math.log/1 on complex, real part

Time bar (total: 2.4s)

analyze68.0ms (2.9%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
18.8%18.7%81.2%0.1%0%0%0%5
34.4%34.3%65.6%0.1%0%0%0%6
54.7%54.6%45.3%0.1%0%0%0%7
64.8%64.8%35.1%0.1%0%0%0%8
76.2%76.1%23.8%0.1%0%0%0%9
81.8%81.8%18.1%0.1%0%0%0%10
87.8%87.7%12.2%0.1%0%0%0%11
90.8%90.7%9.2%0.1%0%0%0%12
Compiler

Compiled 12 to 8 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
Operation ival-mult, time spent: 12.0ms, 36.0% of total-time
Operation ival-log, time spent: 11.0ms, 33.0% of total-time
Operation ival-sqrt, time spent: 6.0ms, 18.0% of total-time
Operation ival-add, time spent: 4.0ms, 12.0% of total-time
Operation const, time spent: 1.0ms, 3.0% of total-time

sample1.2s (51.4%)

Results
1.2s8255×256valid
0.0ms256valid
Precisions
Click to see histograms. Total time spent on operations: 441.0ms
Operation ival-log, time spent: 171.0ms, 39.0% of total-time
Operation ival-mult, time spent: 136.0ms, 31.0% of total-time
Operation ival-sqrt, time spent: 72.0ms, 16.0% of total-time
Operation ival-add, time spent: 53.0ms, 12.0% of total-time
Operation const, time spent: 9.0ms, 2.0% of total-time
Bogosity

preprocess137.0ms (5.7%)

Algorithm
egg-herbie
Rules
52×fmm-def
45×fma-define
15×distribute-lft-neg-in
15×neg-sub0
12×sub-neg
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1150-1(1.1001400011403861e-181 6.346767970684745e-157)(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
00-0-(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
00-0-im
00-0-(*.f64 im im)
00-0-(*.f64 re re)
00-0-re
00-0-(+.f64 (*.f64 re re) (*.f64 im im))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028127
155127
2102127
3189127
4286127
5325127
6335127
Stop Event
saturated
Calls
Call 1
Inputs
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
(log.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im))))
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im)))))
(neg.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im)))))
(neg.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im))))))
(log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re))))
Outputs
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
(log.f64 (hypot.f64 re im))
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
(log.f64 (hypot.f64 re im))
(log.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im))))
(log.f64 (hypot.f64 re im))
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im)))))
(log.f64 (hypot.f64 re im))
(neg.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im)))))
(neg.f64 (log.f64 (hypot.f64 re im)))
(neg.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im))))))
(neg.f64 (log.f64 (hypot.f64 re im)))
(log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re))))
(log.f64 (hypot.f64 re im))
Symmetry

(abs re)

(abs im)

(sort re im)

Compiler

Compiled 81 to 23 computations (71.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
Operation ival-mult, time spent: 11.0ms, 37.0% of total-time
Operation ival-log, time spent: 9.0ms, 30.0% of total-time
Operation ival-add, time spent: 5.0ms, 17.0% of total-time
Operation ival-sqrt, time spent: 4.0ms, 14.0% of total-time
Operation const, time spent: 1.0ms, 3.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(log.f64 (hypot.f64 re im))
Compiler

Compiled 6 to 4 computations (33.3% saved)

localize38.0ms (1.6%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
100.0%
(log.f64 (hypot.f64 re im))
Compiler

Compiled 12 to 5 computations (58.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
Operation composed, time spent: 9.0ms, 43.0% of total-time
Operation ival-log, time spent: 4.0ms, 19.0% of total-time
Operation ival-mult, time spent: 4.0ms, 19.0% of total-time
Operation ival-sqrt, time spent: 2.0ms, 10.0% of total-time
Operation ival-add, time spent: 1.0ms, 5.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

series7.0ms (0.3%)

Counts
1 → 24
Calls
Call 1
Inputs
#<alt (log.f64 (hypot.f64 re im))>
Outputs
#<alt (log.f64 im)>
#<alt (+.f64 (log.f64 im) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (+.f64 (log.f64 im) (*.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)))))))>
#<alt (+.f64 (log.f64 im) (*.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)))))))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (+.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)))))>
#<alt (+.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))))))>
#<alt (+.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)))))))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re)))>
#<alt (+.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)))))>
#<alt (+.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))))))>
#<alt (+.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)))))))>
#<alt (log.f64 re)>
#<alt (+.f64 (log.f64 re) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))>
#<alt (+.f64 (log.f64 re) (*.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)))))))>
#<alt (+.f64 (log.f64 re) (*.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)))))))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))>
#<alt (+.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)))))>
#<alt (+.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))))))>
#<alt (+.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)))))))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))>
#<alt (+.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)))))>
#<alt (+.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))))))>
#<alt (+.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:

TimeVariablePointExpression
1.0ms
im
@0
(log (sqrt (+ (* re re) (* im im))))
1.0ms
re
@0
(log (sqrt (+ (* re re) (* im im))))
1.0ms
re
@inf
(log (sqrt (+ (* re re) (* im im))))
1.0ms
im
@inf
(log (sqrt (+ (* re re) (* im im))))
0.0ms
im
@-inf
(log (sqrt (+ (* re re) (* im im))))

rewrite295.0ms (12.3%)

Algorithm
batch-egg-rewrite
Rules
305×log1p-expm1-u
305×expm1-log1p-u
291×add-exp-log
278×add-log-exp
278×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01017
18217
287217
Stop Event
node limit
Counts
1 → 50
Calls
Call 1
Inputs
(log.f64 (hypot.f64 re im))
Outputs
(+.f64 (log.f64 (hypot.f64 re im)) #s(literal 0 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 (hypot.f64 re im)))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (hypot.f64 re im)))) (log.f64 (cbrt.f64 (hypot.f64 re im))))
(+.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (hypot.f64 re im)))))
(+.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (log.f64 (sqrt.f64 (hypot.f64 re im))))
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))) #s(literal 1 binary64))
(*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64))
(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im)))
(*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (hypot.f64 re im))))
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 (hypot.f64 re im))))
(*.f64 #s(literal 1/2 binary64) (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (hypot.f64 re im))))
(*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) (log.f64 (hypot.f64 re im))))
(*.f64 #s(literal 3 binary64) (log.f64 (cbrt.f64 (hypot.f64 re im))))
(*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (log.f64 (hypot.f64 re im)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 (hypot.f64 re im)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 (hypot.f64 re im)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 5/2 binary64))) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3/2 binary64))) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 5 binary64))) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/6 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (hypot.f64 re im))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (hypot.f64 re im)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (hypot.f64 re im)))) (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (hypot.f64 re im))))) (-.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (log.f64 (cbrt.f64 (hypot.f64 re im)))) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (hypot.f64 re im)))) (log.f64 (cbrt.f64 (hypot.f64 re im)))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) #s(literal 3 binary64)) (pow.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) #s(literal 3 binary64))) (+.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (log.f64 (sqrt.f64 (hypot.f64 re im)))) (-.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (log.f64 (sqrt.f64 (hypot.f64 re im)))) (*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (log.f64 (sqrt.f64 (hypot.f64 re im)))))))
(/.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (log.f64 (sqrt.f64 (hypot.f64 re im)))) (*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (log.f64 (sqrt.f64 (hypot.f64 re im))))) (-.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (log.f64 (sqrt.f64 (hypot.f64 re im)))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))) (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im)))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (log.f64 (hypot.f64 re im))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (hypot.f64 re im)))) (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (hypot.f64 re im))))) (*.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (log.f64 (cbrt.f64 (hypot.f64 re im))))) (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (hypot.f64 re im)))) (log.f64 (cbrt.f64 (hypot.f64 re im)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))) (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im)))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))) #s(literal 1 binary64)))
(pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (log.f64 (hypot.f64 re im))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (hypot.f64 re im)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (log.f64 (hypot.f64 re im)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (hypot.f64 re im))))) (sqrt.f64 (log.f64 (log.f64 (hypot.f64 re im)))))
(sqrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64)))
(fabs.f64 (log.f64 (hypot.f64 re im)))
(cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (hypot.f64 re im))))
(log1p.f64 (+.f64 (hypot.f64 re im) #s(literal -1 binary64)))
(exp.f64 (log.f64 (log.f64 (hypot.f64 re im))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (log.f64 (hypot.f64 re im)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))) #s(literal 2 binary64)))

simplify39.0ms (1.7%)

Algorithm
egg-herbie
Rules
166×fma-define
85×associate-*r*
85×+-commutative
68×*-commutative
67×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02432946
15792946
221522946
Stop Event
unsound
Counts
74 → 90
Calls
Call 1
Inputs
(log.f64 im)
(+.f64 (log.f64 im) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 (log.f64 im) (*.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)))))))
(+.f64 (log.f64 im) (*.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)))))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(+.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))))))
(+.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)))))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re)))
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(+.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))))))
(+.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)))))))
(log.f64 re)
(+.f64 (log.f64 re) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 (log.f64 re) (*.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)))))))
(+.f64 (log.f64 re) (*.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)))))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) 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)))))
(+.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))))))
(+.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)))))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) 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)))))
(+.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))))))
(+.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)))))))
(+.f64 (log.f64 (hypot.f64 re im)) #s(literal 0 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 (hypot.f64 re im)))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (hypot.f64 re im)))) (log.f64 (cbrt.f64 (hypot.f64 re im))))
(+.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (hypot.f64 re im)))))
(+.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (log.f64 (sqrt.f64 (hypot.f64 re im))))
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))) #s(literal 1 binary64))
(*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64))
(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im)))
(*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (hypot.f64 re im))))
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 (hypot.f64 re im))))
(*.f64 #s(literal 1/2 binary64) (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (hypot.f64 re im))))
(*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) (log.f64 (hypot.f64 re im))))
(*.f64 #s(literal 3 binary64) (log.f64 (cbrt.f64 (hypot.f64 re im))))
(*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (log.f64 (hypot.f64 re im)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 (hypot.f64 re im)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 (hypot.f64 re im)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 5/2 binary64))) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3/2 binary64))) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 5 binary64))) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/6 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (hypot.f64 re im))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (hypot.f64 re im)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (hypot.f64 re im)))) (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (hypot.f64 re im))))) (-.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (log.f64 (cbrt.f64 (hypot.f64 re im)))) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (hypot.f64 re im)))) (log.f64 (cbrt.f64 (hypot.f64 re im)))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) #s(literal 3 binary64)) (pow.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) #s(literal 3 binary64))) (+.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (log.f64 (sqrt.f64 (hypot.f64 re im)))) (-.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (log.f64 (sqrt.f64 (hypot.f64 re im)))) (*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (log.f64 (sqrt.f64 (hypot.f64 re im)))))))
(/.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (log.f64 (sqrt.f64 (hypot.f64 re im)))) (*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (log.f64 (sqrt.f64 (hypot.f64 re im))))) (-.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (log.f64 (sqrt.f64 (hypot.f64 re im)))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))) (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im)))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (log.f64 (hypot.f64 re im))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (hypot.f64 re im)))) (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (hypot.f64 re im))))) (*.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (log.f64 (cbrt.f64 (hypot.f64 re im))))) (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (hypot.f64 re im)))) (log.f64 (cbrt.f64 (hypot.f64 re im)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))) (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im)))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))) #s(literal 1 binary64)))
(pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (log.f64 (hypot.f64 re im))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (hypot.f64 re im)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (log.f64 (hypot.f64 re im)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (hypot.f64 re im))))) (sqrt.f64 (log.f64 (log.f64 (hypot.f64 re im)))))
(sqrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64)))
(fabs.f64 (log.f64 (hypot.f64 re im)))
(cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (hypot.f64 re im))))
(log1p.f64 (+.f64 (hypot.f64 re im) #s(literal -1 binary64)))
(exp.f64 (log.f64 (log.f64 (hypot.f64 re im))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (log.f64 (hypot.f64 re im)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))) #s(literal 2 binary64)))
Outputs
(log.f64 im)
(+.f64 (log.f64 im) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 (log.f64 im) (*.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)))))))
(+.f64 (log.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 (log.f64 im) (*.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)))))))
(+.f64 (log.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 6 binary64)))) (/.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))
(neg.f64 (neg.f64 (log.f64 re)))
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(+.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))))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 re)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(+.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)))))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 re)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 120 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)))))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re)))
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eval39.0ms (1.6%)

Compiler

Compiled 1566 to 858 computations (45.2% saved)

prune30.0ms (1.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New88290
Fresh000
Picked011
Done000
Total88391
Accuracy
100.0%
Counts
91 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) (log.f64 (hypot.f64 re im))))
100.0%
(log.f64 (hypot.f64 re im))
98.8%
(log.f64 im)
Compiler

Compiled 20 to 15 computations (25% saved)

localize59.0ms (2.5%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
100.0%
(log.f64 (hypot.f64 re im))
99.6%
(*.f64 #s(literal 3 binary64) (log.f64 (hypot.f64 re im)))
99.5%
(*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) (log.f64 (hypot.f64 re im))))
Compiler

Compiled 31 to 14 computations (54.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
Operation composed, time spent: 9.0ms, 28.0% of total-time
Operation ival-log, time spent: 9.0ms, 28.0% of total-time
Operation ival-mult, time spent: 9.0ms, 28.0% of total-time
Operation ival-add, time spent: 2.0ms, 6.0% of total-time
Operation ival-sqrt, time spent: 2.0ms, 6.0% of total-time
Operation const, time spent: 1.0ms, 3.0% of total-time

series9.0ms (0.4%)

Counts
2 → 48
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) (log.f64 (hypot.f64 re im))))>
#<alt (*.f64 #s(literal 3 binary64) (log.f64 (hypot.f64 re im)))>
Outputs
#<alt (log.f64 im)>
#<alt (+.f64 (log.f64 im) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (+.f64 (log.f64 im) (*.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)))))))>
#<alt (+.f64 (log.f64 im) (*.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)))))))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (+.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)))))>
#<alt (+.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))))))>
#<alt (+.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)))))))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re)))>
#<alt (+.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)))))>
#<alt (+.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))))))>
#<alt (+.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)))))))>
#<alt (log.f64 re)>
#<alt (+.f64 (log.f64 re) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))>
#<alt (+.f64 (log.f64 re) (*.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)))))))>
#<alt (+.f64 (log.f64 re) (*.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)))))))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))>
#<alt (+.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)))))>
#<alt (+.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))))))>
#<alt (+.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)))))))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))>
#<alt (+.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)))))>
#<alt (+.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))))))>
#<alt (+.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)))))))>
#<alt (*.f64 #s(literal 3 binary64) (log.f64 im))>
#<alt (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) (log.f64 im)))>
#<alt (+.f64 (*.f64 #s(literal 3 binary64) (log.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 #s(literal 3 binary64) (log.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.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 6 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64)))))) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (+.f64 (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (*.f64 #s(literal -3/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (*.f64 #s(literal -3/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/240 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 3/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re)))>
#<alt (+.f64 (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (*.f64 #s(literal -3/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (*.f64 #s(literal -3/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/240 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 3/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 3 binary64) (log.f64 re))>
#<alt (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) (log.f64 re)))>
#<alt (+.f64 (*.f64 #s(literal 3 binary64) (log.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 #s(literal 3 binary64) (log.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.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 6 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64)))))) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))>
#<alt (+.f64 (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (+.f64 (*.f64 #s(literal -3/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (+.f64 (*.f64 #s(literal -3/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/240 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 3/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))>
#<alt (+.f64 (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (*.f64 #s(literal -3/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (*.f64 #s(literal -3/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/240 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 3/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))>
Calls

12 calls:

TimeVariablePointExpression
3.0ms
re
@inf
(* 3 (log (sqrt (+ (* re re) (* im im)))))
1.0ms
im
@inf
(* 3 (log (sqrt (+ (* re re) (* im im)))))
1.0ms
re
@0
(* 3 (log (sqrt (+ (* re re) (* im im)))))
1.0ms
im
@0
(* 3 (log (sqrt (+ (* re re) (* im im)))))
0.0ms
re
@-inf
(* 3 (log (sqrt (+ (* re re) (* im im)))))

rewrite71.0ms (3%)

Algorithm
batch-egg-rewrite
Rules
439×unpow-prod-down
402×log1p-expm1-u
402×expm1-log1p-u
388×add-exp-log
371×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01440
112740
2118940
Stop Event
node limit
Counts
2 → 47
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) (log.f64 (hypot.f64 re im))))
(*.f64 #s(literal 3 binary64) (log.f64 (hypot.f64 re im)))
Outputs
(+.f64 (log.f64 (hypot.f64 re im)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 (hypot.f64 re im)))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (hypot.f64 re im)))) (log.f64 (cbrt.f64 (hypot.f64 re im))))
(+.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (hypot.f64 re im)))))
(+.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (log.f64 (sqrt.f64 (hypot.f64 re im))))
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))) #s(literal 1 binary64))
(pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (log.f64 (hypot.f64 re im))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (hypot.f64 re im)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (log.f64 (hypot.f64 re im)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (hypot.f64 re im))))) (sqrt.f64 (log.f64 (log.f64 (hypot.f64 re im)))))
(sqrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64)))
(log.f64 (hypot.f64 re im))
(cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (hypot.f64 re im))))
(log1p.f64 (-.f64 (hypot.f64 re im) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (hypot.f64 re im))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (log.f64 (hypot.f64 re im)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))) #s(literal 2 binary64)))
(+.f64 (log.f64 (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im))))
(+.f64 #s(literal 0 binary64) (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im))) (log.f64 (hypot.f64 re im)))
(+.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64))) (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64))))
(+.f64 (log.f64 (pow.f64 (*.f64 (hypot.f64 re im) (cbrt.f64 (hypot.f64 re im))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (hypot.f64 re im))))
(+.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 5/2 binary64))) (log.f64 (sqrt.f64 (hypot.f64 re im))))
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))) #s(literal 1 binary64))
(pow.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))))) (sqrt.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))))))
(sqrt.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))))
(log1p.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))))) #s(literal 2 binary64)))

simplify102.0ms (4.3%)

Algorithm
egg-herbie
Rules
870×distribute-lft-in
716×distribute-rgt-in
462×fmm-def
337×associate-*r*
290×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02764413
16854301
218154221
342684221
Stop Event
node limit
Counts
95 → 214
Calls
Call 1
Inputs
(log.f64 im)
(+.f64 (log.f64 im) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 (log.f64 im) (*.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)))))))
(+.f64 (log.f64 im) (*.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)))))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(+.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))))))
(+.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)))))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re)))
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(+.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))))))
(+.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)))))))
(log.f64 re)
(+.f64 (log.f64 re) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 (log.f64 re) (*.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)))))))
(+.f64 (log.f64 re) (*.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)))))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) 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)))))
(+.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))))))
(+.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)))))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) 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)))))
(+.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))))))
(+.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)))))))
(*.f64 #s(literal 3 binary64) (log.f64 im))
(+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) (log.f64 im)))
(+.f64 (*.f64 #s(literal 3 binary64) (log.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(+.f64 (*.f64 #s(literal 3 binary64) (log.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.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 6 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64)))))) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))
(+.f64 (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (*.f64 #s(literal -3/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (*.f64 #s(literal -3/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/240 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 3/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re)))
(+.f64 (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (*.f64 #s(literal -3/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (*.f64 #s(literal -3/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/240 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 3/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(*.f64 #s(literal 3 binary64) (log.f64 re))
(+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) (log.f64 re)))
(+.f64 (*.f64 #s(literal 3 binary64) (log.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))))))
(+.f64 (*.f64 #s(literal 3 binary64) (log.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.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 6 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64)))))) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))))))
(*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))
(+.f64 (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (+.f64 (*.f64 #s(literal -3/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (+.f64 (*.f64 #s(literal -3/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/240 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 3/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
(*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+.f64 (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (*.f64 #s(literal -3/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (*.f64 #s(literal -3/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/240 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 3/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
(+.f64 (log.f64 (hypot.f64 re im)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 (hypot.f64 re im)))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (hypot.f64 re im)))) (log.f64 (cbrt.f64 (hypot.f64 re im))))
(+.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (hypot.f64 re im)))))
(+.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (log.f64 (sqrt.f64 (hypot.f64 re im))))
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))) #s(literal 1 binary64))
(pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (log.f64 (hypot.f64 re im))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (hypot.f64 re im)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (log.f64 (hypot.f64 re im)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (hypot.f64 re im))))) (sqrt.f64 (log.f64 (log.f64 (hypot.f64 re im)))))
(sqrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64)))
(log.f64 (hypot.f64 re im))
(cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (hypot.f64 re im))))
(log1p.f64 (-.f64 (hypot.f64 re im) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (hypot.f64 re im))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (log.f64 (hypot.f64 re im)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))) #s(literal 2 binary64)))
(+.f64 (log.f64 (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im))))
(+.f64 #s(literal 0 binary64) (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im))) (log.f64 (hypot.f64 re im)))
(+.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64))) (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64))))
(+.f64 (log.f64 (pow.f64 (*.f64 (hypot.f64 re im) (cbrt.f64 (hypot.f64 re im))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (hypot.f64 re im))))
(+.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 5/2 binary64))) (log.f64 (sqrt.f64 (hypot.f64 re im))))
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))) #s(literal 1 binary64))
(pow.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))))) (sqrt.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))))))
(sqrt.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))))
(log1p.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))))) #s(literal 2 binary64)))
Outputs
(log.f64 im)
(+.f64 (log.f64 im) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) (log.f64 im))
(+.f64 (log.f64 im) (*.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)))))))
(+.f64 (log.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (log.f64 im))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) (fma.f64 (pow.f64 re #s(literal 4 binary64)) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (log.f64 im)))
(+.f64 (log.f64 im) (*.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)))))))
(+.f64 (log.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 6 binary64)))) (/.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.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) (pow.f64 im #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (log.f64 im))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (log.f64 im))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))
(neg.f64 (neg.f64 (log.f64 re)))
(log.f64 re)
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (log.f64 re))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (log.f64 re))
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 re)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (log.f64 re)))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (log.f64 re))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (log.f64 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 1/720 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)))))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 re)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 120 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)))))))
(+.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 120 binary64)) (pow.f64 re #s(literal 6 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))) (log.f64 re))
(+.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (log.f64 re)) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 6 binary64))) (pow.f64 re #s(literal 6 binary64))))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (log.f64 re))) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 6 binary64))) (pow.f64 re #s(literal 6 binary64))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re)))
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)))
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #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 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) re)))
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(-.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal -1 binary64) re)))
(-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal -1 binary64) re)))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 4 binary64)) (/.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))))) (log.f64 (/.f64 #s(literal -1 binary64) 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 1/720 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)))))))
(fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 120 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)))))))
(-.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 120 binary64)) (pow.f64 re #s(literal 6 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))) (log.f64 (/.f64 #s(literal -1 binary64) re)))
(-.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 6 binary64))) (pow.f64 re #s(literal 6 binary64))))) (log.f64 (/.f64 #s(literal -1 binary64) re)))
(log.f64 re)
(neg.f64 (neg.f64 (log.f64 re)))
(+.f64 (log.f64 re) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (log.f64 re))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (log.f64 re))
(+.f64 (log.f64 re) (*.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)))))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 re)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (log.f64 re)))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (log.f64 re))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (log.f64 re)))
(+.f64 (log.f64 re) (*.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)))))))
(+.f64 (log.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 6 binary64)))) (/.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.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) (pow.f64 re #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (log.f64 re))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 6 binary64))) (/.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (log.f64 re))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))
(log.f64 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)))))
(+.f64 (log.f64 im) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) (log.f64 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))))))
(+.f64 (log.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (log.f64 im))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) (fma.f64 (pow.f64 re #s(literal 4 binary64)) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (log.f64 im)))
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(log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))
(log.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))) #s(literal 3 binary64))
(log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))
(log.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64)))
(pow.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))
(log.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64)))
(pow.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))
(log.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64)))
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))) #s(literal 2 binary64))
(log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))
(log.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64)))
(pow.f64 (E.f64) (log.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))))
(log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))
(log.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))))) (sqrt.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64)))))) (sqrt.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64))))))
(sqrt.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))
(log.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64)))
(log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))
(log.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))) #s(literal 3 binary64)))
(log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))
(log.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))))
(log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))
(log.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64)))
(log1p.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) #s(literal 1 binary64)))
(log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))
(log.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64)))
(exp.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))))
(log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))
(log.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))))) #s(literal 3 binary64)))
(log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))
(log.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))))) #s(literal 1/3 binary64)))
(log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))
(log.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))
(log.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64)))

eval130.0ms (5.4%)

Compiler

Compiled 6129 to 4275 computations (30.2% saved)

prune52.0ms (2.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New3040304
Fresh000
Picked022
Done011
Total3043307
Accuracy
100.0%
Counts
307 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) (log.f64 (hypot.f64 re im))))
100.0%
(log.f64 (hypot.f64 re im))
98.8%
(log.f64 im)
Compiler

Compiled 45 to 29 computations (35.6% saved)

regimes16.0ms (0.7%)

Counts
4 → 1
Calls
Call 1
Inputs
(log.f64 im)
(log.f64 (hypot.f64 re im))
(*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) (log.f64 (hypot.f64 re im))))
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
Outputs
(log.f64 (hypot.f64 re im))
Calls

7 calls:

5.0ms
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
2.0ms
im
2.0ms
re
2.0ms
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
2.0ms
(+.f64 (*.f64 re re) (*.f64 im im))
Results
AccuracySegmentsBranch
100.0%1re
100.0%1im
100.0%1(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
100.0%1(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
100.0%1(+.f64 (*.f64 re re) (*.f64 im im))
100.0%1(*.f64 re re)
100.0%1(*.f64 im im)
Compiler

Compiled 46 to 28 computations (39.1% saved)

regimes2.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(log.f64 im)
Outputs
(log.f64 im)
Calls

2 calls:

1.0ms
im
1.0ms
re
Results
AccuracySegmentsBranch
98.8%1re
98.8%1im
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01125
Stop Event
done
saturated
Calls
Call 1
Inputs
(log.f64 (hypot.f64 re im))
(log.f64 im)
Outputs
(log.f64 (hypot.f64 re im))
(log.f64 im)
Compiler

Compiled 10 to 7 computations (30% saved)

soundness24.0ms (1%)

Rules
52×fmm-def
45×fma-define
15×distribute-lft-neg-in
15×neg-sub0
12×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028127
155127
2102127
3189127
4286127
5325127
6335127
Stop Event
saturated
Compiler

Compiled 15 to 9 computations (40% saved)

end0.0ms (0%)

preprocess40.0ms (1.7%)

Remove

(sort re im)

(abs im)

(abs re)

Compiler

Compiled 146 to 96 computations (34.2% saved)

Profiling

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