math.log/2 on complex, real part

Time bar (total: 3.0s)

start0.0ms (0.0%)

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

analyze129.0ms (4.3%)

Memory
6.8MiB live, 38.3MiB allocated; 1ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0.0%0.0%99.9%0.1%0.0%0.0%0.0%0
0.0%0.0%99.9%0.1%0.0%0.0%0.0%1
0.0%0.0%99.9%0.1%0.0%0.0%0.0%2
0.0%0.0%99.9%0.1%0.0%0.0%0.0%3
0.0%0.0%49.9%0.1%0.0%49.9%0.0%4
0.0%0.0%49.9%0.1%0.0%49.9%0.0%5
0.0%0.0%49.9%0.1%0.0%49.9%0.0%6
9.4%4.7%45.2%0.1%0.0%49.9%0.0%7
17.2%8.6%41.3%0.1%0.0%49.9%0.0%8
27.3%13.7%36.3%0.1%0.0%49.9%0.0%9
41.0%20.5%29.4%0.1%0.0%49.9%0.0%10
48.6%24.3%25.6%0.1%0.0%49.9%0.0%11
57.1%28.5%21.4%0.1%0.0%49.9%0.0%12
Compiler

Compiled 30 to 17 computations (43.3% saved)

sample981.0ms (32.4%)

Memory
7.8MiB live, 308.5MiB allocated; 30ms collecting garbage
Samples
714.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 496.0ms
ival-log: 158.0ms (31.9% of total)
ival-hypot: 126.0ms (25.4% of total)
ival-mult!: 85.0ms (17.2% of total)
ival-atan2: 57.0ms (11.5% of total)
ival-add!: 37.0ms (7.5% of total)
ival-div!: 28.0ms (5.6% of total)
adjust: 5.0ms (1.0% of total)
Bogosity

preprocess81.0ms (2.7%)

Memory
1.2MiB live, 8.7MiB allocated; 1ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
079197
1337177
21747177
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.2%
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
Symmetry

(abs re)

(abs im)

(sort re im)

Compiler

Compiled 56 to 36 computations (35.7% saved)

series88.0ms (2.9%)

Memory
2.2MiB live, 63.2MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05114222
Stop Event
iter-limit
Counts
18 → 112
Calls
Call 1
Inputs
re
(*.f64 re re)
im
(*.f64 im im)
(+.f64 (*.f64 re re) (*.f64 im im))
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
base
(log.f64 base)
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(atan2.f64 im re)
#s(literal 0 binary64)
(*.f64 (atan2.f64 im re) #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 base) (log.f64 base))
(*.f64 #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 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
Outputs
#s(approx re #s(literal 0 binary64))
#s(approx re re)
#s(approx (* re re) (pow.f64 re #s(literal 2 binary64)))
#s(approx (+ (* re re) (* im im)) (pow.f64 im #s(literal 2 binary64)))
#s(approx (+ (* re re) (* im im)) (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 6 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (+.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (+.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 4 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 6 binary64))))))))))
#s(approx (atan2 im re) (atan2.f64 im re))
#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 (pow.f64 im #s(literal 2 binary64)))) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))) (/.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))))) (/.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 6 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 4 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))))) (/.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (log.f64 base))))
#s(approx (+ (* re re) (* im im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) re)))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) re)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) re)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) re)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64))))) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (*.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 base)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) re))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) re)))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) re)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)) (pow.f64 re #s(literal 2 binary64))))))
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#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (*.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 base)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base))))))))
#s(approx im im)
#s(approx (sqrt (+ (* re re) (* im im))) (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))
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#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64))))))
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#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))))
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#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
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#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
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#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64)))) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) im)))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) im)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)) (pow.f64 im #s(literal 2 binary64))))))
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#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) im)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64))))) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)) (pow.f64 im #s(literal 2 binary64))))))))
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#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) im))
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#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))
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#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64))))) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64)))) (*.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 base)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base))))))))
#s(approx base base)
#s(approx (log base) (log.f64 base))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (* (log base) (log base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 base)))
#s(approx (log base) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) base)))))
#s(approx (* (log base) (log base)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) base)))))
Calls

9 calls:

TimeVariablePoint
33.0ms
base
0
10.0ms
base
-inf
8.0ms
base
inf
4.0ms
re
inf
2.0ms
re
0

rewrite77.0ms (2.5%)

Memory
4.4MiB live, 36.7MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
018113
03492
114790
252785
0403885
Stop Event
iter-limit
node-limit
iter-limit
Counts
18 → 620
Calls
Call 1
Inputs
re
(*.f64 re re)
im
(*.f64 im im)
(+.f64 (*.f64 re re) (*.f64 im im))
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
base
(log.f64 base)
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(atan2.f64 im re)
#s(literal 0 binary64)
(*.f64 (atan2.f64 im re) #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 base) (log.f64 base))
(*.f64 #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 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
Outputs
re
(*.f64 (pow.f64 (fabs.f64 re) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 re) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 re) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 re) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (neg.f64 (neg.f64 (fabs.f64 re))))
(*.f64 (pow.f64 (fabs.f64 re) #s(literal 1 binary64)) (pow.f64 (fabs.f64 re) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 re) #s(literal 1 binary64)) (fabs.f64 re))
(*.f64 (pow.f64 (neg.f64 re) #s(literal 1 binary64)) (pow.f64 (neg.f64 re) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 re) #s(literal 1 binary64)) (neg.f64 re))
(*.f64 (pow.f64 re #s(literal 1 binary64)) (pow.f64 re #s(literal 1 binary64)))
(*.f64 (pow.f64 re #s(literal 1 binary64)) re)
(*.f64 (pow.f64 re (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 re (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (fabs.f64 re)))
(*.f64 (fabs.f64 re) (fabs.f64 re))
(*.f64 (neg.f64 re) (neg.f64 re))
(*.f64 re re)
(pow.f64 (neg.f64 (fabs.f64 re)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 re) #s(literal 2 binary64))
(pow.f64 (neg.f64 re) #s(literal 2 binary64))
(pow.f64 (*.f64 re re) #s(literal 1 binary64))
(pow.f64 re #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 re) re))
(sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re)))
(fabs.f64 (*.f64 (neg.f64 re) re))
(fabs.f64 (*.f64 re re))
(exp.f64 (*.f64 (log.f64 (fabs.f64 re)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 re)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)))
im
(*.f64 (pow.f64 (fabs.f64 im) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 im) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 im) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 im) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 im))) (neg.f64 (neg.f64 (fabs.f64 im))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 im))) (fabs.f64 im))
(*.f64 (pow.f64 (fabs.f64 im) #s(literal 1 binary64)) (pow.f64 (fabs.f64 im) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 im) #s(literal 1 binary64)) (fabs.f64 im))
(*.f64 (pow.f64 (neg.f64 im) #s(literal 1 binary64)) (pow.f64 (neg.f64 im) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 im) #s(literal 1 binary64)) (neg.f64 im))
(*.f64 (pow.f64 im #s(literal 1 binary64)) (pow.f64 im #s(literal 1 binary64)))
(*.f64 (pow.f64 im #s(literal 1 binary64)) im)
(*.f64 (pow.f64 im (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 im (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 im)))
(*.f64 (fabs.f64 im) (neg.f64 (neg.f64 (fabs.f64 im))))
(*.f64 (fabs.f64 im) (fabs.f64 im))
(*.f64 (neg.f64 im) (neg.f64 im))
(*.f64 im im)
(pow.f64 (neg.f64 (fabs.f64 im)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 im) #s(literal 2 binary64))
(pow.f64 (neg.f64 im) #s(literal 2 binary64))
(pow.f64 (*.f64 im im) #s(literal 1 binary64))
(pow.f64 im #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 im) im))
(sqrt.f64 (*.f64 (*.f64 im im) (*.f64 im im)))
(fabs.f64 (*.f64 (neg.f64 im) im))
(fabs.f64 (*.f64 im im))
(exp.f64 (*.f64 (log.f64 (fabs.f64 im)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 im)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 re) re) (*.f64 im im))) (*.f64 im im))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 re re) (*.f64 im im))) (*.f64 im im))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 im) im) (*.f64 re re))) (*.f64 re re))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (neg.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 im im) (*.f64 re re))) (*.f64 re re))
(*.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re))) (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re))))
(pow.f64 (*.f64 (+.f64 (*.f64 im im) (*.f64 re re)) (+.f64 (*.f64 im im) (*.f64 re re))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re))) #s(literal 2 binary64))
(pow.f64 (+.f64 (*.f64 im im) (*.f64 re re)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (*.f64 (neg.f64 re) re) (*.f64 (neg.f64 re) re))) (+.f64 (*.f64 im im) (*.f64 (neg.f64 re) re)))
(/.f64 (-.f64 (pow.f64 (*.f64 im im) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 re) re) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (+.f64 (*.f64 (*.f64 (neg.f64 re) re) (*.f64 (neg.f64 re) re)) (*.f64 (*.f64 im im) (*.f64 (neg.f64 re) re)))))
(/.f64 (-.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (*.f64 re re) (*.f64 re re))) (-.f64 (*.f64 im im) (*.f64 re re)))
(/.f64 (-.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 (neg.f64 im) im) (*.f64 (neg.f64 im) im))) (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) im)))
(/.f64 (+.f64 (pow.f64 (*.f64 im im) #s(literal 3 binary64)) (pow.f64 (*.f64 re re) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (-.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 re re)))))
(/.f64 (-.f64 (pow.f64 (*.f64 re re) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 im) im) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (+.f64 (*.f64 (*.f64 (neg.f64 im) im) (*.f64 (neg.f64 im) im)) (*.f64 (*.f64 re re) (*.f64 (neg.f64 im) im)))))
(/.f64 (-.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im))) (-.f64 (*.f64 re re) (*.f64 im im)))
(/.f64 (+.f64 (pow.f64 (*.f64 re re) #s(literal 3 binary64)) (pow.f64 (*.f64 im im) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (-.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (*.f64 re re) (*.f64 im im)))))
(neg.f64 (+.f64 (*.f64 (neg.f64 re) re) (*.f64 (neg.f64 im) im)))
(neg.f64 (-.f64 (*.f64 (neg.f64 re) re) (*.f64 im im)))
(neg.f64 (-.f64 (*.f64 (neg.f64 im) im) (*.f64 re re)))
(-.f64 (*.f64 im im) (*.f64 (neg.f64 re) re))
(-.f64 (*.f64 re re) (*.f64 (neg.f64 im) im))
(sqrt.f64 (*.f64 (+.f64 (*.f64 im im) (*.f64 re re)) (+.f64 (*.f64 im im) (*.f64 re re))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))))
(fabs.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re))) (neg.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re))))))
(fabs.f64 (+.f64 (*.f64 im im) (*.f64 re re)))
(+.f64 (*.f64 im im) (*.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (fabs.f64 re)))
(+.f64 (*.f64 im im) (*.f64 re re))
(+.f64 (*.f64 re re) (*.f64 im im))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))))
(*.f64 (pow.f64 (+.f64 (*.f64 im im) (*.f64 re re)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (+.f64 (*.f64 im im) (*.f64 re re)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(pow.f64 (+.f64 (*.f64 im im) (*.f64 re re)) #s(literal 1/2 binary64))
(sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re))))))
(fabs.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))))
(fabs.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re))))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))))
(log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re))))
base
(neg.f64 (neg.f64 (log.f64 base)))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) base)))
(log.f64 base)
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base)) (neg.f64 (fabs.f64 (log.f64 base)))) (neg.f64 (fabs.f64 (log.f64 base))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (log.f64 base)) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))))) #s(literal 0 binary64))) #s(literal 0 binary64))
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base)) (fabs.f64 (log.f64 base))) (fabs.f64 (log.f64 base)))
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base)) (neg.f64 (log.f64 base))) (neg.f64 (log.f64 base)))
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base)) (log.f64 base)) (log.f64 base))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (log.f64 base) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))))) #s(literal 0 binary64))) #s(literal 0 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))))))) (*.f64 (log.f64 base) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))))))
(*.f64 (copysign.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (fabs.f64 (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (fabs.f64 (log.f64 base))) (*.f64 (copysign.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (neg.f64 (log.f64 base))) (*.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (neg.f64 (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))))))) (*.f64 (log.f64 base) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))))))
(*.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))))))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base)) (*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
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(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 (log.f64 base)) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))))) (fabs.f64 (log.f64 base))) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (fabs.f64 (log.f64 base))))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 (log.f64 base)) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))))) (neg.f64 (log.f64 base))) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (neg.f64 (log.f64 base))))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 (log.f64 base)) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))))) (log.f64 base)) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base)))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 (log.f64 base)) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 (log.f64 base)) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))))) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 (log.f64 base)) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (copysign.f64 #s(literal 1 binary64) (log.f64 base)))) (neg.f64 (fabs.f64 (log.f64 base))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (copysign.f64 #s(literal 1 binary64) (log.f64 base))) (fabs.f64 (log.f64 base)))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) #s(literal -1 binary64)) (neg.f64 (log.f64 base)))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) #s(literal 0 binary64)) (log.f64 base))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))))) (neg.f64 (log.f64 base)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base)) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base))) #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base)))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base)) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base))) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base)) #s(literal 0 binary64)))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (log.f64 base)) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (copysign.f64 #s(literal 1 binary64) (log.f64 base)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (log.f64 base)) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (-.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (log.f64 base) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (neg.f64 (log.f64 base)) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))))))
(/.f64 (*.f64 (neg.f64 (log.f64 base)) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (*.f64 (log.f64 base) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base))
(neg.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (neg.f64 (log.f64 base)) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))))))
(neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (neg.f64 (log.f64 base))))
(-.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base))))
(-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (copysign.f64 #s(literal 1 binary64) (log.f64 base))) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (fabs.f64 (log.f64 base)))))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (fabs.f64 (log.f64 base)))) (copysign.f64 #s(literal 1 binary64) (log.f64 base))))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 (log.f64 base) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))))))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (log.f64 base)) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))))) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (neg.f64 (log.f64 base))))
(+.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base)))
(log.f64 (pow.f64 (pow.f64 base (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))))) (pow.f64 (log.f64 base) #s(literal -2 binary64))))

eval52.0ms (1.7%)

Memory
-3.7MiB live, 49.0MiB allocated; 7ms collecting garbage
Compiler

Compiled 19 560 to 2 438 computations (87.5% saved)

prune14.0ms (0.5%)

Memory
1.2MiB live, 17.0MiB allocated; 0ms collecting garbage
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New57219591
Fresh000
Picked101
Done000
Total57319592
Accuracy
99.2%
Counts
592 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.2%
(/.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 (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
0.0%
(/.f64 (+.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) re))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
0.0%
(/.f64 (+.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) 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))))
10.8%
(/.f64 (+.f64 (*.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
97.9%
(/.f64 (+.f64 (*.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) 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))))
53.1%
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
53.3%
(/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base))
53.2%
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (log.f64 base) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))))))
53.2%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))))))
53.0%
(-.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base)) #s(literal 1 binary64)) #s(literal 1 binary64))
53.2%
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))))))
53.3%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))))
53.2%
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))))) (log.f64 base))
53.2%
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))))
53.1%
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
10.8%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base))))
98.2%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))))
0.0%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))))
0.0%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))))
Compiler

Compiled 688 to 178 computations (74.1% saved)

series156.0ms (5.1%)

Memory
5.4MiB live, 122.2MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08797647
Stop Event
iter-limit
Counts
40 → 211
Calls
Call 1
Inputs
re
(*.f64 re re)
im
(*.f64 im im)
base
(log.f64 base)
(atan2.f64 im re)
#s(literal 0 binary64)
(*.f64 (atan2.f64 im re) #s(literal 0 binary64))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 #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)))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal -1 binary64)
(*.f64 #s(literal -1 binary64) re)
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) re))
(/.f64 #s(literal 1 binary64) im)
(log.f64 (/.f64 #s(literal 1 binary64) im))
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))))
(/.f64 #s(literal -1 binary64) im)
(log.f64 (/.f64 #s(literal -1 binary64) im))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))))
(+.f64 (*.f64 im im) (*.f64 re re))
(log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))
(*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))))
#s(literal -2 binary64)
(pow.f64 (log.f64 base) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))))) (log.f64 base))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))))
(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) re)))
(*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) re))) (log.f64 base))
(+.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) re))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64)))
(/.f64 (+.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) re))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
Outputs
#s(approx re #s(literal 0 binary64))
#s(approx re re)
#s(approx (* re re) (pow.f64 re #s(literal 2 binary64)))
#s(approx (atan2 im re) (atan2.f64 im re))
#s(approx (* -1 re) (*.f64 #s(literal -1 binary64) re))
#s(approx (sqrt (+ (* re re) (* im im))) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))
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#s(approx (* (pow (log base) -2) (* 1/2 (log (+ (* im im) (* re re))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (*.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))))))
#s(approx (* (* (pow (log base) -2) (* 1/2 (log (+ (* im im) (* re re))))) (log base)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (*.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 base)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) re)))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) re)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) re)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) re)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64))))) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (*.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 base)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base))))))))
#s(approx (log (+ (* im im) (* re re))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))))
#s(approx (log (+ (* im im) (* re re))) (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
#s(approx (log (+ (* im im) (* re re))) (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (log (+ (* im im) (* re re))) (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (* 1/2 (log (+ (* im im) (* re re)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))))
#s(approx (* 1/2 (log (+ (* im im) (* re re)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (* 1/2 (log (+ (* im im) (* re re)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (* 1/2 (log (+ (* im im) (* re re)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (* (pow (log base) -2) (* 1/2 (log (+ (* im im) (* re re))))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
#s(approx (* (pow (log base) -2) (* 1/2 (log (+ (* im im) (* re re))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))))
#s(approx (* (pow (log base) -2) (* 1/2 (log (+ (* im im) (* re re))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))))))
#s(approx (* (pow (log base) -2) (* 1/2 (log (+ (* im im) (* re re))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (*.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))))))
#s(approx (* (* (pow (log base) -2) (* 1/2 (log (+ (* im im) (* re re))))) (log base)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (*.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 base)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) re)))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) re)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) re)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) re)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64))))) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx im im)
#s(approx (sqrt (+ (* re re) (* im im))) (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (/ 1 im) (/.f64 #s(literal 1 binary64) im))
#s(approx (log (/ 1 im)) (*.f64 #s(literal -1 binary64) (log.f64 im)))
#s(approx (/ (log (/ 1 im)) (log base)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 base))))
#s(approx (* -1 (/ (log (/ 1 im)) (log base))) (/.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 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64))))) (/.f64 (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64))))))) (/.f64 (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 6 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 4 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64))))))) (/.f64 (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) (log.f64 base))))
#s(approx (/ -1 im) (/.f64 #s(literal -1 binary64) im))
#s(approx (log (/ -1 im)) (*.f64 #s(literal -1 binary64) (log.f64 (neg.f64 im))))
#s(approx (/ (log (/ -1 im)) (log base)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (neg.f64 im)) (log.f64 base))))
#s(approx (* -1 (/ (log (/ -1 im)) (log base))) (/.f64 (log.f64 (neg.f64 im)) (log.f64 base)))
#s(approx (log (+ (* im im) (* re re))) (log.f64 (pow.f64 re #s(literal 2 binary64))))
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#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) im)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) im)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) im)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64))))) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) im))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64)))) (*.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 base)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base))))))))
#s(approx (log (/ -1 im)) (log.f64 (/.f64 #s(literal -1 binary64) im)))
#s(approx (/ (log (/ -1 im)) (log base)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base)))
#s(approx (log (+ (* im im) (* re re))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))
#s(approx (log (+ (* im im) (* re re))) (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
#s(approx (log (+ (* im im) (* re re))) (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (log (+ (* im im) (* re re))) (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (* 1/2 (log (+ (* im im) (* re re)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))
#s(approx (* 1/2 (log (+ (* im im) (* re re)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* 1/2 (log (+ (* im im) (* re re)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (* 1/2 (log (+ (* im im) (* re re)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (* (pow (log base) -2) (* 1/2 (log (+ (* im im) (* re re))))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
#s(approx (* (pow (log base) -2) (* 1/2 (log (+ (* im im) (* re re))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))))
#s(approx (* (pow (log base) -2) (* 1/2 (log (+ (* im im) (* re re))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))))))
#s(approx (* (pow (log base) -2) (* 1/2 (log (+ (* im im) (* re re))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (*.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))))))
#s(approx (* (* (pow (log base) -2) (* 1/2 (log (+ (* im im) (* re re))))) (log base)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (*.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 base)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64)))) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im)))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64))))) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx base base)
#s(approx (log base) (log.f64 base))
#s(approx (* (log base) (log base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 base)))
#s(approx (pow (log base) -2) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
#s(approx (/ 1 (log base)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
#s(approx (* (pow (log base) -2) (* 1/2 (log (+ (* im im) (* re re))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
#s(approx (* (* (pow (log base) -2) (* 1/2 (log (+ (* im im) (* re re))))) (log base)) (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (log.f64 base))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (log base) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))
#s(approx (* (log base) (log base)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64)))
#s(approx (/ (log (/ 1 im)) (log base)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 (/.f64 #s(literal 1 binary64) base)))))
#s(approx (* -1 (/ (log (/ 1 im)) (log base))) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 (/.f64 #s(literal 1 binary64) base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) base)))))
#s(approx (/ (log (/ -1 im)) (log base)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 (/.f64 #s(literal 1 binary64) base)))))
#s(approx (* -1 (/ (log (/ -1 im)) (log base))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 (/.f64 #s(literal 1 binary64) base))))
#s(approx (pow (log base) -2) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64))))
#s(approx (/ 1 (log base)) (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))
#s(approx (* (pow (log base) -2) (* 1/2 (log (+ (* im im) (* re re))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64)))))
#s(approx (* (* (pow (log base) -2) (* 1/2 (log (+ (* im im) (* re re))))) (log base)) (*.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) base)))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) base)))))
Calls

9 calls:

TimeVariablePoint
48.0ms
base
0
29.0ms
im
0
18.0ms
im
inf
11.0ms
base
-inf
9.0ms
base
inf

rewrite330.0ms (10.9%)

Memory
-101.3MiB live, 80.7MiB allocated; 92ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
054332
084282
1314272
21075248
04441248
Stop Event
iter-limit
node-limit
iter-limit
Counts
40 → 1 607
Calls
Call 1
Inputs
re
(*.f64 re re)
im
(*.f64 im im)
base
(log.f64 base)
(atan2.f64 im re)
#s(literal 0 binary64)
(*.f64 (atan2.f64 im re) #s(literal 0 binary64))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 #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)))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal -1 binary64)
(*.f64 #s(literal -1 binary64) re)
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) re))
(/.f64 #s(literal 1 binary64) im)
(log.f64 (/.f64 #s(literal 1 binary64) im))
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))))
(/.f64 #s(literal -1 binary64) im)
(log.f64 (/.f64 #s(literal -1 binary64) im))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))))
(+.f64 (*.f64 im im) (*.f64 re re))
(log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))
(*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))))
#s(literal -2 binary64)
(pow.f64 (log.f64 base) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))))) (log.f64 base))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))))
(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) re)))
(*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) re))) (log.f64 base))
(+.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) re))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64)))
(/.f64 (+.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) re))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
Outputs
re
(*.f64 (pow.f64 (fabs.f64 re) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 re) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 re) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 re) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (neg.f64 (neg.f64 (fabs.f64 re))))
(*.f64 (neg.f64 (neg.f64 (neg.f64 re))) (neg.f64 (neg.f64 (neg.f64 re))))
(*.f64 (fabs.f64 (*.f64 (neg.f64 re) #s(literal -1 binary64))) (fabs.f64 re))
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(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base))) (fabs.f64 (log.f64 base))) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (fabs.f64 (log.f64 base))))) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (fabs.f64 (log.f64 base))))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base))) (neg.f64 (log.f64 base))) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (log.f64 base)))) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (neg.f64 (log.f64 base))))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base))) (log.f64 base)) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (log.f64 base)))) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base)))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base))) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base)) (fabs.f64 (log.f64 base))) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) (fabs.f64 (log.f64 base))))) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (fabs.f64 (log.f64 base))))
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base)) (neg.f64 (log.f64 base))) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) (log.f64 base)))) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (neg.f64 (log.f64 base))))
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base)) (log.f64 base)) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) (log.f64 base)))) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 base)))
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base)) #s(literal 2 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base)) #s(literal 1 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (neg.f64 (/.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base)) (fabs.f64 (log.f64 base)))) (neg.f64 (fabs.f64 (log.f64 base))))
(/.f64 (neg.f64 (/.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base)) (neg.f64 (log.f64 base)))) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (/.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base)) (log.f64 base))) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64)))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 (*.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base)) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base)) (fabs.f64 (log.f64 base))) (fabs.f64 (log.f64 base)))
(/.f64 (/.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base)) (neg.f64 (log.f64 base))) (neg.f64 (log.f64 base)))
(/.f64 (/.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base)) (log.f64 base)) (log.f64 base))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) #s(literal 0 binary64)) (*.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 0 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (neg.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (neg.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base))))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(-.f64 (*.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (neg.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re)))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (neg.f64 (log.f64 base)) (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re)))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))
(+.f64 (/.f64 (*.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(+.f64 (/.f64 (*.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) #s(literal 0 binary64))
(+.f64 (*.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (/.f64 (*.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(log.f64 (pow.f64 (pow.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))

eval110.0ms (3.6%)

Memory
5.6MiB live, 102.0MiB allocated; 22ms collecting garbage
Compiler

Compiled 40 925 to 4 558 computations (88.9% saved)

prune34.0ms (1.1%)

Memory
-0.9MiB live, 39.8MiB allocated; 1ms collecting garbage
Pruning

38 alts after pruning (37 fresh and 1 done)

PrunedKeptTotal
New1 472291 501
Fresh6814
Picked415
Done000
Total1 482381 520
Accuracy
99.4%
Counts
1 520 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
0.0%
(/.f64 (+.f64 (*.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
26.2%
(/.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 (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
0.0%
(/.f64 (+.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) re))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
0.0%
(/.f64 (+.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) re))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
10.8%
(/.f64 (+.f64 (*.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
53.1%
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
53.3%
(/.f64 (*.f64 (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 base))
0.0%
(/.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
0.0%
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base))))
53.2%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (*.f64 (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))) #s(literal 1/2 binary64))))
53.0%
(-.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base)) #s(literal 1 binary64)) #s(literal 1 binary64))
0.0%
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base)))
10.8%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(approx (* 1/2 (log (+ (* im im) (* re re)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))))
0.0%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(approx (* 1/2 (log (+ (* im im) (* re re)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re)))))
53.3%
(*.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))))
53.2%
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))))) (log.f64 base))
53.2%
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))))
97.9%
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(approx (* 1/2 (log (+ (* im im) (* re re)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))) (log.f64 base))
0.0%
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(approx (* 1/2 (log (+ (* im im) (* re re)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))))) (log.f64 base))
0.0%
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(approx (* 1/2 (log (+ (* im im) (* re re)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))) (log.f64 base))
53.1%
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
53.2%
(*.f64 (*.f64 (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))) #s(literal 1/2 binary64)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
0.0%
(*.f64 (neg.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base))) (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
26.3%
(*.f64 (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))))
10.8%
(*.f64 #s(approx (* (pow (log base) -2) (* 1/2 (log (+ (* im im) (* re re))))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))) (log.f64 base))
0.0%
(*.f64 #s(approx (* (pow (log base) -2) (* 1/2 (log (+ (* im im) (* re re))))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))) (log.f64 base))
52.9%
(log.f64 (pow.f64 (+.f64 (*.f64 im im) (*.f64 re re)) (/.f64 #s(literal 1/2 binary64) (log.f64 base))))
0.0%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (neg.f64 im)) (log.f64 base)))
98.2%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
0.0%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (neg.f64 (neg.f64 (log.f64 (neg.f64 im)))))))
98.1%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im))))
0.0%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 im)))) (/.f64 #s(literal 1 binary64) (log.f64 base))))
98.1%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (log.f64 base))))
10.8%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base))))
0.0%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))))
98.2%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (*.f64 (pow.f64 im (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 im (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))) (log.f64 base))))
97.3%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 #s(literal 1 binary64) (log.f64 base))))))
0.0%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) im) (/.f64 #s(literal 1 binary64) (log.f64 base))))))
Compiler

Compiled 1 088 to 286 computations (73.7% saved)

series214.0ms (7.1%)

Memory
7.6MiB live, 168.3MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08867623
Stop Event
iter-limit
Counts
36 → 210
Calls
Call 1
Inputs
re
(*.f64 re re)
im
(*.f64 im im)
base
(log.f64 base)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) re)
(log.f64 (/.f64 #s(literal 1 binary64) re))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(neg.f64 re)
(log.f64 im)
(+.f64 (*.f64 im im) (*.f64 re re))
(log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))
(*.f64 (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))) #s(literal 1/2 binary64))
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
#s(approx (* (pow (log base) -2) (* 1/2 (log (+ (* im im) (* re re))))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(/.f64 (log.f64 im) (log.f64 base))
#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))
(/.f64 #s(literal -1 binary64) #s(literal 2 binary64))
(pow.f64 im (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)))
(*.f64 (pow.f64 im (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 im (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (*.f64 (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 base))
(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re)))
(*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base))
(/.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(log.f64 (*.f64 (pow.f64 im (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 im (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)))))
(/.f64 (log.f64 (*.f64 (pow.f64 im (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 im (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (*.f64 (pow.f64 im (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 im (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (*.f64 (pow.f64 im (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 im (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))) (log.f64 base))))
(*.f64 #s(approx (* (pow (log base) -2) (* 1/2 (log (+ (* im im) (* re re))))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))) (log.f64 base))
Outputs
#s(approx re #s(literal 0 binary64))
#s(approx re re)
#s(approx (* re re) (pow.f64 re #s(literal 2 binary64)))
#s(approx (/ 1 re) (/.f64 #s(literal 1 binary64) re))
#s(approx (log (/ 1 re)) (*.f64 #s(literal -1 binary64) (log.f64 re)))
#s(approx (neg re) (*.f64 #s(literal -1 binary64) re))
#s(approx (+ (* im im) (* re re)) (pow.f64 im #s(literal 2 binary64)))
#s(approx (+ (* im im) (* re re)) (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))
#s(approx (log (+ (* im im) (* re re))) (log.f64 (pow.f64 im #s(literal 2 binary64))))
#s(approx (log (+ (* im im) (* re re))) (+.f64 (log.f64 (pow.f64 im #s(literal 2 binary64))) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
#s(approx (log (+ (* im im) (* re re))) (+.f64 (log.f64 (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (log (+ (* im im) (* re re))) (+.f64 (log.f64 (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (* (log (+ (* im im) (* re re))) 1/2) (*.f64 #s(literal 1/2 binary64) (log.f64 (pow.f64 im #s(literal 2 binary64)))))
#s(approx (* (log (+ (* im im) (* re re))) 1/2) (+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* (log (+ (* im im) (* re re))) 1/2) (+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (pow.f64 im #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (* (log (+ (* im im) (* re re))) 1/2) (+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (pow.f64 im #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (/ (log (/ 1 re)) (pow (log base) 2)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
#s(approx (* -1 (/ (log (/ 1 re)) (pow (log base) 2))) (/.f64 (log.f64 re) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
#s(approx (* (pow (log base) -2) (* 1/2 (log (+ (* im im) (* re re))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (pow.f64 im #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
#s(approx (* (pow (log base) -2) (* 1/2 (log (+ (* im im) (* re re))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (pow.f64 im #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))))
#s(approx (* (pow (log base) -2) (* 1/2 (log (+ (* im im) (* re re))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (pow.f64 im #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))))))
#s(approx (* (pow (log base) -2) (* 1/2 (log (+ (* im im) (* re re))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (pow.f64 im #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))) (/.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))))) (/.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 6 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 4 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))))) (/.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (log.f64 base))))
#s(approx (/ (* (log (+ (* im im) (* re re))) 1/2) (log base)) (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (pow.f64 im #s(literal 2 binary64))) (log.f64 base))))
#s(approx (/ (* (log (+ (* im im) (* re re))) 1/2) (log base)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (pow.f64 im #s(literal 2 binary64))) (log.f64 base))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base))))))
#s(approx (/ (* (log (+ (* im im) (* re re))) 1/2) (log base)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (pow.f64 im #s(literal 2 binary64))) (log.f64 base))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base))))))))
#s(approx (/ (* (log (+ (* im im) (* re re))) 1/2) (log base)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (pow.f64 im #s(literal 2 binary64))) (log.f64 base))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 base)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 6 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (+.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))))))
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#s(approx (/ (* (log (+ (* im im) (* re re))) 1/2) (log base)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (*.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 base)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) re)))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) re)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) re)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) re)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64))))) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx im im)
#s(approx (log im) (log.f64 im))
#s(approx (log (+ (* im im) (* re re))) (log.f64 (pow.f64 re #s(literal 2 binary64))))
#s(approx (log (+ (* im im) (* re re))) (+.f64 (log.f64 (pow.f64 re #s(literal 2 binary64))) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
#s(approx (log (+ (* im im) (* re re))) (+.f64 (log.f64 (pow.f64 re #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (log (+ (* im im) (* re re))) (+.f64 (log.f64 (pow.f64 re #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (* (log (+ (* im im) (* re re))) 1/2) (*.f64 #s(literal 1/2 binary64) (log.f64 (pow.f64 re #s(literal 2 binary64)))))
#s(approx (* (log (+ (* im im) (* re re))) 1/2) (+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (* (log (+ (* im im) (* re re))) 1/2) (+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (pow.f64 re #s(literal 2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (* (log (+ (* im im) (* re re))) 1/2) (+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (pow.f64 re #s(literal 2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (* (pow (log base) -2) (* 1/2 (log (+ (* im im) (* re re))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (pow.f64 re #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
#s(approx (* (pow (log base) -2) (* 1/2 (log (+ (* im im) (* re re))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (pow.f64 re #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))))
#s(approx (* (pow (log base) -2) (* 1/2 (log (+ (* im im) (* re re))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (pow.f64 re #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))))))
#s(approx (* (pow (log base) -2) (* 1/2 (log (+ (* im im) (* re re))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (pow.f64 re #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))))))
#s(approx (/ (log im) (log base)) (/.f64 (log.f64 im) (log.f64 base)))
#s(approx (sqrt (+ (* re re) (* im im))) (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (pow im (/ -1 2)) (pow.f64 im #s(literal -1/2 binary64)))
#s(approx (* (pow im (/ -1 2)) (pow im (/ -1 2))) (pow.f64 (pow.f64 im #s(literal -1/2 binary64)) #s(literal 2 binary64)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64))))) (/.f64 (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64))))))) (/.f64 (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 6 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 4 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64))))))) (/.f64 (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) (log.f64 base))))
#s(approx (/ (* (log (+ (* im im) (* re re))) 1/2) (log base)) (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (pow.f64 re #s(literal 2 binary64))) (log.f64 base))))
#s(approx (/ (* (log (+ (* im im) (* re re))) 1/2) (log base)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (pow.f64 re #s(literal 2 binary64))) (log.f64 base))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base))))))
#s(approx (/ (* (log (+ (* im im) (* re re))) 1/2) (log base)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (pow.f64 re #s(literal 2 binary64))) (log.f64 base))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base))))))))
#s(approx (/ (* (log (+ (* im im) (* re re))) 1/2) (log base)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (pow.f64 re #s(literal 2 binary64))) (log.f64 base))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 base)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 6 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64))))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (+.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64))))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (+.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 4 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 6 binary64))))))))))
#s(approx (log (* (pow im (/ -1 2)) (pow im (/ -1 2)))) (log.f64 (pow.f64 (pow.f64 im #s(literal -1/2 binary64)) #s(literal 2 binary64))))
#s(approx (/ (log (* (pow im (/ -1 2)) (pow im (/ -1 2)))) (log base)) (/.f64 (log.f64 (pow.f64 (pow.f64 im #s(literal -1/2 binary64)) #s(literal 2 binary64))) (log.f64 base)))
#s(approx (* -1 (/ (log (* (pow im (/ -1 2)) (pow im (/ -1 2)))) (log base))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (pow.f64 (pow.f64 im #s(literal -1/2 binary64)) #s(literal 2 binary64))) (log.f64 base))))
#s(approx (log im) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))
#s(approx (+ (* im im) (* re re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (log (+ (* im im) (* re re))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))
#s(approx (log (+ (* im im) (* re re))) (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
#s(approx (log (+ (* im im) (* re re))) (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
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#s(approx (* (log (+ (* im im) (* re re))) 1/2) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
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#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64))))) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx base base)
#s(approx (log base) (log.f64 base))
#s(approx (pow (log base) 2) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (* (pow (log base) -2) (* 1/2 (log (+ (* im im) (* re re))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 base)))
#s(approx (/ (* (log (+ (* im im) (* re re))) 1/2) (log base)) (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (log.f64 base))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (log base) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))
#s(approx (pow (log base) 2) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64)))
#s(approx (/ (log (/ 1 re)) (pow (log base) 2)) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64))))
#s(approx (* -1 (/ (log (/ 1 re)) (pow (log base) 2))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64)))))
#s(approx (* (pow (log base) -2) (* 1/2 (log (+ (* im im) (* re re))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64)))))
#s(approx (/ (log im) (log base)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) base)))))
#s(approx (/ (* (log (+ (* im im) (* re re))) 1/2) (log base)) (*.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) base)))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) base)))))
#s(approx (/ (log (* (pow im (/ -1 2)) (pow im (/ -1 2)))) (log base)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (pow.f64 (pow.f64 im #s(literal -1/2 binary64)) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) base)))))
#s(approx (* -1 (/ (log (* (pow im (/ -1 2)) (pow im (/ -1 2)))) (log base))) (/.f64 (log.f64 (pow.f64 (pow.f64 im #s(literal -1/2 binary64)) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) base))))
Calls

9 calls:

TimeVariablePoint
50.0ms
base
0
31.0ms
im
0
21.0ms
im
-inf
20.0ms
im
inf
16.0ms
re
0

rewrite111.0ms (3.7%)

Memory
-1.2MiB live, 48.7MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057323
085269
1305257
21063257
04026257
Stop Event
iter-limit
node-limit
iter-limit
Counts
36 → 530
Calls
Call 1
Inputs
re
(*.f64 re re)
im
(*.f64 im im)
base
(log.f64 base)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) re)
(log.f64 (/.f64 #s(literal 1 binary64) re))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(neg.f64 re)
(log.f64 im)
(+.f64 (*.f64 im im) (*.f64 re re))
(log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))
(*.f64 (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))) #s(literal 1/2 binary64))
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
#s(approx (* (pow (log base) -2) (* 1/2 (log (+ (* im im) (* re re))))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(/.f64 (log.f64 im) (log.f64 base))
#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))
(/.f64 #s(literal -1 binary64) #s(literal 2 binary64))
(pow.f64 im (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)))
(*.f64 (pow.f64 im (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 im (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (*.f64 (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 base))
(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re)))
(*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base))
(/.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(log.f64 (*.f64 (pow.f64 im (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 im (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)))))
(/.f64 (log.f64 (*.f64 (pow.f64 im (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 im (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (*.f64 (pow.f64 im (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 im (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (*.f64 (pow.f64 im (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 im (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))) (log.f64 base))))
(*.f64 #s(approx (* (pow (log base) -2) (* 1/2 (log (+ (* im im) (* re re))))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))) (log.f64 base))
Outputs
re
(*.f64 (pow.f64 (fabs.f64 re) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 re) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 re) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 re) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (neg.f64 (neg.f64 (fabs.f64 re))))
(*.f64 (neg.f64 (neg.f64 (neg.f64 re))) (neg.f64 (neg.f64 (neg.f64 re))))
(*.f64 (pow.f64 (fabs.f64 re) #s(literal 1 binary64)) (pow.f64 (fabs.f64 re) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 re) #s(literal 1 binary64)) (fabs.f64 re))
(*.f64 (pow.f64 (neg.f64 re) #s(literal 1 binary64)) (pow.f64 (neg.f64 re) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 re) #s(literal 1 binary64)) (neg.f64 re))
(*.f64 (pow.f64 re (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 re (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (fabs.f64 re)))
(*.f64 (neg.f64 (neg.f64 re)) (neg.f64 (neg.f64 re)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)) re)
(*.f64 (fabs.f64 re) (fabs.f64 re))
(*.f64 (neg.f64 re) (neg.f64 re))
(*.f64 re re)
(pow.f64 (neg.f64 (fabs.f64 re)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 re)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 re) #s(literal 2 binary64))
(pow.f64 (neg.f64 re) #s(literal 2 binary64))
(pow.f64 (*.f64 re re) #s(literal 1 binary64))
(pow.f64 re #s(literal 2 binary64))
(/.f64 (pow.f64 (fabs.f64 re) #s(literal 1 binary64)) (pow.f64 (fabs.f64 re) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 re) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) re))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)) (/.f64 #s(literal 1 binary64) re))
(neg.f64 (*.f64 (neg.f64 re) re))
(sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re)))
(fabs.f64 (*.f64 (neg.f64 re) re))
(fabs.f64 (*.f64 re re))
(exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 re)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 re)) #s(literal 2 binary64)))
im
(*.f64 (pow.f64 (fabs.f64 im) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 im) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 im) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 im) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 im))) (neg.f64 (neg.f64 (fabs.f64 im))))
(*.f64 (neg.f64 (neg.f64 (neg.f64 im))) (neg.f64 (neg.f64 (neg.f64 im))))
(*.f64 (pow.f64 (fabs.f64 im) #s(literal 1 binary64)) (pow.f64 (fabs.f64 im) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 im) #s(literal 1 binary64)) (fabs.f64 im))
(*.f64 (pow.f64 (neg.f64 im) #s(literal 1 binary64)) (pow.f64 (neg.f64 im) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 im) #s(literal 1 binary64)) (neg.f64 im))
(*.f64 (pow.f64 im (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 im (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 im)))
(*.f64 (neg.f64 (neg.f64 im)) (neg.f64 (neg.f64 im)))
(*.f64 (fabs.f64 im) (fabs.f64 im))
(*.f64 (fabs.f64 im) im)
(*.f64 (neg.f64 im) (neg.f64 im))
(*.f64 im im)
(pow.f64 (neg.f64 (fabs.f64 im)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 im)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 im) #s(literal 2 binary64))
(pow.f64 (neg.f64 im) #s(literal 2 binary64))
(pow.f64 (*.f64 im im) #s(literal 1 binary64))
(pow.f64 im #s(literal 2 binary64))
(/.f64 (pow.f64 (fabs.f64 im) #s(literal 1 binary64)) (pow.f64 (fabs.f64 im) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 im) #s(literal 1 binary64)) (pow.f64 (neg.f64 im) #s(literal -1 binary64)))
(/.f64 (fabs.f64 im) (/.f64 #s(literal 1 binary64) im))
(neg.f64 (*.f64 (neg.f64 im) im))
(sqrt.f64 (*.f64 (*.f64 im im) (*.f64 im im)))
(fabs.f64 (*.f64 (neg.f64 im) im))
(fabs.f64 (*.f64 im im))
(exp.f64 (*.f64 (log.f64 (fabs.f64 im)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 im)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))
base
(log.f64 base)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal -1 binary64)
(*.f64 (pow.f64 re #s(literal -1/2 binary64)) (pow.f64 re #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) re))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) re))
(pow.f64 (neg.f64 (neg.f64 re)) #s(literal -1 binary64))
(pow.f64 re #s(literal -1 binary64))
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) re) (neg.f64 re)) #s(literal -1/2 binary64)) (neg.f64 re))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 re)) (*.f64 #s(literal -1/2 binary64) (neg.f64 re))) (*.f64 re re))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) re) (/.f64 #s(literal 1/2 binary64) re)) (*.f64 (/.f64 #s(literal 1/2 binary64) re) (/.f64 #s(literal 1/2 binary64) re))) (-.f64 (/.f64 #s(literal 1/2 binary64) re) (/.f64 #s(literal 1/2 binary64) re)))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) re) (/.f64 #s(literal 1/2 binary64) re)) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) re) (/.f64 #s(literal 1/2 binary64) re)) (*.f64 (/.f64 #s(literal 1/2 binary64) re) (/.f64 #s(literal 1/2 binary64) re)))))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 re)) (*.f64 (neg.f64 re) #s(literal -1/2 binary64))) (*.f64 re re))
(/.f64 (pow.f64 re #s(literal -1/2 binary64)) (pow.f64 re #s(literal 1/2 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 re) #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 re)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 re)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 re))))
(/.f64 #s(literal -1 binary64) (neg.f64 re))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 re)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 re))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) re))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 re) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 re)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))
(/.f64 #s(literal 1 binary64) (/.f64 re #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) re)
(/.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (neg.f64 re)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 re #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 re))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) re))
(neg.f64 (/.f64 #s(literal -1 binary64) re))
(-.f64 (/.f64 #s(literal 1/2 binary64) re) (/.f64 #s(literal 1/2 binary64) (neg.f64 re)))
(-.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 re))))
(-.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 #s(literal 0 binary64) re))
(exp.f64 (*.f64 (log.f64 re) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) re) (/.f64 #s(literal 1/2 binary64) re))
(+.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 re))))
(+.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 #s(literal 0 binary64) re))
(*.f64 #s(literal -1 binary64) (log.f64 re))
(neg.f64 (log.f64 (neg.f64 (neg.f64 re))))
(neg.f64 (log.f64 re))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 re)))
(-.f64 (log.f64 #s(literal 1 binary64)) (log.f64 (neg.f64 (neg.f64 re))))
(-.f64 (log.f64 #s(literal 1 binary64)) (log.f64 re))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1/2 binary64) re)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) re)))
(+.f64 (log.f64 #s(literal 1 binary64)) (neg.f64 (log.f64 re)))
(+.f64 (neg.f64 (log.f64 re)) (log.f64 #s(literal 1 binary64)))
(log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)) #s(literal -1 binary64)))
(log.f64 (/.f64 #s(literal 1 binary64) re))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))) #s(literal 0 binary64))
(*.f64 (pow.f64 (fabs.f64 (log.f64 base)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 (log.f64 base)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 (log.f64 base)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 (log.f64 base)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 (log.f64 base)))) (neg.f64 (neg.f64 (fabs.f64 (log.f64 base)))))
(*.f64 (neg.f64 (neg.f64 (neg.f64 (log.f64 base)))) (neg.f64 (neg.f64 (neg.f64 (log.f64 base)))))
(*.f64 (pow.f64 (fabs.f64 (log.f64 base)) #s(literal 1 binary64)) (pow.f64 (fabs.f64 (log.f64 base)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 (log.f64 base)) #s(literal 1 binary64)) (fabs.f64 (log.f64 base)))
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(/.f64 (log.f64 im) (log.f64 base))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 im))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 (fabs.f64 im))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (*.f64 #s(literal 1 binary64) (log.f64 base))))
(neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)) #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(+.f64 (*.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)) #s(literal -1/2 binary64)) (*.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)) #s(literal -1/2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))) (*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))))
(log.f64 (pow.f64 im (/.f64 #s(literal 1 binary64) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 #s(approx (* (pow (log base) -2) (* 1/2 (log (+ (* im im) (* re re))))) (*.f64 (log.f64 re) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (log.f64 base))
(*.f64 (log.f64 base) #s(approx (* (pow (log base) -2) (* 1/2 (log (+ (* im im) (* re re))))) (*.f64 (log.f64 re) (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(log.f64 (pow.f64 base #s(approx (* (pow (log base) -2) (* 1/2 (log (+ (* im im) (* re re))))) (*.f64 (log.f64 re) (pow.f64 (log.f64 base) #s(literal -2 binary64))))))

eval50.0ms (1.7%)

Memory
5.6MiB live, 49.7MiB allocated; 5ms collecting garbage
Compiler

Compiled 15 334 to 2 835 computations (81.5% saved)

prune24.0ms (0.8%)

Memory
-0.3MiB live, 25.0MiB allocated; 2ms collecting garbage
Pruning

41 alts after pruning (37 fresh and 4 done)

PrunedKeptTotal
New73720757
Fresh151732
Picked235
Done011
Total75441795
Accuracy
99.4%
Counts
795 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
0.0%
(/.f64 (+.f64 (*.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
26.2%
(/.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 (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
53.1%
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
53.3%
(/.f64 (*.f64 (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 base))
0.0%
(/.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) im))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
0.0%
(/.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
0.0%
(/.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base)) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
0.0%
(/.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base)) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))))
10.8%
(/.f64 #s(approx (* (log (+ (* im im) (* re re))) 1/2) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))) (log.f64 base))
0.0%
(/.f64 #s(approx (* (log (+ (* im im) (* re re))) 1/2) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re)))) (log.f64 base))
10.8%
(/.f64 #s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) re))))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
0.0%
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base))))
53.2%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (*.f64 (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))) #s(literal 1/2 binary64))))
53.0%
(-.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base)) #s(literal 1 binary64)) #s(literal 1 binary64))
10.8%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(approx (* 1/2 (log (+ (* im im) (* re re)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))))
0.0%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(approx (* 1/2 (log (+ (* im im) (* re re)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re)))))
53.3%
(*.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))))
53.2%
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))))) (log.f64 base))
53.2%
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))))
97.9%
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(approx (* 1/2 (log (+ (* im im) (* re re)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))) (log.f64 base))
0.0%
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(approx (* 1/2 (log (+ (* im im) (* re re)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))) (log.f64 base))
53.1%
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
0.0%
(*.f64 (*.f64 (neg.f64 (log.f64 base)) (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re)))) (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
0.0%
(*.f64 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))))
26.3%
(*.f64 (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))))
10.8%
(*.f64 #s(approx (* (pow (log base) -2) (* 1/2 (log (+ (* im im) (* re re))))) (/.f64 (log.f64 re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (log.f64 base))
10.8%
(*.f64 #s(approx (* (pow (log base) -2) (* 1/2 (log (+ (* im im) (* re re))))) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 re)))) (log.f64 base))
10.8%
(*.f64 #s(approx (* (pow (log base) -2) (* 1/2 (log (+ (* im im) (* re re))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1/2 binary64) re))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))) (log.f64 base))
10.8%
(*.f64 #s(approx (* (pow (log base) -2) (* 1/2 (log (+ (* im im) (* re re))))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))))) (log.f64 base))
10.7%
(*.f64 #s(approx (* (pow (log base) -2) (* 1/2 (log (+ (* im im) (* re re))))) (*.f64 #s(literal -1 binary64) (log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) re) (pow.f64 (log.f64 base) #s(literal -2 binary64)))))) (log.f64 base))
52.9%
(log.f64 (pow.f64 (+.f64 (*.f64 im im) (*.f64 re re)) (/.f64 #s(literal 1/2 binary64) (log.f64 base))))
0.0%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (neg.f64 im)) (log.f64 base)))
98.2%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
98.1%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 (fabs.f64 im)))))
98.1%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im))))
98.1%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im)))
98.1%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (log.f64 (fabs.f64 im)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
98.2%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (log.f64 (pow.f64 im #s(literal -1/2 binary64)))) (log.f64 base))))
97.3%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 #s(literal 1 binary64) (log.f64 base))))))
0.0%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) im) (/.f64 #s(literal 1 binary64) (log.f64 base))))))
97.4%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (log.f64 (pow.f64 im (/.f64 #s(literal 1 binary64) (log.f64 base)))))
Compiler

Compiled 1 027 to 297 computations (71.1% saved)

series222.0ms (7.3%)

Memory
-5.9MiB live, 179.3MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06995635
Stop Event
iter-limit
Counts
34 → 160
Calls
Call 1
Inputs
re
im
base
(log.f64 base)
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) re)
(log.f64 (/.f64 #s(literal 1 binary64) re))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) re))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) re)))))
(*.f64 #s(literal -1 binary64) im)
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) im))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(neg.f64 im)
(log.f64 (neg.f64 im))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) im)))
(*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) im))) (log.f64 base))
#s(literal -1/2 binary64)
#s(approx (* 1/2 (log (+ (* im im) (* re re)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))))
(/.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 (neg.f64 im)) (log.f64 base)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(approx (* 1/2 (log (+ (* im im) (* re re)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))))
(pow.f64 im #s(literal -1/2 binary64))
(log.f64 (pow.f64 im #s(literal -1/2 binary64)))
(*.f64 #s(literal 2 binary64) (log.f64 (pow.f64 im #s(literal -1/2 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 (pow.f64 im #s(literal -1/2 binary64)))) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (log.f64 (pow.f64 im #s(literal -1/2 binary64)))) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (log.f64 (pow.f64 im #s(literal -1/2 binary64)))) (log.f64 base))))
(/.f64 #s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) re))))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) im))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
Outputs
#s(approx re #s(literal 0 binary64))
#s(approx re re)
#s(approx (/ 1 re) (/.f64 #s(literal 1 binary64) re))
#s(approx (log (/ 1 re)) (*.f64 #s(literal -1 binary64) (log.f64 re)))
#s(approx (* -1 (log (/ 1 re))) (log.f64 re))
#s(approx (* (log base) (log (/ 1 re))) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (log.f64 re))))
#s(approx (* -1 (* (log base) (log (/ 1 re)))) (*.f64 (log.f64 base) (log.f64 re)))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (+.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (+.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 4 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 6 binary64))))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 6 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))))))
#s(approx (* 1/2 (log (+ (* im im) (* re re)))) (*.f64 #s(literal 1/2 binary64) (log.f64 (pow.f64 im #s(literal 2 binary64)))))
#s(approx (* 1/2 (log (+ (* im im) (* re re)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
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#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) re))
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#s(approx im im)
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (+.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64))))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (+.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 4 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 6 binary64))))))))))
#s(approx (* -1 im) (*.f64 #s(literal -1 binary64) im))
#s(approx (sqrt (+ (* re re) (* im im))) (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (log (neg im)) (log.f64 (neg.f64 im)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 6 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64))))))))
#s(approx (* 1/2 (log (+ (* im im) (* re re)))) (*.f64 #s(literal 1/2 binary64) (log.f64 (pow.f64 re #s(literal 2 binary64)))))
#s(approx (* 1/2 (log (+ (* im im) (* re re)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (* 1/2 (log (+ (* im im) (* re re)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (pow.f64 re #s(literal 2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (* 1/2 (log (+ (* im im) (* re re)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (pow.f64 re #s(literal 2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (/ (log (neg im)) (log base)) (/.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 (pow.f64 re #s(literal 2 binary64)))) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64))))) (/.f64 (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64))))))) (/.f64 (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 6 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 4 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64))))))) (/.f64 (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) (log.f64 base))))
#s(approx (* (/ 1 (log base)) (* 1/2 (log (+ (* im im) (* re re))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (pow.f64 re #s(literal 2 binary64))) (log.f64 base))))
#s(approx (* (/ 1 (log base)) (* 1/2 (log (+ (* im im) (* re re))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (pow.f64 re #s(literal 2 binary64))) (log.f64 base))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base))))))
#s(approx (* (/ 1 (log base)) (* 1/2 (log (+ (* im im) (* re re))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (pow.f64 re #s(literal 2 binary64))) (log.f64 base))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base))))))))
#s(approx (* (/ 1 (log base)) (* 1/2 (log (+ (* im im) (* re re))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (pow.f64 re #s(literal 2 binary64))) (log.f64 base))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 base)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base))))))))
#s(approx (pow im -1/2) (pow.f64 im #s(literal -1/2 binary64)))
#s(approx (log (pow im -1/2)) (log.f64 (pow.f64 im #s(literal -1/2 binary64))))
#s(approx (* 2 (log (pow im -1/2))) (*.f64 #s(literal 2 binary64) (log.f64 (pow.f64 im #s(literal -1/2 binary64)))))
#s(approx (/ (* 2 (log (pow im -1/2))) (log base)) (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (pow.f64 im #s(literal -1/2 binary64))) (log.f64 base))))
#s(approx (* -1 (/ (* 2 (log (pow im -1/2))) (log base))) (*.f64 #s(literal -2 binary64) (/.f64 (log.f64 (pow.f64 im #s(literal -1/2 binary64))) (log.f64 base))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) im)))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) im)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) im)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) im)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64))))) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (log (neg im)) (*.f64 #s(literal -1 binary64) (log.f64 (neg.f64 (/.f64 #s(literal 1 binary64) im)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64)))) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (* 1/2 (log (+ (* im im) (* re re)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (/ (log (neg im)) (log base)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (neg.f64 (/.f64 #s(literal 1 binary64) im))) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64)))) (*.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 base)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base))))))))
#s(approx (* (/ 1 (log base)) (* 1/2 (log (+ (* im im) (* re re))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (*.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 base)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base))))))))
#s(approx (pow im -1/2) (pow.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1/2 binary64)))
#s(approx (log (pow im -1/2)) (log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1/2 binary64))))
#s(approx (* 2 (log (pow im -1/2))) (*.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1/2 binary64)))))
#s(approx (/ (* 2 (log (pow im -1/2))) (log base)) (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1/2 binary64))) (log.f64 base))))
#s(approx (* -1 (/ (* 2 (log (pow im -1/2))) (log base))) (*.f64 #s(literal -2 binary64) (/.f64 (log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1/2 binary64))) (log.f64 base))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im)))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64))))) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))))
#s(approx (log (neg im)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64)))) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (* 1/2 (log (+ (* im im) (* re re)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (/ (log (neg im)) (log base)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64)))) (*.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 base)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base))))))))
#s(approx (* (/ 1 (log base)) (* 1/2 (log (+ (* im im) (* re re))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (*.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 base)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base))))))))
#s(approx base base)
#s(approx (log base) (log.f64 base))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (pow (log base) 2) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (/ 1 (log base)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 base)))
#s(approx (* (/ 1 (log base)) (* 1/2 (log (+ (* im im) (* re re))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (log.f64 base))))
#s(approx (log base) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))
#s(approx (* (log base) (log (/ 1 re))) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (log.f64 (/.f64 #s(literal 1 binary64) re)))))
#s(approx (* -1 (* (log base) (log (/ 1 re)))) (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (log.f64 (/.f64 #s(literal 1 binary64) re))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) base)))))
#s(approx (pow (log base) 2) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64)))
#s(approx (/ 1 (log base)) (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))
#s(approx (/ (log (neg im)) (log base)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (neg.f64 im)) (log.f64 (/.f64 #s(literal 1 binary64) base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) base)))))
#s(approx (* (/ 1 (log base)) (* 1/2 (log (+ (* im im) (* re re))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) base)))))
#s(approx (/ (* 2 (log (pow im -1/2))) (log base)) (*.f64 #s(literal -2 binary64) (/.f64 (log.f64 (pow.f64 im #s(literal -1/2 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) base)))))
#s(approx (* -1 (/ (* 2 (log (pow im -1/2))) (log base))) (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (pow.f64 im #s(literal -1/2 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) base)))))
Calls

9 calls:

TimeVariablePoint
56.0ms
base
0
32.0ms
im
0
26.0ms
im
inf
18.0ms
im
-inf
15.0ms
re
0

rewrite99.0ms (3.3%)

Memory
0.3MiB live, 45.8MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
053314
076277
1288257
21031251
04025251
Stop Event
iter-limit
node-limit
iter-limit
Counts
34 → 439
Calls
Call 1
Inputs
re
im
base
(log.f64 base)
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) re)
(log.f64 (/.f64 #s(literal 1 binary64) re))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) re))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) re)))))
(*.f64 #s(literal -1 binary64) im)
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) im))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(neg.f64 im)
(log.f64 (neg.f64 im))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) im)))
(*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) im))) (log.f64 base))
#s(literal -1/2 binary64)
#s(approx (* 1/2 (log (+ (* im im) (* re re)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))))
(/.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 (neg.f64 im)) (log.f64 base)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(approx (* 1/2 (log (+ (* im im) (* re re)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))))
(pow.f64 im #s(literal -1/2 binary64))
(log.f64 (pow.f64 im #s(literal -1/2 binary64)))
(*.f64 #s(literal 2 binary64) (log.f64 (pow.f64 im #s(literal -1/2 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 (pow.f64 im #s(literal -1/2 binary64)))) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (log.f64 (pow.f64 im #s(literal -1/2 binary64)))) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (log.f64 (pow.f64 im #s(literal -1/2 binary64)))) (log.f64 base))))
(/.f64 #s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) re))))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) im))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
Outputs
re
im
base
(log.f64 base)
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal -1 binary64)
(*.f64 (pow.f64 re (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 re (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) re))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re))
(pow.f64 (neg.f64 (neg.f64 re)) #s(literal -1 binary64))
(pow.f64 re #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 re) #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 re)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 re)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 re))))
(/.f64 #s(literal -1 binary64) (neg.f64 re))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 re)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 re))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) re))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 re) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 re)))
(/.f64 #s(literal 1 binary64) (/.f64 re #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))
(/.f64 #s(literal 1 binary64) re)
(/.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (neg.f64 re)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 re #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 re))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) re))
(neg.f64 (/.f64 #s(literal -1 binary64) re))
(-.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 re))))
(-.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 #s(literal 0 binary64) re))
(exp.f64 (*.f64 (log.f64 re) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 re))))
(+.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 #s(literal 0 binary64) re))
(*.f64 #s(literal -1 binary64) (log.f64 re))
(neg.f64 (log.f64 (neg.f64 (neg.f64 re))))
(neg.f64 (log.f64 re))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 re)))
(-.f64 (log.f64 #s(literal 1 binary64)) (log.f64 (neg.f64 (neg.f64 re))))
(-.f64 (log.f64 #s(literal 1 binary64)) (log.f64 re))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) re)))
(+.f64 (log.f64 #s(literal 1 binary64)) (neg.f64 (log.f64 re)))
(+.f64 (neg.f64 (log.f64 re)) (log.f64 #s(literal 1 binary64)))
(log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)) #s(literal -1 binary64)))
(log.f64 (/.f64 #s(literal 1 binary64) re))
(*.f64 (neg.f64 (log.f64 re)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 re)))
(neg.f64 (*.f64 (log.f64 re) #s(literal -1 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 re))))
(neg.f64 (*.f64 (neg.f64 (log.f64 re)) #s(literal 1 binary64)))
(neg.f64 (neg.f64 (log.f64 re)))
(-.f64 (log.f64 #s(literal 1 binary64)) (neg.f64 (log.f64 re)))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))
(log.f64 re)
(*.f64 (neg.f64 (log.f64 re)) (log.f64 base))
(*.f64 (log.f64 base) (neg.f64 (log.f64 re)))
(neg.f64 (*.f64 (log.f64 re) (log.f64 base)))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) re) (neg.f64 (log.f64 base)))))
(log.f64 (pow.f64 base (neg.f64 (log.f64 re))))
(*.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 re)))
(*.f64 (log.f64 re) (log.f64 base))
(*.f64 (*.f64 (neg.f64 (log.f64 re)) (log.f64 base)) #s(literal -1 binary64))
(*.f64 (neg.f64 (log.f64 re)) (neg.f64 (log.f64 base)))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(*.f64 (log.f64 base) (log.f64 re))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (log.f64 re)) (log.f64 base))))
(neg.f64 (*.f64 (neg.f64 (log.f64 base)) (log.f64 re)))
(neg.f64 (*.f64 (*.f64 (neg.f64 (log.f64 re)) (log.f64 base)) #s(literal 1 binary64)))
(neg.f64 (*.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(-.f64 (log.f64 #s(literal 1 binary64)) (*.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(log.f64 (pow.f64 base (log.f64 re)))
(log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) base) (neg.f64 (log.f64 re))))
(log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)) (log.f64 base)))
(log.f64 (pow.f64 re (log.f64 base)))
(log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) re) (neg.f64 (log.f64 base))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (*.f64 (log.f64 re) (log.f64 base)))
(*.f64 #s(literal -1 binary64) im)
(*.f64 im #s(literal -1 binary64))
(neg.f64 (*.f64 #s(literal 1 binary64) im))
(neg.f64 (*.f64 im #s(literal 1 binary64)))
(neg.f64 im)
#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im))
(*.f64 (pow.f64 (fabs.f64 (log.f64 base)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 (log.f64 base)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 (log.f64 base)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 (log.f64 base)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 (log.f64 base)))) (neg.f64 (neg.f64 (fabs.f64 (log.f64 base)))))
(*.f64 (neg.f64 (neg.f64 (neg.f64 (log.f64 base)))) (neg.f64 (neg.f64 (neg.f64 (log.f64 base)))))
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eval37.0ms (1.2%)

Memory
1.5MiB live, 38.8MiB allocated; 4ms collecting garbage
Compiler

Compiled 12 782 to 1 955 computations (84.7% saved)

prune22.0ms (0.7%)

Memory
-2.2MiB live, 24.1MiB allocated; 1ms collecting garbage
Pruning

43 alts after pruning (38 fresh and 5 done)

PrunedKeptTotal
New67812690
Fresh62632
Picked415
Done044
Total68843731
Accuracy
99.4%
Counts
731 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
0.0%
(/.f64 (+.f64 (*.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
53.1%
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
53.3%
(/.f64 (*.f64 (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 base))
0.0%
(/.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) im))) (log.f64 base)) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))))
0.0%
(/.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
0.0%
(/.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base)) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
0.0%
(/.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base)) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))))
0.0%
(/.f64 #s(approx (* (log (+ (* im im) (* re re))) 1/2) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re)))) (log.f64 base))
10.8%
(/.f64 #s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (*.f64 (log.f64 re) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
10.8%
(/.f64 #s(approx (* 1/2 (log (+ (* im im) (* re re)))) (log.f64 re)) (log.f64 base))
0.0%
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base))))
53.2%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (*.f64 (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))) #s(literal 1/2 binary64))))
10.8%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) #s(approx (* 1/2 (log (+ (* im im) (* re re)))) (log.f64 re))))
53.0%
(-.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base)) #s(literal 1 binary64)) #s(literal 1 binary64))
10.8%
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (*.f64 (log.f64 re) (log.f64 base))))
0.0%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(approx (* 1/2 (log (+ (* im im) (* re re)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re)))))
10.8%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(approx (* 1/2 (log (+ (* im im) (* re re)))) (log.f64 re)))
53.3%
(*.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))))
53.2%
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))))) (log.f64 base))
53.2%
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))))
97.9%
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(approx (* 1/2 (log (+ (* im im) (* re re)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))) (log.f64 base))
53.1%
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
0.0%
(*.f64 (*.f64 (neg.f64 (log.f64 base)) (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re)))) (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
0.0%
(*.f64 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))))
0.0%
(*.f64 (log.f64 base) (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im))) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
26.3%
(*.f64 (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))))
5.4%
(*.f64 (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))) #s(approx (* 1/2 (log (+ (* im im) (* re re)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))))
10.8%
(*.f64 #s(approx (* (pow (log base) -2) (* 1/2 (log (+ (* im im) (* re re))))) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 re)))) (log.f64 base))
10.8%
(*.f64 #s(approx (* (pow (log base) -2) (* 1/2 (log (+ (* im im) (* re re))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1/2 binary64) re))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))) (log.f64 base))
10.8%
(*.f64 #s(approx (* (pow (log base) -2) (* 1/2 (log (+ (* im im) (* re re))))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))))) (log.f64 base))
10.7%
(*.f64 #s(approx (* (pow (log base) -2) (* 1/2 (log (+ (* im im) (* re re))))) (*.f64 #s(literal -1 binary64) (log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) re) (pow.f64 (log.f64 base) #s(literal -2 binary64)))))) (log.f64 base))
52.9%
(log.f64 (pow.f64 (+.f64 (*.f64 im im) (*.f64 re re)) (/.f64 #s(literal 1/2 binary64) (log.f64 base))))
0.0%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (neg.f64 im)) (log.f64 base)))
98.2%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
0.0%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 (neg.f64 im)))))
98.1%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im))))
0.0%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 (neg.f64 im))))
98.1%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im)))
97.3%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 #s(literal 1 binary64) (log.f64 base))))))
0.0%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) im) (/.f64 #s(literal 1 binary64) (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))) (log.f64 (pow.f64 (neg.f64 im) (/.f64 #s(literal 1 binary64) (log.f64 base)))))
97.4%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (log.f64 (pow.f64 im (/.f64 #s(literal 1 binary64) (log.f64 base)))))
98.2%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(approx (* -1 (/ (* 2 (log (pow im -1/2))) (log base))) (*.f64 #s(literal -2 binary64) (/.f64 (log.f64 (pow.f64 im #s(literal -1/2 binary64))) (log.f64 base)))))
Compiler

Compiled 521 to 139 computations (73.3% saved)

regimes137.0ms (4.5%)

Memory
2.2MiB live, 74.0MiB allocated; 4ms collecting garbage
Counts
32 → 1
81 → 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)))
(/.f64 #s(approx (* 1/2 (log (+ (* im im) (* re re)))) (log.f64 re)) (log.f64 base))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (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 im) (/.f64 #s(literal 1 binary64) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(approx (* 1/2 (log (+ (* im im) (* re re)))) (log.f64 re)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (log.f64 (fabs.f64 im)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 (neg.f64 im))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 im)))) (/.f64 #s(literal 1 binary64) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) #s(approx (* 1/2 (log (+ (* im im) (* re re)))) (log.f64 re))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 (fabs.f64 im)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 (neg.f64 im)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base))))
(/.f64 #s(approx (* (log (+ (* im im) (* re re))) 1/2) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re)))) (log.f64 base))
(/.f64 #s(approx (* (log (+ (* im im) (* re re))) 1/2) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))) (log.f64 base))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (neg.f64 (neg.f64 (log.f64 (neg.f64 im)))))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base))
(/.f64 (*.f64 (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 base))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(approx (* 1/2 (log (+ (* im im) (* re re)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re)))))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(approx (* 1/2 (log (+ (* im im) (* re re)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))))
(-.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (*.f64 (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (log.f64 (pow.f64 im (/.f64 #s(literal 1 binary64) (log.f64 base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (log.f64 (pow.f64 (neg.f64 im) (/.f64 #s(literal 1 binary64) (log.f64 base)))))
Outputs
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
Call 2
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)))
(/.f64 #s(approx (* 1/2 (log (+ (* im im) (* re re)))) (log.f64 re)) (log.f64 base))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (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 im) (/.f64 #s(literal 1 binary64) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(approx (* 1/2 (log (+ (* im im) (* re re)))) (log.f64 re)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (log.f64 (fabs.f64 im)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 (neg.f64 im))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 im)))) (/.f64 #s(literal 1 binary64) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) #s(approx (* 1/2 (log (+ (* im im) (* re re)))) (log.f64 re))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 (fabs.f64 im)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 (neg.f64 im)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base))))
(/.f64 #s(approx (* (log (+ (* im im) (* re re))) 1/2) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re)))) (log.f64 base))
(/.f64 #s(approx (* (log (+ (* im im) (* re re))) 1/2) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))) (log.f64 base))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (neg.f64 (neg.f64 (log.f64 (neg.f64 im)))))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base))
(/.f64 (*.f64 (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 base))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(approx (* 1/2 (log (+ (* im im) (* re re)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re)))))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(approx (* 1/2 (log (+ (* im im) (* re re)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))))
(-.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (*.f64 (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (log.f64 (pow.f64 im (/.f64 #s(literal 1 binary64) (log.f64 base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (log.f64 (pow.f64 (neg.f64 im) (/.f64 #s(literal 1 binary64) (log.f64 base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(approx (* -1 (/ (* 2 (log (pow im -1/2))) (log base))) (*.f64 #s(literal -2 binary64) (/.f64 (log.f64 (pow.f64 im #s(literal -1/2 binary64))) (log.f64 base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (log.f64 (pow.f64 im #s(literal -1/2 binary64)))) (log.f64 base))))
(log.f64 (pow.f64 (+.f64 (*.f64 im im) (*.f64 re re)) (/.f64 #s(literal 1/2 binary64) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) im) (/.f64 #s(literal 1 binary64) (log.f64 base))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 #s(literal 1 binary64) (log.f64 base))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 #s(literal 1 binary64) (log.f64 base))))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (*.f64 (log.f64 re) (log.f64 base))))
(*.f64 (log.f64 base) (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im))) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base)))
(*.f64 #s(approx (* (pow (log base) -2) (* 1/2 (log (+ (* im im) (* re re))))) (/.f64 (log.f64 re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (log.f64 base))
(/.f64 #s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (*.f64 (log.f64 re) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) im))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))) #s(approx (* 1/2 (log (+ (* im im) (* re re)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))))
(*.f64 (neg.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base))) (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (*.f64 (neg.f64 (log.f64 base)) (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re)))) (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(approx (* 1/2 (log (+ (* im im) (* re re)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))) (log.f64 base))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(approx (* 1/2 (log (+ (* im im) (* re re)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))))) (log.f64 base))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(approx (* 1/2 (log (+ (* im im) (* re re)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))) (log.f64 base))
(*.f64 #s(approx (* (pow (log base) -2) (* 1/2 (log (+ (* im im) (* re re))))) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 re)))) (log.f64 base))
(*.f64 (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))))) (log.f64 base))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))))))
(/.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base)) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base))))
(*.f64 #s(approx (* (pow (log base) -2) (* 1/2 (log (+ (* im im) (* re re))))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))) (log.f64 base))
(*.f64 #s(approx (* (pow (log base) -2) (* 1/2 (log (+ (* im im) (* re re))))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))) (log.f64 base))
(/.f64 #s(approx (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) re))))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (*.f64 (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))) #s(literal 1/2 binary64)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 #s(approx (* (pow (log base) -2) (* 1/2 (log (+ (* im im) (* re re))))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))))) (log.f64 base))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (*.f64 (pow.f64 im (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 im (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))) (log.f64 base))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (log.f64 base) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))))))
(*.f64 #s(approx (* (pow (log base) -2) (* 1/2 (log (+ (* im im) (* re re))))) (*.f64 #s(literal -1 binary64) (log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) re) (pow.f64 (log.f64 base) #s(literal -2 binary64)))))) (log.f64 base))
(/.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base)) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))))
(/.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) im))) (log.f64 base)) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))))
(*.f64 #s(approx (* (pow (log base) -2) (* 1/2 (log (+ (* im im) (* re re))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1/2 binary64) re))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))) (log.f64 base))
(/.f64 (+.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) 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 #s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) re))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (+.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) re))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (+.f64 (*.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) 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 #s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (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 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (+.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) re))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (/.f64 #s(literal 1 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 (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))) (*.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(approx (* -1 (/ (* 2 (log (pow im -1/2))) (log base))) (*.f64 #s(literal -2 binary64) (/.f64 (log.f64 (pow.f64 im #s(literal -1/2 binary64))) (log.f64 base)))))
Calls

10 calls:

19.0ms
base
18.0ms
im
18.0ms
(log.f64 base)
17.0ms
re
15.0ms
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
Results
AccuracySegmentsBranch
98.2%1(log.f64 base)
98.2%1(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
98.2%1re
98.2%1im
98.2%1base
98.2%1(log.f64 base)
98.2%1(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
98.2%1re
98.2%1im
98.2%1base
Compiler

Compiled 1 155 to 275 computations (76.2% saved)

derivations38.0ms (1.2%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Stop Event
fuel
Compiler

Compiled 14 to 11 computations (21.4% saved)

preprocess21.0ms (0.7%)

Memory
-0.5MiB live, 16.9MiB allocated; 1ms collecting garbage
Symmetry

(abs re)

(abs im)

(sort re im)

Compiler

Compiled 134 to 117 computations (12.7% saved)

end0.0ms (0.0%)

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

Profiling

Loading profile data...