math.log/2 on complex, imaginary part

Time bar (total: 9.2s)

analyze214.0ms (2.3%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%49.9%0.1%0%49.9%0%4
0%0%49.9%0.1%0%49.9%0%5
0%0%49.9%0.1%0%49.9%0%6
9.4%4.7%45.2%0.1%0%49.9%0%7
17.2%8.6%41.3%0.1%0%49.9%0%8
27.3%13.7%36.3%0.1%0%49.9%0%9
41%20.5%29.4%0.1%0%49.9%0%10
48.6%24.3%25.6%0.1%0%49.9%0%11
57.1%28.5%21.4%0.1%0%49.9%0%12
Compiler

Compiled 32 to 21 computations (34.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 130.0ms
ival-mult: 48.0ms (36.8% of total)
ival-log: 31.0ms (23.8% of total)
ival-atan2: 14.0ms (10.7% of total)
ival-add: 13.0ms (10% of total)
ival-sqrt: 9.0ms (6.9% of total)
ival-sub: 7.0ms (5.4% of total)
ival-div: 6.0ms (4.6% of total)
const: 3.0ms (2.3% of total)

sample2.1s (22.5%)

Results
1.7s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-mult: 407.0ms (36.2% of total)
ival-log: 307.0ms (27.3% of total)
ival-add: 103.0ms (9.2% of total)
ival-atan2: 101.0ms (9% of total)
ival-sqrt: 74.0ms (6.6% of total)
ival-div: 58.0ms (5.2% of total)
ival-sub: 47.0ms (4.2% of total)
const: 20.0ms (1.8% of total)
backward-pass: 4.0ms (0.4% of total)
Bogosity

preprocess170.0ms (1.9%)

Algorithm
egg-herbie
Rules
915×fma-neg
460×div-sub
403×neg-mul-1
323×associate-/r*
317×distribute-rgt-neg-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
086646
1262624
2543376
31056322
41841322
53535322
65223322
76553322
87761322
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 (atan2.f64 im (neg.f64 re)) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 (atan2.f64 (neg.f64 im) re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im))))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 (neg.f64 base))) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(neg.f64 (/.f64 (-.f64 (*.f64 (atan2.f64 im (neg.f64 re)) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(neg.f64 (/.f64 (-.f64 (*.f64 (atan2.f64 (neg.f64 im) re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im))))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(neg.f64 (/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 (neg.f64 base))) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(/.f64 (-.f64 (*.f64 (atan2.f64 re im) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 (atan2.f64 im base) (log.f64 re)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 base base) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 re) (log.f64 re)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 (atan2.f64 base re) (log.f64 im)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 base base)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 im) (log.f64 im)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
Outputs
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (-.f64 (*.f64 (atan2.f64 im (neg.f64 re)) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (atan2.f64 im (neg.f64 re)) (log.f64 base))
(/.f64 (-.f64 (*.f64 (atan2.f64 (neg.f64 im) re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im))))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (atan2.f64 (neg.f64 im) re) (log.f64 base))
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 (neg.f64 base))) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (atan2.f64 im re) (log.f64 (neg.f64 base)))
(neg.f64 (/.f64 (-.f64 (*.f64 (atan2.f64 im (neg.f64 re)) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(/.f64 (atan2.f64 im (neg.f64 re)) (neg.f64 (log.f64 base)))
(neg.f64 (/.f64 (-.f64 (*.f64 (atan2.f64 (neg.f64 im) re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im))))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(/.f64 (atan2.f64 (neg.f64 im) re) (neg.f64 (log.f64 base)))
(neg.f64 (/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 (neg.f64 base))) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 (neg.f64 base))))
(/.f64 (-.f64 (*.f64 (atan2.f64 re im) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (atan2.f64 re im) (log.f64 base))
(/.f64 (-.f64 (*.f64 (atan2.f64 im base) (log.f64 re)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 base base) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 re) (log.f64 re)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (atan2.f64 im base) (log.f64 re))
(/.f64 (-.f64 (*.f64 (atan2.f64 base re) (log.f64 im)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 base base)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 im) (log.f64 im)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (atan2.f64 base re) (log.f64 im))

explain212.0ms (2.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1420-2(-2.6498953049588593e-188 1.015978203881205e-157 1.5847106808204466e+94)(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
20-2(6.699600293046111e+73 5.146696230820907e-247 2.9009689665643526e-130)(*.f64 (atan2.f64 im re) (log.f64 base))
00-0-(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
00-0-base
00-0-(*.f64 im im)
00-0-(*.f64 (log.f64 base) (log.f64 base))
00-0-(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
00-0-#s(literal 0 binary64)
00-0-(+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
00-0-(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))
00-0-(-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64)))
00-0-re
00-0-(+.f64 (*.f64 re re) (*.f64 im im))
00-0-im
00-0-(atan2.f64 im re)
00-0-(*.f64 re re)
00-0-(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
00-0-(log.f64 base)
Results
131.0ms512×256valid
Compiler

Compiled 277 to 88 computations (68.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 74.0ms
ival-mult: 23.0ms (31.2% of total)
ival-log: 17.0ms (23% of total)
ival-add: 9.0ms (12.2% of total)
ival-atan2: 7.0ms (9.5% of total)
ival-sub: 5.0ms (6.8% of total)
ival-sqrt: 5.0ms (6.8% of total)
ival-div: 4.0ms (5.4% of total)
const: 3.0ms (4.1% of total)

eval0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(/.f64 (atan2.f64 im re) (log.f64 base))
45.0%
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
Compiler

Compiled 40 to 26 computations (35% saved)

localize108.0ms (1.2%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
99.5%
(/.f64 (atan2.f64 im re) (log.f64 base))
99.5%
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
99.4%
(*.f64 (atan2.f64 im re) (log.f64 base))
99.2%
(*.f64 (log.f64 base) (log.f64 base))
48.8%
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
Results
76.0ms256×256valid
Compiler

Compiled 137 to 35 computations (74.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-mult: 13.0ms (31.4% of total)
ival-log: 11.0ms (26.6% of total)
ival-add: 4.0ms (9.7% of total)
ival-atan2: 3.0ms (7.2% of total)
ival-sub: 3.0ms (7.2% of total)
ival-div: 3.0ms (7.2% of total)
ival-sqrt: 3.0ms (7.2% of total)
const: 1.0ms (2.4% of total)

series97.0ms (1.1%)

Counts
5 → 116
Calls
Call 1
Inputs
#<alt (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))>
#<alt (*.f64 (log.f64 base) (log.f64 base))>
#<alt (*.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
Outputs
#<alt im>
#<alt (+.f64 im (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)))>
#<alt (+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))>
#<alt (+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))>
#<alt re>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) re)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))>
#<alt re>
#<alt (+.f64 re (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))>
#<alt (+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))>
#<alt (+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))>
#<alt im>
#<alt (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))))>
#<alt (pow.f64 (log.f64 base) #s(literal 2 binary64))>
#<alt (pow.f64 (log.f64 base) #s(literal 2 binary64))>
#<alt (pow.f64 (log.f64 base) #s(literal 2 binary64))>
#<alt (pow.f64 (log.f64 base) #s(literal 2 binary64))>
#<alt (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64))>
#<alt (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64))>
#<alt (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64))>
#<alt (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64))>
#<alt (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) #s(literal 2 binary64))>
#<alt (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) #s(literal 2 binary64))>
#<alt (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) #s(literal 2 binary64))>
#<alt (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) #s(literal 2 binary64))>
#<alt (*.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (*.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (*.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (*.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (*.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (*.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (*.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (*.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (*.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (*.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (*.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (*.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (*.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (*.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (*.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (*.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (*.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (*.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (*.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (*.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (*.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (*.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (*.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (*.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (*.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (*.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (*.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (*.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))>
#<alt (*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))>
#<alt (*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))>
#<alt (*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))>
#<alt (*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
Calls

36 calls:

TimeVariablePointExpression
27.0ms
base
@0
(* (log base) (log base))
20.0ms
base
@-inf
(* (log base) (log base))
13.0ms
re
@0
(* (atan2 im re) (log base))
12.0ms
im
@0
(* (atan2 im re) (log base))
9.0ms
base
@inf
(* (log base) (log base))

rewrite315.0ms (3.4%)

Algorithm
batch-egg-rewrite
Rules
1006×log1p-expm1-u
616×prod-diff
166×expm1-log1p-u
162×add-exp-log
160×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026126
1420124
25177124
Stop Event
node limit
Counts
5 → 231
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (atan2.f64 im re) (log.f64 base))
Outputs
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 re im))) #s(literal 1 binary64))
(*.f64 (hypot.f64 re im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 re im))
(*.f64 (cbrt.f64 (hypot.f64 re im)) (cbrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
(*.f64 (cbrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (cbrt.f64 (hypot.f64 re im)))
(*.f64 (pow.f64 (+.f64 (*.f64 re re) (*.f64 im im)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (*.f64 re re) (*.f64 im im)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 re im))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (*.f64 re re) (*.f64 im im)) (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 (*.f64 re re) (*.f64 im im)) (+.f64 (*.f64 re re) (*.f64 im im))))) (sqrt.f64 (cbrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 re (*.f64 re (*.f64 re re))) (*.f64 im (*.f64 im (*.f64 im im))))) (sqrt.f64 (-.f64 (*.f64 re re) (*.f64 im im))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 im im) (*.f64 im (*.f64 im (*.f64 im im)))) (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))))) (sqrt.f64 (+.f64 (*.f64 re (*.f64 re (*.f64 re re))) (*.f64 (*.f64 im im) (-.f64 (*.f64 im im) (*.f64 re re))))))
(pow.f64 (+.f64 (*.f64 re re) (*.f64 im im)) #s(literal 1/2 binary64))
(pow.f64 (hypot.f64 re im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (*.f64 re re) (*.f64 im im)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 (*.f64 re re) (*.f64 im im)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))))
(pow.f64 (exp.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 1/2 binary64))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
(fabs.f64 (hypot.f64 re im))
(log.f64 (exp.f64 (hypot.f64 re im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 re im))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 re re) (*.f64 im im)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 re im)))
(hypot.f64 re im)
(hypot.f64 im re)
(log1p.f64 (expm1.f64 (hypot.f64 re im)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #s(literal 1/2 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(+.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))
(-.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (log.f64 base)) (log.f64 base)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 base)))
(*.f64 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))) (pow.f64 (log.f64 base) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 base)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(log.f64 (pow.f64 base (log.f64 base)))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 base (log.f64 base)) #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(log1p.f64 (-.f64 (pow.f64 base (log.f64 base)) #s(literal 1 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 base))) #s(literal 1 binary64)))
(fma.f64 (log.f64 base) (log.f64 base) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (atan2.f64 im re)))
(+.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))
(-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))
(-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64))))
(-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (/.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (atan2.f64 im re))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 base) (atan2.f64 im re)))) #s(literal 1 binary64))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (cbrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (log.f64 base)) (atan2.f64 im re)))
(*.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (atan2.f64 im re))))
(*.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (atan2.f64 im re)))
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (log.f64 base)))
(*.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (log.f64 base) (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64))) (cbrt.f64 (atan2.f64 im re)))
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(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (cbrt.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re))) (neg.f64 (-.f64 #s(literal 0 binary64) (log.f64 base))))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))) (pow.f64 (log.f64 base) #s(literal 1/2 binary64)))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) #s(literal 1 binary64)) (log.f64 base))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))
(neg.f64 (/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 base))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (log.f64 base)))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64)))

simplify294.0ms (3.2%)

Algorithm
egg-herbie
Rules
641×fma-neg
414×cube-prod
295×times-frac
285×div-sub
284×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
057211201
1129510851
2475010760
Stop Event
node limit
Counts
347 → 296
Calls
Call 1
Inputs
im
(+.f64 im (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)))
(+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
(+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
re
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) re)
(*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))
re
(+.f64 re (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))
(+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))
im
(*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
(*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64))
(pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64))
(pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64))
(pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64))
(pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) #s(literal 2 binary64))
(pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) #s(literal 2 binary64))
(pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) #s(literal 2 binary64))
(pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) #s(literal 2 binary64))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 #s(literal -1 binary64) (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))
(*.f64 #s(literal -1 binary64) (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))
(*.f64 #s(literal -1 binary64) (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))
(*.f64 #s(literal -1 binary64) (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))
(*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 re im))) #s(literal 1 binary64))
(*.f64 (hypot.f64 re im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 re im))
(*.f64 (cbrt.f64 (hypot.f64 re im)) (cbrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
(*.f64 (cbrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (cbrt.f64 (hypot.f64 re im)))
(*.f64 (pow.f64 (+.f64 (*.f64 re re) (*.f64 im im)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (*.f64 re re) (*.f64 im im)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 re im))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (*.f64 re re) (*.f64 im im)) (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 (*.f64 re re) (*.f64 im im)) (+.f64 (*.f64 re re) (*.f64 im im))))) (sqrt.f64 (cbrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 re (*.f64 re (*.f64 re re))) (*.f64 im (*.f64 im (*.f64 im im))))) (sqrt.f64 (-.f64 (*.f64 re re) (*.f64 im im))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 im im) (*.f64 im (*.f64 im (*.f64 im im)))) (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))))) (sqrt.f64 (+.f64 (*.f64 re (*.f64 re (*.f64 re re))) (*.f64 (*.f64 im im) (-.f64 (*.f64 im im) (*.f64 re re))))))
(pow.f64 (+.f64 (*.f64 re re) (*.f64 im im)) #s(literal 1/2 binary64))
(pow.f64 (hypot.f64 re im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (*.f64 re re) (*.f64 im im)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 (*.f64 re re) (*.f64 im im)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))))
(pow.f64 (exp.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 1/2 binary64))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
(fabs.f64 (hypot.f64 re im))
(log.f64 (exp.f64 (hypot.f64 re im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 re im))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 re re) (*.f64 im im)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 re im)))
(hypot.f64 re im)
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(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 0 binary64)))))
(/.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) #s(literal 0 binary64)) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(/.f64 (*.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)))
(pow.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 1/2 binary64)) (log.f64 base)) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(log.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(log1p.f64 (-.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) #s(literal 1 binary64))
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (log.f64 base)))
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 base))))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (cbrt.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re))) (neg.f64 (-.f64 #s(literal 0 binary64) (log.f64 base))))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))) (pow.f64 (log.f64 base) #s(literal 1/2 binary64)))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) #s(literal 1 binary64)) (log.f64 base))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))
(neg.f64 (/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 base))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (log.f64 base)))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64)))
Outputs
im
(+.f64 im (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)))
(+.f64 im (*.f64 (*.f64 re re) (/.f64 #s(literal 1/2 binary64) im)))
(+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
(+.f64 im (*.f64 (*.f64 re re) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 re re) (*.f64 im (*.f64 im im)))) (/.f64 #s(literal 1/2 binary64) im))))
(+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
(+.f64 im (*.f64 (*.f64 re re) (+.f64 (/.f64 #s(literal 1/2 binary64) im) (*.f64 re (*.f64 re (+.f64 (/.f64 (*.f64 (*.f64 re re) #s(literal 1/16 binary64)) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im im))) (/.f64 #s(literal -1/8 binary64) (*.f64 im (*.f64 im im)))))))))
re
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) re) (*.f64 im (/.f64 im re)))))
(*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) re) (*.f64 im (/.f64 im re))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 im (*.f64 im (*.f64 im im)))) (*.f64 re (*.f64 re (*.f64 re re)))))))
(*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
(*.f64 re (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) re) (*.f64 im (/.f64 im re))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 im (*.f64 im (*.f64 im im)))) (*.f64 re (*.f64 re (*.f64 re re)))))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 im (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im im)))) (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))))))
(*.f64 #s(literal -1 binary64) re)
(-.f64 #s(literal 0 binary64) re)
(*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) re) (*.f64 im (/.f64 im re)))) (-.f64 #s(literal 0 binary64) re))
(*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) re) (*.f64 im (/.f64 im re))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 im (*.f64 im (*.f64 im im)))) (*.f64 re (*.f64 re (*.f64 re re)))))) (-.f64 #s(literal 0 binary64) re))
(*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))
(-.f64 #s(literal 0 binary64) (*.f64 re (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) re) (*.f64 im (/.f64 im re))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 im (*.f64 im (*.f64 im im)))) (*.f64 re (*.f64 re (*.f64 re re)))))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 im (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im im)))) (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re)))))))
re
(+.f64 re (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(+.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 im (/.f64 im re))))
(+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))
(+.f64 re (*.f64 im (*.f64 im (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 im re) (/.f64 im (*.f64 re re)))) (/.f64 #s(literal 1/2 binary64) re)))))
(+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))
(+.f64 re (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) re) (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) im) im) (*.f64 (*.f64 re re) (*.f64 re (*.f64 re re)))) (/.f64 #s(literal -1/8 binary64) (*.f64 re (*.f64 re re)))) (*.f64 im im))) (*.f64 im im)))
im
(*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) im) (*.f64 re (/.f64 re im)))))
(*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
(*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) im) (*.f64 re (/.f64 re im))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 re (*.f64 re (*.f64 re re))) (*.f64 im (*.f64 im (*.f64 im im))))))))
(*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
(*.f64 im (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) im) (*.f64 re (/.f64 re im))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 re (*.f64 re (*.f64 re re))) (*.f64 im (*.f64 im (*.f64 im im))))))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re)))) (*.f64 im (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im im))))))
(*.f64 #s(literal -1 binary64) im)
(-.f64 #s(literal 0 binary64) im)
(*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
(*.f64 im (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) im) (*.f64 re (/.f64 re im))))))
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(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64)))
(/.f64 (atan2.f64 im re) (log.f64 base))

eval213.0ms (2.3%)

Compiler

Compiled 16380 to 6476 computations (60.5% saved)

prune80.0ms (0.9%)

Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New62320643
Fresh000
Picked112
Done000
Total62421645
Accuracy
100.0%
Counts
645 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.7%
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
53.0%
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
97.7%
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 3 binary64))
99.5%
(/.f64 (atan2.f64 im re) (log.f64 base))
99.5%
(/.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (log.f64 base))
98.3%
(/.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)))
44.3%
(/.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 3 binary64)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
87.8%
(/.f64 (*.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 (log.f64 base) (atan2.f64 im re)))
99.3%
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
99.2%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
98.7%
(*.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 6 binary64))))
99.0%
(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
99.4%
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re)))
97.3%
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
99.4%
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
99.1%
(*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
99.3%
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
99.5%
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
52.1%
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
89.6%
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)))
89.6%
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
Compiler

Compiled 631 to 424 computations (32.8% saved)

localize330.0ms (3.6%)

Localize:

Found 15 expressions with local error:

NewAccuracyProgram
99.6%
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
99.3%
(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
98.8%
(pow.f64 (log.f64 base) #s(literal 3 binary64))
98.5%
(pow.f64 (log.f64 base) #s(literal 4 binary64))
99.5%
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re)))
99.4%
(*.f64 (log.f64 base) (atan2.f64 im re))
99.2%
(pow.f64 (log.f64 base) #s(literal -2 binary64))
99.5%
(/.f64 (atan2.f64 im re) (log.f64 base))
99.0%
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 3 binary64))
93.8%
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
99.6%
(/.f64 #s(literal 1 binary64) (log.f64 base))
99.5%
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
99.8%
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
99.8%
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
99.5%
(/.f64 (atan2.f64 im re) (log.f64 base))
Results
115.0ms211×256valid
123.0ms17×2048valid
26.0ms17×1024valid
12.0ms11×512valid
Compiler

Compiled 154 to 41 computations (73.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 233.0ms
ival-pow: 133.0ms (57.1% of total)
composed: 27.0ms (11.6% of total)
ival-log: 25.0ms (10.7% of total)
ival-div: 19.0ms (8.2% of total)
ival-mult: 10.0ms (4.3% of total)
ival-exp: 5.0ms (2.1% of total)
ival-atan2: 4.0ms (1.7% of total)
const: 3.0ms (1.3% of total)
ival-cbrt: 3.0ms (1.3% of total)
ival-sub: 2.0ms (0.9% of total)
ival-add: 2.0ms (0.9% of total)

series50.0ms (0.6%)

Counts
13 → 276
Calls
Call 1
Inputs
#<alt (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))>
#<alt (log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))>
#<alt (*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))>
#<alt (/.f64 #s(literal 1 binary64) (log.f64 base))>
#<alt (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))>
#<alt (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 3 binary64))>
#<alt (pow.f64 (log.f64 base) #s(literal -2 binary64))>
#<alt (*.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re)))>
#<alt (pow.f64 (log.f64 base) #s(literal 4 binary64))>
#<alt (pow.f64 (log.f64 base) #s(literal 3 binary64))>
#<alt (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64))))>
#<alt (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64)))>
Outputs
#<alt (-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))) #s(literal 1 binary64))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))>
#<alt (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))>
#<alt (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))>
#<alt (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base)))))>
#<alt (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base)))))>
#<alt (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base)))))>
#<alt (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base)))))>
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#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
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#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
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#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
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#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
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#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 4 binary64))>
#<alt (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 4 binary64))>
#<alt (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 4 binary64))>
#<alt (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 4 binary64))>
#<alt (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) #s(literal 4 binary64))>
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#<alt (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) #s(literal 4 binary64))>
#<alt (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) #s(literal 4 binary64))>
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#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
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#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 4 binary64)))>
#<alt (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 4 binary64)))>
#<alt (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 4 binary64)))>
#<alt (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 4 binary64)))>
#<alt (/.f64 (atan2.f64 im re) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) #s(literal 4 binary64)))>
#<alt (/.f64 (atan2.f64 im re) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) #s(literal 4 binary64)))>
#<alt (/.f64 (atan2.f64 im re) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) #s(literal 4 binary64)))>
#<alt (/.f64 (atan2.f64 im re) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) #s(literal 4 binary64)))>
Calls

93 calls:

TimeVariablePointExpression
4.0ms
im
@0
(cbrt (/ (atan2 im re) (log base)))
4.0ms
im
@0
(/ (atan2 im re) (pow (log base) 4))
2.0ms
base
@inf
(cbrt (/ (atan2 im re) (log base)))
2.0ms
base
@-inf
(cbrt (/ (atan2 im re) (log base)))
2.0ms
im
@inf
(cbrt (/ (atan2 im re) (log base)))

rewrite212.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
890×log1p-expm1-u
889×expm1-log1p-u
257×log1p-undefine
150×pow1
149×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030329
1402329
24477329
Stop Event
node limit
Counts
13 → 614
Calls
Call 1
Inputs
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (log.f64 base) #s(literal -2 binary64))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 (log.f64 base) #s(literal 4 binary64))
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
Outputs
(+.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal -1 binary64))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))
(*.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (cbrt.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) #s(literal 2 binary64)) (cbrt.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(*.f64 (pow.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1/2 binary64)) (pow.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) #s(literal 1 binary64)) (+.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64)))
(pow.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))
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(/.f64 (/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)))) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 (/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(pow.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (atan2.f64 im re))) #s(literal 1 binary64))
(pow.f64 (*.f64 (log.f64 base) (cbrt.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (atan2.f64 im re))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (atan2.f64 im re))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (atan2.f64 im re))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (atan2.f64 im re)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (atan2.f64 im re))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (atan2.f64 im re))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (atan2.f64 im re)))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (atan2.f64 im re)))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (atan2.f64 im re)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (atan2.f64 im re)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64))))) #s(literal 1 binary64))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(*.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64)))) (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64)))))
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(*.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (atan2.f64 im re))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)))) (/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)))) (cbrt.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)))) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (atan2.f64 im re)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (atan2.f64 im re))))
(/.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re))) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (/.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)))) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(pow.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (atan2.f64 im re)) #s(literal -1 binary64))
(neg.f64 (/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(sqrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 8 binary64))))
(log.f64 (exp.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64)))))
(exp.f64 (log.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64)))) #s(literal 1 binary64)))

simplify243.0ms (2.6%)

Algorithm
egg-herbie
Rules
727×fma-define
453×unswap-sqr
391×exp-prod
360×cube-prod
257×swap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
072627368
1140725991
2359625964
Stop Event
node limit
Counts
890 → 433
Calls
Call 1
Inputs
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))) #s(literal 1 binary64))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))) #s(literal 1 binary64))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))) #s(literal 1 binary64))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))) #s(literal 1 binary64))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))) #s(literal 1 binary64))
(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
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(pow.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (atan2.f64 im re))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (atan2.f64 im re))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (atan2.f64 im re)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (atan2.f64 im re))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (atan2.f64 im re))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (atan2.f64 im re)))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (atan2.f64 im re)))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (atan2.f64 im re)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (atan2.f64 im re)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64))))) #s(literal 1 binary64))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(*.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64)))) (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64)))))
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(*.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (atan2.f64 im re))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)))) (/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)))) (cbrt.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)))) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (atan2.f64 im re)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (atan2.f64 im re))))
(/.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re))) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (/.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)))) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(pow.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (atan2.f64 im re)) #s(literal -1 binary64))
(neg.f64 (/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(sqrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 8 binary64))))
(log.f64 (exp.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64)))))
(exp.f64 (log.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64)))) #s(literal 1 binary64)))
Outputs
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))) #s(literal 1 binary64))
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))) #s(literal 1 binary64))
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))) #s(literal 1 binary64))
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))) #s(literal 1 binary64))
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))) #s(literal 1 binary64))
(expm1.f64 (/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))) #s(literal 1 binary64))
(expm1.f64 (/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))) #s(literal 1 binary64))
(expm1.f64 (/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))) #s(literal 1 binary64))
(expm1.f64 (/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64))))
(pow.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64))) #s(literal 1 binary64))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64)))) #s(literal 3 binary64))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(pow.f64 (pow.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(pow.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 2 binary64))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(pow.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (atan2.f64 im re)) #s(literal -1 binary64))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(neg.f64 (/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(sqrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 8 binary64))))
(log.f64 (exp.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64)))))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64))))))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(cbrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64))) #s(literal 3 binary64)))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 12 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64)))))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64)))))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(exp.f64 (log.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64)))))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64)))) #s(literal 1 binary64)))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64)))

eval400.0ms (4.4%)

Compiler

Compiled 21060 to 8957 computations (57.5% saved)

prune113.0ms (1.2%)

Pruning

20 alts after pruning (15 fresh and 5 done)

PrunedKeptTotal
New149671503
Fresh7815
Picked145
Done011
Total1504201524
Accuracy
100.0%
Counts
1524 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.7%
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
53.0%
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
97.7%
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 3 binary64))
99.5%
(/.f64 (atan2.f64 im re) (log.f64 base))
99.5%
(/.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (log.f64 base))
99.3%
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
99.1%
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
99.2%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
99.0%
(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (atan2.f64 im re)))
99.4%
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re)))
49.5%
(*.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)))
99.4%
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
91.7%
(*.f64 (atan2.f64 im re) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))))
49.2%
(*.f64 (atan2.f64 im re) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))))
99.0%
(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64))))
98.8%
(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64))))
99.3%
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
99.5%
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
52.1%
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
89.6%
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)))
Compiler

Compiled 463 to 332 computations (28.3% saved)

localize159.0ms (1.7%)

Localize:

Found 14 expressions with local error:

NewAccuracyProgram
99.7%
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
99.7%
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
99.6%
(pow.f64 (log.f64 base) #s(literal 2 binary64))
100.0%
(log.f64 (log.f64 base))
99.7%
(*.f64 (atan2.f64 im re) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))))
99.2%
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64)))
99.8%
(/.f64 (atan2.f64 im re) (log.f64 base))
99.5%
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64))
96.2%
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)))
99.8%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
99.7%
(/.f64 (log.f64 base) (atan2.f64 im re))
99.8%
(/.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (log.f64 base))
99.7%
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base))
99.7%
(*.f64 (log.f64 base) (atan2.f64 im re))
Results
53.0ms128×256invalid
58.0ms128×256valid
Compiler

Compiled 159 to 41 computations (74.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-pow: 20.0ms (29.4% of total)
ival-div: 11.0ms (16.2% of total)
ival-mult: 10.0ms (14.7% of total)
ival-log: 9.0ms (13.2% of total)
ival-atan2: 8.0ms (11.8% of total)
ival-exp: 5.0ms (7.4% of total)
const: 2.0ms (2.9% of total)
ival-cbrt: 2.0ms (2.9% of total)

series117.0ms (1.3%)

Counts
12 → 296
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base))>
#<alt (/.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (log.f64 base))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))>
#<alt (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)))>
#<alt (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64))>
#<alt (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64)))>
#<alt (*.f64 (atan2.f64 im re) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))))>
#<alt (log.f64 (log.f64 base))>
#<alt (pow.f64 (log.f64 base) #s(literal 2 binary64))>
#<alt (*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))))>
#<alt (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))>
Outputs
#<alt (atan2.f64 im re)>
#<alt (atan2.f64 im re)>
#<alt (atan2.f64 im re)>
#<alt (atan2.f64 im re)>
#<alt (atan2.f64 im re)>
#<alt (atan2.f64 im re)>
#<alt (atan2.f64 im re)>
#<alt (atan2.f64 im re)>
#<alt (atan2.f64 im re)>
#<alt (atan2.f64 im re)>
#<alt (atan2.f64 im re)>
#<alt (atan2.f64 im re)>
#<alt (atan2.f64 im re)>
#<alt (atan2.f64 im re)>
#<alt (atan2.f64 im re)>
#<alt (atan2.f64 im re)>
#<alt (atan2.f64 im re)>
#<alt (atan2.f64 im re)>
#<alt (atan2.f64 im re)>
#<alt (atan2.f64 im re)>
#<alt (atan2.f64 im re)>
#<alt (atan2.f64 im re)>
#<alt (atan2.f64 im re)>
#<alt (atan2.f64 im re)>
#<alt (atan2.f64 im re)>
#<alt (atan2.f64 im re)>
#<alt (atan2.f64 im re)>
#<alt (atan2.f64 im re)>
#<alt (atan2.f64 im re)>
#<alt (atan2.f64 im re)>
#<alt (atan2.f64 im re)>
#<alt (atan2.f64 im re)>
#<alt (atan2.f64 im re)>
#<alt (atan2.f64 im re)>
#<alt (atan2.f64 im re)>
#<alt (atan2.f64 im re)>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))>
#<alt (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))>
#<alt (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))>
#<alt (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))>
#<alt (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))>
#<alt (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))>
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#<alt (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))>
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#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 3 binary64))))>
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#<alt (/.f64 #s(literal 1 binary64) (log.f64 base))>
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#<alt (/.f64 #s(literal 1 binary64) (log.f64 base))>
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#<alt (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))>
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#<alt (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))>
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#<alt (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (log.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (log.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (log.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (log.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (log.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (log.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (log.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (log.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64))>
#<alt (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64))>
#<alt (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64))>
#<alt (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64))>
#<alt (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) #s(literal 2 binary64))>
#<alt (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) #s(literal 2 binary64))>
#<alt (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) #s(literal 2 binary64))>
#<alt (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) #s(literal 2 binary64))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64)))>
#<alt (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64)))>
#<alt (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64)))>
#<alt (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64)))>
#<alt (/.f64 (atan2.f64 im re) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) #s(literal 2 binary64)))>
#<alt (/.f64 (atan2.f64 im re) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) #s(literal 2 binary64)))>
#<alt (/.f64 (atan2.f64 im re) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) #s(literal 2 binary64)))>
#<alt (/.f64 (atan2.f64 im re) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) #s(literal 2 binary64)))>
Calls

90 calls:

TimeVariablePointExpression
37.0ms
base
@0
(log (log base))
20.0ms
base
@-inf
(log (log base))
19.0ms
base
@inf
(log (log base))
10.0ms
im
@-inf
(pow (/ (atan2 im re) (log base)) 3)
1.0ms
im
@0
(pow (/ (atan2 im re) (log base)) 3)

rewrite438.0ms (4.8%)

Algorithm
batch-egg-rewrite
Rules
874×log1p-expm1-u
408×expm1-log1p-u
319×prod-diff
166×add-exp-log
165×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031344
1441298
25519298
Stop Event
node limit
Counts
12 → 703
Calls
Call 1
Inputs
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base))
(/.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (log.f64 base))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64)))
(*.f64 (atan2.f64 im re) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))))
(log.f64 (log.f64 base))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (log.f64 base) (*.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base))
(*.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (log.f64 base)) (*.f64 (log.f64 base) (atan2.f64 im re))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
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(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))) (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))) (/.f64 (cbrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 1/2 binary64)) (cbrt.f64 (log.f64 base))))
(*.f64 (*.f64 (log.f64 base) (pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))))
(*.f64 (*.f64 (log.f64 base) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 1/2 binary64)))
(/.f64 (log.f64 base) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re))))
(/.f64 (*.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (neg.f64 (log.f64 base)))
(/.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re))) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (/.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))) (pow.f64 (log.f64 base) #s(literal 1/2 binary64)))
(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 1 binary64)) (log.f64 base))
(/.f64 (*.f64 (log.f64 base) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))))
(pow.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (log.f64 base)) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re))))
(neg.f64 (/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(log.f64 (pow.f64 base (*.f64 (log.f64 base) (atan2.f64 im re))))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 base (*.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(log1p.f64 (-.f64 (pow.f64 base (*.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) #s(literal 1 binary64)))

simplify268.0ms (2.9%)

Algorithm
egg-herbie
Rules
494×associate-/l*
453×cube-prod
393×div-sub
389×associate-/r*
329×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
07594295001187
114884294997594
248604294997518
Stop Event
node limit
Counts
999 → 486
Calls
Call 1
Inputs
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
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(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
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(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
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(expm1.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(log1p.f64 (-.f64 (pow.f64 base (*.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) #s(literal 1 binary64)))
Outputs
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
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(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
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(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
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(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
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(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)))
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(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(cbrt.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(log1p.f64 (-.f64 (pow.f64 base (*.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 1 binary64)))
(log.f64 (+.f64 (pow.f64 base (*.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 0 binary64)))
(exp.f64 (log.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))

eval488.0ms (5.3%)

Compiler

Compiled 21427 to 8757 computations (59.1% saved)

prune128.0ms (1.4%)

Pruning

15 alts after pruning (9 fresh and 6 done)

PrunedKeptTotal
New156131564
Fresh4610
Picked325
Done145
Total1569151584
Accuracy
100.0%
Counts
1584 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.0%
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
97.7%
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 3 binary64))
99.5%
(/.f64 (atan2.f64 im re) (log.f64 base))
99.5%
(/.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (log.f64 base))
89.8%
(/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64))) (log.f64 base))
99.2%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
99.1%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
83.7%
(/.f64 #s(literal 1 binary64) (log.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))))
49.5%
(*.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)))
99.4%
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
91.7%
(*.f64 (atan2.f64 im re) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))))
99.0%
(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64))))
98.8%
(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64))))
99.5%
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
52.1%
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
Compiler

Compiled 299 to 223 computations (25.4% saved)

localize173.0ms (1.9%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
99.9%
(/.f64 (atan2.f64 im re) (log.f64 base))
99.8%
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
98.5%
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1/2 binary64))
99.9%
(sqrt.f64 (log.f64 base))
99.9%
(*.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)))
99.7%
(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64))
99.9%
(/.f64 (atan2.f64 im re) (log.f64 base))
99.2%
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
98.5%
(log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
100.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))
99.9%
(/.f64 #s(literal 1 binary64) (log.f64 base))
99.9%
(*.f64 (atan2.f64 im re) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))))
97.3%
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
100.0%
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
99.9%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
Results
82.0ms183×256invalid
36.0ms73×256valid
Compiler

Compiled 165 to 56 computations (66.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 77.0ms
ival-pow: 26.0ms (33.6% of total)
ival-div: 19.0ms (24.5% of total)
ival-log: 9.0ms (11.6% of total)
ival-mult: 7.0ms (9% of total)
ival-add: 6.0ms (7.7% of total)
ival-exp: 3.0ms (3.9% of total)
ival-atan2: 3.0ms (3.9% of total)
const: 3.0ms (3.9% of total)
ival-sqrt: 2.0ms (2.6% of total)

series361.0ms (3.9%)

Counts
13 → 300
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))>
#<alt (/.f64 #s(literal 1 binary64) (atan2.f64 im re))>
#<alt (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))>
#<alt (*.f64 (atan2.f64 im re) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))>
#<alt (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))>
#<alt (exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))>
#<alt (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64))>
#<alt (*.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)))>
#<alt (sqrt.f64 (log.f64 base))>
#<alt (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1/2 binary64))>
#<alt (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1/2 binary64)) #s(literal 2 binary64))>
Outputs
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))>
#<alt (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))>
#<alt (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))>
#<alt (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))>
#<alt (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 #s(literal 1 binary64) (log.f64 base))>
#<alt (/.f64 #s(literal 1 binary64) (log.f64 base))>
#<alt (/.f64 #s(literal 1 binary64) (log.f64 base))>
#<alt (/.f64 #s(literal 1 binary64) (log.f64 base))>
#<alt (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))>
#<alt (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))>
#<alt (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))>
#<alt (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))))>
#<alt (log.f64 (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base)))))>
#<alt (log.f64 (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base)))))>
#<alt (log.f64 (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base)))))>
#<alt (log.f64 (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base)))))>
#<alt (log.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))))>
#<alt (log.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))))>
#<alt (log.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))))>
#<alt (log.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
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#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
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#<alt (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) base))) (sqrt.f64 #s(literal -1 binary64)))>
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#<alt (sqrt.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (sqrt.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
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#<alt (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))>
#<alt (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))>
#<alt (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))>
#<alt (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))>
#<alt (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))>
#<alt (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))>
#<alt (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))>
#<alt (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))>
#<alt (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))>
#<alt (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))>
#<alt (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))>
#<alt (*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base)))) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base)))) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base)))) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base)))) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (sqrt.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))))>
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#<alt (sqrt.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
Calls

90 calls:

TimeVariablePointExpression
146.0ms
base
@inf
(log (/ (atan2 im re) (log base)))
73.0ms
im
@-inf
(log (/ (atan2 im re) (log base)))
24.0ms
re
@-inf
(log (/ (atan2 im re) (log base)))
21.0ms
im
@0
(log (/ (atan2 im re) (log base)))
19.0ms
im
@inf
(log (/ (atan2 im re) (log base)))

rewrite313.0ms (3.4%)

Algorithm
batch-egg-rewrite
Rules
952×log1p-expm1-u
470×prod-diff
459×expm1-log1p-u
156×pow1
155×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032307
1444295
24911295
Stop Event
node limit
Counts
13 → 719
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (atan2.f64 im re) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64))
(*.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)))
(sqrt.f64 (log.f64 base))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
(*.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(*.f64 (log.f64 base) (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #s(literal 1 binary64)))
(*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 1 binary64))
(*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (atan2.f64 im re)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (log.f64 base)) (atan2.f64 im re)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (atan2.f64 im re))) (log.f64 base)))
(*.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (/.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (log.f64 base)))
(*.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))) (/.f64 (log.f64 base) (cbrt.f64 (atan2.f64 im re))))
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(cbrt.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (log.f64 base))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 1/2 binary64)))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal 1/2 binary64)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re))) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) base))))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(fabs.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64)))
(log.f64 (exp.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (*.f64 (atan2.f64 im re) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))))
(+.f64 (*.f64 (atan2.f64 im re) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))) (-.f64 #s(literal 0 binary64) (atan2.f64 im re)))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) #s(literal 1 binary64)) (*.f64 (*.f64 (atan2.f64 im re) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (atan2.f64 im re) #s(literal 0 binary64)) (/.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (*.f64 #s(literal 0 binary64) (atan2.f64 im re)) (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re))))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re))
(*.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))) (atan2.f64 im re)))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (atan2.f64 im re)))
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (log.f64 base)))
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1/4 binary64))) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (cbrt.f64 (log.f64 base))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (cbrt.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))) (cbrt.f64 (atan2.f64 im re)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64))) (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))))
(*.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(/.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (log.f64 (/.f64 #s(literal 1 binary64) base)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re))) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))) (pow.f64 (log.f64 base) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) #s(literal 3 binary64)) (pow.f64 (*.f64 (atan2.f64 im re) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))) #s(literal 3 binary64))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (-.f64 #s(literal 0 binary64) (atan2.f64 im re))) (-.f64 (*.f64 (*.f64 (atan2.f64 im re) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))) (*.f64 (atan2.f64 im re) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))) (*.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (*.f64 (atan2.f64 im re) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))))))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (-.f64 #s(literal 0 binary64) (atan2.f64 im re))) (*.f64 (*.f64 (atan2.f64 im re) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))) (*.f64 (atan2.f64 im re) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))))) (-.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (*.f64 (atan2.f64 im re) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))))
(/.f64 (*.f64 (atan2.f64 im re) (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal -1 binary64)))))
(/.f64 (*.f64 (atan2.f64 im re) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 2 binary64)))) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 3 binary64))) (atan2.f64 im re)) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal -1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 2 binary64))) (atan2.f64 im re)) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 base)))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(pow.f64 (exp.f64 (pow.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1/2 binary64))) (pow.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1/2 binary64)))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (log.f64 base)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64)))
(fma.f64 (atan2.f64 im re) #s(literal -1 binary64) (*.f64 (atan2.f64 im re) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))))
(fma.f64 #s(literal -1 binary64) (atan2.f64 im re) (*.f64 (atan2.f64 im re) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))))

simplify380.0ms (4.2%)

Algorithm
egg-herbie
Rules
563×fma-neg
279×div-sub
275×cube-prod
271×associate-*r*
254×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
069335556
1136533919
2468433891
Stop Event
node limit
Counts
1019 → 407
Calls
Call 1
Inputs
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
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(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(/.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (log.f64 (/.f64 #s(literal 1 binary64) base)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re))) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))) (pow.f64 (log.f64 base) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) #s(literal 3 binary64)) (pow.f64 (*.f64 (atan2.f64 im re) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))) #s(literal 3 binary64))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (-.f64 #s(literal 0 binary64) (atan2.f64 im re))) (-.f64 (*.f64 (*.f64 (atan2.f64 im re) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))) (*.f64 (atan2.f64 im re) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))) (*.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (*.f64 (atan2.f64 im re) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))))))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (-.f64 #s(literal 0 binary64) (atan2.f64 im re))) (*.f64 (*.f64 (atan2.f64 im re) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))) (*.f64 (atan2.f64 im re) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))))) (-.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (*.f64 (atan2.f64 im re) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))))
(/.f64 (*.f64 (atan2.f64 im re) (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal -1 binary64)))))
(/.f64 (*.f64 (atan2.f64 im re) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 2 binary64)))) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 3 binary64))) (atan2.f64 im re)) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal -1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 2 binary64))) (atan2.f64 im re)) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 base)))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(pow.f64 (exp.f64 (pow.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1/2 binary64))) (pow.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1/2 binary64)))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (log.f64 base)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64)))
(fma.f64 (atan2.f64 im re) #s(literal -1 binary64) (*.f64 (atan2.f64 im re) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))))
(fma.f64 #s(literal -1 binary64) (atan2.f64 im re) (*.f64 (atan2.f64 im re) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))))
Outputs
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))
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(*.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (*.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64))) #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (log.f64 (/.f64 #s(literal 1 binary64) base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re))) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))) (pow.f64 (log.f64 base) #s(literal 1/2 binary64)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) #s(literal 3 binary64)) (pow.f64 (*.f64 (atan2.f64 im re) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))) #s(literal 3 binary64))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (-.f64 #s(literal 0 binary64) (atan2.f64 im re))) (-.f64 (*.f64 (*.f64 (atan2.f64 im re) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))) (*.f64 (atan2.f64 im re) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))) (*.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (*.f64 (atan2.f64 im re) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (atan2.f64 im re) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))) #s(literal 3 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 3 binary64))) (+.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (*.f64 (*.f64 (atan2.f64 im re) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 2 binary64)) (atan2.f64 im re)))))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (-.f64 #s(literal 0 binary64) (atan2.f64 im re))) (*.f64 (*.f64 (atan2.f64 im re) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))) (*.f64 (atan2.f64 im re) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))))) (-.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (*.f64 (atan2.f64 im re) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (*.f64 (atan2.f64 im re) (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal -1 binary64)))))
(*.f64 (atan2.f64 im re) (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))) (+.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 2 binary64))))))
(/.f64 (*.f64 (atan2.f64 im re) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 2 binary64)))) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 2 binary64))) (/.f64 (atan2.f64 im re) (+.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal -2 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 3 binary64))) (atan2.f64 im re)) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal -1 binary64)))))
(*.f64 (atan2.f64 im re) (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))) (+.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 2 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 2 binary64))) (atan2.f64 im re)) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 2 binary64))) (/.f64 (atan2.f64 im re) (+.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal -2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (*.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (cbrt.f64 (log.f64 base))))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 3 binary64))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (exp.f64 (pow.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1/2 binary64))) (pow.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1/2 binary64)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(fma.f64 (atan2.f64 im re) #s(literal -1 binary64) (*.f64 (atan2.f64 im re) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(fma.f64 #s(literal -1 binary64) (atan2.f64 im re) (*.f64 (atan2.f64 im re) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))

eval735.0ms (8%)

Compiler

Compiled 23665 to 11124 computations (53% saved)

prune128.0ms (1.4%)

Pruning

15 alts after pruning (6 fresh and 9 done)

PrunedKeptTotal
New165321655
Fresh044
Picked235
Done066
Total1655151670
Accuracy
100.0%
Counts
1670 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.0%
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
97.7%
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 3 binary64))
99.5%
(/.f64 (atan2.f64 im re) (log.f64 base))
99.5%
(/.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (log.f64 base))
99.2%
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
89.8%
(/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64))) (log.f64 base))
99.2%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
83.7%
(/.f64 #s(literal 1 binary64) (log.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))))
49.5%
(*.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)))
99.4%
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
91.7%
(*.f64 (atan2.f64 im re) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))))
99.0%
(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64))))
98.8%
(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64))))
99.5%
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
52.1%
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
Compiler

Compiled 598 to 309 computations (48.3% saved)

regimes122.0ms (1.3%)

Accuracy

Total -58.5b remaining (-19958.3%)

Threshold costs -58.5b (-19958.3%)

Counts
34 → 1
Calls
Call 1
Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))))
(/.f64 #s(literal 1 binary64) (log.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)))
(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64))))
(*.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)))
(/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64))) (log.f64 base))
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
(*.f64 (atan2.f64 im re) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (log.f64 base))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (atan2.f64 im re)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (*.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 3 binary64)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
Outputs
(/.f64 (atan2.f64 im re) (log.f64 base))
Calls

5 calls:

12.0ms
im
10.0ms
(log.f64 base)
10.0ms
base
8.0ms
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
8.0ms
re
Results
AccuracySegmentsBranch
99.5%1re
99.5%1im
99.5%1base
99.5%1(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
99.5%1(log.f64 base)
Compiler

Compiled 48 to 33 computations (31.3% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01326
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
Outputs
(/.f64 (atan2.f64 im re) (log.f64 base))

soundness203.0ms (2.2%)

Rules
915×fma-neg
460×div-sub
403×neg-mul-1
323×associate-/r*
317×distribute-rgt-neg-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
086646
1262624
2543376
31056322
41841322
53535322
65223322
76553322
87761322
Stop Event
fuel
node limit
Compiler

Compiled 126 to 47 computations (62.7% saved)

preprocess30.0ms (0.3%)

Compiler

Compiled 80 to 52 computations (35% saved)

end0.0ms (0%)

Profiling

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