math.log/1 on complex, real part

Time bar (total: 1.7s)

start0.0ms (0.0%)

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

analyze42.0ms (2.5%)

Memory
-1.8MiB live, 14.0MiB allocated; 1ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0.0%0.0%99.9%0.1%0.0%0.0%0.0%0
0.0%0.0%99.9%0.1%0.0%0.0%0.0%1
0.0%0.0%99.9%0.1%0.0%0.0%0.0%2
0.0%0.0%99.9%0.1%0.0%0.0%0.0%3
0.0%0.0%99.9%0.1%0.0%0.0%0.0%4
18.8%18.7%81.2%0.1%0.0%0.0%0.0%5
34.4%34.3%65.6%0.1%0.0%0.0%0.0%6
54.7%54.6%45.3%0.1%0.0%0.0%0.0%7
64.8%64.8%35.1%0.1%0.0%0.0%0.0%8
76.2%76.1%23.8%0.1%0.0%0.0%0.0%9
81.8%81.8%18.1%0.1%0.0%0.0%0.0%10
87.8%87.7%12.2%0.1%0.0%0.0%0.0%11
90.8%90.7%9.2%0.1%0.0%0.0%0.0%12
Compiler

Compiled 11 to 6 computations (45.5% saved)

sample535.0ms (32.2%)

Memory
1.8MiB live, 172.3MiB allocated; 9ms collecting garbage
Samples
366.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 209.0ms
ival-hypot: 124.0ms (59.4% of total)
ival-log: 80.0ms (38.3% of total)
adjust: 5.0ms (2.4% of total)
Bogosity

preprocess58.0ms (3.5%)

Memory
-0.0MiB live, 7.6MiB allocated; 1ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02256
17156
217756
326056
464456
5384556
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.2%
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
Symmetry

(abs re)

(abs im)

(sort re im)

Compiler

Compiled 18 to 14 computations (22.2% saved)

series29.0ms (1.7%)

Memory
-0.2MiB live, 14.4MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02601580
Stop Event
iter-limit
Counts
7 → 54
Calls
Call 1
Inputs
re
(*.f64 re re)
im
(*.f64 im im)
(+.f64 (*.f64 re re) (*.f64 im im))
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
Outputs
#s(approx re #s(literal 0 binary64))
#s(approx re re)
#s(approx (* re re) (pow.f64 re #s(literal 2 binary64)))
#s(approx (+ (* re re) (* im im)) (pow.f64 im #s(literal 2 binary64)))
#s(approx (+ (* re re) (* im im)) (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 6 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))))))
#s(approx (+ (* re re) (* im im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) re))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx im im)
#s(approx (sqrt (+ (* re re) (* im im))) (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 6 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64))))))))
#s(approx (+ (* 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 (sqrt (+ (* re re) (* im im))) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64)))) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) im))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64)))) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
Calls

6 calls:

TimeVariablePoint
2.0ms
re
0
1.0ms
im
0
1.0ms
re
inf
1.0ms
im
inf
0.0ms
re
-inf

rewrite96.0ms (5.8%)

Memory
3.3MiB live, 40.8MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0732
01232
14832
216732
348532
4105532
0420932
Stop Event
iter-limit
node-limit
iter-limit
Counts
7 → 317
Calls
Call 1
Inputs
re
(*.f64 re re)
im
(*.f64 im im)
(+.f64 (*.f64 re re) (*.f64 im im))
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
Outputs
re
(*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 re re) re) re) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 re re) re) re) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 (neg.f64 re) (neg.f64 (fabs.f64 re)))) (sqrt.f64 (*.f64 (neg.f64 re) (neg.f64 (fabs.f64 re)))))
(*.f64 (sqrt.f64 (*.f64 re (neg.f64 (fabs.f64 re)))) (sqrt.f64 (*.f64 re (neg.f64 (fabs.f64 re)))))
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eval36.0ms (2.2%)

Memory
-1.9MiB live, 28.8MiB allocated; 3ms collecting garbage
Compiler

Compiled 6 551 to 1 657 computations (74.7% saved)

prune6.0ms (0.3%)

Memory
-0.5MiB live, 7.4MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New3605365
Fresh000
Picked101
Done000
Total3615366
Accuracy
99.4%
Counts
366 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.2%
(*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))))
0.0%
(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) re)))
0.0%
(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) im)))
10.0%
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))))
98.9%
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))
Compiler

Compiled 60 to 40 computations (33.3% saved)

series78.0ms (4.7%)

Memory
4.6MiB live, 60.1MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04122771
Stop Event
iter-limit
Counts
24 → 98
Calls
Call 1
Inputs
re
(*.f64 re re)
im
(*.f64 im im)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) re)
(log.f64 (/.f64 #s(literal 1 binary64) re))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 #s(literal -1 binary64) re)
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) re))
(/.f64 #s(literal 1 binary64) im)
(log.f64 (/.f64 #s(literal 1 binary64) im))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))
(*.f64 #s(literal -1 binary64) im)
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) im))
(+.f64 (*.f64 im im) (*.f64 re re))
(log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))
(*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))))
(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) re)))
(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) im)))
Outputs
#s(approx re #s(literal 0 binary64))
#s(approx re re)
#s(approx (* re re) (pow.f64 re #s(literal 2 binary64)))
#s(approx (/ 1 re) (/.f64 #s(literal 1 binary64) re))
#s(approx (log (/ 1 re)) (*.f64 #s(literal -1 binary64) (log.f64 re)))
#s(approx (* -1 (log (/ 1 re))) (log.f64 re))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 6 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))))))
#s(approx (* -1 re) (*.f64 #s(literal -1 binary64) re))
#s(approx (sqrt (+ (* re re) (* im im))) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (+ (* im im) (* re re)) (pow.f64 im #s(literal 2 binary64)))
#s(approx (+ (* im im) (* re re)) (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))
#s(approx (log (+ (* im im) (* re re))) (log.f64 (pow.f64 im #s(literal 2 binary64))))
#s(approx (log (+ (* im im) (* re re))) (+.f64 (log.f64 (pow.f64 im #s(literal 2 binary64))) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
#s(approx (log (+ (* im im) (* re re))) (+.f64 (log.f64 (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (log (+ (* im im) (* re re))) (+.f64 (log.f64 (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (* 1/2 (log (+ (* im im) (* re re)))) (*.f64 #s(literal 1/2 binary64) (log.f64 (pow.f64 im #s(literal 2 binary64)))))
#s(approx (* 1/2 (log (+ (* im im) (* re re)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* 1/2 (log (+ (* im im) (* re re)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (pow.f64 im #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (* 1/2 (log (+ (* im im) (* re re)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (pow.f64 im #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (log (/ 1 re)) (log.f64 (/.f64 #s(literal 1 binary64) re)))
#s(approx (* -1 (log (/ 1 re))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (+ (* im im) (* re re)) (*.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 (+ (* im im) (* re re))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))))
#s(approx (log (+ (* im im) (* re re))) (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
#s(approx (log (+ (* im im) (* re re))) (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (log (+ (* im im) (* re re))) (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (* 1/2 (log (+ (* im im) (* re re)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))))
#s(approx (log (+ (* im im) (* re re))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))))
#s(approx (log (+ (* im im) (* re re))) (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
#s(approx (log (+ (* im im) (* re re))) (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (log (+ (* im im) (* re re))) (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (* 1/2 (log (+ (* im im) (* re re)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx 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)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 6 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (/ 1 im) (/.f64 #s(literal 1 binary64) im))
#s(approx (log (/ 1 im)) (*.f64 #s(literal -1 binary64) (log.f64 im)))
#s(approx (* -1 (log (/ 1 im))) (log.f64 im))
#s(approx (* -1 im) (*.f64 #s(literal -1 binary64) im))
#s(approx (log (+ (* im im) (* re re))) (log.f64 (pow.f64 re #s(literal 2 binary64))))
#s(approx (log (+ (* im im) (* re re))) (+.f64 (log.f64 (pow.f64 re #s(literal 2 binary64))) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
#s(approx (log (+ (* im im) (* re re))) (+.f64 (log.f64 (pow.f64 re #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (log (+ (* im im) (* re re))) (+.f64 (log.f64 (pow.f64 re #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (* 1/2 (log (+ (* im im) (* re re)))) (*.f64 #s(literal 1/2 binary64) (log.f64 (pow.f64 re #s(literal 2 binary64)))))
#s(approx (* 1/2 (log (+ (* im im) (* re re)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (* 1/2 (log (+ (* im im) (* re re)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (pow.f64 re #s(literal 2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (* 1/2 (log (+ (* im im) (* re re)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (pow.f64 re #s(literal 2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64)))) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (log (/ 1 im)) (log.f64 (/.f64 #s(literal 1 binary64) im)))
#s(approx (+ (* im im) (* re re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (log (+ (* im im) (* re re))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))
#s(approx (log (+ (* im im) (* re re))) (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
#s(approx (log (+ (* im im) (* re re))) (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (log (+ (* im im) (* re re))) (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (* 1/2 (log (+ (* im im) (* re re)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64)))) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))))
#s(approx (log (+ (* im im) (* re re))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))
#s(approx (log (+ (* im im) (* re re))) (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
#s(approx (log (+ (* im im) (* re re))) (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (log (+ (* im im) (* re re))) (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (* 1/2 (log (+ (* im im) (* re re)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
Calls

6 calls:

TimeVariablePoint
23.0ms
re
0
11.0ms
im
inf
8.0ms
re
inf
7.0ms
im
0
7.0ms
im
-inf

rewrite80.0ms (4.8%)

Memory
-6.3MiB live, 32.6MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029150
043133
1130125
2390125
31267125
04260125
Stop Event
iter-limit
node-limit
iter-limit
Counts
24 → 655
Calls
Call 1
Inputs
re
(*.f64 re re)
im
(*.f64 im im)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) re)
(log.f64 (/.f64 #s(literal 1 binary64) re))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 #s(literal -1 binary64) re)
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) re))
(/.f64 #s(literal 1 binary64) im)
(log.f64 (/.f64 #s(literal 1 binary64) im))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))
(*.f64 #s(literal -1 binary64) im)
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) im))
(+.f64 (*.f64 im im) (*.f64 re re))
(log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))
(*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))))
(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) re)))
(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) im)))
Outputs
re
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 re re) #s(literal 0 binary64)) (*.f64 re re))) (*.f64 re re))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 re re)) (*.f64 re re))) (*.f64 re re))
(*.f64 (pow.f64 (*.f64 re re) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 re re) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 re re) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (pow.f64 (*.f64 re re) #s(literal 0 binary64)) (*.f64 re re))
(*.f64 (pow.f64 (*.f64 re (neg.f64 re)) #s(literal 1 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 re re))
(*.f64 (pow.f64 (*.f64 re re) #s(literal 1/2 binary64)) (pow.f64 (*.f64 re re) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 re (neg.f64 re)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 re re))
(*.f64 (*.f64 (*.f64 re re) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 re re)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (neg.f64 re) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 re) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 re re) #s(literal -2 binary64)))
(*.f64 (sqrt.f64 (*.f64 re re)) (sqrt.f64 (*.f64 re re)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 2 binary64)) (*.f64 re re))
(*.f64 (pow.f64 re (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 re (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 re re)
(*.f64 (pow.f64 re #s(literal 1 binary64)) re)
(*.f64 (pow.f64 re #s(literal 1 binary64)) (pow.f64 re #s(literal 1 binary64)))
(*.f64 (*.f64 re (neg.f64 re)) #s(literal -1 binary64))
(*.f64 (neg.f64 re) (neg.f64 re))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 re re) #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 re (neg.f64 re)))
(*.f64 #s(literal 1 binary64) (*.f64 re re))
(*.f64 (*.f64 re re) (pow.f64 (neg.f64 re) #s(literal 0 binary64)))
(*.f64 (*.f64 re re) (pow.f64 (*.f64 re re) #s(literal 0 binary64)))
(*.f64 (*.f64 re re) (pow.f64 re #s(literal 0 binary64)))
(*.f64 (*.f64 re re) (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(*.f64 (*.f64 re re) (pow.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(*.f64 (*.f64 re re) (pow.f64 #s(literal -1 binary64) #s(literal 2 binary64)))
(*.f64 (*.f64 re re) #s(literal 1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 #s(literal 1 binary64) re)) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/2 binary64))
(pow.f64 re #s(literal 2 binary64))
(pow.f64 (neg.f64 re) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal -2 binary64))
(pow.f64 (*.f64 re re) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 (*.f64 re re) #s(literal 0 binary64)) (*.f64 (*.f64 re re) #s(literal 0 binary64)))) (-.f64 (*.f64 re re) (*.f64 (*.f64 re re) #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 re re)) (*.f64 #s(literal 0 binary64) (*.f64 re re)))) (-.f64 (*.f64 re re) (*.f64 #s(literal 0 binary64) (*.f64 re re))))
(/.f64 (+.f64 (pow.f64 (*.f64 re re) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 re re) #s(literal 0 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 0 binary64)) (*.f64 (*.f64 re re) #s(literal 0 binary64))) (*.f64 (*.f64 re re) (*.f64 (*.f64 re re) #s(literal 0 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 re re) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 0 binary64) (*.f64 re re)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 re re)) (*.f64 #s(literal 0 binary64) (*.f64 re re))) (*.f64 (*.f64 re re) (*.f64 #s(literal 0 binary64) (*.f64 re re))))))
(/.f64 (neg.f64 (*.f64 (*.f64 re re) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 re re))) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 re re) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 re re)) #s(literal 2 binary64))
(/.f64 re (/.f64 #s(literal 1 binary64) re))
(/.f64 (pow.f64 re #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) re))
(/.f64 (*.f64 re (neg.f64 re)) #s(literal -1 binary64))
(/.f64 (neg.f64 re) (/.f64 #s(literal -1 binary64) re))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 re re) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 re re))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 re (neg.f64 re))))
(/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 re) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 re re) #s(literal -1 binary64)))
(/.f64 (*.f64 re re) (pow.f64 (*.f64 re re) #s(literal 0 binary64)))
(/.f64 (*.f64 re re) #s(literal 1 binary64))
(neg.f64 (*.f64 re (neg.f64 re)))
(sqrt.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) (*.f64 re re))))
(sqrt.f64 (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1 binary64)))
(sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re)))
(fabs.f64 (*.f64 re (neg.f64 re)))
(fabs.f64 (*.f64 re re))
(exp.f64 (*.f64 (log.f64 (*.f64 re re)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 re)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)))
(+.f64 (+.f64 (*.f64 re re) (*.f64 #s(literal 2 binary64) (*.f64 re (-.f64 re re)))) (pow.f64 (-.f64 re re) #s(literal 2 binary64)))
(+.f64 (*.f64 re re) (*.f64 (*.f64 re re) #s(literal 0 binary64)))
(+.f64 (*.f64 re re) (*.f64 #s(literal 0 binary64) (*.f64 re re)))
im
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 im im) #s(literal 0 binary64)) (*.f64 im im))) (*.f64 im im))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 im im)) (*.f64 im im))) (*.f64 im im))
(*.f64 (pow.f64 (*.f64 im im) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 im im) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
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(/.f64 (-.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (*.f64 re re) (*.f64 re re))) (-.f64 (*.f64 im im) (*.f64 re re)))
(/.f64 (+.f64 (pow.f64 (*.f64 re re) #s(literal 3 binary64)) (pow.f64 (*.f64 im im) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (-.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 (+.f64 (pow.f64 (*.f64 im im) #s(literal 3 binary64)) (pow.f64 (*.f64 re re) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (-.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 re re)))))
(/.f64 (+.f64 (*.f64 im im) (*.f64 re re)) (pow.f64 (+.f64 (*.f64 im im) (*.f64 re re)) #s(literal 0 binary64)))
(/.f64 (+.f64 (*.f64 im im) (*.f64 re re)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 im im) (*.f64 re re)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re))) #s(literal -2 binary64)))
(neg.f64 (-.f64 (*.f64 im (neg.f64 im)) (*.f64 re re)))
(-.f64 (*.f64 im im) (*.f64 re (neg.f64 re)))
(-.f64 (*.f64 re re) (*.f64 im (neg.f64 im)))
(sqrt.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 im im) (*.f64 re re)) (+.f64 (*.f64 im im) (*.f64 re re)))))
(sqrt.f64 (*.f64 (+.f64 (*.f64 im im) (*.f64 re re)) (+.f64 (*.f64 im im) (*.f64 re re))))
(fabs.f64 (neg.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re))))))
(fabs.f64 (neg.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re))) (neg.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))))))
(fabs.f64 (*.f64 (neg.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re))))) (neg.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re))))))
(fabs.f64 (*.f64 (neg.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re))))) (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))))))
(fabs.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re))) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))))))
(fabs.f64 (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re))))))
(fabs.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re))) (neg.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))))))
(fabs.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re))))))
(fabs.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re))) (neg.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))))
(fabs.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re))) (neg.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re))))))
(fabs.f64 (-.f64 (*.f64 im (neg.f64 im)) (*.f64 re re)))
(fabs.f64 (+.f64 (*.f64 im im) (*.f64 re re)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (*.f64 im im) (*.f64 re re)) (+.f64 (*.f64 im im) (*.f64 re re)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(+.f64 (*.f64 im im) (*.f64 re re))
(+.f64 (*.f64 re re) (*.f64 im im))
(*.f64 #s(literal 2 binary64) (*.f64 (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))))
(*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (+.f64 (*.f64 im im) (*.f64 re re)) (+.f64 (*.f64 im im) (*.f64 re re)))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re))))) (log.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re))))))
(+.f64 (*.f64 (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))) #s(literal 1/2 binary64)) (*.f64 (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))) #s(literal 1/2 binary64)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 (*.f64 im (neg.f64 im)) (*.f64 re re))))
(+.f64 (log.f64 #s(literal 1 binary64)) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))))
(log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))
(*.f64 (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))))
(/.f64 (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))) #s(literal 2 binary64))
(log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re))))
(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re)))
(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im)))

eval55.0ms (3.3%)

Memory
5.6MiB live, 49.9MiB allocated; 8ms collecting garbage
Compiler

Compiled 10 509 to 2 720 computations (74.1% saved)

prune10.0ms (0.6%)

Memory
4.9MiB live, 12.8MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New7336739
Fresh000
Picked415
Done000
Total7377744
Accuracy
99.4%
Counts
744 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.2%
(*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))))
0.0%
(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re)))
0.0%
(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im)))
10.0%
#s(approx (log (sqrt (+ (* re re) (* im im)))) (-.f64 (log.f64 (*.f64 re #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64))))
10.0%
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 re)))))
10.0%
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 re))
98.9%
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
Compiler

Compiled 60 to 42 computations (30.0% saved)

series54.0ms (3.3%)

Memory
-7.7MiB live, 43.7MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02641531
Stop Event
iter-limit
Counts
18 → 55
Calls
Call 1
Inputs
re
im
#s(literal 1 binary64)
#s(literal -1 binary64)
(neg.f64 re)
(log.f64 re)
(neg.f64 im)
(log.f64 im)
(/.f64 #s(literal -1 binary64) (log.f64 re))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 re)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 re))
#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im))
(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re)))
(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 re))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 re)))))
Outputs
#s(approx re #s(literal 0 binary64))
#s(approx re re)
#s(approx (neg re) (*.f64 #s(literal -1 binary64) re))
#s(approx (log re) (log.f64 re))
#s(approx (/ -1 (log re)) (/.f64 #s(literal -1 binary64) (log.f64 re)))
#s(approx (/ 1 (/ -1 (log re))) (*.f64 #s(literal -1 binary64) (log.f64 re)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 6 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (log re) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))))
#s(approx (/ -1 (log re)) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))))
#s(approx (/ 1 (/ -1 (log re))) (log.f64 (/.f64 #s(literal 1 binary64) re)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))))
#s(approx im im)
#s(approx (neg im) (*.f64 #s(literal -1 binary64) im))
#s(approx (log im) (log.f64 im))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 6 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (log im) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64)))) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64)))) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))))
Calls

6 calls:

TimeVariablePoint
10.0ms
re
-inf
8.0ms
re
0
7.0ms
im
0
7.0ms
re
inf
6.0ms
im
inf

rewrite127.0ms (7.6%)

Memory
5.9MiB live, 29.4MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023118
032104
189103
2301103
3887103
43597103
04070103
Stop Event
iter-limit
node-limit
iter-limit
Counts
18 → 413
Calls
Call 1
Inputs
re
im
#s(literal 1 binary64)
#s(literal -1 binary64)
(neg.f64 re)
(log.f64 re)
(neg.f64 im)
(log.f64 im)
(/.f64 #s(literal -1 binary64) (log.f64 re))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 re)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 re))
#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im))
(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re)))
(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 re))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 re)))))
Outputs
re
im
#s(literal 1 binary64)
#s(literal -1 binary64)
(*.f64 #s(literal -1/2 binary64) (+.f64 re re))
(*.f64 #s(literal -1 binary64) re)
(*.f64 #s(literal 1 binary64) (neg.f64 re))
(*.f64 re #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) re) #s(literal 2 binary64))
(/.f64 (+.f64 re re) #s(literal -2 binary64))
(/.f64 (neg.f64 re) #s(literal 1 binary64))
(/.f64 re #s(literal -1 binary64))
(neg.f64 re)
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (log.f64 re)) #s(literal 8 binary64)) #s(literal 4 binary64))
(*.f64 (/.f64 (log.f64 re) #s(literal 4 binary64)) #s(literal 4 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (log.f64 re))) (log.f64 re))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 re)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 re)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (log.f64 re) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (log.f64 re) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(*.f64 (/.f64 (neg.f64 (log.f64 re)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(*.f64 (/.f64 (log.f64 re) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 re)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 (log.f64 re) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))
(*.f64 (/.f64 (neg.f64 (log.f64 re)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 re))) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (log.f64 re))) #s(literal 2 binary64))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 re)) #s(literal 2 binary64)) #s(literal 4 binary64))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 re)) #s(literal -1 binary64)) #s(literal -2 binary64))
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 re)) #s(literal -1 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (log.f64 re))) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 re))) #s(literal 2 binary64))
(*.f64 (pow.f64 (log.f64 re) #s(literal 1/2 binary64)) (pow.f64 (log.f64 re) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (log.f64 re) #s(literal 0 binary64)) (log.f64 re))
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 re)) #s(literal 1 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (log.f64 re))
(*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 (log.f64 re)) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (log.f64 re)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 re)) #s(literal -2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 re)) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal -2 binary64) (log.f64 re)) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (log.f64 re)) #s(literal 1/2 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (log.f64 re))))
(*.f64 #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (log.f64 re)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1 binary64)) (neg.f64 (log.f64 re)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (log.f64 re))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 (log.f64 re)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 re) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (log.f64 re)))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 re))))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 re)))
(*.f64 (log.f64 re) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 re)) #s(literal 0 binary64)))
(*.f64 (log.f64 re) (pow.f64 (log.f64 re) #s(literal 0 binary64)))
(*.f64 (log.f64 re) (pow.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(*.f64 (log.f64 re) (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)))
(*.f64 (log.f64 re) #s(literal 1 binary64))
(*.f64 (neg.f64 (log.f64 re)) (pow.f64 #s(literal -1 binary64) #s(literal 1 binary64)))
(*.f64 (neg.f64 (log.f64 re)) (pow.f64 #s(literal -1 binary64) #s(literal -1 binary64)))
(*.f64 (neg.f64 (log.f64 re)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 re)))
(*.f64 #s(literal 1 binary64) (log.f64 re))
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 re)) #s(literal -1 binary64))
(pow.f64 (log.f64 re) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 re)) #s(literal 8 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 re)) #s(literal -4 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 (log.f64 re) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 re)) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (log.f64 re) (log.f64 re)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (log.f64 re))
(/.f64 (+.f64 (pow.f64 (log.f64 re) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (+.f64 (*.f64 (log.f64 re) (log.f64 re)) (-.f64 (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (log.f64 re) #s(literal 0 binary64)))))
(/.f64 (/.f64 (log.f64 re) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(/.f64 (/.f64 (neg.f64 (log.f64 re)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 #s(literal -2 binary64) (log.f64 re)) (*.f64 (/.f64 #s(literal -2 binary64) (log.f64 re)) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal -2 binary64) (log.f64 re)) (/.f64 #s(literal 1 binary64) (log.f64 re))))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 re)) (/.f64 #s(literal 1 binary64) (log.f64 re))) #s(literal 0 binary64)) (/.f64 #s(literal -2 binary64) (log.f64 re)))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 re)) (/.f64 #s(literal 1 binary64) (log.f64 re))) #s(literal 0 binary64)) (/.f64 #s(literal 2 binary64) (log.f64 re)))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (log.f64 re)) (*.f64 (/.f64 #s(literal 2 binary64) (log.f64 re)) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) (log.f64 re)) (/.f64 #s(literal 1 binary64) (log.f64 re))))
(/.f64 (+.f64 (*.f64 (log.f64 re) (/.f64 #s(literal 1 binary64) (log.f64 re))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 re)))
(/.f64 (+.f64 (*.f64 (neg.f64 (log.f64 re)) (/.f64 #s(literal 1 binary64) (log.f64 re))) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 re)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 re)) #s(literal 1/2 binary64))
(/.f64 #s(literal 8 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (log.f64 re))))
(/.f64 #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (log.f64 re))))
(/.f64 (/.f64 #s(literal -2 binary64) (log.f64 re)) (*.f64 (/.f64 #s(literal -2 binary64) (log.f64 re)) (/.f64 #s(literal 1 binary64) (log.f64 re))))
(/.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (log.f64 re))))
(/.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (log.f64 re))))
(/.f64 (/.f64 #s(literal 2 binary64) (log.f64 re)) (*.f64 (/.f64 #s(literal 2 binary64) (log.f64 re)) (/.f64 #s(literal 1 binary64) (log.f64 re))))
(/.f64 (*.f64 #s(literal -2 binary64) (log.f64 re)) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 re)) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (log.f64 re)))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 re)) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 re)) (/.f64 #s(literal 1 binary64) (log.f64 re))))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (log.f64 re)))
(/.f64 (log.f64 re) (pow.f64 (log.f64 re) #s(literal 0 binary64)))
(/.f64 (log.f64 re) #s(literal 1 binary64))
(/.f64 (neg.f64 (log.f64 re)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 re)) (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 re)) (/.f64 #s(literal 1 binary64) (log.f64 re))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 re)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 re)))
(neg.f64 (neg.f64 (log.f64 re)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 re)) (*.f64 #s(literal -1/2 binary64) (log.f64 re)))
(-.f64 (log.f64 #s(literal 1 binary64)) (neg.f64 (log.f64 re)))
(-.f64 (log.f64 re) #s(literal 0 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 re))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 re)) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 re))) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 re))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 re)) (*.f64 #s(literal 1/2 binary64) (log.f64 re)))
(+.f64 #s(literal 0 binary64) (log.f64 re))
(+.f64 (log.f64 re) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 re))))
(+.f64 (log.f64 re) #s(literal 0 binary64))
(log.f64 re)
(neg.f64 im)
(log.f64 im)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 re)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 (/.f64 #s(literal -2 binary64) (log.f64 re)) #s(literal 8 binary64)) #s(literal 4 binary64))
(*.f64 (/.f64 (/.f64 #s(literal -2 binary64) (log.f64 re)) #s(literal -4 binary64)) #s(literal -2 binary64))
(*.f64 (/.f64 (/.f64 #s(literal -2 binary64) (log.f64 re)) #s(literal 4 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 re)) #s(literal 4 binary64)) #s(literal 4 binary64))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 re)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (log.f64 re)))) (/.f64 #s(literal -1 binary64) (log.f64 re)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 re)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 re)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 re)) #s(literal -2 binary64)) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 re))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (log.f64 re))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (log.f64 re))) #s(literal 1/4 binary64))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 re)) #s(literal -2 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 re)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 re)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 re)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 re)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 re)) #s(literal 2 binary64)) #s(literal -2 binary64))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 re)) #s(literal 2 binary64)) #s(literal 2 binary64))
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(/.f64 (log.f64 re) #s(literal -1 binary64))
(/.f64 (neg.f64 (log.f64 re)) (pow.f64 (neg.f64 (log.f64 re)) #s(literal 0 binary64)))
(/.f64 (neg.f64 (log.f64 re)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 re)) (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 re)) (/.f64 #s(literal -1 binary64) (log.f64 re))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 re)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 re)))
(neg.f64 (log.f64 re))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (+.f64 re re)))
(-.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 re)) (*.f64 #s(literal 1/2 binary64) (log.f64 re)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 re)))
(-.f64 (log.f64 #s(literal 1 binary64)) (log.f64 re))
(-.f64 (neg.f64 (log.f64 re)) #s(literal 0 binary64))
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 re))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 re))) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (log.f64 re))) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (log.f64 re))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 re)) (*.f64 #s(literal -1/2 binary64) (log.f64 re)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) re)))
(+.f64 (log.f64 #s(literal 1 binary64)) (neg.f64 (log.f64 re)))
(+.f64 #s(literal 0 binary64) (neg.f64 (log.f64 re)))
(+.f64 (neg.f64 (log.f64 re)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (log.f64 re))))
(+.f64 (neg.f64 (log.f64 re)) #s(literal 0 binary64))
(log.f64 (/.f64 #s(literal 1 binary64) re))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 re))
#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im))
(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re)))
(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im)))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (log.f64 re)) #s(literal 8 binary64)) #s(literal 4 binary64))
(*.f64 (/.f64 (log.f64 re) #s(literal 4 binary64)) #s(literal 4 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (log.f64 re))) (log.f64 re))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 re)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 re)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (log.f64 re) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (log.f64 re) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(*.f64 (/.f64 (neg.f64 (log.f64 re)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(*.f64 (/.f64 (log.f64 re) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 re)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 (log.f64 re) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))
(*.f64 (/.f64 (neg.f64 (log.f64 re)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 re))) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (log.f64 re))) #s(literal 2 binary64))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 re)) #s(literal 2 binary64)) #s(literal 4 binary64))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 re)) #s(literal -1 binary64)) #s(literal -2 binary64))
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 re)) #s(literal -1 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (log.f64 re))) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 re))) #s(literal 2 binary64))
(*.f64 (pow.f64 (log.f64 re) #s(literal 1/2 binary64)) (pow.f64 (log.f64 re) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (log.f64 re) #s(literal 0 binary64)) (log.f64 re))
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 re)) #s(literal 1 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (log.f64 re))
(*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 (log.f64 re)) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (log.f64 re)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 re)) #s(literal -2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 re)) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal -2 binary64) (log.f64 re)) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (log.f64 re)) #s(literal 1/2 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (log.f64 re))))
(*.f64 #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (log.f64 re)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1 binary64)) (neg.f64 (log.f64 re)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (log.f64 re))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 (log.f64 re)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 re) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (log.f64 re)))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 re))))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 re)))
(*.f64 (log.f64 re) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 re)) #s(literal 0 binary64)))
(*.f64 (log.f64 re) (pow.f64 (log.f64 re) #s(literal 0 binary64)))
(*.f64 (log.f64 re) (pow.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(*.f64 (log.f64 re) (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)))
(*.f64 (log.f64 re) #s(literal 1 binary64))
(*.f64 (neg.f64 (log.f64 re)) (pow.f64 #s(literal -1 binary64) #s(literal 1 binary64)))
(*.f64 (neg.f64 (log.f64 re)) (pow.f64 #s(literal -1 binary64) #s(literal -1 binary64)))
(*.f64 (neg.f64 (log.f64 re)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 re)))
(*.f64 #s(literal 1 binary64) (log.f64 re))
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 re)) #s(literal -1 binary64))
(pow.f64 (log.f64 re) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 re)) #s(literal 8 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 re)) #s(literal -4 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 (log.f64 re) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 re)) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (log.f64 re) (log.f64 re)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (log.f64 re))
(/.f64 (+.f64 (pow.f64 (log.f64 re) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (+.f64 (*.f64 (log.f64 re) (log.f64 re)) (-.f64 (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (log.f64 re) #s(literal 0 binary64)))))
(/.f64 (/.f64 (log.f64 re) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(/.f64 (/.f64 (neg.f64 (log.f64 re)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 #s(literal -2 binary64) (log.f64 re)) (*.f64 (/.f64 #s(literal -2 binary64) (log.f64 re)) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal -2 binary64) (log.f64 re)) (/.f64 #s(literal 1 binary64) (log.f64 re))))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 re)) (/.f64 #s(literal 1 binary64) (log.f64 re))) #s(literal 0 binary64)) (/.f64 #s(literal -2 binary64) (log.f64 re)))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 re)) (/.f64 #s(literal 1 binary64) (log.f64 re))) #s(literal 0 binary64)) (/.f64 #s(literal 2 binary64) (log.f64 re)))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (log.f64 re)) (*.f64 (/.f64 #s(literal 2 binary64) (log.f64 re)) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) (log.f64 re)) (/.f64 #s(literal 1 binary64) (log.f64 re))))
(/.f64 (+.f64 (*.f64 (log.f64 re) (/.f64 #s(literal 1 binary64) (log.f64 re))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 re)))
(/.f64 (+.f64 (*.f64 (neg.f64 (log.f64 re)) (/.f64 #s(literal 1 binary64) (log.f64 re))) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 re)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 re)) #s(literal 1/2 binary64))
(/.f64 #s(literal 8 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (log.f64 re))))
(/.f64 #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (log.f64 re))))
(/.f64 (/.f64 #s(literal -2 binary64) (log.f64 re)) (*.f64 (/.f64 #s(literal -2 binary64) (log.f64 re)) (/.f64 #s(literal 1 binary64) (log.f64 re))))
(/.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (log.f64 re))))
(/.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (log.f64 re))))
(/.f64 (/.f64 #s(literal 2 binary64) (log.f64 re)) (*.f64 (/.f64 #s(literal 2 binary64) (log.f64 re)) (/.f64 #s(literal 1 binary64) (log.f64 re))))
(/.f64 (*.f64 #s(literal -2 binary64) (log.f64 re)) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 re)) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (log.f64 re)))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 re)) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 re)) (/.f64 #s(literal 1 binary64) (log.f64 re))))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (log.f64 re)))
(/.f64 (log.f64 re) (pow.f64 (log.f64 re) #s(literal 0 binary64)))
(/.f64 (log.f64 re) #s(literal 1 binary64))
(/.f64 (neg.f64 (log.f64 re)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 re)) (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 re)) (/.f64 #s(literal 1 binary64) (log.f64 re))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 re)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 re)))
(neg.f64 (neg.f64 (log.f64 re)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 re)) (*.f64 #s(literal -1/2 binary64) (log.f64 re)))
(-.f64 (log.f64 #s(literal 1 binary64)) (neg.f64 (log.f64 re)))
(-.f64 (log.f64 re) #s(literal 0 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 re))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 re)) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 re))) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 re))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 re)) (*.f64 #s(literal 1/2 binary64) (log.f64 re)))
(+.f64 #s(literal 0 binary64) (log.f64 re))
(+.f64 (log.f64 re) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 re))))
(+.f64 (log.f64 re) #s(literal 0 binary64))
(log.f64 re)
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 re))

eval24.0ms (1.5%)

Memory
-5.2MiB live, 25.5MiB allocated; 3ms collecting garbage
Compiler

Compiled 5 661 to 1 324 computations (76.6% saved)

prune7.0ms (0.4%)

Memory
0.5MiB live, 8.3MiB allocated; 0ms collecting garbage
Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New4574461
Fresh011
Picked145
Done011
Total45810468
Accuracy
99.4%
Counts
468 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.2%
(*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))))
0.0%
(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re)))
0.0%
(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im)))
10.0%
#s(approx (log (sqrt (+ (* re re) (* im im)))) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (log.f64 re))))
10.0%
#s(approx (log (sqrt (+ (* re re) (* im im)))) (-.f64 (log.f64 (*.f64 re #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64))))
6.0%
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 re)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 re)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))))
6.0%
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 re))) #s(literal 1 binary64)))))
1.3%
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 #s(approx re #s(literal 0 binary64))))
10.0%
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 re))
98.9%
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
Compiler

Compiled 106 to 58 computations (45.3% saved)

series143.0ms (8.6%)

Memory
16.2MiB live, 116.0MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01931057
Stop Event
iter-limit
Counts
29 → 44
Calls
Call 1
Inputs
re
#s(literal 0 binary64)
#s(approx re #s(literal 0 binary64))
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal -1 binary64)
(log.f64 re)
(/.f64 #s(literal -1 binary64) #s(literal 2 binary64))
(*.f64 re #s(literal 2 binary64))
(neg.f64 (log.f64 re))
(/.f64 #s(literal -1 binary64) (log.f64 re))
(log.f64 #s(literal 2 binary64))
(log.f64 (*.f64 re #s(literal 2 binary64)))
(-.f64 (log.f64 (*.f64 re #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (-.f64 (log.f64 (*.f64 re #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (log.f64 re))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (log.f64 re)))
(log.f64 (neg.f64 (log.f64 re)))
(pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 re)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 re)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 re)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
(*.f64 (log.f64 (neg.f64 (log.f64 re))) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 re))) #s(literal 1 binary64)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (log.f64 re))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 re)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 re)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 re)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 re)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 re))) #s(literal 1 binary64))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 re))) #s(literal 1 binary64)))))
(log.f64 #s(approx re #s(literal 0 binary64)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 #s(approx re #s(literal 0 binary64))))
Outputs
#s(approx re #s(literal 0 binary64))
#s(approx re re)
#s(approx (log re) (log.f64 re))
#s(approx (* re 2) (*.f64 #s(literal 2 binary64) re))
#s(approx (neg (log re)) (*.f64 #s(literal -1 binary64) (log.f64 re)))
#s(approx (/ -1 (log re)) (/.f64 #s(literal -1 binary64) (log.f64 re)))
#s(approx (log (* re 2)) (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 re)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 6 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))))))
#s(approx (/ 2 (log re)) (/.f64 #s(literal 2 binary64) (log.f64 re)))
#s(approx (log (neg (log re))) (log.f64 (neg.f64 (log.f64 re))))
#s(approx (pow (/ -1 (log re)) (/ -1 2)) (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 re)) #s(literal -1/2 binary64)))
#s(approx (* (pow (/ -1 (log re)) (/ -1 2)) (pow (/ -1 (log re)) (/ -1 2))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 re)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
#s(approx (* -1 (* (pow (/ -1 (log re)) (/ -1 2)) (pow (/ -1 (log re)) (/ -1 2)))) (*.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 re)) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
#s(approx (log re) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))))
#s(approx (neg (log re)) (log.f64 (/.f64 #s(literal 1 binary64) re)))
#s(approx (/ -1 (log re)) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))))
#s(approx (log (* re 2)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (/ 2 (log re)) (/.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))))
#s(approx (log (neg (log re))) (log.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))))))
#s(approx (pow (/ -1 (log re)) (/ -1 2)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) #s(literal -1/2 binary64)))
#s(approx (* (pow (/ -1 (log re)) (/ -1 2)) (pow (/ -1 (log re)) (/ -1 2))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
#s(approx (* -1 (* (pow (/ -1 (log re)) (/ -1 2)) (pow (/ -1 (log re)) (/ -1 2)))) (*.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 6 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64)))) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64)))) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
Calls

6 calls:

TimeVariablePoint
50.0ms
re
0
45.0ms
re
-inf
36.0ms
re
inf
2.0ms
im
inf
0.0ms
im
0

rewrite152.0ms (9.2%)

Memory
-6.2MiB live, 57.7MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035199
054141
1172125
2634125
33951125
04054125
Stop Event
iter-limit
node-limit
iter-limit
Counts
29 → 1 536
Calls
Call 1
Inputs
re
#s(literal 0 binary64)
#s(approx re #s(literal 0 binary64))
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal -1 binary64)
(log.f64 re)
(/.f64 #s(literal -1 binary64) #s(literal 2 binary64))
(*.f64 re #s(literal 2 binary64))
(neg.f64 (log.f64 re))
(/.f64 #s(literal -1 binary64) (log.f64 re))
(log.f64 #s(literal 2 binary64))
(log.f64 (*.f64 re #s(literal 2 binary64)))
(-.f64 (log.f64 (*.f64 re #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (-.f64 (log.f64 (*.f64 re #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (log.f64 re))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (log.f64 re)))
(log.f64 (neg.f64 (log.f64 re)))
(pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 re)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 re)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 re)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
(*.f64 (log.f64 (neg.f64 (log.f64 re))) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 re))) #s(literal 1 binary64)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (log.f64 re))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 re)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 re)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 re)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 re)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 re))) #s(literal 1 binary64))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 re))) #s(literal 1 binary64)))))
(log.f64 #s(approx re #s(literal 0 binary64)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 #s(approx re #s(literal 0 binary64))))
Outputs
re
#s(literal 0 binary64)
#s(approx re #s(literal 0 binary64))
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal -1 binary64)
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (neg.f64 (log.f64 re))))) (neg.f64 (sqrt.f64 (neg.f64 (log.f64 re)))))
(*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 re)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 re)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (neg.f64 (log.f64 re)) (/.f64 #s(literal -1 binary64) (log.f64 re)))) (*.f64 #s(literal -1/2 binary64) (-.f64 (neg.f64 (log.f64 re)) (/.f64 #s(literal 1 binary64) (log.f64 re)))))) (*.f64 #s(literal -1/2 binary64) (-.f64 (neg.f64 (log.f64 re)) (/.f64 #s(literal 1 binary64) (log.f64 re)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (+.f64 re re)) (log.f64 #s(literal 1/2 binary64)))) (log.f64 #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 re)) (*.f64 #s(literal 1/2 binary64) (log.f64 re)))) (*.f64 #s(literal 1/2 binary64) (log.f64 re)))
(*.f64 (*.f64 (log.f64 re) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (neg.f64 (log.f64 re))))) (neg.f64 (sqrt.f64 (neg.f64 (log.f64 re)))))
(*.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (neg.f64 (log.f64 re)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 re)) #s(literal -2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (+.f64 re re)))) (log.f64 (+.f64 re re)))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (log.f64 re)))) (*.f64 (neg.f64 (sqrt.f64 (neg.f64 (log.f64 re)))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (log.f64 re)))) (neg.f64 (neg.f64 (sqrt.f64 (neg.f64 (log.f64 re))))))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (log.f64 re)))) (sqrt.f64 (neg.f64 (log.f64 re))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 re)) #s(literal 2 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (+.f64 re re)))) (log.f64 (+.f64 re re)))
(*.f64 #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (log.f64 re)))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 re))) (neg.f64 (sqrt.f64 (neg.f64 (log.f64 re)))))
(*.f64 (neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 re)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 re)) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 re) #s(literal 2 binary64)))
(*.f64 (neg.f64 (log.f64 re)) #s(literal -1 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 re)) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 re)) #s(literal -1/2 binary64))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (log.f64 re)) #s(literal 2 binary64)))
(*.f64 (log.f64 re) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 re)))
(*.f64 #s(literal 1 binary64) (log.f64 re))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 re)))
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 re)) #s(literal -1 binary64))
(pow.f64 (log.f64 re) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 re)) #s(literal 8 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 re)) #s(literal 4 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 8 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 re))) #s(literal 4 binary64))
(/.f64 (/.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 re)) (/.f64 #s(literal 1 binary64) (log.f64 re))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 re)))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 re)) (/.f64 #s(literal -2 binary64) (log.f64 re))) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (log.f64 re)))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 re)) (/.f64 #s(literal 2 binary64) (log.f64 re))) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (log.f64 re)))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 re)) (/.f64 #s(literal 4 binary64) (log.f64 re))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (log.f64 re)))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 re))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 re)))) (pow.f64 (log.f64 re) #s(literal -2 binary64)))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (log.f64 re)) (/.f64 #s(literal 1 binary64) (log.f64 re)))) (/.f64 #s(literal -2 binary64) (log.f64 re)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (log.f64 re) (/.f64 #s(literal 1 binary64) (log.f64 re)))) (/.f64 #s(literal 2 binary64) (log.f64 re)))
(/.f64 (+.f64 (*.f64 (neg.f64 (log.f64 re)) #s(literal -2 binary64)) (*.f64 (neg.f64 (log.f64 re)) #s(literal -2 binary64))) #s(literal 4 binary64))
(/.f64 (+.f64 (*.f64 (neg.f64 (log.f64 re)) #s(literal 2 binary64)) (*.f64 (log.f64 re) #s(literal -2 binary64))) #s(literal -4 binary64))
(/.f64 (+.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)) (*.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (log.f64 re)) (/.f64 #s(literal -2 binary64) (log.f64 re)))) (*.f64 (/.f64 #s(literal -2 binary64) (log.f64 re)) #s(literal -2 binary64)))
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 (log.f64 re) (/.f64 #s(literal -2 binary64) (log.f64 re)))) (*.f64 (/.f64 #s(literal -2 binary64) (log.f64 re)) #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (log.f64 re))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (log.f64 re)))) (*.f64 (/.f64 #s(literal -2 binary64) (log.f64 re)) (/.f64 #s(literal 4 binary64) (log.f64 re))))
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 (neg.f64 (log.f64 re)) (/.f64 #s(literal 2 binary64) (log.f64 re)))) (*.f64 (/.f64 #s(literal 2 binary64) (log.f64 re)) #s(literal -2 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (log.f64 re) (/.f64 #s(literal 2 binary64) (log.f64 re)))) (/.f64 #s(literal 4 binary64) (log.f64 re)))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (log.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 4 binary64) (log.f64 re)))) (*.f64 (/.f64 #s(literal 4 binary64) (log.f64 re)) (/.f64 #s(literal 1 binary64) (log.f64 re))))
(/.f64 (+.f64 #s(literal -4 binary64) (*.f64 (neg.f64 (log.f64 re)) (/.f64 #s(literal 4 binary64) (log.f64 re)))) (*.f64 (/.f64 #s(literal 4 binary64) (log.f64 re)) #s(literal -2 binary64)))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (log.f64 re) (/.f64 #s(literal 4 binary64) (log.f64 re)))) (*.f64 (/.f64 #s(literal 4 binary64) (log.f64 re)) #s(literal 2 binary64)))
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(/.f64 #s(literal 16 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (log.f64 re))))
(/.f64 #s(literal -8 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (log.f64 re)) #s(literal 4 binary64)))
(/.f64 #s(literal -8 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal -2 binary64) (log.f64 re))))
(/.f64 #s(literal -4 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (log.f64 re)) #s(literal -2 binary64)))
(/.f64 #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (log.f64 re))))
(/.f64 #s(literal -4 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (log.f64 re))))
(/.f64 #s(literal -4 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (log.f64 re)) #s(literal 2 binary64)))
(/.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 (log.f64 re)) #s(literal 2 binary64)) #s(literal -2 binary64))
(/.f64 (/.f64 #s(literal 4 binary64) (log.f64 re)) (*.f64 (/.f64 #s(literal -2 binary64) (log.f64 re)) (/.f64 #s(literal -2 binary64) (log.f64 re))))
(/.f64 (/.f64 #s(literal 4 binary64) (log.f64 re)) (*.f64 (/.f64 #s(literal 2 binary64) (log.f64 re)) (/.f64 #s(literal 2 binary64) (log.f64 re))))
(/.f64 (-.f64 (*.f64 (log.f64 (+.f64 re re)) (log.f64 (+.f64 re re))) (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)))) (-.f64 (log.f64 (+.f64 re re)) (log.f64 #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (log.f64 (+.f64 re re)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (log.f64 (+.f64 re re)) (log.f64 (+.f64 re re))) (-.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (*.f64 (log.f64 (+.f64 re re)) (log.f64 #s(literal 1/2 binary64))))))
(/.f64 #s(literal 8 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (log.f64 re)) #s(literal 4 binary64)))
(/.f64 #s(literal 8 binary64) (*.f64 (/.f64 #s(literal 4 binary64) (log.f64 re)) #s(literal 2 binary64)))
(/.f64 #s(literal 8 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (log.f64 re))))
(/.f64 #s(literal 8 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (log.f64 re))))
(/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 re)) #s(literal 4 binary64)))
(/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (log.f64 re)) #s(literal -2 binary64)))
(/.f64 #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (log.f64 re))))
(/.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (log.f64 re)))
(/.f64 (-.f64 (*.f64 (log.f64 (+.f64 re re)) (log.f64 (+.f64 re re))) (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)))) (+.f64 (log.f64 (+.f64 re re)) (log.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 re re)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (log.f64 (+.f64 re re)) (log.f64 (+.f64 re re))) (+.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (*.f64 (log.f64 (+.f64 re re)) (log.f64 #s(literal 2 binary64))))))
(/.f64 (/.f64 #s(literal -2 binary64) (log.f64 re)) (*.f64 (/.f64 #s(literal -2 binary64) (log.f64 re)) (/.f64 #s(literal 1 binary64) (log.f64 re))))
(/.f64 (/.f64 #s(literal -2 binary64) (log.f64 re)) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 re)) (/.f64 #s(literal -2 binary64) (log.f64 re))))
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (log.f64 re)))
(/.f64 (neg.f64 (log.f64 re)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 2 binary64) (log.f64 re)) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 re)) (/.f64 #s(literal 2 binary64) (log.f64 re))))
(/.f64 (/.f64 #s(literal 2 binary64) (log.f64 re)) (*.f64 (/.f64 #s(literal 2 binary64) (log.f64 re)) (/.f64 #s(literal 1 binary64) (log.f64 re))))
(/.f64 (log.f64 re) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 re)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 re)))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (log.f64 re)))
(neg.f64 (neg.f64 (log.f64 re)))
(-.f64 (log.f64 (*.f64 #s(literal -2 binary64) re)) (log.f64 #s(literal -2 binary64)))
(-.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (neg.f64 (log.f64 re)) (/.f64 #s(literal 1 binary64) (log.f64 re)))) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 re)) (/.f64 #s(literal -1/2 binary64) (log.f64 re)))))
(-.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (neg.f64 (log.f64 re)) (/.f64 #s(literal 1 binary64) (log.f64 re)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (neg.f64 (log.f64 re)) (/.f64 #s(literal -1 binary64) (log.f64 re)))) #s(literal -1 binary64)))
(-.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (neg.f64 (log.f64 re)) (/.f64 #s(literal 1 binary64) (log.f64 re)))) (-.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 re)) (/.f64 #s(literal -1/2 binary64) (log.f64 re))))
(-.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (neg.f64 (log.f64 re)) (/.f64 #s(literal -1 binary64) (log.f64 re)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 re)) (/.f64 #s(literal -1/2 binary64) (log.f64 re))))
(-.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (+.f64 re re))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 re)) (*.f64 #s(literal -1/2 binary64) (log.f64 re)))
(-.f64 (log.f64 (+.f64 re re)) (log.f64 #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (+.f64 re re)))))
(+.f64 (*.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (log.f64 (+.f64 re re))))
(+.f64 (*.f64 #s(literal 1 binary64) (log.f64 (+.f64 re re))) (*.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/2 binary64))))
(+.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (log.f64 (+.f64 re re))) #s(literal -1 binary64)))
(+.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (log.f64 (+.f64 re re)) #s(literal 1 binary64)))
(+.f64 (*.f64 (log.f64 (+.f64 re re)) #s(literal 1 binary64)) (*.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (neg.f64 (log.f64 re)) (/.f64 #s(literal 1 binary64) (log.f64 re)))) (*.f64 #s(literal -1/2 binary64) (-.f64 (neg.f64 (log.f64 re)) (/.f64 #s(literal -1 binary64) (log.f64 re)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (neg.f64 (log.f64 re)) (/.f64 #s(literal -1 binary64) (log.f64 re)))) (*.f64 #s(literal -1/2 binary64) (-.f64 (neg.f64 (log.f64 re)) (/.f64 #s(literal 1 binary64) (log.f64 re)))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (neg.f64 (log.f64 (+.f64 re re)))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (+.f64 re re)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 re)) (*.f64 #s(literal 1/2 binary64) (log.f64 re)))
(+.f64 (log.f64 (+.f64 re re)) (log.f64 #s(literal 1/2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 re #s(literal 1/2 binary64))))
(+.f64 (log.f64 re) (*.f64 (log.f64 re) #s(literal 0 binary64)))
(+.f64 (log.f64 re) (*.f64 #s(literal 0 binary64) (log.f64 re)))
(+.f64 (log.f64 re) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (log.f64 re))))
(+.f64 (log.f64 re) (log.f64 #s(literal 1 binary64)))
(log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal -1 binary64)))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))
(log.f64 re)
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 re))
(log.f64 #s(approx re #s(literal 0 binary64)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 #s(approx re #s(literal 0 binary64))))

eval59.0ms (3.6%)

Memory
2.9MiB live, 53.6MiB allocated; 8ms collecting garbage
Compiler

Compiled 21 427 to 4 057 computations (81.1% saved)

prune12.0ms (0.7%)

Memory
1.9MiB live, 11.8MiB allocated; 1ms collecting garbage
Pruning

12 alts after pruning (4 fresh and 8 done)

PrunedKeptTotal
New9134917
Fresh000
Picked235
Done055
Total91512927
Accuracy
99.4%
Counts
927 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.2%
(*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))))
0.0%
(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re)))
0.0%
(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im)))
10.0%
#s(approx (log (sqrt (+ (* re re) (* im im)))) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (log.f64 re))))
10.0%
#s(approx (log (sqrt (+ (* re re) (* im im)))) (-.f64 (log.f64 (+.f64 re re)) (log.f64 #s(literal 2 binary64))))
6.0%
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (pow.f64 (E.f64) (neg.f64 (log.f64 (neg.f64 (log.f64 re))))) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (pow.f64 (E.f64) (neg.f64 (log.f64 (neg.f64 (log.f64 re))))) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))))
6.0%
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 re)) (/.f64 #s(literal -1/2 binary64) (log.f64 re))) (-.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 re)) (/.f64 #s(literal -1/2 binary64) (log.f64 re)))) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 re)) (/.f64 #s(literal -1/2 binary64) (log.f64 re))) (-.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 re)) (/.f64 #s(literal -1/2 binary64) (log.f64 re)))) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))))
6.0%
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 re))) #s(literal 1 binary64)))))
6.0%
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) #s(approx (* (pow (/ -1 (log re)) (/ -1 2)) (pow (/ -1 (log re)) (/ -1 2))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 re)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))
1.3%
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 #s(approx re #s(literal 0 binary64))))
10.0%
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 re))
98.9%
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
Compiler

Compiled 128 to 50 computations (60.9% saved)

regimes36.0ms (2.2%)

Memory
-7.2MiB live, 24.4MiB allocated; 1ms collecting garbage
Counts
20 → 1
Calls
Call 1
Inputs
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 re))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 #s(approx re #s(literal 0 binary64))))
(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im)))
(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re)))
(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) im)))
(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) re)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (log.f64 re))))
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 re)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (-.f64 (log.f64 (+.f64 re re)) (log.f64 #s(literal 2 binary64))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (-.f64 (log.f64 (*.f64 re #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 re))) #s(literal 1 binary64)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) #s(approx (* (pow (/ -1 (log re)) (/ -1 2)) (pow (/ -1 (log re)) (/ -1 2))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 re)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 re)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 re)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (pow.f64 (E.f64) (neg.f64 (log.f64 (neg.f64 (log.f64 re))))) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (pow.f64 (E.f64) (neg.f64 (log.f64 (neg.f64 (log.f64 re))))) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 re)) (/.f64 #s(literal -1/2 binary64) (log.f64 re))) (-.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 re)) (/.f64 #s(literal -1/2 binary64) (log.f64 re)))) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 re)) (/.f64 #s(literal -1/2 binary64) (log.f64 re))) (-.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 re)) (/.f64 #s(literal -1/2 binary64) (log.f64 re)))) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))))
Outputs
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
Calls

7 calls:

5.0ms
re
5.0ms
im
5.0ms
(+.f64 (*.f64 re re) (*.f64 im im))
5.0ms
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
4.0ms
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
Results
AccuracySegmentsBranch
98.9%1(*.f64 im im)
98.9%1(*.f64 re re)
98.9%1(+.f64 (*.f64 re re) (*.f64 im im))
98.9%1(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
98.9%1(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
98.9%1re
98.9%1im
Compiler

Compiled 223 to 95 computations (57.4% saved)

derivations12.0ms (0.7%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Stop Event
fuel
Compiler

Compiled 2 to 2 computations (0.0% saved)

preprocess10.0ms (0.6%)

Memory
-0.0MiB live, 7.7MiB allocated; 1ms collecting garbage
Symmetry

(abs re)

(abs im)

(sort re im)

Compiler

Compiled 27 to 25 computations (7.4% saved)

end0.0ms (0.0%)

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

Profiling

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