(approx (- 0 (* (* (log base) (log base)) 0)) #s(literal 0 binary64)))) (-.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base)) #s(approx (- 0 (* (* (log base) (log base)) 0)) #s(literal 0 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base)) #s(literal 3 binary64)) (.f64 (.f64 #s(approx (- 0 (* (* (log base) (log base)) 0)) #s(literal 0 binary64)) #s(approx (- 0 (* (* (log base) (log base)) 0)) #s(literal 0 binary64))) #s(approx (- 0 (* (* (log base) (log base)) 0)) #s(literal 0 binary64)))) (+.f64 (pow.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base)) #s(literal 2 binary64)) (-.f64 (.f64 #s(approx (- 0 ( (* (log base) (log base)) 0)) #s(literal 0 binary64)) #s(approx (- 0 (* (* (log base) (log base)) 0)) #s(literal 0 binary64))) (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base)) #s(approx (- 0 ( (* (log base) (log base)) 0)) #s(literal 0 binary64))))))
(fma.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base) #s(approx (- 0 ( (* (log base) (log base)) 0)) #s(literal 0 binary64)))
(fma.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) #s(approx (- 0 ( (* (log base) (log base)) 0)) #s(literal 0 binary64)))
(+.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base)) #s(approx (- 0 (* (* (log base) (log base)) 0)) #s(literal 0 binary64)))
(+.f64 #s(approx (- 0 (* (* (log base) (log base)) 0)) #s(literal 0 binary64)) (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base)))
(.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base))
(.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))))
(/.f64 (-.f64 (pow.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base)) #s(literal 2 binary64)) #s(literal 0 binary64)) (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base)))
(/.f64 (+.f64 (pow.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base)) #s(literal 0 binary64)))))
(fma.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) #s(literal 0 binary64))
(-.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base)) (*.f64 (neg.f64 (atan2.f64 im re)) #s(literal 0 binary64)))
(-.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base)) #s(literal 0 binary64))
(+.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base)))
(log.f64 (/.f64 (pow.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) (log.f64 base)) #s(literal 1 binary64)))
(log.f64 (.f64 (pow.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) (log.f64 base)) #s(literal 1 binary64)))
(log.f64 (.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) (log.f64 base))))
(log.f64 (pow.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) (log.f64 base)))
(.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re))))
(log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))
(pow.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1 binary64))
(pow.f64 (fma.f64 im im (*.f64 re re)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (.f64 im im) (.f64 im im)))) (sqrt.f64 (-.f64 (.f64 re re) (.f64 im im))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 (.f64 re re) (.f64 re re)))) (sqrt.f64 (-.f64 (.f64 im im) (.f64 re re))))
(/.f64 (hypot.f64 (.f64 (.f64 re re) re) (.f64 (.f64 im im) im)) (sqrt.f64 (fma.f64 (.f64 re re) (.f64 re re) (-.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 (.f64 re re) (.f64 im im))))))
(/.f64 (hypot.f64 (.f64 (.f64 im im) im) (.f64 (.f64 re re) re)) (sqrt.f64 (fma.f64 (.f64 im im) (.f64 im im) (-.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (.f64 im im) (.f64 re re))))))
(sqrt.f64 (fma.f64 im im (*.f64 re re)))
(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 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 (neg.f64 im)) (neg.f64 (fabs.f64 re)))
(hypot.f64 (neg.f64 (neg.f64 im)) (neg.f64 (neg.f64 re)))
(hypot.f64 (neg.f64 (neg.f64 im)) (fabs.f64 (fabs.f64 re)))
(hypot.f64 (neg.f64 (neg.f64 im)) (fabs.f64 re))
(hypot.f64 (neg.f64 (neg.f64 im)) (neg.f64 re))
(hypot.f64 (neg.f64 (neg.f64 im)) re)
(hypot.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 re)))
(hypot.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (neg.f64 re)))
(hypot.f64 (neg.f64 (fabs.f64 im)) (fabs.f64 (fabs.f64 re)))
(hypot.f64 (neg.f64 (fabs.f64 im)) (fabs.f64 re))
(hypot.f64 (neg.f64 (fabs.f64 im)) (neg.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 (fabs.f64 re)))
(hypot.f64 (fabs.f64 (fabs.f64 im)) (neg.f64 (neg.f64 re)))
(hypot.f64 (fabs.f64 (fabs.f64 im)) (fabs.f64 (fabs.f64 re)))
(hypot.f64 (fabs.f64 (fabs.f64 im)) (fabs.f64 re))
(hypot.f64 (fabs.f64 (fabs.f64 im)) (neg.f64 re))
(hypot.f64 (fabs.f64 (fabs.f64 im)) re)
(hypot.f64 (neg.f64 im) (neg.f64 (fabs.f64 re)))
(hypot.f64 (neg.f64 im) (neg.f64 (neg.f64 re)))
(hypot.f64 (neg.f64 im) (fabs.f64 (fabs.f64 re)))
(hypot.f64 (neg.f64 im) (fabs.f64 re))
(hypot.f64 (neg.f64 im) (neg.f64 re))
(hypot.f64 (neg.f64 im) re)
(hypot.f64 (fabs.f64 im) (neg.f64 (fabs.f64 re)))
(hypot.f64 (fabs.f64 im) (neg.f64 (neg.f64 re)))
(hypot.f64 (fabs.f64 im) (fabs.f64 (fabs.f64 re)))
(hypot.f64 (fabs.f64 im) (fabs.f64 re))
(hypot.f64 (fabs.f64 im) (neg.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 (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 im (neg.f64 (fabs.f64 re)))
(hypot.f64 im (neg.f64 (neg.f64 re)))
(hypot.f64 im (fabs.f64 (fabs.f64 re)))
(hypot.f64 im (fabs.f64 re))
(hypot.f64 im (neg.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)))
re
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(approx (- 0 (* (* (log base) (log base)) 0)) #s(literal 0 binary64))
#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 (log.f64 base))) (exp.f64 (log.f64 (log.f64 base))))
(*.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 base)))) (exp.f64 (log.f64 (neg.f64 (log.f64 base)))))
(*.f64 (neg.f64 (neg.f64 (log.f64 base))) (neg.f64 (neg.f64 (log.f64 base))))
(*.f64 (fabs.f64 (log.f64 base)) (fabs.f64 (log.f64 base)))
(*.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 base)))
(.f64 #s(literal 1 binary64) (.f64 (log.f64 base) (log.f64 base)))
(.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal 1 binary64))
(*.f64 (log.f64 base) (log.f64 base))
(pow.f64 (exp.f64 (log.f64 (log.f64 base))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 base)))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (log.f64 base)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 2 binary64))
(pow.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (neg.f64 (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
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(fma.f64 (neg.f64 (fabs.f64 (log.f64 base))) (neg.f64 (fabs.f64 (log.f64 base))) #s(literal 0 binary64))
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(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 (log.f64 base))) (exp.f64 (log.f64 (log.f64 base))) (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(fma.f64 (exp.f64 (log.f64 (log.f64 base))) (exp.f64 (log.f64 (log.f64 base))) #s(literal 0 binary64))
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(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 (neg.f64 (neg.f64 (log.f64 base))) (neg.f64 (neg.f64 (log.f64 base))) (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
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(fma.f64 (fabs.f64 (log.f64 base)) (fabs.f64 (log.f64 base)) (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(fma.f64 (fabs.f64 (log.f64 base)) (fabs.f64 (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 base)) (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(fma.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 base)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base)) (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(fma.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 1 binary64) #s(literal 0 binary64))
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#s(approx (- (pow (log base) 8) 0) (pow.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64))) #s(literal 8 binary64)))
#s(approx (* (pow (log base) 6) (- (pow (log base) 4) 0)) (pow.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64))) #s(literal 10 binary64)))
#s(approx (pow (log base) 6) (pow.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64))) #s(literal 6 binary64)))

eval151.0ms (2.8%)

Memory: -25.8MiB live, 223.1MiB allocated; 57ms collecting garbage
Compiler: Compiled 9 525 to 3 114 computations (67.3% saved)

prune128.0ms (2.3%)

Memory

20.4MiB live, 110.7MiB allocated; 7ms collecting garbage

Pruning

41 alts after pruning (37 fresh and 4 done)

	Pruned	Kept	Total
New	757	18	775
Fresh	9	19	28
Picked	4	1	5
Done	0	3	3
Total	770	41	811

Accuracy

99.9%

Counts

811 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.3%	(/.f64 (fma.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	49.4%	(/.f64 (/.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base)) (log.f64 base)) (log.f64 base))
	44.6%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (log.f64 base)))) #s(approx (- 0 ( (* (log base) (log base)) 0)) #s(literal 0 binary64))) (+.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (log.f64 base))) (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (log.f64 base)))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	52.8%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx (- 0 ( (* (log base) (log base)) 0)) #s(literal 0 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (neg.f64 (log.f64 base)))))
	99.0%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx (- 0 ( (* (log base) (log base)) 0)) #s(literal 0 binary64))) (/.f64 (fma.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 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 4 binary64)) #s(literal 0 binary64)))))
	99.1%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx (- 0 ( (* (log base) (log base)) 0)) #s(literal 0 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
	99.1%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx (- 0 ( (* (log base) (log base)) 0)) #s(literal 0 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
✓	99.3%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx (- 0 ( (* (log base) (log base)) 0)) #s(literal 0 binary64))) (*.f64 (log.f64 base) (log.f64 base)))
	49.2%	(/.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 (pow.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))))))
	23.8%	(/.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 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 0 binary64)) (+.f64 (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))))))
	48.9%	(/.f64 (.f64 (fma.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base) #s(literal 0 binary64)) (-.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) #s(literal 0 binary64))) (pow.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 5 binary64)))
	49.3%	(/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 10 binary64)))
	0.0%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 (neg.f64 re))))) (/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (-.f64 (.f64 (log.f64 base) (log.f64 base)) #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)) (neg.f64 (log.f64 (neg.f64 re))))) (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 4 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)) (neg.f64 (log.f64 (neg.f64 re))))) (.f64 (log.f64 base) (log.f64 base)))
	0.0%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 (neg.f64 re))))) (exp.f64 (.f64 (log.f64 (neg.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)) (neg.f64 (log.f64 (neg.f64 im))))) (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 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)) (neg.f64 (log.f64 (neg.f64 im))))) (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (.f64 (log.f64 base) (log.f64 base)) #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)) (neg.f64 (log.f64 (neg.f64 im))))) (.f64 (log.f64 base) (log.f64 base)))
	9.9%	(/.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 6 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	9.9%	(/.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)) (.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 (exp.f64 (.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 1 binary64))) (neg.f64 (log.f64 (neg.f64 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 (exp.f64 (log.f64 (neg.f64 (log.f64 base)))) (neg.f64 (log.f64 (neg.f64 im))))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	9.9%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (.f64 (log.f64 re) (log.f64 base))) (.f64 (log.f64 base) (log.f64 base)))
	98.2%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (.f64 (log.f64 im) (log.f64 base))) (.f64 (log.f64 base) (log.f64 base)))
	98.0%	(/.f64 #s(approx (* (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (- (pow (log base) 8) 0)) (.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) (log.f64 im))) (.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))))
	49.3%	(.f64 (/.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (.f64 (log.f64 base) (log.f64 base)))
	0.0%	(.f64 (/.f64 #s(approx (+ ( (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 (neg.f64 re))))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (.f64 (log.f64 base) (log.f64 base)))
	49.3%	(.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (pow.f64 (log.f64 base) #s(literal 10 binary64))))
	0.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))))) (/.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 im)))) (log.f64 base)))
	0.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))))) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
	9.9%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))))) (/.f64 (log.f64 re) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))))
✓	9.9%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))))) (/.f64 (log.f64 re) (log.f64 base)))
	0.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))))) (neg.f64 (/.f64 (neg.f64 (log.f64 (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)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))))) (neg.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 re))) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))))))
	49.4%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))))
✓	49.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base)))
	24.2%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))))
	98.3%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))))
✓	98.3%	#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)))
	44.8%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))))

Compiler

Compiled 2 137 to 1 323 computations (38.1% saved)

regimes203.0ms (3.7%)

Memory

10.8MiB live, 186.2MiB allocated; 33ms collecting garbage

Counts

78 → 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)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))))) (/.f64 (log.f64 re) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))))) (/.f64 (log.f64 (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 (neg.f64 (log.f64 (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))) (neg.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 re))) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))))) (neg.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 im))) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))))) (neg.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 re))) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))))) (/.f64 (neg.f64 (neg.f64 (log.f64 (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 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base)))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (.f64 (log.f64 im) (log.f64 base))) (.f64 (log.f64 base) (log.f64 base)))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (.f64 (log.f64 re) (log.f64 base))) (.f64 (log.f64 base) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (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 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)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))))) (/.f64 (log.f64 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 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 (neg.f64 im))))) (.f64 (log.f64 base) (log.f64 base)))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 (neg.f64 re))))) (.f64 (log.f64 base) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))))) (neg.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 re))) (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)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))))) (neg.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 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))))
(/.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))))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 (neg.f64 im))))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 (neg.f64 re))))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (/.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base)) (log.f64 base)) (log.f64 base))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (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 (sqrt.f64 (fma.f64 im im (*.f64 re 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 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 (neg.f64 re))))) (exp.f64 (.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))))
(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx (- 0 ( (* (log base) (log base)) 0)) #s(literal 0 binary64))) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx (- 0 ( (* (log base) (log base)) 0)) #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 (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 base)))) (neg.f64 (log.f64 (neg.f64 im))))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 (neg.f64 re))))) (pow.f64 (exp.f64 (log.f64 (log.f64 base))) #s(literal 2 binary64)))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (exp.f64 (.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 1 binary64))) (neg.f64 (log.f64 (neg.f64 re))))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(.f64 (/.f64 #s(approx (+ ( (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 (neg.f64 re))))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (.f64 (log.f64 base) (log.f64 base)))
(/.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)) (.f64 (log.f64 base) (log.f64 base))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 (neg.f64 im))))) (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 (neg.f64 re))))) (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))))
(.f64 (/.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (.f64 (log.f64 base) (log.f64 base)))
(/.f64 (fma.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 (neg.f64 im))))) (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 #s(approx (+ (* (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 6 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx (- 0 ( (* (log base) (log base)) 0)) #s(literal 0 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (neg.f64 (log.f64 base)))))
(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx (- 0 ( (* (log base) (log base)) 0)) #s(literal 0 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
(.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (pow.f64 (log.f64 base) #s(literal 10 binary64))))
(/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 10 binary64)))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))))
(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))))
(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx (- 0 ( (* (log base) (log base)) 0)) #s(literal 0 binary64))) (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))))
(.f64 (/.f64 (fma.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)))
(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx (- 0 ( (* (log base) (log base)) 0)) #s(literal 0 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 #s(approx (* (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (- (pow (log base) 8) 0)) (.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) (log.f64 im))) (.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx (- 0 ( (* (log base) (log base)) 0)) #s(literal 0 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (fma.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))))) (.f64 (log.f64 base) (log.f64 base)) (.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (.f64 (fma.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base) #s(literal 0 binary64)) (-.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) #s(literal 0 binary64))) (pow.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 5 binary64)))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 (neg.f64 re))))) (/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (-.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))))
(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re 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 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 (neg.f64 re))))) (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) #s(literal 0 binary64))))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (/.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 0 binary64)) #s(approx (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (exp.f64 (log.f64 (log.f64 base)))) #s(approx (- 0 ( (* (log base) (log base)) 0)) #s(literal 0 binary64))) (+.f64 (.f64 (exp.f64 (log.f64 (log.f64 base))) (exp.f64 (log.f64 (log.f64 base)))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (.f64 (fma.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base) #s(literal 0 binary64)) (-.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) #s(literal 0 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (/.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))))))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (/.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 0 binary64)) (+.f64 (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))))))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))) (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))) (*.f64 #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 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))) (.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 (pow.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))))))
(/.f64 (.f64 (fma.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 12 binary64)) #s(literal 0 binary64))) (.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))))))
(/.f64 (+.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 (pow.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))))) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))))) #s(literal 0 binary64))))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (log.f64 base)))) #s(approx (- 0 ( (* (log base) (log base)) 0)) #s(literal 0 binary64))) (+.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (log.f64 base))) (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (log.f64 base)))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 12 binary64)) #s(literal 0 binary64)) (-.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 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))))))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (/.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 0 binary64)) (/.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 12 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)))))))
(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx (- 0 ( (* (log base) (log base)) 0)) #s(literal 0 binary64))) (/.f64 (fma.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 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 4 binary64)) #s(literal 0 binary64)))))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (/.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))))))
(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (/.f64 (fma.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 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 4 binary64)) #s(literal 0 binary64)))))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (/.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 0 binary64)) (+.f64 (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))) (.f64 (-.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)) (-.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))))))

Outputs
(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx (- 0 ( (* (log base) (log base)) 0)) #s(literal 0 binary64))) (*.f64 (log.f64 base) (log.f64 base)))

Calls

5 calls:

77.0ms	(log.f64 base)
49.0ms	(/.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))))
30.0ms	im
22.0ms	base
19.0ms	re

Results

Accuracy	Segments	Branch
99.3%	1	`(log.f64 base)`
99.3%	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))))`
99.3%	1	`re`
99.3%	1	`im`
99.3%	1	`base`

Compiler

Compiled 27 to 31 computations (-14.8% saved)

regimes96.0ms (1.8%)

Memory

-27.1MiB live, 83.0MiB allocated; 34ms collecting garbage

Accuracy

Total -62.9b remaining (-5947.7%)

Threshold costs -62.9b (-5947.7%)

Counts

27 → 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)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))))) (/.f64 (log.f64 re) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))))) (/.f64 (log.f64 (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 (neg.f64 (log.f64 (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))) (neg.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 re))) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))))) (neg.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 im))) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))))) (neg.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 re))) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))))) (/.f64 (neg.f64 (neg.f64 (log.f64 (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 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base)))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (.f64 (log.f64 im) (log.f64 base))) (.f64 (log.f64 base) (log.f64 base)))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) 0) (.f64 (log.f64 re) (log.f64 base))) (.f64 (log.f64 base) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (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 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)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))))) (/.f64 (log.f64 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 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 (neg.f64 im))))) (.f64 (log.f64 base) (log.f64 base)))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 (neg.f64 re))))) (.f64 (log.f64 base) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))))) (neg.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 re))) (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)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (* (log base) (log base)) 0))))) (neg.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 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))))
(/.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))))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 (neg.f64 im))))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 (neg.f64 re))))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (/.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base)) (log.f64 base)) (log.f64 base))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (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 (sqrt.f64 (fma.f64 im im (*.f64 re 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 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 (neg.f64 re))))) (exp.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 im) (log.f64 base)))

Calls

5 calls:

52.0ms	im
21.0ms	(/.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))))
7.0ms	(log.f64 base)
7.0ms	base
7.0ms	re

Results

Accuracy	Segments	Branch
98.3%	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))))`
98.3%	1	`re`
98.3%	1	`im`
98.3%	1	`(log.f64 base)`
98.3%	1	`base`

Compiler

Compiled 27 to 31 computations (-14.8% saved)

derivations90.0ms (1.7%)

Memory

47.8MiB live, 135.8MiB allocated; 11ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 40 to 32 computations (20% saved)

preprocess32.0ms (0.6%)

Memory: -41.0MiB live, 62.3MiB allocated; 12ms collecting garbage
Compiler: Compiled 326 to 284 computations (12.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze174.0ms (3.2%)

sample1.7s (31.7%)

preprocess47.0ms (0.9%)

series157.0ms (2.9%)

rewrite200.0ms (3.7%)

eval81.0ms (1.5%)

prune21.0ms (0.4%)

series367.0ms (6.7%)

rewrite251.0ms (4.6%)

eval77.0ms (1.4%)

prune43.0ms (0.8%)

series601.0ms (11%)

rewrite257.0ms (4.7%)

eval65.0ms (1.2%)

prune41.0ms (0.7%)

series235.0ms (4.3%)

rewrite414.0ms (7.6%)

eval151.0ms (2.8%)

prune128.0ms (2.3%)

regimes203.0ms (3.7%)

regimes96.0ms (1.8%)

derivations90.0ms (1.7%)

preprocess32.0ms (0.6%)

end0.0ms (0%)

Profiling