math.cube on complex, imaginary part

Time bar (total: 6.8s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 22 to 12 computations (45.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
Operation ival-sub, time spent: 0.0ms, 0.0% of total-time
Operation ival-add, time spent: 0.0ms, 0.0% of total-time
Operation ival-mult, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

sample1.7s (24.9%)

Results
1.1s4526×256valid
523.0ms3729×256infinite
0.0ms256valid
Precisions
Click to see histograms. Total time spent on operations: 935.0ms
Operation ival-mult, time spent: 782.0ms, 84.0% of total-time
Operation ival-add, time spent: 91.0ms, 10.0% of total-time
Operation ival-sub, time spent: 52.0ms, 6.0% of total-time
Operation const, time spent: 10.0ms, 1.0% of total-time
Bogosity

preprocess255.0ms (3.8%)

Algorithm
egg-herbie
Rules
914×unsub-neg
606×fma-define
419×sub-neg
392×distribute-lft-out
383×distribute-lft-in
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
240-0-(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
230-0-(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
120-0-(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
00-0-x.im
00-0-x.re
00-0-(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
00-0-(*.f64 x.im x.re)
00-0-(*.f64 x.re x.re)
00-0-(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
00-0-(*.f64 x.im x.im)
00-0-(*.f64 x.re x.im)
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
042563
1136491
2368483
31517309
44607301
56832301
67668301
Stop Event
node limit
Calls
Call 1
Inputs
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (-.f64 (*.f64 (neg.f64 x.re) (neg.f64 x.re)) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 (neg.f64 x.re) x.im) (*.f64 x.im (neg.f64 x.re))) (neg.f64 x.re)))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) (neg.f64 x.im))) (neg.f64 x.im)) (*.f64 (+.f64 (*.f64 x.re (neg.f64 x.im)) (*.f64 (neg.f64 x.im) x.re)) x.re))
(neg.f64 (+.f64 (*.f64 (-.f64 (*.f64 (neg.f64 x.re) (neg.f64 x.re)) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 (neg.f64 x.re) x.im) (*.f64 x.im (neg.f64 x.re))) (neg.f64 x.re))))
(neg.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) (neg.f64 x.im))) (neg.f64 x.im)) (*.f64 (+.f64 (*.f64 x.re (neg.f64 x.im)) (*.f64 (neg.f64 x.im) x.re)) x.re)))
(+.f64 (*.f64 (-.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) (*.f64 (+.f64 (*.f64 x.im x.re) (*.f64 x.re x.im)) x.im))
Outputs
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(fma.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im (*.f64 x.re (fma.f64 x.re x.im (*.f64 x.re x.im))))
(fma.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.re x.im)) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(fma.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(-.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(fma.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im (*.f64 x.re (fma.f64 x.re x.im (*.f64 x.re x.im))))
(fma.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.re x.im)) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(fma.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(-.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(+.f64 (*.f64 (-.f64 (*.f64 (neg.f64 x.re) (neg.f64 x.re)) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 (neg.f64 x.re) x.im) (*.f64 x.im (neg.f64 x.re))) (neg.f64 x.re)))
(fma.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im (*.f64 x.re (fma.f64 x.re x.im (*.f64 x.re x.im))))
(fma.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.re x.im)) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(fma.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(-.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) (neg.f64 x.im))) (neg.f64 x.im)) (*.f64 (+.f64 (*.f64 x.re (neg.f64 x.im)) (*.f64 (neg.f64 x.im) x.re)) x.re))
(fma.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im) (*.f64 x.re (fma.f64 x.re (neg.f64 x.im) (*.f64 x.re (neg.f64 x.im)))))
(fma.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.re (neg.f64 x.im))) (*.f64 x.im (-.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))))
(fma.f64 x.im (-.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal -2 binary64))))
(+.f64 (pow.f64 x.im #s(literal 3 binary64)) (*.f64 (*.f64 x.re (*.f64 x.re (neg.f64 x.im))) #s(literal 3 binary64)))
(-.f64 (pow.f64 x.im #s(literal 3 binary64)) (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))))
(neg.f64 (+.f64 (*.f64 (-.f64 (*.f64 (neg.f64 x.re) (neg.f64 x.re)) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 (neg.f64 x.re) x.im) (*.f64 x.im (neg.f64 x.re))) (neg.f64 x.re))))
(fma.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im) (*.f64 x.re (fma.f64 x.re (neg.f64 x.im) (*.f64 x.re (neg.f64 x.im)))))
(fma.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.re (neg.f64 x.im))) (*.f64 x.im (-.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))))
(fma.f64 x.im (-.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal -2 binary64))))
(+.f64 (pow.f64 x.im #s(literal 3 binary64)) (*.f64 (*.f64 x.re (*.f64 x.re (neg.f64 x.im))) #s(literal 3 binary64)))
(-.f64 (pow.f64 x.im #s(literal 3 binary64)) (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))))
(neg.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) (neg.f64 x.im))) (neg.f64 x.im)) (*.f64 (+.f64 (*.f64 x.re (neg.f64 x.im)) (*.f64 (neg.f64 x.im) x.re)) x.re)))
(fma.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im (*.f64 x.re (fma.f64 x.re x.im (*.f64 x.re x.im))))
(fma.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.re x.im)) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(fma.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(-.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(+.f64 (*.f64 (-.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) (*.f64 (+.f64 (*.f64 x.im x.re) (*.f64 x.re x.im)) x.im))
(fma.f64 (-.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re (*.f64 x.im (fma.f64 x.re x.im (*.f64 x.re x.im))))
(fma.f64 x.re (-.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)) (*.f64 x.im (*.f64 #s(literal 2 binary64) (*.f64 x.re x.im))))
(fma.f64 x.re (-.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)) (*.f64 (*.f64 x.im x.im) (*.f64 #s(literal 2 binary64) x.re)))
(-.f64 (*.f64 (*.f64 x.re (*.f64 x.im x.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(-.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 3 binary64)))) (pow.f64 x.re #s(literal 3 binary64)))
Symmetry

(abs x.re)

(negabs x.im)

Compiler

Compiled 157 to 35 computations (77.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
Operation ival-mult, time spent: 28.0ms, 69.0% of total-time
Operation ival-add, time spent: 9.0ms, 22.0% of total-time
Operation ival-sub, time spent: 3.0ms, 7.0% of total-time
Operation const, time spent: 1.0ms, 2.0% of total-time

eval1.0ms (0%)

Compiler

Compiled 73 to 30 computations (58.9% saved)

prune4.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
83.7%
(fma.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
83.0%
(-.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
83.1%
(-.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
82.1%
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Compiler

Compiled 65 to 39 computations (40% saved)

localize196.0ms (2.9%)

Localize:

Found 13 expressions with local error:

NewAccuracyProgram
95.4%
(*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
92.1%
(fma.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
91.8%
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
99.8%
(*.f64 x.re (*.f64 x.re x.im))
99.8%
(*.f64 (*.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64))
84.7%
(-.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
99.8%
(*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))))
99.7%
(*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))
84.7%
(-.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
99.8%
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
95.4%
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
91.8%
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
90.5%
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Compiler

Compiled 181 to 53 computations (70.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 81.0ms
Operation ival-mult, time spent: 48.0ms, 59.0% of total-time
Operation ival-pow, time spent: 17.0ms, 21.0% of total-time
Operation ival-add, time spent: 5.0ms, 6.0% of total-time
Operation ival-sub, time spent: 4.0ms, 5.0% of total-time
Operation composed, time spent: 4.0ms, 5.0% of total-time
Operation const, time spent: 3.0ms, 4.0% of total-time

series175.0ms (2.6%)

Counts
13 → 312
Calls
Call 1
Inputs
#<alt (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))>
#<alt (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))>
#<alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)>
#<alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)>
#<alt (-.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))>
#<alt (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))))>
#<alt (-.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 (*.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64))>
#<alt (*.f64 x.re (*.f64 x.re x.im))>
#<alt (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))>
#<alt (fma.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))>
#<alt (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.im))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.im))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.im))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.im))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.im))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.im))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))>
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#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
Calls

78 calls:

TimeVariablePointExpression
142.0ms
x.re
@inf
(- (* x.re (* x.im (* x.re 3))) (pow x.im 3))
2.0ms
x.re
@0
(* x.im (* x.re 3))
1.0ms
x.im
@-inf
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
1.0ms
x.re
@0
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
1.0ms
x.im
@0
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

rewrite490.0ms (7.2%)

Algorithm
batch-egg-rewrite
Rules
910×log1p-expm1-u
251×associate-*r*
209×expm1-log1p-u
203×add-exp-log
202×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031464
1560404
26632404
Stop Event
node limit
Counts
13 → 367
Calls
Call 1
Inputs
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(-.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))))
(-.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 (*.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64))
(*.f64 x.re (*.f64 x.re x.im))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(fma.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(*.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(*.f64 (cbrt.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))) (cbrt.f64 (pow.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(*.f64 (sqrt.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))) (sqrt.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(*.f64 (+.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))))
(*.f64 (-.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))) (+.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (-.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (-.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (neg.f64 (-.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64))) (-.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(pow.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))))
(cbrt.f64 (pow.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(log1p.f64 (expm1.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(exp.f64 (log.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) x.im (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (cbrt.f64 x.re)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (sqrt.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (sqrt.f64 x.re)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (sqrt.f64 x.re)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(+.f64 (pow.f64 x.re #s(literal 2 binary64)) (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(+.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64)))))
(+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))))
(+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (fma.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.im #s(literal 2 binary64))))
(+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64)))))
(+.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))
(+.f64 (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
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(/.f64 (+.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (-.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (neg.f64 (-.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64))) (-.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(pow.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))))
(cbrt.f64 (pow.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(log1p.f64 (expm1.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(exp.f64 (log.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(+.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 x.im (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64)))))
(+.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))) x.im))
(+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64)))))
(/.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (fma.f64 x.re x.re (pow.f64 x.im #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.im) (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) (fma.f64 x.re x.re (pow.f64 x.im #s(literal 2 binary64))))
(pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.im) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 1 binary64)))

simplify414.0ms (6.1%)

Algorithm
egg-herbie
Rules
84×*-commutative
54×+-commutative
32×fma-undefine
32×sub-neg
24×cube-mult
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053329702
1134129702
Stop Event
unsound
Counts
679 → 331
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.im))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.im))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.im))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.im))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.im))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.im))))
(*.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))
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(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
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(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)))
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(-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))
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(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
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(pow.f64 x.re #s(literal 2 binary64))
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(pow.f64 x.re #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64)))
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(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64)))
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(log1p.f64 (expm1.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))))
(fma.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))))
(fma.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))))
(fma.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.im))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.im))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.im))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.im))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.im))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.im))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.im #s(literal 2 binary64)))))
(*.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 x.im (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 x.im (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 x.im (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))))
(*.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal -3 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))))
(*.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal -3 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))))
(*.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal -3 binary64))))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)))
(neg.f64 (pow.f64 x.im #s(literal 2 binary64)))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))
(pow.f64 x.re #s(literal 2 binary64))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))
(pow.f64 x.re #s(literal 2 binary64))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))
(pow.f64 x.re #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)))
(neg.f64 (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)))
(neg.f64 (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(-.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(-.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(-.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (/.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (/.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (/.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (/.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (/.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (/.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
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(*.f64 x.im (/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) (fma.f64 x.re x.re (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 x.im (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 x.re x.re (pow.f64 x.im #s(literal 2 binary64)))))
(pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(pow.f64 (cbrt.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 3 binary64))
(*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(pow.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(pow.f64 (sqrt.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.im) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)))
(*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(+.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 0 binary64)) #s(literal -1 binary64))
(log1p.f64 (expm1.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 1 binary64)))
(*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))

eval162.0ms (2.4%)

Compiler

Compiled 8999 to 5586 computations (37.9% saved)

prune63.0ms (0.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New3947401
Fresh000
Picked224
Done000
Total3969405
Accuracy
100.0%
Counts
405 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.6%
(fma.f64 (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)) x.re (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
83.0%
(-.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
83.1%
(-.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
83.1%
(-.f64 (*.f64 x.re (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64)))
71.8%
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #s(literal 0 binary64))
86.0%
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
52.4%
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
52.4%
(*.f64 x.im (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
59.6%
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
Compiler

Compiled 198 to 132 computations (33.3% saved)

localize168.0ms (2.5%)

Localize:

Found 9 expressions with local error:

NewAccuracyProgram
89.5%
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
99.7%
(*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))
89.6%
(*.f64 x.im (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
95.4%
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
91.8%
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
100.0%
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
99.8%
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
95.4%
(*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im)
90.5%
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Compiler

Compiled 155 to 52 computations (66.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
Operation ival-mult, time spent: 26.0ms, 42.0% of total-time
Operation ival-pow, time spent: 20.0ms, 32.0% of total-time
Operation ival-add, time spent: 8.0ms, 13.0% of total-time
Operation ival-sub, time spent: 3.0ms, 5.0% of total-time
Operation const, time spent: 3.0ms, 5.0% of total-time
Operation ival-neg, time spent: 1.0ms, 2.0% of total-time

series18.0ms (0.3%)

Counts
6 → 108
Calls
Call 1
Inputs
#<alt (+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))>
#<alt (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im)>
#<alt (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))>
#<alt (*.f64 x.im (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.im (*.f64 x.re (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.re (+.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) (*.f64 x.re (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.re (+.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) (*.f64 x.re (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) x.im) (/.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) x.im) (/.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re)))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) x.im) (/.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re)))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) x.im) (/.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im)))) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) x.re)) (*.f64 #s(literal 2 binary64) x.im))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im)))) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) x.re)) (*.f64 #s(literal 2 binary64) x.im))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (+.f64 (*.f64 x.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (+.f64 (*.f64 x.im (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) x.re)))) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (+.f64 (*.f64 x.im (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) x.re)))) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im)) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (+.f64 (/.f64 x.re x.im) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (+.f64 (/.f64 x.re x.im) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 x.re #s(literal 2 binary64)))) x.im))) x.im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 x.re #s(literal 2 binary64)))) x.im))) x.im)))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.im (*.f64 x.re (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.re (+.f64 (*.f64 x.im x.re) (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.re (+.f64 (*.f64 x.im x.re) (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))))))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (/.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re))))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (/.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im)))) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) x.re))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im)))) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) x.re))))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (+.f64 (*.f64 x.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 x.im (+.f64 (*.f64 x.im (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) x.re)))) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 x.im (+.f64 (*.f64 x.im (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) x.re)))) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im)) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (+.f64 (/.f64 x.re x.im) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (+.f64 (/.f64 x.re x.im) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)) x.im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)) x.im)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
Calls

33 calls:

TimeVariablePointExpression
3.0ms
x.im
@-inf
(+ (* x.re x.im) (* x.im x.re))
1.0ms
x.re
@-inf
(+ (* (* (- x.re x.im) (+ x.re x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
1.0ms
x.re
@0
(+ (* (* (- x.re x.im) (+ x.re x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
1.0ms
x.im
@inf
(+ (* (* (- x.re x.im) (+ x.re x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
1.0ms
x.im
@0
(* (pow x.re 2) (+ x.im (* 2 x.im)))

rewrite172.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
1086×log1p-expm1-u
220×associate-*r*
185×expm1-log1p-u
182×add-cube-cbrt
180×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024210
1420158
26265158
Stop Event
node limit
Counts
6 → 174
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (/.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (-.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(*.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(*.f64 (cbrt.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))) (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(*.f64 (sqrt.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))) (sqrt.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(*.f64 (+.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))))
(*.f64 (-.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))) (+.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (-.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 x.im (*.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (-.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (neg.f64 (-.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64))) (-.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(pow.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))))
(cbrt.f64 (pow.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(log1p.f64 (expm1.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(exp.f64 (log.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) x.im (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (cbrt.f64 x.re)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (cbrt.f64 x.re)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (sqrt.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
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(cbrt.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im #s(literal 3 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x.im #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.f64 x.im (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(fma.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))))

simplify88.0ms (1.3%)

Algorithm
egg-herbie
Rules
99×*-commutative
53×+-commutative
32×distribute-lft-in
31×fma-define
27×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043911162
1138211162
Stop Event
unsound
Counts
282 → 235
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.im (*.f64 x.re (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im)))))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.re (+.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) (*.f64 x.re (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))))))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.re (+.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) (*.f64 x.re (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) x.im) (/.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) x.im) (/.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re)))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) x.im) (/.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re)))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) x.im) (/.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im)))) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) x.re)) (*.f64 #s(literal 2 binary64) x.im))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im)))) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) x.re)) (*.f64 #s(literal 2 binary64) x.im))))
(*.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (+.f64 (*.f64 x.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (+.f64 (*.f64 x.im (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) x.re)))) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (+.f64 (*.f64 x.im (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) x.re)))) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (+.f64 (/.f64 x.re x.im) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (+.f64 (/.f64 x.re x.im) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im)))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 x.re #s(literal 2 binary64)))) x.im))) x.im)))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 x.re #s(literal 2 binary64)))) x.im))) x.im)))))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.im (*.f64 x.re (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im)))))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.re (+.f64 (*.f64 x.im x.re) (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))))))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.re (+.f64 (*.f64 x.im x.re) (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))))))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (/.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re))))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (/.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im)))) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) x.re))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im)))) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) x.re))))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (+.f64 (*.f64 x.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.im (+.f64 (*.f64 x.im (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) x.re)))) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.im (+.f64 (*.f64 x.im (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) x.re)))) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (+.f64 (/.f64 x.re x.im) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (+.f64 (/.f64 x.re x.im) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im)))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)) x.im)))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)) x.im)))))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (/.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (-.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(*.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
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(fabs.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(cbrt.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(hypot.f64 (sqrt.f64 (*.f64 x.re x.im)) (sqrt.f64 (*.f64 x.re x.im)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(exp.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64)))
(fma.f64 x.re x.im (*.f64 x.re x.im))
(fma.f64 x.im x.re (*.f64 x.re x.im))
(fma.f64 #s(literal 1 binary64) (*.f64 x.re x.im) (*.f64 x.re x.im))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.re x.im)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.re x.im)) (*.f64 x.re x.im))
(fma.f64 (sqrt.f64 (*.f64 x.re x.im)) (sqrt.f64 (*.f64 x.re x.im)) (*.f64 x.re x.im))
(+.f64 (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))) (*.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))))))
(/.f64 (-.f64 (*.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))))) (-.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))))
(/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) (fma.f64 x.im x.im (*.f64 (*.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 x.im #s(literal 2 binary64)) x.im))))
(/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (*.f64 x.im #s(literal 3 binary64)) (*.f64 x.im #s(literal -1 binary64)))) (*.f64 x.im #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (pow.f64 x.re #s(literal 2 binary64))) (fma.f64 x.im x.im (*.f64 (*.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 x.im #s(literal 2 binary64)) x.im))))
(/.f64 (*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) (*.f64 x.im #s(literal -1 binary64))) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.im #s(literal -1 binary64)))
(pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x.re (sqrt.f64 (*.f64 x.im #s(literal 3 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x.im) (pow.f64 x.re #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im #s(literal 3 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x.im #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.f64 x.im (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(fma.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x.re (sqrt.f64 #s(literal 3 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x.re #s(literal 4 binary64)) #s(literal 9 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))) (*.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))))))
(/.f64 (-.f64 (*.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))))) (-.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))))
(/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) (fma.f64 x.im x.im (*.f64 (*.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 x.im #s(literal 2 binary64)) x.im))))
(/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (*.f64 x.im #s(literal 3 binary64)) (*.f64 x.im #s(literal -1 binary64)))) (*.f64 x.im #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (pow.f64 x.re #s(literal 2 binary64))) (fma.f64 x.im x.im (*.f64 (*.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 x.im #s(literal 2 binary64)) x.im))))
(/.f64 (*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) (*.f64 x.im #s(literal -1 binary64))) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.im #s(literal -1 binary64)))
(pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x.re (sqrt.f64 (*.f64 x.im #s(literal 3 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x.im) (pow.f64 x.re #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im #s(literal 3 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x.im #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.f64 x.im (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(fma.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
Outputs
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.im (*.f64 x.re (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im)))))
(fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)) (*.f64 (*.f64 x.im x.re) (neg.f64 x.im)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.re (+.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) (*.f64 x.re (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))))))
(fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)) (*.f64 x.re (fma.f64 x.im (neg.f64 x.im) (*.f64 x.re (*.f64 x.im #s(literal 3 binary64))))))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.re (+.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) (*.f64 x.re (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))))))
(fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)) (*.f64 x.re (fma.f64 x.im (neg.f64 x.im) (*.f64 x.re (*.f64 x.im #s(literal 3 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) x.im) (/.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 x.im #s(literal 3 binary64)) (/.f64 (*.f64 x.im (neg.f64 x.im)) x.re)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) x.im) (/.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re)))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) x.im (/.f64 (*.f64 x.im (neg.f64 x.im)) x.re)))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) x.im) (/.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re)))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) x.im (/.f64 (*.f64 x.im (neg.f64 x.im)) x.re)))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) x.im) (/.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 x.im #s(literal 3 binary64)) (/.f64 (*.f64 x.im (neg.f64 x.im)) x.re)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im)))) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) x.re)) (*.f64 #s(literal 2 binary64) x.im))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x.im (neg.f64 x.im)) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) x.re) (*.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im)))) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) x.re)) (*.f64 #s(literal 2 binary64) x.im))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x.im (neg.f64 x.im)) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) x.re) (*.f64 x.im #s(literal 2 binary64)))))
(*.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (+.f64 (*.f64 x.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 x.im (fma.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 x.im (neg.f64 x.re) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (+.f64 (*.f64 x.im (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) x.re)))) (pow.f64 x.re #s(literal 2 binary64)))))
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(cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (*.f64 #s(literal 27 binary64) (pow.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im #s(literal 3 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal 27 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x.im #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal 27 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))))
(expm1.f64 (log1p.f64 (*.f64 x.im (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 1 binary64)))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 x.im (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))

eval131.0ms (1.9%)

Compiler

Compiled 7476 to 4410 computations (41% saved)

prune61.0ms (0.9%)

Pruning

9 alts after pruning (4 fresh and 5 done)

PrunedKeptTotal
New3643367
Fresh112
Picked235
Done022
Total3679376
Accuracy
100.0%
Counts
376 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.0%
(-.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
83.1%
(-.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
83.1%
(-.f64 (*.f64 x.re (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64)))
86.0%
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
80.8%
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal 0 binary64))
83.1%
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.re (+.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) (*.f64 x.re (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))))))
52.4%
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
52.4%
(*.f64 x.im (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
59.6%
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
Compiler

Compiled 122 to 83 computations (32% saved)

localize251.0ms (3.7%)

Localize:

Found 11 expressions with local error:

NewAccuracyProgram
99.8%
(*.f64 x.re (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re)))
99.7%
(*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))
84.7%
(-.f64 (*.f64 x.re (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64)))
100.0%
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
99.8%
(*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)
95.4%
(*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im)
90.5%
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
95.4%
(*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im)
99.8%
(*.f64 x.re (+.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) (*.f64 x.re (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))))
99.7%
(*.f64 x.re (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
84.7%
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.re (+.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) (*.f64 x.re (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))))))
Compiler

Compiled 226 to 97 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 107.0ms
Operation ival-mult, time spent: 59.0ms, 55.0% of total-time
Operation ival-add, time spent: 20.0ms, 19.0% of total-time
Operation ival-pow, time spent: 20.0ms, 19.0% of total-time
Operation const, time spent: 5.0ms, 5.0% of total-time
Operation ival-sub, time spent: 3.0ms, 3.0% of total-time

series29.0ms (0.4%)

Counts
9 → 175
Calls
Call 1
Inputs
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.re (+.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) (*.f64 x.re (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))))))>
#<alt (*.f64 x.re (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))>
#<alt (*.f64 x.re (+.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) (*.f64 x.re (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))))>
#<alt (+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))>
#<alt (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)>
#<alt (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))>
#<alt (-.f64 (*.f64 x.re (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 x.re (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re)))>
Outputs
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.im (*.f64 x.re (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im)))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) x.im) (/.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) x.im) (/.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re)))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) x.im) (/.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re)))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) x.im) (/.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im)))) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) x.re)) (*.f64 #s(literal 2 binary64) x.im))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im)))) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) x.re)) (*.f64 #s(literal 2 binary64) x.im))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 x.im (*.f64 x.re (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) x.im) (/.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) x.im) (/.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) x.im) (/.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) x.im) (/.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) x.im) (/.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) x.im) (/.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.im (*.f64 x.re (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.re (+.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) (*.f64 x.re (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.re (+.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) (*.f64 x.re (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) x.im) (/.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) x.im) (/.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re)))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) x.im) (/.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re)))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) x.im) (/.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im)))) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) x.re)) (*.f64 #s(literal 2 binary64) x.im))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im)))) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) x.re)) (*.f64 #s(literal 2 binary64) x.im))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (+.f64 (*.f64 x.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (+.f64 (*.f64 x.im (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) x.re)))) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (+.f64 (*.f64 x.im (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) x.re)))) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im)) #s(literal 1 binary64)))>
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#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
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#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))>
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#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
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#<alt (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))>
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#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
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#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
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#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
Calls

54 calls:

TimeVariablePointExpression
8.0ms
x.re
@inf
(+ (* (* (- x.re x.im) (+ x.re x.im)) x.im) (* (* (* x.re x.im) 2) x.re))
3.0ms
x.re
@0
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
1.0ms
x.im
@0
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
1.0ms
x.re
@-inf
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
0.0ms
x.re
@0
(* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im)))))

rewrite107.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
273×log1p-expm1-u
273×expm1-log1p-u
271×add-cube-cbrt
265×add-exp-log
265×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033389
1633166
Stop Event
node limit
Counts
9 → 320
Calls
Call 1
Inputs
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.re (+.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) (*.f64 x.re (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))))))
(*.f64 x.re (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
(*.f64 x.re (+.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) (*.f64 x.re (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
(-.f64 (*.f64 x.re (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))
(*.f64 x.re (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re)))
Outputs
(-.f64 (*.f64 x.re (*.f64 x.im x.re)) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x.re (*.f64 x.im x.re) (pow.f64 x.im #s(literal 3 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 2 binary64)) (+.f64 (pow.f64 x.im #s(literal 6 binary64)) (*.f64 (*.f64 x.re (*.f64 x.im x.re)) (pow.f64 x.im #s(literal 3 binary64)))))) (/.f64 (pow.f64 x.im #s(literal 9 binary64)) (+.f64 (pow.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 2 binary64)) (+.f64 (pow.f64 x.im #s(literal 6 binary64)) (*.f64 (*.f64 x.re (*.f64 x.im x.re)) (pow.f64 x.im #s(literal 3 binary64)))))))
(-.f64 (/.f64 (pow.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 2 binary64)) (fma.f64 x.re (*.f64 x.im x.re) (pow.f64 x.im #s(literal 3 binary64)))) (/.f64 (pow.f64 x.im #s(literal 6 binary64)) (fma.f64 x.re (*.f64 x.im x.re) (pow.f64 x.im #s(literal 3 binary64)))))
(-.f64 (/.f64 (pow.f64 x.im #s(literal 6 binary64)) (-.f64 (pow.f64 x.im #s(literal 3 binary64)) (*.f64 x.re (*.f64 x.im x.re)))) (/.f64 (pow.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 2 binary64)) (-.f64 (pow.f64 x.im #s(literal 3 binary64)) (*.f64 x.re (*.f64 x.im x.re)))))
(*.f64 #s(literal 1 binary64) (fma.f64 x.re (*.f64 x.im x.re) (pow.f64 x.im #s(literal 3 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (*.f64 x.im x.re) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x.re (*.f64 x.im x.re) (pow.f64 x.im #s(literal 3 binary64)))))
(*.f64 (pow.f64 (fma.f64 x.re (*.f64 x.im x.re) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x.re (*.f64 x.im x.re) (pow.f64 x.im #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 x.re (*.f64 x.im x.re) (pow.f64 x.im #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 x.re (*.f64 x.im x.re) (pow.f64 x.im #s(literal 3 binary64)))))
(*.f64 (+.f64 (pow.f64 x.im #s(literal 9 binary64)) (pow.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x.im #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (*.f64 x.re (*.f64 x.im x.re)))))))
(*.f64 (+.f64 (pow.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 2 binary64)) (+.f64 (pow.f64 x.im #s(literal 6 binary64)) (*.f64 (*.f64 x.re (*.f64 x.im x.re)) (pow.f64 x.im #s(literal 3 binary64)))))))
(*.f64 (-.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x.im #s(literal 3 binary64)) (*.f64 x.re (*.f64 x.im x.re)))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x.re (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3/2 binary64))) (-.f64 (sqrt.f64 (*.f64 x.re (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3/2 binary64))))
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(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x.im x.re)))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x.im x.re)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x.im x.re))))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sqrt.f64 (*.f64 x.im x.re))) (sqrt.f64 (*.f64 x.im x.re))))
(+.f64 (*.f64 x.im x.re) #s(literal 0 binary64))
(+.f64 (*.f64 x.im x.re) (fma.f64 (neg.f64 (*.f64 x.im x.re)) #s(literal 3 binary64) (*.f64 x.im x.re)))
(+.f64 (*.f64 x.im x.re) (fma.f64 x.im x.re (*.f64 x.im x.re)))
(+.f64 (*.f64 x.im x.re) (fma.f64 (neg.f64 x.re) x.im (*.f64 x.im x.re)))
(+.f64 (*.f64 x.im x.re) (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.re) (*.f64 x.im x.re)))
(+.f64 (*.f64 x.im x.re) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x.im x.re))) (sqrt.f64 (*.f64 x.im x.re)) (*.f64 x.im x.re)))
(+.f64 (*.f64 (*.f64 x.im x.re) #s(literal 1 binary64)) #s(literal 0 binary64))
(+.f64 (fma.f64 x.im #s(literal 0 binary64) (neg.f64 (*.f64 (*.f64 x.im x.re) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (*.f64 x.im x.re)) #s(literal 1 binary64) (*.f64 (*.f64 x.im x.re) #s(literal 1 binary64))))
(+.f64 (fma.f64 x.im #s(literal 0 binary64) (neg.f64 (*.f64 (cbrt.f64 (*.f64 x.im x.re)) (pow.f64 (cbrt.f64 (*.f64 x.im x.re)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x.im x.re))) (pow.f64 (cbrt.f64 (*.f64 x.im x.re)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x.im x.re)) (pow.f64 (cbrt.f64 (*.f64 x.im x.re)) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 0 binary64) x.im (neg.f64 (*.f64 (*.f64 x.im x.re) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (*.f64 x.im x.re)) #s(literal 1 binary64) (*.f64 (*.f64 x.im x.re) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 0 binary64) x.im (neg.f64 (*.f64 (cbrt.f64 (*.f64 x.im x.re)) (pow.f64 (cbrt.f64 (*.f64 x.im x.re)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x.im x.re))) (pow.f64 (cbrt.f64 (*.f64 x.im x.re)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x.im x.re)) (pow.f64 (cbrt.f64 (*.f64 x.im x.re)) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) #s(literal 0 binary64) (neg.f64 (*.f64 (*.f64 x.im x.re) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (*.f64 x.im x.re)) #s(literal 1 binary64) (*.f64 (*.f64 x.im x.re) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) #s(literal 0 binary64) (neg.f64 (*.f64 (cbrt.f64 (*.f64 x.im x.re)) (pow.f64 (cbrt.f64 (*.f64 x.im x.re)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x.im x.re))) (pow.f64 (cbrt.f64 (*.f64 x.im x.re)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x.im x.re)) (pow.f64 (cbrt.f64 (*.f64 x.im x.re)) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) (neg.f64 (*.f64 (*.f64 x.im x.re) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (*.f64 x.im x.re)) #s(literal 1 binary64) (*.f64 (*.f64 x.im x.re) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) (neg.f64 (*.f64 (cbrt.f64 (*.f64 x.im x.re)) (pow.f64 (cbrt.f64 (*.f64 x.im x.re)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x.im x.re))) (pow.f64 (cbrt.f64 (*.f64 x.im x.re)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x.im x.re)) (pow.f64 (cbrt.f64 (*.f64 x.im x.re)) #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (*.f64 x.im x.re))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im x.re))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x.im x.re)) (*.f64 x.im x.re))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im x.re) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))
(/.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) (*.f64 x.im x.re))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) (neg.f64 (*.f64 x.im x.re)))
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x.im x.re) #s(literal 0 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 x.im x.re) #s(literal 0 binary64)))
(pow.f64 (*.f64 x.im x.re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im x.re)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.im x.re)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.im) x.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im x.re))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x.im) x.re)))
(cbrt.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.im x.re)))
(log1p.f64 (expm1.f64 (*.f64 x.im x.re)))
(exp.f64 (log.f64 (*.f64 x.im x.re)))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im x.re)) #s(literal 1 binary64)))
(fma.f64 x.im x.re #s(literal 0 binary64))
(fma.f64 x.im #s(literal 0 binary64) (*.f64 x.im x.re))
(fma.f64 x.im #s(literal 0 binary64) (neg.f64 (*.f64 x.im x.re)))
(fma.f64 #s(literal 3 binary64) (*.f64 x.im x.re) #s(literal 0 binary64))
(fma.f64 x.re x.im #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) x.im (*.f64 x.im x.re))
(fma.f64 #s(literal 0 binary64) x.im (neg.f64 (*.f64 x.im x.re)))
(fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) (*.f64 x.im x.re))
(fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) (neg.f64 (*.f64 x.im x.re)))
(fma.f64 (*.f64 x.im x.re) #s(literal 3 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 0 binary64) (*.f64 x.im x.re))
(fma.f64 #s(literal 1 binary64) #s(literal 0 binary64) (neg.f64 (*.f64 x.im x.re)))
(fma.f64 #s(literal 1 binary64) (*.f64 x.im x.re) #s(literal 0 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.im x.re)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.im x.re)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (*.f64 x.im x.re)) (sqrt.f64 (*.f64 x.im x.re)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x.re (*.f64 x.im x.re)))
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 1 binary64)))
(+.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 0 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re (*.f64 x.im x.re)))) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 x.re (*.f64 x.im x.re))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x.re (*.f64 x.im x.re))))
(pow.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.re (*.f64 x.im x.re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.re (*.f64 x.im x.re))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.re) (*.f64 x.im x.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re (*.f64 x.im x.re)))))
(cbrt.f64 (pow.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.re (*.f64 x.im x.re))))
(log1p.f64 (expm1.f64 (*.f64 x.re (*.f64 x.im x.re))))
(exp.f64 (log.f64 (*.f64 x.re (*.f64 x.im x.re))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re (*.f64 x.im x.re))) #s(literal 1 binary64)))
(fma.f64 x.re #s(literal 0 binary64) (*.f64 x.re (*.f64 x.im x.re)))
(fma.f64 #s(literal 0 binary64) x.re (*.f64 x.re (*.f64 x.im x.re)))

simplify205.0ms (3%)

Algorithm
egg-herbie
Rules
605×fma-neg
490×cancel-sign-sub-inv
422×distribute-lft-neg-in
409×distribute-rgt-neg-in
346×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
049216660
1128515288
2465515262
Stop Event
node limit
Counts
495 → 263
Calls
Call 1
Inputs
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.im (*.f64 x.re (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im)))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) x.im) (/.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) x.im) (/.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re)))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) x.im) (/.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re)))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) x.im) (/.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im)))) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) x.re)) (*.f64 #s(literal 2 binary64) x.im))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im)))) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) x.re)) (*.f64 #s(literal 2 binary64) x.im))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))
(*.f64 x.im (*.f64 x.re (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) x.im) (/.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) x.im) (/.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) x.im) (/.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) x.im) (/.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) x.im) (/.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) x.im) (/.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.im (*.f64 x.re (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im)))))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.re (+.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) (*.f64 x.re (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))))))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.re (+.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) (*.f64 x.re (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))))))
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(+.f64 (*.f64 x.im x.re) #s(literal 0 binary64))
(+.f64 (*.f64 x.im x.re) (fma.f64 (neg.f64 (*.f64 x.im x.re)) #s(literal 3 binary64) (*.f64 x.im x.re)))
(+.f64 (*.f64 x.im x.re) (fma.f64 x.im x.re (*.f64 x.im x.re)))
(+.f64 (*.f64 x.im x.re) (fma.f64 (neg.f64 x.re) x.im (*.f64 x.im x.re)))
(+.f64 (*.f64 x.im x.re) (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.re) (*.f64 x.im x.re)))
(+.f64 (*.f64 x.im x.re) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x.im x.re))) (sqrt.f64 (*.f64 x.im x.re)) (*.f64 x.im x.re)))
(+.f64 (*.f64 (*.f64 x.im x.re) #s(literal 1 binary64)) #s(literal 0 binary64))
(+.f64 (fma.f64 x.im #s(literal 0 binary64) (neg.f64 (*.f64 (*.f64 x.im x.re) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (*.f64 x.im x.re)) #s(literal 1 binary64) (*.f64 (*.f64 x.im x.re) #s(literal 1 binary64))))
(+.f64 (fma.f64 x.im #s(literal 0 binary64) (neg.f64 (*.f64 (cbrt.f64 (*.f64 x.im x.re)) (pow.f64 (cbrt.f64 (*.f64 x.im x.re)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x.im x.re))) (pow.f64 (cbrt.f64 (*.f64 x.im x.re)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x.im x.re)) (pow.f64 (cbrt.f64 (*.f64 x.im x.re)) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 0 binary64) x.im (neg.f64 (*.f64 (*.f64 x.im x.re) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (*.f64 x.im x.re)) #s(literal 1 binary64) (*.f64 (*.f64 x.im x.re) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 0 binary64) x.im (neg.f64 (*.f64 (cbrt.f64 (*.f64 x.im x.re)) (pow.f64 (cbrt.f64 (*.f64 x.im x.re)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x.im x.re))) (pow.f64 (cbrt.f64 (*.f64 x.im x.re)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x.im x.re)) (pow.f64 (cbrt.f64 (*.f64 x.im x.re)) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) #s(literal 0 binary64) (neg.f64 (*.f64 (*.f64 x.im x.re) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (*.f64 x.im x.re)) #s(literal 1 binary64) (*.f64 (*.f64 x.im x.re) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) #s(literal 0 binary64) (neg.f64 (*.f64 (cbrt.f64 (*.f64 x.im x.re)) (pow.f64 (cbrt.f64 (*.f64 x.im x.re)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x.im x.re))) (pow.f64 (cbrt.f64 (*.f64 x.im x.re)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x.im x.re)) (pow.f64 (cbrt.f64 (*.f64 x.im x.re)) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) (neg.f64 (*.f64 (*.f64 x.im x.re) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (*.f64 x.im x.re)) #s(literal 1 binary64) (*.f64 (*.f64 x.im x.re) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) (neg.f64 (*.f64 (cbrt.f64 (*.f64 x.im x.re)) (pow.f64 (cbrt.f64 (*.f64 x.im x.re)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x.im x.re))) (pow.f64 (cbrt.f64 (*.f64 x.im x.re)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x.im x.re)) (pow.f64 (cbrt.f64 (*.f64 x.im x.re)) #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (*.f64 x.im x.re))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im x.re))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x.im x.re)) (*.f64 x.im x.re))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im x.re) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))
(/.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) (*.f64 x.im x.re))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) (neg.f64 (*.f64 x.im x.re)))
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x.im x.re) #s(literal 0 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 x.im x.re) #s(literal 0 binary64)))
(pow.f64 (*.f64 x.im x.re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im x.re)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.im x.re)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.im) x.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im x.re))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x.im) x.re)))
(cbrt.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.im x.re)))
(log1p.f64 (expm1.f64 (*.f64 x.im x.re)))
(exp.f64 (log.f64 (*.f64 x.im x.re)))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im x.re)) #s(literal 1 binary64)))
(fma.f64 x.im x.re #s(literal 0 binary64))
(fma.f64 x.im #s(literal 0 binary64) (*.f64 x.im x.re))
(fma.f64 x.im #s(literal 0 binary64) (neg.f64 (*.f64 x.im x.re)))
(fma.f64 #s(literal 3 binary64) (*.f64 x.im x.re) #s(literal 0 binary64))
(fma.f64 x.re x.im #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) x.im (*.f64 x.im x.re))
(fma.f64 #s(literal 0 binary64) x.im (neg.f64 (*.f64 x.im x.re)))
(fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) (*.f64 x.im x.re))
(fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) (neg.f64 (*.f64 x.im x.re)))
(fma.f64 (*.f64 x.im x.re) #s(literal 3 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 0 binary64) (*.f64 x.im x.re))
(fma.f64 #s(literal 1 binary64) #s(literal 0 binary64) (neg.f64 (*.f64 x.im x.re)))
(fma.f64 #s(literal 1 binary64) (*.f64 x.im x.re) #s(literal 0 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.im x.re)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.im x.re)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (*.f64 x.im x.re)) (sqrt.f64 (*.f64 x.im x.re)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x.re (*.f64 x.im x.re)))
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 1 binary64)))
(+.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 0 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re (*.f64 x.im x.re)))) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 x.re (*.f64 x.im x.re))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x.re (*.f64 x.im x.re))))
(pow.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.re (*.f64 x.im x.re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.re (*.f64 x.im x.re))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.re) (*.f64 x.im x.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re (*.f64 x.im x.re)))))
(cbrt.f64 (pow.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.re (*.f64 x.im x.re))))
(log1p.f64 (expm1.f64 (*.f64 x.re (*.f64 x.im x.re))))
(exp.f64 (log.f64 (*.f64 x.re (*.f64 x.im x.re))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re (*.f64 x.im x.re))) #s(literal 1 binary64)))
(fma.f64 x.re #s(literal 0 binary64) (*.f64 x.re (*.f64 x.im x.re)))
(fma.f64 #s(literal 0 binary64) x.re (*.f64 x.re (*.f64 x.im x.re)))
Outputs
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x.im))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 x.im (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 x.im (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 x.im (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.im (*.f64 x.re (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im)))))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x.im))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) x.im) (/.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x.im))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) x.im) (/.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re)))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) x.im (*.f64 x.im (/.f64 (*.f64 #s(literal 0 binary64) x.im) x.re))))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) x.im) (/.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re)))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) x.im (*.f64 x.im (/.f64 (*.f64 #s(literal 0 binary64) x.im) x.re))))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x.im))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) x.im) (/.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x.im))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im)))) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) x.re)) (*.f64 #s(literal 2 binary64) x.im))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) x.im (*.f64 x.im (/.f64 (*.f64 #s(literal 0 binary64) x.im) x.re))))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im)))) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) x.re)) (*.f64 #s(literal 2 binary64) x.im))))
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(log.f64 (pow.f64 (exp.f64 x.im) x.re))
(*.f64 x.im x.re)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im x.re))))
(*.f64 x.im x.re)
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x.im) x.re)))
(*.f64 x.im (neg.f64 x.re))
(cbrt.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)))
(*.f64 x.im x.re)
(expm1.f64 (log1p.f64 (*.f64 x.im x.re)))
(log1p.f64 (expm1.f64 (*.f64 x.im x.re)))
(*.f64 x.im x.re)
(exp.f64 (log.f64 (*.f64 x.im x.re)))
(*.f64 x.im x.re)
(exp.f64 (*.f64 (log.f64 (*.f64 x.im x.re)) #s(literal 1 binary64)))
(*.f64 x.im x.re)
(fma.f64 x.im x.re #s(literal 0 binary64))
(*.f64 x.im x.re)
(fma.f64 x.im #s(literal 0 binary64) (*.f64 x.im x.re))
(*.f64 x.im x.re)
(fma.f64 x.im #s(literal 0 binary64) (neg.f64 (*.f64 x.im x.re)))
(*.f64 x.im (neg.f64 x.re))
(fma.f64 #s(literal 3 binary64) (*.f64 x.im x.re) #s(literal 0 binary64))
(*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))
(*.f64 x.im (*.f64 #s(literal 3 binary64) x.re))
(fma.f64 x.re x.im #s(literal 0 binary64))
(*.f64 x.im x.re)
(fma.f64 #s(literal 0 binary64) x.im (*.f64 x.im x.re))
(*.f64 x.im x.re)
(fma.f64 #s(literal 0 binary64) x.im (neg.f64 (*.f64 x.im x.re)))
(*.f64 x.im (neg.f64 x.re))
(fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) (*.f64 x.im x.re))
(*.f64 x.im x.re)
(fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) (neg.f64 (*.f64 x.im x.re)))
(*.f64 x.im (neg.f64 x.re))
(fma.f64 (*.f64 x.im x.re) #s(literal 3 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))
(*.f64 x.im (*.f64 #s(literal 3 binary64) x.re))
(fma.f64 #s(literal 1 binary64) #s(literal 0 binary64) (*.f64 x.im x.re))
(*.f64 x.im x.re)
(fma.f64 #s(literal 1 binary64) #s(literal 0 binary64) (neg.f64 (*.f64 x.im x.re)))
(*.f64 x.im (neg.f64 x.re))
(fma.f64 #s(literal 1 binary64) (*.f64 x.im x.re) #s(literal 0 binary64))
(*.f64 x.im x.re)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.im x.re)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.im x.re)) #s(literal 0 binary64))
(*.f64 x.im x.re)
(fma.f64 (sqrt.f64 (*.f64 x.im x.re)) (sqrt.f64 (*.f64 x.im x.re)) #s(literal 0 binary64))
(*.f64 x.im x.re)
(+.f64 #s(literal 0 binary64) (*.f64 x.re (*.f64 x.im x.re)))
(*.f64 x.re (*.f64 x.im x.re))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 1 binary64)))
(*.f64 x.re (*.f64 x.im x.re))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(+.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 0 binary64))
(*.f64 x.re (*.f64 x.im x.re))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re (*.f64 x.im x.re)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 x.re (*.f64 x.im x.re))))
(expm1.f64 (log1p.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 x.re (*.f64 x.im x.re))))))
(*.f64 x.re (*.f64 x.im x.re))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x.re (*.f64 x.im x.re))))
(/.f64 (neg.f64 (pow.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 2 binary64))) (neg.f64 (*.f64 x.re (*.f64 x.im x.re))))
(/.f64 (neg.f64 (pow.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (neg.f64 (pow.f64 x.re #s(literal 2 binary64))) x.im))
(/.f64 (pow.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(pow.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 1 binary64))
(*.f64 x.re (*.f64 x.im x.re))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 x.re (*.f64 x.im x.re))) #s(literal 3 binary64))
(*.f64 x.re (*.f64 x.im x.re))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(pow.f64 (pow.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x.re (*.f64 x.im x.re))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (*.f64 x.re (*.f64 x.im x.re))) #s(literal 2 binary64))
(*.f64 x.re (*.f64 x.im x.re))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 2 binary64)))
(*.f64 x.re (*.f64 x.im x.re))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.re) (*.f64 x.im x.re)))
(*.f64 x.re (*.f64 x.im x.re))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re (*.f64 x.im x.re)))))
(*.f64 x.re (*.f64 x.im x.re))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64)))
(*.f64 x.re (*.f64 x.im x.re))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.re (*.f64 x.im x.re))))
(expm1.f64 (log1p.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x.re (*.f64 x.im x.re))))
(*.f64 x.re (*.f64 x.im x.re))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(exp.f64 (log.f64 (*.f64 x.re (*.f64 x.im x.re))))
(*.f64 x.re (*.f64 x.im x.re))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re (*.f64 x.im x.re))) #s(literal 1 binary64)))
(*.f64 x.re (*.f64 x.im x.re))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(fma.f64 x.re #s(literal 0 binary64) (*.f64 x.re (*.f64 x.im x.re)))
(*.f64 x.re (*.f64 x.im x.re))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(fma.f64 #s(literal 0 binary64) x.re (*.f64 x.re (*.f64 x.im x.re)))
(*.f64 x.re (*.f64 x.im x.re))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))

eval135.0ms (2%)

Compiler

Compiled 8357 to 4756 computations (43.1% saved)

prune57.0ms (0.8%)

Pruning

10 alts after pruning (2 fresh and 8 done)

PrunedKeptTotal
New4132415
Fresh000
Picked044
Done145
Total41410424
Accuracy
100.0%
Counts
424 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.0%
(-.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
83.1%
(-.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
83.1%
(-.f64 (*.f64 x.re (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64)))
86.0%
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
80.8%
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal 0 binary64))
83.1%
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.re (+.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) (*.f64 x.re (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))))))
52.4%
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x.im))
38.2%
(*.f64 (+.f64 x.im x.re) (*.f64 (+.f64 x.im x.re) x.im))
52.4%
(*.f64 x.im (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
59.6%
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
Compiler

Compiled 131 to 87 computations (33.6% saved)

localize54.0ms (0.8%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
89.5%
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x.im))
100.0%
(*.f64 (+.f64 x.im x.re) x.im)
99.9%
(*.f64 (+.f64 x.im x.re) (*.f64 (+.f64 x.im x.re) x.im))
Compiler

Compiled 39 to 17 computations (56.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
Operation ival-mult, time spent: 9.0ms, 51.0% of total-time
Operation ival-pow, time spent: 5.0ms, 29.0% of total-time
Operation ival-add, time spent: 2.0ms, 11.0% of total-time
Operation const, time spent: 1.0ms, 6.0% of total-time

series8.0ms (0.1%)

Counts
3 → 72
Calls
Call 1
Inputs
#<alt (*.f64 (+.f64 x.im x.re) (*.f64 (+.f64 x.im x.re) x.im))>
#<alt (*.f64 (+.f64 x.im x.re) x.im)>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x.im))>
Outputs
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re)) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 x.im (+.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal 2 binary64) x.re))) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 x.im (+.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal 2 binary64) x.re))) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (pow.f64 x.im #s(literal 3 binary64))>
#<alt (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x.re x.im))))>
#<alt (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 x.re x.im)) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 x.re x.im)) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))>
#<alt (pow.f64 x.im #s(literal 3 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x.re x.im)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)) x.im)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)) x.im)) #s(literal 1 binary64))))>
#<alt (pow.f64 x.im #s(literal 3 binary64))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 x.re (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 x.re (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re))) x.re))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re))) x.re))))>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im (+.f64 x.im x.re))>
#<alt (*.f64 x.im (+.f64 x.im x.re))>
#<alt (*.f64 x.im (+.f64 x.im x.re))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 x.im x.re) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 x.im x.re) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 x.im x.re) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.re (+.f64 x.im (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)))>
#<alt (*.f64 x.re (+.f64 x.im (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)))>
#<alt (*.f64 x.re (+.f64 x.im (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)))>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
Calls

18 calls:

TimeVariablePointExpression
1.0ms
x.re
@0
(* (+ x.im x.re) (* (+ x.im x.re) x.im))
1.0ms
x.im
@-inf
(* (+ x.im x.re) (* (+ x.im x.re) x.im))
0.0ms
x.im
@inf
(* (+ x.im x.re) (* (+ x.im x.re) x.im))
0.0ms
x.im
@0
(* (+ x.im x.re) (* (+ x.im x.re) x.im))
0.0ms
x.re
@-inf
(* (+ x.im x.re) (* (+ x.im x.re) x.im))

rewrite103.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
849×log1p-expm1-u
849×expm1-log1p-u
524×prod-diff
494×log-prod
322×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01587
118275
2241175
Stop Event
node limit
Counts
3 → 91
Calls
Call 1
Inputs
(*.f64 (+.f64 x.im x.re) (*.f64 (+.f64 x.im x.re) x.im))
(*.f64 (+.f64 x.im x.re) x.im)
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x.im))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x.im (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) x.im) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) x.re) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) x.im))
(+.f64 (*.f64 x.im (*.f64 x.im (+.f64 x.im x.re))) (*.f64 x.re (*.f64 x.im (+.f64 x.im x.re))))
(+.f64 (*.f64 x.re (*.f64 x.im (+.f64 x.im x.re))) (*.f64 x.im (*.f64 x.im (+.f64 x.im x.re))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) x.im)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) x.im)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) x.im))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) x.im))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) x.im))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (fma.f64 x.re (-.f64 x.re x.im) (pow.f64 x.im #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (-.f64 x.im x.re))
(/.f64 (*.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (*.f64 x.im (+.f64 x.im x.re))) (fma.f64 x.re (-.f64 x.re x.im) (pow.f64 x.im #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.im (+.f64 x.im x.re))) (-.f64 x.im x.re))
(pow.f64 (*.f64 x.im (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (+.f64 x.im x.re) (sqrt.f64 x.im)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.im (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) x.im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x.im (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (+.f64 x.im x.re)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x.im (+.f64 x.im x.re)) #s(literal 3 binary64)) (pow.f64 (+.f64 x.im x.re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.im (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x.im (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x.im (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 x.im (*.f64 x.im (+.f64 x.im x.re)) (*.f64 x.re (*.f64 x.im (+.f64 x.im x.re))))
(fma.f64 x.re (*.f64 x.im (+.f64 x.im x.re)) (*.f64 x.im (*.f64 x.im (+.f64 x.im x.re))))
(fma.f64 (*.f64 x.im (+.f64 x.im x.re)) x.im (*.f64 (*.f64 x.im (+.f64 x.im x.re)) x.re))
(fma.f64 (*.f64 x.im (+.f64 x.im x.re)) x.re (*.f64 (*.f64 x.im (+.f64 x.im x.re)) x.im))
(+.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.im x.re))
(+.f64 (*.f64 x.im x.re) (pow.f64 x.im #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x.im (+.f64 x.im x.re)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x.im) (+.f64 x.im x.re))) (cbrt.f64 (pow.f64 (exp.f64 x.im) (+.f64 x.im x.re))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x.im) (+.f64 x.im x.re)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x.im) (+.f64 x.im x.re)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x.im) (+.f64 x.im x.re)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im (+.f64 x.im x.re)))) #s(literal 1 binary64))
(/.f64 (*.f64 x.im (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (fma.f64 x.re (-.f64 x.re x.im) (pow.f64 x.im #s(literal 2 binary64))))
(/.f64 (*.f64 x.im (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (-.f64 x.im x.re))
(/.f64 (*.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) x.im) (fma.f64 x.re (-.f64 x.re x.im) (pow.f64 x.im #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) x.im) (-.f64 x.im x.re))
(pow.f64 (*.f64 x.im (+.f64 x.im x.re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im (+.f64 x.im x.re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im (+.f64 x.im x.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.im (+.f64 x.im x.re))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.im (+.f64 x.im x.re)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.im) (+.f64 x.im x.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (+.f64 x.im x.re)))))
(log.f64 (*.f64 (exp.f64 (pow.f64 x.im #s(literal 2 binary64))) (exp.f64 (*.f64 x.im x.re))))
(log.f64 (*.f64 (exp.f64 (*.f64 x.im x.re)) (exp.f64 (pow.f64 x.im #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x.im (+.f64 x.im x.re)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (+.f64 x.im x.re) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.im (+.f64 x.im x.re))))
(log1p.f64 (expm1.f64 (*.f64 x.im (+.f64 x.im x.re))))
(exp.f64 (log.f64 (*.f64 x.im (+.f64 x.im x.re))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im (+.f64 x.im x.re))) #s(literal 1 binary64)))
(fma.f64 x.im x.im (*.f64 x.im x.re))
(fma.f64 x.im x.re (pow.f64 x.im #s(literal 2 binary64)))
(fma.f64 x.re x.im (pow.f64 x.im #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.im x.re))
(fma.f64 #s(literal 1 binary64) (*.f64 x.im x.re) (pow.f64 x.im #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x.im) x.im) (*.f64 x.im x.re))
(fma.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x.im) x.re) (pow.f64 x.im #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x.im) (*.f64 (sqrt.f64 x.im) x.im) (*.f64 x.im x.re))
(fma.f64 (sqrt.f64 x.im) (*.f64 (sqrt.f64 x.im) x.re) (pow.f64 x.im #s(literal 2 binary64)))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (*.f64 x.im x.re))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x.im x.re)) (cbrt.f64 (*.f64 x.im x.re))) (cbrt.f64 (*.f64 x.im x.re)) (pow.f64 x.im #s(literal 2 binary64)))
(fma.f64 (*.f64 x.im (sqrt.f64 x.im)) (sqrt.f64 x.im) (*.f64 x.im x.re))
(fma.f64 (sqrt.f64 (*.f64 x.im x.re)) (sqrt.f64 (*.f64 x.im x.re)) (pow.f64 x.im #s(literal 2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 x.im) (sqrt.f64 x.re)) (*.f64 (sqrt.f64 x.im) (sqrt.f64 x.re)) (pow.f64 x.im #s(literal 2 binary64)))
(fma.f64 (*.f64 x.im (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64))) (cbrt.f64 x.im) (*.f64 x.im x.re))
(fma.f64 (*.f64 x.im (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))) (cbrt.f64 x.re) (pow.f64 x.im #s(literal 2 binary64)))
(fma.f64 (*.f64 x.im (sqrt.f64 x.re)) (sqrt.f64 x.re) (pow.f64 x.im #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.im #s(literal 3 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.im #s(literal 3 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.im #s(literal 3 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.im #s(literal 3 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.im #s(literal 3 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x.re (sqrt.f64 (*.f64 x.im #s(literal 3 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 9 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.im #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im #s(literal 3 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x.im #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))))
(exp.f64 (log.f64 (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal 1 binary64)))

simplify120.0ms (1.8%)

Algorithm
egg-herbie
Rules
543×distribute-lft-in
508×distribute-rgt-in
347×associate-/r*
239×fma-neg
224×unswap-sqr
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02885099
16395051
219704991
344614843
Stop Event
node limit
Counts
163 → 155
Calls
Call 1
Inputs
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re)) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.im (+.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal 2 binary64) x.re))) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.im (+.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal 2 binary64) x.re))) (pow.f64 x.re #s(literal 2 binary64))))
(pow.f64 x.im #s(literal 3 binary64))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x.re x.im))))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 x.re x.im)) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 x.re x.im)) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(pow.f64 x.im #s(literal 3 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x.re x.im)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)) x.im)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)) x.im)) #s(literal 1 binary64))))
(pow.f64 x.im #s(literal 3 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.im #s(literal 3 binary64)))
(+.f64 (*.f64 x.re (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64)))
(+.f64 (*.f64 x.re (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re))) x.re))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re))) x.re))))
(*.f64 x.im x.re)
(*.f64 x.im (+.f64 x.im x.re))
(*.f64 x.im (+.f64 x.im x.re))
(*.f64 x.im (+.f64 x.im x.re))
(pow.f64 x.im #s(literal 2 binary64))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))
(pow.f64 x.im #s(literal 2 binary64))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))
(pow.f64 x.im #s(literal 2 binary64))
(+.f64 (*.f64 x.im x.re) (pow.f64 x.im #s(literal 2 binary64)))
(+.f64 (*.f64 x.im x.re) (pow.f64 x.im #s(literal 2 binary64)))
(+.f64 (*.f64 x.im x.re) (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 x.im x.re)
(*.f64 x.re (+.f64 x.im (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)))
(*.f64 x.re (+.f64 x.im (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)))
(*.f64 x.re (+.f64 x.im (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)))
(*.f64 x.im x.re)
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 x.im (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) x.im) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) x.re) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) x.im))
(+.f64 (*.f64 x.im (*.f64 x.im (+.f64 x.im x.re))) (*.f64 x.re (*.f64 x.im (+.f64 x.im x.re))))
(+.f64 (*.f64 x.re (*.f64 x.im (+.f64 x.im x.re))) (*.f64 x.im (*.f64 x.im (+.f64 x.im x.re))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) x.im)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) x.im)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) x.im))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) x.im))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) x.im))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (fma.f64 x.re (-.f64 x.re x.im) (pow.f64 x.im #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (-.f64 x.im x.re))
(/.f64 (*.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (*.f64 x.im (+.f64 x.im x.re))) (fma.f64 x.re (-.f64 x.re x.im) (pow.f64 x.im #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.im (+.f64 x.im x.re))) (-.f64 x.im x.re))
(pow.f64 (*.f64 x.im (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (+.f64 x.im x.re) (sqrt.f64 x.im)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.im (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) x.im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x.im (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (+.f64 x.im x.re)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x.im (+.f64 x.im x.re)) #s(literal 3 binary64)) (pow.f64 (+.f64 x.im x.re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.im (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x.im (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x.im (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 x.im (*.f64 x.im (+.f64 x.im x.re)) (*.f64 x.re (*.f64 x.im (+.f64 x.im x.re))))
(fma.f64 x.re (*.f64 x.im (+.f64 x.im x.re)) (*.f64 x.im (*.f64 x.im (+.f64 x.im x.re))))
(fma.f64 (*.f64 x.im (+.f64 x.im x.re)) x.im (*.f64 (*.f64 x.im (+.f64 x.im x.re)) x.re))
(fma.f64 (*.f64 x.im (+.f64 x.im x.re)) x.re (*.f64 (*.f64 x.im (+.f64 x.im x.re)) x.im))
(+.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.im x.re))
(+.f64 (*.f64 x.im x.re) (pow.f64 x.im #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x.im (+.f64 x.im x.re)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x.im) (+.f64 x.im x.re))) (cbrt.f64 (pow.f64 (exp.f64 x.im) (+.f64 x.im x.re))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x.im) (+.f64 x.im x.re)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x.im) (+.f64 x.im x.re)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x.im) (+.f64 x.im x.re)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im (+.f64 x.im x.re)))) #s(literal 1 binary64))
(/.f64 (*.f64 x.im (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (fma.f64 x.re (-.f64 x.re x.im) (pow.f64 x.im #s(literal 2 binary64))))
(/.f64 (*.f64 x.im (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (-.f64 x.im x.re))
(/.f64 (*.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) x.im) (fma.f64 x.re (-.f64 x.re x.im) (pow.f64 x.im #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) x.im) (-.f64 x.im x.re))
(pow.f64 (*.f64 x.im (+.f64 x.im x.re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im (+.f64 x.im x.re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im (+.f64 x.im x.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.im (+.f64 x.im x.re))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.im (+.f64 x.im x.re)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.im) (+.f64 x.im x.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (+.f64 x.im x.re)))))
(log.f64 (*.f64 (exp.f64 (pow.f64 x.im #s(literal 2 binary64))) (exp.f64 (*.f64 x.im x.re))))
(log.f64 (*.f64 (exp.f64 (*.f64 x.im x.re)) (exp.f64 (pow.f64 x.im #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x.im (+.f64 x.im x.re)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (+.f64 x.im x.re) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.im (+.f64 x.im x.re))))
(log1p.f64 (expm1.f64 (*.f64 x.im (+.f64 x.im x.re))))
(exp.f64 (log.f64 (*.f64 x.im (+.f64 x.im x.re))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im (+.f64 x.im x.re))) #s(literal 1 binary64)))
(fma.f64 x.im x.im (*.f64 x.im x.re))
(fma.f64 x.im x.re (pow.f64 x.im #s(literal 2 binary64)))
(fma.f64 x.re x.im (pow.f64 x.im #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.im x.re))
(fma.f64 #s(literal 1 binary64) (*.f64 x.im x.re) (pow.f64 x.im #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x.im) x.im) (*.f64 x.im x.re))
(fma.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x.im) x.re) (pow.f64 x.im #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x.im) (*.f64 (sqrt.f64 x.im) x.im) (*.f64 x.im x.re))
(fma.f64 (sqrt.f64 x.im) (*.f64 (sqrt.f64 x.im) x.re) (pow.f64 x.im #s(literal 2 binary64)))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (*.f64 x.im x.re))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x.im x.re)) (cbrt.f64 (*.f64 x.im x.re))) (cbrt.f64 (*.f64 x.im x.re)) (pow.f64 x.im #s(literal 2 binary64)))
(fma.f64 (*.f64 x.im (sqrt.f64 x.im)) (sqrt.f64 x.im) (*.f64 x.im x.re))
(fma.f64 (sqrt.f64 (*.f64 x.im x.re)) (sqrt.f64 (*.f64 x.im x.re)) (pow.f64 x.im #s(literal 2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 x.im) (sqrt.f64 x.re)) (*.f64 (sqrt.f64 x.im) (sqrt.f64 x.re)) (pow.f64 x.im #s(literal 2 binary64)))
(fma.f64 (*.f64 x.im (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64))) (cbrt.f64 x.im) (*.f64 x.im x.re))
(fma.f64 (*.f64 x.im (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))) (cbrt.f64 x.re) (pow.f64 x.im #s(literal 2 binary64)))
(fma.f64 (*.f64 x.im (sqrt.f64 x.re)) (sqrt.f64 x.re) (pow.f64 x.im #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.im #s(literal 3 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.im #s(literal 3 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.im #s(literal 3 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.im #s(literal 3 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.im #s(literal 3 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x.re (sqrt.f64 (*.f64 x.im #s(literal 3 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 9 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.im #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im #s(literal 3 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x.im #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))))
(exp.f64 (log.f64 (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal 1 binary64)))
Outputs
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re)) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.im (fma.f64 #s(literal 2 binary64) (*.f64 x.im x.re) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.im (*.f64 x.re (+.f64 x.re (*.f64 x.im #s(literal 2 binary64)))))
(*.f64 x.re (*.f64 x.im (+.f64 x.re (*.f64 x.im #s(literal 2 binary64)))))
(*.f64 (*.f64 x.im x.re) (+.f64 x.re (*.f64 x.im #s(literal 2 binary64))))
(*.f64 x.im (+.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal 2 binary64) x.re))) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.im (fma.f64 x.im (+.f64 x.im (*.f64 x.re #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.im (fma.f64 x.im (fma.f64 x.re #s(literal 2 binary64) x.im) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.im (+.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal 2 binary64) x.re))) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.im (fma.f64 x.im (+.f64 x.im (*.f64 x.re #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.im (fma.f64 x.im (fma.f64 x.re #s(literal 2 binary64) x.im) (pow.f64 x.re #s(literal 2 binary64))))
(pow.f64 x.im #s(literal 3 binary64))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x.re x.im))))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x.re x.im) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 x.re x.im)) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 x.re x.im) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x.re x.im) #s(literal 1 binary64)) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x.re x.im) (+.f64 #s(literal 2 binary64) (/.f64 x.re x.im)))))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 x.re x.im)) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 x.re x.im) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x.re x.im) #s(literal 1 binary64)) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x.re x.im) (+.f64 #s(literal 2 binary64) (/.f64 x.re x.im)))))
(pow.f64 x.im #s(literal 3 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x.re x.im)) #s(literal 1 binary64))))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x.re x.im))))
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(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal 3 binary64))
(*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64)))
(pow.f64 (pow.f64 (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64)))
(pow.f64 (*.f64 x.re (sqrt.f64 (*.f64 x.im #s(literal 3 binary64)))) #s(literal 2 binary64))
(*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 9 binary64))))
(*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.im #s(literal 3 binary64))))
(*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))))))
(*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64)))
(cbrt.f64 (pow.f64 (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 3 binary64)))
(*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im #s(literal 3 binary64)) #s(literal 3 binary64))))
(*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x.im #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))))
(*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))))
(*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64)))
(log1p.f64 (expm1.f64 (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))))
(*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64)))
(exp.f64 (log.f64 (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))))
(*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal 1 binary64)))
(*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64)))

eval40.0ms (0.6%)

Compiler

Compiled 2172 to 1115 computations (48.7% saved)

prune32.0ms (0.5%)

Pruning

12 alts after pruning (2 fresh and 10 done)

PrunedKeptTotal
New1532155
Fresh000
Picked022
Done088
Total15312165
Accuracy
100.0%
Counts
165 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.0%
(-.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
83.1%
(-.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
83.1%
(-.f64 (*.f64 x.re (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64)))
86.0%
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
80.8%
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal 0 binary64))
83.1%
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.re (+.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) (*.f64 x.re (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))))))
52.4%
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x.im))
38.2%
(*.f64 (+.f64 x.im x.re) (*.f64 (+.f64 x.im x.re) x.im))
38.3%
(*.f64 (+.f64 x.im x.re) (*.f64 x.im x.re))
37.7%
(*.f64 x.im (*.f64 x.re (+.f64 x.re (*.f64 x.im #s(literal 2 binary64)))))
52.4%
(*.f64 x.im (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
59.6%
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
Compiler

Compiled 365 to 197 computations (46% saved)

regimes51.0ms (0.8%)

Counts
18 → 2
Calls
Call 1
Inputs
(*.f64 (+.f64 x.im x.re) (*.f64 x.im x.re))
(*.f64 x.im (*.f64 x.re (+.f64 x.re (*.f64 x.im #s(literal 2 binary64)))))
(*.f64 (+.f64 x.im x.re) (*.f64 (+.f64 x.im x.re) x.im))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal 0 binary64))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #s(literal 0 binary64))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x.im))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
(-.f64 (*.f64 x.re (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(fma.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.re (+.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) (*.f64 x.re (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))))))
(fma.f64 (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)) x.re (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
Outputs
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.re (+.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) (*.f64 x.re (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))))))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal 0 binary64))
Calls

3 calls:

20.0ms
x.im
19.0ms
x.re
11.0ms
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Results
AccuracySegmentsBranch
92.7%2x.re
99.9%2x.im
96.4%2(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Compiler

Compiled 27 to 15 computations (44.4% saved)

regimes19.0ms (0.3%)

Counts
16 → 2
Calls
Call 1
Inputs
(*.f64 (+.f64 x.im x.re) (*.f64 x.im x.re))
(*.f64 x.im (*.f64 x.re (+.f64 x.re (*.f64 x.im #s(literal 2 binary64)))))
(*.f64 (+.f64 x.im x.re) (*.f64 (+.f64 x.im x.re) x.im))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal 0 binary64))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #s(literal 0 binary64))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x.im))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
(-.f64 (*.f64 x.re (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(fma.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
Outputs
(-.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal 0 binary64))
Calls

1 calls:

18.0ms
x.im
Results
AccuracySegmentsBranch
99.9%2x.im
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes20.0ms (0.3%)

Counts
13 → 2
Calls
Call 1
Inputs
(*.f64 (+.f64 x.im x.re) (*.f64 x.im x.re))
(*.f64 x.im (*.f64 x.re (+.f64 x.re (*.f64 x.im #s(literal 2 binary64)))))
(*.f64 (+.f64 x.im x.re) (*.f64 (+.f64 x.im x.re) x.im))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal 0 binary64))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #s(literal 0 binary64))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x.im))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
(-.f64 (*.f64 x.re (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64)))
Outputs
(-.f64 (*.f64 x.re (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64)))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal 0 binary64))
Calls

1 calls:

19.0ms
x.im
Results
AccuracySegmentsBranch
99.8%2x.im
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes23.0ms (0.3%)

Counts
12 → 2
Calls
Call 1
Inputs
(*.f64 (+.f64 x.im x.re) (*.f64 x.im x.re))
(*.f64 x.im (*.f64 x.re (+.f64 x.re (*.f64 x.im #s(literal 2 binary64)))))
(*.f64 (+.f64 x.im x.re) (*.f64 (+.f64 x.im x.re) x.im))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal 0 binary64))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #s(literal 0 binary64))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x.im))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
Outputs
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal 0 binary64))
Calls

2 calls:

15.0ms
x.im
7.0ms
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Results
AccuracySegmentsBranch
95.4%2(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
95.4%2x.im
Compiler

Compiled 24 to 13 computations (45.8% saved)

regimes7.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 (+.f64 x.im x.re) (*.f64 x.im x.re))
(*.f64 x.im (*.f64 x.re (+.f64 x.re (*.f64 x.im #s(literal 2 binary64)))))
(*.f64 (+.f64 x.im x.re) (*.f64 (+.f64 x.im x.re) x.im))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal 0 binary64))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #s(literal 0 binary64))
Outputs
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal 0 binary64))
Calls

2 calls:

3.0ms
x.im
3.0ms
x.re
Results
AccuracySegmentsBranch
80.8%1x.re
80.8%1x.im
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Accuracy

Total -0.5b remaining (-1.2%)

Threshold costs -0.5b (-1.2%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 (+.f64 x.im x.re) (*.f64 x.im x.re))
(*.f64 x.im (*.f64 x.re (+.f64 x.re (*.f64 x.im #s(literal 2 binary64)))))
(*.f64 (+.f64 x.im x.re) (*.f64 (+.f64 x.im x.re) x.im))
Outputs
(*.f64 (+.f64 x.im x.re) (*.f64 x.im x.re))
Calls

2 calls:

4.0ms
x.im
2.0ms
x.re
Results
AccuracySegmentsBranch
38.3%1x.im
38.3%1x.re
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch13.0ms (0.2%)

Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
13.0ms
2.742883174190227e+89
9.320711172165198e+90
Results
8.0ms56×256valid
3.0ms23×256infinite
0.0ms256valid
Compiler

Compiled 226 to 150 computations (33.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
Operation ival-mult, time spent: 3.0ms, 66.0% of total-time
Operation ival-add, time spent: 1.0ms, 22.0% of total-time
Operation ival-sub, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch16.0ms (0.2%)

Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
16.0ms
2.742883174190227e+89
9.320711172165198e+90
Results
9.0ms43×256valid
5.0ms36×256infinite
0.0ms256valid
Compiler

Compiled 166 to 110 computations (33.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
Operation ival-mult, time spent: 3.0ms, 67.0% of total-time
Operation ival-add, time spent: 1.0ms, 22.0% of total-time
Operation ival-sub, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch3.0ms (0%)

Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
3.0ms
2.742883174190227e+89
9.320711172165198e+90
Results
1.0ms256valid
1.0ms256infinite
0.0ms256valid
Compiler

Compiled 54 to 34 computations (37% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
Operation ival-mult, time spent: 1.0ms, 110.0% of total-time
Operation ival-sub, time spent: 0.0ms, 0.0% of total-time
Operation ival-add, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch5.0ms (0.1%)

Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
5.0ms
2.13732543797755e+73
7.276613011193878e+74
Results
2.0ms18×256valid
2.0ms13×256infinite
0.0ms256valid
Compiler

Compiled 94 to 57 computations (39.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
Operation ival-mult, time spent: 1.0ms, 57.0% of total-time
Operation ival-sub, time spent: 0.0ms, 0.0% of total-time
Operation ival-add, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

simplify11.0ms (0.2%)

Algorithm
egg-herbie
Rules
17×*-commutative
12×+-commutative
sub-neg
unsub-neg
neg-sub0
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
054525
188517
295517
397517
499517
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 x.im #s(literal 7999999999999999731872901723711200398601488740961004023837396778473438043499033845492088832 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.re (+.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) (*.f64 x.re (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))))) (+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal 0 binary64)))
(if (<=.f64 x.im #s(literal 7999999999999999731872901723711200398601488740961004023837396778473438043499033845492088832 binary64)) (-.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal 0 binary64)))
(if (<=.f64 x.im #s(literal 499999999999999983242056357731950024912593046310062751489837298654589877718689615343255552 binary64)) (-.f64 (*.f64 x.re (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal 0 binary64)))
(if (<=.f64 x.im #s(literal 199999999999999990329637623605584395770392181606026710334413639527300071424 binary64)) (+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)) (+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal 0 binary64)))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal 0 binary64))
(*.f64 (+.f64 x.im x.re) (*.f64 x.im x.re))
Outputs
(if (<=.f64 x.im #s(literal 7999999999999999731872901723711200398601488740961004023837396778473438043499033845492088832 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.re (+.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) (*.f64 x.re (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))))) (+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal 0 binary64)))
(if (<=.f64 x.im #s(literal 7999999999999999731872901723711200398601488740961004023837396778473438043499033845492088832 binary64)) (+.f64 (*.f64 x.re (+.f64 (*.f64 x.im (+.f64 x.im (neg.f64 x.im))) (*.f64 x.re (+.f64 x.im (*.f64 x.im #s(literal 2 binary64)))))) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 x.im (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))))
(if (<=.f64 x.im #s(literal 7999999999999999731872901723711200398601488740961004023837396778473438043499033845492088832 binary64)) (-.f64 (*.f64 x.re (+.f64 (*.f64 x.im (-.f64 x.im x.im)) (*.f64 x.re (+.f64 x.im (*.f64 x.im #s(literal 2 binary64)))))) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.im (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))))
(if (<=.f64 x.im #s(literal 7999999999999999731872901723711200398601488740961004023837396778473438043499033845492088832 binary64)) (-.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal 0 binary64)))
(if (<=.f64 x.im #s(literal 7999999999999999731872901723711200398601488740961004023837396778473438043499033845492088832 binary64)) (-.f64 (*.f64 x.re (*.f64 x.im (*.f64 #s(literal 3 binary64) x.re))) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.im (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))))
(if (<=.f64 x.im #s(literal 499999999999999983242056357731950024912593046310062751489837298654589877718689615343255552 binary64)) (-.f64 (*.f64 x.re (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal 0 binary64)))
(if (<=.f64 x.im #s(literal 499999999999999983242056357731950024912593046310062751489837298654589877718689615343255552 binary64)) (-.f64 (*.f64 x.re (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.im (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))))
(if (<=.f64 x.im #s(literal 199999999999999990329637623605584395770392181606026710334413639527300071424 binary64)) (+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)) (+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal 0 binary64)))
(if (<=.f64 x.im #s(literal 199999999999999990329637623605584395770392181606026710334413639527300071424 binary64)) (+.f64 (*.f64 x.im (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) (*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re)))) (*.f64 x.im (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal 0 binary64))
(*.f64 x.im (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))
(*.f64 (+.f64 x.im x.re) (*.f64 x.im x.re))
(*.f64 (*.f64 x.im x.re) (+.f64 x.im x.re))
Compiler

Compiled 138 to 77 computations (44.2% saved)

soundness1.3s (19%)

Rules
1086×log1p-expm1-u
914×unsub-neg
910×log1p-expm1-u
606×fma-define
419×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033389
1633166
042563
1136491
2368483
31517309
44607301
56832301
67668301
024210
1420158
26265158
053329702
1134129702
031464
1560404
26632404
Stop Event
node limit
unsound
node limit
node limit
node limit
Compiler

Compiled 501 to 157 computations (68.7% saved)

end0.0ms (0%)

preprocess91.0ms (1.3%)

Remove

(abs x.re)

Compiler

Compiled 948 to 500 computations (47.3% saved)

Profiling

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