math.log/2 on complex, imaginary part

Time bar (total: 5.2s)

start0.0ms (0%)

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

analyze199.0ms (3.8%)

Memory
28.0MiB live, 313.7MiB allocated; 35ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%49.9%0.1%0%49.9%0%4
0%0%49.9%0.1%0%49.9%0%5
0%0%49.9%0.1%0%49.9%0%6
9.4%4.7%45.2%0.1%0%49.9%0%7
17.2%8.6%41.3%0.1%0%49.9%0%8
27.3%13.7%36.3%0.1%0%49.9%0%9
41%20.5%29.4%0.1%0%49.9%0%10
48.6%24.3%25.6%0.1%0%49.9%0%11
57.1%28.5%21.4%0.1%0%49.9%0%12
Compiler

Compiled 30 to 17 computations (43.3% saved)

sample1.5s (28.4%)

Memory
69.7MiB live, 1 942.8MiB allocated; 588ms collecting garbage
Samples
1.2s8 255×0valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 749.0ms
ival-log: 235.0ms (31.4% of total)
ival-hypot: 169.0ms (22.6% of total)
ival-mult!: 152.0ms (20.3% of total)
ival-atan2: 86.0ms (11.5% of total)
ival-div!: 60.0ms (8% of total)
ival-add!: 24.0ms (3.2% of total)
ival-sub!: 23.0ms (3.1% of total)
adjust: 2.0ms (0.3% of total)
Bogosity

preprocess60.0ms (1.2%)

Memory
-35.8MiB live, 51.8MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
079141
1349121
21591121
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.0%
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
Compiler

Compiled 44 to 36 computations (18.2% saved)

series142.0ms (2.8%)

Memory
10.0MiB live, 290.9MiB allocated; 50ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02911453
Stop Event
iter-limit
Counts
18 → 64
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64)))
(*.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(log.f64 base)
base
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
(+.f64 (*.f64 re re) (*.f64 im im))
(*.f64 re re)
(*.f64 im im)
#s(literal 0 binary64)
(+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
Outputs
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base)))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re)))
#s(approx (atan2 im re) (atan2.f64 im re))
#s(approx re re)
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(literal 0 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)) (fma.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)) (fma.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 (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)) (fma.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)) (fma.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 (+ (* 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 (* re re) (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)))) (fma.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)))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)) (fma.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)))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (fma.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 (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) (fma.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) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.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 (+ (* 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 (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)))) (fma.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)))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re)) (fma.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)))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (fma.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 (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) (fma.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) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.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 im 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)) (fma.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)) (fma.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 (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)) (fma.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)) (fma.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 (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)))) (fma.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)))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)) (fma.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)))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (fma.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 (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) (fma.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) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.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 (+ (* re re) (* im im)) (*.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 (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)))) (fma.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)))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)) (fma.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)))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (fma.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 (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) (fma.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) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.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 base) (log.f64 base))
#s(approx base base)
#s(approx (+ (* (log base) (log base)) (* 0 0)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base)))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re))))
#s(approx (log base) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))
#s(approx (+ (* (log base) (log base)) (* 0 0)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64)))
Calls

9 calls:

TimeVariablePointExpression
34.0ms
re
@0
((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (atan2 im re) im re (log base) base (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0))
20.0ms
base
@0
((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (atan2 im re) im re (log base) base (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0))
16.0ms
base
@inf
((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (atan2 im re) im re (log base) base (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0))
12.0ms
re
@inf
((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (atan2 im re) im re (log base) base (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0))
11.0ms
im
@0
((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (atan2 im re) im re (log base) base (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0))

rewrite218.0ms (4.2%)

Memory
-14.3MiB live, 238.2MiB allocated; 45ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018113
03374
114872
252867
3388067
0817955
Stop Event
iter-limit
node-limit
iter-limit
Counts
18 → 1 141
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64)))
(*.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(log.f64 base)
base
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
(+.f64 (*.f64 re re) (*.f64 im im))
(*.f64 re re)
(*.f64 im im)
#s(literal 0 binary64)
(+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
Outputs
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))) (atan2.f64 im re)) (log.f64 base))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (neg.f64 (fabs.f64 (log.f64 base)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 (log.f64 base)))))
(*.f64 (/.f64 (atan2.f64 im re) (neg.f64 (fabs.f64 (log.f64 base)))) (/.f64 (log.f64 base) (neg.f64 (fabs.f64 (log.f64 base)))))
(*.f64 (/.f64 (log.f64 base) (neg.f64 (fabs.f64 (log.f64 base)))) (/.f64 (atan2.f64 im re) (neg.f64 (fabs.f64 (log.f64 base)))))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re))
(*.f64 (*.f64 (atan2.f64 im re) (copysign.f64 #s(literal 1 binary64) (log.f64 base))) (/.f64 #s(literal 1 binary64) (fabs.f64 (log.f64 base))))
(*.f64 (*.f64 (atan2.f64 im re) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(*.f64 (-.f64 (atan2.f64 im re) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))) (log.f64 base))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (copysign.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 base))))
(*.f64 (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 base))) (copysign.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) #s(literal -1 binary64))
(*.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64))
(*.f64 (*.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) (/.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (log.f64 base))))
(*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))))
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))))
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (*.f64 (copysign.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re)) (fabs.f64 (log.f64 base)))
(/.f64 (*.f64 (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 base))) (log.f64 base)) (fabs.f64 (log.f64 base)))
(/.f64 (*.f64 #s(literal -1 binary64) (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (log.f64 base)) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
(/.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) (*.f64 (neg.f64 (log.f64 base)) (log.f64 base)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (log.f64 base))) (*.f64 (log.f64 base) (atan2.f64 im re))) (fabs.f64 (log.f64 base)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (*.f64 (log.f64 base) (atan2.f64 im re))) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base))
(/.f64 (*.f64 (*.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) #s(literal 1 binary64)) (*.f64 (neg.f64 (log.f64 base)) (log.f64 base)))
(/.f64 (/.f64 (*.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) (fabs.f64 (log.f64 base))) (neg.f64 (fabs.f64 (log.f64 base))))
(/.f64 (fma.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (fabs.f64 (log.f64 base)) #s(literal 0 binary64)) (fabs.f64 (log.f64 base)))
(/.f64 (fma.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (neg.f64 (log.f64 base)) #s(literal 0 binary64)) (neg.f64 (log.f64 base)))
(/.f64 (fma.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base) #s(literal 0 binary64)) (log.f64 base))
(/.f64 (fma.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (neg.f64 (log.f64 base)) (log.f64 base)) #s(literal 0 binary64)) (*.f64 (neg.f64 (log.f64 base)) (log.f64 base)))
(/.f64 (fma.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (neg.f64 (log.f64 base)) (log.f64 base)) #s(literal 0 binary64)) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (neg.f64 (log.f64 base)) (log.f64 base))))
(/.f64 (fma.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64) #s(literal 0 binary64)) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) (fabs.f64 (log.f64 base)) #s(literal 0 binary64)) (*.f64 (*.f64 (neg.f64 (log.f64 base)) (log.f64 base)) (fabs.f64 (log.f64 base))))
(/.f64 (fma.f64 (*.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) (neg.f64 (log.f64 base)) #s(literal 0 binary64)) (*.f64 (*.f64 (neg.f64 (log.f64 base)) (log.f64 base)) (neg.f64 (log.f64 base))))
(/.f64 (fma.f64 (*.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) (log.f64 base) #s(literal 0 binary64)) (*.f64 (*.f64 (neg.f64 (log.f64 base)) (log.f64 base)) (log.f64 base)))
(/.f64 (fma.f64 (*.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) (*.f64 (neg.f64 (log.f64 base)) (log.f64 base)) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (fma.f64 (*.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) #s(literal 2 binary64) #s(literal 0 binary64)) (*.f64 (*.f64 (neg.f64 (log.f64 base)) (log.f64 base)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)) (*.f64 (*.f64 (neg.f64 (log.f64 base)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (neg.f64 (log.f64 base)) (log.f64 base))) #s(literal 0 binary64)) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (neg.f64 (log.f64 base)) (log.f64 base))))
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 0 binary64)) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (fabs.f64 (log.f64 base))) #s(literal 0 binary64)) (fabs.f64 (log.f64 base)))
(/.f64 (-.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (neg.f64 (log.f64 base))) #s(literal 0 binary64)) (neg.f64 (log.f64 base)))
(/.f64 (-.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) #s(literal 0 binary64)) (log.f64 base))
(/.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base))
(/.f64 (-.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (neg.f64 (log.f64 base)) (log.f64 base))) #s(literal 0 binary64)) (*.f64 (neg.f64 (log.f64 base)) (log.f64 base)))
(/.f64 (-.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (atan2.f64 im re) (copysign.f64 #s(literal 1 binary64) (log.f64 base))) (fabs.f64 (log.f64 base)) (*.f64 #s(literal 0 binary64) (fabs.f64 (log.f64 base)))) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (fma.f64 (*.f64 (atan2.f64 im re) (copysign.f64 #s(literal 1 binary64) (log.f64 base))) (neg.f64 (log.f64 base)) (*.f64 #s(literal 0 binary64) (fabs.f64 (log.f64 base)))) (*.f64 (fabs.f64 (log.f64 base)) (neg.f64 (log.f64 base))))
(/.f64 (fma.f64 (*.f64 (atan2.f64 im re) (copysign.f64 #s(literal 1 binary64) (log.f64 base))) (log.f64 base) (*.f64 #s(literal 0 binary64) (fabs.f64 (log.f64 base)))) (*.f64 (fabs.f64 (log.f64 base)) (log.f64 base)))
(/.f64 (fma.f64 (*.f64 (atan2.f64 im re) (copysign.f64 #s(literal 1 binary64) (log.f64 base))) (*.f64 (neg.f64 (log.f64 base)) (log.f64 base)) (*.f64 #s(literal 0 binary64) (fabs.f64 (log.f64 base)))) (*.f64 (fabs.f64 (log.f64 base)) (*.f64 (neg.f64 (log.f64 base)) (log.f64 base))))
(/.f64 (fma.f64 (*.f64 (atan2.f64 im re) (copysign.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) (fabs.f64 (log.f64 base)))) (*.f64 (fabs.f64 (log.f64 base)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 (atan2.f64 im re) (copysign.f64 #s(literal 1 binary64) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) (fabs.f64 (log.f64 base)))) (pow.f64 (fabs.f64 (log.f64 base)) #s(literal 3 binary64)))
(/.f64 (fma.f64 (*.f64 (atan2.f64 im re) #s(literal -1 binary64)) (fabs.f64 (log.f64 base)) #s(literal 0 binary64)) (*.f64 (neg.f64 (log.f64 base)) (fabs.f64 (log.f64 base))))
(/.f64 (fma.f64 (*.f64 (atan2.f64 im re) #s(literal -1 binary64)) (neg.f64 (log.f64 base)) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (fma.f64 (*.f64 (atan2.f64 im re) #s(literal -1 binary64)) (log.f64 base) #s(literal 0 binary64)) (*.f64 (neg.f64 (log.f64 base)) (log.f64 base)))
(/.f64 (fma.f64 (*.f64 (atan2.f64 im re) #s(literal -1 binary64)) (*.f64 (neg.f64 (log.f64 base)) (log.f64 base)) #s(literal 0 binary64)) (*.f64 (neg.f64 (log.f64 base)) (*.f64 (neg.f64 (log.f64 base)) (log.f64 base))))
(/.f64 (fma.f64 (*.f64 (atan2.f64 im re) #s(literal -1 binary64)) #s(literal 2 binary64) #s(literal 0 binary64)) (*.f64 (neg.f64 (log.f64 base)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 (atan2.f64 im re) #s(literal -1 binary64)) (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)) (pow.f64 (neg.f64 (log.f64 base)) #s(literal 3 binary64)))
(/.f64 (fma.f64 (-.f64 (atan2.f64 im re) #s(literal 0 binary64)) (fabs.f64 (log.f64 base)) #s(literal 0 binary64)) (*.f64 (log.f64 base) (fabs.f64 (log.f64 base))))
(/.f64 (fma.f64 (-.f64 (atan2.f64 im re) #s(literal 0 binary64)) (neg.f64 (log.f64 base)) #s(literal 0 binary64)) (*.f64 (neg.f64 (log.f64 base)) (log.f64 base)))
(/.f64 (fma.f64 (-.f64 (atan2.f64 im re) #s(literal 0 binary64)) (log.f64 base) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (fma.f64 (-.f64 (atan2.f64 im re) #s(literal 0 binary64)) (*.f64 (neg.f64 (log.f64 base)) (log.f64 base)) #s(literal 0 binary64)) (*.f64 (log.f64 base) (*.f64 (neg.f64 (log.f64 base)) (log.f64 base))))
(/.f64 (fma.f64 (-.f64 (atan2.f64 im re) #s(literal 0 binary64)) #s(literal 2 binary64) #s(literal 0 binary64)) (*.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (fma.f64 (-.f64 (atan2.f64 im re) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(/.f64 (fma.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (fabs.f64 (log.f64 base)) #s(literal 0 binary64)) (pow.f64 (fabs.f64 (log.f64 base)) #s(literal 5 binary64)))
(/.f64 (fma.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (neg.f64 (log.f64 base)) #s(literal 0 binary64)) (pow.f64 (neg.f64 (log.f64 base)) #s(literal 5 binary64)))
(/.f64 (fma.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (log.f64 base) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 5 binary64)))
(/.f64 (fma.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (*.f64 (neg.f64 (log.f64 base)) (log.f64 base)) #s(literal 0 binary64)) (pow.f64 (*.f64 (neg.f64 (log.f64 base)) (log.f64 base)) #s(literal 3 binary64)))
(/.f64 (fma.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal 2 binary64) #s(literal 0 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (fma.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64)))))
(/.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (neg.f64 (fabs.f64 (log.f64 base)))) (neg.f64 (fabs.f64 (log.f64 base))))
(/.f64 (fma.f64 (*.f64 (atan2.f64 im re) (copysign.f64 #s(literal 1 binary64) (log.f64 base))) (fabs.f64 (log.f64 base)) (*.f64 (fabs.f64 (log.f64 base)) #s(literal 0 binary64))) (*.f64 (log.f64 base) (log.f64 base)))
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(fma.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (log.f64 base)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 1 binary64)) (neg.f64 (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 1 binary64)) (log.f64 base) #s(literal 0 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) #s(literal 0 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base)))) (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (log.f64 base) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (fabs.f64 (log.f64 base))) (neg.f64 (fabs.f64 (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base)))) (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (fabs.f64 (log.f64 base)) (neg.f64 (neg.f64 (fabs.f64 (log.f64 base)))) #s(literal 0 binary64))
(fma.f64 (fabs.f64 (log.f64 base)) (fabs.f64 (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (*.f64 (log.f64 base) (log.f64 base)) (pow.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (log.f64 base) #s(literal 0 binary64))
(sqrt.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(-.f64 (fma.f64 (log.f64 base) (log.f64 base) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (log.f64 #s(literal 1 binary64)) (*.f64 (neg.f64 (log.f64 base)) (log.f64 base)))
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (log.f64 base)) (log.f64 base))))
(-.f64 (*.f64 (log.f64 base) (log.f64 base)) (log.f64 #s(literal 1 binary64)))
(-.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (log.f64 base)) (log.f64 base)))
(fabs.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (log.f64 base)) (log.f64 base) #s(literal 1 binary64))))
(fabs.f64 (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (log.f64 base)) (log.f64 base))) #s(literal 1 binary64)))
(fabs.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))) #s(literal 1 binary64)))
(fabs.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (log.f64 base) (log.f64 base) #s(literal 1 binary64))))
(fabs.f64 (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))) #s(literal 1 binary64)))
(fabs.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (log.f64 base)) (log.f64 base))) #s(literal 1 binary64)))
(fabs.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (log.f64 base)) (log.f64 base))))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 (log.f64 base))) (neg.f64 (log.f64 base))))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 (log.f64 base))) (log.f64 base)))
(fabs.f64 (*.f64 (neg.f64 (log.f64 base)) (neg.f64 (fabs.f64 (log.f64 base)))))
(fabs.f64 (*.f64 (log.f64 base) (neg.f64 (fabs.f64 (log.f64 base)))))
(fabs.f64 (*.f64 (neg.f64 (log.f64 base)) (fabs.f64 (log.f64 base))))
(fabs.f64 (*.f64 (log.f64 base) (fabs.f64 (log.f64 base))))
(fabs.f64 (*.f64 (fabs.f64 (log.f64 base)) (neg.f64 (log.f64 base))))
(fabs.f64 (*.f64 (fabs.f64 (log.f64 base)) (log.f64 base)))
(fabs.f64 (*.f64 (neg.f64 (log.f64 base)) (log.f64 base)))
(fabs.f64 (*.f64 (log.f64 base) (log.f64 base)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (fabs.f64 (log.f64 base)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 base) (log.f64 base))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 (log.f64 base))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))
(+.f64 (-.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (log.f64 #s(literal 1 binary64)) (*.f64 (log.f64 base) (log.f64 base)))
(+.f64 (*.f64 (log.f64 base) (log.f64 base)) (log.f64 #s(literal 1 binary64)))
(+.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base)))
(log.f64 (pow.f64 (*.f64 (pow.f64 base (log.f64 base)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(log.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 base (log.f64 base))) #s(literal 1 binary64)))
(log.f64 (pow.f64 (/.f64 (pow.f64 base (log.f64 base)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) base)) (log.f64 base)))
(log.f64 (*.f64 (*.f64 (pow.f64 base (log.f64 base)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(log.f64 (*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 base (log.f64 base))) #s(literal 1 binary64)))
(log.f64 (*.f64 (/.f64 (pow.f64 base (log.f64 base)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(log.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 base (log.f64 base)) #s(literal 1 binary64))))
(log.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 base (log.f64 base)))))
(log.f64 (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 base (log.f64 base)) #s(literal 1 binary64))))
(log.f64 (/.f64 (*.f64 (pow.f64 base (log.f64 base)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(log.f64 (/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 base (log.f64 base))) #s(literal 1 binary64)))
(log.f64 (/.f64 (/.f64 (pow.f64 base (log.f64 base)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 base (neg.f64 (log.f64 base))) #s(literal 1 binary64))))
(log.f64 (*.f64 (pow.f64 base (log.f64 base)) #s(literal 1 binary64)))
(log.f64 (*.f64 #s(literal 1 binary64) (pow.f64 base (log.f64 base))))
(log.f64 (/.f64 (pow.f64 base (log.f64 base)) #s(literal 1 binary64)))
(log.f64 (pow.f64 base (log.f64 base)))
#s(literal 0 binary64)

eval105.0ms (2%)

Memory
36.7MiB live, 177.2MiB allocated; 21ms collecting garbage
Compiler

Compiled 9 112 to 3 615 computations (60.3% saved)

prune20.0ms (0.4%)

Memory
11.9MiB live, 56.9MiB allocated; 4ms collecting garbage
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New86012872
Fresh000
Picked101
Done000
Total86112873
Accuracy
100.0%
Counts
873 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(/.f64 (fma.f64 (-.f64 (atan2.f64 im re) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
99.3%
(/.f64 (fma.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
99.5%
(/.f64 (atan2.f64 im re) (log.f64 base))
99.2%
(/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
99.3%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base))
99.4%
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base)))
98.9%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
99.4%
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
99.2%
(*.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))) (log.f64 base))
99.3%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (atan2.f64 im re)))
99.2%
(*.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
99.2%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))) (atan2.f64 im re)) (log.f64 base))
Compiler

Compiled 258 to 226 computations (12.4% saved)

series93.0ms (1.8%)

Memory
-12.8MiB live, 133.0MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046200
Stop Event
iter-limit
Counts
18 → 18
Calls
Call 1
Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(log.f64 base)
base
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
#s(literal 1 binary64)
(*.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))) (log.f64 base))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))) (atan2.f64 im re)) (log.f64 base))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))) (atan2.f64 im re))
(/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (log.f64 base) (atan2.f64 im re))
Outputs
#s(approx (/ (atan2 im re) (log base)) (/.f64 (atan2.f64 im re) (log.f64 base)))
#s(approx (atan2 im re) (atan2.f64 im re))
#s(approx re re)
#s(approx (/ (atan2 im re) (* (log base) (log base))) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
#s(approx (* (log base) (atan2 im re)) (*.f64 (log.f64 base) (atan2.f64 im re)))
#s(approx im im)
#s(approx (log base) (log.f64 base))
#s(approx base base)
#s(approx (/ 1 (log base)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
#s(approx (* (log base) (log base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (/ 1 (* (log base) (log base))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
#s(approx (/ (atan2 im re) (log base)) (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base)))))
#s(approx (log base) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))
#s(approx (/ 1 (log base)) (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))
#s(approx (/ (atan2 im re) (* (log base) (log base))) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64))))
#s(approx (* (log base) (log base)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64)))
#s(approx (/ 1 (* (log base) (log base))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64))))
#s(approx (* (log base) (atan2 im re)) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re))))
Calls

9 calls:

TimeVariablePointExpression
24.0ms
base
@0
((/ (atan2 im re) (log base)) (atan2 im re) im re (log base) base (* (atan2 im re) (/ 1 (log base))) (/ 1 (log base)) 1 (* (/ (atan2 im re) (* (log base) (log base))) (log base)) (/ (atan2 im re) (* (log base) (log base))) (* (log base) (log base)) (* (* (/ 1 (* (log base) (log base))) (atan2 im re)) (log base)) (* (/ 1 (* (log base) (log base))) (atan2 im re)) (/ 1 (* (log base) (log base))) (/ (* (/ 1 (log base)) (* (log base) (atan2 im re))) (log base)) (* (/ 1 (log base)) (* (log base) (atan2 im re))) (* (log base) (atan2 im re)))
9.0ms
im
@0
((/ (atan2 im re) (log base)) (atan2 im re) im re (log base) base (* (atan2 im re) (/ 1 (log base))) (/ 1 (log base)) 1 (* (/ (atan2 im re) (* (log base) (log base))) (log base)) (/ (atan2 im re) (* (log base) (log base))) (* (log base) (log base)) (* (* (/ 1 (* (log base) (log base))) (atan2 im re)) (log base)) (* (/ 1 (* (log base) (log base))) (atan2 im re)) (/ 1 (* (log base) (log base))) (/ (* (/ 1 (log base)) (* (log base) (atan2 im re))) (log base)) (* (/ 1 (log base)) (* (log base) (atan2 im re))) (* (log base) (atan2 im re)))
9.0ms
base
@-inf
((/ (atan2 im re) (log base)) (atan2 im re) im re (log base) base (* (atan2 im re) (/ 1 (log base))) (/ 1 (log base)) 1 (* (/ (atan2 im re) (* (log base) (log base))) (log base)) (/ (atan2 im re) (* (log base) (log base))) (* (log base) (log base)) (* (* (/ 1 (* (log base) (log base))) (atan2 im re)) (log base)) (* (/ 1 (* (log base) (log base))) (atan2 im re)) (/ 1 (* (log base) (log base))) (/ (* (/ 1 (log base)) (* (log base) (atan2 im re))) (log base)) (* (/ 1 (log base)) (* (log base) (atan2 im re))) (* (log base) (atan2 im re)))
9.0ms
re
@0
((/ (atan2 im re) (log base)) (atan2 im re) im re (log base) base (* (atan2 im re) (/ 1 (log base))) (/ 1 (log base)) 1 (* (/ (atan2 im re) (* (log base) (log base))) (log base)) (/ (atan2 im re) (* (log base) (log base))) (* (log base) (log base)) (* (* (/ 1 (* (log base) (log base))) (atan2 im re)) (log base)) (* (/ 1 (* (log base) (log base))) (atan2 im re)) (/ 1 (* (log base) (log base))) (/ (* (/ 1 (log base)) (* (log base) (atan2 im re))) (log base)) (* (/ 1 (log base)) (* (log base) (atan2 im re))) (* (log base) (atan2 im re)))
8.0ms
base
@inf
((/ (atan2 im re) (log base)) (atan2 im re) im re (log base) base (* (atan2 im re) (/ 1 (log base))) (/ 1 (log base)) 1 (* (/ (atan2 im re) (* (log base) (log base))) (log base)) (/ (atan2 im re) (* (log base) (log base))) (* (log base) (log base)) (* (* (/ 1 (* (log base) (log base))) (atan2 im re)) (log base)) (* (/ 1 (* (log base) (log base))) (atan2 im re)) (/ 1 (* (log base) (log base))) (/ (* (/ 1 (log base)) (* (log base) (atan2 im re))) (log base)) (* (/ 1 (log base)) (* (log base) (atan2 im re))) (* (log base) (atan2 im re)))

rewrite259.0ms (5%)

Memory
-22.0MiB live, 309.2MiB allocated; 39ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018116
03278
19376
233676
3200376
0830376
Stop Event
iter-limit
node-limit
iter-limit
Counts
18 → 2 765
Calls
Call 1
Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(log.f64 base)
base
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
#s(literal 1 binary64)
(*.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))) (log.f64 base))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))) (atan2.f64 im re)) (log.f64 base))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))) (atan2.f64 im re))
(/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (log.f64 base) (atan2.f64 im re))
Outputs
(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (log.f64 base) (*.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (*.f64 (neg.f64 (log.f64 base)) (log.f64 base)))))
(*.f64 (*.f64 (log.f64 base) (*.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))))
(*.f64 (*.f64 (neg.f64 (log.f64 base)) (neg.f64 (atan2.f64 im re))) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))))
(*.f64 (*.f64 (neg.f64 (log.f64 base)) (*.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (log.f64 base)) (*.f64 (neg.f64 (log.f64 base)) (log.f64 base)))))
(*.f64 (*.f64 (neg.f64 (log.f64 base)) (*.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (log.f64 base)) #s(literal 3 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (log.f64 base)) (log.f64 base)))))
(*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (atan2.f64 im re))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (log.f64 base)))))
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (log.f64 base) (log.f64 base)))))
(*.f64 (*.f64 #s(literal 2 binary64) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (log.f64 base))))
(*.f64 (*.f64 (*.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) (log.f64 base)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (log.f64 base)) (log.f64 base)) (log.f64 base))))
(*.f64 (*.f64 (*.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) (log.f64 base)) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (log.f64 base)) #s(literal 3 binary64))))
(*.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(*.f64 (*.f64 (*.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))))
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(log.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (log.f64 base)))
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eval340.0ms (6.6%)

Memory
50.4MiB live, 716.3MiB allocated; 157ms collecting garbage
Compiler

Compiled 31 048 to 6 579 computations (78.8% saved)

prune72.0ms (1.4%)

Memory
11.6MiB live, 169.5MiB allocated; 46ms collecting garbage
Pruning

19 alts after pruning (15 fresh and 4 done)

PrunedKeptTotal
New2 746102 756
Fresh257
Picked145
Done000
Total2 749192 768
Accuracy
100.0%
Counts
2 768 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(/.f64 (fma.f64 (-.f64 (atan2.f64 im re) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
48.4%
(/.f64 (atan2.f64 im re) (*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base))))
99.5%
(/.f64 (atan2.f64 im re) (log.f64 base))
99.3%
(/.f64 (*.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base))) (log.f64 base))
98.7%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64))))) (log.f64 base))
99.3%
(/.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
99.4%
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base)))
98.9%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
99.2%
(*.f64 (atan2.f64 im re) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 base))))
48.4%
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))))
99.4%
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
52.5%
(*.f64 (atan2.f64 im re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base)))))
99.2%
(*.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))) (log.f64 base))
98.5%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))))) (log.f64 base))
99.3%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (atan2.f64 im re)))
99.2%
(*.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
99.2%
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base)) (atan2.f64 im re)) (log.f64 base))
99.2%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))) (atan2.f64 im re)) (log.f64 base))
99.0%
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base))) (atan2.f64 im re)) (log.f64 base))
Compiler

Compiled 410 to 346 computations (15.6% saved)

series102.0ms (2%)

Memory
13.5MiB live, 250.4MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
082466
Stop Event
iter-limit
Counts
25 → 32
Calls
Call 1
Inputs
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(log.f64 base)
base
(atan2.f64 im re)
im
re
(*.f64 (log.f64 base) (log.f64 base))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
#s(literal 1 binary64)
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base))))
(*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))
(sqrt.f64 (log.f64 base))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base))) (atan2.f64 im re)) (log.f64 base))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base))) (atan2.f64 im re))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64))))) (log.f64 base))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)))
#s(literal 2 binary64)
(*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64))
Outputs
#s(approx (/ (* (log base) (atan2 im re)) (* (log base) (log base))) (/.f64 (atan2.f64 im re) (log.f64 base)))
#s(approx (* (log base) (atan2 im re)) (*.f64 (log.f64 base) (atan2.f64 im re)))
#s(approx (atan2 im re) (atan2.f64 im re))
#s(approx re re)
#s(approx (/ (log base) (atan2 im re)) (/.f64 (log.f64 base) (atan2.f64 im re)))
#s(approx (* (atan2 im re) (/ 1 (* (sqrt (log base)) (sqrt (log base))))) (/.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
#s(approx (* (* (/ 1 (log base)) (/ 1 (log base))) (atan2 im re)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
#s(approx (/ 2 (* (* (log base) (atan2 im re)) 2)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (atan2.f64 im re))))
#s(approx (* (* (log base) (atan2 im re)) 2) (*.f64 #s(literal 2 binary64) (*.f64 (log.f64 base) (atan2.f64 im re))))
#s(approx im im)
#s(approx (log base) (log.f64 base))
#s(approx base base)
#s(approx (* (log base) (log base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (/ 1 (* (sqrt (log base)) (sqrt (log base)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
#s(approx (* (sqrt (log base)) (sqrt (log base))) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))
#s(approx (sqrt (log base)) (sqrt.f64 (log.f64 base)))
#s(approx (* (/ 1 (log base)) (/ 1 (log base))) (/.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 (/ (* (log base) (atan2 im re)) (* (log base) (log base))) (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base)))))
#s(approx (* (log base) (atan2 im re)) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re))))
#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 base) (atan2 im re)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re))))
#s(approx (* (atan2 im re) (/ 1 (* (sqrt (log base)) (sqrt (log base))))) (/.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))) #s(literal 2 binary64))))
#s(approx (/ 1 (* (sqrt (log base)) (sqrt (log base)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))) #s(literal 2 binary64))))
#s(approx (* (sqrt (log base)) (sqrt (log base))) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))) #s(literal 2 binary64)))
#s(approx (sqrt (log base)) (sqrt.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))))
#s(approx (* (* (/ 1 (log base)) (/ 1 (log base))) (atan2 im re)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64))))
#s(approx (* (/ 1 (log base)) (/ 1 (log base))) (/.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 (/ 2 (* (* (log base) (atan2 im re)) 2)) (/.f64 #s(literal -1 binary64) (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re))))
#s(approx (* (* (log base) (atan2 im re)) 2) (*.f64 #s(literal -2 binary64) (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re))))
Calls

9 calls:

TimeVariablePointExpression
13.0ms
re
@inf
((/ (* (log base) (atan2 im re)) (* (log base) (log base))) (* (log base) (atan2 im re)) (log base) base (atan2 im re) im re (* (log base) (log base)) (/ 1 (/ (log base) (atan2 im re))) 1 (/ (log base) (atan2 im re)) (* (atan2 im re) (/ 1 (* (sqrt (log base)) (sqrt (log base))))) (/ 1 (* (sqrt (log base)) (sqrt (log base)))) (* (sqrt (log base)) (sqrt (log base))) (sqrt (log base)) (* (* (* (/ 1 (log base)) (/ 1 (log base))) (atan2 im re)) (log base)) (* (* (/ 1 (log base)) (/ 1 (log base))) (atan2 im re)) (* (/ 1 (log base)) (/ 1 (log base))) (/ 1 (log base)) (/ (* (/ 1 (log base)) (/ 1 (/ 2 (* (* (log base) (atan2 im re)) 2)))) (log base)) (* (/ 1 (log base)) (/ 1 (/ 2 (* (* (log base) (atan2 im re)) 2)))) (/ 1 (/ 2 (* (* (log base) (atan2 im re)) 2))) (/ 2 (* (* (log base) (atan2 im re)) 2)) 2 (* (* (log base) (atan2 im re)) 2))
12.0ms
base
@inf
((/ (* (log base) (atan2 im re)) (* (log base) (log base))) (* (log base) (atan2 im re)) (log base) base (atan2 im re) im re (* (log base) (log base)) (/ 1 (/ (log base) (atan2 im re))) 1 (/ (log base) (atan2 im re)) (* (atan2 im re) (/ 1 (* (sqrt (log base)) (sqrt (log base))))) (/ 1 (* (sqrt (log base)) (sqrt (log base)))) (* (sqrt (log base)) (sqrt (log base))) (sqrt (log base)) (* (* (* (/ 1 (log base)) (/ 1 (log base))) (atan2 im re)) (log base)) (* (* (/ 1 (log base)) (/ 1 (log base))) (atan2 im re)) (* (/ 1 (log base)) (/ 1 (log base))) (/ 1 (log base)) (/ (* (/ 1 (log base)) (/ 1 (/ 2 (* (* (log base) (atan2 im re)) 2)))) (log base)) (* (/ 1 (log base)) (/ 1 (/ 2 (* (* (log base) (atan2 im re)) 2)))) (/ 1 (/ 2 (* (* (log base) (atan2 im re)) 2))) (/ 2 (* (* (log base) (atan2 im re)) 2)) 2 (* (* (log base) (atan2 im re)) 2))
11.0ms
re
@0
((/ (* (log base) (atan2 im re)) (* (log base) (log base))) (* (log base) (atan2 im re)) (log base) base (atan2 im re) im re (* (log base) (log base)) (/ 1 (/ (log base) (atan2 im re))) 1 (/ (log base) (atan2 im re)) (* (atan2 im re) (/ 1 (* (sqrt (log base)) (sqrt (log base))))) (/ 1 (* (sqrt (log base)) (sqrt (log base)))) (* (sqrt (log base)) (sqrt (log base))) (sqrt (log base)) (* (* (* (/ 1 (log base)) (/ 1 (log base))) (atan2 im re)) (log base)) (* (* (/ 1 (log base)) (/ 1 (log base))) (atan2 im re)) (* (/ 1 (log base)) (/ 1 (log base))) (/ 1 (log base)) (/ (* (/ 1 (log base)) (/ 1 (/ 2 (* (* (log base) (atan2 im re)) 2)))) (log base)) (* (/ 1 (log base)) (/ 1 (/ 2 (* (* (log base) (atan2 im re)) 2)))) (/ 1 (/ 2 (* (* (log base) (atan2 im re)) 2))) (/ 2 (* (* (log base) (atan2 im re)) 2)) 2 (* (* (log base) (atan2 im re)) 2))
11.0ms
base
@-inf
((/ (* (log base) (atan2 im re)) (* (log base) (log base))) (* (log base) (atan2 im re)) (log base) base (atan2 im re) im re (* (log base) (log base)) (/ 1 (/ (log base) (atan2 im re))) 1 (/ (log base) (atan2 im re)) (* (atan2 im re) (/ 1 (* (sqrt (log base)) (sqrt (log base))))) (/ 1 (* (sqrt (log base)) (sqrt (log base)))) (* (sqrt (log base)) (sqrt (log base))) (sqrt (log base)) (* (* (* (/ 1 (log base)) (/ 1 (log base))) (atan2 im re)) (log base)) (* (* (/ 1 (log base)) (/ 1 (log base))) (atan2 im re)) (* (/ 1 (log base)) (/ 1 (log base))) (/ 1 (log base)) (/ (* (/ 1 (log base)) (/ 1 (/ 2 (* (* (log base) (atan2 im re)) 2)))) (log base)) (* (/ 1 (log base)) (/ 1 (/ 2 (* (* (log base) (atan2 im re)) 2)))) (/ 1 (/ 2 (* (* (log base) (atan2 im re)) 2))) (/ 2 (* (* (log base) (atan2 im re)) 2)) 2 (* (* (log base) (atan2 im re)) 2))
10.0ms
im
@-inf
((/ (* (log base) (atan2 im re)) (* (log base) (log base))) (* (log base) (atan2 im re)) (log base) base (atan2 im re) im re (* (log base) (log base)) (/ 1 (/ (log base) (atan2 im re))) 1 (/ (log base) (atan2 im re)) (* (atan2 im re) (/ 1 (* (sqrt (log base)) (sqrt (log base))))) (/ 1 (* (sqrt (log base)) (sqrt (log base)))) (* (sqrt (log base)) (sqrt (log base))) (sqrt (log base)) (* (* (* (/ 1 (log base)) (/ 1 (log base))) (atan2 im re)) (log base)) (* (* (/ 1 (log base)) (/ 1 (log base))) (atan2 im re)) (* (/ 1 (log base)) (/ 1 (log base))) (/ 1 (log base)) (/ (* (/ 1 (log base)) (/ 1 (/ 2 (* (* (log base) (atan2 im re)) 2)))) (log base)) (* (/ 1 (log base)) (/ 1 (/ 2 (* (* (log base) (atan2 im re)) 2)))) (/ 1 (/ 2 (* (* (log base) (atan2 im re)) 2))) (/ 2 (* (* (log base) (atan2 im re)) 2)) 2 (* (* (log base) (atan2 im re)) 2))

rewrite415.0ms (8%)

Memory
-12.0MiB live, 512.6MiB allocated; 203ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025188
045137
1157106
2946106
37280106
09154106
Stop Event
iter-limit
node-limit
iter-limit
Counts
25 → 4 202
Calls
Call 1
Inputs
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(log.f64 base)
base
(atan2.f64 im re)
im
re
(*.f64 (log.f64 base) (log.f64 base))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
#s(literal 1 binary64)
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base))))
(*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))
(sqrt.f64 (log.f64 base))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base))) (atan2.f64 im re)) (log.f64 base))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base))) (atan2.f64 im re))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64))))) (log.f64 base))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)))
#s(literal 2 binary64)
(*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64))
Outputs
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 2 binary64) (atan2.f64 im re))) #s(literal 2 binary64))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 #s(literal 2 binary64) (log.f64 base))) (*.f64 #s(literal 2 binary64) (atan2.f64 im re)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 #s(literal -2 binary64) (*.f64 (atan2.f64 im re) (log.f64 base)))) #s(literal -2 binary64))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 #s(literal 2 binary64) (*.f64 (atan2.f64 im re) (log.f64 base)))) #s(literal 2 binary64))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))) #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 base)) (atan2.f64 im re)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))) #s(literal 1 binary64)) (*.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -1 binary64)) (neg.f64 (atan2.f64 im re)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1 binary64)) (atan2.f64 im re))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 #s(literal -2 binary64) (log.f64 base))) (*.f64 (*.f64 #s(literal -2 binary64) (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 #s(literal 2 binary64) (log.f64 base))) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 base)) (atan2.f64 im re)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 base)) (/.f64 (*.f64 #s(literal 2 binary64) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))))
(*.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (sqrt.f64 (log.f64 base)) (log.f64 base))) (neg.f64 (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (atan2.f64 im re) (*.f64 (sqrt.f64 (log.f64 base)) (log.f64 base))) (sqrt.f64 (log.f64 base)))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (log.f64 base))) (atan2.f64 im re)) (/.f64 (neg.f64 (sqrt.f64 (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base))))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (log.f64 base))) (atan2.f64 im re)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (log.f64 base))) (log.f64 base)))
(*.f64 (*.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)) (/.f64 (sqrt.f64 (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))))
(*.f64 (*.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (log.f64 base)) (log.f64 base))))
(*.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (log.f64 base) (log.f64 base))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (atan2.f64 im re))) (/.f64 #s(literal 2 binary64) (log.f64 base)))
(*.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (atan2.f64 im re)) (log.f64 base)) (log.f64 base)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (*.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) (/.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (log.f64 base))))
(*.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) #s(literal -1 binary64))
(*.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (log.f64 base))) (log.f64 base)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 im re) (log.f64 base)))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (log.f64 base))) (log.f64 base)) (*.f64 (neg.f64 (sqrt.f64 (log.f64 base))) (atan2.f64 im re)))
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(+.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (pow.f64 (pow.f64 base (/.f64 (atan2.f64 im re) (log.f64 base))) (*.f64 #s(literal 2 binary64) (log.f64 base))))
(log.f64 (pow.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 base))) (*.f64 #s(literal 2 binary64) (log.f64 base))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) (*.f64 #s(literal 2 binary64) (log.f64 base))))
(log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) base)) (*.f64 #s(literal 2 binary64) (atan2.f64 im re))))
(log.f64 (pow.f64 (pow.f64 base (neg.f64 (atan2.f64 im re))) #s(literal -2 binary64)))
(log.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) base) (atan2.f64 im re)) #s(literal -2 binary64)))
(log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 base (atan2.f64 im re))) #s(literal -2 binary64)))
(log.f64 (pow.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) #s(literal -2 binary64)) #s(literal -1 binary64)))
(log.f64 (pow.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 base (*.f64 #s(literal 2 binary64) (atan2.f64 im re))) #s(literal 1 binary64)))
(log.f64 (pow.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(log.f64 (pow.f64 (*.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 base (atan2.f64 im re))) #s(literal 1 binary64)))
(log.f64 (pow.f64 (pow.f64 base #s(literal 2 binary64)) (atan2.f64 im re)))
(log.f64 (*.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) #s(literal 1 binary64)) (pow.f64 (pow.f64 base (atan2.f64 im re)) #s(literal 1 binary64))))
(log.f64 (*.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) #s(literal 1 binary64)) (pow.f64 base (atan2.f64 im re))))
(log.f64 (*.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 (pow.f64 base (atan2.f64 im re)) #s(literal 1 binary64))))
(log.f64 (/.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) #s(literal 1 binary64)) (pow.f64 base (neg.f64 (atan2.f64 im re)))))
(log.f64 (/.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) base) (atan2.f64 im re))))
(log.f64 (/.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 base (atan2.f64 im re)))))
(log.f64 (/.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 base (neg.f64 (atan2.f64 im re)))))
(log.f64 (/.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 (/.f64 #s(literal 1 binary64) base) (atan2.f64 im re))))
(log.f64 (/.f64 (pow.f64 base (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (pow.f64 base (atan2.f64 im re)))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 base (atan2.f64 im re)) #s(literal -2 binary64))))
(log.f64 (pow.f64 base (*.f64 #s(literal 2 binary64) (atan2.f64 im re))))
(log.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) #s(literal 2 binary64)))
(log.f64 (*.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 base (atan2.f64 im re))))

eval440.0ms (8.5%)

Memory
40.3MiB live, 721.8MiB allocated; 196ms collecting garbage
Compiler

Compiled 42 636 to 11 400 computations (73.3% saved)

prune78.0ms (1.5%)

Memory
-11.3MiB live, 175.2MiB allocated; 23ms collecting garbage
Pruning

22 alts after pruning (15 fresh and 7 done)

PrunedKeptTotal
New3 699113 710
Fresh6410
Picked235
Done044
Total3 707223 729
Accuracy
100.0%
Counts
3 729 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(/.f64 (fma.f64 (-.f64 (atan2.f64 im re) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
48.4%
(/.f64 (atan2.f64 im re) (*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base))))
99.5%
(/.f64 (atan2.f64 im re) (log.f64 base))
48.4%
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
98.7%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 im re) (log.f64 base))))
98.9%
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (log.f64 base)) (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
48.5%
(/.f64 (*.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)) (*.f64 (sqrt.f64 (log.f64 base)) (log.f64 base)))
48.4%
(/.f64 (*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base)))
99.4%
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base)))
98.5%
(/.f64 (log.f64 base) (*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)))
98.9%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
98.8%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
80.1%
(/.f64 #s(literal 1 binary64) (log.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))))
48.4%
(*.f64 (atan2.f64 im re) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))))
48.4%
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))))
99.4%
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
52.5%
(*.f64 (atan2.f64 im re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base)))))
48.5%
(*.f64 (/.f64 (atan2.f64 im re) (*.f64 (sqrt.f64 (log.f64 base)) (log.f64 base))) (sqrt.f64 (log.f64 base)))
99.2%
(*.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))) (log.f64 base))
99.2%
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base)) (atan2.f64 im re)) (log.f64 base))
99.2%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))) (atan2.f64 im re)) (log.f64 base))
50.2%
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64)))
Compiler

Compiled 406 to 348 computations (14.3% saved)

series107.0ms (2.1%)

Memory
14.5MiB live, 197.4MiB allocated; 24ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
080431
Stop Event
iter-limit
Counts
26 → 29
Calls
Call 1
Inputs
(/.f64 (fma.f64 (-.f64 (atan2.f64 im re) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(fma.f64 (-.f64 (atan2.f64 im re) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))
(-.f64 (atan2.f64 im re) #s(literal 0 binary64))
(atan2.f64 im re)
im
re
#s(literal 0 binary64)
(*.f64 (log.f64 base) (log.f64 base))
(log.f64 base)
base
(pow.f64 (log.f64 base) #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (log.f64 base) (*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base)) (atan2.f64 im re)) (log.f64 base))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base)) (atan2.f64 im re))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
Outputs
#s(approx (/ (+ (* (- (atan2 im re) 0) (* (log base) (log base))) 0) (pow (log base) 3)) (/.f64 (atan2.f64 im re) (log.f64 base)))
#s(approx (+ (* (- (atan2 im re) 0) (* (log base) (log base))) 0) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)))
#s(approx (- (atan2 im re) 0) (atan2.f64 im re))
#s(approx re re)
#s(approx (* (/ 1 (atan2 im re)) (log base)) (/.f64 (log.f64 base) (atan2.f64 im re)))
#s(approx (/ 1 (atan2 im re)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
#s(approx (* (atan2 im re) (sqrt (/ 1 (* (log base) (log base))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (atan2.f64 im re)))
#s(approx (* (/ (log base) (atan2 im re)) (log base)) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)))
#s(approx (* (/ (/ 1 (log base)) (log base)) (atan2 im re)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
#s(approx im im)
#s(approx (* (log base) (log base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (log base) (log.f64 base))
#s(approx base base)
#s(approx (pow (log base) 3) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
#s(approx (sqrt (/ 1 (* (log base) (log base)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
#s(approx (/ 1 (* (log base) (log base))) (/.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 (/ (+ (* (- (atan2 im re) 0) (* (log base) (log base))) 0) (pow (log base) 3)) (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base)))))
#s(approx (+ (* (- (atan2 im re) 0) (* (log base) (log base))) 0) (*.f64 (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64)) (atan2.f64 im re)))
#s(approx (* (log base) (log base)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #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) 3) (*.f64 #s(literal -1 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 3 binary64))))
#s(approx (* (/ 1 (atan2 im re)) (log base)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re))))
#s(approx (* (atan2 im re) (sqrt (/ 1 (* (log base) (log base))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64)))) (atan2.f64 im re)))
#s(approx (sqrt (/ 1 (* (log base) (log base)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64)))))
#s(approx (/ 1 (* (log base) (log base))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64))))
#s(approx (* (/ (log base) (atan2 im re)) (log base)) (/.f64 (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64)) (atan2.f64 im re)))
#s(approx (* (/ (/ 1 (log base)) (log base)) (atan2 im re)) (/.f64 (atan2.f64 im re) (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))))
Calls

9 calls:

TimeVariablePointExpression
17.0ms
base
@0
((/ (+ (* (- (atan2 im re) 0) (* (log base) (log base))) 0) (pow (log base) 3)) (+ (* (- (atan2 im re) 0) (* (log base) (log base))) 0) (- (atan2 im re) 0) (atan2 im re) im re 0 (* (log base) (log base)) (log base) base (pow (log base) 3) 3 (/ 1 (* (/ 1 (atan2 im re)) (log base))) 1 (* (/ 1 (atan2 im re)) (log base)) (/ 1 (atan2 im re)) (* (atan2 im re) (sqrt (/ 1 (* (log base) (log base))))) (sqrt (/ 1 (* (log base) (log base)))) (/ 1 (* (log base) (log base))) (/ (log base) (* (/ (log base) (atan2 im re)) (log base))) (* (/ (log base) (atan2 im re)) (log base)) (/ (log base) (atan2 im re)) (* (* (/ (/ 1 (log base)) (log base)) (atan2 im re)) (log base)) (* (/ (/ 1 (log base)) (log base)) (atan2 im re)) (/ (/ 1 (log base)) (log base)) (/ 1 (log base)))
13.0ms
base
@-inf
((/ (+ (* (- (atan2 im re) 0) (* (log base) (log base))) 0) (pow (log base) 3)) (+ (* (- (atan2 im re) 0) (* (log base) (log base))) 0) (- (atan2 im re) 0) (atan2 im re) im re 0 (* (log base) (log base)) (log base) base (pow (log base) 3) 3 (/ 1 (* (/ 1 (atan2 im re)) (log base))) 1 (* (/ 1 (atan2 im re)) (log base)) (/ 1 (atan2 im re)) (* (atan2 im re) (sqrt (/ 1 (* (log base) (log base))))) (sqrt (/ 1 (* (log base) (log base)))) (/ 1 (* (log base) (log base))) (/ (log base) (* (/ (log base) (atan2 im re)) (log base))) (* (/ (log base) (atan2 im re)) (log base)) (/ (log base) (atan2 im re)) (* (* (/ (/ 1 (log base)) (log base)) (atan2 im re)) (log base)) (* (/ (/ 1 (log base)) (log base)) (atan2 im re)) (/ (/ 1 (log base)) (log base)) (/ 1 (log base)))
12.0ms
re
@inf
((/ (+ (* (- (atan2 im re) 0) (* (log base) (log base))) 0) (pow (log base) 3)) (+ (* (- (atan2 im re) 0) (* (log base) (log base))) 0) (- (atan2 im re) 0) (atan2 im re) im re 0 (* (log base) (log base)) (log base) base (pow (log base) 3) 3 (/ 1 (* (/ 1 (atan2 im re)) (log base))) 1 (* (/ 1 (atan2 im re)) (log base)) (/ 1 (atan2 im re)) (* (atan2 im re) (sqrt (/ 1 (* (log base) (log base))))) (sqrt (/ 1 (* (log base) (log base)))) (/ 1 (* (log base) (log base))) (/ (log base) (* (/ (log base) (atan2 im re)) (log base))) (* (/ (log base) (atan2 im re)) (log base)) (/ (log base) (atan2 im re)) (* (* (/ (/ 1 (log base)) (log base)) (atan2 im re)) (log base)) (* (/ (/ 1 (log base)) (log base)) (atan2 im re)) (/ (/ 1 (log base)) (log base)) (/ 1 (log base)))
12.0ms
im
@inf
((/ (+ (* (- (atan2 im re) 0) (* (log base) (log base))) 0) (pow (log base) 3)) (+ (* (- (atan2 im re) 0) (* (log base) (log base))) 0) (- (atan2 im re) 0) (atan2 im re) im re 0 (* (log base) (log base)) (log base) base (pow (log base) 3) 3 (/ 1 (* (/ 1 (atan2 im re)) (log base))) 1 (* (/ 1 (atan2 im re)) (log base)) (/ 1 (atan2 im re)) (* (atan2 im re) (sqrt (/ 1 (* (log base) (log base))))) (sqrt (/ 1 (* (log base) (log base)))) (/ 1 (* (log base) (log base))) (/ (log base) (* (/ (log base) (atan2 im re)) (log base))) (* (/ (log base) (atan2 im re)) (log base)) (/ (log base) (atan2 im re)) (* (* (/ (/ 1 (log base)) (log base)) (atan2 im re)) (log base)) (* (/ (/ 1 (log base)) (log base)) (atan2 im re)) (/ (/ 1 (log base)) (log base)) (/ 1 (log base)))
10.0ms
base
@inf
((/ (+ (* (- (atan2 im re) 0) (* (log base) (log base))) 0) (pow (log base) 3)) (+ (* (- (atan2 im re) 0) (* (log base) (log base))) 0) (- (atan2 im re) 0) (atan2 im re) im re 0 (* (log base) (log base)) (log base) base (pow (log base) 3) 3 (/ 1 (* (/ 1 (atan2 im re)) (log base))) 1 (* (/ 1 (atan2 im re)) (log base)) (/ 1 (atan2 im re)) (* (atan2 im re) (sqrt (/ 1 (* (log base) (log base))))) (sqrt (/ 1 (* (log base) (log base)))) (/ 1 (* (log base) (log base))) (/ (log base) (* (/ (log base) (atan2 im re)) (log base))) (* (/ (log base) (atan2 im re)) (log base)) (/ (log base) (atan2 im re)) (* (* (/ (/ 1 (log base)) (log base)) (atan2 im re)) (log base)) (* (/ (/ 1 (log base)) (log base)) (atan2 im re)) (/ (/ 1 (log base)) (log base)) (/ 1 (log base)))

rewrite394.0ms (7.6%)

Memory
13.2MiB live, 498.4MiB allocated; 78ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026167
047151
1193141
2796113
36474113
08122113
Stop Event
iter-limit
node-limit
iter-limit
Counts
26 → 5 619
Calls
Call 1
Inputs
(/.f64 (fma.f64 (-.f64 (atan2.f64 im re) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(fma.f64 (-.f64 (atan2.f64 im re) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))
(-.f64 (atan2.f64 im re) #s(literal 0 binary64))
(atan2.f64 im re)
im
re
#s(literal 0 binary64)
(*.f64 (log.f64 base) (log.f64 base))
(log.f64 base)
base
(pow.f64 (log.f64 base) #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (log.f64 base) (*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base)) (atan2.f64 im re)) (log.f64 base))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base)) (atan2.f64 im re))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
Outputs
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (*.f64 (fabs.f64 (log.f64 base)) (atan2.f64 im re))) (fabs.f64 (log.f64 base)))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (*.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))) (neg.f64 (log.f64 base)))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (fabs.f64 (log.f64 base))) (*.f64 (fabs.f64 (log.f64 base)) (atan2.f64 im re)))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (neg.f64 (log.f64 base))) (*.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (fabs.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)))) (fabs.f64 (/.f64 #s(literal -1 binary64) (log.f64 base))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64))) #s(literal 0 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (/.f64 (*.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) (*.f64 (fabs.f64 (log.f64 base)) (log.f64 base))) (/.f64 (neg.f64 (log.f64 base)) (fabs.f64 (log.f64 base))))
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(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1 binary64))
(*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (log.f64 base))) (pow.f64 (/.f64 (fabs.f64 (log.f64 base)) (log.f64 base)) #s(literal -1 binary64)))
(*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (log.f64 base))) (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (log.f64 base))) (log.f64 base)))
(*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (log.f64 base))) (/.f64 (log.f64 base) (fabs.f64 (log.f64 base))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))) (log.f64 base))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (*.f64 (log.f64 base) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -3 binary64)))
(*.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))))
(pow.f64 (log.f64 base) #s(literal -1 binary64))
(/.f64 (*.f64 (log.f64 base) (fabs.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)))) (fabs.f64 (log.f64 base)))
(/.f64 (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (log.f64 base))) (log.f64 base)) (fabs.f64 (log.f64 base)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (log.f64 base)) (neg.f64 (log.f64 base)))
(/.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (fabs.f64 (log.f64 base)) (log.f64 base))) (fabs.f64 (log.f64 base)))
(/.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (neg.f64 (log.f64 base)) (log.f64 base))) (neg.f64 (log.f64 base)))
(/.f64 (/.f64 (log.f64 base) (neg.f64 (fabs.f64 (log.f64 base)))) (neg.f64 (fabs.f64 (log.f64 base))))
(/.f64 (/.f64 (log.f64 base) (fabs.f64 (log.f64 base))) (fabs.f64 (log.f64 base)))
(/.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 base)) (fabs.f64 (log.f64 base))) (*.f64 (fabs.f64 (log.f64 base)) (log.f64 base)))
(/.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 base)) (neg.f64 (log.f64 base))) (*.f64 (neg.f64 (log.f64 base)) (log.f64 base)))
(/.f64 (*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (log.f64 base)) #s(literal 3 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 (log.f64 base)) #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (log.f64 base))))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 (log.f64 base)) (log.f64 base)) (pow.f64 (neg.f64 (log.f64 base)) #s(literal 3 binary64)))
(/.f64 (neg.f64 (log.f64 base)) (*.f64 (neg.f64 (log.f64 base)) (log.f64 base)))
(/.f64 #s(literal -1 binary64) (neg.f64 (log.f64 base)))
(/.f64 #s(literal 2 binary64) (*.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (log.f64 base)))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (log.f64 base)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/.f64 (*.f64 (log.f64 base) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base)))
(neg.f64 (*.f64 (*.f64 (neg.f64 (log.f64 base)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -3 binary64))))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (log.f64 base))) (log.f64 base)))
(neg.f64 (*.f64 (log.f64 base) (/.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (log.f64 base)))))
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 base)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(neg.f64 (/.f64 (log.f64 base) (*.f64 (neg.f64 (log.f64 base)) (log.f64 base))))
(neg.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)))
(fma.f64 (*.f64 (log.f64 base) (fabs.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)))) (fabs.f64 (/.f64 #s(literal -1 binary64) (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 (fabs.f64 (log.f64 base))) (*.f64 (fabs.f64 (log.f64 base)) (log.f64 base))) (/.f64 (neg.f64 (fabs.f64 (log.f64 base))) (fabs.f64 (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 (fabs.f64 (log.f64 base))) (*.f64 (neg.f64 (log.f64 base)) (log.f64 base))) (/.f64 (neg.f64 (fabs.f64 (log.f64 base))) (neg.f64 (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 (fabs.f64 (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 (neg.f64 (fabs.f64 (log.f64 base))) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fabs.f64 (log.f64 base)) (*.f64 (fabs.f64 (log.f64 base)) (log.f64 base))) (/.f64 (fabs.f64 (log.f64 base)) (fabs.f64 (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 (log.f64 base)) (*.f64 (fabs.f64 (log.f64 base)) (log.f64 base))) (/.f64 (neg.f64 (log.f64 base)) (fabs.f64 (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (/.f64 (log.f64 base) (*.f64 (fabs.f64 (log.f64 base)) (log.f64 base))) (/.f64 (log.f64 base) (fabs.f64 (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (/.f64 (fabs.f64 (log.f64 base)) (*.f64 (neg.f64 (log.f64 base)) (log.f64 base))) (/.f64 (fabs.f64 (log.f64 base)) (neg.f64 (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (/.f64 (fabs.f64 (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 (fabs.f64 (log.f64 base)) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 (log.f64 base) (*.f64 (neg.f64 (log.f64 base)) (log.f64 base))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 (fabs.f64 (log.f64 base))) (fabs.f64 (log.f64 base))) (/.f64 (neg.f64 (fabs.f64 (log.f64 base))) (*.f64 (fabs.f64 (log.f64 base)) (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 (fabs.f64 (log.f64 base))) (neg.f64 (log.f64 base))) (/.f64 (neg.f64 (fabs.f64 (log.f64 base))) (*.f64 (neg.f64 (log.f64 base)) (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 (fabs.f64 (log.f64 base))) (log.f64 base)) (/.f64 (neg.f64 (fabs.f64 (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (/.f64 (fabs.f64 (log.f64 base)) (fabs.f64 (log.f64 base))) (/.f64 (fabs.f64 (log.f64 base)) (*.f64 (fabs.f64 (log.f64 base)) (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (/.f64 (fabs.f64 (log.f64 base)) (neg.f64 (log.f64 base))) (/.f64 (fabs.f64 (log.f64 base)) (*.f64 (neg.f64 (log.f64 base)) (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (/.f64 (fabs.f64 (log.f64 base)) (log.f64 base)) (/.f64 (fabs.f64 (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 (log.f64 base)) (fabs.f64 (log.f64 base))) (/.f64 (neg.f64 (log.f64 base)) (*.f64 (fabs.f64 (log.f64 base)) (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (/.f64 (log.f64 base) (neg.f64 (fabs.f64 (log.f64 base)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 (log.f64 base)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (log.f64 base) (fabs.f64 (log.f64 base))) (/.f64 (log.f64 base) (*.f64 (fabs.f64 (log.f64 base)) (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (/.f64 (log.f64 base) (fabs.f64 (log.f64 base))) (fabs.f64 (/.f64 #s(literal -1 binary64) (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 (log.f64 base)))) (/.f64 (log.f64 base) (neg.f64 (fabs.f64 (log.f64 base)))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (fabs.f64 (log.f64 base))) (*.f64 (neg.f64 (fabs.f64 (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -3 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (fabs.f64 (log.f64 base))) (/.f64 (neg.f64 (fabs.f64 (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (fabs.f64 (log.f64 base)) (*.f64 (fabs.f64 (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -3 binary64))) #s(literal 0 binary64))
(fma.f64 (fabs.f64 (log.f64 base)) (/.f64 (fabs.f64 (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (log.f64 base)) (*.f64 (neg.f64 (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -3 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (log.f64 base)) (/.f64 (neg.f64 (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (log.f64 base)) (/.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (log.f64 base))) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (*.f64 (neg.f64 (log.f64 base)) (log.f64 base))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (log.f64 base))) (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (log.f64 base))) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (log.f64 base))) (/.f64 (log.f64 base) (fabs.f64 (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))) (log.f64 base) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (*.f64 (log.f64 base) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -3 binary64)) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 0 binary64))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 0 binary64))
(log.f64 (*.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base)))) #s(literal 1 binary64)))
(log.f64 (/.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base)))) #s(literal 1 binary64)))
(log.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base)))))

eval440.0ms (8.5%)

Memory
50.8MiB live, 747.1MiB allocated; 164ms collecting garbage
Compiler

Compiled 30 703 to 6 764 computations (78% saved)

prune59.0ms (1.1%)

Memory
1.4MiB live, 144.7MiB allocated; 23ms collecting garbage
Pruning

22 alts after pruning (11 fresh and 11 done)

PrunedKeptTotal
New2 59522 597
Fresh1910
Picked145
Done077
Total2 597222 619
Accuracy
100.0%
Counts
2 619 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.4%
(/.f64 (atan2.f64 im re) (*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base))))
99.5%
(/.f64 (atan2.f64 im re) (log.f64 base))
48.4%
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
98.7%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 im re) (log.f64 base))))
48.5%
(/.f64 (*.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)) (*.f64 (sqrt.f64 (log.f64 base)) (log.f64 base)))
48.4%
(/.f64 (*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base)))
99.4%
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base)))
98.5%
(/.f64 (log.f64 base) (/.f64 (*.f64 (log.f64 base) (log.f64 base)) (atan2.f64 im re)))
98.5%
(/.f64 (log.f64 base) (*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)))
98.9%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
98.8%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
80.1%
(/.f64 #s(literal 1 binary64) (log.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))))
99.2%
(*.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) (atan2.f64 im re)))
48.4%
(*.f64 (atan2.f64 im re) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))))
48.4%
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))))
99.4%
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
52.5%
(*.f64 (atan2.f64 im re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base)))))
48.5%
(*.f64 (/.f64 (atan2.f64 im re) (*.f64 (sqrt.f64 (log.f64 base)) (log.f64 base))) (sqrt.f64 (log.f64 base)))
99.2%
(*.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))) (log.f64 base))
99.2%
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base)) (atan2.f64 im re)) (log.f64 base))
99.2%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))) (atan2.f64 im re)) (log.f64 base))
50.2%
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64)))
Compiler

Compiled 515 to 315 computations (38.8% saved)

regimes99.0ms (1.9%)

Memory
-40.1MiB live, 100.5MiB allocated; 57ms collecting garbage
Accuracy

Total -57.7b remaining (-19687.7%)

Threshold costs -57.7b (-19687.7%)

Counts
36 → 1
Calls
Call 1
Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
(/.f64 (atan2.f64 im re) (*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base))))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(*.f64 (atan2.f64 im re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base)))))
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))))
(*.f64 (atan2.f64 im re) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))))
(/.f64 (*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))) (log.f64 base))
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (log.f64 base) (*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)))
(/.f64 (log.f64 base) (/.f64 (*.f64 (log.f64 base) (log.f64 base)) (atan2.f64 im re)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (log.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))) (atan2.f64 im re)) (log.f64 base))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base)) (atan2.f64 im re)) (log.f64 base))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (*.f64 (sqrt.f64 (log.f64 base)) (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (*.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)) (*.f64 (sqrt.f64 (log.f64 base)) (log.f64 base)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (log.f64 base)) (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base))) (atan2.f64 im re)) (log.f64 base))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))))) (log.f64 base))
(*.f64 (atan2.f64 im re) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64))))) (log.f64 base))
(*.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) (atan2.f64 im re)))
(/.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(/.f64 (*.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base))) (log.f64 base))
(/.f64 (fma.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(/.f64 (fma.f64 (-.f64 (atan2.f64 im re) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(*.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
Outputs
(/.f64 (atan2.f64 im re) (log.f64 base))
Calls

5 calls:

21.0ms
base
16.0ms
re
9.0ms
im
9.0ms
(log.f64 base)
8.0ms
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
Results
AccuracySegmentsBranch
99.5%1(log.f64 base)
99.5%1(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
99.5%1re
99.5%1im
99.5%1base
Compiler

Compiled 27 to 31 computations (-14.8% saved)

derivations22.0ms (0.4%)

Memory
31.4MiB live, 31.4MiB allocated; 0ms collecting garbage
Stop Event
fuel
Compiler

Compiled 6 to 6 computations (0% saved)

preprocess39.0ms (0.8%)

Memory
-20.5MiB live, 23.7MiB allocated; 9ms collecting garbage
Compiler

Compiled 28 to 24 computations (14.3% saved)

end0.0ms (0%)

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

Profiling

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